diff -Nru julia-0.2.0~quantalfinal1/base/build_h.jl.nogit julia-0.2.1~quantal7/base/build_h.jl.nogit --- julia-0.2.0~quantalfinal1/base/build_h.jl.nogit 2013-11-17 05:43:42.000000000 +0000 +++ julia-0.2.1~quantal7/base/build_h.jl.nogit 2014-02-20 09:26:56.000000000 +0000 @@ -12,4 +12,4 @@ fork_master_timestamp::Int TAGGED_RELEASE_BANNER::String end -const BUILD_INFO = BuildInfo( "0.2.0", "05c6461b55d9a66f05ead24926f5ee062b920d6b", "05c6461", "master", 0, "2013-11-16 23:48 UTC", false, true, 0, 1384645460, "Official http://julialang.org release" ) +const BUILD_INFO = BuildInfo( "0.2.1", "e44b5939057d87c1e854077108a1a6d66203f4fa", "e44b593905", "master", 0, "2014-01-30 13:47 UTC", false, true, 0, 1390751338, "Official http://julialang.org release" ) diff -Nru julia-0.2.0~quantalfinal1/base/dict.jl julia-0.2.1~quantal7/base/dict.jl --- julia-0.2.0~quantalfinal1/base/dict.jl 2013-11-17 02:07:04.000000000 +0000 +++ julia-0.2.1~quantal7/base/dict.jl 2014-02-19 11:08:13.000000000 +0000 @@ -238,7 +238,7 @@ return h end -function hash(a::Array) +function hash(a::AbstractArray) h::Uint = hash(size(a))+1 for i=1:length(a) h = bitmix(h,int(hash(a[i]))) @@ -247,7 +247,7 @@ end # make sure Array{Bool} and BitArray can be equivalent -hash(a::Array{Bool}) = hash(bitpack(a)) +hash(a::AbstractArray{Bool}) = hash(bitpack(a)) hash(x::ANY) = object_id(x) diff -Nru julia-0.2.0~quantalfinal1/base/inference.jl julia-0.2.1~quantal7/base/inference.jl --- julia-0.2.0~quantalfinal1/base/inference.jl 2013-11-17 02:07:04.000000000 +0000 +++ julia-0.2.1~quantal7/base/inference.jl 2014-02-19 11:08:13.000000000 +0000 @@ -267,6 +267,8 @@ end elseif i == n && vararg return last.parameters[1] + elseif i <= 0 + return None else return tupleref(t,i) end @@ -1739,7 +1741,7 @@ return (e.args[3],()) end end - if length(atypes)==2 && is(f,unbox) && isa(atypes[2],DataType) + if length(atypes)==2 && is(f,unbox) && isa(atypes[2],DataType) && !atypes[2].mutable && atypes[2].pointerfree # remove redundant unbox return (e.args[3],()) end diff -Nru julia-0.2.0~quantalfinal1/base/Makefile julia-0.2.1~quantal7/base/Makefile --- julia-0.2.0~quantalfinal1/base/Makefile 2013-11-17 02:07:04.000000000 +0000 +++ julia-0.2.1~quantal7/base/Makefile 2014-02-19 20:26:47.000000000 +0000 @@ -3,6 +3,8 @@ PCRE_CONST = 0x[0-9a-fA-F]+|[-+]?\s*[0-9]+ +TAGGED_RELEASE_BANNER = "" + all: pcre_h.jl errno_h.jl build_h.jl fenv_constants.jl file_constants.jl uv_constants.jl pcre_h.jl: @@ -38,8 +40,8 @@ @echo "const USE_BLAS64 = false" >> $@ endif @echo "const SYSCONFDIR = \"$(SYSCONFDIR)\"" >> $@ - @cat build_h.jl.nogit >> $@ + cat build_h.jl.nogit >> $@ .PHONY: build_h.jl @@ -49,6 +51,7 @@ rm -f *# *~ rm -f pcre_h.jl rm -f errno_h.jl + rm -f build_h.jl rm -f fenv_constants.jl rm -f uv_constants.jl rm -f file_constants.jl diff -Nru julia-0.2.0~quantalfinal1/base/pkg/cache.jl julia-0.2.1~quantal7/base/pkg/cache.jl --- julia-0.2.0~quantalfinal1/base/pkg/cache.jl 2013-11-17 02:07:04.000000000 +0000 +++ julia-0.2.1~quantal7/base/pkg/cache.jl 2014-02-19 11:08:13.000000000 +0000 @@ -1,11 +1,33 @@ module Cache -using Base.Git, ..Types +import Base.Git, ..Dir +using ..Types path(pkg::String) = abspath(".cache", pkg) +function mkcachedir() + cache = joinpath(realpath("."), ".cache") + if isdir(cache) + return + end + + @windows_only mkdir(cache) + @unix_only begin + if Dir.isversioned(pwd()) + rootcache = joinpath(realpath(".."), ".cache") + if !isdir(rootcache) + mkdir(rootcache) + end + run(`ln -s $rootcache $cache`) + return + end + mkdir(cache) + end +end + + function prefetch{S<:String}(pkg::String, url::String, sha1s::Vector{S}) - isdir(".cache") || mkdir(".cache") + isdir(".cache") || mkcachedir() cache = path(pkg) if !isdir(cache) info("Cloning cache of $pkg from $url") diff -Nru julia-0.2.0~quantalfinal1/base/pkg/dir.jl julia-0.2.1~quantal7/base/pkg/dir.jl --- julia-0.2.0~quantalfinal1/base/pkg/dir.jl 2013-11-17 02:07:04.000000000 +0000 +++ julia-0.2.1~quantal7/base/pkg/dir.jl 2014-02-19 11:08:13.000000000 +0000 @@ -5,13 +5,16 @@ const DIR_NAME = ".julia" +_pkgroot() = abspath(get(ENV,"JULIA_PKGDIR",joinpath(homedir(),DIR_NAME))) +isversioned(p::String) = ((x,y) = (VERSION.major, VERSION.minor); basename(p) == "v$x.$y") + function path() - b = abspath(get(ENV,"JULIA_PKGDIR",joinpath(homedir(),DIR_NAME))) + b = _pkgroot() x, y = VERSION.major, VERSION.minor d = joinpath(b,"v$x.$y") - isdir(d) && return d - d = joinpath(b,"v$x") - isdir(d) && return d + if isdir(d) || !isdir(b) || !isdir(joinpath(b, "METADATA")) + return d + end return b end path(pkg::String...) = normpath(path(),pkg...) diff -Nru julia-0.2.0~quantalfinal1/debian/changelog julia-0.2.1~quantal7/debian/changelog --- julia-0.2.0~quantalfinal1/debian/changelog 2013-12-07 10:09:19.000000000 +0000 +++ julia-0.2.1~quantal7/debian/changelog 2014-02-20 09:52:52.000000000 +0000 @@ -1,3 +1,10 @@ +julia (0.2.1~quantal7) quantal; urgency=low + + * Release of v0.2.1, which contains numerous bugfixes and compatibility improvements + See https://github.com/JuliaLang/julia/compare/v0.2.0...v0.2.1 for the details + + -- Elliot Saba Fri, 06 Dec 2013 16:38:36 -0800 + julia (0.2.0~quantalfinal1) quantal; urgency=low * Update to dependencies to remove libopenlibm diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/Changelog julia-0.2.1~quantal7/deps/double-conversion-1.1.1/Changelog --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/Changelog 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/Changelog 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,11 @@ +2012-06-10: + Tagged v1.1.1. + Null terminate exponent buffer (only an issue when asserts are enabled). + Support more architectures. + +2012-02-05: + Merged in Single-branch with single-precision support. + Tagged v1.1 (based on b28450f33e1db493948a535d8f84e88fa211bd10). + +2012-02-05: + Tagged v1.0 (based on eda0196e9ac8fcdf59e92cb62885ee0af5391969). diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/COPYING julia-0.2.1~quantal7/deps/double-conversion-1.1.1/COPYING --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/COPYING 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/COPYING 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,26 @@ +Copyright 2006-2011, the V8 project authors. 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 Google Inc. 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. diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/README julia-0.2.1~quantal7/deps/double-conversion-1.1.1/README --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/README 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/README 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,11 @@ +http://code.google.com/p/double-conversion + +This project (double-conversion) provides binary-decimal and decimal-binary +routines for IEEE doubles. + +The library consists of efficient conversion routines that have been extracted +from the V8 JavaScript engine. The code has been refactored and improved so that +it can be used more easily in other projects. + +There is extensive documentation in src/double-conversion.h. Other examples can +be found in test/cctest/test-conversions.cc. diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/SConstruct julia-0.2.1~quantal7/deps/double-conversion-1.1.1/SConstruct --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/SConstruct 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/SConstruct 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,14 @@ +double_conversion_sources = ['src/' + x for x in SConscript('src/SConscript')] +double_conversion_test_sources = ['test/cctest/' + x for x in SConscript('test/cctest/SConscript')] +test = double_conversion_sources + double_conversion_test_sources +print(test) +env = Environment(CPPPATH='#/src', LIBS=['m', 'stdc++']) +debug = ARGUMENTS.get('debug', 0) +optimize = ARGUMENTS.get('optimize', 0) +if int(debug): + env.Append(CCFLAGS = '-g -Wall -Werror') +if int(optimize): + env.Append(CCFLAGS = '-O3') +print double_conversion_sources +print double_conversion_test_sources +env.Program('run_tests', double_conversion_sources + double_conversion_test_sources) diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/bignum.cc julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/bignum.cc --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/bignum.cc 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/bignum.cc 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,764 @@ +// Copyright 2010 the V8 project authors. 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 Google Inc. 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. + +#include "bignum.h" +#include "utils.h" + +namespace double_conversion { + +Bignum::Bignum() + : bigits_(bigits_buffer_, kBigitCapacity), used_digits_(0), exponent_(0) { + for (int i = 0; i < kBigitCapacity; ++i) { + bigits_[i] = 0; + } +} + + +template +static int BitSize(S value) { + return 8 * sizeof(value); +} + +// Guaranteed to lie in one Bigit. +void Bignum::AssignUInt16(uint16_t value) { + ASSERT(kBigitSize >= BitSize(value)); + Zero(); + if (value == 0) return; + + EnsureCapacity(1); + bigits_[0] = value; + used_digits_ = 1; +} + + +void Bignum::AssignUInt64(uint64_t value) { + const int kUInt64Size = 64; + + Zero(); + if (value == 0) return; + + int needed_bigits = kUInt64Size / kBigitSize + 1; + EnsureCapacity(needed_bigits); + for (int i = 0; i < needed_bigits; ++i) { + bigits_[i] = value & kBigitMask; + value = value >> kBigitSize; + } + used_digits_ = needed_bigits; + Clamp(); +} + + +void Bignum::AssignBignum(const Bignum& other) { + exponent_ = other.exponent_; + for (int i = 0; i < other.used_digits_; ++i) { + bigits_[i] = other.bigits_[i]; + } + // Clear the excess digits (if there were any). + for (int i = other.used_digits_; i < used_digits_; ++i) { + bigits_[i] = 0; + } + used_digits_ = other.used_digits_; +} + + +static uint64_t ReadUInt64(Vector buffer, + int from, + int digits_to_read) { + uint64_t result = 0; + for (int i = from; i < from + digits_to_read; ++i) { + int digit = buffer[i] - '0'; + ASSERT(0 <= digit && digit <= 9); + result = result * 10 + digit; + } + return result; +} + + +void Bignum::AssignDecimalString(Vector value) { + // 2^64 = 18446744073709551616 > 10^19 + const int kMaxUint64DecimalDigits = 19; + Zero(); + int length = value.length(); + int pos = 0; + // Let's just say that each digit needs 4 bits. + while (length >= kMaxUint64DecimalDigits) { + uint64_t digits = ReadUInt64(value, pos, kMaxUint64DecimalDigits); + pos += kMaxUint64DecimalDigits; + length -= kMaxUint64DecimalDigits; + MultiplyByPowerOfTen(kMaxUint64DecimalDigits); + AddUInt64(digits); + } + uint64_t digits = ReadUInt64(value, pos, length); + MultiplyByPowerOfTen(length); + AddUInt64(digits); + Clamp(); +} + + +static int HexCharValue(char c) { + if ('0' <= c && c <= '9') return c - '0'; + if ('a' <= c && c <= 'f') return 10 + c - 'a'; + if ('A' <= c && c <= 'F') return 10 + c - 'A'; + UNREACHABLE(); + return 0; // To make compiler happy. +} + + +void Bignum::AssignHexString(Vector value) { + Zero(); + int length = value.length(); + + int needed_bigits = length * 4 / kBigitSize + 1; + EnsureCapacity(needed_bigits); + int string_index = length - 1; + for (int i = 0; i < needed_bigits - 1; ++i) { + // These bigits are guaranteed to be "full". + Chunk current_bigit = 0; + for (int j = 0; j < kBigitSize / 4; j++) { + current_bigit += HexCharValue(value[string_index--]) << (j * 4); + } + bigits_[i] = current_bigit; + } + used_digits_ = needed_bigits - 1; + + Chunk most_significant_bigit = 0; // Could be = 0; + for (int j = 0; j <= string_index; ++j) { + most_significant_bigit <<= 4; + most_significant_bigit += HexCharValue(value[j]); + } + if (most_significant_bigit != 0) { + bigits_[used_digits_] = most_significant_bigit; + used_digits_++; + } + Clamp(); +} + + +void Bignum::AddUInt64(uint64_t operand) { + if (operand == 0) return; + Bignum other; + other.AssignUInt64(operand); + AddBignum(other); +} + + +void Bignum::AddBignum(const Bignum& other) { + ASSERT(IsClamped()); + ASSERT(other.IsClamped()); + + // If this has a greater exponent than other append zero-bigits to this. + // After this call exponent_ <= other.exponent_. + Align(other); + + // There are two possibilities: + // aaaaaaaaaaa 0000 (where the 0s represent a's exponent) + // bbbbb 00000000 + // ---------------- + // ccccccccccc 0000 + // or + // aaaaaaaaaa 0000 + // bbbbbbbbb 0000000 + // ----------------- + // cccccccccccc 0000 + // In both cases we might need a carry bigit. + + EnsureCapacity(1 + Max(BigitLength(), other.BigitLength()) - exponent_); + Chunk carry = 0; + int bigit_pos = other.exponent_ - exponent_; + ASSERT(bigit_pos >= 0); + for (int i = 0; i < other.used_digits_; ++i) { + Chunk sum = bigits_[bigit_pos] + other.bigits_[i] + carry; + bigits_[bigit_pos] = sum & kBigitMask; + carry = sum >> kBigitSize; + bigit_pos++; + } + + while (carry != 0) { + Chunk sum = bigits_[bigit_pos] + carry; + bigits_[bigit_pos] = sum & kBigitMask; + carry = sum >> kBigitSize; + bigit_pos++; + } + used_digits_ = Max(bigit_pos, used_digits_); + ASSERT(IsClamped()); +} + + +void Bignum::SubtractBignum(const Bignum& other) { + ASSERT(IsClamped()); + ASSERT(other.IsClamped()); + // We require this to be bigger than other. + ASSERT(LessEqual(other, *this)); + + Align(other); + + int offset = other.exponent_ - exponent_; + Chunk borrow = 0; + int i; + for (i = 0; i < other.used_digits_; ++i) { + ASSERT((borrow == 0) || (borrow == 1)); + Chunk difference = bigits_[i + offset] - other.bigits_[i] - borrow; + bigits_[i + offset] = difference & kBigitMask; + borrow = difference >> (kChunkSize - 1); + } + while (borrow != 0) { + Chunk difference = bigits_[i + offset] - borrow; + bigits_[i + offset] = difference & kBigitMask; + borrow = difference >> (kChunkSize - 1); + ++i; + } + Clamp(); +} + + +void Bignum::ShiftLeft(int shift_amount) { + if (used_digits_ == 0) return; + exponent_ += shift_amount / kBigitSize; + int local_shift = shift_amount % kBigitSize; + EnsureCapacity(used_digits_ + 1); + BigitsShiftLeft(local_shift); +} + + +void Bignum::MultiplyByUInt32(uint32_t factor) { + if (factor == 1) return; + if (factor == 0) { + Zero(); + return; + } + if (used_digits_ == 0) return; + + // The product of a bigit with the factor is of size kBigitSize + 32. + // Assert that this number + 1 (for the carry) fits into double chunk. + ASSERT(kDoubleChunkSize >= kBigitSize + 32 + 1); + DoubleChunk carry = 0; + for (int i = 0; i < used_digits_; ++i) { + DoubleChunk product = static_cast(factor) * bigits_[i] + carry; + bigits_[i] = static_cast(product & kBigitMask); + carry = (product >> kBigitSize); + } + while (carry != 0) { + EnsureCapacity(used_digits_ + 1); + bigits_[used_digits_] = carry & kBigitMask; + used_digits_++; + carry >>= kBigitSize; + } +} + + +void Bignum::MultiplyByUInt64(uint64_t factor) { + if (factor == 1) return; + if (factor == 0) { + Zero(); + return; + } + ASSERT(kBigitSize < 32); + uint64_t carry = 0; + uint64_t low = factor & 0xFFFFFFFF; + uint64_t high = factor >> 32; + for (int i = 0; i < used_digits_; ++i) { + uint64_t product_low = low * bigits_[i]; + uint64_t product_high = high * bigits_[i]; + uint64_t tmp = (carry & kBigitMask) + product_low; + bigits_[i] = tmp & kBigitMask; + carry = (carry >> kBigitSize) + (tmp >> kBigitSize) + + (product_high << (32 - kBigitSize)); + } + while (carry != 0) { + EnsureCapacity(used_digits_ + 1); + bigits_[used_digits_] = carry & kBigitMask; + used_digits_++; + carry >>= kBigitSize; + } +} + + +void Bignum::MultiplyByPowerOfTen(int exponent) { + const uint64_t kFive27 = UINT64_2PART_C(0x6765c793, fa10079d); + const uint16_t kFive1 = 5; + const uint16_t kFive2 = kFive1 * 5; + const uint16_t kFive3 = kFive2 * 5; + const uint16_t kFive4 = kFive3 * 5; + const uint16_t kFive5 = kFive4 * 5; + const uint16_t kFive6 = kFive5 * 5; + const uint32_t kFive7 = kFive6 * 5; + const uint32_t kFive8 = kFive7 * 5; + const uint32_t kFive9 = kFive8 * 5; + const uint32_t kFive10 = kFive9 * 5; + const uint32_t kFive11 = kFive10 * 5; + const uint32_t kFive12 = kFive11 * 5; + const uint32_t kFive13 = kFive12 * 5; + const uint32_t kFive1_to_12[] = + { kFive1, kFive2, kFive3, kFive4, kFive5, kFive6, + kFive7, kFive8, kFive9, kFive10, kFive11, kFive12 }; + + ASSERT(exponent >= 0); + if (exponent == 0) return; + if (used_digits_ == 0) return; + + // We shift by exponent at the end just before returning. + int remaining_exponent = exponent; + while (remaining_exponent >= 27) { + MultiplyByUInt64(kFive27); + remaining_exponent -= 27; + } + while (remaining_exponent >= 13) { + MultiplyByUInt32(kFive13); + remaining_exponent -= 13; + } + if (remaining_exponent > 0) { + MultiplyByUInt32(kFive1_to_12[remaining_exponent - 1]); + } + ShiftLeft(exponent); +} + + +void Bignum::Square() { + ASSERT(IsClamped()); + int product_length = 2 * used_digits_; + EnsureCapacity(product_length); + + // Comba multiplication: compute each column separately. + // Example: r = a2a1a0 * b2b1b0. + // r = 1 * a0b0 + + // 10 * (a1b0 + a0b1) + + // 100 * (a2b0 + a1b1 + a0b2) + + // 1000 * (a2b1 + a1b2) + + // 10000 * a2b2 + // + // In the worst case we have to accumulate nb-digits products of digit*digit. + // + // Assert that the additional number of bits in a DoubleChunk are enough to + // sum up used_digits of Bigit*Bigit. + if ((1 << (2 * (kChunkSize - kBigitSize))) <= used_digits_) { + UNIMPLEMENTED(); + } + DoubleChunk accumulator = 0; + // First shift the digits so we don't overwrite them. + int copy_offset = used_digits_; + for (int i = 0; i < used_digits_; ++i) { + bigits_[copy_offset + i] = bigits_[i]; + } + // We have two loops to avoid some 'if's in the loop. + for (int i = 0; i < used_digits_; ++i) { + // Process temporary digit i with power i. + // The sum of the two indices must be equal to i. + int bigit_index1 = i; + int bigit_index2 = 0; + // Sum all of the sub-products. + while (bigit_index1 >= 0) { + Chunk chunk1 = bigits_[copy_offset + bigit_index1]; + Chunk chunk2 = bigits_[copy_offset + bigit_index2]; + accumulator += static_cast(chunk1) * chunk2; + bigit_index1--; + bigit_index2++; + } + bigits_[i] = static_cast(accumulator) & kBigitMask; + accumulator >>= kBigitSize; + } + for (int i = used_digits_; i < product_length; ++i) { + int bigit_index1 = used_digits_ - 1; + int bigit_index2 = i - bigit_index1; + // Invariant: sum of both indices is again equal to i. + // Inner loop runs 0 times on last iteration, emptying accumulator. + while (bigit_index2 < used_digits_) { + Chunk chunk1 = bigits_[copy_offset + bigit_index1]; + Chunk chunk2 = bigits_[copy_offset + bigit_index2]; + accumulator += static_cast(chunk1) * chunk2; + bigit_index1--; + bigit_index2++; + } + // The overwritten bigits_[i] will never be read in further loop iterations, + // because bigit_index1 and bigit_index2 are always greater + // than i - used_digits_. + bigits_[i] = static_cast(accumulator) & kBigitMask; + accumulator >>= kBigitSize; + } + // Since the result was guaranteed to lie inside the number the + // accumulator must be 0 now. + ASSERT(accumulator == 0); + + // Don't forget to update the used_digits and the exponent. + used_digits_ = product_length; + exponent_ *= 2; + Clamp(); +} + + +void Bignum::AssignPowerUInt16(uint16_t base, int power_exponent) { + ASSERT(base != 0); + ASSERT(power_exponent >= 0); + if (power_exponent == 0) { + AssignUInt16(1); + return; + } + Zero(); + int shifts = 0; + // We expect base to be in range 2-32, and most often to be 10. + // It does not make much sense to implement different algorithms for counting + // the bits. + while ((base & 1) == 0) { + base >>= 1; + shifts++; + } + int bit_size = 0; + int tmp_base = base; + while (tmp_base != 0) { + tmp_base >>= 1; + bit_size++; + } + int final_size = bit_size * power_exponent; + // 1 extra bigit for the shifting, and one for rounded final_size. + EnsureCapacity(final_size / kBigitSize + 2); + + // Left to Right exponentiation. + int mask = 1; + while (power_exponent >= mask) mask <<= 1; + + // The mask is now pointing to the bit above the most significant 1-bit of + // power_exponent. + // Get rid of first 1-bit; + mask >>= 2; + uint64_t this_value = base; + + bool delayed_multipliciation = false; + const uint64_t max_32bits = 0xFFFFFFFF; + while (mask != 0 && this_value <= max_32bits) { + this_value = this_value * this_value; + // Verify that there is enough space in this_value to perform the + // multiplication. The first bit_size bits must be 0. + if ((power_exponent & mask) != 0) { + uint64_t base_bits_mask = + ~((static_cast(1) << (64 - bit_size)) - 1); + bool high_bits_zero = (this_value & base_bits_mask) == 0; + if (high_bits_zero) { + this_value *= base; + } else { + delayed_multipliciation = true; + } + } + mask >>= 1; + } + AssignUInt64(this_value); + if (delayed_multipliciation) { + MultiplyByUInt32(base); + } + + // Now do the same thing as a bignum. + while (mask != 0) { + Square(); + if ((power_exponent & mask) != 0) { + MultiplyByUInt32(base); + } + mask >>= 1; + } + + // And finally add the saved shifts. + ShiftLeft(shifts * power_exponent); +} + + +// Precondition: this/other < 16bit. +uint16_t Bignum::DivideModuloIntBignum(const Bignum& other) { + ASSERT(IsClamped()); + ASSERT(other.IsClamped()); + ASSERT(other.used_digits_ > 0); + + // Easy case: if we have less digits than the divisor than the result is 0. + // Note: this handles the case where this == 0, too. + if (BigitLength() < other.BigitLength()) { + return 0; + } + + Align(other); + + uint16_t result = 0; + + // Start by removing multiples of 'other' until both numbers have the same + // number of digits. + while (BigitLength() > other.BigitLength()) { + // This naive approach is extremely inefficient if the this divided other + // might be big. This function is implemented for doubleToString where + // the result should be small (less than 10). + ASSERT(other.bigits_[other.used_digits_ - 1] >= ((1 << kBigitSize) / 16)); + // Remove the multiples of the first digit. + // Example this = 23 and other equals 9. -> Remove 2 multiples. + result += bigits_[used_digits_ - 1]; + SubtractTimes(other, bigits_[used_digits_ - 1]); + } + + ASSERT(BigitLength() == other.BigitLength()); + + // Both bignums are at the same length now. + // Since other has more than 0 digits we know that the access to + // bigits_[used_digits_ - 1] is safe. + Chunk this_bigit = bigits_[used_digits_ - 1]; + Chunk other_bigit = other.bigits_[other.used_digits_ - 1]; + + if (other.used_digits_ == 1) { + // Shortcut for easy (and common) case. + int quotient = this_bigit / other_bigit; + bigits_[used_digits_ - 1] = this_bigit - other_bigit * quotient; + result += quotient; + Clamp(); + return result; + } + + int division_estimate = this_bigit / (other_bigit + 1); + result += division_estimate; + SubtractTimes(other, division_estimate); + + if (other_bigit * (division_estimate + 1) > this_bigit) { + // No need to even try to subtract. Even if other's remaining digits were 0 + // another subtraction would be too much. + return result; + } + + while (LessEqual(other, *this)) { + SubtractBignum(other); + result++; + } + return result; +} + + +template +static int SizeInHexChars(S number) { + ASSERT(number > 0); + int result = 0; + while (number != 0) { + number >>= 4; + result++; + } + return result; +} + + +static char HexCharOfValue(int value) { + ASSERT(0 <= value && value <= 16); + if (value < 10) return value + '0'; + return value - 10 + 'A'; +} + + +bool Bignum::ToHexString(char* buffer, int buffer_size) const { + ASSERT(IsClamped()); + // Each bigit must be printable as separate hex-character. + ASSERT(kBigitSize % 4 == 0); + const int kHexCharsPerBigit = kBigitSize / 4; + + if (used_digits_ == 0) { + if (buffer_size < 2) return false; + buffer[0] = '0'; + buffer[1] = '\0'; + return true; + } + // We add 1 for the terminating '\0' character. + int needed_chars = (BigitLength() - 1) * kHexCharsPerBigit + + SizeInHexChars(bigits_[used_digits_ - 1]) + 1; + if (needed_chars > buffer_size) return false; + int string_index = needed_chars - 1; + buffer[string_index--] = '\0'; + for (int i = 0; i < exponent_; ++i) { + for (int j = 0; j < kHexCharsPerBigit; ++j) { + buffer[string_index--] = '0'; + } + } + for (int i = 0; i < used_digits_ - 1; ++i) { + Chunk current_bigit = bigits_[i]; + for (int j = 0; j < kHexCharsPerBigit; ++j) { + buffer[string_index--] = HexCharOfValue(current_bigit & 0xF); + current_bigit >>= 4; + } + } + // And finally the last bigit. + Chunk most_significant_bigit = bigits_[used_digits_ - 1]; + while (most_significant_bigit != 0) { + buffer[string_index--] = HexCharOfValue(most_significant_bigit & 0xF); + most_significant_bigit >>= 4; + } + return true; +} + + +Bignum::Chunk Bignum::BigitAt(int index) const { + if (index >= BigitLength()) return 0; + if (index < exponent_) return 0; + return bigits_[index - exponent_]; +} + + +int Bignum::Compare(const Bignum& a, const Bignum& b) { + ASSERT(a.IsClamped()); + ASSERT(b.IsClamped()); + int bigit_length_a = a.BigitLength(); + int bigit_length_b = b.BigitLength(); + if (bigit_length_a < bigit_length_b) return -1; + if (bigit_length_a > bigit_length_b) return +1; + for (int i = bigit_length_a - 1; i >= Min(a.exponent_, b.exponent_); --i) { + Chunk bigit_a = a.BigitAt(i); + Chunk bigit_b = b.BigitAt(i); + if (bigit_a < bigit_b) return -1; + if (bigit_a > bigit_b) return +1; + // Otherwise they are equal up to this digit. Try the next digit. + } + return 0; +} + + +int Bignum::PlusCompare(const Bignum& a, const Bignum& b, const Bignum& c) { + ASSERT(a.IsClamped()); + ASSERT(b.IsClamped()); + ASSERT(c.IsClamped()); + if (a.BigitLength() < b.BigitLength()) { + return PlusCompare(b, a, c); + } + if (a.BigitLength() + 1 < c.BigitLength()) return -1; + if (a.BigitLength() > c.BigitLength()) return +1; + // The exponent encodes 0-bigits. So if there are more 0-digits in 'a' than + // 'b' has digits, then the bigit-length of 'a'+'b' must be equal to the one + // of 'a'. + if (a.exponent_ >= b.BigitLength() && a.BigitLength() < c.BigitLength()) { + return -1; + } + + Chunk borrow = 0; + // Starting at min_exponent all digits are == 0. So no need to compare them. + int min_exponent = Min(Min(a.exponent_, b.exponent_), c.exponent_); + for (int i = c.BigitLength() - 1; i >= min_exponent; --i) { + Chunk chunk_a = a.BigitAt(i); + Chunk chunk_b = b.BigitAt(i); + Chunk chunk_c = c.BigitAt(i); + Chunk sum = chunk_a + chunk_b; + if (sum > chunk_c + borrow) { + return +1; + } else { + borrow = chunk_c + borrow - sum; + if (borrow > 1) return -1; + borrow <<= kBigitSize; + } + } + if (borrow == 0) return 0; + return -1; +} + + +void Bignum::Clamp() { + while (used_digits_ > 0 && bigits_[used_digits_ - 1] == 0) { + used_digits_--; + } + if (used_digits_ == 0) { + // Zero. + exponent_ = 0; + } +} + + +bool Bignum::IsClamped() const { + return used_digits_ == 0 || bigits_[used_digits_ - 1] != 0; +} + + +void Bignum::Zero() { + for (int i = 0; i < used_digits_; ++i) { + bigits_[i] = 0; + } + used_digits_ = 0; + exponent_ = 0; +} + + +void Bignum::Align(const Bignum& other) { + if (exponent_ > other.exponent_) { + // If "X" represents a "hidden" digit (by the exponent) then we are in the + // following case (a == this, b == other): + // a: aaaaaaXXXX or a: aaaaaXXX + // b: bbbbbbX b: bbbbbbbbXX + // We replace some of the hidden digits (X) of a with 0 digits. + // a: aaaaaa000X or a: aaaaa0XX + int zero_digits = exponent_ - other.exponent_; + EnsureCapacity(used_digits_ + zero_digits); + for (int i = used_digits_ - 1; i >= 0; --i) { + bigits_[i + zero_digits] = bigits_[i]; + } + for (int i = 0; i < zero_digits; ++i) { + bigits_[i] = 0; + } + used_digits_ += zero_digits; + exponent_ -= zero_digits; + ASSERT(used_digits_ >= 0); + ASSERT(exponent_ >= 0); + } +} + + +void Bignum::BigitsShiftLeft(int shift_amount) { + ASSERT(shift_amount < kBigitSize); + ASSERT(shift_amount >= 0); + Chunk carry = 0; + for (int i = 0; i < used_digits_; ++i) { + Chunk new_carry = bigits_[i] >> (kBigitSize - shift_amount); + bigits_[i] = ((bigits_[i] << shift_amount) + carry) & kBigitMask; + carry = new_carry; + } + if (carry != 0) { + bigits_[used_digits_] = carry; + used_digits_++; + } +} + + +void Bignum::SubtractTimes(const Bignum& other, int factor) { + ASSERT(exponent_ <= other.exponent_); + if (factor < 3) { + for (int i = 0; i < factor; ++i) { + SubtractBignum(other); + } + return; + } + Chunk borrow = 0; + int exponent_diff = other.exponent_ - exponent_; + for (int i = 0; i < other.used_digits_; ++i) { + DoubleChunk product = static_cast(factor) * other.bigits_[i]; + DoubleChunk remove = borrow + product; + Chunk difference = bigits_[i + exponent_diff] - (remove & kBigitMask); + bigits_[i + exponent_diff] = difference & kBigitMask; + borrow = static_cast((difference >> (kChunkSize - 1)) + + (remove >> kBigitSize)); + } + for (int i = other.used_digits_ + exponent_diff; i < used_digits_; ++i) { + if (borrow == 0) return; + Chunk difference = bigits_[i] - borrow; + bigits_[i] = difference & kBigitMask; + borrow = difference >> (kChunkSize - 1); + ++i; + } + Clamp(); +} + + +} // namespace double_conversion diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/bignum-dtoa.cc julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/bignum-dtoa.cc --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/bignum-dtoa.cc 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/bignum-dtoa.cc 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,640 @@ +// Copyright 2010 the V8 project authors. 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 Google Inc. 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. + +#include + +#include "bignum-dtoa.h" + +#include "bignum.h" +#include "ieee.h" + +namespace double_conversion { + +static int NormalizedExponent(uint64_t significand, int exponent) { + ASSERT(significand != 0); + while ((significand & Double::kHiddenBit) == 0) { + significand = significand << 1; + exponent = exponent - 1; + } + return exponent; +} + + +// Forward declarations: +// Returns an estimation of k such that 10^(k-1) <= v < 10^k. +static int EstimatePower(int exponent); +// Computes v / 10^estimated_power exactly, as a ratio of two bignums, numerator +// and denominator. +static void InitialScaledStartValues(uint64_t significand, + int exponent, + bool lower_boundary_is_closer, + int estimated_power, + bool need_boundary_deltas, + Bignum* numerator, + Bignum* denominator, + Bignum* delta_minus, + Bignum* delta_plus); +// Multiplies numerator/denominator so that its values lies in the range 1-10. +// Returns decimal_point s.t. +// v = numerator'/denominator' * 10^(decimal_point-1) +// where numerator' and denominator' are the values of numerator and +// denominator after the call to this function. +static void FixupMultiply10(int estimated_power, bool is_even, + int* decimal_point, + Bignum* numerator, Bignum* denominator, + Bignum* delta_minus, Bignum* delta_plus); +// Generates digits from the left to the right and stops when the generated +// digits yield the shortest decimal representation of v. +static void GenerateShortestDigits(Bignum* numerator, Bignum* denominator, + Bignum* delta_minus, Bignum* delta_plus, + bool is_even, + Vector buffer, int* length); +// Generates 'requested_digits' after the decimal point. +static void BignumToFixed(int requested_digits, int* decimal_point, + Bignum* numerator, Bignum* denominator, + Vector(buffer), int* length); +// Generates 'count' digits of numerator/denominator. +// Once 'count' digits have been produced rounds the result depending on the +// remainder (remainders of exactly .5 round upwards). Might update the +// decimal_point when rounding up (for example for 0.9999). +static void GenerateCountedDigits(int count, int* decimal_point, + Bignum* numerator, Bignum* denominator, + Vector(buffer), int* length); + + +void BignumDtoa(double v, BignumDtoaMode mode, int requested_digits, + Vector buffer, int* length, int* decimal_point) { + ASSERT(v > 0); + ASSERT(!Double(v).IsSpecial()); + uint64_t significand; + int exponent; + bool lower_boundary_is_closer; + if (mode == BIGNUM_DTOA_SHORTEST_SINGLE) { + float f = static_cast(v); + ASSERT(f == v); + significand = Single(f).Significand(); + exponent = Single(f).Exponent(); + lower_boundary_is_closer = Single(f).LowerBoundaryIsCloser(); + } else { + significand = Double(v).Significand(); + exponent = Double(v).Exponent(); + lower_boundary_is_closer = Double(v).LowerBoundaryIsCloser(); + } + bool need_boundary_deltas = + (mode == BIGNUM_DTOA_SHORTEST || mode == BIGNUM_DTOA_SHORTEST_SINGLE); + + bool is_even = (significand & 1) == 0; + int normalized_exponent = NormalizedExponent(significand, exponent); + // estimated_power might be too low by 1. + int estimated_power = EstimatePower(normalized_exponent); + + // Shortcut for Fixed. + // The requested digits correspond to the digits after the point. If the + // number is much too small, then there is no need in trying to get any + // digits. + if (mode == BIGNUM_DTOA_FIXED && -estimated_power - 1 > requested_digits) { + buffer[0] = '\0'; + *length = 0; + // Set decimal-point to -requested_digits. This is what Gay does. + // Note that it should not have any effect anyways since the string is + // empty. + *decimal_point = -requested_digits; + return; + } + + Bignum numerator; + Bignum denominator; + Bignum delta_minus; + Bignum delta_plus; + // Make sure the bignum can grow large enough. The smallest double equals + // 4e-324. In this case the denominator needs fewer than 324*4 binary digits. + // The maximum double is 1.7976931348623157e308 which needs fewer than + // 308*4 binary digits. + ASSERT(Bignum::kMaxSignificantBits >= 324*4); + InitialScaledStartValues(significand, exponent, lower_boundary_is_closer, + estimated_power, need_boundary_deltas, + &numerator, &denominator, + &delta_minus, &delta_plus); + // We now have v = (numerator / denominator) * 10^estimated_power. + FixupMultiply10(estimated_power, is_even, decimal_point, + &numerator, &denominator, + &delta_minus, &delta_plus); + // We now have v = (numerator / denominator) * 10^(decimal_point-1), and + // 1 <= (numerator + delta_plus) / denominator < 10 + switch (mode) { + case BIGNUM_DTOA_SHORTEST: + case BIGNUM_DTOA_SHORTEST_SINGLE: + GenerateShortestDigits(&numerator, &denominator, + &delta_minus, &delta_plus, + is_even, buffer, length); + break; + case BIGNUM_DTOA_FIXED: + BignumToFixed(requested_digits, decimal_point, + &numerator, &denominator, + buffer, length); + break; + case BIGNUM_DTOA_PRECISION: + GenerateCountedDigits(requested_digits, decimal_point, + &numerator, &denominator, + buffer, length); + break; + default: + UNREACHABLE(); + } + buffer[*length] = '\0'; +} + + +// The procedure starts generating digits from the left to the right and stops +// when the generated digits yield the shortest decimal representation of v. A +// decimal representation of v is a number lying closer to v than to any other +// double, so it converts to v when read. +// +// This is true if d, the decimal representation, is between m- and m+, the +// upper and lower boundaries. d must be strictly between them if !is_even. +// m- := (numerator - delta_minus) / denominator +// m+ := (numerator + delta_plus) / denominator +// +// Precondition: 0 <= (numerator+delta_plus) / denominator < 10. +// If 1 <= (numerator+delta_plus) / denominator < 10 then no leading 0 digit +// will be produced. This should be the standard precondition. +static void GenerateShortestDigits(Bignum* numerator, Bignum* denominator, + Bignum* delta_minus, Bignum* delta_plus, + bool is_even, + Vector buffer, int* length) { + // Small optimization: if delta_minus and delta_plus are the same just reuse + // one of the two bignums. + if (Bignum::Equal(*delta_minus, *delta_plus)) { + delta_plus = delta_minus; + } + *length = 0; + while (true) { + uint16_t digit; + digit = numerator->DivideModuloIntBignum(*denominator); + ASSERT(digit <= 9); // digit is a uint16_t and therefore always positive. + // digit = numerator / denominator (integer division). + // numerator = numerator % denominator. + buffer[(*length)++] = digit + '0'; + + // Can we stop already? + // If the remainder of the division is less than the distance to the lower + // boundary we can stop. In this case we simply round down (discarding the + // remainder). + // Similarly we test if we can round up (using the upper boundary). + bool in_delta_room_minus; + bool in_delta_room_plus; + if (is_even) { + in_delta_room_minus = Bignum::LessEqual(*numerator, *delta_minus); + } else { + in_delta_room_minus = Bignum::Less(*numerator, *delta_minus); + } + if (is_even) { + in_delta_room_plus = + Bignum::PlusCompare(*numerator, *delta_plus, *denominator) >= 0; + } else { + in_delta_room_plus = + Bignum::PlusCompare(*numerator, *delta_plus, *denominator) > 0; + } + if (!in_delta_room_minus && !in_delta_room_plus) { + // Prepare for next iteration. + numerator->Times10(); + delta_minus->Times10(); + // We optimized delta_plus to be equal to delta_minus (if they share the + // same value). So don't multiply delta_plus if they point to the same + // object. + if (delta_minus != delta_plus) { + delta_plus->Times10(); + } + } else if (in_delta_room_minus && in_delta_room_plus) { + // Let's see if 2*numerator < denominator. + // If yes, then the next digit would be < 5 and we can round down. + int compare = Bignum::PlusCompare(*numerator, *numerator, *denominator); + if (compare < 0) { + // Remaining digits are less than .5. -> Round down (== do nothing). + } else if (compare > 0) { + // Remaining digits are more than .5 of denominator. -> Round up. + // Note that the last digit could not be a '9' as otherwise the whole + // loop would have stopped earlier. + // We still have an assert here in case the preconditions were not + // satisfied. + ASSERT(buffer[(*length) - 1] != '9'); + buffer[(*length) - 1]++; + } else { + // Halfway case. + // TODO(floitsch): need a way to solve half-way cases. + // For now let's round towards even (since this is what Gay seems to + // do). + + if ((buffer[(*length) - 1] - '0') % 2 == 0) { + // Round down => Do nothing. + } else { + ASSERT(buffer[(*length) - 1] != '9'); + buffer[(*length) - 1]++; + } + } + return; + } else if (in_delta_room_minus) { + // Round down (== do nothing). + return; + } else { // in_delta_room_plus + // Round up. + // Note again that the last digit could not be '9' since this would have + // stopped the loop earlier. + // We still have an ASSERT here, in case the preconditions were not + // satisfied. + ASSERT(buffer[(*length) -1] != '9'); + buffer[(*length) - 1]++; + return; + } + } +} + + +// Let v = numerator / denominator < 10. +// Then we generate 'count' digits of d = x.xxxxx... (without the decimal point) +// from left to right. Once 'count' digits have been produced we decide wether +// to round up or down. Remainders of exactly .5 round upwards. Numbers such +// as 9.999999 propagate a carry all the way, and change the +// exponent (decimal_point), when rounding upwards. +static void GenerateCountedDigits(int count, int* decimal_point, + Bignum* numerator, Bignum* denominator, + Vector(buffer), int* length) { + ASSERT(count >= 0); + for (int i = 0; i < count - 1; ++i) { + uint16_t digit; + digit = numerator->DivideModuloIntBignum(*denominator); + ASSERT(digit <= 9); // digit is a uint16_t and therefore always positive. + // digit = numerator / denominator (integer division). + // numerator = numerator % denominator. + buffer[i] = digit + '0'; + // Prepare for next iteration. + numerator->Times10(); + } + // Generate the last digit. + uint16_t digit; + digit = numerator->DivideModuloIntBignum(*denominator); + if (Bignum::PlusCompare(*numerator, *numerator, *denominator) >= 0) { + digit++; + } + buffer[count - 1] = digit + '0'; + // Correct bad digits (in case we had a sequence of '9's). Propagate the + // carry until we hat a non-'9' or til we reach the first digit. + for (int i = count - 1; i > 0; --i) { + if (buffer[i] != '0' + 10) break; + buffer[i] = '0'; + buffer[i - 1]++; + } + if (buffer[0] == '0' + 10) { + // Propagate a carry past the top place. + buffer[0] = '1'; + (*decimal_point)++; + } + *length = count; +} + + +// Generates 'requested_digits' after the decimal point. It might omit +// trailing '0's. If the input number is too small then no digits at all are +// generated (ex.: 2 fixed digits for 0.00001). +// +// Input verifies: 1 <= (numerator + delta) / denominator < 10. +static void BignumToFixed(int requested_digits, int* decimal_point, + Bignum* numerator, Bignum* denominator, + Vector(buffer), int* length) { + // Note that we have to look at more than just the requested_digits, since + // a number could be rounded up. Example: v=0.5 with requested_digits=0. + // Even though the power of v equals 0 we can't just stop here. + if (-(*decimal_point) > requested_digits) { + // The number is definitively too small. + // Ex: 0.001 with requested_digits == 1. + // Set decimal-point to -requested_digits. This is what Gay does. + // Note that it should not have any effect anyways since the string is + // empty. + *decimal_point = -requested_digits; + *length = 0; + return; + } else if (-(*decimal_point) == requested_digits) { + // We only need to verify if the number rounds down or up. + // Ex: 0.04 and 0.06 with requested_digits == 1. + ASSERT(*decimal_point == -requested_digits); + // Initially the fraction lies in range (1, 10]. Multiply the denominator + // by 10 so that we can compare more easily. + denominator->Times10(); + if (Bignum::PlusCompare(*numerator, *numerator, *denominator) >= 0) { + // If the fraction is >= 0.5 then we have to include the rounded + // digit. + buffer[0] = '1'; + *length = 1; + (*decimal_point)++; + } else { + // Note that we caught most of similar cases earlier. + *length = 0; + } + return; + } else { + // The requested digits correspond to the digits after the point. + // The variable 'needed_digits' includes the digits before the point. + int needed_digits = (*decimal_point) + requested_digits; + GenerateCountedDigits(needed_digits, decimal_point, + numerator, denominator, + buffer, length); + } +} + + +// Returns an estimation of k such that 10^(k-1) <= v < 10^k where +// v = f * 2^exponent and 2^52 <= f < 2^53. +// v is hence a normalized double with the given exponent. The output is an +// approximation for the exponent of the decimal approimation .digits * 10^k. +// +// The result might undershoot by 1 in which case 10^k <= v < 10^k+1. +// Note: this property holds for v's upper boundary m+ too. +// 10^k <= m+ < 10^k+1. +// (see explanation below). +// +// Examples: +// EstimatePower(0) => 16 +// EstimatePower(-52) => 0 +// +// Note: e >= 0 => EstimatedPower(e) > 0. No similar claim can be made for e<0. +static int EstimatePower(int exponent) { + // This function estimates log10 of v where v = f*2^e (with e == exponent). + // Note that 10^floor(log10(v)) <= v, but v <= 10^ceil(log10(v)). + // Note that f is bounded by its container size. Let p = 53 (the double's + // significand size). Then 2^(p-1) <= f < 2^p. + // + // Given that log10(v) == log2(v)/log2(10) and e+(len(f)-1) is quite close + // to log2(v) the function is simplified to (e+(len(f)-1)/log2(10)). + // The computed number undershoots by less than 0.631 (when we compute log3 + // and not log10). + // + // Optimization: since we only need an approximated result this computation + // can be performed on 64 bit integers. On x86/x64 architecture the speedup is + // not really measurable, though. + // + // Since we want to avoid overshooting we decrement by 1e10 so that + // floating-point imprecisions don't affect us. + // + // Explanation for v's boundary m+: the computation takes advantage of + // the fact that 2^(p-1) <= f < 2^p. Boundaries still satisfy this requirement + // (even for denormals where the delta can be much more important). + + const double k1Log10 = 0.30102999566398114; // 1/lg(10) + + // For doubles len(f) == 53 (don't forget the hidden bit). + const int kSignificandSize = Double::kSignificandSize; + double estimate = ceil((exponent + kSignificandSize - 1) * k1Log10 - 1e-10); + return static_cast(estimate); +} + + +// See comments for InitialScaledStartValues. +static void InitialScaledStartValuesPositiveExponent( + uint64_t significand, int exponent, + int estimated_power, bool need_boundary_deltas, + Bignum* numerator, Bignum* denominator, + Bignum* delta_minus, Bignum* delta_plus) { + // A positive exponent implies a positive power. + ASSERT(estimated_power >= 0); + // Since the estimated_power is positive we simply multiply the denominator + // by 10^estimated_power. + + // numerator = v. + numerator->AssignUInt64(significand); + numerator->ShiftLeft(exponent); + // denominator = 10^estimated_power. + denominator->AssignPowerUInt16(10, estimated_power); + + if (need_boundary_deltas) { + // Introduce a common denominator so that the deltas to the boundaries are + // integers. + denominator->ShiftLeft(1); + numerator->ShiftLeft(1); + // Let v = f * 2^e, then m+ - v = 1/2 * 2^e; With the common + // denominator (of 2) delta_plus equals 2^e. + delta_plus->AssignUInt16(1); + delta_plus->ShiftLeft(exponent); + // Same for delta_minus. The adjustments if f == 2^p-1 are done later. + delta_minus->AssignUInt16(1); + delta_minus->ShiftLeft(exponent); + } +} + + +// See comments for InitialScaledStartValues +static void InitialScaledStartValuesNegativeExponentPositivePower( + uint64_t significand, int exponent, + int estimated_power, bool need_boundary_deltas, + Bignum* numerator, Bignum* denominator, + Bignum* delta_minus, Bignum* delta_plus) { + // v = f * 2^e with e < 0, and with estimated_power >= 0. + // This means that e is close to 0 (have a look at how estimated_power is + // computed). + + // numerator = significand + // since v = significand * 2^exponent this is equivalent to + // numerator = v * / 2^-exponent + numerator->AssignUInt64(significand); + // denominator = 10^estimated_power * 2^-exponent (with exponent < 0) + denominator->AssignPowerUInt16(10, estimated_power); + denominator->ShiftLeft(-exponent); + + if (need_boundary_deltas) { + // Introduce a common denominator so that the deltas to the boundaries are + // integers. + denominator->ShiftLeft(1); + numerator->ShiftLeft(1); + // Let v = f * 2^e, then m+ - v = 1/2 * 2^e; With the common + // denominator (of 2) delta_plus equals 2^e. + // Given that the denominator already includes v's exponent the distance + // to the boundaries is simply 1. + delta_plus->AssignUInt16(1); + // Same for delta_minus. The adjustments if f == 2^p-1 are done later. + delta_minus->AssignUInt16(1); + } +} + + +// See comments for InitialScaledStartValues +static void InitialScaledStartValuesNegativeExponentNegativePower( + uint64_t significand, int exponent, + int estimated_power, bool need_boundary_deltas, + Bignum* numerator, Bignum* denominator, + Bignum* delta_minus, Bignum* delta_plus) { + // Instead of multiplying the denominator with 10^estimated_power we + // multiply all values (numerator and deltas) by 10^-estimated_power. + + // Use numerator as temporary container for power_ten. + Bignum* power_ten = numerator; + power_ten->AssignPowerUInt16(10, -estimated_power); + + if (need_boundary_deltas) { + // Since power_ten == numerator we must make a copy of 10^estimated_power + // before we complete the computation of the numerator. + // delta_plus = delta_minus = 10^estimated_power + delta_plus->AssignBignum(*power_ten); + delta_minus->AssignBignum(*power_ten); + } + + // numerator = significand * 2 * 10^-estimated_power + // since v = significand * 2^exponent this is equivalent to + // numerator = v * 10^-estimated_power * 2 * 2^-exponent. + // Remember: numerator has been abused as power_ten. So no need to assign it + // to itself. + ASSERT(numerator == power_ten); + numerator->MultiplyByUInt64(significand); + + // denominator = 2 * 2^-exponent with exponent < 0. + denominator->AssignUInt16(1); + denominator->ShiftLeft(-exponent); + + if (need_boundary_deltas) { + // Introduce a common denominator so that the deltas to the boundaries are + // integers. + numerator->ShiftLeft(1); + denominator->ShiftLeft(1); + // With this shift the boundaries have their correct value, since + // delta_plus = 10^-estimated_power, and + // delta_minus = 10^-estimated_power. + // These assignments have been done earlier. + // The adjustments if f == 2^p-1 (lower boundary is closer) are done later. + } +} + + +// Let v = significand * 2^exponent. +// Computes v / 10^estimated_power exactly, as a ratio of two bignums, numerator +// and denominator. The functions GenerateShortestDigits and +// GenerateCountedDigits will then convert this ratio to its decimal +// representation d, with the required accuracy. +// Then d * 10^estimated_power is the representation of v. +// (Note: the fraction and the estimated_power might get adjusted before +// generating the decimal representation.) +// +// The initial start values consist of: +// - a scaled numerator: s.t. numerator/denominator == v / 10^estimated_power. +// - a scaled (common) denominator. +// optionally (used by GenerateShortestDigits to decide if it has the shortest +// decimal converting back to v): +// - v - m-: the distance to the lower boundary. +// - m+ - v: the distance to the upper boundary. +// +// v, m+, m-, and therefore v - m- and m+ - v all share the same denominator. +// +// Let ep == estimated_power, then the returned values will satisfy: +// v / 10^ep = numerator / denominator. +// v's boundarys m- and m+: +// m- / 10^ep == v / 10^ep - delta_minus / denominator +// m+ / 10^ep == v / 10^ep + delta_plus / denominator +// Or in other words: +// m- == v - delta_minus * 10^ep / denominator; +// m+ == v + delta_plus * 10^ep / denominator; +// +// Since 10^(k-1) <= v < 10^k (with k == estimated_power) +// or 10^k <= v < 10^(k+1) +// we then have 0.1 <= numerator/denominator < 1 +// or 1 <= numerator/denominator < 10 +// +// It is then easy to kickstart the digit-generation routine. +// +// The boundary-deltas are only filled if the mode equals BIGNUM_DTOA_SHORTEST +// or BIGNUM_DTOA_SHORTEST_SINGLE. + +static void InitialScaledStartValues(uint64_t significand, + int exponent, + bool lower_boundary_is_closer, + int estimated_power, + bool need_boundary_deltas, + Bignum* numerator, + Bignum* denominator, + Bignum* delta_minus, + Bignum* delta_plus) { + if (exponent >= 0) { + InitialScaledStartValuesPositiveExponent( + significand, exponent, estimated_power, need_boundary_deltas, + numerator, denominator, delta_minus, delta_plus); + } else if (estimated_power >= 0) { + InitialScaledStartValuesNegativeExponentPositivePower( + significand, exponent, estimated_power, need_boundary_deltas, + numerator, denominator, delta_minus, delta_plus); + } else { + InitialScaledStartValuesNegativeExponentNegativePower( + significand, exponent, estimated_power, need_boundary_deltas, + numerator, denominator, delta_minus, delta_plus); + } + + if (need_boundary_deltas && lower_boundary_is_closer) { + // The lower boundary is closer at half the distance of "normal" numbers. + // Increase the common denominator and adapt all but the delta_minus. + denominator->ShiftLeft(1); // *2 + numerator->ShiftLeft(1); // *2 + delta_plus->ShiftLeft(1); // *2 + } +} + + +// This routine multiplies numerator/denominator so that its values lies in the +// range 1-10. That is after a call to this function we have: +// 1 <= (numerator + delta_plus) /denominator < 10. +// Let numerator the input before modification and numerator' the argument +// after modification, then the output-parameter decimal_point is such that +// numerator / denominator * 10^estimated_power == +// numerator' / denominator' * 10^(decimal_point - 1) +// In some cases estimated_power was too low, and this is already the case. We +// then simply adjust the power so that 10^(k-1) <= v < 10^k (with k == +// estimated_power) but do not touch the numerator or denominator. +// Otherwise the routine multiplies the numerator and the deltas by 10. +static void FixupMultiply10(int estimated_power, bool is_even, + int* decimal_point, + Bignum* numerator, Bignum* denominator, + Bignum* delta_minus, Bignum* delta_plus) { + bool in_range; + if (is_even) { + // For IEEE doubles half-way cases (in decimal system numbers ending with 5) + // are rounded to the closest floating-point number with even significand. + in_range = Bignum::PlusCompare(*numerator, *delta_plus, *denominator) >= 0; + } else { + in_range = Bignum::PlusCompare(*numerator, *delta_plus, *denominator) > 0; + } + if (in_range) { + // Since numerator + delta_plus >= denominator we already have + // 1 <= numerator/denominator < 10. Simply update the estimated_power. + *decimal_point = estimated_power + 1; + } else { + *decimal_point = estimated_power; + numerator->Times10(); + if (Bignum::Equal(*delta_minus, *delta_plus)) { + delta_minus->Times10(); + delta_plus->AssignBignum(*delta_minus); + } else { + delta_minus->Times10(); + delta_plus->Times10(); + } + } +} + +} // namespace double_conversion diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/bignum-dtoa.h julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/bignum-dtoa.h --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/bignum-dtoa.h 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/bignum-dtoa.h 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,84 @@ +// Copyright 2010 the V8 project authors. 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 Google Inc. 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. + +#ifndef DOUBLE_CONVERSION_BIGNUM_DTOA_H_ +#define DOUBLE_CONVERSION_BIGNUM_DTOA_H_ + +#include "utils.h" + +namespace double_conversion { + +enum BignumDtoaMode { + // Return the shortest correct representation. + // For example the output of 0.299999999999999988897 is (the less accurate but + // correct) 0.3. + BIGNUM_DTOA_SHORTEST, + // Same as BIGNUM_DTOA_SHORTEST but for single-precision floats. + BIGNUM_DTOA_SHORTEST_SINGLE, + // Return a fixed number of digits after the decimal point. + // For instance fixed(0.1, 4) becomes 0.1000 + // If the input number is big, the output will be big. + BIGNUM_DTOA_FIXED, + // Return a fixed number of digits, no matter what the exponent is. + BIGNUM_DTOA_PRECISION +}; + +// Converts the given double 'v' to ascii. +// The result should be interpreted as buffer * 10^(point-length). +// The buffer will be null-terminated. +// +// The input v must be > 0 and different from NaN, and Infinity. +// +// The output depends on the given mode: +// - SHORTEST: produce the least amount of digits for which the internal +// identity requirement is still satisfied. If the digits are printed +// (together with the correct exponent) then reading this number will give +// 'v' again. The buffer will choose the representation that is closest to +// 'v'. If there are two at the same distance, than the number is round up. +// In this mode the 'requested_digits' parameter is ignored. +// - FIXED: produces digits necessary to print a given number with +// 'requested_digits' digits after the decimal point. The produced digits +// might be too short in which case the caller has to fill the gaps with '0's. +// Example: toFixed(0.001, 5) is allowed to return buffer="1", point=-2. +// Halfway cases are rounded up. The call toFixed(0.15, 2) thus returns +// buffer="2", point=0. +// Note: the length of the returned buffer has no meaning wrt the significance +// of its digits. That is, just because it contains '0's does not mean that +// any other digit would not satisfy the internal identity requirement. +// - PRECISION: produces 'requested_digits' where the first digit is not '0'. +// Even though the length of produced digits usually equals +// 'requested_digits', the function is allowed to return fewer digits, in +// which case the caller has to fill the missing digits with '0's. +// Halfway cases are again rounded up. +// 'BignumDtoa' expects the given buffer to be big enough to hold all digits +// and a terminating null-character. +void BignumDtoa(double v, BignumDtoaMode mode, int requested_digits, + Vector buffer, int* length, int* point); + +} // namespace double_conversion + +#endif // DOUBLE_CONVERSION_BIGNUM_DTOA_H_ diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/bignum.h julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/bignum.h --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/bignum.h 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/bignum.h 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,145 @@ +// Copyright 2010 the V8 project authors. 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 Google Inc. 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. + +#ifndef DOUBLE_CONVERSION_BIGNUM_H_ +#define DOUBLE_CONVERSION_BIGNUM_H_ + +#include "utils.h" + +namespace double_conversion { + +class Bignum { + public: + // 3584 = 128 * 28. We can represent 2^3584 > 10^1000 accurately. + // This bignum can encode much bigger numbers, since it contains an + // exponent. + static const int kMaxSignificantBits = 3584; + + Bignum(); + void AssignUInt16(uint16_t value); + void AssignUInt64(uint64_t value); + void AssignBignum(const Bignum& other); + + void AssignDecimalString(Vector value); + void AssignHexString(Vector value); + + void AssignPowerUInt16(uint16_t base, int exponent); + + void AddUInt16(uint16_t operand); + void AddUInt64(uint64_t operand); + void AddBignum(const Bignum& other); + // Precondition: this >= other. + void SubtractBignum(const Bignum& other); + + void Square(); + void ShiftLeft(int shift_amount); + void MultiplyByUInt32(uint32_t factor); + void MultiplyByUInt64(uint64_t factor); + void MultiplyByPowerOfTen(int exponent); + void Times10() { return MultiplyByUInt32(10); } + // Pseudocode: + // int result = this / other; + // this = this % other; + // In the worst case this function is in O(this/other). + uint16_t DivideModuloIntBignum(const Bignum& other); + + bool ToHexString(char* buffer, int buffer_size) const; + + // Returns + // -1 if a < b, + // 0 if a == b, and + // +1 if a > b. + static int Compare(const Bignum& a, const Bignum& b); + static bool Equal(const Bignum& a, const Bignum& b) { + return Compare(a, b) == 0; + } + static bool LessEqual(const Bignum& a, const Bignum& b) { + return Compare(a, b) <= 0; + } + static bool Less(const Bignum& a, const Bignum& b) { + return Compare(a, b) < 0; + } + // Returns Compare(a + b, c); + static int PlusCompare(const Bignum& a, const Bignum& b, const Bignum& c); + // Returns a + b == c + static bool PlusEqual(const Bignum& a, const Bignum& b, const Bignum& c) { + return PlusCompare(a, b, c) == 0; + } + // Returns a + b <= c + static bool PlusLessEqual(const Bignum& a, const Bignum& b, const Bignum& c) { + return PlusCompare(a, b, c) <= 0; + } + // Returns a + b < c + static bool PlusLess(const Bignum& a, const Bignum& b, const Bignum& c) { + return PlusCompare(a, b, c) < 0; + } + private: + typedef uint32_t Chunk; + typedef uint64_t DoubleChunk; + + static const int kChunkSize = sizeof(Chunk) * 8; + static const int kDoubleChunkSize = sizeof(DoubleChunk) * 8; + // With bigit size of 28 we loose some bits, but a double still fits easily + // into two chunks, and more importantly we can use the Comba multiplication. + static const int kBigitSize = 28; + static const Chunk kBigitMask = (1 << kBigitSize) - 1; + // Every instance allocates kBigitLength chunks on the stack. Bignums cannot + // grow. There are no checks if the stack-allocated space is sufficient. + static const int kBigitCapacity = kMaxSignificantBits / kBigitSize; + + void EnsureCapacity(int size) { + if (size > kBigitCapacity) { + UNREACHABLE(); + } + } + void Align(const Bignum& other); + void Clamp(); + bool IsClamped() const; + void Zero(); + // Requires this to have enough capacity (no tests done). + // Updates used_digits_ if necessary. + // shift_amount must be < kBigitSize. + void BigitsShiftLeft(int shift_amount); + // BigitLength includes the "hidden" digits encoded in the exponent. + int BigitLength() const { return used_digits_ + exponent_; } + Chunk BigitAt(int index) const; + void SubtractTimes(const Bignum& other, int factor); + + Chunk bigits_buffer_[kBigitCapacity]; + // A vector backed by bigits_buffer_. This way accesses to the array are + // checked for out-of-bounds errors. + Vector bigits_; + int used_digits_; + // The Bignum's value equals value(bigits_) * 2^(exponent_ * kBigitSize). + int exponent_; + + DISALLOW_COPY_AND_ASSIGN(Bignum); +}; + +} // namespace double_conversion + +#endif // DOUBLE_CONVERSION_BIGNUM_H_ diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/cached-powers.cc julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/cached-powers.cc --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/cached-powers.cc 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/cached-powers.cc 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,175 @@ +// Copyright 2006-2008 the V8 project authors. 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 Google Inc. 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. + +#include +#include +#include + +#include "utils.h" + +#include "cached-powers.h" + +namespace double_conversion { + +struct CachedPower { + uint64_t significand; + int16_t binary_exponent; + int16_t decimal_exponent; +}; + +static const CachedPower kCachedPowers[] = { + {UINT64_2PART_C(0xfa8fd5a0, 081c0288), -1220, -348}, + {UINT64_2PART_C(0xbaaee17f, a23ebf76), -1193, -340}, + {UINT64_2PART_C(0x8b16fb20, 3055ac76), -1166, -332}, + {UINT64_2PART_C(0xcf42894a, 5dce35ea), -1140, -324}, + {UINT64_2PART_C(0x9a6bb0aa, 55653b2d), -1113, -316}, + {UINT64_2PART_C(0xe61acf03, 3d1a45df), -1087, -308}, + {UINT64_2PART_C(0xab70fe17, c79ac6ca), -1060, -300}, + {UINT64_2PART_C(0xff77b1fc, bebcdc4f), -1034, -292}, + {UINT64_2PART_C(0xbe5691ef, 416bd60c), -1007, -284}, + {UINT64_2PART_C(0x8dd01fad, 907ffc3c), -980, -276}, + {UINT64_2PART_C(0xd3515c28, 31559a83), -954, -268}, + {UINT64_2PART_C(0x9d71ac8f, ada6c9b5), -927, -260}, + {UINT64_2PART_C(0xea9c2277, 23ee8bcb), -901, -252}, + {UINT64_2PART_C(0xaecc4991, 4078536d), -874, -244}, + {UINT64_2PART_C(0x823c1279, 5db6ce57), -847, -236}, + {UINT64_2PART_C(0xc2109436, 4dfb5637), -821, -228}, + {UINT64_2PART_C(0x9096ea6f, 3848984f), -794, -220}, + {UINT64_2PART_C(0xd77485cb, 25823ac7), -768, -212}, + {UINT64_2PART_C(0xa086cfcd, 97bf97f4), -741, -204}, + {UINT64_2PART_C(0xef340a98, 172aace5), -715, -196}, + {UINT64_2PART_C(0xb23867fb, 2a35b28e), -688, -188}, + {UINT64_2PART_C(0x84c8d4df, d2c63f3b), -661, -180}, + {UINT64_2PART_C(0xc5dd4427, 1ad3cdba), -635, -172}, + {UINT64_2PART_C(0x936b9fce, bb25c996), -608, -164}, + {UINT64_2PART_C(0xdbac6c24, 7d62a584), -582, -156}, + {UINT64_2PART_C(0xa3ab6658, 0d5fdaf6), -555, -148}, + {UINT64_2PART_C(0xf3e2f893, dec3f126), -529, -140}, + {UINT64_2PART_C(0xb5b5ada8, aaff80b8), -502, -132}, + {UINT64_2PART_C(0x87625f05, 6c7c4a8b), -475, -124}, + {UINT64_2PART_C(0xc9bcff60, 34c13053), -449, -116}, + {UINT64_2PART_C(0x964e858c, 91ba2655), -422, -108}, + {UINT64_2PART_C(0xdff97724, 70297ebd), -396, -100}, + {UINT64_2PART_C(0xa6dfbd9f, b8e5b88f), -369, -92}, + {UINT64_2PART_C(0xf8a95fcf, 88747d94), -343, -84}, + {UINT64_2PART_C(0xb9447093, 8fa89bcf), -316, -76}, + {UINT64_2PART_C(0x8a08f0f8, bf0f156b), -289, -68}, + {UINT64_2PART_C(0xcdb02555, 653131b6), -263, -60}, + {UINT64_2PART_C(0x993fe2c6, d07b7fac), -236, -52}, + {UINT64_2PART_C(0xe45c10c4, 2a2b3b06), -210, -44}, + {UINT64_2PART_C(0xaa242499, 697392d3), -183, -36}, + {UINT64_2PART_C(0xfd87b5f2, 8300ca0e), -157, -28}, + {UINT64_2PART_C(0xbce50864, 92111aeb), -130, -20}, + {UINT64_2PART_C(0x8cbccc09, 6f5088cc), -103, -12}, + {UINT64_2PART_C(0xd1b71758, e219652c), -77, -4}, + {UINT64_2PART_C(0x9c400000, 00000000), -50, 4}, + {UINT64_2PART_C(0xe8d4a510, 00000000), -24, 12}, + {UINT64_2PART_C(0xad78ebc5, ac620000), 3, 20}, + {UINT64_2PART_C(0x813f3978, f8940984), 30, 28}, + {UINT64_2PART_C(0xc097ce7b, c90715b3), 56, 36}, + {UINT64_2PART_C(0x8f7e32ce, 7bea5c70), 83, 44}, + {UINT64_2PART_C(0xd5d238a4, abe98068), 109, 52}, + {UINT64_2PART_C(0x9f4f2726, 179a2245), 136, 60}, + {UINT64_2PART_C(0xed63a231, d4c4fb27), 162, 68}, + {UINT64_2PART_C(0xb0de6538, 8cc8ada8), 189, 76}, + {UINT64_2PART_C(0x83c7088e, 1aab65db), 216, 84}, + {UINT64_2PART_C(0xc45d1df9, 42711d9a), 242, 92}, + {UINT64_2PART_C(0x924d692c, a61be758), 269, 100}, + {UINT64_2PART_C(0xda01ee64, 1a708dea), 295, 108}, + {UINT64_2PART_C(0xa26da399, 9aef774a), 322, 116}, + {UINT64_2PART_C(0xf209787b, b47d6b85), 348, 124}, + {UINT64_2PART_C(0xb454e4a1, 79dd1877), 375, 132}, + {UINT64_2PART_C(0x865b8692, 5b9bc5c2), 402, 140}, + {UINT64_2PART_C(0xc83553c5, c8965d3d), 428, 148}, + {UINT64_2PART_C(0x952ab45c, fa97a0b3), 455, 156}, + {UINT64_2PART_C(0xde469fbd, 99a05fe3), 481, 164}, + {UINT64_2PART_C(0xa59bc234, db398c25), 508, 172}, + {UINT64_2PART_C(0xf6c69a72, a3989f5c), 534, 180}, + {UINT64_2PART_C(0xb7dcbf53, 54e9bece), 561, 188}, + {UINT64_2PART_C(0x88fcf317, f22241e2), 588, 196}, + {UINT64_2PART_C(0xcc20ce9b, d35c78a5), 614, 204}, + {UINT64_2PART_C(0x98165af3, 7b2153df), 641, 212}, + {UINT64_2PART_C(0xe2a0b5dc, 971f303a), 667, 220}, + {UINT64_2PART_C(0xa8d9d153, 5ce3b396), 694, 228}, + {UINT64_2PART_C(0xfb9b7cd9, a4a7443c), 720, 236}, + {UINT64_2PART_C(0xbb764c4c, a7a44410), 747, 244}, + {UINT64_2PART_C(0x8bab8eef, b6409c1a), 774, 252}, + {UINT64_2PART_C(0xd01fef10, a657842c), 800, 260}, + {UINT64_2PART_C(0x9b10a4e5, e9913129), 827, 268}, + {UINT64_2PART_C(0xe7109bfb, a19c0c9d), 853, 276}, + {UINT64_2PART_C(0xac2820d9, 623bf429), 880, 284}, + {UINT64_2PART_C(0x80444b5e, 7aa7cf85), 907, 292}, + {UINT64_2PART_C(0xbf21e440, 03acdd2d), 933, 300}, + {UINT64_2PART_C(0x8e679c2f, 5e44ff8f), 960, 308}, + {UINT64_2PART_C(0xd433179d, 9c8cb841), 986, 316}, + {UINT64_2PART_C(0x9e19db92, b4e31ba9), 1013, 324}, + {UINT64_2PART_C(0xeb96bf6e, badf77d9), 1039, 332}, + {UINT64_2PART_C(0xaf87023b, 9bf0ee6b), 1066, 340}, +}; + +static const int kCachedPowersLength = ARRAY_SIZE(kCachedPowers); +static const int kCachedPowersOffset = 348; // -1 * the first decimal_exponent. +static const double kD_1_LOG2_10 = 0.30102999566398114; // 1 / lg(10) +// Difference between the decimal exponents in the table above. +const int PowersOfTenCache::kDecimalExponentDistance = 8; +const int PowersOfTenCache::kMinDecimalExponent = -348; +const int PowersOfTenCache::kMaxDecimalExponent = 340; + +void PowersOfTenCache::GetCachedPowerForBinaryExponentRange( + int min_exponent, + int max_exponent, + DiyFp* power, + int* decimal_exponent) { + int kQ = DiyFp::kSignificandSize; + double k = ceil((min_exponent + kQ - 1) * kD_1_LOG2_10); + int foo = kCachedPowersOffset; + int index = + (foo + static_cast(k) - 1) / kDecimalExponentDistance + 1; + ASSERT(0 <= index && index < kCachedPowersLength); + CachedPower cached_power = kCachedPowers[index]; + ASSERT(min_exponent <= cached_power.binary_exponent); + ASSERT(cached_power.binary_exponent <= max_exponent); + *decimal_exponent = cached_power.decimal_exponent; + *power = DiyFp(cached_power.significand, cached_power.binary_exponent); +} + + +void PowersOfTenCache::GetCachedPowerForDecimalExponent(int requested_exponent, + DiyFp* power, + int* found_exponent) { + ASSERT(kMinDecimalExponent <= requested_exponent); + ASSERT(requested_exponent < kMaxDecimalExponent + kDecimalExponentDistance); + int index = + (requested_exponent + kCachedPowersOffset) / kDecimalExponentDistance; + CachedPower cached_power = kCachedPowers[index]; + *power = DiyFp(cached_power.significand, cached_power.binary_exponent); + *found_exponent = cached_power.decimal_exponent; + ASSERT(*found_exponent <= requested_exponent); + ASSERT(requested_exponent < *found_exponent + kDecimalExponentDistance); +} + +} // namespace double_conversion diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/cached-powers.h julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/cached-powers.h --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/cached-powers.h 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/cached-powers.h 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,64 @@ +// Copyright 2010 the V8 project authors. 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 Google Inc. 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. + +#ifndef DOUBLE_CONVERSION_CACHED_POWERS_H_ +#define DOUBLE_CONVERSION_CACHED_POWERS_H_ + +#include "diy-fp.h" + +namespace double_conversion { + +class PowersOfTenCache { + public: + + // Not all powers of ten are cached. The decimal exponent of two neighboring + // cached numbers will differ by kDecimalExponentDistance. + static const int kDecimalExponentDistance; + + static const int kMinDecimalExponent; + static const int kMaxDecimalExponent; + + // Returns a cached power-of-ten with a binary exponent in the range + // [min_exponent; max_exponent] (boundaries included). + static void GetCachedPowerForBinaryExponentRange(int min_exponent, + int max_exponent, + DiyFp* power, + int* decimal_exponent); + + // Returns a cached power of ten x ~= 10^k such that + // k <= decimal_exponent < k + kCachedPowersDecimalDistance. + // The given decimal_exponent must satisfy + // kMinDecimalExponent <= requested_exponent, and + // requested_exponent < kMaxDecimalExponent + kDecimalExponentDistance. + static void GetCachedPowerForDecimalExponent(int requested_exponent, + DiyFp* power, + int* found_exponent); +}; + +} // namespace double_conversion + +#endif // DOUBLE_CONVERSION_CACHED_POWERS_H_ diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/diy-fp.cc julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/diy-fp.cc --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/diy-fp.cc 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/diy-fp.cc 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,57 @@ +// Copyright 2010 the V8 project authors. 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 Google Inc. 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. + + +#include "diy-fp.h" +#include "utils.h" + +namespace double_conversion { + +void DiyFp::Multiply(const DiyFp& other) { + // Simply "emulates" a 128 bit multiplication. + // However: the resulting number only contains 64 bits. The least + // significant 64 bits are only used for rounding the most significant 64 + // bits. + const uint64_t kM32 = 0xFFFFFFFFU; + uint64_t a = f_ >> 32; + uint64_t b = f_ & kM32; + uint64_t c = other.f_ >> 32; + uint64_t d = other.f_ & kM32; + uint64_t ac = a * c; + uint64_t bc = b * c; + uint64_t ad = a * d; + uint64_t bd = b * d; + uint64_t tmp = (bd >> 32) + (ad & kM32) + (bc & kM32); + // By adding 1U << 31 to tmp we round the final result. + // Halfway cases will be round up. + tmp += 1U << 31; + uint64_t result_f = ac + (ad >> 32) + (bc >> 32) + (tmp >> 32); + e_ += other.e_ + 64; + f_ = result_f; +} + +} // namespace double_conversion diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/diy-fp.h julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/diy-fp.h --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/diy-fp.h 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/diy-fp.h 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,118 @@ +// Copyright 2010 the V8 project authors. 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 Google Inc. 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. + +#ifndef DOUBLE_CONVERSION_DIY_FP_H_ +#define DOUBLE_CONVERSION_DIY_FP_H_ + +#include "utils.h" + +namespace double_conversion { + +// This "Do It Yourself Floating Point" class implements a floating-point number +// with a uint64 significand and an int exponent. Normalized DiyFp numbers will +// have the most significant bit of the significand set. +// Multiplication and Subtraction do not normalize their results. +// DiyFp are not designed to contain special doubles (NaN and Infinity). +class DiyFp { + public: + static const int kSignificandSize = 64; + + DiyFp() : f_(0), e_(0) {} + DiyFp(uint64_t f, int e) : f_(f), e_(e) {} + + // this = this - other. + // The exponents of both numbers must be the same and the significand of this + // must be bigger than the significand of other. + // The result will not be normalized. + void Subtract(const DiyFp& other) { + ASSERT(e_ == other.e_); + ASSERT(f_ >= other.f_); + f_ -= other.f_; + } + + // Returns a - b. + // The exponents of both numbers must be the same and this must be bigger + // than other. The result will not be normalized. + static DiyFp Minus(const DiyFp& a, const DiyFp& b) { + DiyFp result = a; + result.Subtract(b); + return result; + } + + + // this = this * other. + void Multiply(const DiyFp& other); + + // returns a * b; + static DiyFp Times(const DiyFp& a, const DiyFp& b) { + DiyFp result = a; + result.Multiply(b); + return result; + } + + void Normalize() { + ASSERT(f_ != 0); + uint64_t f = f_; + int e = e_; + + // This method is mainly called for normalizing boundaries. In general + // boundaries need to be shifted by 10 bits. We thus optimize for this case. + const uint64_t k10MSBits = UINT64_2PART_C(0xFFC00000, 00000000); + while ((f & k10MSBits) == 0) { + f <<= 10; + e -= 10; + } + while ((f & kUint64MSB) == 0) { + f <<= 1; + e--; + } + f_ = f; + e_ = e; + } + + static DiyFp Normalize(const DiyFp& a) { + DiyFp result = a; + result.Normalize(); + return result; + } + + uint64_t f() const { return f_; } + int e() const { return e_; } + + void set_f(uint64_t new_value) { f_ = new_value; } + void set_e(int new_value) { e_ = new_value; } + + private: + static const uint64_t kUint64MSB = UINT64_2PART_C(0x80000000, 00000000); + + uint64_t f_; + int e_; +}; + +} // namespace double_conversion + +#endif // DOUBLE_CONVERSION_DIY_FP_H_ diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/double-conversion.cc julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/double-conversion.cc --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/double-conversion.cc 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/double-conversion.cc 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,889 @@ +// Copyright 2010 the V8 project authors. 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 Google Inc. 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. + +#include +#include + +#include "double-conversion.h" + +#include "bignum-dtoa.h" +#include "fast-dtoa.h" +#include "fixed-dtoa.h" +#include "ieee.h" +#include "strtod.h" +#include "utils.h" + +namespace double_conversion { + +const DoubleToStringConverter& DoubleToStringConverter::EcmaScriptConverter() { + int flags = UNIQUE_ZERO | EMIT_POSITIVE_EXPONENT_SIGN; + static DoubleToStringConverter converter(flags, + "Infinity", + "NaN", + 'e', + -6, 21, + 6, 0); + return converter; +} + + +bool DoubleToStringConverter::HandleSpecialValues( + double value, + StringBuilder* result_builder) const { + Double double_inspect(value); + if (double_inspect.IsInfinite()) { + if (infinity_symbol_ == NULL) return false; + if (value < 0) { + result_builder->AddCharacter('-'); + } + result_builder->AddString(infinity_symbol_); + return true; + } + if (double_inspect.IsNan()) { + if (nan_symbol_ == NULL) return false; + result_builder->AddString(nan_symbol_); + return true; + } + return false; +} + + +void DoubleToStringConverter::CreateExponentialRepresentation( + const char* decimal_digits, + int length, + int exponent, + StringBuilder* result_builder) const { + ASSERT(length != 0); + result_builder->AddCharacter(decimal_digits[0]); + if (length != 1) { + result_builder->AddCharacter('.'); + result_builder->AddSubstring(&decimal_digits[1], length-1); + } + result_builder->AddCharacter(exponent_character_); + if (exponent < 0) { + result_builder->AddCharacter('-'); + exponent = -exponent; + } else { + if ((flags_ & EMIT_POSITIVE_EXPONENT_SIGN) != 0) { + result_builder->AddCharacter('+'); + } + } + if (exponent == 0) { + result_builder->AddCharacter('0'); + return; + } + ASSERT(exponent < 1e4); + const int kMaxExponentLength = 5; + char buffer[kMaxExponentLength + 1]; + buffer[kMaxExponentLength] = '\0'; + int first_char_pos = kMaxExponentLength; + while (exponent > 0) { + buffer[--first_char_pos] = '0' + (exponent % 10); + exponent /= 10; + } + result_builder->AddSubstring(&buffer[first_char_pos], + kMaxExponentLength - first_char_pos); +} + + +void DoubleToStringConverter::CreateDecimalRepresentation( + const char* decimal_digits, + int length, + int decimal_point, + int digits_after_point, + StringBuilder* result_builder) const { + // Create a representation that is padded with zeros if needed. + if (decimal_point <= 0) { + // "0.00000decimal_rep". + result_builder->AddCharacter('0'); + if (digits_after_point > 0) { + result_builder->AddCharacter('.'); + result_builder->AddPadding('0', -decimal_point); + ASSERT(length <= digits_after_point - (-decimal_point)); + result_builder->AddSubstring(decimal_digits, length); + int remaining_digits = digits_after_point - (-decimal_point) - length; + result_builder->AddPadding('0', remaining_digits); + } + } else if (decimal_point >= length) { + // "decimal_rep0000.00000" or "decimal_rep.0000" + result_builder->AddSubstring(decimal_digits, length); + result_builder->AddPadding('0', decimal_point - length); + if (digits_after_point > 0) { + result_builder->AddCharacter('.'); + result_builder->AddPadding('0', digits_after_point); + } + } else { + // "decima.l_rep000" + ASSERT(digits_after_point > 0); + result_builder->AddSubstring(decimal_digits, decimal_point); + result_builder->AddCharacter('.'); + ASSERT(length - decimal_point <= digits_after_point); + result_builder->AddSubstring(&decimal_digits[decimal_point], + length - decimal_point); + int remaining_digits = digits_after_point - (length - decimal_point); + result_builder->AddPadding('0', remaining_digits); + } + if (digits_after_point == 0) { + if ((flags_ & EMIT_TRAILING_DECIMAL_POINT) != 0) { + result_builder->AddCharacter('.'); + } + if ((flags_ & EMIT_TRAILING_ZERO_AFTER_POINT) != 0) { + result_builder->AddCharacter('0'); + } + } +} + + +bool DoubleToStringConverter::ToShortestIeeeNumber( + double value, + StringBuilder* result_builder, + DoubleToStringConverter::DtoaMode mode) const { + ASSERT(mode == SHORTEST || mode == SHORTEST_SINGLE); + if (Double(value).IsSpecial()) { + return HandleSpecialValues(value, result_builder); + } + + int decimal_point; + bool sign; + const int kDecimalRepCapacity = kBase10MaximalLength + 1; + char decimal_rep[kDecimalRepCapacity]; + int decimal_rep_length; + + DoubleToAscii(value, mode, 0, decimal_rep, kDecimalRepCapacity, + &sign, &decimal_rep_length, &decimal_point); + + bool unique_zero = (flags_ & UNIQUE_ZERO) != 0; + if (sign && (value != 0.0 || !unique_zero)) { + result_builder->AddCharacter('-'); + } + + int exponent = decimal_point - 1; + if ((decimal_in_shortest_low_ <= exponent) && + (exponent < decimal_in_shortest_high_)) { + CreateDecimalRepresentation(decimal_rep, decimal_rep_length, + decimal_point, + Max(0, decimal_rep_length - decimal_point), + result_builder); + } else { + CreateExponentialRepresentation(decimal_rep, decimal_rep_length, exponent, + result_builder); + } + return true; +} + + +bool DoubleToStringConverter::ToFixed(double value, + int requested_digits, + StringBuilder* result_builder) const { + ASSERT(kMaxFixedDigitsBeforePoint == 60); + const double kFirstNonFixed = 1e60; + + if (Double(value).IsSpecial()) { + return HandleSpecialValues(value, result_builder); + } + + if (requested_digits > kMaxFixedDigitsAfterPoint) return false; + if (value >= kFirstNonFixed || value <= -kFirstNonFixed) return false; + + // Find a sufficiently precise decimal representation of n. + int decimal_point; + bool sign; + // Add space for the '\0' byte. + const int kDecimalRepCapacity = + kMaxFixedDigitsBeforePoint + kMaxFixedDigitsAfterPoint + 1; + char decimal_rep[kDecimalRepCapacity]; + int decimal_rep_length; + DoubleToAscii(value, FIXED, requested_digits, + decimal_rep, kDecimalRepCapacity, + &sign, &decimal_rep_length, &decimal_point); + + bool unique_zero = ((flags_ & UNIQUE_ZERO) != 0); + if (sign && (value != 0.0 || !unique_zero)) { + result_builder->AddCharacter('-'); + } + + CreateDecimalRepresentation(decimal_rep, decimal_rep_length, decimal_point, + requested_digits, result_builder); + return true; +} + + +bool DoubleToStringConverter::ToExponential( + double value, + int requested_digits, + StringBuilder* result_builder) const { + if (Double(value).IsSpecial()) { + return HandleSpecialValues(value, result_builder); + } + + if (requested_digits < -1) return false; + if (requested_digits > kMaxExponentialDigits) return false; + + int decimal_point; + bool sign; + // Add space for digit before the decimal point and the '\0' character. + const int kDecimalRepCapacity = kMaxExponentialDigits + 2; + ASSERT(kDecimalRepCapacity > kBase10MaximalLength); + char decimal_rep[kDecimalRepCapacity]; + int decimal_rep_length; + + if (requested_digits == -1) { + DoubleToAscii(value, SHORTEST, 0, + decimal_rep, kDecimalRepCapacity, + &sign, &decimal_rep_length, &decimal_point); + } else { + DoubleToAscii(value, PRECISION, requested_digits + 1, + decimal_rep, kDecimalRepCapacity, + &sign, &decimal_rep_length, &decimal_point); + ASSERT(decimal_rep_length <= requested_digits + 1); + + for (int i = decimal_rep_length; i < requested_digits + 1; ++i) { + decimal_rep[i] = '0'; + } + decimal_rep_length = requested_digits + 1; + } + + bool unique_zero = ((flags_ & UNIQUE_ZERO) != 0); + if (sign && (value != 0.0 || !unique_zero)) { + result_builder->AddCharacter('-'); + } + + int exponent = decimal_point - 1; + CreateExponentialRepresentation(decimal_rep, + decimal_rep_length, + exponent, + result_builder); + return true; +} + + +bool DoubleToStringConverter::ToPrecision(double value, + int precision, + StringBuilder* result_builder) const { + if (Double(value).IsSpecial()) { + return HandleSpecialValues(value, result_builder); + } + + if (precision < kMinPrecisionDigits || precision > kMaxPrecisionDigits) { + return false; + } + + // Find a sufficiently precise decimal representation of n. + int decimal_point; + bool sign; + // Add one for the terminating null character. + const int kDecimalRepCapacity = kMaxPrecisionDigits + 1; + char decimal_rep[kDecimalRepCapacity]; + int decimal_rep_length; + + DoubleToAscii(value, PRECISION, precision, + decimal_rep, kDecimalRepCapacity, + &sign, &decimal_rep_length, &decimal_point); + ASSERT(decimal_rep_length <= precision); + + bool unique_zero = ((flags_ & UNIQUE_ZERO) != 0); + if (sign && (value != 0.0 || !unique_zero)) { + result_builder->AddCharacter('-'); + } + + // The exponent if we print the number as x.xxeyyy. That is with the + // decimal point after the first digit. + int exponent = decimal_point - 1; + + int extra_zero = ((flags_ & EMIT_TRAILING_ZERO_AFTER_POINT) != 0) ? 1 : 0; + if ((-decimal_point + 1 > max_leading_padding_zeroes_in_precision_mode_) || + (decimal_point - precision + extra_zero > + max_trailing_padding_zeroes_in_precision_mode_)) { + // Fill buffer to contain 'precision' digits. + // Usually the buffer is already at the correct length, but 'DoubleToAscii' + // is allowed to return less characters. + for (int i = decimal_rep_length; i < precision; ++i) { + decimal_rep[i] = '0'; + } + + CreateExponentialRepresentation(decimal_rep, + precision, + exponent, + result_builder); + } else { + CreateDecimalRepresentation(decimal_rep, decimal_rep_length, decimal_point, + Max(0, precision - decimal_point), + result_builder); + } + return true; +} + + +static BignumDtoaMode DtoaToBignumDtoaMode( + DoubleToStringConverter::DtoaMode dtoa_mode) { + switch (dtoa_mode) { + case DoubleToStringConverter::SHORTEST: return BIGNUM_DTOA_SHORTEST; + case DoubleToStringConverter::SHORTEST_SINGLE: + return BIGNUM_DTOA_SHORTEST_SINGLE; + case DoubleToStringConverter::FIXED: return BIGNUM_DTOA_FIXED; + case DoubleToStringConverter::PRECISION: return BIGNUM_DTOA_PRECISION; + default: + UNREACHABLE(); + return BIGNUM_DTOA_SHORTEST; // To silence compiler. + } +} + + +void DoubleToStringConverter::DoubleToAscii(double v, + DtoaMode mode, + int requested_digits, + char* buffer, + int buffer_length, + bool* sign, + int* length, + int* point) { + Vector vector(buffer, buffer_length); + ASSERT(!Double(v).IsSpecial()); + ASSERT(mode == SHORTEST || mode == SHORTEST_SINGLE || requested_digits >= 0); + + if (Double(v).Sign() < 0) { + *sign = true; + v = -v; + } else { + *sign = false; + } + + if (mode == PRECISION && requested_digits == 0) { + vector[0] = '\0'; + *length = 0; + return; + } + + if (v == 0) { + vector[0] = '0'; + vector[1] = '\0'; + *length = 1; + *point = 1; + return; + } + + bool fast_worked; + switch (mode) { + case SHORTEST: + fast_worked = FastDtoa(v, FAST_DTOA_SHORTEST, 0, vector, length, point); + break; + case SHORTEST_SINGLE: + fast_worked = FastDtoa(v, FAST_DTOA_SHORTEST_SINGLE, 0, + vector, length, point); + break; + case FIXED: + fast_worked = FastFixedDtoa(v, requested_digits, vector, length, point); + break; + case PRECISION: + fast_worked = FastDtoa(v, FAST_DTOA_PRECISION, requested_digits, + vector, length, point); + break; + default: + UNREACHABLE(); + fast_worked = false; + } + if (fast_worked) return; + + // If the fast dtoa didn't succeed use the slower bignum version. + BignumDtoaMode bignum_mode = DtoaToBignumDtoaMode(mode); + BignumDtoa(v, bignum_mode, requested_digits, vector, length, point); + vector[*length] = '\0'; +} + + +// Consumes the given substring from the iterator. +// Returns false, if the substring does not match. +static bool ConsumeSubString(const char** current, + const char* end, + const char* substring) { + ASSERT(**current == *substring); + for (substring++; *substring != '\0'; substring++) { + ++*current; + if (*current == end || **current != *substring) return false; + } + ++*current; + return true; +} + + +// Maximum number of significant digits in decimal representation. +// The longest possible double in decimal representation is +// (2^53 - 1) * 2 ^ -1074 that is (2 ^ 53 - 1) * 5 ^ 1074 / 10 ^ 1074 +// (768 digits). If we parse a number whose first digits are equal to a +// mean of 2 adjacent doubles (that could have up to 769 digits) the result +// must be rounded to the bigger one unless the tail consists of zeros, so +// we don't need to preserve all the digits. +const int kMaxSignificantDigits = 772; + + +// Returns true if a nonspace found and false if the end has reached. +static inline bool AdvanceToNonspace(const char** current, const char* end) { + while (*current != end) { + if (**current != ' ') return true; + ++*current; + } + return false; +} + + +static bool isDigit(int x, int radix) { + return (x >= '0' && x <= '9' && x < '0' + radix) + || (radix > 10 && x >= 'a' && x < 'a' + radix - 10) + || (radix > 10 && x >= 'A' && x < 'A' + radix - 10); +} + + +static double SignedZero(bool sign) { + return sign ? -0.0 : 0.0; +} + + +// Parsing integers with radix 2, 4, 8, 16, 32. Assumes current != end. +template +static double RadixStringToIeee(const char* current, + const char* end, + bool sign, + bool allow_trailing_junk, + double junk_string_value, + bool read_as_double, + const char** trailing_pointer) { + ASSERT(current != end); + + const int kDoubleSize = Double::kSignificandSize; + const int kSingleSize = Single::kSignificandSize; + const int kSignificandSize = read_as_double? kDoubleSize: kSingleSize; + + // Skip leading 0s. + while (*current == '0') { + ++current; + if (current == end) { + *trailing_pointer = end; + return SignedZero(sign); + } + } + + int64_t number = 0; + int exponent = 0; + const int radix = (1 << radix_log_2); + + do { + int digit; + if (*current >= '0' && *current <= '9' && *current < '0' + radix) { + digit = static_cast(*current) - '0'; + } else if (radix > 10 && *current >= 'a' && *current < 'a' + radix - 10) { + digit = static_cast(*current) - 'a' + 10; + } else if (radix > 10 && *current >= 'A' && *current < 'A' + radix - 10) { + digit = static_cast(*current) - 'A' + 10; + } else { + if (allow_trailing_junk || !AdvanceToNonspace(¤t, end)) { + break; + } else { + return junk_string_value; + } + } + + number = number * radix + digit; + int overflow = static_cast(number >> kSignificandSize); + if (overflow != 0) { + // Overflow occurred. Need to determine which direction to round the + // result. + int overflow_bits_count = 1; + while (overflow > 1) { + overflow_bits_count++; + overflow >>= 1; + } + + int dropped_bits_mask = ((1 << overflow_bits_count) - 1); + int dropped_bits = static_cast(number) & dropped_bits_mask; + number >>= overflow_bits_count; + exponent = overflow_bits_count; + + bool zero_tail = true; + while (true) { + ++current; + if (current == end || !isDigit(*current, radix)) break; + zero_tail = zero_tail && *current == '0'; + exponent += radix_log_2; + } + + if (!allow_trailing_junk && AdvanceToNonspace(¤t, end)) { + return junk_string_value; + } + + int middle_value = (1 << (overflow_bits_count - 1)); + if (dropped_bits > middle_value) { + number++; // Rounding up. + } else if (dropped_bits == middle_value) { + // Rounding to even to consistency with decimals: half-way case rounds + // up if significant part is odd and down otherwise. + if ((number & 1) != 0 || !zero_tail) { + number++; // Rounding up. + } + } + + // Rounding up may cause overflow. + if ((number & ((int64_t)1 << kSignificandSize)) != 0) { + exponent++; + number >>= 1; + } + break; + } + ++current; + } while (current != end); + + ASSERT(number < ((int64_t)1 << kSignificandSize)); + ASSERT(static_cast(static_cast(number)) == number); + + *trailing_pointer = current; + + if (exponent == 0) { + if (sign) { + if (number == 0) return -0.0; + number = -number; + } + return static_cast(number); + } + + ASSERT(number != 0); + return Double(DiyFp(number, exponent)).value(); +} + + +double StringToDoubleConverter::StringToIeee( + const char* input, + int length, + int* processed_characters_count, + bool read_as_double) { + const char* current = input; + const char* end = input + length; + + *processed_characters_count = 0; + + const bool allow_trailing_junk = (flags_ & ALLOW_TRAILING_JUNK) != 0; + const bool allow_leading_spaces = (flags_ & ALLOW_LEADING_SPACES) != 0; + const bool allow_trailing_spaces = (flags_ & ALLOW_TRAILING_SPACES) != 0; + const bool allow_spaces_after_sign = (flags_ & ALLOW_SPACES_AFTER_SIGN) != 0; + + // To make sure that iterator dereferencing is valid the following + // convention is used: + // 1. Each '++current' statement is followed by check for equality to 'end'. + // 2. If AdvanceToNonspace returned false then current == end. + // 3. If 'current' becomes equal to 'end' the function returns or goes to + // 'parsing_done'. + // 4. 'current' is not dereferenced after the 'parsing_done' label. + // 5. Code before 'parsing_done' may rely on 'current != end'. + if (current == end) return empty_string_value_; + + if (allow_leading_spaces || allow_trailing_spaces) { + if (!AdvanceToNonspace(¤t, end)) { + *processed_characters_count = current - input; + return empty_string_value_; + } + if (!allow_leading_spaces && (input != current)) { + // No leading spaces allowed, but AdvanceToNonspace moved forward. + return junk_string_value_; + } + } + + // The longest form of simplified number is: "-.1eXXX\0". + const int kBufferSize = kMaxSignificantDigits + 10; + char buffer[kBufferSize]; // NOLINT: size is known at compile time. + int buffer_pos = 0; + + // Exponent will be adjusted if insignificant digits of the integer part + // or insignificant leading zeros of the fractional part are dropped. + int exponent = 0; + int significant_digits = 0; + int insignificant_digits = 0; + bool nonzero_digit_dropped = false; + + bool sign = false; + + if (*current == '+' || *current == '-') { + sign = (*current == '-'); + ++current; + const char* next_non_space = current; + // Skip following spaces (if allowed). + if (!AdvanceToNonspace(&next_non_space, end)) return junk_string_value_; + if (!allow_spaces_after_sign && (current != next_non_space)) { + return junk_string_value_; + } + current = next_non_space; + } + + if (infinity_symbol_ != NULL) { + if (*current == infinity_symbol_[0]) { + if (!ConsumeSubString(¤t, end, infinity_symbol_)) { + return junk_string_value_; + } + + if (!(allow_trailing_spaces || allow_trailing_junk) && (current != end)) { + return junk_string_value_; + } + if (!allow_trailing_junk && AdvanceToNonspace(¤t, end)) { + return junk_string_value_; + } + + ASSERT(buffer_pos == 0); + *processed_characters_count = current - input; + return sign ? -Double::Infinity() : Double::Infinity(); + } + } + + if (nan_symbol_ != NULL) { + if (*current == nan_symbol_[0]) { + if (!ConsumeSubString(¤t, end, nan_symbol_)) { + return junk_string_value_; + } + + if (!(allow_trailing_spaces || allow_trailing_junk) && (current != end)) { + return junk_string_value_; + } + if (!allow_trailing_junk && AdvanceToNonspace(¤t, end)) { + return junk_string_value_; + } + + ASSERT(buffer_pos == 0); + *processed_characters_count = current - input; + return sign ? -Double::NaN() : Double::NaN(); + } + } + + bool leading_zero = false; + if (*current == '0') { + ++current; + if (current == end) { + *processed_characters_count = current - input; + return SignedZero(sign); + } + + leading_zero = true; + + // It could be hexadecimal value. + if ((flags_ & ALLOW_HEX) && (*current == 'x' || *current == 'X')) { + ++current; + if (current == end || !isDigit(*current, 16)) { + return junk_string_value_; // "0x". + } + + const char* tail_pointer = NULL; + double result = RadixStringToIeee<4>(current, + end, + sign, + allow_trailing_junk, + junk_string_value_, + read_as_double, + &tail_pointer); + if (tail_pointer != NULL) { + if (allow_trailing_spaces) AdvanceToNonspace(&tail_pointer, end); + *processed_characters_count = tail_pointer - input; + } + return result; + } + + // Ignore leading zeros in the integer part. + while (*current == '0') { + ++current; + if (current == end) { + *processed_characters_count = current - input; + return SignedZero(sign); + } + } + } + + bool octal = leading_zero && (flags_ & ALLOW_OCTALS) != 0; + + // Copy significant digits of the integer part (if any) to the buffer. + while (*current >= '0' && *current <= '9') { + if (significant_digits < kMaxSignificantDigits) { + ASSERT(buffer_pos < kBufferSize); + buffer[buffer_pos++] = static_cast(*current); + significant_digits++; + // Will later check if it's an octal in the buffer. + } else { + insignificant_digits++; // Move the digit into the exponential part. + nonzero_digit_dropped = nonzero_digit_dropped || *current != '0'; + } + octal = octal && *current < '8'; + ++current; + if (current == end) goto parsing_done; + } + + if (significant_digits == 0) { + octal = false; + } + + if (*current == '.') { + if (octal && !allow_trailing_junk) return junk_string_value_; + if (octal) goto parsing_done; + + ++current; + if (current == end) { + if (significant_digits == 0 && !leading_zero) { + return junk_string_value_; + } else { + goto parsing_done; + } + } + + if (significant_digits == 0) { + // octal = false; + // Integer part consists of 0 or is absent. Significant digits start after + // leading zeros (if any). + while (*current == '0') { + ++current; + if (current == end) { + *processed_characters_count = current - input; + return SignedZero(sign); + } + exponent--; // Move this 0 into the exponent. + } + } + + // There is a fractional part. + // We don't emit a '.', but adjust the exponent instead. + while (*current >= '0' && *current <= '9') { + if (significant_digits < kMaxSignificantDigits) { + ASSERT(buffer_pos < kBufferSize); + buffer[buffer_pos++] = static_cast(*current); + significant_digits++; + exponent--; + } else { + // Ignore insignificant digits in the fractional part. + nonzero_digit_dropped = nonzero_digit_dropped || *current != '0'; + } + ++current; + if (current == end) goto parsing_done; + } + } + + if (!leading_zero && exponent == 0 && significant_digits == 0) { + // If leading_zeros is true then the string contains zeros. + // If exponent < 0 then string was [+-]\.0*... + // If significant_digits != 0 the string is not equal to 0. + // Otherwise there are no digits in the string. + return junk_string_value_; + } + + // Parse exponential part. + if (*current == 'e' || *current == 'E') { + if (octal && !allow_trailing_junk) return junk_string_value_; + if (octal) goto parsing_done; + ++current; + if (current == end) { + if (allow_trailing_junk) { + goto parsing_done; + } else { + return junk_string_value_; + } + } + char sign = '+'; + if (*current == '+' || *current == '-') { + sign = static_cast(*current); + ++current; + if (current == end) { + if (allow_trailing_junk) { + goto parsing_done; + } else { + return junk_string_value_; + } + } + } + + if (current == end || *current < '0' || *current > '9') { + if (allow_trailing_junk) { + goto parsing_done; + } else { + return junk_string_value_; + } + } + + const int max_exponent = INT_MAX / 2; + ASSERT(-max_exponent / 2 <= exponent && exponent <= max_exponent / 2); + int num = 0; + do { + // Check overflow. + int digit = *current - '0'; + if (num >= max_exponent / 10 + && !(num == max_exponent / 10 && digit <= max_exponent % 10)) { + num = max_exponent; + } else { + num = num * 10 + digit; + } + ++current; + } while (current != end && *current >= '0' && *current <= '9'); + + exponent += (sign == '-' ? -num : num); + } + + if (!(allow_trailing_spaces || allow_trailing_junk) && (current != end)) { + return junk_string_value_; + } + if (!allow_trailing_junk && AdvanceToNonspace(¤t, end)) { + return junk_string_value_; + } + if (allow_trailing_spaces) { + AdvanceToNonspace(¤t, end); + } + + parsing_done: + exponent += insignificant_digits; + + if (octal) { + double result; + const char* tail_pointer = NULL; + result = RadixStringToIeee<3>(buffer, + buffer + buffer_pos, + sign, + allow_trailing_junk, + junk_string_value_, + read_as_double, + &tail_pointer); + ASSERT(tail_pointer != NULL); + *processed_characters_count = current - input; + return result; + } + + if (nonzero_digit_dropped) { + buffer[buffer_pos++] = '1'; + exponent--; + } + + ASSERT(buffer_pos < kBufferSize); + buffer[buffer_pos] = '\0'; + + double converted; + if (read_as_double) { + converted = Strtod(Vector(buffer, buffer_pos), exponent); + } else { + converted = Strtof(Vector(buffer, buffer_pos), exponent); + } + *processed_characters_count = current - input; + return sign? -converted: converted; +} + +} // namespace double_conversion diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/double-conversion.h julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/double-conversion.h --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/double-conversion.h 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/double-conversion.h 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,536 @@ +// Copyright 2012 the V8 project authors. 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 Google Inc. 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. + +#ifndef DOUBLE_CONVERSION_DOUBLE_CONVERSION_H_ +#define DOUBLE_CONVERSION_DOUBLE_CONVERSION_H_ + +#include "utils.h" + +namespace double_conversion { + +class DoubleToStringConverter { + public: + // When calling ToFixed with a double > 10^kMaxFixedDigitsBeforePoint + // or a requested_digits parameter > kMaxFixedDigitsAfterPoint then the + // function returns false. + static const int kMaxFixedDigitsBeforePoint = 60; + static const int kMaxFixedDigitsAfterPoint = 60; + + // When calling ToExponential with a requested_digits + // parameter > kMaxExponentialDigits then the function returns false. + static const int kMaxExponentialDigits = 120; + + // When calling ToPrecision with a requested_digits + // parameter < kMinPrecisionDigits or requested_digits > kMaxPrecisionDigits + // then the function returns false. + static const int kMinPrecisionDigits = 1; + static const int kMaxPrecisionDigits = 120; + + enum Flags { + NO_FLAGS = 0, + EMIT_POSITIVE_EXPONENT_SIGN = 1, + EMIT_TRAILING_DECIMAL_POINT = 2, + EMIT_TRAILING_ZERO_AFTER_POINT = 4, + UNIQUE_ZERO = 8 + }; + + // Flags should be a bit-or combination of the possible Flags-enum. + // - NO_FLAGS: no special flags. + // - EMIT_POSITIVE_EXPONENT_SIGN: when the number is converted into exponent + // form, emits a '+' for positive exponents. Example: 1.2e+2. + // - EMIT_TRAILING_DECIMAL_POINT: when the input number is an integer and is + // converted into decimal format then a trailing decimal point is appended. + // Example: 2345.0 is converted to "2345.". + // - EMIT_TRAILING_ZERO_AFTER_POINT: in addition to a trailing decimal point + // emits a trailing '0'-character. This flag requires the + // EXMIT_TRAILING_DECIMAL_POINT flag. + // Example: 2345.0 is converted to "2345.0". + // - UNIQUE_ZERO: "-0.0" is converted to "0.0". + // + // Infinity symbol and nan_symbol provide the string representation for these + // special values. If the string is NULL and the special value is encountered + // then the conversion functions return false. + // + // The exponent_character is used in exponential representations. It is + // usually 'e' or 'E'. + // + // When converting to the shortest representation the converter will + // represent input numbers in decimal format if they are in the interval + // [10^decimal_in_shortest_low; 10^decimal_in_shortest_high[ + // (lower boundary included, greater boundary excluded). + // Example: with decimal_in_shortest_low = -6 and + // decimal_in_shortest_high = 21: + // ToShortest(0.000001) -> "0.000001" + // ToShortest(0.0000001) -> "1e-7" + // ToShortest(111111111111111111111.0) -> "111111111111111110000" + // ToShortest(100000000000000000000.0) -> "100000000000000000000" + // ToShortest(1111111111111111111111.0) -> "1.1111111111111111e+21" + // + // When converting to precision mode the converter may add + // max_leading_padding_zeroes before returning the number in exponential + // format. + // Example with max_leading_padding_zeroes_in_precision_mode = 6. + // ToPrecision(0.0000012345, 2) -> "0.0000012" + // ToPrecision(0.00000012345, 2) -> "1.2e-7" + // Similarily the converter may add up to + // max_trailing_padding_zeroes_in_precision_mode in precision mode to avoid + // returning an exponential representation. A zero added by the + // EMIT_TRAILING_ZERO_AFTER_POINT flag is counted for this limit. + // Examples for max_trailing_padding_zeroes_in_precision_mode = 1: + // ToPrecision(230.0, 2) -> "230" + // ToPrecision(230.0, 2) -> "230." with EMIT_TRAILING_DECIMAL_POINT. + // ToPrecision(230.0, 2) -> "2.3e2" with EMIT_TRAILING_ZERO_AFTER_POINT. + DoubleToStringConverter(int flags, + const char* infinity_symbol, + const char* nan_symbol, + char exponent_character, + int decimal_in_shortest_low, + int decimal_in_shortest_high, + int max_leading_padding_zeroes_in_precision_mode, + int max_trailing_padding_zeroes_in_precision_mode) + : flags_(flags), + infinity_symbol_(infinity_symbol), + nan_symbol_(nan_symbol), + exponent_character_(exponent_character), + decimal_in_shortest_low_(decimal_in_shortest_low), + decimal_in_shortest_high_(decimal_in_shortest_high), + max_leading_padding_zeroes_in_precision_mode_( + max_leading_padding_zeroes_in_precision_mode), + max_trailing_padding_zeroes_in_precision_mode_( + max_trailing_padding_zeroes_in_precision_mode) { + // When 'trailing zero after the point' is set, then 'trailing point' + // must be set too. + ASSERT(((flags & EMIT_TRAILING_DECIMAL_POINT) != 0) || + !((flags & EMIT_TRAILING_ZERO_AFTER_POINT) != 0)); + } + + // Returns a converter following the EcmaScript specification. + static const DoubleToStringConverter& EcmaScriptConverter(); + + // Computes the shortest string of digits that correctly represent the input + // number. Depending on decimal_in_shortest_low and decimal_in_shortest_high + // (see constructor) it then either returns a decimal representation, or an + // exponential representation. + // Example with decimal_in_shortest_low = -6, + // decimal_in_shortest_high = 21, + // EMIT_POSITIVE_EXPONENT_SIGN activated, and + // EMIT_TRAILING_DECIMAL_POINT deactived: + // ToShortest(0.000001) -> "0.000001" + // ToShortest(0.0000001) -> "1e-7" + // ToShortest(111111111111111111111.0) -> "111111111111111110000" + // ToShortest(100000000000000000000.0) -> "100000000000000000000" + // ToShortest(1111111111111111111111.0) -> "1.1111111111111111e+21" + // + // Note: the conversion may round the output if the returned string + // is accurate enough to uniquely identify the input-number. + // For example the most precise representation of the double 9e59 equals + // "899999999999999918767229449717619953810131273674690656206848", but + // the converter will return the shorter (but still correct) "9e59". + // + // Returns true if the conversion succeeds. The conversion always succeeds + // except when the input value is special and no infinity_symbol or + // nan_symbol has been given to the constructor. + bool ToShortest(double value, StringBuilder* result_builder) const { + return ToShortestIeeeNumber(value, result_builder, SHORTEST); + } + + // Same as ToShortest, but for single-precision floats. + bool ToShortestSingle(float value, StringBuilder* result_builder) const { + return ToShortestIeeeNumber(value, result_builder, SHORTEST_SINGLE); + } + + + // Computes a decimal representation with a fixed number of digits after the + // decimal point. The last emitted digit is rounded. + // + // Examples: + // ToFixed(3.12, 1) -> "3.1" + // ToFixed(3.1415, 3) -> "3.142" + // ToFixed(1234.56789, 4) -> "1234.5679" + // ToFixed(1.23, 5) -> "1.23000" + // ToFixed(0.1, 4) -> "0.1000" + // ToFixed(1e30, 2) -> "1000000000000000019884624838656.00" + // ToFixed(0.1, 30) -> "0.100000000000000005551115123126" + // ToFixed(0.1, 17) -> "0.10000000000000001" + // + // If requested_digits equals 0, then the tail of the result depends on + // the EMIT_TRAILING_DECIMAL_POINT and EMIT_TRAILING_ZERO_AFTER_POINT. + // Examples, for requested_digits == 0, + // let EMIT_TRAILING_DECIMAL_POINT and EMIT_TRAILING_ZERO_AFTER_POINT be + // - false and false: then 123.45 -> 123 + // 0.678 -> 1 + // - true and false: then 123.45 -> 123. + // 0.678 -> 1. + // - true and true: then 123.45 -> 123.0 + // 0.678 -> 1.0 + // + // Returns true if the conversion succeeds. The conversion always succeeds + // except for the following cases: + // - the input value is special and no infinity_symbol or nan_symbol has + // been provided to the constructor, + // - 'value' > 10^kMaxFixedDigitsBeforePoint, or + // - 'requested_digits' > kMaxFixedDigitsAfterPoint. + // The last two conditions imply that the result will never contain more than + // 1 + kMaxFixedDigitsBeforePoint + 1 + kMaxFixedDigitsAfterPoint characters + // (one additional character for the sign, and one for the decimal point). + bool ToFixed(double value, + int requested_digits, + StringBuilder* result_builder) const; + + // Computes a representation in exponential format with requested_digits + // after the decimal point. The last emitted digit is rounded. + // If requested_digits equals -1, then the shortest exponential representation + // is computed. + // + // Examples with EMIT_POSITIVE_EXPONENT_SIGN deactivated, and + // exponent_character set to 'e'. + // ToExponential(3.12, 1) -> "3.1e0" + // ToExponential(5.0, 3) -> "5.000e0" + // ToExponential(0.001, 2) -> "1.00e-3" + // ToExponential(3.1415, -1) -> "3.1415e0" + // ToExponential(3.1415, 4) -> "3.1415e0" + // ToExponential(3.1415, 3) -> "3.142e0" + // ToExponential(123456789000000, 3) -> "1.235e14" + // ToExponential(1000000000000000019884624838656.0, -1) -> "1e30" + // ToExponential(1000000000000000019884624838656.0, 32) -> + // "1.00000000000000001988462483865600e30" + // ToExponential(1234, 0) -> "1e3" + // + // Returns true if the conversion succeeds. The conversion always succeeds + // except for the following cases: + // - the input value is special and no infinity_symbol or nan_symbol has + // been provided to the constructor, + // - 'requested_digits' > kMaxExponentialDigits. + // The last condition implies that the result will never contain more than + // kMaxExponentialDigits + 8 characters (the sign, the digit before the + // decimal point, the decimal point, the exponent character, the + // exponent's sign, and at most 3 exponent digits). + bool ToExponential(double value, + int requested_digits, + StringBuilder* result_builder) const; + + // Computes 'precision' leading digits of the given 'value' and returns them + // either in exponential or decimal format, depending on + // max_{leading|trailing}_padding_zeroes_in_precision_mode (given to the + // constructor). + // The last computed digit is rounded. + // + // Example with max_leading_padding_zeroes_in_precision_mode = 6. + // ToPrecision(0.0000012345, 2) -> "0.0000012" + // ToPrecision(0.00000012345, 2) -> "1.2e-7" + // Similarily the converter may add up to + // max_trailing_padding_zeroes_in_precision_mode in precision mode to avoid + // returning an exponential representation. A zero added by the + // EMIT_TRAILING_ZERO_AFTER_POINT flag is counted for this limit. + // Examples for max_trailing_padding_zeroes_in_precision_mode = 1: + // ToPrecision(230.0, 2) -> "230" + // ToPrecision(230.0, 2) -> "230." with EMIT_TRAILING_DECIMAL_POINT. + // ToPrecision(230.0, 2) -> "2.3e2" with EMIT_TRAILING_ZERO_AFTER_POINT. + // Examples for max_trailing_padding_zeroes_in_precision_mode = 3, and no + // EMIT_TRAILING_ZERO_AFTER_POINT: + // ToPrecision(123450.0, 6) -> "123450" + // ToPrecision(123450.0, 5) -> "123450" + // ToPrecision(123450.0, 4) -> "123500" + // ToPrecision(123450.0, 3) -> "123000" + // ToPrecision(123450.0, 2) -> "1.2e5" + // + // Returns true if the conversion succeeds. The conversion always succeeds + // except for the following cases: + // - the input value is special and no infinity_symbol or nan_symbol has + // been provided to the constructor, + // - precision < kMinPericisionDigits + // - precision > kMaxPrecisionDigits + // The last condition implies that the result will never contain more than + // kMaxPrecisionDigits + 7 characters (the sign, the decimal point, the + // exponent character, the exponent's sign, and at most 3 exponent digits). + bool ToPrecision(double value, + int precision, + StringBuilder* result_builder) const; + + enum DtoaMode { + // Produce the shortest correct representation. + // For example the output of 0.299999999999999988897 is (the less accurate + // but correct) 0.3. + SHORTEST, + // Same as SHORTEST, but for single-precision floats. + SHORTEST_SINGLE, + // Produce a fixed number of digits after the decimal point. + // For instance fixed(0.1, 4) becomes 0.1000 + // If the input number is big, the output will be big. + FIXED, + // Fixed number of digits (independent of the decimal point). + PRECISION + }; + + // The maximal number of digits that are needed to emit a double in base 10. + // A higher precision can be achieved by using more digits, but the shortest + // accurate representation of any double will never use more digits than + // kBase10MaximalLength. + // Note that DoubleToAscii null-terminates its input. So the given buffer + // should be at least kBase10MaximalLength + 1 characters long. + static const int kBase10MaximalLength = 17; + + // Converts the given double 'v' to ascii. 'v' must not be NaN, +Infinity, or + // -Infinity. In SHORTEST_SINGLE-mode this restriction also applies to 'v' + // after it has been casted to a single-precision float. That is, in this + // mode static_cast(v) must not be NaN, +Infinity or -Infinity. + // + // The result should be interpreted as buffer * 10^(point-length). + // + // The output depends on the given mode: + // - SHORTEST: produce the least amount of digits for which the internal + // identity requirement is still satisfied. If the digits are printed + // (together with the correct exponent) then reading this number will give + // 'v' again. The buffer will choose the representation that is closest to + // 'v'. If there are two at the same distance, than the one farther away + // from 0 is chosen (halfway cases - ending with 5 - are rounded up). + // In this mode the 'requested_digits' parameter is ignored. + // - SHORTEST_SINGLE: same as SHORTEST but with single-precision. + // - FIXED: produces digits necessary to print a given number with + // 'requested_digits' digits after the decimal point. The produced digits + // might be too short in which case the caller has to fill the remainder + // with '0's. + // Example: toFixed(0.001, 5) is allowed to return buffer="1", point=-2. + // Halfway cases are rounded towards +/-Infinity (away from 0). The call + // toFixed(0.15, 2) thus returns buffer="2", point=0. + // The returned buffer may contain digits that would be truncated from the + // shortest representation of the input. + // - PRECISION: produces 'requested_digits' where the first digit is not '0'. + // Even though the length of produced digits usually equals + // 'requested_digits', the function is allowed to return fewer digits, in + // which case the caller has to fill the missing digits with '0's. + // Halfway cases are again rounded away from 0. + // DoubleToAscii expects the given buffer to be big enough to hold all + // digits and a terminating null-character. In SHORTEST-mode it expects a + // buffer of at least kBase10MaximalLength + 1. In all other modes the + // requested_digits parameter and the padding-zeroes limit the size of the + // output. Don't forget the decimal point, the exponent character and the + // terminating null-character when computing the maximal output size. + // The given length is only used in debug mode to ensure the buffer is big + // enough. + static void DoubleToAscii(double v, + DtoaMode mode, + int requested_digits, + char* buffer, + int buffer_length, + bool* sign, + int* length, + int* point); + + private: + // Implementation for ToShortest and ToShortestSingle. + bool ToShortestIeeeNumber(double value, + StringBuilder* result_builder, + DtoaMode mode) const; + + // If the value is a special value (NaN or Infinity) constructs the + // corresponding string using the configured infinity/nan-symbol. + // If either of them is NULL or the value is not special then the + // function returns false. + bool HandleSpecialValues(double value, StringBuilder* result_builder) const; + // Constructs an exponential representation (i.e. 1.234e56). + // The given exponent assumes a decimal point after the first decimal digit. + void CreateExponentialRepresentation(const char* decimal_digits, + int length, + int exponent, + StringBuilder* result_builder) const; + // Creates a decimal representation (i.e 1234.5678). + void CreateDecimalRepresentation(const char* decimal_digits, + int length, + int decimal_point, + int digits_after_point, + StringBuilder* result_builder) const; + + const int flags_; + const char* const infinity_symbol_; + const char* const nan_symbol_; + const char exponent_character_; + const int decimal_in_shortest_low_; + const int decimal_in_shortest_high_; + const int max_leading_padding_zeroes_in_precision_mode_; + const int max_trailing_padding_zeroes_in_precision_mode_; + + DISALLOW_IMPLICIT_CONSTRUCTORS(DoubleToStringConverter); +}; + + +class StringToDoubleConverter { + public: + // Enumeration for allowing octals and ignoring junk when converting + // strings to numbers. + enum Flags { + NO_FLAGS = 0, + ALLOW_HEX = 1, + ALLOW_OCTALS = 2, + ALLOW_TRAILING_JUNK = 4, + ALLOW_LEADING_SPACES = 8, + ALLOW_TRAILING_SPACES = 16, + ALLOW_SPACES_AFTER_SIGN = 32 + }; + + // Flags should be a bit-or combination of the possible Flags-enum. + // - NO_FLAGS: no special flags. + // - ALLOW_HEX: recognizes the prefix "0x". Hex numbers may only be integers. + // Ex: StringToDouble("0x1234") -> 4660.0 + // In StringToDouble("0x1234.56") the characters ".56" are trailing + // junk. The result of the call is hence dependent on + // the ALLOW_TRAILING_JUNK flag and/or the junk value. + // With this flag "0x" is a junk-string. Even with ALLOW_TRAILING_JUNK, + // the string will not be parsed as "0" followed by junk. + // + // - ALLOW_OCTALS: recognizes the prefix "0" for octals: + // If a sequence of octal digits starts with '0', then the number is + // read as octal integer. Octal numbers may only be integers. + // Ex: StringToDouble("01234") -> 668.0 + // StringToDouble("012349") -> 12349.0 // Not a sequence of octal + // // digits. + // In StringToDouble("01234.56") the characters ".56" are trailing + // junk. The result of the call is hence dependent on + // the ALLOW_TRAILING_JUNK flag and/or the junk value. + // In StringToDouble("01234e56") the characters "e56" are trailing + // junk, too. + // - ALLOW_TRAILING_JUNK: ignore trailing characters that are not part of + // a double literal. + // - ALLOW_LEADING_SPACES: skip over leading spaces. + // - ALLOW_TRAILING_SPACES: ignore trailing spaces. + // - ALLOW_SPACES_AFTER_SIGN: ignore spaces after the sign. + // Ex: StringToDouble("- 123.2") -> -123.2. + // StringToDouble("+ 123.2") -> 123.2 + // + // empty_string_value is returned when an empty string is given as input. + // If ALLOW_LEADING_SPACES or ALLOW_TRAILING_SPACES are set, then a string + // containing only spaces is converted to the 'empty_string_value', too. + // + // junk_string_value is returned when + // a) ALLOW_TRAILING_JUNK is not set, and a junk character (a character not + // part of a double-literal) is found. + // b) ALLOW_TRAILING_JUNK is set, but the string does not start with a + // double literal. + // + // infinity_symbol and nan_symbol are strings that are used to detect + // inputs that represent infinity and NaN. They can be null, in which case + // they are ignored. + // The conversion routine first reads any possible signs. Then it compares the + // following character of the input-string with the first character of + // the infinity, and nan-symbol. If either matches, the function assumes, that + // a match has been found, and expects the following input characters to match + // the remaining characters of the special-value symbol. + // This means that the following restrictions apply to special-value symbols: + // - they must not start with signs ('+', or '-'), + // - they must not have the same first character. + // - they must not start with digits. + // + // Examples: + // flags = ALLOW_HEX | ALLOW_TRAILING_JUNK, + // empty_string_value = 0.0, + // junk_string_value = NaN, + // infinity_symbol = "infinity", + // nan_symbol = "nan": + // StringToDouble("0x1234") -> 4660.0. + // StringToDouble("0x1234K") -> 4660.0. + // StringToDouble("") -> 0.0 // empty_string_value. + // StringToDouble(" ") -> NaN // junk_string_value. + // StringToDouble(" 1") -> NaN // junk_string_value. + // StringToDouble("0x") -> NaN // junk_string_value. + // StringToDouble("-123.45") -> -123.45. + // StringToDouble("--123.45") -> NaN // junk_string_value. + // StringToDouble("123e45") -> 123e45. + // StringToDouble("123E45") -> 123e45. + // StringToDouble("123e+45") -> 123e45. + // StringToDouble("123E-45") -> 123e-45. + // StringToDouble("123e") -> 123.0 // trailing junk ignored. + // StringToDouble("123e-") -> 123.0 // trailing junk ignored. + // StringToDouble("+NaN") -> NaN // NaN string literal. + // StringToDouble("-infinity") -> -inf. // infinity literal. + // StringToDouble("Infinity") -> NaN // junk_string_value. + // + // flags = ALLOW_OCTAL | ALLOW_LEADING_SPACES, + // empty_string_value = 0.0, + // junk_string_value = NaN, + // infinity_symbol = NULL, + // nan_symbol = NULL: + // StringToDouble("0x1234") -> NaN // junk_string_value. + // StringToDouble("01234") -> 668.0. + // StringToDouble("") -> 0.0 // empty_string_value. + // StringToDouble(" ") -> 0.0 // empty_string_value. + // StringToDouble(" 1") -> 1.0 + // StringToDouble("0x") -> NaN // junk_string_value. + // StringToDouble("0123e45") -> NaN // junk_string_value. + // StringToDouble("01239E45") -> 1239e45. + // StringToDouble("-infinity") -> NaN // junk_string_value. + // StringToDouble("NaN") -> NaN // junk_string_value. + StringToDoubleConverter(int flags, + double empty_string_value, + double junk_string_value, + const char* infinity_symbol, + const char* nan_symbol) + : flags_(flags), + empty_string_value_(empty_string_value), + junk_string_value_(junk_string_value), + infinity_symbol_(infinity_symbol), + nan_symbol_(nan_symbol) { + } + + // Performs the conversion. + // The output parameter 'processed_characters_count' is set to the number + // of characters that have been processed to read the number. + // Spaces than are processed with ALLOW_{LEADING|TRAILING}_SPACES are included + // in the 'processed_characters_count'. Trailing junk is never included. + double StringToDouble(const char* buffer, + int length, + int* processed_characters_count) { + return StringToIeee(buffer, length, processed_characters_count, true); + } + + // Same as StringToDouble but reads a float. + // Note that this is not equivalent to static_cast(StringToDouble(...)) + // due to potential double-rounding. + float StringToFloat(const char* buffer, + int length, + int* processed_characters_count) { + return static_cast(StringToIeee(buffer, length, + processed_characters_count, false)); + } + + private: + const int flags_; + const double empty_string_value_; + const double junk_string_value_; + const char* const infinity_symbol_; + const char* const nan_symbol_; + + double StringToIeee(const char* buffer, + int length, + int* processed_characters_count, + bool read_as_double); + + DISALLOW_IMPLICIT_CONSTRUCTORS(StringToDoubleConverter); +}; + +} // namespace double_conversion + +#endif // DOUBLE_CONVERSION_DOUBLE_CONVERSION_H_ diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/fast-dtoa.cc julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/fast-dtoa.cc --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/fast-dtoa.cc 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/fast-dtoa.cc 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,664 @@ +// Copyright 2012 the V8 project authors. 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 Google Inc. 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. + +#include "fast-dtoa.h" + +#include "cached-powers.h" +#include "diy-fp.h" +#include "ieee.h" + +namespace double_conversion { + +// The minimal and maximal target exponent define the range of w's binary +// exponent, where 'w' is the result of multiplying the input by a cached power +// of ten. +// +// A different range might be chosen on a different platform, to optimize digit +// generation, but a smaller range requires more powers of ten to be cached. +static const int kMinimalTargetExponent = -60; +static const int kMaximalTargetExponent = -32; + + +// Adjusts the last digit of the generated number, and screens out generated +// solutions that may be inaccurate. A solution may be inaccurate if it is +// outside the safe interval, or if we cannot prove that it is closer to the +// input than a neighboring representation of the same length. +// +// Input: * buffer containing the digits of too_high / 10^kappa +// * the buffer's length +// * distance_too_high_w == (too_high - w).f() * unit +// * unsafe_interval == (too_high - too_low).f() * unit +// * rest = (too_high - buffer * 10^kappa).f() * unit +// * ten_kappa = 10^kappa * unit +// * unit = the common multiplier +// Output: returns true if the buffer is guaranteed to contain the closest +// representable number to the input. +// Modifies the generated digits in the buffer to approach (round towards) w. +static bool RoundWeed(Vector buffer, + int length, + uint64_t distance_too_high_w, + uint64_t unsafe_interval, + uint64_t rest, + uint64_t ten_kappa, + uint64_t unit) { + uint64_t small_distance = distance_too_high_w - unit; + uint64_t big_distance = distance_too_high_w + unit; + // Let w_low = too_high - big_distance, and + // w_high = too_high - small_distance. + // Note: w_low < w < w_high + // + // The real w (* unit) must lie somewhere inside the interval + // ]w_low; w_high[ (often written as "(w_low; w_high)") + + // Basically the buffer currently contains a number in the unsafe interval + // ]too_low; too_high[ with too_low < w < too_high + // + // too_high - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + // ^v 1 unit ^ ^ ^ ^ + // boundary_high --------------------- . . . . + // ^v 1 unit . . . . + // - - - - - - - - - - - - - - - - - - - + - - + - - - - - - . . + // . . ^ . . + // . big_distance . . . + // . . . . rest + // small_distance . . . . + // v . . . . + // w_high - - - - - - - - - - - - - - - - - - . . . . + // ^v 1 unit . . . . + // w ---------------------------------------- . . . . + // ^v 1 unit v . . . + // w_low - - - - - - - - - - - - - - - - - - - - - . . . + // . . v + // buffer --------------------------------------------------+-------+-------- + // . . + // safe_interval . + // v . + // - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - . + // ^v 1 unit . + // boundary_low ------------------------- unsafe_interval + // ^v 1 unit v + // too_low - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + // + // + // Note that the value of buffer could lie anywhere inside the range too_low + // to too_high. + // + // boundary_low, boundary_high and w are approximations of the real boundaries + // and v (the input number). They are guaranteed to be precise up to one unit. + // In fact the error is guaranteed to be strictly less than one unit. + // + // Anything that lies outside the unsafe interval is guaranteed not to round + // to v when read again. + // Anything that lies inside the safe interval is guaranteed to round to v + // when read again. + // If the number inside the buffer lies inside the unsafe interval but not + // inside the safe interval then we simply do not know and bail out (returning + // false). + // + // Similarly we have to take into account the imprecision of 'w' when finding + // the closest representation of 'w'. If we have two potential + // representations, and one is closer to both w_low and w_high, then we know + // it is closer to the actual value v. + // + // By generating the digits of too_high we got the largest (closest to + // too_high) buffer that is still in the unsafe interval. In the case where + // w_high < buffer < too_high we try to decrement the buffer. + // This way the buffer approaches (rounds towards) w. + // There are 3 conditions that stop the decrementation process: + // 1) the buffer is already below w_high + // 2) decrementing the buffer would make it leave the unsafe interval + // 3) decrementing the buffer would yield a number below w_high and farther + // away than the current number. In other words: + // (buffer{-1} < w_high) && w_high - buffer{-1} > buffer - w_high + // Instead of using the buffer directly we use its distance to too_high. + // Conceptually rest ~= too_high - buffer + // We need to do the following tests in this order to avoid over- and + // underflows. + ASSERT(rest <= unsafe_interval); + while (rest < small_distance && // Negated condition 1 + unsafe_interval - rest >= ten_kappa && // Negated condition 2 + (rest + ten_kappa < small_distance || // buffer{-1} > w_high + small_distance - rest >= rest + ten_kappa - small_distance)) { + buffer[length - 1]--; + rest += ten_kappa; + } + + // We have approached w+ as much as possible. We now test if approaching w- + // would require changing the buffer. If yes, then we have two possible + // representations close to w, but we cannot decide which one is closer. + if (rest < big_distance && + unsafe_interval - rest >= ten_kappa && + (rest + ten_kappa < big_distance || + big_distance - rest > rest + ten_kappa - big_distance)) { + return false; + } + + // Weeding test. + // The safe interval is [too_low + 2 ulp; too_high - 2 ulp] + // Since too_low = too_high - unsafe_interval this is equivalent to + // [too_high - unsafe_interval + 4 ulp; too_high - 2 ulp] + // Conceptually we have: rest ~= too_high - buffer + return (2 * unit <= rest) && (rest <= unsafe_interval - 4 * unit); +} + + +// Rounds the buffer upwards if the result is closer to v by possibly adding +// 1 to the buffer. If the precision of the calculation is not sufficient to +// round correctly, return false. +// The rounding might shift the whole buffer in which case the kappa is +// adjusted. For example "99", kappa = 3 might become "10", kappa = 4. +// +// If 2*rest > ten_kappa then the buffer needs to be round up. +// rest can have an error of +/- 1 unit. This function accounts for the +// imprecision and returns false, if the rounding direction cannot be +// unambiguously determined. +// +// Precondition: rest < ten_kappa. +static bool RoundWeedCounted(Vector buffer, + int length, + uint64_t rest, + uint64_t ten_kappa, + uint64_t unit, + int* kappa) { + ASSERT(rest < ten_kappa); + // The following tests are done in a specific order to avoid overflows. They + // will work correctly with any uint64 values of rest < ten_kappa and unit. + // + // If the unit is too big, then we don't know which way to round. For example + // a unit of 50 means that the real number lies within rest +/- 50. If + // 10^kappa == 40 then there is no way to tell which way to round. + if (unit >= ten_kappa) return false; + // Even if unit is just half the size of 10^kappa we are already completely + // lost. (And after the previous test we know that the expression will not + // over/underflow.) + if (ten_kappa - unit <= unit) return false; + // If 2 * (rest + unit) <= 10^kappa we can safely round down. + if ((ten_kappa - rest > rest) && (ten_kappa - 2 * rest >= 2 * unit)) { + return true; + } + // If 2 * (rest - unit) >= 10^kappa, then we can safely round up. + if ((rest > unit) && (ten_kappa - (rest - unit) <= (rest - unit))) { + // Increment the last digit recursively until we find a non '9' digit. + buffer[length - 1]++; + for (int i = length - 1; i > 0; --i) { + if (buffer[i] != '0' + 10) break; + buffer[i] = '0'; + buffer[i - 1]++; + } + // If the first digit is now '0'+ 10 we had a buffer with all '9's. With the + // exception of the first digit all digits are now '0'. Simply switch the + // first digit to '1' and adjust the kappa. Example: "99" becomes "10" and + // the power (the kappa) is increased. + if (buffer[0] == '0' + 10) { + buffer[0] = '1'; + (*kappa) += 1; + } + return true; + } + return false; +} + +// Returns the biggest power of ten that is less than or equal to the given +// number. We furthermore receive the maximum number of bits 'number' has. +// +// Returns power == 10^(exponent_plus_one-1) such that +// power <= number < power * 10. +// If number_bits == 0 then 0^(0-1) is returned. +// The number of bits must be <= 32. +// Precondition: number < (1 << (number_bits + 1)). + +// Inspired by the method for finding an integer log base 10 from here: +// http://graphics.stanford.edu/~seander/bithacks.html#IntegerLog10 +static unsigned int const kSmallPowersOfTen[] = + {0, 1, 10, 100, 1000, 10000, 100000, 1000000, 10000000, 100000000, + 1000000000}; + +static void BiggestPowerTen(uint32_t number, + int number_bits, + uint32_t* power, + int* exponent_plus_one) { + ASSERT(number < (1u << (number_bits + 1))); + // 1233/4096 is approximately 1/lg(10). + int exponent_plus_one_guess = ((number_bits + 1) * 1233 >> 12); + // We increment to skip over the first entry in the kPowersOf10 table. + // Note: kPowersOf10[i] == 10^(i-1). + exponent_plus_one_guess++; + // We don't have any guarantees that 2^number_bits <= number. + // TODO(floitsch): can we change the 'while' into an 'if'? We definitely see + // number < (2^number_bits - 1), but I haven't encountered + // number < (2^number_bits - 2) yet. + while (number < kSmallPowersOfTen[exponent_plus_one_guess]) { + exponent_plus_one_guess--; + } + *power = kSmallPowersOfTen[exponent_plus_one_guess]; + *exponent_plus_one = exponent_plus_one_guess; +} + +// Generates the digits of input number w. +// w is a floating-point number (DiyFp), consisting of a significand and an +// exponent. Its exponent is bounded by kMinimalTargetExponent and +// kMaximalTargetExponent. +// Hence -60 <= w.e() <= -32. +// +// Returns false if it fails, in which case the generated digits in the buffer +// should not be used. +// Preconditions: +// * low, w and high are correct up to 1 ulp (unit in the last place). That +// is, their error must be less than a unit of their last digits. +// * low.e() == w.e() == high.e() +// * low < w < high, and taking into account their error: low~ <= high~ +// * kMinimalTargetExponent <= w.e() <= kMaximalTargetExponent +// Postconditions: returns false if procedure fails. +// otherwise: +// * buffer is not null-terminated, but len contains the number of digits. +// * buffer contains the shortest possible decimal digit-sequence +// such that LOW < buffer * 10^kappa < HIGH, where LOW and HIGH are the +// correct values of low and high (without their error). +// * if more than one decimal representation gives the minimal number of +// decimal digits then the one closest to W (where W is the correct value +// of w) is chosen. +// Remark: this procedure takes into account the imprecision of its input +// numbers. If the precision is not enough to guarantee all the postconditions +// then false is returned. This usually happens rarely (~0.5%). +// +// Say, for the sake of example, that +// w.e() == -48, and w.f() == 0x1234567890abcdef +// w's value can be computed by w.f() * 2^w.e() +// We can obtain w's integral digits by simply shifting w.f() by -w.e(). +// -> w's integral part is 0x1234 +// w's fractional part is therefore 0x567890abcdef. +// Printing w's integral part is easy (simply print 0x1234 in decimal). +// In order to print its fraction we repeatedly multiply the fraction by 10 and +// get each digit. Example the first digit after the point would be computed by +// (0x567890abcdef * 10) >> 48. -> 3 +// The whole thing becomes slightly more complicated because we want to stop +// once we have enough digits. That is, once the digits inside the buffer +// represent 'w' we can stop. Everything inside the interval low - high +// represents w. However we have to pay attention to low, high and w's +// imprecision. +static bool DigitGen(DiyFp low, + DiyFp w, + DiyFp high, + Vector buffer, + int* length, + int* kappa) { + ASSERT(low.e() == w.e() && w.e() == high.e()); + ASSERT(low.f() + 1 <= high.f() - 1); + ASSERT(kMinimalTargetExponent <= w.e() && w.e() <= kMaximalTargetExponent); + // low, w and high are imprecise, but by less than one ulp (unit in the last + // place). + // If we remove (resp. add) 1 ulp from low (resp. high) we are certain that + // the new numbers are outside of the interval we want the final + // representation to lie in. + // Inversely adding (resp. removing) 1 ulp from low (resp. high) would yield + // numbers that are certain to lie in the interval. We will use this fact + // later on. + // We will now start by generating the digits within the uncertain + // interval. Later we will weed out representations that lie outside the safe + // interval and thus _might_ lie outside the correct interval. + uint64_t unit = 1; + DiyFp too_low = DiyFp(low.f() - unit, low.e()); + DiyFp too_high = DiyFp(high.f() + unit, high.e()); + // too_low and too_high are guaranteed to lie outside the interval we want the + // generated number in. + DiyFp unsafe_interval = DiyFp::Minus(too_high, too_low); + // We now cut the input number into two parts: the integral digits and the + // fractionals. We will not write any decimal separator though, but adapt + // kappa instead. + // Reminder: we are currently computing the digits (stored inside the buffer) + // such that: too_low < buffer * 10^kappa < too_high + // We use too_high for the digit_generation and stop as soon as possible. + // If we stop early we effectively round down. + DiyFp one = DiyFp(static_cast(1) << -w.e(), w.e()); + // Division by one is a shift. + uint32_t integrals = static_cast(too_high.f() >> -one.e()); + // Modulo by one is an and. + uint64_t fractionals = too_high.f() & (one.f() - 1); + uint32_t divisor; + int divisor_exponent_plus_one; + BiggestPowerTen(integrals, DiyFp::kSignificandSize - (-one.e()), + &divisor, &divisor_exponent_plus_one); + *kappa = divisor_exponent_plus_one; + *length = 0; + // Loop invariant: buffer = too_high / 10^kappa (integer division) + // The invariant holds for the first iteration: kappa has been initialized + // with the divisor exponent + 1. And the divisor is the biggest power of ten + // that is smaller than integrals. + while (*kappa > 0) { + int digit = integrals / divisor; + buffer[*length] = '0' + digit; + (*length)++; + integrals %= divisor; + (*kappa)--; + // Note that kappa now equals the exponent of the divisor and that the + // invariant thus holds again. + uint64_t rest = + (static_cast(integrals) << -one.e()) + fractionals; + // Invariant: too_high = buffer * 10^kappa + DiyFp(rest, one.e()) + // Reminder: unsafe_interval.e() == one.e() + if (rest < unsafe_interval.f()) { + // Rounding down (by not emitting the remaining digits) yields a number + // that lies within the unsafe interval. + return RoundWeed(buffer, *length, DiyFp::Minus(too_high, w).f(), + unsafe_interval.f(), rest, + static_cast(divisor) << -one.e(), unit); + } + divisor /= 10; + } + + // The integrals have been generated. We are at the point of the decimal + // separator. In the following loop we simply multiply the remaining digits by + // 10 and divide by one. We just need to pay attention to multiply associated + // data (like the interval or 'unit'), too. + // Note that the multiplication by 10 does not overflow, because w.e >= -60 + // and thus one.e >= -60. + ASSERT(one.e() >= -60); + ASSERT(fractionals < one.f()); + ASSERT(UINT64_2PART_C(0xFFFFFFFF, FFFFFFFF) / 10 >= one.f()); + while (true) { + fractionals *= 10; + unit *= 10; + unsafe_interval.set_f(unsafe_interval.f() * 10); + // Integer division by one. + int digit = static_cast(fractionals >> -one.e()); + buffer[*length] = '0' + digit; + (*length)++; + fractionals &= one.f() - 1; // Modulo by one. + (*kappa)--; + if (fractionals < unsafe_interval.f()) { + return RoundWeed(buffer, *length, DiyFp::Minus(too_high, w).f() * unit, + unsafe_interval.f(), fractionals, one.f(), unit); + } + } +} + + + +// Generates (at most) requested_digits digits of input number w. +// w is a floating-point number (DiyFp), consisting of a significand and an +// exponent. Its exponent is bounded by kMinimalTargetExponent and +// kMaximalTargetExponent. +// Hence -60 <= w.e() <= -32. +// +// Returns false if it fails, in which case the generated digits in the buffer +// should not be used. +// Preconditions: +// * w is correct up to 1 ulp (unit in the last place). That +// is, its error must be strictly less than a unit of its last digit. +// * kMinimalTargetExponent <= w.e() <= kMaximalTargetExponent +// +// Postconditions: returns false if procedure fails. +// otherwise: +// * buffer is not null-terminated, but length contains the number of +// digits. +// * the representation in buffer is the most precise representation of +// requested_digits digits. +// * buffer contains at most requested_digits digits of w. If there are less +// than requested_digits digits then some trailing '0's have been removed. +// * kappa is such that +// w = buffer * 10^kappa + eps with |eps| < 10^kappa / 2. +// +// Remark: This procedure takes into account the imprecision of its input +// numbers. If the precision is not enough to guarantee all the postconditions +// then false is returned. This usually happens rarely, but the failure-rate +// increases with higher requested_digits. +static bool DigitGenCounted(DiyFp w, + int requested_digits, + Vector buffer, + int* length, + int* kappa) { + ASSERT(kMinimalTargetExponent <= w.e() && w.e() <= kMaximalTargetExponent); + ASSERT(kMinimalTargetExponent >= -60); + ASSERT(kMaximalTargetExponent <= -32); + // w is assumed to have an error less than 1 unit. Whenever w is scaled we + // also scale its error. + uint64_t w_error = 1; + // We cut the input number into two parts: the integral digits and the + // fractional digits. We don't emit any decimal separator, but adapt kappa + // instead. Example: instead of writing "1.2" we put "12" into the buffer and + // increase kappa by 1. + DiyFp one = DiyFp(static_cast(1) << -w.e(), w.e()); + // Division by one is a shift. + uint32_t integrals = static_cast(w.f() >> -one.e()); + // Modulo by one is an and. + uint64_t fractionals = w.f() & (one.f() - 1); + uint32_t divisor; + int divisor_exponent_plus_one; + BiggestPowerTen(integrals, DiyFp::kSignificandSize - (-one.e()), + &divisor, &divisor_exponent_plus_one); + *kappa = divisor_exponent_plus_one; + *length = 0; + + // Loop invariant: buffer = w / 10^kappa (integer division) + // The invariant holds for the first iteration: kappa has been initialized + // with the divisor exponent + 1. And the divisor is the biggest power of ten + // that is smaller than 'integrals'. + while (*kappa > 0) { + int digit = integrals / divisor; + buffer[*length] = '0' + digit; + (*length)++; + requested_digits--; + integrals %= divisor; + (*kappa)--; + // Note that kappa now equals the exponent of the divisor and that the + // invariant thus holds again. + if (requested_digits == 0) break; + divisor /= 10; + } + + if (requested_digits == 0) { + uint64_t rest = + (static_cast(integrals) << -one.e()) + fractionals; + return RoundWeedCounted(buffer, *length, rest, + static_cast(divisor) << -one.e(), w_error, + kappa); + } + + // The integrals have been generated. We are at the point of the decimal + // separator. In the following loop we simply multiply the remaining digits by + // 10 and divide by one. We just need to pay attention to multiply associated + // data (the 'unit'), too. + // Note that the multiplication by 10 does not overflow, because w.e >= -60 + // and thus one.e >= -60. + ASSERT(one.e() >= -60); + ASSERT(fractionals < one.f()); + ASSERT(UINT64_2PART_C(0xFFFFFFFF, FFFFFFFF) / 10 >= one.f()); + while (requested_digits > 0 && fractionals > w_error) { + fractionals *= 10; + w_error *= 10; + // Integer division by one. + int digit = static_cast(fractionals >> -one.e()); + buffer[*length] = '0' + digit; + (*length)++; + requested_digits--; + fractionals &= one.f() - 1; // Modulo by one. + (*kappa)--; + } + if (requested_digits != 0) return false; + return RoundWeedCounted(buffer, *length, fractionals, one.f(), w_error, + kappa); +} + + +// Provides a decimal representation of v. +// Returns true if it succeeds, otherwise the result cannot be trusted. +// There will be *length digits inside the buffer (not null-terminated). +// If the function returns true then +// v == (double) (buffer * 10^decimal_exponent). +// The digits in the buffer are the shortest representation possible: no +// 0.09999999999999999 instead of 0.1. The shorter representation will even be +// chosen even if the longer one would be closer to v. +// The last digit will be closest to the actual v. That is, even if several +// digits might correctly yield 'v' when read again, the closest will be +// computed. +static bool Grisu3(double v, + FastDtoaMode mode, + Vector buffer, + int* length, + int* decimal_exponent) { + DiyFp w = Double(v).AsNormalizedDiyFp(); + // boundary_minus and boundary_plus are the boundaries between v and its + // closest floating-point neighbors. Any number strictly between + // boundary_minus and boundary_plus will round to v when convert to a double. + // Grisu3 will never output representations that lie exactly on a boundary. + DiyFp boundary_minus, boundary_plus; + if (mode == FAST_DTOA_SHORTEST) { + Double(v).NormalizedBoundaries(&boundary_minus, &boundary_plus); + } else { + ASSERT(mode == FAST_DTOA_SHORTEST_SINGLE); + float single_v = static_cast(v); + Single(single_v).NormalizedBoundaries(&boundary_minus, &boundary_plus); + } + ASSERT(boundary_plus.e() == w.e()); + DiyFp ten_mk; // Cached power of ten: 10^-k + int mk; // -k + int ten_mk_minimal_binary_exponent = + kMinimalTargetExponent - (w.e() + DiyFp::kSignificandSize); + int ten_mk_maximal_binary_exponent = + kMaximalTargetExponent - (w.e() + DiyFp::kSignificandSize); + PowersOfTenCache::GetCachedPowerForBinaryExponentRange( + ten_mk_minimal_binary_exponent, + ten_mk_maximal_binary_exponent, + &ten_mk, &mk); + ASSERT((kMinimalTargetExponent <= w.e() + ten_mk.e() + + DiyFp::kSignificandSize) && + (kMaximalTargetExponent >= w.e() + ten_mk.e() + + DiyFp::kSignificandSize)); + // Note that ten_mk is only an approximation of 10^-k. A DiyFp only contains a + // 64 bit significand and ten_mk is thus only precise up to 64 bits. + + // The DiyFp::Times procedure rounds its result, and ten_mk is approximated + // too. The variable scaled_w (as well as scaled_boundary_minus/plus) are now + // off by a small amount. + // In fact: scaled_w - w*10^k < 1ulp (unit in the last place) of scaled_w. + // In other words: let f = scaled_w.f() and e = scaled_w.e(), then + // (f-1) * 2^e < w*10^k < (f+1) * 2^e + DiyFp scaled_w = DiyFp::Times(w, ten_mk); + ASSERT(scaled_w.e() == + boundary_plus.e() + ten_mk.e() + DiyFp::kSignificandSize); + // In theory it would be possible to avoid some recomputations by computing + // the difference between w and boundary_minus/plus (a power of 2) and to + // compute scaled_boundary_minus/plus by subtracting/adding from + // scaled_w. However the code becomes much less readable and the speed + // enhancements are not terriffic. + DiyFp scaled_boundary_minus = DiyFp::Times(boundary_minus, ten_mk); + DiyFp scaled_boundary_plus = DiyFp::Times(boundary_plus, ten_mk); + + // DigitGen will generate the digits of scaled_w. Therefore we have + // v == (double) (scaled_w * 10^-mk). + // Set decimal_exponent == -mk and pass it to DigitGen. If scaled_w is not an + // integer than it will be updated. For instance if scaled_w == 1.23 then + // the buffer will be filled with "123" und the decimal_exponent will be + // decreased by 2. + int kappa; + bool result = DigitGen(scaled_boundary_minus, scaled_w, scaled_boundary_plus, + buffer, length, &kappa); + *decimal_exponent = -mk + kappa; + return result; +} + + +// The "counted" version of grisu3 (see above) only generates requested_digits +// number of digits. This version does not generate the shortest representation, +// and with enough requested digits 0.1 will at some point print as 0.9999999... +// Grisu3 is too imprecise for real halfway cases (1.5 will not work) and +// therefore the rounding strategy for halfway cases is irrelevant. +static bool Grisu3Counted(double v, + int requested_digits, + Vector buffer, + int* length, + int* decimal_exponent) { + DiyFp w = Double(v).AsNormalizedDiyFp(); + DiyFp ten_mk; // Cached power of ten: 10^-k + int mk; // -k + int ten_mk_minimal_binary_exponent = + kMinimalTargetExponent - (w.e() + DiyFp::kSignificandSize); + int ten_mk_maximal_binary_exponent = + kMaximalTargetExponent - (w.e() + DiyFp::kSignificandSize); + PowersOfTenCache::GetCachedPowerForBinaryExponentRange( + ten_mk_minimal_binary_exponent, + ten_mk_maximal_binary_exponent, + &ten_mk, &mk); + ASSERT((kMinimalTargetExponent <= w.e() + ten_mk.e() + + DiyFp::kSignificandSize) && + (kMaximalTargetExponent >= w.e() + ten_mk.e() + + DiyFp::kSignificandSize)); + // Note that ten_mk is only an approximation of 10^-k. A DiyFp only contains a + // 64 bit significand and ten_mk is thus only precise up to 64 bits. + + // The DiyFp::Times procedure rounds its result, and ten_mk is approximated + // too. The variable scaled_w (as well as scaled_boundary_minus/plus) are now + // off by a small amount. + // In fact: scaled_w - w*10^k < 1ulp (unit in the last place) of scaled_w. + // In other words: let f = scaled_w.f() and e = scaled_w.e(), then + // (f-1) * 2^e < w*10^k < (f+1) * 2^e + DiyFp scaled_w = DiyFp::Times(w, ten_mk); + + // We now have (double) (scaled_w * 10^-mk). + // DigitGen will generate the first requested_digits digits of scaled_w and + // return together with a kappa such that scaled_w ~= buffer * 10^kappa. (It + // will not always be exactly the same since DigitGenCounted only produces a + // limited number of digits.) + int kappa; + bool result = DigitGenCounted(scaled_w, requested_digits, + buffer, length, &kappa); + *decimal_exponent = -mk + kappa; + return result; +} + + +bool FastDtoa(double v, + FastDtoaMode mode, + int requested_digits, + Vector buffer, + int* length, + int* decimal_point) { + ASSERT(v > 0); + ASSERT(!Double(v).IsSpecial()); + + bool result = false; + int decimal_exponent = 0; + switch (mode) { + case FAST_DTOA_SHORTEST: + case FAST_DTOA_SHORTEST_SINGLE: + result = Grisu3(v, mode, buffer, length, &decimal_exponent); + break; + case FAST_DTOA_PRECISION: + result = Grisu3Counted(v, requested_digits, + buffer, length, &decimal_exponent); + break; + default: + UNREACHABLE(); + } + if (result) { + *decimal_point = *length + decimal_exponent; + buffer[*length] = '\0'; + } + return result; +} + +} // namespace double_conversion diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/fast-dtoa.h julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/fast-dtoa.h --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/fast-dtoa.h 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/fast-dtoa.h 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,88 @@ +// Copyright 2010 the V8 project authors. 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 Google Inc. 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. + +#ifndef DOUBLE_CONVERSION_FAST_DTOA_H_ +#define DOUBLE_CONVERSION_FAST_DTOA_H_ + +#include "utils.h" + +namespace double_conversion { + +enum FastDtoaMode { + // Computes the shortest representation of the given input. The returned + // result will be the most accurate number of this length. Longer + // representations might be more accurate. + FAST_DTOA_SHORTEST, + // Same as FAST_DTOA_SHORTEST but for single-precision floats. + FAST_DTOA_SHORTEST_SINGLE, + // Computes a representation where the precision (number of digits) is + // given as input. The precision is independent of the decimal point. + FAST_DTOA_PRECISION +}; + +// FastDtoa will produce at most kFastDtoaMaximalLength digits. This does not +// include the terminating '\0' character. +static const int kFastDtoaMaximalLength = 17; +// Same for single-precision numbers. +static const int kFastDtoaMaximalSingleLength = 9; + +// Provides a decimal representation of v. +// The result should be interpreted as buffer * 10^(point - length). +// +// Precondition: +// * v must be a strictly positive finite double. +// +// Returns true if it succeeds, otherwise the result can not be trusted. +// There will be *length digits inside the buffer followed by a null terminator. +// If the function returns true and mode equals +// - FAST_DTOA_SHORTEST, then +// the parameter requested_digits is ignored. +// The result satisfies +// v == (double) (buffer * 10^(point - length)). +// The digits in the buffer are the shortest representation possible. E.g. +// if 0.099999999999 and 0.1 represent the same double then "1" is returned +// with point = 0. +// The last digit will be closest to the actual v. That is, even if several +// digits might correctly yield 'v' when read again, the buffer will contain +// the one closest to v. +// - FAST_DTOA_PRECISION, then +// the buffer contains requested_digits digits. +// the difference v - (buffer * 10^(point-length)) is closest to zero for +// all possible representations of requested_digits digits. +// If there are two values that are equally close, then FastDtoa returns +// false. +// For both modes the buffer must be large enough to hold the result. +bool FastDtoa(double d, + FastDtoaMode mode, + int requested_digits, + Vector buffer, + int* length, + int* decimal_point); + +} // namespace double_conversion + +#endif // DOUBLE_CONVERSION_FAST_DTOA_H_ diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/fixed-dtoa.cc julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/fixed-dtoa.cc --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/fixed-dtoa.cc 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/fixed-dtoa.cc 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,402 @@ +// Copyright 2010 the V8 project authors. 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 Google Inc. 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. + +#include + +#include "fixed-dtoa.h" +#include "ieee.h" + +namespace double_conversion { + +// Represents a 128bit type. This class should be replaced by a native type on +// platforms that support 128bit integers. +class UInt128 { + public: + UInt128() : high_bits_(0), low_bits_(0) { } + UInt128(uint64_t high, uint64_t low) : high_bits_(high), low_bits_(low) { } + + void Multiply(uint32_t multiplicand) { + uint64_t accumulator; + + accumulator = (low_bits_ & kMask32) * multiplicand; + uint32_t part = static_cast(accumulator & kMask32); + accumulator >>= 32; + accumulator = accumulator + (low_bits_ >> 32) * multiplicand; + low_bits_ = (accumulator << 32) + part; + accumulator >>= 32; + accumulator = accumulator + (high_bits_ & kMask32) * multiplicand; + part = static_cast(accumulator & kMask32); + accumulator >>= 32; + accumulator = accumulator + (high_bits_ >> 32) * multiplicand; + high_bits_ = (accumulator << 32) + part; + ASSERT((accumulator >> 32) == 0); + } + + void Shift(int shift_amount) { + ASSERT(-64 <= shift_amount && shift_amount <= 64); + if (shift_amount == 0) { + return; + } else if (shift_amount == -64) { + high_bits_ = low_bits_; + low_bits_ = 0; + } else if (shift_amount == 64) { + low_bits_ = high_bits_; + high_bits_ = 0; + } else if (shift_amount <= 0) { + high_bits_ <<= -shift_amount; + high_bits_ += low_bits_ >> (64 + shift_amount); + low_bits_ <<= -shift_amount; + } else { + low_bits_ >>= shift_amount; + low_bits_ += high_bits_ << (64 - shift_amount); + high_bits_ >>= shift_amount; + } + } + + // Modifies *this to *this MOD (2^power). + // Returns *this DIV (2^power). + int DivModPowerOf2(int power) { + if (power >= 64) { + int result = static_cast(high_bits_ >> (power - 64)); + high_bits_ -= static_cast(result) << (power - 64); + return result; + } else { + uint64_t part_low = low_bits_ >> power; + uint64_t part_high = high_bits_ << (64 - power); + int result = static_cast(part_low + part_high); + high_bits_ = 0; + low_bits_ -= part_low << power; + return result; + } + } + + bool IsZero() const { + return high_bits_ == 0 && low_bits_ == 0; + } + + int BitAt(int position) { + if (position >= 64) { + return static_cast(high_bits_ >> (position - 64)) & 1; + } else { + return static_cast(low_bits_ >> position) & 1; + } + } + + private: + static const uint64_t kMask32 = 0xFFFFFFFF; + // Value == (high_bits_ << 64) + low_bits_ + uint64_t high_bits_; + uint64_t low_bits_; +}; + + +static const int kDoubleSignificandSize = 53; // Includes the hidden bit. + + +static void FillDigits32FixedLength(uint32_t number, int requested_length, + Vector buffer, int* length) { + for (int i = requested_length - 1; i >= 0; --i) { + buffer[(*length) + i] = '0' + number % 10; + number /= 10; + } + *length += requested_length; +} + + +static void FillDigits32(uint32_t number, Vector buffer, int* length) { + int number_length = 0; + // We fill the digits in reverse order and exchange them afterwards. + while (number != 0) { + int digit = number % 10; + number /= 10; + buffer[(*length) + number_length] = '0' + digit; + number_length++; + } + // Exchange the digits. + int i = *length; + int j = *length + number_length - 1; + while (i < j) { + char tmp = buffer[i]; + buffer[i] = buffer[j]; + buffer[j] = tmp; + i++; + j--; + } + *length += number_length; +} + + +static void FillDigits64FixedLength(uint64_t number, int requested_length, + Vector buffer, int* length) { + const uint32_t kTen7 = 10000000; + // For efficiency cut the number into 3 uint32_t parts, and print those. + uint32_t part2 = static_cast(number % kTen7); + number /= kTen7; + uint32_t part1 = static_cast(number % kTen7); + uint32_t part0 = static_cast(number / kTen7); + + FillDigits32FixedLength(part0, 3, buffer, length); + FillDigits32FixedLength(part1, 7, buffer, length); + FillDigits32FixedLength(part2, 7, buffer, length); +} + + +static void FillDigits64(uint64_t number, Vector buffer, int* length) { + const uint32_t kTen7 = 10000000; + // For efficiency cut the number into 3 uint32_t parts, and print those. + uint32_t part2 = static_cast(number % kTen7); + number /= kTen7; + uint32_t part1 = static_cast(number % kTen7); + uint32_t part0 = static_cast(number / kTen7); + + if (part0 != 0) { + FillDigits32(part0, buffer, length); + FillDigits32FixedLength(part1, 7, buffer, length); + FillDigits32FixedLength(part2, 7, buffer, length); + } else if (part1 != 0) { + FillDigits32(part1, buffer, length); + FillDigits32FixedLength(part2, 7, buffer, length); + } else { + FillDigits32(part2, buffer, length); + } +} + + +static void RoundUp(Vector buffer, int* length, int* decimal_point) { + // An empty buffer represents 0. + if (*length == 0) { + buffer[0] = '1'; + *decimal_point = 1; + *length = 1; + return; + } + // Round the last digit until we either have a digit that was not '9' or until + // we reached the first digit. + buffer[(*length) - 1]++; + for (int i = (*length) - 1; i > 0; --i) { + if (buffer[i] != '0' + 10) { + return; + } + buffer[i] = '0'; + buffer[i - 1]++; + } + // If the first digit is now '0' + 10, we would need to set it to '0' and add + // a '1' in front. However we reach the first digit only if all following + // digits had been '9' before rounding up. Now all trailing digits are '0' and + // we simply switch the first digit to '1' and update the decimal-point + // (indicating that the point is now one digit to the right). + if (buffer[0] == '0' + 10) { + buffer[0] = '1'; + (*decimal_point)++; + } +} + + +// The given fractionals number represents a fixed-point number with binary +// point at bit (-exponent). +// Preconditions: +// -128 <= exponent <= 0. +// 0 <= fractionals * 2^exponent < 1 +// The buffer holds the result. +// The function will round its result. During the rounding-process digits not +// generated by this function might be updated, and the decimal-point variable +// might be updated. If this function generates the digits 99 and the buffer +// already contained "199" (thus yielding a buffer of "19999") then a +// rounding-up will change the contents of the buffer to "20000". +static void FillFractionals(uint64_t fractionals, int exponent, + int fractional_count, Vector buffer, + int* length, int* decimal_point) { + ASSERT(-128 <= exponent && exponent <= 0); + // 'fractionals' is a fixed-point number, with binary point at bit + // (-exponent). Inside the function the non-converted remainder of fractionals + // is a fixed-point number, with binary point at bit 'point'. + if (-exponent <= 64) { + // One 64 bit number is sufficient. + ASSERT(fractionals >> 56 == 0); + int point = -exponent; + for (int i = 0; i < fractional_count; ++i) { + if (fractionals == 0) break; + // Instead of multiplying by 10 we multiply by 5 and adjust the point + // location. This way the fractionals variable will not overflow. + // Invariant at the beginning of the loop: fractionals < 2^point. + // Initially we have: point <= 64 and fractionals < 2^56 + // After each iteration the point is decremented by one. + // Note that 5^3 = 125 < 128 = 2^7. + // Therefore three iterations of this loop will not overflow fractionals + // (even without the subtraction at the end of the loop body). At this + // time point will satisfy point <= 61 and therefore fractionals < 2^point + // and any further multiplication of fractionals by 5 will not overflow. + fractionals *= 5; + point--; + int digit = static_cast(fractionals >> point); + buffer[*length] = '0' + digit; + (*length)++; + fractionals -= static_cast(digit) << point; + } + // If the first bit after the point is set we have to round up. + if (((fractionals >> (point - 1)) & 1) == 1) { + RoundUp(buffer, length, decimal_point); + } + } else { // We need 128 bits. + ASSERT(64 < -exponent && -exponent <= 128); + UInt128 fractionals128 = UInt128(fractionals, 0); + fractionals128.Shift(-exponent - 64); + int point = 128; + for (int i = 0; i < fractional_count; ++i) { + if (fractionals128.IsZero()) break; + // As before: instead of multiplying by 10 we multiply by 5 and adjust the + // point location. + // This multiplication will not overflow for the same reasons as before. + fractionals128.Multiply(5); + point--; + int digit = fractionals128.DivModPowerOf2(point); + buffer[*length] = '0' + digit; + (*length)++; + } + if (fractionals128.BitAt(point - 1) == 1) { + RoundUp(buffer, length, decimal_point); + } + } +} + + +// Removes leading and trailing zeros. +// If leading zeros are removed then the decimal point position is adjusted. +static void TrimZeros(Vector buffer, int* length, int* decimal_point) { + while (*length > 0 && buffer[(*length) - 1] == '0') { + (*length)--; + } + int first_non_zero = 0; + while (first_non_zero < *length && buffer[first_non_zero] == '0') { + first_non_zero++; + } + if (first_non_zero != 0) { + for (int i = first_non_zero; i < *length; ++i) { + buffer[i - first_non_zero] = buffer[i]; + } + *length -= first_non_zero; + *decimal_point -= first_non_zero; + } +} + + +bool FastFixedDtoa(double v, + int fractional_count, + Vector buffer, + int* length, + int* decimal_point) { + const uint32_t kMaxUInt32 = 0xFFFFFFFF; + uint64_t significand = Double(v).Significand(); + int exponent = Double(v).Exponent(); + // v = significand * 2^exponent (with significand a 53bit integer). + // If the exponent is larger than 20 (i.e. we may have a 73bit number) then we + // don't know how to compute the representation. 2^73 ~= 9.5*10^21. + // If necessary this limit could probably be increased, but we don't need + // more. + if (exponent > 20) return false; + if (fractional_count > 20) return false; + *length = 0; + // At most kDoubleSignificandSize bits of the significand are non-zero. + // Given a 64 bit integer we have 11 0s followed by 53 potentially non-zero + // bits: 0..11*..0xxx..53*..xx + if (exponent + kDoubleSignificandSize > 64) { + // The exponent must be > 11. + // + // We know that v = significand * 2^exponent. + // And the exponent > 11. + // We simplify the task by dividing v by 10^17. + // The quotient delivers the first digits, and the remainder fits into a 64 + // bit number. + // Dividing by 10^17 is equivalent to dividing by 5^17*2^17. + const uint64_t kFive17 = UINT64_2PART_C(0xB1, A2BC2EC5); // 5^17 + uint64_t divisor = kFive17; + int divisor_power = 17; + uint64_t dividend = significand; + uint32_t quotient; + uint64_t remainder; + // Let v = f * 2^e with f == significand and e == exponent. + // Then need q (quotient) and r (remainder) as follows: + // v = q * 10^17 + r + // f * 2^e = q * 10^17 + r + // f * 2^e = q * 5^17 * 2^17 + r + // If e > 17 then + // f * 2^(e-17) = q * 5^17 + r/2^17 + // else + // f = q * 5^17 * 2^(17-e) + r/2^e + if (exponent > divisor_power) { + // We only allow exponents of up to 20 and therefore (17 - e) <= 3 + dividend <<= exponent - divisor_power; + quotient = static_cast(dividend / divisor); + remainder = (dividend % divisor) << divisor_power; + } else { + divisor <<= divisor_power - exponent; + quotient = static_cast(dividend / divisor); + remainder = (dividend % divisor) << exponent; + } + FillDigits32(quotient, buffer, length); + FillDigits64FixedLength(remainder, divisor_power, buffer, length); + *decimal_point = *length; + } else if (exponent >= 0) { + // 0 <= exponent <= 11 + significand <<= exponent; + FillDigits64(significand, buffer, length); + *decimal_point = *length; + } else if (exponent > -kDoubleSignificandSize) { + // We have to cut the number. + uint64_t integrals = significand >> -exponent; + uint64_t fractionals = significand - (integrals << -exponent); + if (integrals > kMaxUInt32) { + FillDigits64(integrals, buffer, length); + } else { + FillDigits32(static_cast(integrals), buffer, length); + } + *decimal_point = *length; + FillFractionals(fractionals, exponent, fractional_count, + buffer, length, decimal_point); + } else if (exponent < -128) { + // This configuration (with at most 20 digits) means that all digits must be + // 0. + ASSERT(fractional_count <= 20); + buffer[0] = '\0'; + *length = 0; + *decimal_point = -fractional_count; + } else { + *decimal_point = 0; + FillFractionals(significand, exponent, fractional_count, + buffer, length, decimal_point); + } + TrimZeros(buffer, length, decimal_point); + buffer[*length] = '\0'; + if ((*length) == 0) { + // The string is empty and the decimal_point thus has no importance. Mimick + // Gay's dtoa and and set it to -fractional_count. + *decimal_point = -fractional_count; + } + return true; +} + +} // namespace double_conversion diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/fixed-dtoa.h julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/fixed-dtoa.h --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/fixed-dtoa.h 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/fixed-dtoa.h 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,56 @@ +// Copyright 2010 the V8 project authors. 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 Google Inc. 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. + +#ifndef DOUBLE_CONVERSION_FIXED_DTOA_H_ +#define DOUBLE_CONVERSION_FIXED_DTOA_H_ + +#include "utils.h" + +namespace double_conversion { + +// Produces digits necessary to print a given number with +// 'fractional_count' digits after the decimal point. +// The buffer must be big enough to hold the result plus one terminating null +// character. +// +// The produced digits might be too short in which case the caller has to fill +// the gaps with '0's. +// Example: FastFixedDtoa(0.001, 5, ...) is allowed to return buffer = "1", and +// decimal_point = -2. +// Halfway cases are rounded towards +/-Infinity (away from 0). The call +// FastFixedDtoa(0.15, 2, ...) thus returns buffer = "2", decimal_point = 0. +// The returned buffer may contain digits that would be truncated from the +// shortest representation of the input. +// +// This method only works for some parameters. If it can't handle the input it +// returns false. The output is null-terminated when the function succeeds. +bool FastFixedDtoa(double v, int fractional_count, + Vector buffer, int* length, int* decimal_point); + +} // namespace double_conversion + +#endif // DOUBLE_CONVERSION_FIXED_DTOA_H_ diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/ieee.h julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/ieee.h --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/ieee.h 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/ieee.h 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,398 @@ +// Copyright 2012 the V8 project authors. 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 Google Inc. 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. + +#ifndef DOUBLE_CONVERSION_DOUBLE_H_ +#define DOUBLE_CONVERSION_DOUBLE_H_ + +#include "diy-fp.h" + +namespace double_conversion { + +// We assume that doubles and uint64_t have the same endianness. +static uint64_t double_to_uint64(double d) { return BitCast(d); } +static double uint64_to_double(uint64_t d64) { return BitCast(d64); } +static uint32_t float_to_uint32(float f) { return BitCast(f); } +static float uint32_to_float(uint32_t d32) { return BitCast(d32); } + +// Helper functions for doubles. +class Double { + public: + static const uint64_t kSignMask = UINT64_2PART_C(0x80000000, 00000000); + static const uint64_t kExponentMask = UINT64_2PART_C(0x7FF00000, 00000000); + static const uint64_t kSignificandMask = UINT64_2PART_C(0x000FFFFF, FFFFFFFF); + static const uint64_t kHiddenBit = UINT64_2PART_C(0x00100000, 00000000); + static const int kPhysicalSignificandSize = 52; // Excludes the hidden bit. + static const int kSignificandSize = 53; + + Double() : d64_(0) {} + explicit Double(double d) : d64_(double_to_uint64(d)) {} + explicit Double(uint64_t d64) : d64_(d64) {} + explicit Double(DiyFp diy_fp) + : d64_(DiyFpToUint64(diy_fp)) {} + + // The value encoded by this Double must be greater or equal to +0.0. + // It must not be special (infinity, or NaN). + DiyFp AsDiyFp() const { + ASSERT(Sign() > 0); + ASSERT(!IsSpecial()); + return DiyFp(Significand(), Exponent()); + } + + // The value encoded by this Double must be strictly greater than 0. + DiyFp AsNormalizedDiyFp() const { + ASSERT(value() > 0.0); + uint64_t f = Significand(); + int e = Exponent(); + + // The current double could be a denormal. + while ((f & kHiddenBit) == 0) { + f <<= 1; + e--; + } + // Do the final shifts in one go. + f <<= DiyFp::kSignificandSize - kSignificandSize; + e -= DiyFp::kSignificandSize - kSignificandSize; + return DiyFp(f, e); + } + + // Returns the double's bit as uint64. + uint64_t AsUint64() const { + return d64_; + } + + // Returns the next greater double. Returns +infinity on input +infinity. + double NextDouble() const { + if (d64_ == kInfinity) return Double(kInfinity).value(); + if (Sign() < 0 && Significand() == 0) { + // -0.0 + return 0.0; + } + if (Sign() < 0) { + return Double(d64_ - 1).value(); + } else { + return Double(d64_ + 1).value(); + } + } + + double PreviousDouble() const { + if (d64_ == (kInfinity | kSignMask)) return -Double::Infinity(); + if (Sign() < 0) { + return Double(d64_ + 1).value(); + } else { + if (Significand() == 0) return -0.0; + return Double(d64_ - 1).value(); + } + } + + int Exponent() const { + if (IsDenormal()) return kDenormalExponent; + + uint64_t d64 = AsUint64(); + int biased_e = + static_cast((d64 & kExponentMask) >> kPhysicalSignificandSize); + return biased_e - kExponentBias; + } + + uint64_t Significand() const { + uint64_t d64 = AsUint64(); + uint64_t significand = d64 & kSignificandMask; + if (!IsDenormal()) { + return significand + kHiddenBit; + } else { + return significand; + } + } + + // Returns true if the double is a denormal. + bool IsDenormal() const { + uint64_t d64 = AsUint64(); + return (d64 & kExponentMask) == 0; + } + + // We consider denormals not to be special. + // Hence only Infinity and NaN are special. + bool IsSpecial() const { + uint64_t d64 = AsUint64(); + return (d64 & kExponentMask) == kExponentMask; + } + + bool IsNan() const { + uint64_t d64 = AsUint64(); + return ((d64 & kExponentMask) == kExponentMask) && + ((d64 & kSignificandMask) != 0); + } + + bool IsInfinite() const { + uint64_t d64 = AsUint64(); + return ((d64 & kExponentMask) == kExponentMask) && + ((d64 & kSignificandMask) == 0); + } + + int Sign() const { + uint64_t d64 = AsUint64(); + return (d64 & kSignMask) == 0? 1: -1; + } + + // Precondition: the value encoded by this Double must be greater or equal + // than +0.0. + DiyFp UpperBoundary() const { + ASSERT(Sign() > 0); + return DiyFp(Significand() * 2 + 1, Exponent() - 1); + } + + // Computes the two boundaries of this. + // The bigger boundary (m_plus) is normalized. The lower boundary has the same + // exponent as m_plus. + // Precondition: the value encoded by this Double must be greater than 0. + void NormalizedBoundaries(DiyFp* out_m_minus, DiyFp* out_m_plus) const { + ASSERT(value() > 0.0); + DiyFp v = this->AsDiyFp(); + DiyFp m_plus = DiyFp::Normalize(DiyFp((v.f() << 1) + 1, v.e() - 1)); + DiyFp m_minus; + if (LowerBoundaryIsCloser()) { + m_minus = DiyFp((v.f() << 2) - 1, v.e() - 2); + } else { + m_minus = DiyFp((v.f() << 1) - 1, v.e() - 1); + } + m_minus.set_f(m_minus.f() << (m_minus.e() - m_plus.e())); + m_minus.set_e(m_plus.e()); + *out_m_plus = m_plus; + *out_m_minus = m_minus; + } + + bool LowerBoundaryIsCloser() const { + // The boundary is closer if the significand is of the form f == 2^p-1 then + // the lower boundary is closer. + // Think of v = 1000e10 and v- = 9999e9. + // Then the boundary (== (v - v-)/2) is not just at a distance of 1e9 but + // at a distance of 1e8. + // The only exception is for the smallest normal: the largest denormal is + // at the same distance as its successor. + // Note: denormals have the same exponent as the smallest normals. + bool physical_significand_is_zero = ((AsUint64() & kSignificandMask) == 0); + return physical_significand_is_zero && (Exponent() != kDenormalExponent); + } + + double value() const { return uint64_to_double(d64_); } + + // Returns the significand size for a given order of magnitude. + // If v = f*2^e with 2^p-1 <= f <= 2^p then p+e is v's order of magnitude. + // This function returns the number of significant binary digits v will have + // once it's encoded into a double. In almost all cases this is equal to + // kSignificandSize. The only exceptions are denormals. They start with + // leading zeroes and their effective significand-size is hence smaller. + static int SignificandSizeForOrderOfMagnitude(int order) { + if (order >= (kDenormalExponent + kSignificandSize)) { + return kSignificandSize; + } + if (order <= kDenormalExponent) return 0; + return order - kDenormalExponent; + } + + static double Infinity() { + return Double(kInfinity).value(); + } + + static double NaN() { + return Double(kNaN).value(); + } + + private: + static const int kExponentBias = 0x3FF + kPhysicalSignificandSize; + static const int kDenormalExponent = -kExponentBias + 1; + static const int kMaxExponent = 0x7FF - kExponentBias; + static const uint64_t kInfinity = UINT64_2PART_C(0x7FF00000, 00000000); + static const uint64_t kNaN = UINT64_2PART_C(0x7FF80000, 00000000); + + const uint64_t d64_; + + static uint64_t DiyFpToUint64(DiyFp diy_fp) { + uint64_t significand = diy_fp.f(); + int exponent = diy_fp.e(); + while (significand > kHiddenBit + kSignificandMask) { + significand >>= 1; + exponent++; + } + if (exponent >= kMaxExponent) { + return kInfinity; + } + if (exponent < kDenormalExponent) { + return 0; + } + while (exponent > kDenormalExponent && (significand & kHiddenBit) == 0) { + significand <<= 1; + exponent--; + } + uint64_t biased_exponent; + if (exponent == kDenormalExponent && (significand & kHiddenBit) == 0) { + biased_exponent = 0; + } else { + biased_exponent = static_cast(exponent + kExponentBias); + } + return (significand & kSignificandMask) | + (biased_exponent << kPhysicalSignificandSize); + } +}; + +class Single { + public: + static const uint32_t kSignMask = 0x80000000; + static const uint32_t kExponentMask = 0x7F800000; + static const uint32_t kSignificandMask = 0x007FFFFF; + static const uint32_t kHiddenBit = 0x00800000; + static const int kPhysicalSignificandSize = 23; // Excludes the hidden bit. + static const int kSignificandSize = 24; + + Single() : d32_(0) {} + explicit Single(float f) : d32_(float_to_uint32(f)) {} + explicit Single(uint32_t d32) : d32_(d32) {} + + // The value encoded by this Single must be greater or equal to +0.0. + // It must not be special (infinity, or NaN). + DiyFp AsDiyFp() const { + ASSERT(Sign() > 0); + ASSERT(!IsSpecial()); + return DiyFp(Significand(), Exponent()); + } + + // Returns the single's bit as uint64. + uint32_t AsUint32() const { + return d32_; + } + + int Exponent() const { + if (IsDenormal()) return kDenormalExponent; + + uint32_t d32 = AsUint32(); + int biased_e = + static_cast((d32 & kExponentMask) >> kPhysicalSignificandSize); + return biased_e - kExponentBias; + } + + uint32_t Significand() const { + uint32_t d32 = AsUint32(); + uint32_t significand = d32 & kSignificandMask; + if (!IsDenormal()) { + return significand + kHiddenBit; + } else { + return significand; + } + } + + // Returns true if the single is a denormal. + bool IsDenormal() const { + uint32_t d32 = AsUint32(); + return (d32 & kExponentMask) == 0; + } + + // We consider denormals not to be special. + // Hence only Infinity and NaN are special. + bool IsSpecial() const { + uint32_t d32 = AsUint32(); + return (d32 & kExponentMask) == kExponentMask; + } + + bool IsNan() const { + uint32_t d32 = AsUint32(); + return ((d32 & kExponentMask) == kExponentMask) && + ((d32 & kSignificandMask) != 0); + } + + bool IsInfinite() const { + uint32_t d32 = AsUint32(); + return ((d32 & kExponentMask) == kExponentMask) && + ((d32 & kSignificandMask) == 0); + } + + int Sign() const { + uint32_t d32 = AsUint32(); + return (d32 & kSignMask) == 0? 1: -1; + } + + // Computes the two boundaries of this. + // The bigger boundary (m_plus) is normalized. The lower boundary has the same + // exponent as m_plus. + // Precondition: the value encoded by this Single must be greater than 0. + void NormalizedBoundaries(DiyFp* out_m_minus, DiyFp* out_m_plus) const { + ASSERT(value() > 0.0); + DiyFp v = this->AsDiyFp(); + DiyFp m_plus = DiyFp::Normalize(DiyFp((v.f() << 1) + 1, v.e() - 1)); + DiyFp m_minus; + if (LowerBoundaryIsCloser()) { + m_minus = DiyFp((v.f() << 2) - 1, v.e() - 2); + } else { + m_minus = DiyFp((v.f() << 1) - 1, v.e() - 1); + } + m_minus.set_f(m_minus.f() << (m_minus.e() - m_plus.e())); + m_minus.set_e(m_plus.e()); + *out_m_plus = m_plus; + *out_m_minus = m_minus; + } + + // Precondition: the value encoded by this Single must be greater or equal + // than +0.0. + DiyFp UpperBoundary() const { + ASSERT(Sign() > 0); + return DiyFp(Significand() * 2 + 1, Exponent() - 1); + } + + bool LowerBoundaryIsCloser() const { + // The boundary is closer if the significand is of the form f == 2^p-1 then + // the lower boundary is closer. + // Think of v = 1000e10 and v- = 9999e9. + // Then the boundary (== (v - v-)/2) is not just at a distance of 1e9 but + // at a distance of 1e8. + // The only exception is for the smallest normal: the largest denormal is + // at the same distance as its successor. + // Note: denormals have the same exponent as the smallest normals. + bool physical_significand_is_zero = ((AsUint32() & kSignificandMask) == 0); + return physical_significand_is_zero && (Exponent() != kDenormalExponent); + } + + float value() const { return uint32_to_float(d32_); } + + static float Infinity() { + return Single(kInfinity).value(); + } + + static float NaN() { + return Single(kNaN).value(); + } + + private: + static const int kExponentBias = 0x7F + kPhysicalSignificandSize; + static const int kDenormalExponent = -kExponentBias + 1; + static const int kMaxExponent = 0xFF - kExponentBias; + static const uint32_t kInfinity = 0x7F800000; + static const uint32_t kNaN = 0x7FC00000; + + const uint32_t d32_; +}; + +} // namespace double_conversion + +#endif // DOUBLE_CONVERSION_DOUBLE_H_ diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/SConscript julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/SConscript --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/SConscript 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/SConscript 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,12 @@ +# -*- coding: utf-8 -*- +double_conversion_sources = [ + 'bignum.cc', + 'bignum-dtoa.cc', + 'cached-powers.cc', + 'diy-fp.cc', + 'double-conversion.cc', + 'fast-dtoa.cc', + 'fixed-dtoa.cc', + 'strtod.cc' + ] +Return('double_conversion_sources') diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/strtod.cc julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/strtod.cc --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/strtod.cc 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/strtod.cc 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,554 @@ +// Copyright 2010 the V8 project authors. 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 Google Inc. 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. + +#include +#include + +#include "strtod.h" +#include "bignum.h" +#include "cached-powers.h" +#include "ieee.h" + +namespace double_conversion { + +// 2^53 = 9007199254740992. +// Any integer with at most 15 decimal digits will hence fit into a double +// (which has a 53bit significand) without loss of precision. +static const int kMaxExactDoubleIntegerDecimalDigits = 15; +// 2^64 = 18446744073709551616 > 10^19 +static const int kMaxUint64DecimalDigits = 19; + +// Max double: 1.7976931348623157 x 10^308 +// Min non-zero double: 4.9406564584124654 x 10^-324 +// Any x >= 10^309 is interpreted as +infinity. +// Any x <= 10^-324 is interpreted as 0. +// Note that 2.5e-324 (despite being smaller than the min double) will be read +// as non-zero (equal to the min non-zero double). +static const int kMaxDecimalPower = 309; +static const int kMinDecimalPower = -324; + +// 2^64 = 18446744073709551616 +static const uint64_t kMaxUint64 = UINT64_2PART_C(0xFFFFFFFF, FFFFFFFF); + + +static const double exact_powers_of_ten[] = { + 1.0, // 10^0 + 10.0, + 100.0, + 1000.0, + 10000.0, + 100000.0, + 1000000.0, + 10000000.0, + 100000000.0, + 1000000000.0, + 10000000000.0, // 10^10 + 100000000000.0, + 1000000000000.0, + 10000000000000.0, + 100000000000000.0, + 1000000000000000.0, + 10000000000000000.0, + 100000000000000000.0, + 1000000000000000000.0, + 10000000000000000000.0, + 100000000000000000000.0, // 10^20 + 1000000000000000000000.0, + // 10^22 = 0x21e19e0c9bab2400000 = 0x878678326eac9 * 2^22 + 10000000000000000000000.0 +}; +static const int kExactPowersOfTenSize = ARRAY_SIZE(exact_powers_of_ten); + +// Maximum number of significant digits in the decimal representation. +// In fact the value is 772 (see conversions.cc), but to give us some margin +// we round up to 780. +static const int kMaxSignificantDecimalDigits = 780; + +static Vector TrimLeadingZeros(Vector buffer) { + for (int i = 0; i < buffer.length(); i++) { + if (buffer[i] != '0') { + return buffer.SubVector(i, buffer.length()); + } + } + return Vector(buffer.start(), 0); +} + + +static Vector TrimTrailingZeros(Vector buffer) { + for (int i = buffer.length() - 1; i >= 0; --i) { + if (buffer[i] != '0') { + return buffer.SubVector(0, i + 1); + } + } + return Vector(buffer.start(), 0); +} + + +static void CutToMaxSignificantDigits(Vector buffer, + int exponent, + char* significant_buffer, + int* significant_exponent) { + for (int i = 0; i < kMaxSignificantDecimalDigits - 1; ++i) { + significant_buffer[i] = buffer[i]; + } + // The input buffer has been trimmed. Therefore the last digit must be + // different from '0'. + ASSERT(buffer[buffer.length() - 1] != '0'); + // Set the last digit to be non-zero. This is sufficient to guarantee + // correct rounding. + significant_buffer[kMaxSignificantDecimalDigits - 1] = '1'; + *significant_exponent = + exponent + (buffer.length() - kMaxSignificantDecimalDigits); +} + + +// Trims the buffer and cuts it to at most kMaxSignificantDecimalDigits. +// If possible the input-buffer is reused, but if the buffer needs to be +// modified (due to cutting), then the input needs to be copied into the +// buffer_copy_space. +static void TrimAndCut(Vector buffer, int exponent, + char* buffer_copy_space, int space_size, + Vector* trimmed, int* updated_exponent) { + Vector left_trimmed = TrimLeadingZeros(buffer); + Vector right_trimmed = TrimTrailingZeros(left_trimmed); + exponent += left_trimmed.length() - right_trimmed.length(); + if (right_trimmed.length() > kMaxSignificantDecimalDigits) { + ASSERT(space_size >= kMaxSignificantDecimalDigits); + CutToMaxSignificantDigits(right_trimmed, exponent, + buffer_copy_space, updated_exponent); + *trimmed = Vector(buffer_copy_space, + kMaxSignificantDecimalDigits); + } else { + *trimmed = right_trimmed; + *updated_exponent = exponent; + } +} + + +// Reads digits from the buffer and converts them to a uint64. +// Reads in as many digits as fit into a uint64. +// When the string starts with "1844674407370955161" no further digit is read. +// Since 2^64 = 18446744073709551616 it would still be possible read another +// digit if it was less or equal than 6, but this would complicate the code. +static uint64_t ReadUint64(Vector buffer, + int* number_of_read_digits) { + uint64_t result = 0; + int i = 0; + while (i < buffer.length() && result <= (kMaxUint64 / 10 - 1)) { + int digit = buffer[i++] - '0'; + ASSERT(0 <= digit && digit <= 9); + result = 10 * result + digit; + } + *number_of_read_digits = i; + return result; +} + + +// Reads a DiyFp from the buffer. +// The returned DiyFp is not necessarily normalized. +// If remaining_decimals is zero then the returned DiyFp is accurate. +// Otherwise it has been rounded and has error of at most 1/2 ulp. +static void ReadDiyFp(Vector buffer, + DiyFp* result, + int* remaining_decimals) { + int read_digits; + uint64_t significand = ReadUint64(buffer, &read_digits); + if (buffer.length() == read_digits) { + *result = DiyFp(significand, 0); + *remaining_decimals = 0; + } else { + // Round the significand. + if (buffer[read_digits] >= '5') { + significand++; + } + // Compute the binary exponent. + int exponent = 0; + *result = DiyFp(significand, exponent); + *remaining_decimals = buffer.length() - read_digits; + } +} + + +static bool DoubleStrtod(Vector trimmed, + int exponent, + double* result) { +#if !defined(DOUBLE_CONVERSION_CORRECT_DOUBLE_OPERATIONS) + // On x86 the floating-point stack can be 64 or 80 bits wide. If it is + // 80 bits wide (as is the case on Linux) then double-rounding occurs and the + // result is not accurate. + // We know that Windows32 uses 64 bits and is therefore accurate. + // Note that the ARM simulator is compiled for 32bits. It therefore exhibits + // the same problem. + return false; +#endif + if (trimmed.length() <= kMaxExactDoubleIntegerDecimalDigits) { + int read_digits; + // The trimmed input fits into a double. + // If the 10^exponent (resp. 10^-exponent) fits into a double too then we + // can compute the result-double simply by multiplying (resp. dividing) the + // two numbers. + // This is possible because IEEE guarantees that floating-point operations + // return the best possible approximation. + if (exponent < 0 && -exponent < kExactPowersOfTenSize) { + // 10^-exponent fits into a double. + *result = static_cast(ReadUint64(trimmed, &read_digits)); + ASSERT(read_digits == trimmed.length()); + *result /= exact_powers_of_ten[-exponent]; + return true; + } + if (0 <= exponent && exponent < kExactPowersOfTenSize) { + // 10^exponent fits into a double. + *result = static_cast(ReadUint64(trimmed, &read_digits)); + ASSERT(read_digits == trimmed.length()); + *result *= exact_powers_of_ten[exponent]; + return true; + } + int remaining_digits = + kMaxExactDoubleIntegerDecimalDigits - trimmed.length(); + if ((0 <= exponent) && + (exponent - remaining_digits < kExactPowersOfTenSize)) { + // The trimmed string was short and we can multiply it with + // 10^remaining_digits. As a result the remaining exponent now fits + // into a double too. + *result = static_cast(ReadUint64(trimmed, &read_digits)); + ASSERT(read_digits == trimmed.length()); + *result *= exact_powers_of_ten[remaining_digits]; + *result *= exact_powers_of_ten[exponent - remaining_digits]; + return true; + } + } + return false; +} + + +// Returns 10^exponent as an exact DiyFp. +// The given exponent must be in the range [1; kDecimalExponentDistance[. +static DiyFp AdjustmentPowerOfTen(int exponent) { + ASSERT(0 < exponent); + ASSERT(exponent < PowersOfTenCache::kDecimalExponentDistance); + // Simply hardcode the remaining powers for the given decimal exponent + // distance. + ASSERT(PowersOfTenCache::kDecimalExponentDistance == 8); + switch (exponent) { + case 1: return DiyFp(UINT64_2PART_C(0xa0000000, 00000000), -60); + case 2: return DiyFp(UINT64_2PART_C(0xc8000000, 00000000), -57); + case 3: return DiyFp(UINT64_2PART_C(0xfa000000, 00000000), -54); + case 4: return DiyFp(UINT64_2PART_C(0x9c400000, 00000000), -50); + case 5: return DiyFp(UINT64_2PART_C(0xc3500000, 00000000), -47); + case 6: return DiyFp(UINT64_2PART_C(0xf4240000, 00000000), -44); + case 7: return DiyFp(UINT64_2PART_C(0x98968000, 00000000), -40); + default: + UNREACHABLE(); + return DiyFp(0, 0); + } +} + + +// If the function returns true then the result is the correct double. +// Otherwise it is either the correct double or the double that is just below +// the correct double. +static bool DiyFpStrtod(Vector buffer, + int exponent, + double* result) { + DiyFp input; + int remaining_decimals; + ReadDiyFp(buffer, &input, &remaining_decimals); + // Since we may have dropped some digits the input is not accurate. + // If remaining_decimals is different than 0 than the error is at most + // .5 ulp (unit in the last place). + // We don't want to deal with fractions and therefore keep a common + // denominator. + const int kDenominatorLog = 3; + const int kDenominator = 1 << kDenominatorLog; + // Move the remaining decimals into the exponent. + exponent += remaining_decimals; + int error = (remaining_decimals == 0 ? 0 : kDenominator / 2); + + int old_e = input.e(); + input.Normalize(); + error <<= old_e - input.e(); + + ASSERT(exponent <= PowersOfTenCache::kMaxDecimalExponent); + if (exponent < PowersOfTenCache::kMinDecimalExponent) { + *result = 0.0; + return true; + } + DiyFp cached_power; + int cached_decimal_exponent; + PowersOfTenCache::GetCachedPowerForDecimalExponent(exponent, + &cached_power, + &cached_decimal_exponent); + + if (cached_decimal_exponent != exponent) { + int adjustment_exponent = exponent - cached_decimal_exponent; + DiyFp adjustment_power = AdjustmentPowerOfTen(adjustment_exponent); + input.Multiply(adjustment_power); + if (kMaxUint64DecimalDigits - buffer.length() >= adjustment_exponent) { + // The product of input with the adjustment power fits into a 64 bit + // integer. + ASSERT(DiyFp::kSignificandSize == 64); + } else { + // The adjustment power is exact. There is hence only an error of 0.5. + error += kDenominator / 2; + } + } + + input.Multiply(cached_power); + // The error introduced by a multiplication of a*b equals + // error_a + error_b + error_a*error_b/2^64 + 0.5 + // Substituting a with 'input' and b with 'cached_power' we have + // error_b = 0.5 (all cached powers have an error of less than 0.5 ulp), + // error_ab = 0 or 1 / kDenominator > error_a*error_b/ 2^64 + int error_b = kDenominator / 2; + int error_ab = (error == 0 ? 0 : 1); // We round up to 1. + int fixed_error = kDenominator / 2; + error += error_b + error_ab + fixed_error; + + old_e = input.e(); + input.Normalize(); + error <<= old_e - input.e(); + + // See if the double's significand changes if we add/subtract the error. + int order_of_magnitude = DiyFp::kSignificandSize + input.e(); + int effective_significand_size = + Double::SignificandSizeForOrderOfMagnitude(order_of_magnitude); + int precision_digits_count = + DiyFp::kSignificandSize - effective_significand_size; + if (precision_digits_count + kDenominatorLog >= DiyFp::kSignificandSize) { + // This can only happen for very small denormals. In this case the + // half-way multiplied by the denominator exceeds the range of an uint64. + // Simply shift everything to the right. + int shift_amount = (precision_digits_count + kDenominatorLog) - + DiyFp::kSignificandSize + 1; + input.set_f(input.f() >> shift_amount); + input.set_e(input.e() + shift_amount); + // We add 1 for the lost precision of error, and kDenominator for + // the lost precision of input.f(). + error = (error >> shift_amount) + 1 + kDenominator; + precision_digits_count -= shift_amount; + } + // We use uint64_ts now. This only works if the DiyFp uses uint64_ts too. + ASSERT(DiyFp::kSignificandSize == 64); + ASSERT(precision_digits_count < 64); + uint64_t one64 = 1; + uint64_t precision_bits_mask = (one64 << precision_digits_count) - 1; + uint64_t precision_bits = input.f() & precision_bits_mask; + uint64_t half_way = one64 << (precision_digits_count - 1); + precision_bits *= kDenominator; + half_way *= kDenominator; + DiyFp rounded_input(input.f() >> precision_digits_count, + input.e() + precision_digits_count); + if (precision_bits >= half_way + error) { + rounded_input.set_f(rounded_input.f() + 1); + } + // If the last_bits are too close to the half-way case than we are too + // inaccurate and round down. In this case we return false so that we can + // fall back to a more precise algorithm. + + *result = Double(rounded_input).value(); + if (half_way - error < precision_bits && precision_bits < half_way + error) { + // Too imprecise. The caller will have to fall back to a slower version. + // However the returned number is guaranteed to be either the correct + // double, or the next-lower double. + return false; + } else { + return true; + } +} + + +// Returns +// - -1 if buffer*10^exponent < diy_fp. +// - 0 if buffer*10^exponent == diy_fp. +// - +1 if buffer*10^exponent > diy_fp. +// Preconditions: +// buffer.length() + exponent <= kMaxDecimalPower + 1 +// buffer.length() + exponent > kMinDecimalPower +// buffer.length() <= kMaxDecimalSignificantDigits +static int CompareBufferWithDiyFp(Vector buffer, + int exponent, + DiyFp diy_fp) { + ASSERT(buffer.length() + exponent <= kMaxDecimalPower + 1); + ASSERT(buffer.length() + exponent > kMinDecimalPower); + ASSERT(buffer.length() <= kMaxSignificantDecimalDigits); + // Make sure that the Bignum will be able to hold all our numbers. + // Our Bignum implementation has a separate field for exponents. Shifts will + // consume at most one bigit (< 64 bits). + // ln(10) == 3.3219... + ASSERT(((kMaxDecimalPower + 1) * 333 / 100) < Bignum::kMaxSignificantBits); + Bignum buffer_bignum; + Bignum diy_fp_bignum; + buffer_bignum.AssignDecimalString(buffer); + diy_fp_bignum.AssignUInt64(diy_fp.f()); + if (exponent >= 0) { + buffer_bignum.MultiplyByPowerOfTen(exponent); + } else { + diy_fp_bignum.MultiplyByPowerOfTen(-exponent); + } + if (diy_fp.e() > 0) { + diy_fp_bignum.ShiftLeft(diy_fp.e()); + } else { + buffer_bignum.ShiftLeft(-diy_fp.e()); + } + return Bignum::Compare(buffer_bignum, diy_fp_bignum); +} + + +// Returns true if the guess is the correct double. +// Returns false, when guess is either correct or the next-lower double. +static bool ComputeGuess(Vector trimmed, int exponent, + double* guess) { + if (trimmed.length() == 0) { + *guess = 0.0; + return true; + } + if (exponent + trimmed.length() - 1 >= kMaxDecimalPower) { + *guess = Double::Infinity(); + return true; + } + if (exponent + trimmed.length() <= kMinDecimalPower) { + *guess = 0.0; + return true; + } + + if (DoubleStrtod(trimmed, exponent, guess) || + DiyFpStrtod(trimmed, exponent, guess)) { + return true; + } + if (*guess == Double::Infinity()) { + return true; + } + return false; +} + +double Strtod(Vector buffer, int exponent) { + char copy_buffer[kMaxSignificantDecimalDigits]; + Vector trimmed; + int updated_exponent; + TrimAndCut(buffer, exponent, copy_buffer, kMaxSignificantDecimalDigits, + &trimmed, &updated_exponent); + exponent = updated_exponent; + + double guess; + bool is_correct = ComputeGuess(trimmed, exponent, &guess); + if (is_correct) return guess; + + DiyFp upper_boundary = Double(guess).UpperBoundary(); + int comparison = CompareBufferWithDiyFp(trimmed, exponent, upper_boundary); + if (comparison < 0) { + return guess; + } else if (comparison > 0) { + return Double(guess).NextDouble(); + } else if ((Double(guess).Significand() & 1) == 0) { + // Round towards even. + return guess; + } else { + return Double(guess).NextDouble(); + } +} + +float Strtof(Vector buffer, int exponent) { + char copy_buffer[kMaxSignificantDecimalDigits]; + Vector trimmed; + int updated_exponent; + TrimAndCut(buffer, exponent, copy_buffer, kMaxSignificantDecimalDigits, + &trimmed, &updated_exponent); + exponent = updated_exponent; + + double double_guess; + bool is_correct = ComputeGuess(trimmed, exponent, &double_guess); + + float float_guess = static_cast(double_guess); + if (float_guess == double_guess) { + // This shortcut triggers for integer values. + return float_guess; + } + + // We must catch double-rounding. Say the double has been rounded up, and is + // now a boundary of a float, and rounds up again. This is why we have to + // look at previous too. + // Example (in decimal numbers): + // input: 12349 + // high-precision (4 digits): 1235 + // low-precision (3 digits): + // when read from input: 123 + // when rounded from high precision: 124. + // To do this we simply look at the neigbors of the correct result and see + // if they would round to the same float. If the guess is not correct we have + // to look at four values (since two different doubles could be the correct + // double). + + double double_next = Double(double_guess).NextDouble(); + double double_previous = Double(double_guess).PreviousDouble(); + + float f1 = static_cast(double_previous); + float f2 = float_guess; + float f3 = static_cast(double_next); + float f4; + if (is_correct) { + f4 = f3; + } else { + double double_next2 = Double(double_next).NextDouble(); + f4 = static_cast(double_next2); + } + ASSERT(f1 <= f2 && f2 <= f3 && f3 <= f4); + + // If the guess doesn't lie near a single-precision boundary we can simply + // return its float-value. + if (f1 == f4) { + return float_guess; + } + + ASSERT((f1 != f2 && f2 == f3 && f3 == f4) || + (f1 == f2 && f2 != f3 && f3 == f4) || + (f1 == f2 && f2 == f3 && f3 != f4)); + + // guess and next are the two possible canditates (in the same way that + // double_guess was the lower candidate for a double-precision guess). + float guess = f1; + float next = f4; + DiyFp upper_boundary; + if (guess == 0.0f) { + float min_float = 1e-45f; + upper_boundary = Double(static_cast(min_float) / 2).AsDiyFp(); + } else { + upper_boundary = Single(guess).UpperBoundary(); + } + int comparison = CompareBufferWithDiyFp(trimmed, exponent, upper_boundary); + if (comparison < 0) { + return guess; + } else if (comparison > 0) { + return next; + } else if ((Single(guess).Significand() & 1) == 0) { + // Round towards even. + return guess; + } else { + return next; + } +} + +} // namespace double_conversion diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/strtod.h julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/strtod.h --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/strtod.h 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/strtod.h 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,45 @@ +// Copyright 2010 the V8 project authors. 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 Google Inc. 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. + +#ifndef DOUBLE_CONVERSION_STRTOD_H_ +#define DOUBLE_CONVERSION_STRTOD_H_ + +#include "utils.h" + +namespace double_conversion { + +// The buffer must only contain digits in the range [0-9]. It must not +// contain a dot or a sign. It must not start with '0', and must not be empty. +double Strtod(Vector buffer, int exponent); + +// The buffer must only contain digits in the range [0-9]. It must not +// contain a dot or a sign. It must not start with '0', and must not be empty. +float Strtof(Vector buffer, int exponent); + +} // namespace double_conversion + +#endif // DOUBLE_CONVERSION_STRTOD_H_ diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/utils.h julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/utils.h --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/src/utils.h 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/src/utils.h 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,313 @@ +// Copyright 2010 the V8 project authors. 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 Google Inc. 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. + +#ifndef DOUBLE_CONVERSION_UTILS_H_ +#define DOUBLE_CONVERSION_UTILS_H_ + +#include +#include + +#include +#ifndef ASSERT +#define ASSERT(condition) (assert(condition)) +#endif +#ifndef UNIMPLEMENTED +#define UNIMPLEMENTED() (abort()) +#endif +#ifndef UNREACHABLE +#define UNREACHABLE() (abort()) +#endif + +// Double operations detection based on target architecture. +// Linux uses a 80bit wide floating point stack on x86. This induces double +// rounding, which in turn leads to wrong results. +// An easy way to test if the floating-point operations are correct is to +// evaluate: 89255.0/1e22. If the floating-point stack is 64 bits wide then +// the result is equal to 89255e-22. +// The best way to test this, is to create a division-function and to compare +// the output of the division with the expected result. (Inlining must be +// disabled.) +// On Linux,x86 89255e-22 != Div_double(89255.0/1e22) +#if defined(_M_X64) || defined(__x86_64__) || \ + defined(__ARMEL__) || defined(__avr32__) || \ + defined(__hppa__) || defined(__ia64__) || \ + defined(__mips__) || defined(__powerpc__) || \ + defined(__sparc__) || defined(__sparc) || defined(__s390__) || \ + defined(__SH4__) || defined(__alpha__) || \ + defined(_MIPS_ARCH_MIPS32R2) +#define DOUBLE_CONVERSION_CORRECT_DOUBLE_OPERATIONS 1 +#elif defined(_M_IX86) || defined(__i386__) || defined(__i386) +#if defined(_WIN32) +// Windows uses a 64bit wide floating point stack. +#define DOUBLE_CONVERSION_CORRECT_DOUBLE_OPERATIONS 1 +#else +#undef DOUBLE_CONVERSION_CORRECT_DOUBLE_OPERATIONS +#endif // _WIN32 +#else +#error Target architecture was not detected as supported by Double-Conversion. +#endif + + +#if defined(_WIN32) && !defined(__MINGW32__) + +typedef signed char int8_t; +typedef unsigned char uint8_t; +typedef short int16_t; // NOLINT +typedef unsigned short uint16_t; // NOLINT +typedef int int32_t; +typedef unsigned int uint32_t; +typedef __int64 int64_t; +typedef unsigned __int64 uint64_t; +// intptr_t and friends are defined in crtdefs.h through stdio.h. + +#else + +#include + +#endif + +// The following macro works on both 32 and 64-bit platforms. +// Usage: instead of writing 0x1234567890123456 +// write UINT64_2PART_C(0x12345678,90123456); +#define UINT64_2PART_C(a, b) (((static_cast(a) << 32) + 0x##b##u)) + + +// The expression ARRAY_SIZE(a) is a compile-time constant of type +// size_t which represents the number of elements of the given +// array. You should only use ARRAY_SIZE on statically allocated +// arrays. +#ifndef ARRAY_SIZE +#define ARRAY_SIZE(a) \ + ((sizeof(a) / sizeof(*(a))) / \ + static_cast(!(sizeof(a) % sizeof(*(a))))) +#endif + +// A macro to disallow the evil copy constructor and operator= functions +// This should be used in the private: declarations for a class +#ifndef DISALLOW_COPY_AND_ASSIGN +#define DISALLOW_COPY_AND_ASSIGN(TypeName) \ + TypeName(const TypeName&); \ + void operator=(const TypeName&) +#endif + +// A macro to disallow all the implicit constructors, namely the +// default constructor, copy constructor and operator= functions. +// +// This should be used in the private: declarations for a class +// that wants to prevent anyone from instantiating it. This is +// especially useful for classes containing only static methods. +#ifndef DISALLOW_IMPLICIT_CONSTRUCTORS +#define DISALLOW_IMPLICIT_CONSTRUCTORS(TypeName) \ + TypeName(); \ + DISALLOW_COPY_AND_ASSIGN(TypeName) +#endif + +namespace double_conversion { + +static const int kCharSize = sizeof(char); + +// Returns the maximum of the two parameters. +template +static T Max(T a, T b) { + return a < b ? b : a; +} + + +// Returns the minimum of the two parameters. +template +static T Min(T a, T b) { + return a < b ? a : b; +} + + +inline int StrLength(const char* string) { + size_t length = strlen(string); + ASSERT(length == static_cast(static_cast(length))); + return static_cast(length); +} + +// This is a simplified version of V8's Vector class. +template +class Vector { + public: + Vector() : start_(NULL), length_(0) {} + Vector(T* data, int length) : start_(data), length_(length) { + ASSERT(length == 0 || (length > 0 && data != NULL)); + } + + // Returns a vector using the same backing storage as this one, + // spanning from and including 'from', to but not including 'to'. + Vector SubVector(int from, int to) { + ASSERT(to <= length_); + ASSERT(from < to); + ASSERT(0 <= from); + return Vector(start() + from, to - from); + } + + // Returns the length of the vector. + int length() const { return length_; } + + // Returns whether or not the vector is empty. + bool is_empty() const { return length_ == 0; } + + // Returns the pointer to the start of the data in the vector. + T* start() const { return start_; } + + // Access individual vector elements - checks bounds in debug mode. + T& operator[](int index) const { + ASSERT(0 <= index && index < length_); + return start_[index]; + } + + T& first() { return start_[0]; } + + T& last() { return start_[length_ - 1]; } + + private: + T* start_; + int length_; +}; + + +// Helper class for building result strings in a character buffer. The +// purpose of the class is to use safe operations that checks the +// buffer bounds on all operations in debug mode. +class StringBuilder { + public: + StringBuilder(char* buffer, int size) + : buffer_(buffer, size), position_(0) { } + + ~StringBuilder() { if (!is_finalized()) Finalize(); } + + int size() const { return buffer_.length(); } + + // Get the current position in the builder. + int position() const { + ASSERT(!is_finalized()); + return position_; + } + + // Reset the position. + void Reset() { position_ = 0; } + + // Add a single character to the builder. It is not allowed to add + // 0-characters; use the Finalize() method to terminate the string + // instead. + void AddCharacter(char c) { + ASSERT(c != '\0'); + ASSERT(!is_finalized() && position_ < buffer_.length()); + buffer_[position_++] = c; + } + + // Add an entire string to the builder. Uses strlen() internally to + // compute the length of the input string. + void AddString(const char* s) { + AddSubstring(s, StrLength(s)); + } + + // Add the first 'n' characters of the given string 's' to the + // builder. The input string must have enough characters. + void AddSubstring(const char* s, int n) { + ASSERT(!is_finalized() && position_ + n < buffer_.length()); + ASSERT(static_cast(n) <= strlen(s)); + memmove(&buffer_[position_], s, n * kCharSize); + position_ += n; + } + + + // Add character padding to the builder. If count is non-positive, + // nothing is added to the builder. + void AddPadding(char c, int count) { + for (int i = 0; i < count; i++) { + AddCharacter(c); + } + } + + // Finalize the string by 0-terminating it and returning the buffer. + char* Finalize() { + ASSERT(!is_finalized() && position_ < buffer_.length()); + buffer_[position_] = '\0'; + // Make sure nobody managed to add a 0-character to the + // buffer while building the string. + ASSERT(strlen(buffer_.start()) == static_cast(position_)); + position_ = -1; + ASSERT(is_finalized()); + return buffer_.start(); + } + + private: + Vector buffer_; + int position_; + + bool is_finalized() const { return position_ < 0; } + + DISALLOW_IMPLICIT_CONSTRUCTORS(StringBuilder); +}; + +// The type-based aliasing rule allows the compiler to assume that pointers of +// different types (for some definition of different) never alias each other. +// Thus the following code does not work: +// +// float f = foo(); +// int fbits = *(int*)(&f); +// +// The compiler 'knows' that the int pointer can't refer to f since the types +// don't match, so the compiler may cache f in a register, leaving random data +// in fbits. Using C++ style casts makes no difference, however a pointer to +// char data is assumed to alias any other pointer. This is the 'memcpy +// exception'. +// +// Bit_cast uses the memcpy exception to move the bits from a variable of one +// type of a variable of another type. Of course the end result is likely to +// be implementation dependent. Most compilers (gcc-4.2 and MSVC 2005) +// will completely optimize BitCast away. +// +// There is an additional use for BitCast. +// Recent gccs will warn when they see casts that may result in breakage due to +// the type-based aliasing rule. If you have checked that there is no breakage +// you can use BitCast to cast one pointer type to another. This confuses gcc +// enough that it can no longer see that you have cast one pointer type to +// another thus avoiding the warning. +template +inline Dest BitCast(const Source& source) { + // Compile time assertion: sizeof(Dest) == sizeof(Source) + // A compile error here means your Dest and Source have different sizes. + typedef char VerifySizesAreEqual[sizeof(Dest) == sizeof(Source) ? 1 : -1]; + + Dest dest; + memmove(&dest, &source, sizeof(dest)); + return dest; +} + +template +inline Dest BitCast(Source* source) { + return BitCast(reinterpret_cast(source)); +} + +} // namespace double_conversion + +#endif // DOUBLE_CONVERSION_UTILS_H_ diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/test/cctest/cctest.cc julia-0.2.1~quantal7/deps/double-conversion-1.1.1/test/cctest/cctest.cc --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/test/cctest/cctest.cc 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/test/cctest/cctest.cc 2014-02-19 10:15:08.000000000 +0000 @@ -0,0 +1,122 @@ +// Copyright 2008 the V8 project authors. 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 Google Inc. 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. + +#include "cctest.h" +#include +#include +#include + + +CcTest* CcTest::last_ = NULL; + + +CcTest::CcTest(TestFunction* callback, const char* file, const char* name, + const char* dependency, bool enabled) + : callback_(callback), name_(name), dependency_(dependency), prev_(last_) { + // Find the base name of this test (const_cast required on Windows). + char *basename = strrchr(const_cast(file), '/'); + if (!basename) { + basename = strrchr(const_cast(file), '\\'); + } + if (!basename) { + basename = strdup(file); + } else { + basename = strdup(basename + 1); + } + // Drop the extension, if there is one. + char *extension = strrchr(basename, '.'); + if (extension) *extension = 0; + // Install this test in the list of tests + file_ = basename; + enabled_ = enabled; + prev_ = last_; + last_ = this; +} + + +static void PrintTestList(CcTest* current) { + if (current == NULL) return; + PrintTestList(current->prev()); + if (current->dependency() != NULL) { + printf("%s/%s<%s\n", + current->file(), current->name(), current->dependency()); + } else { + printf("%s/%s<\n", current->file(), current->name()); + } +} + + +int main(int argc, char* argv[]) { + int tests_run = 0; + bool print_run_count = true; + for (int i = 1; i < argc; i++) { + char* arg = argv[i]; + if (strcmp(arg, "--list") == 0) { + PrintTestList(CcTest::last()); + print_run_count = false; + + } else { + char* arg_copy = strdup(arg); + char* testname = strchr(arg_copy, '/'); + if (testname) { + // Split the string in two by nulling the slash and then run + // exact matches. + *testname = 0; + char* file = arg_copy; + char* name = testname + 1; + CcTest* test = CcTest::last(); + while (test != NULL) { + if (test->enabled() + && strcmp(test->file(), file) == 0 + && strcmp(test->name(), name) == 0) { + test->Run(); + tests_run++; + } + test = test->prev(); + } + + } else { + // Run all tests with the specified file or test name. + char* file_or_name = arg_copy; + CcTest* test = CcTest::last(); + while (test != NULL) { + if (test->enabled() + && (strcmp(test->file(), file_or_name) == 0 + || strcmp(test->name(), file_or_name) == 0)) { + test->Run(); + tests_run++; + } + test = test->prev(); + } + } + delete[] arg_copy; + } + } + if (print_run_count && tests_run != 1) + printf("Ran %i tests.\n", tests_run); + return 0; +} diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/test/cctest/checks.h julia-0.2.1~quantal7/deps/double-conversion-1.1.1/test/cctest/checks.h --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/test/cctest/checks.h 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/test/cctest/checks.h 2014-02-19 10:15:08.000000000 +0000 @@ -0,0 +1,314 @@ +// Copyright 2006-2008 the V8 project authors. 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 Google Inc. 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. + +#ifndef V8_CHECKS_H_ +#define V8_CHECKS_H_ + +#include + +#include "flags.h" + +extern "C" void V8_Fatal(const char* file, int line, const char* format, ...); +void API_Fatal(const char* location, const char* format, ...); + +// The FATAL, UNREACHABLE and UNIMPLEMENTED macros are useful during +// development, but they should not be relied on in the final product. +#ifdef DEBUG +#define FATAL(msg) \ + V8_Fatal(__FILE__, __LINE__, "%s", (msg)) +#define UNIMPLEMENTED() \ + V8_Fatal(__FILE__, __LINE__, "unimplemented code") +#define UNREACHABLE() \ + V8_Fatal(__FILE__, __LINE__, "unreachable code") +#else +#define FATAL(msg) \ + V8_Fatal("", 0, "%s", (msg)) +#define UNIMPLEMENTED() \ + V8_Fatal("", 0, "unimplemented code") +#define UNREACHABLE() ((void) 0) +#endif + + +// Used by the CHECK macro -- should not be called directly. +static inline void CheckHelper(const char* file, + int line, + const char* source, + bool condition) { + if (!condition) + V8_Fatal(file, line, "CHECK(%s) failed", source); +} + + +// The CHECK macro checks that the given condition is true; if not, it +// prints a message to stderr and aborts. +#define CHECK(condition) CheckHelper(__FILE__, __LINE__, #condition, condition) + + +// Helper function used by the CHECK_EQ function when given int +// arguments. Should not be called directly. +static inline void CheckEqualsHelper(const char* file, int line, + const char* expected_source, int expected, + const char* value_source, int value) { + if (expected != value) { + V8_Fatal(file, line, + "CHECK_EQ(%s, %s) failed\n# Expected: %i\n# Found: %i", + expected_source, value_source, expected, value); + } +} + + +// Helper function used by the CHECK_EQ function when given int64_t +// arguments. Should not be called directly. +static inline void CheckEqualsHelper(const char* file, int line, + const char* expected_source, + int64_t expected, + const char* value_source, + int64_t value) { + if (expected != value) { + // Print int64_t values in hex, as two int32s, + // to avoid platform-dependencies. + V8_Fatal(file, line, + "CHECK_EQ(%s, %s) failed\n#" + " Expected: 0x%08x%08x\n# Found: 0x%08x%08x", + expected_source, value_source, + static_cast(expected >> 32), + static_cast(expected), + static_cast(value >> 32), + static_cast(value)); + } +} + + +// Helper function used by the CHECK_NE function when given int +// arguments. Should not be called directly. +static inline void CheckNonEqualsHelper(const char* file, + int line, + const char* unexpected_source, + int unexpected, + const char* value_source, + int value) { + if (unexpected == value) { + V8_Fatal(file, line, "CHECK_NE(%s, %s) failed\n# Value: %i", + unexpected_source, value_source, value); + } +} + + +// Helper function used by the CHECK function when given string +// arguments. Should not be called directly. +static inline void CheckEqualsHelper(const char* file, + int line, + const char* expected_source, + const char* expected, + const char* value_source, + const char* value) { + if ((expected == NULL && value != NULL) || + (expected != NULL && value == NULL) || + (expected != NULL && value != NULL && strcmp(expected, value) != 0)) { + V8_Fatal(file, line, + "CHECK_EQ(%s, %s) failed\n# Expected: %s\n# Found: %s", + expected_source, value_source, expected, value); + } +} + + +static inline void CheckNonEqualsHelper(const char* file, + int line, + const char* expected_source, + const char* expected, + const char* value_source, + const char* value) { + if (expected == value || + (expected != NULL && value != NULL && strcmp(expected, value) == 0)) { + V8_Fatal(file, line, "CHECK_NE(%s, %s) failed\n# Value: %s", + expected_source, value_source, value); + } +} + + +// Helper function used by the CHECK function when given pointer +// arguments. Should not be called directly. +static inline void CheckEqualsHelper(const char* file, + int line, + const char* expected_source, + const void* expected, + const char* value_source, + const void* value) { + if (expected != value) { + V8_Fatal(file, line, + "CHECK_EQ(%s, %s) failed\n# Expected: %p\n# Found: %p", + expected_source, value_source, + expected, value); + } +} + + +static inline void CheckNonEqualsHelper(const char* file, + int line, + const char* expected_source, + const void* expected, + const char* value_source, + const void* value) { + if (expected == value) { + V8_Fatal(file, line, "CHECK_NE(%s, %s) failed\n# Value: %p", + expected_source, value_source, value); + } +} + + +// Helper function used by the CHECK function when given floating +// point arguments. Should not be called directly. +static inline void CheckEqualsHelper(const char* file, + int line, + const char* expected_source, + double expected, + const char* value_source, + double value) { + // Force values to 64 bit memory to truncate 80 bit precision on IA32. + volatile double* exp = new double[1]; + *exp = expected; + volatile double* val = new double[1]; + *val = value; + if (*exp != *val) { + V8_Fatal(file, line, + "CHECK_EQ(%s, %s) failed\n# Expected: %f\n# Found: %f", + expected_source, value_source, *exp, *val); + } + delete[] exp; + delete[] val; +} + + +static inline void CheckNonEqualsHelper(const char* file, + int line, + const char* expected_source, + double expected, + const char* value_source, + double value) { + // Force values to 64 bit memory to truncate 80 bit precision on IA32. + volatile double* exp = new double[1]; + *exp = expected; + volatile double* val = new double[1]; + *val = value; + if (*exp == *val) { + V8_Fatal(file, line, + "CHECK_NE(%s, %s) failed\n# Value: %f", + expected_source, value_source, *val); + } + delete[] exp; + delete[] val; +} + + +namespace v8 { + class Value; + template class Handle; +} + + +void CheckNonEqualsHelper(const char* file, + int line, + const char* unexpected_source, + v8::Handle unexpected, + const char* value_source, + v8::Handle value); + + +void CheckEqualsHelper(const char* file, + int line, + const char* expected_source, + v8::Handle expected, + const char* value_source, + v8::Handle value); + + +#define CHECK_EQ(expected, value) CheckEqualsHelper(__FILE__, __LINE__, \ + #expected, expected, #value, value) + + +#define CHECK_NE(unexpected, value) CheckNonEqualsHelper(__FILE__, __LINE__, \ + #unexpected, unexpected, #value, value) + + +#define CHECK_GT(a, b) CHECK((a) > (b)) +#define CHECK_GE(a, b) CHECK((a) >= (b)) + + +// This is inspired by the static assertion facility in boost. This +// is pretty magical. If it causes you trouble on a platform you may +// find a fix in the boost code. +template class StaticAssertion; +template <> class StaticAssertion { }; +// This macro joins two tokens. If one of the tokens is a macro the +// helper call causes it to be resolved before joining. +#define SEMI_STATIC_JOIN(a, b) SEMI_STATIC_JOIN_HELPER(a, b) +#define SEMI_STATIC_JOIN_HELPER(a, b) a##b +// Causes an error during compilation of the condition is not +// statically known to be true. It is formulated as a typedef so that +// it can be used wherever a typedef can be used. Beware that this +// actually causes each use to introduce a new defined type with a +// name depending on the source line. +template class StaticAssertionHelper { }; +#define STATIC_CHECK(test) \ + typedef \ + StaticAssertionHelper(test)>)> \ + SEMI_STATIC_JOIN(__StaticAssertTypedef__, __LINE__) + + +// The ASSERT macro is equivalent to CHECK except that it only +// generates code in debug builds. +#ifdef DEBUG +#define ASSERT_RESULT(expr) CHECK(expr) +#define ASSERT(condition) CHECK(condition) +#define ASSERT_EQ(v1, v2) CHECK_EQ(v1, v2) +#define ASSERT_NE(v1, v2) CHECK_NE(v1, v2) +#define ASSERT_GE(v1, v2) CHECK_GE(v1, v2) +#define SLOW_ASSERT(condition) if (FLAG_enable_slow_asserts) CHECK(condition) +#else +#define ASSERT_RESULT(expr) (expr) +#define ASSERT(condition) ((void) 0) +#define ASSERT_EQ(v1, v2) ((void) 0) +#define ASSERT_NE(v1, v2) ((void) 0) +#define ASSERT_GE(v1, v2) ((void) 0) +#define SLOW_ASSERT(condition) ((void) 0) +#endif +// Static asserts has no impact on runtime performance, so they can be +// safely enabled in release mode. Moreover, the ((void) 0) expression +// obeys different syntax rules than typedef's, e.g. it can't appear +// inside class declaration, this leads to inconsistency between debug +// and release compilation modes behaviour. +#define STATIC_ASSERT(test) STATIC_CHECK(test) + + +#define ASSERT_TAG_ALIGNED(address) \ + ASSERT((reinterpret_cast(address) & kHeapObjectTagMask) == 0) + +#define ASSERT_SIZE_TAG_ALIGNED(size) ASSERT((size & kHeapObjectTagMask) == 0) + +#define ASSERT_NOT_NULL(p) ASSERT_NE(NULL, p) + +#endif // V8_CHECKS_H_ diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/test/cctest/gay-fixed.cc julia-0.2.1~quantal7/deps/double-conversion-1.1.1/test/cctest/gay-fixed.cc --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/test/cctest/gay-fixed.cc 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/test/cctest/gay-fixed.cc 2014-02-19 10:15:08.000000000 +0000 @@ -0,0 +1,100048 @@ +// Copyright 2010 the V8 project authors. 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 Google Inc. 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. + +// This file contains 100.000 decimal representations of random doubles. They +// have been generated using Gay's dtoa to produce the fixed representation: +// dtoa(v, 3, number_digits, &decimal_point, &sign, NULL); + +#include "utils.h" + +#include "gay-fixed.h" + +namespace double_conversion { + +static const PrecomputedFixed kFixedTestNumbers[] = { + {3.3831671815188012695312500e+12, 2, "33831671815188", 13}, + {6.6336520115995179509212087e-08, 13, "663365", -7}, + {9.5272682545672953764716918e-12, 12, "1", -10}, + {4.9841402988132226055635983e-17, 18, "5", -16}, + {5.5567065195971976208966225e+04, 10, "55567065195972", 5}, + {4.9104496948979206577675857e-06, 16, "49104496949", -5}, + {3.3201849526148178100585938e+10, 15, "33201849526148178100585938", 11}, + {1.0763823300509811087977141e+05, 5, "10763823301", 6}, + {5.7566658010014374078778435e-21, 7, "", -7}, + {4.4522053704113441692420585e-22, 11, "", -11}, + {2.9987655603737279307097197e+05, 7, "2998765560374", 6}, + {4.8003206570135421886612002e-22, 2, "", -2}, + {3.5264274092038518750000000e+14, 3, "352642740920385188", 15}, + {1.7950381905756516482839877e-06, 5, "", -5}, + {1.5223827362137477393844165e+04, 19, "152238273621374773938442", 5}, + {6.9000318153219332254467145e-25, 0, "", 0}, + {1.7189048239317447630547520e-01, 17, "17189048239317448", 0}, + {6.3839563615044511854648590e+07, 12, "63839563615044511855", 8}, + {9.1193616301674545152000000e+19, 0, "91193616301674545152", 20}, + {3.8742733030609424531576224e+03, 14, "387427330306094245", 4}, + {2.9632075676930808341943013e-16, 13, "", -13}, + {1.0214690802570292136458585e-03, 1, "", -1}, + {1.2002490160553595699200000e+20, 11, "120024901605535956992", 21}, + {1.2532714671596547392068421e-03, 15, "125327146716", -2}, + {5.5607379380725792307349389e-18, 6, "", -6}, + {1.0906117333419780000000000e+16, 18, "1090611733341978", 17}, + {2.5283417241664493934893199e-22, 6, "", -6}, + {3.6174597185439385817340239e-12, 5, "", -5}, + {2.7264001074276206986698439e-16, 18, "273", -15}, + {5.4516442391198194827293386e-23, 11, "", -11}, + {3.7960824607766062761653904e-12, 10, "", -10}, + {3.9237910537314860871315020e-20, 11, "", -11}, + {7.5599098753701514521530572e-06, 10, "75599", -5}, + {9.5479706420957142967015363e-05, 2, "", -2}, + {2.2408351583231838149748279e-12, 0, "", 0}, + {2.1213945654234204503946545e-14, 5, "", -5}, + {3.0134079464150507428592409e-25, 20, "", -20}, + {5.4040956719115788800000000e+17, 10, "540409567191157888", 18}, + {1.9473073693308637605405601e-10, 16, "1947307", -9}, + {4.1501939700379796326160431e+07, 6, "4150193970038", 8}, + {3.4608659167475043332007356e-05, 10, "346087", -4}, + {2.8901046914596528529214133e-06, 11, "28901", -5}, + {2.2917399895460568631695837e-24, 4, "", -4}, + {1.4190629332123970380052924e+05, 2, "14190629", 6}, + {3.5270798938471071464452046e-24, 7, "", -7}, + {1.4206078795880712000000000e+17, 8, "14206078795880712", 18}, + {4.5281297678439813120000000e+18, 6, "4528129767843981312", 19}, + {3.1224513642477845954022186e-05, 10, "312245", -4}, + {4.8184662102767651659096515e-04, 19, "4818466210276765", -3}, + {2.3994634581213830680848642e-05, 5, "2", -4}, + {8.8542098092391940955536711e-02, 18, "88542098092391941", -1}, + {5.3723698087028667187200000e+20, 18, "537236980870286671872", 21}, + {1.4124481890311051874892408e-05, 13, "141244819", -4}, + {1.2560868646257232157234815e-08, 2, "", -2}, + {3.2969008954989711360000000e+18, 3, "3296900895498971136", 19}, + {1.2897899252746862617333836e-11, 14, "129", -10}, + {1.5851808323022507871829358e-24, 18, "", -18}, + {3.6044438440996938152238727e+05, 13, "3604443844099693815", 6}, + {7.3834019095011149680374274e-01, 15, "738340190950111", 0}, + {1.8534457765231180800000000e+18, 0, "185344577652311808", 19}, + {1.3036086798096085555602984e-14, 5, "", -5}, + {6.8366806754097264640000000e+18, 20, "6836680675409726464", 19}, + {1.8097184247068291443049085e-09, 6, "", -6}, + {1.7217755406130052309794443e-15, 20, "172178", -14}, + {3.5882578140235449704223259e-24, 15, "", -15}, + 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{6.7558372507585678249597549e+06, 12, "6755837250758567825", 7}, + {3.6102487311934919357299805e+09, 3, "3610248731193", 10}, + {2.0965234046103086080000000e+18, 18, "2096523404610308608", 19}, + {7.2856847718741521296219957e-22, 0, "", 0}, + {1.9434756238946717977523804e+08, 14, "19434756238946717977524", 9}, + {9.4949259896321910739555291e-23, 2, "", -2}, + {4.6028580947997540938549799e-19, 15, "", -15}, + {1.4897739822827594480258995e+02, 16, "1489773982282759448", 3}, + {1.6315078241004499077019849e-12, 16, "16315", -11}, + {3.1263393678455169144569936e+00, 13, "31263393678455", 1}, + {4.3874718086398006056723204e-08, 3, "", -3}, + {3.2209040837758830828293049e-19, 14, "", -14}, + {1.4072075938237834000000000e+16, 5, "14072075938237834", 17}, + {7.0252894256886289889611273e-12, 1, "", -1}, + {1.3307169885956427734375000e+13, 11, "13307169885956427734375", 14}, + {2.7277073940024409600000000e+17, 3, "272770739400244096", 18}, + {9.7014921758320181248000000e+19, 8, "97014921758320181248", 20}, + {8.4093662781651325225830078e+09, 3, "8409366278165", 10}, + {6.5561363655029965837356761e-15, 4, "", -4}, + {5.1122705669083641842007637e+06, 14, "51122705669083641842", 7}, + {4.2968395614883668660877181e-04, 20, "42968395614883669", -3}, + {5.5009539681934773437500000e+13, 14, "550095396819347734375", 14}, + {9.9733057263115890145321885e-02, 5, "9973", -1}, + {8.3153747001556551680000000e+18, 8, "8315374700155655168", 19}, + {1.9252509444072784000000000e+17, 15, "19252509444072784", 18}, + {9.5195441261181424000000000e+16, 18, "95195441261181424", 17}, + {1.3504782520496280892848546e-08, 9, "14", -7}, + {2.3369878301626371808197291e+01, 16, "233698783016263718", 2}, + {8.5018713238504484142055162e-01, 5, "85019", 0}, + {1.8505424786763688871360500e+02, 17, "18505424786763688871", 3}, + {3.1864943512251304427642523e-05, 7, "319", -4}, + {1.2032662669210714057044243e+02, 10, "1203266266921", 3}, + {1.4429121855621901154518127e+08, 18, "144291218556219011545181274", 9}, + {2.5590651407827647023651707e-01, 2, "26", 0}, + {2.1259185977212929687500000e+13, 8, "212591859772129296875", 14}, + {2.2063909709172622844495347e-11, 0, "", 0}, + {6.5971978793697311401367188e+10, 12, "65971978793697311401367", 11}, + {8.6101197776566766744168223e-12, 1, "", -1}, + {8.7599819953516880377597647e-15, 19, "876", -14}, + {4.3816043049617350319427175e-10, 3, "", -3}, + {9.8900327261025808289751637e-02, 11, "9890032726", -1}, + {1.6221169215173479628800000e+20, 4, "162211692151734796288", 21}, + {8.6167823476390767123293685e-19, 1, "", -1}, + {1.1991185678186528947701874e-09, 7, "", -7}, + {3.1376625295340196129651963e-07, 4, "", -4}, + {2.3324993260238179937005043e+05, 4, "2332499326", 6}, + {2.2206655423290118989143593e+01, 10, "222066554233", 2}, + {4.0817248480368499113620298e-06, 7, "41", -5}, + {5.6068377938154188450425863e+05, 16, "5606837793815418845043", 6}, + {1.3101886996255500000000000e+15, 20, "131018869962555", 16}, + {5.5412666501436381830325138e-15, 8, "", -8}, + {6.0860616059447387695312500e+11, 10, "6086061605944738769531", 12}, + {1.1931968080805419936881671e-15, 15, "1", -14}, + {1.3019868110644756234250963e+05, 18, "13019868110644756234251", 6}, + {1.4419383643934298582978089e-25, 20, "", -20}, + {1.6160710441377192612966152e-03, 14, "161607104414", -2}, + {2.1778092432706362160388380e+04, 10, "217780924327064", 5}, + {1.0313398343488691333612342e-09, 7, "", -7}, + {4.3355039445381818750000000e+14, 16, "4335503944538181875", 15}, + {5.6045280055328343750000000e+13, 16, "5604528005532834375", 14}, + {7.3821595702851938725075343e+00, 14, "738215957028519", 1}, + {5.0362374322942441406250000e+12, 17, "5036237432294244140625", 13}, + {5.2021887005283124438275902e-14, 19, "520219", -13}, + {1.2410385941477457165406817e-18, 17, "", -17}, + {9.4128359696297925425826584e-07, 15, "941283597", -6}, + {1.8209753351049137115478516e+09, 16, "18209753351049137115478516", 10} +}; + + +Vector PrecomputedFixedRepresentations() { + int number_elements = sizeof(kFixedTestNumbers) / sizeof(PrecomputedFixed); + return Vector(kFixedTestNumbers, number_elements); +} + + +} // namespace double_conversion diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/test/cctest/gay-fixed.h julia-0.2.1~quantal7/deps/double-conversion-1.1.1/test/cctest/gay-fixed.h --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/test/cctest/gay-fixed.h 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/test/cctest/gay-fixed.h 2014-02-19 10:15:08.000000000 +0000 @@ -0,0 +1,46 @@ +// Copyright 2006-2008 the V8 project authors. 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 Google Inc. 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. + +#ifndef GAY_FIXED_H_ +#define GAY_FIXED_H_ + +namespace double_conversion { + +struct PrecomputedFixed { + double v; + int number_digits; + const char* representation; + int decimal_point; +}; + +// Returns precomputed values of dtoa. The strings have been generated using +// Gay's dtoa in mode "fixed". +Vector PrecomputedFixedRepresentations(); + +} // namespace double_conversion + +#endif // GAY_FIXED_H_ diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/test/cctest/gay-precision.cc julia-0.2.1~quantal7/deps/double-conversion-1.1.1/test/cctest/gay-precision.cc --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/test/cctest/gay-precision.cc 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/test/cctest/gay-precision.cc 2014-02-19 10:15:08.000000000 +0000 @@ -0,0 +1,100049 @@ +// Copyright 2010 the V8 project authors. 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 Google Inc. 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. + +// This file contains 100.000 decimal representations of random doubles. They +// have been generated using Gay's dtoa to produce the precision representation: +// dtoa(v, 2, number_digits, &decimal_point, &sign, NULL); + +#include "utils.h" + +#include "gay-precision.h" + +namespace double_conversion { + +static const PrecomputedPrecision kPrecisionTestNumbers[] = { + {2.3024669636324308799278094e-83, 2, "23", -82}, + {1.2271034538374108029704385e+193, 17, "12271034538374108", 194}, + {1.9542561068988380481160711e+57, 10, "1954256107", 58}, + {4.0276324163778515192788466e-51, 8, "40276324", -50}, + {1.6914540254705166587262553e+102, 1, "2", 103}, + {7.6532541187326505614920874e+288, 20, "76532541187326505615", 289}, + {1.6567575133729817467289600e+23, 7, "1656758", 24}, + {6.3103204323996751932168403e-133, 14, "63103204323997", -132}, + {1.0472244069221818664582672e+169, 18, "104722440692218187", 170}, + {5.8195110602236590512695494e-298, 5, "58195", -297}, + {2.7233724244078238914410514e-56, 4, "2723", -55}, + {1.1924206821150524667712989e+122, 11, "11924206821", 123}, + {2.2261125060557557215910356e-269, 16, "2226112506055756", -268}, + {6.1889134327848623559372550e+67, 1, "6", 68}, + {1.5892233500643144375443996e-180, 12, "158922335006", -179}, + {3.6875321366835632698755802e+270, 17, "36875321366835633", 271}, + {2.3733845667315735338541208e+126, 9, "237338457", 127}, + {7.2670588501169592001027554e-53, 10, "726705885", -52}, + {4.9170455970883548626879892e-254, 13, "4917045597088", -253}, + {1.7981440481396788747093341e+135, 7, "1798144", 136}, + {4.1430797302555728231073948e-61, 6, "414308", -60}, + {5.3114308918428753258922370e+02, 17, "53114308918428753", 3}, + {7.9500621669844508713374803e+181, 15, "795006216698445", 182}, + {6.7617200906902767279304861e+261, 17, "67617200906902767", 262}, + {2.9307289920694830357794235e-165, 14, "29307289920695", -164}, + {1.7952648452345714728710963e+26, 13, "1795264845235", 27}, + {2.0083953360749408782218564e+130, 7, "2008395", 131}, + {4.2916111728112377929687500e+12, 14, "42916111728112", 13}, + {1.9928689004455980385166824e+254, 18, "199286890044559804", 255}, + {2.1123625338612581706154704e+225, 13, "2112362533861", 226}, + {4.8830731273424825138651316e+295, 3, "488", 296}, + {1.2191652349903613301670223e+266, 14, "12191652349904", 267}, + {3.6999315668495149604649834e-32, 19, "369993156684951496", -31}, + {1.5188088672905016683742083e-61, 21, "151880886729050166837", -60}, + {2.9348630805280859767947277e+00, 13, "2934863080528", 1}, + {7.7314672997715490821828045e+94, 21, "773146729977154908218", 95}, + {5.6083403200029747022331304e-247, 12, "560834032", -246}, + {7.7497965954812522289981797e-140, 9, "77497966", -139}, + {6.6856050260448473731649095e+215, 5, "66856", 216}, + {1.2418328974777711106675400e-71, 7, "1241833", -70}, + {1.3459985356642020430815130e-288, 1, "1", -287}, + {2.1915799176186182137773301e-203, 6, "219158", -202}, + {1.0326939090091490937354526e+93, 13, "1032693909009", 94}, + {1.5138888579768905066814077e-266, 13, "1513888857977", -265}, + {1.9996377568530313639953447e+64, 16, "1999637756853031", 65}, + {3.3062991029887976355874563e-180, 14, "33062991029888", -179}, + {1.2294404635676454931382885e+285, 10, "1229440464", 286}, + {5.2761955287208103465372414e+38, 4, "5276", 39}, + {3.4909843005387576688730017e+248, 15, "349098430053876", 249}, + {1.4600193475332589025877161e-281, 10, "1460019348", -280}, + {3.7238671987944088133934072e+270, 2, "37", 271}, + {2.7040969027475294676277237e+203, 1, "3", 204}, + {3.1238301655143934348145765e+264, 4, "3124", 265}, + {1.4579590332761703549188822e-141, 10, "1457959033", -140}, + {1.3152548731171278448870182e-07, 11, "13152548731", -6}, + {2.3885803367276874575258411e+198, 11, "23885803367", 199}, + {1.5782036194299332851526061e+189, 14, "15782036194299", 190}, + {3.7888196192099388695744884e-177, 8, "37888196", -176}, + {1.6732921916600566490413282e+135, 6, "167329", 136}, + {1.1319344519593492302111433e-245, 8, "11319345", -244}, + {1.4553280169944760665153016e-04, 11, "1455328017", -3}, + {4.6647991356133391154530551e-79, 17, "46647991356133391", -78}, + {2.7962420327426839019520000e+22, 4, "2796", 23}, + {2.0829699571275728970526811e-100, 15, "208296995712757", -99}, + {5.7108256846985638615179879e+268, 17, "57108256846985639", 269}, + {5.9438041766512519747909006e-44, 10, "5943804177", -43}, + {1.6553354253618068784832226e-13, 11, "16553354254", -12}, + {5.0792034330812282552570656e+219, 10, "5079203433", 220}, + {1.2275274992243392111070883e+289, 20, "12275274992243392111", 290}, + {8.1526240526777274628800507e+134, 20, "81526240526777274629", 135}, + {9.7885373748170129233448442e-151, 21, "978853737481701292334", -150}, + {1.5175607786756988810293008e+216, 4, "1518", 217}, + {1.5055659956013152037653756e-165, 17, "15055659956013152", -164}, + {6.5607111654594372584198757e-150, 11, "65607111655", -149}, + {1.7932790684967551874977491e-163, 12, "17932790685", -162}, + {1.9821715596658603095623018e+291, 6, "198217", 292}, + {1.0267594059913173148360320e-258, 6, "102676", -257}, + {2.3836006512497631667201786e-194, 9, "238360065", -193}, + {1.9362899175559093093853623e-79, 5, "19363", -78}, + {7.3625281122989054969937052e-291, 20, "7362528112298905497", -290}, + {2.9067292287821186952143865e+91, 15, "290672922878212", 92}, + {1.4793512167574492000000000e+16, 4, "1479", 17}, + {3.4103862617090174011013742e-136, 19, "3410386261709017401", -135}, + {4.2472726849679426643619274e-136, 18, "424727268496794266", -135}, + {9.0379988070056961683454404e-88, 15, "90379988070057", -87}, + {4.6114795705287448020898609e+227, 18, "46114795705287448", 228}, + {1.8629726428774103110268509e-278, 20, "1862972642877410311", -277}, + {3.1585260821472390924526589e-163, 2, "32", -162}, + {2.3453742411008844416317322e-141, 4, "2345", -140}, + {7.6597504120436647401728194e+200, 14, "76597504120437", 201}, + {8.0369107874406907392638566e-187, 20, "80369107874406907393", -186}, + {2.1631573385361605637398725e+235, 2, "22", 236}, + {1.7528390691506443790990035e-295, 1, "2", -294}, + {5.7630524098098487393989293e+237, 18, "576305240980984874", 238}, + {2.5540667845973345009373734e+36, 2, "26", 37}, + {3.0277467369268860302417182e+290, 5, "30277", 291}, + {1.5938108548705140243150408e-238, 17, "1593810854870514", -237}, + {2.2292455945420836302312301e+254, 4, "2229", 255}, + {1.5282263588616771875000000e+14, 11, "15282263589", 15}, + {5.4311888352508468366139627e-192, 8, "54311888", -191}, + {1.4612834386490569822890658e-240, 13, "1461283438649", -239}, + {3.5853426068817486690533561e-112, 16, "3585342606881749", -111}, + {2.5851668404204492638110794e+282, 7, "2585167", 283}, + {9.7833339930171263698071805e+278, 21, "978333399301712636981", 279}, + {2.5303775894667265360769771e-260, 21, "253037758946672653608", -259}, + {1.3278631312545150166419272e+128, 6, "132786", 129}, + {4.9176303300192645330870331e-287, 2, "49", -286}, + {5.7471660594172751910989609e-130, 5, "57472", -129}, + {2.5655142696562731891564806e-225, 8, "25655143", -224}, + {4.4718288364245362254909723e+206, 8, "44718288", 207}, + {4.2143924491569045358225109e+212, 9, "421439245", 213}, + {4.8214768601502697974086963e-106, 1, "5", -105}, + {2.3166454945162848889974429e-83, 19, "2316645494516284889", -82}, + {6.9818352999773524585281738e-97, 2, "7", -96}, + {1.5322862927763915187918899e-223, 18, "153228629277639152", -222}, + {1.8337256552559268723498319e-277, 1, "2", -276}, + {3.1949757056877905552897080e-286, 15, "319497570568779", -285}, + {5.2334925891806514421145900e-303, 8, "52334926", -302}, + {4.2397933975930834605650472e+241, 16, "4239793397593083", 242}, + {1.0287974590351816410215381e+46, 19, "1028797459035181641", 47}, + {2.4669310347076632472902549e+153, 6, "246693", 154}, + {2.3672887137932878098423359e-123, 5, "23673", -122}, + {1.0964154477099161492558111e-41, 11, "10964154477", -40}, + {1.5295024371357803357715677e-173, 5, "15295", -172}, + {1.2960075883806472670367262e-54, 13, "1296007588381", -53}, + {4.3783415307791511905477761e+106, 4, "4378", 107}, + {2.8397250995092657187812958e-45, 20, "28397250995092657188", -44}, + {3.4926435113382431269026662e-228, 16, "3492643511338243", -227}, + {1.6171030381303118763576321e+211, 2, "16", 212}, + {1.3318815650098664921492777e-63, 9, "133188157", -62}, + {3.8862210186865425299719981e+199, 15, "388622101868654", 200}, + {2.4315570067394405993841563e-41, 16, "2431557006739441", -40}, + {4.0530852201741314929526241e+68, 14, "40530852201741", 69}, + {8.1524942456057922620341187e-285, 2, "82", -284}, + {1.8478461668190198875395301e-18, 7, "1847846", -17}, + {8.5040705397523013194598685e+29, 11, "85040705398", 30}, + {9.1701664733270674617844118e-133, 18, "917016647332706746", -132}, + {7.0341156175263989558404590e+124, 21, "703411561752639895584", 125}, + {2.9579303536672631296003413e-117, 17, "29579303536672631", -116}, + {2.7342559436818562102922254e-25, 3, "273", -24}, + {3.1361469696535758888455815e+131, 10, "313614697", 132}, + {2.5527452729076293644957633e+254, 8, "25527453", 255}, + {9.9820714786650617441276991e-188, 14, "99820714786651", -187}, + {3.6571838526253739508170202e+133, 5, "36572", 134}, + {2.1439991334064125415065562e+263, 20, "21439991334064125415", 264}, + {2.7691891516865265877643639e-22, 18, "276918915168652659", -21}, + {2.1334103372345467838404774e+88, 11, "21334103372", 89}, + {4.0087518843710600846921259e-70, 14, "40087518843711", -69}, + {4.5057191122729767868974023e-305, 4, "4506", -304}, + {1.0473278711848223183025558e+121, 2, "1", 122}, + {1.6047196239146576000000000e+17, 21, "16047196239146576", 18}, + {3.2842790363402219520000000e+19, 16, "3284279036340222", 20}, + {3.3011839082268779726720411e+49, 19, "3301183908226877973", 50}, + {3.5524488971914461146209680e-121, 4, "3552", -120}, + {9.3645453466686285736468607e+219, 18, "936454534666862857", 220}, + {7.0104813432821121242350305e+265, 10, "7010481343", 266}, + {1.0619445753193927361857805e+205, 4, "1062", 206}, + {4.1863602757393668541110751e-111, 7, "418636", -110}, + {1.7315820675696728064000000e+19, 3, "173", 20}, + {6.7536303772024729600000000e+18, 16, "6753630377202473", 19}, + {4.8183795408314211822712804e-34, 16, "4818379540831421", -33}, + {9.9985664236304032551239570e-118, 2, "1", -116}, + {1.4694026914528593216677450e+257, 12, "146940269145", 258}, + {3.5645603483149065799664397e+187, 5, "35646", 188}, + {6.1987463825650669839283147e-276, 3, "62", -275}, + {1.5688509571326879387196221e+29, 18, "156885095713268794", 30}, + {3.6180770538862043395056389e+02, 1, "4", 3}, + {1.4952125037553337540480192e-56, 13, "1495212503755", -55}, + {1.5424978749940269014837876e+140, 8, "15424979", 141}, + {2.1912324444506835428888323e-222, 9, "219123244", -221}, + {2.6861068268688206672668457e+09, 4, "2686", 10}, + {2.2132415098877569881022729e-233, 18, "221324150988775699", -232}, + {1.5461619078362464790621828e-229, 5, "15462", -228}, + {1.7091675770146193651730871e-217, 14, "17091675770146", -216}, + {1.2655481031785394254133935e-174, 9, "12655481", -173}, + {2.2019828136248825133152136e-249, 16, "2201982813624883", -248}, + {2.6641823654765167329198483e+188, 13, "2664182365477", 189}, + {1.8386638959847941731339538e-62, 7, "1838664", -61}, + {9.3789847708144529513706771e-244, 7, "9378985", -243}, + {2.8968742182042179734329121e-58, 3, "29", -57}, + {4.4486429920398419536107678e+72, 9, "444864299", 73}, + {4.7286370052887201932731699e+156, 1, "5", 157}, + {2.1685434632593119362867832e+166, 4, "2169", 167}, + {5.2713817544629900952241304e+224, 8, "52713818", 225}, + {1.0750886811869889033802218e-172, 4, "1075", -171}, + {1.7881521561909617000111696e-128, 1, "2", -127}, + {8.2612365649984376651008774e-09, 15, "826123656499844", -8}, + {3.0659269027962132270204165e+01, 18, "306592690279621323", 2}, + {1.0257004968116448070582152e+203, 10, "1025700497", 204}, + {5.9570673631705455912711106e-272, 5, "59571", -271}, + {2.6365686143089448530216091e-294, 20, "2636568614308944853", -293}, + {1.3531961593964102457858458e+26, 19, "1353196159396410246", 27}, + {9.0079905923664457919849195e-263, 6, "900799", -262}, + {1.4299198189606970252968772e-129, 14, "14299198189607", -128}, + {2.0805418957077831142515569e+93, 14, "20805418957078", 94}, + {5.7466396964952557550465888e+190, 7, "574664", 191}, + {1.0372167315407058213434323e-67, 13, "1037216731541", -66}, + {2.9538391452730367739638067e+48, 17, "29538391452730368", 49}, + {1.9314758517125893245200249e+176, 2, "19", 177}, + {1.9285037841894596891538092e-248, 13, "1928503784189", -247}, + {3.6769745620665332738404270e+109, 20, "36769745620665332738", 110}, + {7.5299611947541506695796786e-28, 19, "752996119475415067", -27}, + {5.6540335834820418842111399e-148, 19, "5654033583482041884", -147}, + {1.4435936796986067287374286e-86, 1, "1", -85}, + {4.9593131840629578125000000e+13, 4, "4959", 14}, + {2.1779132118350692541944486e-200, 4, "2178", -199}, + {3.5974308822994829468019572e-26, 19, "3597430882299482947", -25}, + {2.6350657052632263558538254e+274, 15, "263506570526323", 275}, + {3.1496335914500373633431469e-06, 6, "314963", -5}, + {1.5829662412528247235443144e+299, 3, "158", 300}, + {1.6510322905680954034405342e-206, 1, "2", -205}, + {1.2578274708780377027868662e+178, 6, "125783", 179}, + {1.0944860844656250159998862e+113, 15, "109448608446563", 114}, + {7.3864858716613918657219408e-299, 4, "7386", -298}, + {7.2399349842634245045993245e-240, 5, "72399", -239}, + {3.2557998339989399896099690e+39, 3, "326", 40}, + {9.0636202671739879152112600e+117, 17, "90636202671739879", 118}, + {5.7383098177584941782274446e-166, 12, "573830981776", -165}, + {2.6035318557560247284976854e+203, 14, "2603531855756", 204}, + {3.1701773256352779759829668e+30, 9, "317017733", 31}, + {2.0712254158825995350308271e-23, 20, "2071225415882599535", -22}, + {3.9912456780196638866931025e-03, 10, "3991245678", -2}, + {2.1455418392802322388609769e+184, 10, "2145541839", 185}, + {1.3610104590390237593789248e-281, 15, 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{1.9120809165800857204472174e+206, 1, "2", 207}, + {1.5475148155234508405655166e-252, 19, "1547514815523450841", -251}, + {4.3575364317548206250000000e+14, 20, "4357536431754820625", 15}, + {3.2591793165951055648591446e+29, 8, "32591793", 30}, + {8.5239305532890786226305917e+70, 12, "852393055329", 71}, + {1.7179770969413695000000000e+15, 3, "172", 16}, + {3.1592402538298429832484182e-295, 12, "315924025383", -294}, + {1.5106609319048821178240502e+55, 16, "1510660931904882", 56}, + {4.0419053322881988297339469e-180, 13, "4041905332288", -179}, + {5.1591259867507463583917854e+193, 13, "5159125986751", 194}, + {5.9485998555293638609297584e+88, 2, "59", 89}, +}; + + +Vector PrecomputedPrecisionRepresentations() { + int number_elements = + sizeof(kPrecisionTestNumbers) / sizeof(PrecomputedPrecision); + return Vector(kPrecisionTestNumbers, + number_elements); +} + +} // namespace double_conversion diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/test/cctest/gay-shortest.cc julia-0.2.1~quantal7/deps/double-conversion-1.1.1/test/cctest/gay-shortest.cc --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/test/cctest/gay-shortest.cc 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/test/cctest/gay-shortest.cc 2014-02-19 10:15:08.000000000 +0000 @@ -0,0 +1,7801 @@ +// Copyright 2006-2008 the V8 project authors. 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 Google Inc. 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. + +// This file contains 100.000 decimal representations of random doubles. They +// have been generated using Gay's dtoa to produce the shortest representation: +// decimal_rep = dtoa(v, 0, 0, &decimal_point, &sign, NULL); + +#include "utils.h" + +#include "gay-shortest.h" + +namespace double_conversion { + +static const PrecomputedShortest kShortestTestNumbers[] = { + {1.3252057186783201350530603e-106, "13252057186783201", -105}, + {1.6899223998841386493367055e-33, "16899223998841386", -32}, + {1.0077972445720390730768089e+138, "1007797244572039", 139}, + {9.1867519315348420150084539e+98, "9186751931534842", 99}, + {2.3806039266050926162811123e-63, "23806039266050926", -62}, + {4.5919976932520640180577270e-133, "4591997693252064", -132}, + {1.7272067615194015698157467e-111, "17272067615194016", -110}, + {5.5137913707606126062645371e-233, "5513791370760613", -232}, + {3.2990959928362161509020688e+106, "3299095992836216", 107}, + {1.4315689338832699942723483e-149, "143156893388327", -148}, + {2.1841362436256955784396205e-129, "21841362436256956", -128}, + {2.7845681172104227200000000e+17, "27845681172104227", 18}, + {6.1380231397114677888087326e-101, "6138023139711468", -100}, + {2.6204368415809849050731729e+163, "2620436841580985", 164}, + {1.7091289481331723262072421e+248, "17091289481331723", 249}, + {1.0348922753222980178028204e-132, "1034892275322298", -131}, + {2.6497752476476071150763197e-308, "2649775247647607", -307}, + {7.4822449050560397764297518e+124, "748224490505604", 125}, + {3.1026387904896850915478513e-296, "3102638790489685", -295}, + {3.0231537206859015977526118e+223, "30231537206859016", 224}, + {4.2924296430489070452237882e+156, "4292429643048907", 157}, + {7.5066627297459170218149505e-172, "7506662729745917", -171}, + {3.9313879893508392414664459e+207, "3931387989350839", 208}, + {2.0394747354404426895631238e-131, "20394747354404427", -130}, + {1.0371609095992628396338671e+68, "10371609095992628", 69}, + {4.1825395055009590456043130e+49, "4182539505500959", 50}, + {8.8906970003163962680840814e+176, "8890697000316396", 177}, + {3.1682120479001465281493074e+27, "31682120479001465", 28}, + {3.3116594354284591857730425e-214, "3311659435428459", -213}, + {5.8270435531819559300172525e+69, "5827043553181956", 70}, + {1.2905525787704977015088061e+159, "12905525787704977", 160}, + {1.2656408067594076914048263e+106, "12656408067594077", 107}, + {1.3566244872012328498948729e-288, "13566244872012328", -287}, + {2.7189207429747740999183962e-107, "2718920742974774", -106}, + {5.4962310232325185587188125e+29, "54962310232325186", 30}, + {1.2039901566595156659979987e-60, "12039901566595157", -59}, + {2.4361855217773568894543135e-04, "2436185521777357", -3}, + {1.0431384611214260049484168e-260, "1043138461121426", -259}, + {2.3080541526474416462282047e-04, "23080541526474416", -3}, + {2.4147405619576335917152168e-103, "24147405619576336", -102}, + {1.6834823230746819719710365e-22, "1683482323074682", -21}, + {8.7080426599052213999982265e+203, "8708042659905221", 204}, + {1.3880272487448827645468711e+106, "13880272487448828", 107}, + {3.6283981275999341881623758e-298, "3628398127599934", -297}, + {1.2965691469567775539200000e+20, "12965691469567776", 21}, + {2.6560940581538802992023386e-148, "26560940581538803", -147}, + {1.5137554749791916790439891e+137, "15137554749791917", 138}, + {1.9939019983446637744028162e-199, "19939019983446638", -198}, + {6.5866443194645517284957075e+76, "6586644319464552", 77}, + {1.4468397671540319106137213e-226, "1446839767154032", -225}, + {6.2743981634636702802989226e-259, "627439816346367", -258}, + {1.1167753989761870020118527e+42, "1116775398976187", 43}, + {1.5742696534217655244510617e+57, "15742696534217655", 58}, + {6.1830190683754924654362154e+266, "6183019068375492", 267}, + {1.6357186464312246507080816e+53, "16357186464312247", 54}, + {8.7626385386502853568828445e-150, "8762638538650285", -149}, + {1.2782686851947397819540970e-177, "12782686851947398", -176}, + {8.5901443961849337528564932e+250, "8590144396184934", 251}, + {2.6498343354321504725755135e-105, "26498343354321505", -104}, + {1.9578020164117920559234815e-131, "1957802016411792", -130}, + {1.5497642141088722240759558e-123, "15497642141088722", -122}, + {9.1691319521469439820480937e+30, "9169131952146944", 31}, + {3.9046157151871221406982948e-249, "3904615715187122", -248}, + {6.3064007483917435584145024e+136, "6306400748391744", 137}, + {3.1146877595590063968280143e+118, "31146877595590064", 119}, + {1.1407354149089334218097764e+226, "11407354149089334", 227}, + {1.8748608908459399556547457e-33, "187486089084594", -32}, + {7.7011469944270716098450498e+113, "7701146994427072", 114}, + {1.0708849188837334385389633e-78, "10708849188837334", -77}, + {2.8944690604304663858832854e-249, "28944690604304664", -248}, + {2.6865407799434139442608004e-258, "2686540779943414", -257}, + {8.8414360974336110614156311e-158, "8841436097433611", -157}, + {1.7580203265464267510859745e-40, "17580203265464268", -39}, + {6.9915284536696885330088396e+274, "6991528453669689", 275}, + {2.4993141214540274193423965e-194, "24993141214540274", -193}, + {6.8639377438681806661307185e+102, "6863937743868181", 103}, + {2.2421757386952627812710621e-144, "22421757386952628", -143}, + {5.4469612778255034041278577e+36, "5446961277825503", 37}, + {3.4699675909567793999507957e-42, "34699675909567794", -41}, + {3.5656964266388477887743263e+286, "3565696426638848", 287}, + {1.7214351947097940980141862e-235, "1721435194709794", -234}, + {5.7740510393095364965734792e+293, "57740510393095365", 294}, + {1.0683867728180228303032941e+168, "10683867728180228", 169}, + {7.8417136330884926964837217e+254, "7841713633088493", 255}, + {1.4353998706496625043748034e-145, "14353998706496625", -144}, + {1.4386299828739290835809455e-143, "1438629982873929", -142}, + {2.8752786000759308226406574e+06, "2875278600075931", 7}, + {4.5926340384863042757898849e-111, "4592634038486304", -110}, + {5.7265970248538070500226413e+55, "5726597024853807", 56}, + {5.9786442728733652833279224e+66, "5978644272873365", 67}, + {2.1610430481656253174589602e+64, "21610430481656253", 65}, + {1.3165548307748377288297995e-212, "13165548307748377", -211}, + {2.6807666160328904391718750e-225, "26807666160328904", -224}, + {6.2697618655586380144002860e+173, "6269761865558638", 174}, + {1.1751204576545737366175117e+214, "11751204576545737", 215}, + {3.9941186333645135164260864e+07, "39941186333645135", 8}, + {8.7717014790955747616795566e+279, "8771701479095575", 280}, + {3.2875202783733892752405113e-211, "32875202783733893", -210}, + {1.1451502816849844010621653e-106, "11451502816849844", -105}, + {2.6669985486807822575683670e-180, "26669985486807823", -179}, + {8.3970396132495299351252042e+304, "839703961324953", 305}, + {7.1585056056422905113411816e+59, "71585056056422905", 60}, + {1.3301611505256969880162151e+223, "1330161150525697", 224}, + {6.3974810337750397518136181e-117, "639748103377504", -116}, + {2.9014002836541182296833307e-73, "2901400283654118", -72}, + {4.1012657428634783268682669e+252, "4101265742863478", 253}, + {3.3909780920685604278184908e-177, "33909780920685604", -176}, + {2.9832462266190784382086972e+277, "29832462266190784", 278}, + {4.2408967264679168771670036e-220, "4240896726467917", -219}, + {5.6511412945945582648522759e+205, "5651141294594558", 206}, + {3.3971922549971354909761837e-36, "33971922549971355", -35}, + {7.0346265078421031435910822e-290, "7034626507842103", -289}, + {5.9838017187523983194475693e+71, "5983801718752398", 72}, + {8.5944520215508656515553637e-221, "8594452021550866", -220}, + {9.8253671983518666267337231e-26, "9825367198351867", -25}, + {4.9976903291979702696563389e+29, "499769032919797", 30}, + {1.4981662868141252485847889e-23, "14981662868141252", -22}, + {8.6456899086484619304903297e-208, "8645689908648462", -207}, + {8.0925324193140830925919377e-75, "8092532419314083", -74}, + {1.6679947374739701263842679e-251, "16679947374739701", -250}, + {1.2201596791532746727239656e+58, "12201596791532747", 59}, + {1.5749712412767631889730583e+209, "15749712412767632", 210}, + {1.4725958730903781571358689e+126, "14725958730903782", 127}, + {1.1839979122061201231667441e+198, "11839979122061201", 199}, + {4.7885777022264868428508820e-235, "4788577702226487", -234}, + {1.7672793056482473436836944e+101, "17672793056482473", 102}, + {4.1045125029672000177155657e-94, "41045125029672", -93}, + {8.8494629544539611950448208e+238, "8849462954453961", 239}, + {4.2572035464283417650401276e-126, "4257203546428342", -125}, + {2.0845392765739245845328976e+64, "20845392765739246", 65}, + {1.0673343360022037066815679e-286, "10673343360022037", -285}, + {8.1458016967241863465387808e-110, "8145801696724186", -109}, + {1.5730426911871395345970039e+224, "15730426911871395", 225}, + {3.2397607690678853408245583e-225, "32397607690678853", -224}, + {3.8503078828071335276527576e+210, "38503078828071335", 211}, + {7.8715148646758174089130261e+68, "7871514864675817", 69}, + {4.2948212304455311869537911e-174, "4294821230445531", -173}, + {5.5987737471607980995008864e+73, "5598773747160798", 74}, + {2.4110773802390139039879055e-08, "2411077380239014", -7}, + {6.0827061913910494875452396e+164, "6082706191391049", 165}, + {2.5679453321965104563373886e+69, "25679453321965105", 70}, + {9.3050261252337594470967564e-162, "930502612523376", -161}, + {6.0036483954760353105202525e-284, "6003648395476035", -283}, + {4.9008085273929314003182709e+239, "4900808527392931", 240}, + {7.1154848273122389191788161e-302, "7115484827312239", -301}, + {1.3765551283886802237534895e-47, "13765551283886802", -46}, + {1.9947604895103773888671955e+301, "19947604895103774", 302}, + {1.7543955487025116793382849e-242, "17543955487025117", -241}, + {9.1940018232811127944349757e+242, "9194001823281113", 243}, + {8.3226879676322187322903194e+186, "8322687967632219", 187}, + {2.6288951130064901865100714e-22, "262889511300649", -21}, + {3.6862697189529755927824960e-269, "36862697189529756", -268}, + {2.9934715763669705995337155e+111, "29934715763669706", 112}, + {2.0019772311429112433350107e+45, "20019772311429112", 46}, + {4.0439995860910020123459794e-237, "4043999586091002", -236}, + {1.0056583368560327315803436e+47, "10056583368560327", 48}, + {1.7440064841366835624908004e-269, "17440064841366836", -268}, + {8.8238215144632038603425857e+300, "8823821514463204", 301}, + {3.3957896799542624016579082e-69, "33957896799542624", -68}, + {9.3904761476493451819929495e+118, "9390476147649345", 119}, + {2.9139225283507267794304964e+274, "29139225283507268", 275}, + {4.4089423687311979044201468e+91, "4408942368731198", 92}, + {3.7420283999949003439003602e-13, "37420283999949003", -12}, + {7.6949782844885924222778243e+292, "7694978284488592", 293}, + {2.3291631607680878914834466e+03, "2329163160768088", 4}, + {2.3148026010073740800000000e+17, "2314802601007374", 18}, + {2.0924594697637957933806894e+274, "20924594697637958", 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{3.2050798350045324573324996e-238, "32050798350045325", -237}, + {1.6645502541636321779506502e-259, "16645502541636322", -258}, + {7.0389021865754294097691589e-283, "7038902186575429", -282}, + {1.0145636395050969277055162e-127, "1014563639505097", -126}, + {4.4000863011752092734332344e-55, "4400086301175209", -54}, + {1.5294395580995136000000000e+18, "15294395580995136", 19}, + {2.4710587755785483711663832e-197, "24710587755785484", -196}, + {3.7767285311765996653231230e+98, "37767285311765997", 99}, + {1.7581381710648567663714295e-63, "17581381710648568", -62}, + {2.0781308489570839169325690e-198, "2078130848957084", -197}, + {3.7570281595825613224985940e+243, "3757028159582561", 244}, + {5.1732000496670967457996000e+100, "5173200049667097", 101}, + {1.3072188340133809650058958e+155, "1307218834013381", 156}, + {1.6742265258034916161845089e-241, "16742265258034916", -240}, + {1.5403437107825827614975441e+82, "15403437107825828", 83}, + {3.9923524471950903267696961e+88, "399235244719509", 89}, + {5.5116686869602291323232744e-64, "5511668686960229", -63}, + {6.1027852826177380071640590e-279, "6102785282617738", -278}, + {4.8036646429934131652603788e-199, "4803664642993413", -198}, + {3.8640436495318767285672167e+182, "3864043649531877", 183}, + {4.1048002167195142146284868e+163, "4104800216719514", 164}, + {5.2617441244204131214327189e+48, "5261744124420413", 49}, + {6.6155018811337935379571887e-203, "6615501881133794", -202}, + {3.5652421915030330269417780e+133, "3565242191503033", 134}, + {2.2666944496090157198837292e+179, "22666944496090157", 180}, + {8.0806796099366163833867110e+152, "8080679609936616", 153}, + {2.2949521426780434589474384e+166, "22949521426780435", 167}, + {1.7949029630832286484753293e+255, "17949029630832286", 256}, + {4.2139347259617897006580958e-141, "42139347259617897", -140}, + {1.9457006508960371017456055e+09, "1945700650896037", 10}, + {1.8196174771432740054683665e-71, "1819617477143274", -70}, + {4.1522046835374129007633912e+87, "4152204683537413", 88}, + {9.5147913812484958396182160e+68, "9514791381248496", 69}, + {6.5233214832617612087687135e-290, "6523321483261761", -289}, + {2.1976443032900029725827622e+229, "2197644303290003", 230}, + {7.7945494123935994766136967e-137, "7794549412393599", -136}, + {8.2489133131573459394076595e+89, "8248913313157346", 90}, + {4.8463917161044124830727399e-53, "48463917161044125", -52}, + {2.6063179910917043195876454e-197, "26063179910917043", -196}, + {1.1534374731134831884282528e+98, "11534374731134832", 99}, + {9.6848108601248715664810536e-249, "9684810860124872", -248}, + {1.8151432624368661050734893e-139, "1815143262436866", -138}, + {4.8529274606854961376006889e-252, "4852927460685496", -251}, + {6.4690791441008866495362505e+151, "6469079144100887", 152}, + {2.5435769881081616696848503e-23, "25435769881081617", -22}, + {4.8653321386461015801692357e+232, "48653321386461016", 233}, + {3.7420972383650163576040659e-91, "37420972383650164", -90}, + {8.3446789266170258150226952e+48, "8344678926617026", 49}, + {6.3938712025623135813320022e+300, "6393871202562314", 301}, + {3.5700800810926413488499601e+58, "35700800810926413", 59}, + {9.7718299270913900711641499e+31, "977182992709139", 32}, + {1.1550161432438211845034689e-77, "11550161432438212", -76}, + {2.0964331650552929530757658e+218, "2096433165055293", 219}, + {2.2454983172384996597383434e+106, "22454983172384997", 107}, + {2.1444860345112284014708511e+105, "21444860345112284", 106}, + {1.1633741829442079412650245e+303, "1163374182944208", 304}, + {3.5466608488876978528610955e-215, "3546660848887698", -214}, + {6.5769584954769103685527886e-29, "657695849547691", -28}, + {4.8974529925882863733864417e-91, "48974529925882864", -90}, + {8.0254047096588487682218884e-16, "8025404709658849", -15}, + {8.9037824557449211111237601e-30, "8903782455744921", -29}, + {3.6618664795389382548936611e-122, "3661866479538938", -121}, + {2.1151283574963047553969054e-120, "21151283574963048", -119}, + {1.3986803306353937738594265e+58, "13986803306353938", 59}, + {1.0577243148255164430318093e-88, "10577243148255164", -87}, + {2.6430862838399377172382615e-273, "26430862838399377", -272}, + {1.2596059602833056524371011e-160, "12596059602833057", -159}, + {5.4588272976231225897627041e+212, "54588272976231226", 213}, + {1.5770082549604798992892692e-59, "157700825496048", -58}, + {2.1636919277782875993378627e+78, "21636919277782876", 79}, + {2.4017993593469032725105567e+79, "24017993593469033", 80}, + {1.8048727565534694610935250e+58, "18048727565534695", 59}, + {1.0243444966115229906761809e-286, "1024344496611523", -285}, + {6.0768827239239811789624535e-40, "6076882723923981", -39}, + {7.5118802614114227450004146e+251, "7511880261411423", 252}, + {1.9840504188757587212448598e+111, "19840504188757587", 112}, + {2.2838574066435595529063974e-85, "22838574066435596", -84}, + {7.2178869303959375246717360e+55, "7217886930395938", 56}, + {3.1541038478088714460379347e-219, "31541038478088714", -218}, + {5.2628491503919035427399292e+176, "5262849150391904", 177}, + {2.2347616447433604493813370e-123, "22347616447433604", -122}, + {1.1962299518289295549737626e-23, "11962299518289296", -2 \ No newline at end of file diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/test/cctest/gay-shortest-single.cc julia-0.2.1~quantal7/deps/double-conversion-1.1.1/test/cctest/gay-shortest-single.cc --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/test/cctest/gay-shortest-single.cc 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/test/cctest/gay-shortest-single.cc 2014-02-19 10:15:08.000000000 +0000 @@ -0,0 +1,10049 @@ +// Copyright 2011 the V8 project authors. 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 Google Inc. 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. + +// This file contains 100.000 decimal representations of random singles. They +// have been generated using Gay's gdtoa to produce the shortest representation. + +#include "utils.h" + +#include "gay-shortest-single.h" + +namespace double_conversion { + +static const PrecomputedShortestSingle kShortestSingleTestNumbers[] = { + {3.36736864456782105775e+26f, "33673686", 27}, + {1.46182568272479329607e-08f, "14618257", -7}, + {1.39158807800948614758e+22f, "13915881", 23}, + {2.11660013157571985670e+23f, "21166001", 24}, + {1.12098729821300864932e+32f, "11209873", 33}, + {1.04102368567680067936e-23f, "10410237", -22}, + {4.13143748812655475788e-13f, "41314375", -12}, + {9.83890996017493966848e+20f, "983891", 21}, + {1.54088676887868339664e-17f, "15408868", -16}, + {2.97584003906250000000e+04f, "297584", 5}, + {3.79264131188392639160e-02f, "37926413", -1}, + {1.71021875200000000000e+10f, "17102188", 11}, + {8.06074235137899108850e-11f, "80607424", -10}, + {2.28901271820068359375e+01f, "22890127", 2}, + {1.47113100255597364294e+35f, "1471131", 36}, + {2.50842668277236002727e+32f, "25084267", 33}, + {5.98616145920000000000e+10f, "59861615", 11}, + {1.17310761037987840000e+17f, "11731076", 18}, + {5.04973631407483395134e-28f, "50497363", -27}, + {3.71523328000000000000e+08f, "37152333", 9}, + {1.10303343143980550920e-37f, "11030334", -36}, + {3.19572182371912443446e-20f, "31957218", -19}, + {2.28460911869883844822e-28f, "2284609", -27}, + {5.64945840689771546935e+23f, "56494584", 24}, + {7.17221703893650915938e-27f, "7172217", -26}, + {4.89284062155093124602e-08f, "48928406", -7}, + {6.19150727045903638692e-29f, "6191507", -28}, + {1.46337902990928999457e-30f, "1463379", -29}, + {3.96785751459780656769e-22f, "39678575", -21}, + {2.09710865020751953125e+01f, "20971087", 2}, + {2.80506687514561407319e+26f, "28050669", 27}, + {9.85586048000000000000e+08f, "98558605", 9}, + {3.96148468524449301822e-16f, "39614847", -15}, + {8.33828700160000000000e+10f, "8338287", 11}, + {1.55842636108398437500e+02f, "15584264", 3}, + {6.78622305393218994141e-01f, "6786223", 0}, + {5.47857799948797004365e+36f, "5478578", 37}, + {2.09198966468115618838e-16f, "20919897", -15}, + {1.73260148621891023667e+21f, "17326015", 22}, + {2.36379470825195312500e+02f, "23637947", 3}, + {1.29622111893768372224e+21f, "12962211", 22}, + {4.34674980454019532772e-08f, "43467498", -7}, + {3.12232384415855784621e+30f, "31223238", 31}, + {4.24264774296490140490e-17f, "42426477", -16}, + {8.94460287087506245030e-12f, "8944603", -11}, + {1.07441893524297868955e+24f, "10744189", 25}, + {4.12390787239506142819e+32f, "4123908", 33}, + {1.43085093757774781695e-33f, "14308509", -32}, + {8.53805660531876490311e+34f, "8538057", 35}, + {2.11815628051757812500e+02f, "21181563", 3}, + {2.53987830113103298445e-32f, "25398783", -31}, + {3.99278278974405847604e-24f, "39927828", -23}, + {7.85532112076800000000e+12f, "7855321", 13}, + {2.40796081263608126082e+30f, "24079608", 31}, + {4.78973154541262324813e-12f, "47897315", -11}, + {5.49990939711204985167e-34f, "54999094", -33}, + {2.11758349685603906125e-37f, "21175835", -36}, + {1.14418426528573036194e-03f, "11441843", -2}, + {4.43940181185170234974e-34f, "4439402", -33}, + {1.35502790665719938274e-20f, "13550279", -19}, + {3.94072925838434383051e+36f, "39407293", 37}, + {1.99301721411454736091e+31f, "19930172", 32}, + {2.27219600044929514018e+27f, "2272196", 28}, + {2.19690898887958620169e-18f, "2196909", -17}, + {2.41386938476562500000e+03f, "24138694", 4}, + {4.90334772784706274251e-10f, "4903348", -9}, + {2.39612346916573020160e+20f, "23961235", 21}, + {1.93448505401611328125e+01f, "1934485", 2}, + {1.70405186764800000000e+13f, "17040519", 14}, + {5.58718505859375000000e+02f, "5587185", 3}, + {6.35417187804722656139e-36f, "6354172", -35}, + {3.15925499307923018932e-05f, "3159255", -4}, + {4.02344408644689567736e+33f, "4023444", 34}, + {3.34204134628793577785e+33f, "33420413", 34}, + {2.25367293482237952000e+17f, "2253673", 18}, + {4.93802539671372965006e-17f, "49380254", -16}, + {4.91045191499644928000e+18f, "4910452", 19}, + {1.26071169024000000000e+11f, "12607117", 12}, + {1.19068279541556520940e-11f, "11906828", -10}, + {6.15031733485568000000e+14f, "6150317", 15}, + {3.84997401817292772476e-26f, "3849974", -25}, + {5.08654484292492270470e-05f, "5086545", -4}, + {4.11752049469324024072e+29f, "41175205", 30}, + {4.93427345541638368788e+25f, "49342735", 26}, + {1.78068280606846762737e-13f, "17806828", -12}, + {2.73735935704621929123e-21f, "27373594", -20}, + {4.31847494463731923443e+30f, "4318475", 31}, + {6.15620835558994272674e-12f, "61562084", -11}, + {5.03135520948224000000e+14f, "50313552", 15}, + {3.08359732229154972338e+35f, "30835973", 36}, + {1.41924680000000000000e+07f, "14192468", 8}, + {2.79239458816000000000e+12f, "27923946", 13}, + {9.01784520278732310901e+27f, "9017845", 28}, + {4.66106976091396063566e-05f, "46610698", -4}, + {9.97093543397242579551e+32f, "99709354", 33}, + {2.97991427089527860517e-08f, "29799143", -7}, + {3.82099227444168162804e+24f, "38209923", 25}, + {3.26494756798464000000e+14f, "32649476", 15}, + {9.80727337765057095793e+31f, "9807273", 32}, + {9.48505029082298278809e-02f, "948505", -1}, + {2.64949676148562304144e-22f, "26494968", -21}, + {1.05059494742968167996e+35f, "10505949", 36}, + {5.03923067917985240973e+32f, "50392307", 33}, + {1.45480693916478861208e-27f, "14548069", -26}, + {4.91821586575108280614e+29f, "4918216", 30}, + {1.53468813312000000000e+11f, "15346881", 12}, + {1.20550157589605078101e-05f, "12055016", -4}, + {3.47183641600000000000e+09f, "34718364", 10}, + {2.70784720359726067528e-17f, "27078472", -16}, + {2.29797341922482674729e+22f, "22979734", 23}, + {3.03617689393883075089e-15f, "30361769", -14}, + {1.75854031112976372242e-04f, "17585403", -3}, + {1.59521377234067913941e-21f, "15952138", -20}, + {1.66838362212681144509e-24f, "16683836", -23}, + {1.19076694090203718103e-17f, "11907669", -16}, + 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{1.26369655924578011323e-33f, "12636966", -32}, + {2.85484337750797356069e+28f, "28548434", 29}, + {7.96527399871394611200e+18f, "7965274", 19}, + {3.70879005640745162964e-03f, "370879", -2}, + {3.23001025000000000000e+06f, "32300102", 7}, + {3.36178240000000000000e+08f, "33617824", 9}, + {2.12079275535474265444e-16f, "21207928", -15}, + {2.94726836316381050514e+30f, "29472684", 31}, + {1.90744868967543945072e+37f, "19074487", 38}, + {5.93177203059438872166e-25f, "5931772", -24}, + {4.61849153380041548369e+33f, "46184915", 34}, + {1.77121338504389940291e+26f, "17712134", 27}, + {1.33069244512284967641e-09f, "13306924", -8}, + {9.42158055953408479256e-17f, "94215806", -16}, + {6.89739349188633840544e-25f, "68973935", -24}, + {9.28531367703549319243e-35f, "92853137", -34}, + {1.73519940124193250031e-25f, "17351994", -24}, + {4.20852591442577077581e+35f, "4208526", 36}, + {1.72609219598757138935e+29f, "17260922", 30}, + {1.30300308257966653440e+19f, "13030031", 20}, + {1.83401889750332068213e-25f, "18340189", -24}, +}; + + +Vector +PrecomputedShortestSingleRepresentations() { + int number_elements = + sizeof(kShortestSingleTestNumbers) / sizeof(PrecomputedShortestSingle); + return Vector(kShortestSingleTestNumbers, + number_elements); +} + +} // namespace double_conversion diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/test/cctest/gay-shortest-single.h julia-0.2.1~quantal7/deps/double-conversion-1.1.1/test/cctest/gay-shortest-single.h --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/test/cctest/gay-shortest-single.h 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/test/cctest/gay-shortest-single.h 2014-02-19 10:15:08.000000000 +0000 @@ -0,0 +1,44 @@ +// Copyright 2011, the V8 project authors. 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 Google Inc. 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. + +#ifndef GAY_SHORTEST_SINGLE_H_ +#define GAY_SHORTEST_SINGLE_H_ + +namespace double_conversion { + +struct PrecomputedShortestSingle { + float v; + const char* representation; + int decimal_point; +}; + +Vector + PrecomputedShortestSingleRepresentations(); + +} // namespace double_conversion + +#endif // GAY_SHORTEST_SINGLE_H_ diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/test/cctest/test-bignum-dtoa.cc julia-0.2.1~quantal7/deps/double-conversion-1.1.1/test/cctest/test-bignum-dtoa.cc --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/test/cctest/test-bignum-dtoa.cc 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/test/cctest/test-bignum-dtoa.cc 2014-02-19 10:15:08.000000000 +0000 @@ -0,0 +1,395 @@ +// Copyright 2012 the V8 project authors. 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 Google Inc. 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. + +#include + +#include "bignum-dtoa.h" + +#include "cctest.h" +#include "gay-fixed.h" +#include "gay-precision.h" +#include "gay-shortest.h" +#include "gay-shortest-single.h" +#include "ieee.h" +#include "utils.h" + +using namespace double_conversion; + + +// Removes trailing '0' digits. +// Can return the empty string if all digits are 0. +static void TrimRepresentation(Vector representation) { + int len = strlen(representation.start()); + int i; + for (i = len - 1; i >= 0; --i) { + if (representation[i] != '0') break; + } + representation[i + 1] = '\0'; +} + + +static const int kBufferSize = 100; + + +TEST(BignumDtoaVariousDoubles) { + char buffer_container[kBufferSize]; + Vector buffer(buffer_container, kBufferSize); + int length; + int point; + + BignumDtoa(1.0, BIGNUM_DTOA_SHORTEST, 0, buffer, &length, &point); + CHECK_EQ("1", buffer.start()); + CHECK_EQ(1, point); + + BignumDtoa(1.0, BIGNUM_DTOA_FIXED, 3, buffer, &length, &point); + CHECK_GE(3, length - point); + TrimRepresentation(buffer); + CHECK_EQ("1", buffer.start()); + CHECK_EQ(1, point); + + BignumDtoa(1.0, BIGNUM_DTOA_PRECISION, 3, buffer, &length, &point); + CHECK_GE(3, length); + TrimRepresentation(buffer); + CHECK_EQ("1", buffer.start()); + CHECK_EQ(1, point); + + BignumDtoa(1.5, BIGNUM_DTOA_SHORTEST, 0, buffer, &length, &point); + CHECK_EQ("15", buffer.start()); + CHECK_EQ(1, point); + + BignumDtoa(1.5, BIGNUM_DTOA_FIXED, 10, buffer, &length, &point); + CHECK_GE(10, length - point); + TrimRepresentation(buffer); + CHECK_EQ("15", buffer.start()); + CHECK_EQ(1, point); + + BignumDtoa(1.5, BIGNUM_DTOA_PRECISION, 10, buffer, &length, &point); + CHECK_GE(10, length); + TrimRepresentation(buffer); + CHECK_EQ("15", buffer.start()); + CHECK_EQ(1, point); + + double min_double = 5e-324; + BignumDtoa(min_double, BIGNUM_DTOA_SHORTEST, 0, buffer, &length, &point); + CHECK_EQ("5", buffer.start()); + CHECK_EQ(-323, point); + + BignumDtoa(min_double, BIGNUM_DTOA_FIXED, 5, buffer, &length, &point); + CHECK_GE(5, length - point); + TrimRepresentation(buffer); + CHECK_EQ("", buffer.start()); + + BignumDtoa(min_double, BIGNUM_DTOA_PRECISION, 5, buffer, &length, &point); + CHECK_GE(5, length); + TrimRepresentation(buffer); + CHECK_EQ("49407", buffer.start()); + CHECK_EQ(-323, point); + + double max_double = 1.7976931348623157e308; + BignumDtoa(max_double, BIGNUM_DTOA_SHORTEST, 0, buffer, &length, &point); + CHECK_EQ("17976931348623157", buffer.start()); + CHECK_EQ(309, point); + + BignumDtoa(max_double, BIGNUM_DTOA_PRECISION, 7, buffer, &length, &point); + CHECK_GE(7, length); + TrimRepresentation(buffer); + CHECK_EQ("1797693", buffer.start()); + CHECK_EQ(309, point); + + BignumDtoa(4294967272.0, BIGNUM_DTOA_SHORTEST, 0, buffer, &length, &point); + CHECK_EQ("4294967272", buffer.start()); + CHECK_EQ(10, point); + + BignumDtoa(4294967272.0, BIGNUM_DTOA_FIXED, 5, buffer, &length, &point); + CHECK_EQ("429496727200000", buffer.start()); + CHECK_EQ(10, point); + + + BignumDtoa(4294967272.0, BIGNUM_DTOA_PRECISION, 14, buffer, &length, &point); + CHECK_GE(14, length); + TrimRepresentation(buffer); + CHECK_EQ("4294967272", buffer.start()); + CHECK_EQ(10, point); + + BignumDtoa(4.1855804968213567e298, BIGNUM_DTOA_SHORTEST, 0, + buffer, &length, &point); + CHECK_EQ("4185580496821357", buffer.start()); + CHECK_EQ(299, point); + + BignumDtoa(4.1855804968213567e298, BIGNUM_DTOA_PRECISION, 20, + buffer, &length, &point); + CHECK_GE(20, length); + TrimRepresentation(buffer); + CHECK_EQ("41855804968213567225", buffer.start()); + CHECK_EQ(299, point); + + BignumDtoa(5.5626846462680035e-309, BIGNUM_DTOA_SHORTEST, 0, + buffer, &length, &point); + CHECK_EQ("5562684646268003", buffer.start()); + CHECK_EQ(-308, point); + + BignumDtoa(5.5626846462680035e-309, BIGNUM_DTOA_PRECISION, 1, + buffer, &length, &point); + CHECK_GE(1, length); + TrimRepresentation(buffer); + CHECK_EQ("6", buffer.start()); + CHECK_EQ(-308, point); + + BignumDtoa(2147483648.0, BIGNUM_DTOA_SHORTEST, 0, + buffer, &length, &point); + CHECK_EQ("2147483648", buffer.start()); + CHECK_EQ(10, point); + + + BignumDtoa(2147483648.0, BIGNUM_DTOA_FIXED, 2, + buffer, &length, &point); + CHECK_GE(2, length - point); + TrimRepresentation(buffer); + CHECK_EQ("2147483648", buffer.start()); + CHECK_EQ(10, point); + + BignumDtoa(2147483648.0, BIGNUM_DTOA_PRECISION, 5, + buffer, &length, &point); + CHECK_GE(5, length); + TrimRepresentation(buffer); + CHECK_EQ("21475", buffer.start()); + CHECK_EQ(10, point); + + BignumDtoa(3.5844466002796428e+298, BIGNUM_DTOA_SHORTEST, 0, + buffer, &length, &point); + CHECK_EQ("35844466002796428", buffer.start()); + CHECK_EQ(299, point); + + BignumDtoa(3.5844466002796428e+298, BIGNUM_DTOA_PRECISION, 10, + buffer, &length, &point); + CHECK_GE(10, length); + TrimRepresentation(buffer); + CHECK_EQ("35844466", buffer.start()); + CHECK_EQ(299, point); + + uint64_t smallest_normal64 = UINT64_2PART_C(0x00100000, 00000000); + double v = Double(smallest_normal64).value(); + BignumDtoa(v, BIGNUM_DTOA_SHORTEST, 0, buffer, &length, &point); + CHECK_EQ("22250738585072014", buffer.start()); + CHECK_EQ(-307, point); + + BignumDtoa(v, BIGNUM_DTOA_PRECISION, 20, buffer, &length, &point); + CHECK_GE(20, length); + TrimRepresentation(buffer); + CHECK_EQ("22250738585072013831", buffer.start()); + CHECK_EQ(-307, point); + + uint64_t largest_denormal64 = UINT64_2PART_C(0x000FFFFF, FFFFFFFF); + v = Double(largest_denormal64).value(); + BignumDtoa(v, BIGNUM_DTOA_SHORTEST, 0, buffer, &length, &point); + CHECK_EQ("2225073858507201", buffer.start()); + CHECK_EQ(-307, point); + + BignumDtoa(v, BIGNUM_DTOA_PRECISION, 20, buffer, &length, &point); + CHECK_GE(20, length); + TrimRepresentation(buffer); + CHECK_EQ("2225073858507200889", buffer.start()); + CHECK_EQ(-307, point); + + BignumDtoa(4128420500802942e-24, BIGNUM_DTOA_SHORTEST, 0, + buffer, &length, &point); + CHECK_EQ("4128420500802942", buffer.start()); + CHECK_EQ(-8, point); + + v = 3.9292015898194142585311918e-10; + BignumDtoa(v, BIGNUM_DTOA_SHORTEST, 0, buffer, &length, &point); + CHECK_EQ("39292015898194143", buffer.start()); + + v = 4194304.0; + BignumDtoa(v, BIGNUM_DTOA_FIXED, 5, buffer, &length, &point); + CHECK_GE(5, length - point); + TrimRepresentation(buffer); + CHECK_EQ("4194304", buffer.start()); + + v = 3.3161339052167390562200598e-237; + BignumDtoa(v, BIGNUM_DTOA_PRECISION, 19, buffer, &length, &point); + CHECK_GE(19, length); + TrimRepresentation(buffer); + CHECK_EQ("3316133905216739056", buffer.start()); + CHECK_EQ(-236, point); + + v = 7.9885183916008099497815232e+191; + BignumDtoa(v, BIGNUM_DTOA_PRECISION, 4, buffer, &length, &point); + CHECK_GE(4, length); + TrimRepresentation(buffer); + CHECK_EQ("7989", buffer.start()); + CHECK_EQ(192, point); + + v = 1.0000000000000012800000000e+17; + BignumDtoa(v, BIGNUM_DTOA_FIXED, 1, buffer, &length, &point); + CHECK_GE(1, length - point); + TrimRepresentation(buffer); + CHECK_EQ("100000000000000128", buffer.start()); + CHECK_EQ(18, point); +} + + +TEST(BignumDtoaShortestVariousFloats) { + char buffer_container[kBufferSize]; + Vector buffer(buffer_container, kBufferSize); + int length; + int point; + + float min_float = 1e-45f; + BignumDtoa(min_float, BIGNUM_DTOA_SHORTEST_SINGLE, 0, + buffer, &length, &point); + CHECK_EQ("1", buffer.start()); + CHECK_EQ(-44, point); + + + float max_float = 3.4028234e38f; + BignumDtoa(max_float, BIGNUM_DTOA_SHORTEST_SINGLE, 0, + buffer, &length, &point); + CHECK_EQ("34028235", buffer.start()); + CHECK_EQ(39, point); + + BignumDtoa(4294967272.0f, BIGNUM_DTOA_SHORTEST_SINGLE, 0, + buffer, &length, &point); + CHECK_EQ("42949673", buffer.start()); + CHECK_EQ(10, point); + + BignumDtoa(3.32306998946228968226e+35f, BIGNUM_DTOA_SHORTEST_SINGLE, 0, + buffer, &length, &point); + CHECK_EQ("332307", buffer.start()); + CHECK_EQ(36, point); + + BignumDtoa(1.23405349260765015351e-41f, BIGNUM_DTOA_SHORTEST_SINGLE, 0, + buffer, &length, &point); + CHECK_EQ("12341", buffer.start()); + CHECK_EQ(-40, point); + + BignumDtoa(3.3554432e7, BIGNUM_DTOA_SHORTEST_SINGLE, 0, + buffer, &length, &point); + CHECK_EQ("33554432", buffer.start()); + CHECK_EQ(8, point); + + BignumDtoa(3.26494756798464e14f, BIGNUM_DTOA_SHORTEST_SINGLE, 0, + buffer, &length, &point); + CHECK_EQ("32649476", buffer.start()); + CHECK_EQ(15, point); + + BignumDtoa(3.91132223637771935344e37f, BIGNUM_DTOA_SHORTEST_SINGLE, 0, + buffer, &length, &point); + CHECK_EQ("39113222", buffer.start()); + CHECK_EQ(38, point); + + uint32_t smallest_normal32 = 0x00800000; + double v = Single(smallest_normal32).value(); + BignumDtoa(v, BIGNUM_DTOA_SHORTEST_SINGLE, 0, buffer, &length, &point); + CHECK_EQ("11754944", buffer.start()); + CHECK_EQ(-37, point); + + uint32_t largest_denormal32 = 0x007FFFFF; + v = Single(largest_denormal32).value(); + BignumDtoa(v, BIGNUM_DTOA_SHORTEST_SINGLE, 0, buffer, &length, &point); + CHECK_EQ("11754942", buffer.start()); + CHECK_EQ(-37, point); +} + + +TEST(BignumDtoaGayShortest) { + char buffer_container[kBufferSize]; + Vector buffer(buffer_container, kBufferSize); + int length; + int point; + + Vector precomputed = + PrecomputedShortestRepresentations(); + for (int i = 0; i < precomputed.length(); ++i) { + const PrecomputedShortest current_test = precomputed[i]; + double v = current_test.v; + BignumDtoa(v, BIGNUM_DTOA_SHORTEST, 0, buffer, &length, &point); + CHECK_EQ(current_test.decimal_point, point); + CHECK_EQ(current_test.representation, buffer.start()); + } +} + + +TEST(BignumDtoaGayShortestSingle) { + char buffer_container[kBufferSize]; + Vector buffer(buffer_container, kBufferSize); + int length; + int point; + + Vector precomputed = + PrecomputedShortestSingleRepresentations(); + for (int i = 0; i < precomputed.length(); ++i) { + const PrecomputedShortestSingle current_test = precomputed[i]; + float v = current_test.v; + BignumDtoa(v, BIGNUM_DTOA_SHORTEST_SINGLE, 0, buffer, &length, &point); + CHECK_EQ(current_test.decimal_point, point); + CHECK_EQ(current_test.representation, buffer.start()); + } +} + + +TEST(BignumDtoaGayFixed) { + char buffer_container[kBufferSize]; + Vector buffer(buffer_container, kBufferSize); + int length; + int point; + + Vector precomputed = + PrecomputedFixedRepresentations(); + for (int i = 0; i < precomputed.length(); ++i) { + const PrecomputedFixed current_test = precomputed[i]; + double v = current_test.v; + int number_digits = current_test.number_digits; + BignumDtoa(v, BIGNUM_DTOA_FIXED, number_digits, buffer, &length, &point); + CHECK_EQ(current_test.decimal_point, point); + CHECK_GE(number_digits, length - point); + TrimRepresentation(buffer); + CHECK_EQ(current_test.representation, buffer.start()); + } +} + + +TEST(BignumDtoaGayPrecision) { + char buffer_container[kBufferSize]; + Vector buffer(buffer_container, kBufferSize); + int length; + int point; + + Vector precomputed = + PrecomputedPrecisionRepresentations(); + for (int i = 0; i < precomputed.length(); ++i) { + const PrecomputedPrecision current_test = precomputed[i]; + double v = current_test.v; + int number_digits = current_test.number_digits; + BignumDtoa(v, BIGNUM_DTOA_PRECISION, number_digits, + buffer, &length, &point); + CHECK_EQ(current_test.decimal_point, point); + CHECK_GE(number_digits, length); + TrimRepresentation(buffer); + CHECK_EQ(current_test.representation, buffer.start()); + } +} diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/test/cctest/test-conversions.cc julia-0.2.1~quantal7/deps/double-conversion-1.1.1/test/cctest/test-conversions.cc --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/test/cctest/test-conversions.cc 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/test/cctest/test-conversions.cc 2014-02-19 10:15:08.000000000 +0000 @@ -0,0 +1,4571 @@ +// Copyright 2012 the V8 project authors. All rights reserved. + +#include + +#include "cctest.h" +#include "double-conversion.h" +#include "ieee.h" +#include "utils.h" + +// DoubleToString is already tested in test-dtoa.cc. + +using namespace double_conversion; + + +TEST(DoubleToShortest) { + const int kBufferSize = 128; + char buffer[kBufferSize]; + StringBuilder builder(buffer, kBufferSize); + int flags = DoubleToStringConverter::UNIQUE_ZERO | + DoubleToStringConverter::EMIT_POSITIVE_EXPONENT_SIGN; + DoubleToStringConverter dc(flags, NULL, NULL, 'e', -6, 21, 0, 0); + + CHECK(dc.ToShortest(0.0, &builder)); + CHECK_EQ("0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(12345.0, &builder)); + CHECK_EQ("12345", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(12345e23, &builder)); + CHECK_EQ("1.2345e+27", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(1e21, &builder)); + CHECK_EQ("1e+21", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(1e20, &builder)); + CHECK_EQ("100000000000000000000", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(111111111111111111111.0, &builder)); + CHECK_EQ("111111111111111110000", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(1111111111111111111111.0, &builder)); + CHECK_EQ("1.1111111111111111e+21", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(11111111111111111111111.0, &builder)); + CHECK_EQ("1.1111111111111111e+22", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(-0.00001, &builder)); + CHECK_EQ("-0.00001", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(-0.000001, &builder)); + CHECK_EQ("-0.000001", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(-0.0000001, &builder)); + CHECK_EQ("-1e-7", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(-0.0, &builder)); + CHECK_EQ("0", builder.Finalize()); + + flags = DoubleToStringConverter::NO_FLAGS; + DoubleToStringConverter dc2(flags, NULL, NULL, 'e', -1, 1, 0, 0); + builder.Reset(); + CHECK(dc2.ToShortest(0.1, &builder)); + CHECK_EQ("0.1", builder.Finalize()); + + builder.Reset(); + CHECK(dc2.ToShortest(0.01, &builder)); + CHECK_EQ("1e-2", builder.Finalize()); + + builder.Reset(); + CHECK(dc2.ToShortest(1.0, &builder)); + CHECK_EQ("1", builder.Finalize()); + + builder.Reset(); + CHECK(dc2.ToShortest(10.0, &builder)); + CHECK_EQ("1e1", builder.Finalize()); + + builder.Reset(); + CHECK(dc2.ToShortest(-0.0, &builder)); + CHECK_EQ("-0", builder.Finalize()); + + flags = DoubleToStringConverter::EMIT_TRAILING_DECIMAL_POINT | + DoubleToStringConverter::EMIT_TRAILING_ZERO_AFTER_POINT; + DoubleToStringConverter dc3(flags, NULL, NULL, 'E', -5, 5, 0, 0); + + builder.Reset(); + CHECK(dc3.ToShortest(0.1, &builder)); + CHECK_EQ("0.1", builder.Finalize()); + + builder.Reset(); + CHECK(dc3.ToShortest(1.0, &builder)); + CHECK_EQ("1.0", builder.Finalize()); + + builder.Reset(); + CHECK(dc3.ToShortest(10000.0, &builder)); + CHECK_EQ("10000.0", builder.Finalize()); + + builder.Reset(); + CHECK(dc3.ToShortest(100000.0, &builder)); + CHECK_EQ("1E5", builder.Finalize()); + + // Test the examples in the comments of ToShortest. + flags = DoubleToStringConverter::EMIT_POSITIVE_EXPONENT_SIGN; + DoubleToStringConverter dc4(flags, NULL, NULL, 'e', -6, 21, 0, 0); + + builder.Reset(); + CHECK(dc4.ToShortest(0.000001, &builder)); + CHECK_EQ("0.000001", builder.Finalize()); + + builder.Reset(); + CHECK(dc4.ToShortest(0.0000001, &builder)); + CHECK_EQ("1e-7", builder.Finalize()); + + builder.Reset(); + CHECK(dc4.ToShortest(111111111111111111111.0, &builder)); + CHECK_EQ("111111111111111110000", builder.Finalize()); + + builder.Reset(); + CHECK(dc4.ToShortest(100000000000000000000.0, &builder)); + CHECK_EQ("100000000000000000000", builder.Finalize()); + + builder.Reset(); + CHECK(dc4.ToShortest(1111111111111111111111.0, &builder)); + CHECK_EQ("1.1111111111111111e+21", builder.Finalize()); + + // Test special value handling. + DoubleToStringConverter dc5(flags, NULL, NULL, 'e', 0, 0, 0, 0); + + builder.Reset(); + CHECK(!dc5.ToShortest(Double::Infinity(), &builder)); + + builder.Reset(); + CHECK(!dc5.ToShortest(-Double::Infinity(), &builder)); + + builder.Reset(); + CHECK(!dc5.ToShortest(Double::NaN(), &builder)); + + builder.Reset(); + CHECK(!dc5.ToShortest(-Double::NaN(), &builder)); + + DoubleToStringConverter dc6(flags, "Infinity", "NaN", 'e', 0, 0, 0, 0); + + builder.Reset(); + CHECK(dc6.ToShortest(Double::Infinity(), &builder)); + CHECK_EQ("Infinity", builder.Finalize()); + + builder.Reset(); + CHECK(dc6.ToShortest(-Double::Infinity(), &builder)); + CHECK_EQ("-Infinity", builder.Finalize()); + + builder.Reset(); + CHECK(dc6.ToShortest(Double::NaN(), &builder)); + CHECK_EQ("NaN", builder.Finalize()); + + builder.Reset(); + CHECK(dc6.ToShortest(-Double::NaN(), &builder)); + CHECK_EQ("NaN", builder.Finalize()); +} + + +TEST(DoubleToShortestSingle) { + const int kBufferSize = 128; + char buffer[kBufferSize]; + StringBuilder builder(buffer, kBufferSize); + int flags = DoubleToStringConverter::UNIQUE_ZERO | + DoubleToStringConverter::EMIT_POSITIVE_EXPONENT_SIGN; + DoubleToStringConverter dc(flags, NULL, NULL, 'e', -6, 21, 0, 0); + + CHECK(dc.ToShortestSingle(0.0f, &builder)); + CHECK_EQ("0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortestSingle(12345.0f, &builder)); + CHECK_EQ("12345", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortestSingle(12345e23f, &builder)); + CHECK_EQ("1.2345e+27", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortestSingle(1e21f, &builder)); + CHECK_EQ("1e+21", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortestSingle(1e20f, &builder)); + CHECK_EQ("100000000000000000000", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortestSingle(111111111111111111111.0f, &builder)); + CHECK_EQ("111111110000000000000", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortestSingle(1111111111111111111111.0f, &builder)); + CHECK_EQ("1.11111114e+21", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortestSingle(11111111111111111111111.0f, &builder)); + CHECK_EQ("1.1111111e+22", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortestSingle(-0.00001f, &builder)); + CHECK_EQ("-0.00001", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortestSingle(-0.000001f, &builder)); + CHECK_EQ("-0.000001", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortestSingle(-0.0000001f, &builder)); + CHECK_EQ("-1e-7", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortestSingle(-0.0f, &builder)); + CHECK_EQ("0", builder.Finalize()); + + flags = DoubleToStringConverter::NO_FLAGS; + DoubleToStringConverter dc2(flags, NULL, NULL, 'e', -1, 1, 0, 0); + builder.Reset(); + CHECK(dc2.ToShortestSingle(0.1f, &builder)); + CHECK_EQ("0.1", builder.Finalize()); + + builder.Reset(); + CHECK(dc2.ToShortestSingle(0.01f, &builder)); + CHECK_EQ("1e-2", builder.Finalize()); + + builder.Reset(); + CHECK(dc2.ToShortestSingle(1.0f, &builder)); + CHECK_EQ("1", builder.Finalize()); + + builder.Reset(); + CHECK(dc2.ToShortestSingle(10.0f, &builder)); + CHECK_EQ("1e1", builder.Finalize()); + + builder.Reset(); + CHECK(dc2.ToShortestSingle(-0.0f, &builder)); + CHECK_EQ("-0", builder.Finalize()); + + flags = DoubleToStringConverter::EMIT_TRAILING_DECIMAL_POINT | + DoubleToStringConverter::EMIT_TRAILING_ZERO_AFTER_POINT; + DoubleToStringConverter dc3(flags, NULL, NULL, 'E', -5, 5, 0, 0); + + builder.Reset(); + CHECK(dc3.ToShortestSingle(0.1f, &builder)); + CHECK_EQ("0.1", builder.Finalize()); + + builder.Reset(); + CHECK(dc3.ToShortestSingle(1.0f, &builder)); + CHECK_EQ("1.0", builder.Finalize()); + + builder.Reset(); + CHECK(dc3.ToShortestSingle(10000.0f, &builder)); + CHECK_EQ("10000.0", builder.Finalize()); + + builder.Reset(); + CHECK(dc3.ToShortestSingle(100000.0f, &builder)); + CHECK_EQ("1E5", builder.Finalize()); + + // Test the examples in the comments of ToShortestSingle. + flags = DoubleToStringConverter::EMIT_POSITIVE_EXPONENT_SIGN; + DoubleToStringConverter dc4(flags, NULL, NULL, 'e', -6, 21, 0, 0); + + builder.Reset(); + CHECK(dc4.ToShortestSingle(0.000001f, &builder)); + CHECK_EQ("0.000001", builder.Finalize()); + + builder.Reset(); + CHECK(dc4.ToShortestSingle(0.0000001f, &builder)); + CHECK_EQ("1e-7", builder.Finalize()); + + builder.Reset(); + CHECK(dc4.ToShortestSingle(111111111111111111111.0f, &builder)); + CHECK_EQ("111111110000000000000", builder.Finalize()); + + builder.Reset(); + CHECK(dc4.ToShortestSingle(100000000000000000000.0f, &builder)); + CHECK_EQ("100000000000000000000", builder.Finalize()); + + builder.Reset(); + CHECK(dc4.ToShortestSingle(1111111111111111111111.0f, &builder)); + CHECK_EQ("1.11111114e+21", builder.Finalize()); + + // Test special value handling. + DoubleToStringConverter dc5(flags, NULL, NULL, 'e', 0, 0, 0, 0); + + builder.Reset(); + CHECK(!dc5.ToShortestSingle(Single::Infinity(), &builder)); + + builder.Reset(); + CHECK(!dc5.ToShortestSingle(-Single::Infinity(), &builder)); + + builder.Reset(); + CHECK(!dc5.ToShortestSingle(Single::NaN(), &builder)); + + builder.Reset(); + CHECK(!dc5.ToShortestSingle(-Single::NaN(), &builder)); + + DoubleToStringConverter dc6(flags, "Infinity", "NaN", 'e', 0, 0, 0, 0); + + builder.Reset(); + CHECK(dc6.ToShortestSingle(Single::Infinity(), &builder)); + CHECK_EQ("Infinity", builder.Finalize()); + + builder.Reset(); + CHECK(dc6.ToShortestSingle(-Single::Infinity(), &builder)); + CHECK_EQ("-Infinity", builder.Finalize()); + + builder.Reset(); + CHECK(dc6.ToShortestSingle(Single::NaN(), &builder)); + CHECK_EQ("NaN", builder.Finalize()); + + builder.Reset(); + CHECK(dc6.ToShortestSingle(-Single::NaN(), &builder)); + CHECK_EQ("NaN", builder.Finalize()); +} + + +TEST(DoubleToFixed) { + const int kBufferSize = 128; + char buffer[kBufferSize]; + StringBuilder builder(buffer, kBufferSize); + int flags = DoubleToStringConverter::EMIT_POSITIVE_EXPONENT_SIGN | + DoubleToStringConverter::UNIQUE_ZERO; + DoubleToStringConverter dc(flags, "Infinity", "NaN", 'e', + 0, 0, 0, 0); // Padding zeroes. + + CHECK(dc.ToFixed(0.0, 0, &builder)); + CHECK_EQ("0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(-0.0, 0, &builder)); + CHECK_EQ("0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(-0.0, 1, &builder)); + CHECK_EQ("0.0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(-0.0, 1, &builder)); + CHECK_EQ("0.0", builder.Finalize()); + + ASSERT(DoubleToStringConverter::kMaxFixedDigitsBeforePoint == 60); + ASSERT(DoubleToStringConverter::kMaxFixedDigitsAfterPoint == 60); + builder.Reset(); + CHECK(dc.ToFixed( + 0.0, DoubleToStringConverter::kMaxFixedDigitsAfterPoint, &builder)); + CHECK_EQ("0.000000000000000000000000000000000000000000000000000000000000", + builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed( + 9e59, DoubleToStringConverter::kMaxFixedDigitsAfterPoint, &builder)); + CHECK_EQ("899999999999999918767229449717619953810131273674690656206848." + "000000000000000000000000000000000000000000000000000000000000", + builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed( + -9e59, DoubleToStringConverter::kMaxFixedDigitsAfterPoint, &builder)); + CHECK_EQ("-899999999999999918767229449717619953810131273674690656206848." + "000000000000000000000000000000000000000000000000000000000000", + builder.Finalize()); + + builder.Reset(); + CHECK(!dc.ToFixed( + 1e60, DoubleToStringConverter::kMaxFixedDigitsAfterPoint, &builder)); + CHECK_EQ(0, builder.position()); + + builder.Reset(); + CHECK(!dc.ToFixed( + 9e59, DoubleToStringConverter::kMaxFixedDigitsAfterPoint + 1, &builder)); + CHECK_EQ(0, builder.position()); + + builder.Reset(); + CHECK(dc.ToFixed(3.0, 0, &builder)); + CHECK_EQ("3", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(3.23, 1, &builder)); + CHECK_EQ("3.2", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(3.23, 3, &builder)); + CHECK_EQ("3.230", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(0.0323, 2, &builder)); + CHECK_EQ("0.03", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(0.0373, 2, &builder)); + CHECK_EQ("0.04", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(0.0000373, 2, &builder)); + CHECK_EQ("0.00", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(1.5, 0, &builder)); + CHECK_EQ("2", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(2.5, 0, &builder)); + CHECK_EQ("3", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(3.5, 0, &builder)); + CHECK_EQ("4", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(0.15, 1, &builder)); + CHECK_EQ("0.1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(0.25, 1, &builder)); + CHECK_EQ("0.3", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(0.35, 1, &builder)); + CHECK_EQ("0.3", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(0.45, 1, &builder)); + CHECK_EQ("0.5", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(0.55, 1, &builder)); + CHECK_EQ("0.6", builder.Finalize()); + + // Test positive/negative zeroes. + int flags2 = DoubleToStringConverter::EMIT_POSITIVE_EXPONENT_SIGN; + DoubleToStringConverter dc2(flags2, "Infinity", "NaN", 'e', + 0, 0, 0, 0); // Padding zeroes. + builder.Reset(); + CHECK(dc2.ToFixed(0.0, 1, &builder)); + CHECK_EQ("0.0", builder.Finalize()); + + builder.Reset(); + CHECK(dc2.ToFixed(-0.0, 1, &builder)); + CHECK_EQ("-0.0", builder.Finalize()); + + // Verify the trailing dot is emitted. + int flags3 = DoubleToStringConverter::EMIT_POSITIVE_EXPONENT_SIGN | + DoubleToStringConverter::EMIT_TRAILING_DECIMAL_POINT; + DoubleToStringConverter dc3(flags3, "Infinity", "NaN", 'e', + 0, 0, 0, 0); // Padding zeroes. + builder.Reset(); + CHECK(dc3.ToFixed(0.0, 0, &builder)); + CHECK_EQ("0.", builder.Finalize()); + + builder.Reset(); + CHECK(dc3.ToFixed(-0.0, 0, &builder)); + CHECK_EQ("-0.", builder.Finalize()); + + builder.Reset(); + CHECK(dc3.ToFixed(1.0, 0, &builder)); + CHECK_EQ("1.", builder.Finalize()); + + builder.Reset(); + CHECK(dc3.ToFixed(-1.0, 0, &builder)); + CHECK_EQ("-1.", builder.Finalize()); + + // Verify no trailing zero is emitted, even if the configuration is set. + // The given parameter takes precedence. + int flags4 = DoubleToStringConverter::EMIT_POSITIVE_EXPONENT_SIGN | + DoubleToStringConverter::EMIT_TRAILING_DECIMAL_POINT | + DoubleToStringConverter::EMIT_TRAILING_ZERO_AFTER_POINT; + DoubleToStringConverter dc4(flags4, "Infinity", "NaN", 'e', + 0, 0, 0, 0); // Padding zeroes. + builder.Reset(); + CHECK(dc4.ToFixed(0.0, 0, &builder)); + CHECK_EQ("0.0", builder.Finalize()); + + builder.Reset(); + CHECK(dc4.ToFixed(-0.0, 0, &builder)); + CHECK_EQ("-0.0", builder.Finalize()); + + builder.Reset(); + CHECK(dc4.ToFixed(1.0, 0, &builder)); + CHECK_EQ("1.0", builder.Finalize()); + + builder.Reset(); + CHECK(dc4.ToFixed(-1.0, 0, &builder)); + CHECK_EQ("-1.0", builder.Finalize()); + + // Test the examples in the comments of ToFixed. + flags = DoubleToStringConverter::NO_FLAGS; + DoubleToStringConverter dc5(flags, NULL, NULL, 'e', 0, 0, 0, 0); + + builder.Reset(); + CHECK(dc5.ToFixed(3.12, 1, &builder)); + CHECK_EQ("3.1", builder.Finalize()); + + builder.Reset(); + CHECK(dc5.ToFixed(3.1415, 3, &builder)); + CHECK_EQ("3.142", builder.Finalize()); + + builder.Reset(); + CHECK(dc5.ToFixed(1234.56789, 4, &builder)); + CHECK_EQ("1234.5679", builder.Finalize()); + + builder.Reset(); + CHECK(dc5.ToFixed(1.23, 5, &builder)); + CHECK_EQ("1.23000", builder.Finalize()); + + builder.Reset(); + CHECK(dc5.ToFixed(0.1, 4, &builder)); + CHECK_EQ("0.1000", builder.Finalize()); + + builder.Reset(); + CHECK(dc5.ToFixed(1e30, 2, &builder)); + CHECK_EQ("1000000000000000019884624838656.00", builder.Finalize()); + + builder.Reset(); + CHECK(dc5.ToFixed(0.1, 30, &builder)); + CHECK_EQ("0.100000000000000005551115123126", builder.Finalize()); + + builder.Reset(); + CHECK(dc5.ToFixed(0.1, 17, &builder)); + CHECK_EQ("0.10000000000000001", builder.Finalize()); + + builder.Reset(); + CHECK(dc5.ToFixed(123.45, 0, &builder)); + CHECK_EQ("123", builder.Finalize()); + + builder.Reset(); + CHECK(dc5.ToFixed(0.678, 0, &builder)); + CHECK_EQ("1", builder.Finalize()); + + flags = DoubleToStringConverter::EMIT_TRAILING_DECIMAL_POINT; + DoubleToStringConverter dc6(flags, NULL, NULL, 'e', 0, 0, 0, 0); + + builder.Reset(); + CHECK(dc6.ToFixed(123.45, 0, &builder)); + CHECK_EQ("123.", builder.Finalize()); + + builder.Reset(); + CHECK(dc6.ToFixed(0.678, 0, &builder)); + CHECK_EQ("1.", builder.Finalize()); + + flags = DoubleToStringConverter::EMIT_TRAILING_DECIMAL_POINT | + DoubleToStringConverter::EMIT_TRAILING_ZERO_AFTER_POINT; + DoubleToStringConverter dc7(flags, NULL, NULL, 'e', 0, 0, 0, 0); + + builder.Reset(); + CHECK(dc7.ToFixed(123.45, 0, &builder)); + CHECK_EQ("123.0", builder.Finalize()); + + builder.Reset(); + CHECK(dc7.ToFixed(0.678, 0, &builder)); + CHECK_EQ("1.0", builder.Finalize()); + + // Test special value handling. + DoubleToStringConverter dc8(flags, NULL, NULL, 'e', 0, 0, 0, 0); + + builder.Reset(); + CHECK(!dc8.ToFixed(Double::Infinity(), 1, &builder)); + + builder.Reset(); + CHECK(!dc8.ToFixed(-Double::Infinity(), 1, &builder)); + + builder.Reset(); + CHECK(!dc8.ToFixed(Double::NaN(), 1, &builder)); + + builder.Reset(); + CHECK(!dc8.ToFixed(-Double::NaN(), 1, &builder)); + + DoubleToStringConverter dc9(flags, "Infinity", "NaN", 'e', 0, 0, 0, 0); + + builder.Reset(); + CHECK(dc9.ToFixed(Double::Infinity(), 1, &builder)); + CHECK_EQ("Infinity", builder.Finalize()); + + builder.Reset(); + CHECK(dc9.ToFixed(-Double::Infinity(), 1, &builder)); + CHECK_EQ("-Infinity", builder.Finalize()); + + builder.Reset(); + CHECK(dc9.ToFixed(Double::NaN(), 1, &builder)); + CHECK_EQ("NaN", builder.Finalize()); + + builder.Reset(); + CHECK(dc9.ToFixed(-Double::NaN(), 1, &builder)); + CHECK_EQ("NaN", builder.Finalize()); +} + + +TEST(DoubleToExponential) { + const int kBufferSize = 256; + char buffer[kBufferSize]; + int flags = DoubleToStringConverter::EMIT_POSITIVE_EXPONENT_SIGN | + DoubleToStringConverter::UNIQUE_ZERO; + StringBuilder builder(buffer, kBufferSize); + DoubleToStringConverter dc(flags, "Infinity", "NaN", 'e', 0, 0, 0, 0); + + builder.Reset(); + CHECK(dc.ToExponential(0.0, 5, &builder)); + CHECK_EQ("0.00000e+0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(0.0, 0, &builder)); + CHECK_EQ("0e+0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(0.0, 1, &builder)); + CHECK_EQ("0.0e+0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(0.123456, 5, &builder)); + CHECK_EQ("1.23456e-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(1.2, 1, &builder)); + CHECK_EQ("1.2e+0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-0.0, 1, &builder)); + CHECK_EQ("0.0e+0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(0.0, 2, &builder)); + CHECK_EQ("0.00e+0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-0.0, 2, &builder)); + CHECK_EQ("0.00e+0", builder.Finalize()); + + ASSERT(DoubleToStringConverter::kMaxExponentialDigits == 120); + builder.Reset(); + CHECK(dc.ToExponential( + 0.0, DoubleToStringConverter::kMaxExponentialDigits, &builder)); + CHECK_EQ("0.00000000000000000000000000000000000000000000000000000000000" + "0000000000000000000000000000000000000000000000000000000000000e+0", + builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential( + 9e59, DoubleToStringConverter::kMaxExponentialDigits, &builder)); + CHECK_EQ("8.99999999999999918767229449717619953810131273674690656206848" + "0000000000000000000000000000000000000000000000000000000000000e+59", + builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential( + -9e59, DoubleToStringConverter::kMaxExponentialDigits, &builder)); + CHECK_EQ("-8.99999999999999918767229449717619953810131273674690656206848" + "0000000000000000000000000000000000000000000000000000000000000e+59", + builder.Finalize()); + + const double max_double = 1.7976931348623157e308; + builder.Reset(); + CHECK(dc.ToExponential( + max_double, DoubleToStringConverter::kMaxExponentialDigits, &builder)); + CHECK_EQ("1.79769313486231570814527423731704356798070567525844996598917" + "4768031572607800285387605895586327668781715404589535143824642e+308", + builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(0.000001, 2, &builder)); + CHECK_EQ("1.00e-6", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(0.0000001, 2, &builder)); + CHECK_EQ("1.00e-7", builder.Finalize()); + + // Test the examples in the comments of ToExponential. + flags = DoubleToStringConverter::NO_FLAGS; + DoubleToStringConverter dc2(flags, "Infinity", "NaN", 'e', 0, 0, 0, 0); + + builder.Reset(); + CHECK(dc2.ToExponential(3.12, 1, &builder)); + CHECK_EQ("3.1e0", builder.Finalize()); + + builder.Reset(); + CHECK(dc2.ToExponential(5.0, 3, &builder)); + CHECK_EQ("5.000e0", builder.Finalize()); + + builder.Reset(); + CHECK(dc2.ToExponential(0.001, 2, &builder)); + CHECK_EQ("1.00e-3", builder.Finalize()); + + builder.Reset(); + CHECK(dc2.ToExponential(3.1415, -1, &builder)); + CHECK_EQ("3.1415e0", builder.Finalize()); + + builder.Reset(); + CHECK(dc2.ToExponential(3.1415, 4, &builder)); + CHECK_EQ("3.1415e0", builder.Finalize()); + + builder.Reset(); + CHECK(dc2.ToExponential(3.1415, 3, &builder)); + CHECK_EQ("3.142e0", builder.Finalize()); + + builder.Reset(); + CHECK(dc2.ToExponential(123456789000000, 3, &builder)); + CHECK_EQ("1.235e14", builder.Finalize()); + + builder.Reset(); + CHECK(dc2.ToExponential(1000000000000000019884624838656.0, -1, &builder)); + CHECK_EQ("1e30", builder.Finalize()); + + builder.Reset(); + CHECK(dc2.ToExponential(1000000000000000019884624838656.0, 32, &builder)); + CHECK_EQ("1.00000000000000001988462483865600e30", builder.Finalize()); + + builder.Reset(); + CHECK(dc2.ToExponential(1234, 0, &builder)); + CHECK_EQ("1e3", builder.Finalize()); + + // Test special value handling. + DoubleToStringConverter dc3(flags, NULL, NULL, 'e', 0, 0, 0, 0); + + builder.Reset(); + CHECK(!dc3.ToExponential(Double::Infinity(), 1, &builder)); + + builder.Reset(); + CHECK(!dc3.ToExponential(-Double::Infinity(), 1, &builder)); + + builder.Reset(); + CHECK(!dc3.ToExponential(Double::NaN(), 1, &builder)); + + builder.Reset(); + CHECK(!dc3.ToExponential(-Double::NaN(), 1, &builder)); + + DoubleToStringConverter dc4(flags, "Infinity", "NaN", 'e', 0, 0, 0, 0); + + builder.Reset(); + CHECK(dc4.ToExponential(Double::Infinity(), 1, &builder)); + CHECK_EQ("Infinity", builder.Finalize()); + + builder.Reset(); + CHECK(dc4.ToExponential(-Double::Infinity(), 1, &builder)); + CHECK_EQ("-Infinity", builder.Finalize()); + + builder.Reset(); + CHECK(dc4.ToExponential(Double::NaN(), 1, &builder)); + CHECK_EQ("NaN", builder.Finalize()); + + builder.Reset(); + CHECK(dc4.ToExponential(-Double::NaN(), 1, &builder)); + CHECK_EQ("NaN", builder.Finalize()); +} + + +TEST(DoubleToPrecision) { + const int kBufferSize = 256; + char buffer[kBufferSize]; + int flags = DoubleToStringConverter::EMIT_POSITIVE_EXPONENT_SIGN | + DoubleToStringConverter::UNIQUE_ZERO; + StringBuilder builder(buffer, kBufferSize); + DoubleToStringConverter dc(flags, "Infinity", "NaN", 'e', + 0, 0, // Padding zeroes for shortest mode. + 6, 0); // Padding zeroes for precision mode. + + ASSERT(DoubleToStringConverter::kMinPrecisionDigits == 1); + CHECK(dc.ToPrecision(0.0, 1, &builder)); + CHECK_EQ("0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(-0.0, 1, &builder)); + CHECK_EQ("0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(0.0, 2, &builder)); + CHECK_EQ("0.0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(-0.0, 2, &builder)); + CHECK_EQ("0.0", builder.Finalize()); + + ASSERT(DoubleToStringConverter::kMaxPrecisionDigits == 120); + builder.Reset(); + CHECK(dc.ToPrecision( + 0.0, DoubleToStringConverter::kMaxPrecisionDigits, &builder)); + CHECK_EQ("0.00000000000000000000000000000000000000000000000000000000000" + "000000000000000000000000000000000000000000000000000000000000", + builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision( + 9e59, DoubleToStringConverter::kMaxPrecisionDigits, &builder)); + CHECK_EQ("899999999999999918767229449717619953810131273674690656206848." + "000000000000000000000000000000000000000000000000000000000000", + builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision( + -9e59, DoubleToStringConverter::kMaxPrecisionDigits, &builder)); + CHECK_EQ("-899999999999999918767229449717619953810131273674690656206848." + "000000000000000000000000000000000000000000000000000000000000", + builder.Finalize()); + + const double max_double = 1.7976931348623157e308; + builder.Reset(); + CHECK(dc.ToPrecision( + max_double, DoubleToStringConverter::kMaxPrecisionDigits, &builder)); + CHECK_EQ("1.79769313486231570814527423731704356798070567525844996598917" + "476803157260780028538760589558632766878171540458953514382464e+308", + builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(0.000001, 2, &builder)); + CHECK_EQ("0.0000010", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(0.0000001, 2, &builder)); + CHECK_EQ("1.0e-7", builder.Finalize()); + + flags = DoubleToStringConverter::NO_FLAGS; + DoubleToStringConverter dc2(flags, NULL, NULL, 'e', 0, 0, 0, 1); + builder.Reset(); + CHECK(dc2.ToPrecision(230.0, 2, &builder)); + CHECK_EQ("230", builder.Finalize()); + + builder.Reset(); + CHECK(dc2.ToPrecision(23.0, 2, &builder)); + CHECK_EQ("23", builder.Finalize()); + + builder.Reset(); + CHECK(dc2.ToPrecision(2.30, 2, &builder)); + CHECK_EQ("2.3", builder.Finalize()); + + builder.Reset(); + CHECK(dc2.ToPrecision(2300.0, 2, &builder)); + CHECK_EQ("2.3e3", builder.Finalize()); + + flags = DoubleToStringConverter::EMIT_TRAILING_DECIMAL_POINT; + DoubleToStringConverter dc3(flags, NULL, NULL, 'e', 0, 0, 0, 1); + builder.Reset(); + CHECK(dc3.ToPrecision(230.0, 2, &builder)); + CHECK_EQ("230.", builder.Finalize()); + + builder.Reset(); + CHECK(dc3.ToPrecision(23.0, 2, &builder)); + CHECK_EQ("23.", builder.Finalize()); + + builder.Reset(); + CHECK(dc3.ToPrecision(2.30, 2, &builder)); + CHECK_EQ("2.3", builder.Finalize()); + + builder.Reset(); + CHECK(dc3.ToPrecision(2300.0, 2, &builder)); + CHECK_EQ("2.3e3", builder.Finalize()); + + flags = DoubleToStringConverter::EMIT_TRAILING_DECIMAL_POINT | + DoubleToStringConverter::EMIT_TRAILING_ZERO_AFTER_POINT; + DoubleToStringConverter dc4(flags, NULL, NULL, 'e', 0, 0, 0, 1); + builder.Reset(); + CHECK(dc4.ToPrecision(230.0, 2, &builder)); + CHECK_EQ("2.3e2", builder.Finalize()); + + builder.Reset(); + CHECK(dc4.ToPrecision(23.0, 2, &builder)); + CHECK_EQ("23.0", builder.Finalize()); + + builder.Reset(); + CHECK(dc4.ToPrecision(2.30, 2, &builder)); + CHECK_EQ("2.3", builder.Finalize()); + + builder.Reset(); + CHECK(dc4.ToPrecision(2300.0, 2, &builder)); + CHECK_EQ("2.3e3", builder.Finalize()); + + // Test the examples in the comments of ToPrecision. + flags = DoubleToStringConverter::NO_FLAGS; + DoubleToStringConverter dc5(flags, "Infinity", "NaN", 'e', 0, 0, 6, 1); + flags = DoubleToStringConverter::EMIT_TRAILING_DECIMAL_POINT; + DoubleToStringConverter dc6(flags, "Infinity", "NaN", 'e', 0, 0, 6, 1); + flags = DoubleToStringConverter::EMIT_TRAILING_DECIMAL_POINT | + DoubleToStringConverter::EMIT_TRAILING_ZERO_AFTER_POINT; + DoubleToStringConverter dc7(flags, "Infinity", "NaN", 'e', 0, 0, 6, 1); + + builder.Reset(); + CHECK(dc5.ToPrecision(0.0000012345, 2, &builder)); + CHECK_EQ("0.0000012", builder.Finalize()); + + builder.Reset(); + CHECK(dc5.ToPrecision(0.00000012345, 2, &builder)); + CHECK_EQ("1.2e-7", builder.Finalize()); + + builder.Reset(); + CHECK(dc5.ToPrecision(230.0, 2, &builder)); + CHECK_EQ("230", builder.Finalize()); + + builder.Reset(); + CHECK(dc6.ToPrecision(230.0, 2, &builder)); + CHECK_EQ("230.", builder.Finalize()); + + builder.Reset(); + CHECK(dc7.ToPrecision(230.0, 2, &builder)); + CHECK_EQ("2.3e2", builder.Finalize()); + + flags = DoubleToStringConverter::NO_FLAGS; + DoubleToStringConverter dc8(flags, NULL, NULL, 'e', 0, 0, 6, 3); + + builder.Reset(); + CHECK(dc8.ToPrecision(123450.0, 6, &builder)); + CHECK_EQ("123450", builder.Finalize()); + + builder.Reset(); + CHECK(dc8.ToPrecision(123450.0, 5, &builder)); + CHECK_EQ("123450", builder.Finalize()); + + builder.Reset(); + CHECK(dc8.ToPrecision(123450.0, 4, &builder)); + CHECK_EQ("123500", builder.Finalize()); + + builder.Reset(); + CHECK(dc8.ToPrecision(123450.0, 3, &builder)); + CHECK_EQ("123000", builder.Finalize()); + + builder.Reset(); + CHECK(dc8.ToPrecision(123450.0, 2, &builder)); + CHECK_EQ("1.2e5", builder.Finalize()); + + // Test special value handling. + builder.Reset(); + CHECK(!dc8.ToPrecision(Double::Infinity(), 1, &builder)); + + builder.Reset(); + CHECK(!dc8.ToPrecision(-Double::Infinity(), 1, &builder)); + + builder.Reset(); + CHECK(!dc8.ToPrecision(Double::NaN(), 1, &builder)); + + builder.Reset(); + CHECK(!dc8.ToPrecision(-Double::NaN(), 1, &builder)); + + builder.Reset(); + CHECK(dc7.ToPrecision(Double::Infinity(), 1, &builder)); + CHECK_EQ("Infinity", builder.Finalize()); + + builder.Reset(); + CHECK(dc7.ToPrecision(-Double::Infinity(), 1, &builder)); + CHECK_EQ("-Infinity", builder.Finalize()); + + builder.Reset(); + CHECK(dc7.ToPrecision(Double::NaN(), 1, &builder)); + CHECK_EQ("NaN", builder.Finalize()); + + builder.Reset(); + CHECK(dc7.ToPrecision(-Double::NaN(), 1, &builder)); + CHECK_EQ("NaN", builder.Finalize()); +} + + +TEST(DoubleToStringJavaScript) { + const int kBufferSize = 128; + char buffer[kBufferSize]; + StringBuilder builder(buffer, kBufferSize); + const DoubleToStringConverter& dc = + DoubleToStringConverter::EcmaScriptConverter(); + + builder.Reset(); + CHECK(dc.ToShortest(Double::NaN(), &builder)); + CHECK_EQ("NaN", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(Double::Infinity(), &builder)); + CHECK_EQ("Infinity", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(-Double::Infinity(), &builder)); + CHECK_EQ("-Infinity", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(0.0, &builder)); + CHECK_EQ("0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(9.0, &builder)); + CHECK_EQ("9", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(90.0, &builder)); + CHECK_EQ("90", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(90.12, &builder)); + CHECK_EQ("90.12", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(0.1, &builder)); + CHECK_EQ("0.1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(0.01, &builder)); + CHECK_EQ("0.01", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(0.0123, &builder)); + CHECK_EQ("0.0123", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(111111111111111111111.0, &builder)); + CHECK_EQ("111111111111111110000", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(100000000000000000000.0, &builder)); + CHECK_EQ("100000000000000000000", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(1111111111111111111111.0, &builder)); + CHECK_EQ("1.1111111111111111e+21", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(11111111111111111111111.0, &builder)); + CHECK_EQ("1.1111111111111111e+22", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(0.00001, &builder)); + CHECK_EQ("0.00001", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(0.000001, &builder)); + CHECK_EQ("0.000001", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(0.0000001, &builder)); + CHECK_EQ("1e-7", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(0.00000012, &builder)); + CHECK_EQ("1.2e-7", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(0.000000123, &builder)); + CHECK_EQ("1.23e-7", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(0.00000001, &builder)); + CHECK_EQ("1e-8", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(0.000000012, &builder)); + CHECK_EQ("1.2e-8", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(0.000000012, &builder)); + CHECK_EQ("1.2e-8", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(0.0000000123, &builder)); + CHECK_EQ("1.23e-8", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(-0.0, &builder)); + CHECK_EQ("0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(-9.0, &builder)); + CHECK_EQ("-9", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(-90.0, &builder)); + CHECK_EQ("-90", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(-90.12, &builder)); + CHECK_EQ("-90.12", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(-0.1, &builder)); + CHECK_EQ("-0.1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(-0.01, &builder)); + CHECK_EQ("-0.01", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(-0.0123, &builder)); + CHECK_EQ("-0.0123", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(-111111111111111111111.0, &builder)); + CHECK_EQ("-111111111111111110000", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(-1111111111111111111111.0, &builder)); + CHECK_EQ("-1.1111111111111111e+21", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(-11111111111111111111111.0, &builder)); + CHECK_EQ("-1.1111111111111111e+22", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(-0.00001, &builder)); + CHECK_EQ("-0.00001", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(-0.000001, &builder)); + CHECK_EQ("-0.000001", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(-0.0000001, &builder)); + CHECK_EQ("-1e-7", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(-0.00000012, &builder)); + CHECK_EQ("-1.2e-7", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(-0.000000123, &builder)); + CHECK_EQ("-1.23e-7", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(-0.00000001, &builder)); + CHECK_EQ("-1e-8", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(-0.000000012, &builder)); + CHECK_EQ("-1.2e-8", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(-0.000000012, &builder)); + CHECK_EQ("-1.2e-8", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToShortest(-0.0000000123, &builder)); + CHECK_EQ("-1.23e-8", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(Double::NaN(), 2, &builder)); + CHECK_EQ("NaN", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(Double::Infinity(), 2, &builder)); + CHECK_EQ("Infinity", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(-Double::Infinity(), 2, &builder)); + CHECK_EQ("-Infinity", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(-0.1, 1, &builder)); + CHECK_EQ("-0.1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(-0.1, 2, &builder)); + CHECK_EQ("-0.10", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(-0.1, 3, &builder)); + CHECK_EQ("-0.100", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(-0.01, 2, &builder)); + CHECK_EQ("-0.01", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(-0.01, 3, &builder)); + CHECK_EQ("-0.010", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(-0.01, 4, &builder)); + CHECK_EQ("-0.0100", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(-0.001, 2, &builder)); + CHECK_EQ("-0.00", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(-0.001, 3, &builder)); + CHECK_EQ("-0.001", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(-0.001, 4, &builder)); + CHECK_EQ("-0.0010", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(-1.0, 4, &builder)); + CHECK_EQ("-1.0000", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(-1.0, 1, &builder)); + CHECK_EQ("-1.0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(-1.0, 0, &builder)); + CHECK_EQ("-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(-12.0, 0, &builder)); + CHECK_EQ("-12", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(-1.1, 0, &builder)); + CHECK_EQ("-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(-12.1, 0, &builder)); + CHECK_EQ("-12", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(-1.12, 0, &builder)); + CHECK_EQ("-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(-12.12, 0, &builder)); + CHECK_EQ("-12", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(-0.0000006, 7, &builder)); + CHECK_EQ("-0.0000006", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(-0.00000006, 8, &builder)); + CHECK_EQ("-0.00000006", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(-0.00000006, 9, &builder)); + CHECK_EQ("-0.000000060", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(-0.00000006, 10, &builder)); + CHECK_EQ("-0.0000000600", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(-0, 0, &builder)); + CHECK_EQ("0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(-0, 1, &builder)); + CHECK_EQ("0.0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(-0, 2, &builder)); + CHECK_EQ("0.00", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(1000, 0, &builder)); + CHECK_EQ("1000", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(0.00001, 0, &builder)); + CHECK_EQ("0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(0.00001, 5, &builder)); + CHECK_EQ("0.00001", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(0.0000000000000000001, 20, &builder)); + CHECK_EQ("0.00000000000000000010", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(0.00001, 17, &builder)); + CHECK_EQ("0.00001000000000000", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(1000000000000000128.0, 0, &builder)); + CHECK_EQ("1000000000000000128", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(1000000000000000128.0, 1, &builder)); + CHECK_EQ("1000000000000000128.0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(1000000000000000128.0, 2, &builder)); + CHECK_EQ("1000000000000000128.00", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(1000000000000000128.0, 20, &builder)); + CHECK_EQ("1000000000000000128.00000000000000000000", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(0.0, 0, &builder)); + CHECK_EQ("0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(-42.0, 3, &builder)); + CHECK_EQ("-42.000", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(-1000000000000000128.0, 0, &builder)); + CHECK_EQ("-1000000000000000128", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(-0.0000000000000000001, 20, &builder)); + CHECK_EQ("-0.00000000000000000010", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(0.123123123123123, 20, &builder)); + CHECK_EQ("0.12312312312312299889", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(0.5, 0, &builder)); + CHECK_EQ("1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(-0.5, 0, &builder)); + CHECK_EQ("-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(1.25, 1, &builder)); + CHECK_EQ("1.3", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(234.20405, 4, &builder)); + CHECK_EQ("234.2040", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToFixed(234.2040506, 4, &builder)); + CHECK_EQ("234.2041", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(1.0, -1, &builder)); + CHECK_EQ("1e+0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(11.0, -1, &builder)); + CHECK_EQ("1.1e+1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(112.0, -1, &builder)); + CHECK_EQ("1.12e+2", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(1.0, 0, &builder)); + CHECK_EQ("1e+0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(11.0, 0, &builder)); + CHECK_EQ("1e+1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(112.0, 0, &builder)); + CHECK_EQ("1e+2", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(1.0, 1, &builder)); + CHECK_EQ("1.0e+0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(11.0, 1, &builder)); + CHECK_EQ("1.1e+1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(112.0, 1, &builder)); + CHECK_EQ("1.1e+2", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(1.0, 2, &builder)); + CHECK_EQ("1.00e+0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(11.0, 2, &builder)); + CHECK_EQ("1.10e+1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(112.0, 2, &builder)); + CHECK_EQ("1.12e+2", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(1.0, 3, &builder)); + CHECK_EQ("1.000e+0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(11.0, 3, &builder)); + CHECK_EQ("1.100e+1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(112.0, 3, &builder)); + CHECK_EQ("1.120e+2", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(0.1, -1, &builder)); + CHECK_EQ("1e-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(0.11, -1, &builder)); + CHECK_EQ("1.1e-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(0.112, -1, &builder)); + CHECK_EQ("1.12e-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(0.1, 0, &builder)); + CHECK_EQ("1e-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(0.11, 0, &builder)); + CHECK_EQ("1e-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(0.112, 0, &builder)); + CHECK_EQ("1e-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(0.1, 1, &builder)); + CHECK_EQ("1.0e-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(0.11, 1, &builder)); + CHECK_EQ("1.1e-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(0.112, 1, &builder)); + CHECK_EQ("1.1e-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(0.1, 2, &builder)); + CHECK_EQ("1.00e-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(0.11, 2, &builder)); + CHECK_EQ("1.10e-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(0.112, 2, &builder)); + CHECK_EQ("1.12e-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(0.1, 3, &builder)); + CHECK_EQ("1.000e-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(0.11, 3, &builder)); + CHECK_EQ("1.100e-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(0.112, 3, &builder)); + CHECK_EQ("1.120e-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-1.0, -1, &builder)); + CHECK_EQ("-1e+0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-11.0, -1, &builder)); + CHECK_EQ("-1.1e+1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-112.0, -1, &builder)); + CHECK_EQ("-1.12e+2", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-1.0, 0, &builder)); + CHECK_EQ("-1e+0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-11.0, 0, &builder)); + CHECK_EQ("-1e+1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-112.0, 0, &builder)); + CHECK_EQ("-1e+2", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-1.0, 1, &builder)); + CHECK_EQ("-1.0e+0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-11.0, 1, &builder)); + CHECK_EQ("-1.1e+1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-112.0, 1, &builder)); + CHECK_EQ("-1.1e+2", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-1.0, 2, &builder)); + CHECK_EQ("-1.00e+0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-11.0, 2, &builder)); + CHECK_EQ("-1.10e+1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-112.0, 2, &builder)); + CHECK_EQ("-1.12e+2", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-1.0, 3, &builder)); + CHECK_EQ("-1.000e+0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-11.0, 3, &builder)); + CHECK_EQ("-1.100e+1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-112.0, 3, &builder)); + CHECK_EQ("-1.120e+2", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-0.1, -1, &builder)); + CHECK_EQ("-1e-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-0.11, -1, &builder)); + CHECK_EQ("-1.1e-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-0.112, -1, &builder)); + CHECK_EQ("-1.12e-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-0.1, 0, &builder)); + CHECK_EQ("-1e-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-0.11, 0, &builder)); + CHECK_EQ("-1e-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-0.112, 0, &builder)); + CHECK_EQ("-1e-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-0.1, 1, &builder)); + CHECK_EQ("-1.0e-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-0.11, 1, &builder)); + CHECK_EQ("-1.1e-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-0.112, 1, &builder)); + CHECK_EQ("-1.1e-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-0.1, 2, &builder)); + CHECK_EQ("-1.00e-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-0.11, 2, &builder)); + CHECK_EQ("-1.10e-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-0.112, 2, &builder)); + CHECK_EQ("-1.12e-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-0.1, 3, &builder)); + CHECK_EQ("-1.000e-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-0.11, 3, &builder)); + CHECK_EQ("-1.100e-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-0.112, 3, &builder)); + CHECK_EQ("-1.120e-1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(Double::NaN(), 2, &builder)); + CHECK_EQ("NaN", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(Double::Infinity(), 2, &builder)); + CHECK_EQ("Infinity", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-Double::Infinity(), 2, &builder)); + CHECK_EQ("-Infinity", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(1.0, 0, &builder)); + CHECK_EQ("1e+0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(0.0, -1, &builder)); + CHECK_EQ("0e+0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(0.0, 2, &builder)); + CHECK_EQ("0.00e+0", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(11.2356, 0, &builder)); + CHECK_EQ("1e+1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(11.2356, 4, &builder)); + CHECK_EQ("1.1236e+1", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(0.000112356, 4, &builder)); + CHECK_EQ("1.1236e-4", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-0.000112356, 4, &builder)); + CHECK_EQ("-1.1236e-4", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(0.000112356, -1, &builder)); + CHECK_EQ("1.12356e-4", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToExponential(-0.000112356, -1, &builder)); + CHECK_EQ("-1.12356e-4", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(Double::NaN(), 1, &builder)); + CHECK_EQ("NaN", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(Double::Infinity(), 2, &builder)); + CHECK_EQ("Infinity", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(-Double::Infinity(), 2, &builder)); + CHECK_EQ("-Infinity", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(0.000555, 15, &builder)); + CHECK_EQ("0.000555000000000000", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(0.000000555, 15, &builder)); + CHECK_EQ("5.55000000000000e-7", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(-0.000000555, 15, &builder)); + CHECK_EQ("-5.55000000000000e-7", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(123456789.0, 1, &builder)); + CHECK_EQ("1e+8", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(123456789.0, 9, &builder)); + CHECK_EQ("123456789", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(123456789.0, 8, &builder)); + CHECK_EQ("1.2345679e+8", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(123456789.0, 7, &builder)); + CHECK_EQ("1.234568e+8", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(-123456789.0, 7, &builder)); + CHECK_EQ("-1.234568e+8", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(-.0000000012345, 2, &builder)); + CHECK_EQ("-1.2e-9", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(-.000000012345, 2, &builder)); + CHECK_EQ("-1.2e-8", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(-.00000012345, 2, &builder)); + CHECK_EQ("-1.2e-7", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(-.0000012345, 2, &builder)); + CHECK_EQ("-0.0000012", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(-.000012345, 2, &builder)); + CHECK_EQ("-0.000012", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(-.00012345, 2, &builder)); + CHECK_EQ("-0.00012", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(-.0012345, 2, &builder)); + CHECK_EQ("-0.0012", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(-.012345, 2, &builder)); + CHECK_EQ("-0.012", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(-.12345, 2, &builder)); + CHECK_EQ("-0.12", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(-1.2345, 2, &builder)); + CHECK_EQ("-1.2", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(-12.345, 2, &builder)); + CHECK_EQ("-12", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(-123.45, 2, &builder)); + CHECK_EQ("-1.2e+2", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(-1234.5, 2, &builder)); + CHECK_EQ("-1.2e+3", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(-12345.0, 2, &builder)); + CHECK_EQ("-1.2e+4", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(-12345.67, 4, &builder)); + CHECK_EQ("-1.235e+4", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(-12344.67, 4, &builder)); + CHECK_EQ("-1.234e+4", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(1.25, 2, &builder)); + CHECK_EQ("1.3", builder.Finalize()); + + builder.Reset(); + CHECK(dc.ToPrecision(1.35, 2, &builder)); + CHECK_EQ("1.4", builder.Finalize()); +} + + +static double StrToD(const char* str, int flags, double empty_string_value, + int* processed_characters_count, bool* processed_all) { + StringToDoubleConverter converter(flags, empty_string_value, Double::NaN(), + NULL, NULL); + double result = converter.StringToDouble(str, strlen(str), + processed_characters_count); + *processed_all = + ((strlen(str) == static_cast(*processed_characters_count))); + return result; +} + + +TEST(StringToDoubleVarious) { + int flags; + int processed; + bool all_used; + + flags = StringToDoubleConverter::ALLOW_LEADING_SPACES | + StringToDoubleConverter::ALLOW_SPACES_AFTER_SIGN | + StringToDoubleConverter::ALLOW_TRAILING_SPACES; + + CHECK_EQ(0.0, StrToD("", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0, StrToD("", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0, StrToD(" ", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0, StrToD(" ", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(42.0, StrToD("42", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(42.0, StrToD(" + 42 ", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(-42.0, StrToD(" - 42 ", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToD("x", flags, 1.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" x", flags, 1.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("42x", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("42 x", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" + 42 x", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" - 42 x", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + + flags = StringToDoubleConverter::ALLOW_LEADING_SPACES | + StringToDoubleConverter::ALLOW_SPACES_AFTER_SIGN | + StringToDoubleConverter::ALLOW_TRAILING_SPACES | + StringToDoubleConverter::ALLOW_TRAILING_JUNK; + + CHECK_EQ(0.0, StrToD("", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0, StrToD("", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0, StrToD(" ", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0, StrToD(" ", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(42.0, StrToD("42", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(42.0, StrToD(" + 42 ", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(-42.0, StrToD(" - 42 ", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToD("x", flags, 1.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" x", flags, 1.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(42.0, StrToD("42x", flags, 0.0, &processed, &all_used)); + CHECK_EQ(2, processed); + + CHECK_EQ(42.0, StrToD("42 x", flags, 0.0, &processed, &all_used)); + CHECK_EQ(3, processed); + + CHECK_EQ(42.0, StrToD(" + 42 x", flags, 0.0, &processed, &all_used)); + CHECK_EQ(6, processed); + + CHECK_EQ(-42.0, StrToD(" - 42 x", flags, 0.0, &processed, &all_used)); + CHECK_EQ(6, processed); + + + flags = StringToDoubleConverter::ALLOW_LEADING_SPACES | + StringToDoubleConverter::ALLOW_SPACES_AFTER_SIGN | + StringToDoubleConverter::ALLOW_TRAILING_JUNK; + + CHECK_EQ(0.0, StrToD("", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0, StrToD("", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0, StrToD(" ", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0, StrToD(" ", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(42.0, StrToD("42", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(42.0, StrToD(" + 42 ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(5, processed); + + CHECK_EQ(-42.0, StrToD(" - 42 ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(5, processed); + + CHECK_EQ(Double::NaN(), StrToD("x", flags, 1.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" x", flags, 1.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(42.0, StrToD("42x", flags, 0.0, &processed, &all_used)); + CHECK_EQ(2, processed); + + CHECK_EQ(42.0, StrToD("42 x", flags, 0.0, &processed, &all_used)); + CHECK_EQ(2, processed); + + CHECK_EQ(42.0, StrToD(" + 42 x", flags, 0.0, &processed, &all_used)); + CHECK_EQ(5, processed); + + CHECK_EQ(-42.0, StrToD(" - 42 x", flags, 0.0, &processed, &all_used)); + CHECK_EQ(5, processed); + + flags = StringToDoubleConverter::ALLOW_LEADING_SPACES | + StringToDoubleConverter::ALLOW_TRAILING_JUNK; + + CHECK_EQ(42.0, StrToD(" +42 ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(4, processed); + + CHECK_EQ(-42.0, StrToD(" -42 ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(4, processed); + + CHECK_EQ(Double::NaN(), StrToD(" + 42 ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" - 42 ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + + flags = StringToDoubleConverter::NO_FLAGS; + + CHECK_EQ(0.0, StrToD("", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0, StrToD("", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToD(" ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" ", flags, 1.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(42.0, StrToD("42", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToD(" + 42 ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" - 42 ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("x", flags, 1.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" x", flags, 1.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("42x", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("42 x", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" + 42 x", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" - 42 x", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + + flags = StringToDoubleConverter::ALLOW_LEADING_SPACES; + + CHECK_EQ(0.0, StrToD(" ", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0, StrToD(" ", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(42.0, StrToD(" 42", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToD("42 ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + + flags = StringToDoubleConverter::ALLOW_TRAILING_SPACES; + + CHECK_EQ(0.0, StrToD(" ", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0, StrToD(" ", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(42.0, StrToD("42 ", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToD(" 42", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); +} + + +TEST(StringToDoubleEmptyString) { + int flags; + int processed; + bool all_used; + + flags = StringToDoubleConverter::NO_FLAGS; + CHECK_EQ(0.0, StrToD("", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0, StrToD("", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToD("", flags, Double::NaN(), + &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToD(" ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" ", flags, 1.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" ", flags, Double::NaN(), + &processed, &all_used)); + CHECK_EQ(0, processed); + + flags = StringToDoubleConverter::ALLOW_SPACES_AFTER_SIGN; + CHECK_EQ(0.0, StrToD("", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0, StrToD("", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToD("", flags, Double::NaN(), + &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToD(" ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" ", flags, 1.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" ", flags, Double::NaN(), + &processed, &all_used)); + CHECK_EQ(0, processed); + + flags = StringToDoubleConverter::ALLOW_LEADING_SPACES; + CHECK_EQ(0.0, StrToD("", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0, StrToD("", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToD("", flags, Double::NaN(), + &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0, StrToD(" ", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0, StrToD(" ", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToD(" ", flags, Double::NaN(), + &processed, &all_used)); + CHECK(all_used); + + flags = StringToDoubleConverter::ALLOW_TRAILING_SPACES; + CHECK_EQ(0.0, StrToD("", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0, StrToD("", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToD("", flags, Double::NaN(), + &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0, StrToD(" ", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0, StrToD(" ", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToD(" ", flags, Double::NaN(), + &processed, &all_used)); + CHECK(all_used); + + flags = StringToDoubleConverter::ALLOW_TRAILING_JUNK; + CHECK_EQ(0.0, StrToD("", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0, StrToD("", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToD("", flags, Double::NaN(), + &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToD(" ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" ", flags, 1.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" ", flags, Double::NaN(), + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("x", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" x", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); +} + + +TEST(StringToDoubleHexString) { + int flags; + int processed; + bool all_used; + + flags = StringToDoubleConverter::ALLOW_HEX | + StringToDoubleConverter::ALLOW_LEADING_SPACES | + StringToDoubleConverter::ALLOW_TRAILING_SPACES | + StringToDoubleConverter::ALLOW_SPACES_AFTER_SIGN; + + CHECK_EQ(18.0, StrToD("0x12", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0, StrToD("0x0", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0x123456789), + StrToD("0x123456789", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(18.0, StrToD(" 0x12 ", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0, StrToD(" 0x0 ", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0x123456789), + StrToD(" 0x123456789 ", flags, Double::NaN(), + &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0xabcdef), + StrToD("0xabcdef", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0xabcdef), + StrToD("0xABCDEF", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0xabcdef), + StrToD(" 0xabcdef ", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0xabcdef), + StrToD(" 0xABCDEF ", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToD(" ", flags, Double::NaN(), + &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToD("0x", flags, 0.0, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" 0x ", flags, 0.0, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" 0x 3", flags, 0.0, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("0x3g", flags, 0.0, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("0x3.23", flags, 0.0, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("x3", flags, 0.0, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("0x3 foo", flags, 0.0, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" 0x3 foo", flags, 0.0, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("+ 0x3 foo", flags, 0.0, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("+", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("-", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(-5.0, StrToD("-0x5", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(-5.0, StrToD(" - 0x5 ", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(5.0, StrToD(" + 0x5 ", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToD("- -0x5", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("- +0x5", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("+ +0x5", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + flags = StringToDoubleConverter::ALLOW_HEX; + + CHECK_EQ(18.0, StrToD("0x12", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0, StrToD("0x0", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0x123456789), + StrToD("0x123456789", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToD(" 0x12 ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" 0x0 ", flags, 1.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" 0x123456789 ", flags, Double::NaN(), + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(static_cast(0xabcdef), + StrToD("0xabcdef", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0xabcdef), + StrToD("0xABCDEF", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), + StrToD(" 0xabcdef ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), + StrToD(" 0xABCDEF ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), + StrToD(" ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("0x", flags, 0.0, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" 0x ", flags, 0.0, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" 0x 3", flags, 0.0, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("0x3g", flags, 0.0, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("0x3.23", flags, 0.0, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("x3", flags, 0.0, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("+ 0x3 foo", flags, 0.0, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("+", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("-", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(-5.0, StrToD("-0x5", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToD(" - 0x5 ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" + 0x5 ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("- -0x5", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("- +0x5", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("+ +0x5", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + flags = StringToDoubleConverter::ALLOW_TRAILING_JUNK | + StringToDoubleConverter::ALLOW_HEX; + + CHECK_EQ(18.0, StrToD("0x12", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0, StrToD("0x0", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0x123456789), + StrToD("0x123456789", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToD(" 0x12 ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" 0x0 ", flags, 1.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(18.0, StrToD("0x12 ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(4, processed); + + CHECK_EQ(0.0, StrToD("0x0 ", flags, 1.0, &processed, &all_used)); + CHECK_EQ(3, processed); + + CHECK_EQ(Double::NaN(), + StrToD(" 0x123456789 ", flags, Double::NaN(), + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(static_cast(0xabcdef), + StrToD("0xabcdef", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0xabcdef), + StrToD("0xABCDEF", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), + StrToD(" 0xabcdef ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), + StrToD(" 0xABCDEF ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(static_cast(0xabcdef), + StrToD("0xabcdef ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(8, processed); + + CHECK_EQ(static_cast(0xabcdef), + StrToD("0xABCDEF ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(8, processed); + + CHECK_EQ(Double::NaN(), + StrToD(" 0xabcdef", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), + StrToD(" 0xABCDEF", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("0x", flags, 0.0, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" 0x ", flags, 0.0, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" 0x 3", flags, 0.0, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(3.0, StrToD("0x3g", flags, 0.0, &processed, &all_used)); + CHECK_EQ(3, processed); + + CHECK_EQ(3.0, StrToD("0x3.234", flags, 0.0, &processed, &all_used)); + CHECK_EQ(3, processed); + + CHECK_EQ(Double::NaN(), StrToD(" 0x3g", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), + StrToD(" 0x3.234", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("x3", flags, 0.0, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("+ 0x3 foo", flags, 0.0, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("+", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("-", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(-5.0, StrToD("-0x5", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToD(" - 0x5 ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" + 0x5 ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("- -0x5", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("- +0x5", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("+ +0x5", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + flags = StringToDoubleConverter::ALLOW_TRAILING_JUNK | + StringToDoubleConverter::ALLOW_LEADING_SPACES | + StringToDoubleConverter::ALLOW_TRAILING_SPACES | + StringToDoubleConverter::ALLOW_SPACES_AFTER_SIGN | + StringToDoubleConverter::ALLOW_HEX; + + CHECK_EQ(18.0, StrToD("0x12", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0, StrToD("0x0", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0x123456789), + StrToD("0x123456789", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(18.0, StrToD(" 0x12 ", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0, StrToD(" 0x0 ", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0x123456789), + StrToD(" 0x123456789 ", flags, Double::NaN(), + &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0xabcdef), + StrToD("0xabcdef", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0xabcdef), + StrToD("0xABCDEF", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0xabcdef), + StrToD(" 0xabcdef ", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0xabcdef), + StrToD(" 0xABCDEF ", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0xabc), + StrToD(" 0xabc def ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(7, processed); + + CHECK_EQ(static_cast(0xabc), + StrToD(" 0xABC DEF ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(7, processed); + + CHECK_EQ(static_cast(0x12), + StrToD(" 0x12 ", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0, StrToD(" 0x0 ", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0x123456789), + StrToD(" 0x123456789 ", flags, Double::NaN(), + &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToD(" ", flags, Double::NaN(), + &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToD("0x", flags, 0.0, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" 0x ", flags, 0.0, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" 0x 3", flags, 0.0, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ((double)0x3, StrToD("0x3g", flags, 0.0, &processed, &all_used)); + CHECK_EQ(3, processed); + + CHECK_EQ((double)0x3, StrToD("0x3.234", flags, 0.0, &processed, &all_used)); + CHECK_EQ(3, processed); + + CHECK_EQ(Double::NaN(), StrToD("x3", flags, 0.0, + &processed, &all_used)); + CHECK_EQ(0, processed); +} + + +TEST(StringToDoubleOctalString) { + int flags; + int processed; + bool all_used; + + flags = StringToDoubleConverter::ALLOW_OCTALS | + StringToDoubleConverter::ALLOW_LEADING_SPACES | + StringToDoubleConverter::ALLOW_TRAILING_SPACES | + StringToDoubleConverter::ALLOW_SPACES_AFTER_SIGN; + + CHECK_EQ(10.0, StrToD("012", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0, StrToD("00", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(10.0, StrToD("012", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(123456789.0, + StrToD("0123456789", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(342391.0, + StrToD("01234567", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(342391.0, + StrToD("+01234567", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(-342391.0, + StrToD("-01234567", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(10.0, StrToD(" 012", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0, StrToD(" 00", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(10.0, StrToD(" 012", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(123456789.0, + StrToD(" 0123456789", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(342391.0, + StrToD(" 01234567", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(342391.0, + StrToD(" + 01234567", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(-342391.0, + StrToD(" - 01234567", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(10.0, StrToD(" 012 ", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0, StrToD(" 00 ", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(10.0, StrToD(" 012 ", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(123456789.0, + StrToD(" 0123456789 ", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(342391.0, + StrToD(" 01234567 ", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(342391.0, + StrToD(" + 01234567 ", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(-342391.0, + StrToD(" - 01234567 ", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(10.0, StrToD("012 ", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0, StrToD("00 ", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(10.0, StrToD("012 ", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(123456789.0, + StrToD("0123456789 ", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(342391.0, + StrToD("01234567 ", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(342391.0, + StrToD("+01234567", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(-342391.0, + StrToD("-01234567", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), + StrToD("01234567e0", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + + flags = StringToDoubleConverter::ALLOW_OCTALS; + CHECK_EQ(10.0, StrToD("012", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0, StrToD("00", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(10.0, StrToD("012", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(123456789.0, + StrToD("0123456789", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(342391.0, + StrToD("01234567", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(342391.0, + StrToD("+01234567", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(-342391.0, + StrToD("-01234567", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToD(" 012", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" 00", flags, 1.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" 012", flags, 1.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), + StrToD(" 0123456789", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), + StrToD(" 01234567", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), + StrToD(" + 01234567", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), + StrToD(" - 01234567", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" 012 ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" 00 ", flags, 1.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" 012 ", flags, 1.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), + StrToD(" 0123456789 ", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), + StrToD(" 01234567 ", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), + StrToD(" + 01234567 ", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), + StrToD(" - 01234567 ", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("012 ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("00 ", flags, 1.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("012 ", flags, 1.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), + StrToD("0123456789 ", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), + StrToD("01234567 ", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(342391.0, + StrToD("+01234567", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(-342391.0, + StrToD("-01234567", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), + StrToD("01234567e0", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + + flags = StringToDoubleConverter::ALLOW_OCTALS | + StringToDoubleConverter::ALLOW_TRAILING_JUNK; + CHECK_EQ(10.0, StrToD("012", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0, StrToD("00", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(10.0, StrToD("012", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(123456789.0, + StrToD("0123456789", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(342391.0, + StrToD("01234567", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(342391.0, + StrToD("+01234567", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(-342391.0, + StrToD("-01234567", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToD(" 012", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" 00", flags, 1.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" 012", flags, 1.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), + StrToD(" 0123456789", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), + StrToD(" 01234567", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), + StrToD(" + 01234567", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), + StrToD(" - 01234567", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" 012 ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" 00 ", flags, 1.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" 012 ", flags, 1.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), + StrToD(" 0123456789 ", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), + StrToD(" 01234567 ", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), + StrToD(" + 01234567 ", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), + StrToD(" - 01234567 ", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(10.0, StrToD("012 ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(3, processed); + + CHECK_EQ(0.0, StrToD("00 ", flags, 1.0, &processed, &all_used)); + CHECK_EQ(2, processed); + + CHECK_EQ(123456789.0, + StrToD("0123456789 ", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(10, processed); + + CHECK_EQ(342391.0, + StrToD("01234567 ", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(8, processed); + + CHECK_EQ(342391.0, + StrToD("+01234567", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(-342391.0, + StrToD("-01234567", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(10.0, StrToD("012foo ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(3, processed); + + CHECK_EQ(0.0, StrToD("00foo ", flags, 1.0, &processed, &all_used)); + CHECK_EQ(2, processed); + + CHECK_EQ(123456789.0, + StrToD("0123456789foo ", flags, Double::NaN(), + &processed, &all_used)); + CHECK_EQ(10, processed); + + CHECK_EQ(342391.0, + StrToD("01234567foo ", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(8, processed); + + CHECK_EQ(342391.0, + StrToD("+01234567foo", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(9, processed); + + CHECK_EQ(-342391.0, + StrToD("-01234567foo", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(9, processed); + + CHECK_EQ(10.0, StrToD("012 foo ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(3, processed); + + CHECK_EQ(0.0, StrToD("00 foo ", flags, 1.0, &processed, &all_used)); + CHECK_EQ(2, processed); + + CHECK_EQ(123456789.0, + StrToD("0123456789 foo ", flags, Double::NaN(), + &processed, &all_used)); + CHECK_EQ(10, processed); + + CHECK_EQ(342391.0, + StrToD("01234567 foo ", flags, Double::NaN(), + &processed, &all_used)); + CHECK_EQ(8, processed); + + CHECK_EQ(342391.0, + StrToD("+01234567 foo", flags, Double::NaN(), + &processed, &all_used)); + CHECK_EQ(9, processed); + + CHECK_EQ(-342391.0, + StrToD("-01234567 foo", flags, Double::NaN(), &processed, + &all_used)); + CHECK_EQ(9, processed); + + CHECK_EQ(342391.0, + StrToD("01234567e0", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(8, processed); + + CHECK_EQ(342391.0, + StrToD("01234567e", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(8, processed); + + flags = StringToDoubleConverter::ALLOW_OCTALS | + StringToDoubleConverter::ALLOW_TRAILING_SPACES | + StringToDoubleConverter::ALLOW_TRAILING_JUNK; + CHECK_EQ(10.0, StrToD("012", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0, StrToD("00", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(10.0, StrToD("012", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(123456789.0, + StrToD("0123456789", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(342391.0, + StrToD("01234567", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(342391.0, + StrToD("+01234567", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(-342391.0, + StrToD("-01234567", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToD(" 012", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" 00", flags, 1.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" 012", flags, 1.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), + StrToD(" 0123456789", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), + StrToD(" 01234567", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), + StrToD(" + 01234567", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), + StrToD(" - 01234567", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" 012 ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" 00 ", flags, 1.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD(" 012 ", flags, 1.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), + StrToD(" 0123456789 ", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), + StrToD(" 01234567 ", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), + StrToD(" + 01234567 ", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), + StrToD(" - 01234567 ", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(10.0, StrToD("012 ", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0, StrToD("00 ", flags, 1.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(123456789.0, + StrToD("0123456789 ", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(342391.0, + StrToD("01234567 ", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(342391.0, + StrToD("+01234567", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(-342391.0, + StrToD("-01234567", flags, Double::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(10.0, StrToD("012foo ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(3, processed); + + CHECK_EQ(0.0, StrToD("00foo ", flags, 1.0, &processed, &all_used)); + CHECK_EQ(2, processed); + + CHECK_EQ(123456789.0, + StrToD("0123456789foo ", flags, Double::NaN(), + &processed, &all_used)); + CHECK_EQ(10, processed); + + CHECK_EQ(342391.0, + StrToD("01234567foo ", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(8, processed); + + CHECK_EQ(342391.0, + StrToD("+01234567foo", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(9, processed); + + CHECK_EQ(-342391.0, + StrToD("-01234567foo", flags, Double::NaN(), &processed, &all_used)); + CHECK_EQ(9, processed); + + CHECK_EQ(10.0, StrToD("012 foo ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(4, processed); + + CHECK_EQ(0.0, StrToD("00 foo ", flags, 1.0, &processed, &all_used)); + CHECK_EQ(3, processed); + + CHECK_EQ(123456789.0, + StrToD("0123456789 foo ", flags, Double::NaN(), + &processed, &all_used)); + CHECK_EQ(11, processed); + + CHECK_EQ(342391.0, + StrToD("01234567 foo ", flags, Double::NaN(), + &processed, &all_used)); + CHECK_EQ(9, processed); + + CHECK_EQ(342391.0, + StrToD("+01234567 foo", flags, Double::NaN(), + &processed, &all_used)); + CHECK_EQ(10, processed); + + CHECK_EQ(-342391.0, + StrToD("-01234567 foo", flags, Double::NaN(), + &processed, &all_used)); + CHECK_EQ(10, processed); +} + + +TEST(StringToDoubleSpecialValues) { + int processed; + int flags = StringToDoubleConverter::NO_FLAGS; + + { + // Use 1.0 as junk_string_value. + StringToDoubleConverter converter(flags, 0.0, 1.0, "infinity", "NaN"); + + CHECK_EQ(Double::NaN(), converter.StringToDouble("+NaN", 4, &processed)); + CHECK_EQ(4, processed); + + CHECK_EQ(-Double::Infinity(), + converter.StringToDouble("-infinity", 9, &processed)); + CHECK_EQ(9, processed); + + CHECK_EQ(1.0, converter.StringToDouble("Infinity", 8, &processed)); + CHECK_EQ(0, processed); + + CHECK_EQ(1.0, converter.StringToDouble("++NaN", 5, &processed)); + CHECK_EQ(0, processed); + } + + { + // Use 1.0 as junk_string_value. + StringToDoubleConverter converter(flags, 0.0, 1.0, "+infinity", "1NaN"); + + // The '+' is consumed before trying to match the infinity string. + CHECK_EQ(1.0, converter.StringToDouble("+infinity", 9, &processed)); + CHECK_EQ(0, processed); + + // The match for "1NaN" triggers, and doesn't let the 1234.0 complete. + CHECK_EQ(1.0, converter.StringToDouble("1234.0", 6, &processed)); + CHECK_EQ(0, processed); + } +} + + +TEST(StringToDoubleCommentExamples) { + // Make sure the examples in the comments are correct. + int flags; + int processed; + bool all_used; + + flags = StringToDoubleConverter::ALLOW_HEX; + + CHECK_EQ(4660.0, StrToD("0x1234", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), + StrToD("0x1234.56", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + flags |= StringToDoubleConverter::ALLOW_TRAILING_JUNK; + CHECK_EQ(4660.0, + StrToD("0x1234.56", flags, 0.0, &processed, &all_used)); + CHECK_EQ(6, processed); + + flags = StringToDoubleConverter::ALLOW_OCTALS; + CHECK_EQ(668.0, StrToD("01234", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(12349.0, StrToD("012349", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), + StrToD("01234.56", flags, 0.0, &processed, &all_used)); + CHECK_EQ(processed, 0); + + flags |= StringToDoubleConverter::ALLOW_TRAILING_JUNK; + CHECK_EQ(668.0, + StrToD("01234.56", flags, 0.0, &processed, &all_used)); + CHECK_EQ(processed, 5); + + flags = StringToDoubleConverter::ALLOW_SPACES_AFTER_SIGN; + CHECK_EQ(-123.2, StrToD("- 123.2", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + flags = StringToDoubleConverter::ALLOW_SPACES_AFTER_SIGN; + CHECK_EQ(123.2, StrToD("+ 123.2", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + flags = StringToDoubleConverter::ALLOW_HEX | + StringToDoubleConverter::ALLOW_TRAILING_JUNK; + + CHECK_EQ(4660.0, StrToD("0x1234", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(4660.0, StrToD("0x1234K", flags, 0.0, &processed, &all_used)); + CHECK_EQ(processed, 6); + + CHECK_EQ(0.0, StrToD("", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToD(" ", flags, 0.0, &processed, &all_used)); + CHECK_EQ(processed, 0); + + CHECK_EQ(Double::NaN(), StrToD(" 1", flags, 0.0, &processed, &all_used)); + CHECK_EQ(processed, 0); + + CHECK_EQ(Double::NaN(), StrToD("0x", flags, 0.0, &processed, &all_used)); + CHECK_EQ(processed, 0); + + CHECK_EQ(-123.45, StrToD("-123.45", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), + StrToD("--123.45", flags, 0.0, &processed, &all_used)); + CHECK_EQ(processed, 0); + + CHECK_EQ(123e45, StrToD("123e45", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(123e45, StrToD("123E45", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(123e45, StrToD("123e+45", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(123e-45, StrToD("123e-45", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(123.0, StrToD("123e", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(123.0, StrToD("123e-", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + { + StringToDoubleConverter converter(flags, 0.0, 1.0, "infinity", "NaN"); + CHECK_EQ(Double::NaN(), converter.StringToDouble("+NaN", 4, &processed)); + CHECK_EQ(4, processed); + + CHECK_EQ(-Double::Infinity(), + converter.StringToDouble("-infinity", 9, &processed)); + CHECK_EQ(9, processed); + + CHECK_EQ(1.0, converter.StringToDouble("Infinity", 9, &processed)); + CHECK_EQ(0, processed); + } + + flags = StringToDoubleConverter::ALLOW_OCTALS | + StringToDoubleConverter::ALLOW_LEADING_SPACES; + + CHECK_EQ(Double::NaN(), StrToD("0x1234", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(668.0, StrToD("01234", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0, StrToD("", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0, StrToD(" ", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0, StrToD(" 1", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToD("0x", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("0123e45", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(1239e45, StrToD("01239e45", flags, 0.0, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), + StrToD("-infinity", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToD("NaN", flags, 0.0, &processed, &all_used)); + CHECK_EQ(0, processed); +} + + +static float StrToF(const char* str, int flags, float empty_string_value, + int* processed_characters_count, bool* processed_all) { + StringToDoubleConverter converter(flags, empty_string_value, Single::NaN(), + NULL, NULL); + float result = converter.StringToFloat(str, strlen(str), + processed_characters_count); + *processed_all = + ((strlen(str) == static_cast(*processed_characters_count))); + return result; +} + + +TEST(StringToFloatVarious) { + int flags; + int processed; + bool all_used; + + flags = StringToDoubleConverter::ALLOW_LEADING_SPACES | + StringToDoubleConverter::ALLOW_SPACES_AFTER_SIGN | + StringToDoubleConverter::ALLOW_TRAILING_SPACES; + + CHECK_EQ(0.0f, StrToF("", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0f, StrToF("", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0f, StrToF(" ", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0f, StrToF(" ", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(42.0f, StrToF("42", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(42.0f, StrToF(" + 42 ", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(-42.0f, StrToF(" - 42 ", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToF("x", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToF(" x", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToF("42x", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToF("42 x", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToF(" + 42 x", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToF(" - 42 x", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + + flags = StringToDoubleConverter::ALLOW_LEADING_SPACES | + StringToDoubleConverter::ALLOW_SPACES_AFTER_SIGN | + StringToDoubleConverter::ALLOW_TRAILING_SPACES | + StringToDoubleConverter::ALLOW_TRAILING_JUNK; + + CHECK_EQ(0.0f, StrToF("", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0f, StrToF("", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0f, StrToF(" ", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0f, StrToF(" ", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(42.0f, StrToF("42", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(42.0f, StrToF(" + 42 ", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(-42.0f, StrToF(" - 42 ", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToF("x", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToF(" x", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(42.0f, StrToF("42x", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(2, processed); + + CHECK_EQ(42.0f, StrToF("42 x", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(3, processed); + + CHECK_EQ(42.0f, StrToF(" + 42 x", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(6, processed); + + CHECK_EQ(-42.0f, StrToF(" - 42 x", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(6, processed); + + + flags = StringToDoubleConverter::ALLOW_LEADING_SPACES | + StringToDoubleConverter::ALLOW_SPACES_AFTER_SIGN | + StringToDoubleConverter::ALLOW_TRAILING_JUNK; + + CHECK_EQ(0.0f, StrToF("", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0f, StrToF("", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0f, StrToF(" ", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0f, StrToF(" ", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(42.0f, StrToF("42", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(42.0f, StrToF(" + 42 ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(5, processed); + + CHECK_EQ(-42.0f, StrToF(" - 42 ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(5, processed); + + CHECK_EQ(Double::NaN(), StrToF("x", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToF(" x", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(42.0f, StrToF("42x", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(2, processed); + + CHECK_EQ(42.0f, StrToF("42 x", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(2, processed); + + CHECK_EQ(42.0f, StrToF(" + 42 x", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(5, processed); + + CHECK_EQ(-42.0f, StrToF(" - 42 x", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(5, processed); + + flags = StringToDoubleConverter::ALLOW_LEADING_SPACES | + StringToDoubleConverter::ALLOW_TRAILING_JUNK; + + CHECK_EQ(42.0f, StrToF(" +42 ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(4, processed); + + CHECK_EQ(-42.0f, StrToF(" -42 ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(4, processed); + + CHECK_EQ(Double::NaN(), StrToF(" + 42 ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToF(" - 42 ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + + flags = StringToDoubleConverter::NO_FLAGS; + + CHECK_EQ(0.0f, StrToF("", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0f, StrToF("", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToF(" ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToF(" ", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(42.0f, StrToF("42", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToF(" + 42 ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToF(" - 42 ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToF("x", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToF(" x", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToF("42x", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToF("42 x", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToF(" + 42 x", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Double::NaN(), StrToF(" - 42 x", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + + flags = StringToDoubleConverter::ALLOW_LEADING_SPACES; + + CHECK_EQ(0.0f, StrToF(" ", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0f, StrToF(" ", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(42.0f, StrToF(" 42", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToF("42 ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + + flags = StringToDoubleConverter::ALLOW_TRAILING_SPACES; + + CHECK_EQ(0.0f, StrToF(" ", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0f, StrToF(" ", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(42.0f, StrToF("42 ", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Double::NaN(), StrToF(" 42", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); +} + +TEST(StringToFloatEmptyString) { + int flags; + int processed; + bool all_used; + + flags = StringToDoubleConverter::NO_FLAGS; + CHECK_EQ(0.0f, StrToF("", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0f, StrToF("", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Single::NaN(), StrToF("", flags, Single::NaN(), + &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Single::NaN(), StrToF(" ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" ", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" ", flags, Single::NaN(), + &processed, &all_used)); + CHECK_EQ(0, processed); + + flags = StringToDoubleConverter::ALLOW_SPACES_AFTER_SIGN; + CHECK_EQ(0.0f, StrToF("", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0f, StrToF("", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Single::NaN(), StrToF("", flags, Single::NaN(), + &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Single::NaN(), StrToF(" ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" ", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" ", flags, Single::NaN(), + &processed, &all_used)); + CHECK_EQ(0, processed); + + flags = StringToDoubleConverter::ALLOW_LEADING_SPACES; + CHECK_EQ(0.0f, StrToF("", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0f, StrToF("", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Single::NaN(), StrToF("", flags, Single::NaN(), + &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0f, StrToF(" ", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0f, StrToF(" ", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Single::NaN(), StrToF(" ", flags, Single::NaN(), + &processed, &all_used)); + CHECK(all_used); + + flags = StringToDoubleConverter::ALLOW_TRAILING_SPACES; + CHECK_EQ(0.0f, StrToF("", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0f, StrToF("", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Single::NaN(), StrToF("", flags, Single::NaN(), + &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0f, StrToF(" ", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0f, StrToF(" ", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Single::NaN(), StrToF(" ", flags, Single::NaN(), + &processed, &all_used)); + CHECK(all_used); + + flags = StringToDoubleConverter::ALLOW_TRAILING_JUNK; + CHECK_EQ(0.0f, StrToF("", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(1.0f, StrToF("", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Single::NaN(), StrToF("", flags, Single::NaN(), + &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Single::NaN(), StrToF(" ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" ", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" ", flags, Single::NaN(), + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF("x", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" x", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); +} + +TEST(StringToFloatHexString) { + int flags; + int processed; + bool all_used; + double d; + float f; + + flags = StringToDoubleConverter::ALLOW_HEX | + StringToDoubleConverter::ALLOW_LEADING_SPACES | + StringToDoubleConverter::ALLOW_TRAILING_SPACES | + StringToDoubleConverter::ALLOW_SPACES_AFTER_SIGN; + + // Check that no double rounding occurs: + const char* double_rounding_example1 = "0x100000100000008"; + d = StrToD(double_rounding_example1, flags, 0.0, &processed, &all_used); + f = StrToF(double_rounding_example1, flags, 0.0f, &processed, &all_used); + CHECK(f != static_cast(d)); + CHECK_EQ(72057602627862528.0f, StrToF(double_rounding_example1, + flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + const char* double_rounding_example2 = "0x1000002FFFFFFF8"; + d = StrToD(double_rounding_example2, flags, 0.0, &processed, &all_used); + f = StrToF(double_rounding_example2, flags, 0.0f, &processed, &all_used); + CHECK(f != static_cast(d)); + CHECK_EQ(72057602627862528.0f, StrToF(double_rounding_example2, + flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(18.0f, StrToF("0x12", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0f, StrToF("0x0", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0x123456789), + StrToF("0x123456789", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(18.0f, StrToF(" 0x12 ", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0f, StrToF(" 0x0 ", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0x123456789), + StrToF(" 0x123456789 ", flags, Single::NaN(), + &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0xabcdef), + StrToF("0xabcdef", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0xabcdef), + StrToF("0xABCDEF", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0xabcdef), + StrToF(" 0xabcdef ", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0xabcdef), + StrToF(" 0xABCDEF ", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Single::NaN(), StrToF(" ", flags, Single::NaN(), + &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Single::NaN(), StrToF("0x", flags, 0.0f, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" 0x ", flags, 0.0f, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" 0x 3", flags, 0.0f, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF("0x3g", flags, 0.0f, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF("0x3.23", flags, 0.0f, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF("x3", flags, 0.0f, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF("0x3 foo", flags, 0.0f, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" 0x3 foo", flags, 0.0f, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF("+ 0x3 foo", flags, 0.0f, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF("+", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF("-", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(-5.0f, StrToF("-0x5", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(-5.0f, StrToF(" - 0x5 ", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(5.0f, StrToF(" + 0x5 ", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Single::NaN(), StrToF("- -0x5", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF("- +0x5", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF("+ +0x5", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + flags = StringToDoubleConverter::ALLOW_HEX; + + CHECK_EQ(18.0f, StrToF("0x12", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0f, StrToF("0x0", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0x123456789), + StrToF("0x123456789", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Single::NaN(), StrToF(" 0x12 ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" 0x0 ", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" 0x123456789 ", flags, Single::NaN(), + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(static_cast(0xabcdef), + StrToF("0xabcdef", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0xabcdef), + StrToF("0xABCDEF", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Single::NaN(), + StrToF(" 0xabcdef ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), + StrToF(" 0xABCDEF ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), + StrToF(" ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF("0x", flags, 0.0f, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" 0x ", flags, 0.0f, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" 0x 3", flags, 0.0f, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF("0x3g", flags, 0.0f, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF("0x3.23", flags, 0.0f, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF("x3", flags, 0.0f, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF("+ 0x3 foo", flags, 0.0f, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF("+", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF("-", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(-5.0f, StrToF("-0x5", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Single::NaN(), StrToF(" - 0x5 ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" + 0x5 ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF("- -0x5", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF("- +0x5", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF("+ +0x5", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + flags = StringToDoubleConverter::ALLOW_TRAILING_JUNK | + StringToDoubleConverter::ALLOW_HEX; + + CHECK_EQ(18.0f, StrToF("0x12", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0f, StrToF("0x0", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0x123456789), + StrToF("0x123456789", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Single::NaN(), StrToF(" 0x12 ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" 0x0 ", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(18.0f, StrToF("0x12 ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(4, processed); + + CHECK_EQ(0.0f, StrToF("0x0 ", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(3, processed); + + CHECK_EQ(Single::NaN(), + StrToF(" 0x123456789 ", flags, Single::NaN(), + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(static_cast(0xabcdef), + StrToF("0xabcdef", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0xabcdef), + StrToF("0xABCDEF", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Single::NaN(), + StrToF(" 0xabcdef ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), + StrToF(" 0xABCDEF ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(static_cast(0xabcdef), + StrToF("0xabcdef ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(8, processed); + + CHECK_EQ(static_cast(0xabcdef), + StrToF("0xABCDEF ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(8, processed); + + CHECK_EQ(Single::NaN(), + StrToF(" 0xabcdef", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), + StrToF(" 0xABCDEF", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF("0x", flags, 0.0f, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" 0x ", flags, 0.0f, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" 0x 3", flags, 0.0f, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(3.0f, StrToF("0x3g", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(3, processed); + + CHECK_EQ(3.0f, StrToF("0x3.234", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(3, processed); + + CHECK_EQ(Single::NaN(), StrToF(" 0x3g", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), + StrToF(" 0x3.234", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF("x3", flags, 0.0f, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF("+ 0x3 foo", flags, 0.0f, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF("+", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF("-", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(-5.0f, StrToF("-0x5", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Single::NaN(), StrToF(" - 0x5 ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" + 0x5 ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF("- -0x5", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF("- +0x5", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF("+ +0x5", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + flags = StringToDoubleConverter::ALLOW_TRAILING_JUNK | + StringToDoubleConverter::ALLOW_LEADING_SPACES | + StringToDoubleConverter::ALLOW_TRAILING_SPACES | + StringToDoubleConverter::ALLOW_SPACES_AFTER_SIGN | + StringToDoubleConverter::ALLOW_HEX; + + CHECK_EQ(18.0f, StrToF("0x12", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0f, StrToF("0x0", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0x123456789), + StrToF("0x123456789", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(18.0f, StrToF(" 0x12 ", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0f, StrToF(" 0x0 ", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0x123456789), + StrToF(" 0x123456789 ", flags, Single::NaN(), + &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0xabcdef), + StrToF("0xabcdef", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0xabcdef), + StrToF("0xABCDEF", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0xabcdef), + StrToF(" 0xabcdef ", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0xabcdef), + StrToF(" 0xABCDEF ", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0xabc), + StrToF(" 0xabc def ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(7, processed); + + CHECK_EQ(static_cast(0xabc), + StrToF(" 0xABC DEF ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(7, processed); + + CHECK_EQ(static_cast(0x12), + StrToF(" 0x12 ", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0f, StrToF(" 0x0 ", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(static_cast(0x123456789), + StrToF(" 0x123456789 ", flags, Single::NaN(), + &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Single::NaN(), StrToF(" ", flags, Single::NaN(), + &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Single::NaN(), StrToF("0x", flags, 0.0f, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" 0x ", flags, 0.0f, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" 0x 3", flags, 0.0f, + &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ((float)0x3, StrToF("0x3g", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(3, processed); + + CHECK_EQ((float)0x3, StrToF("0x3.234", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(3, processed); + + CHECK_EQ(Single::NaN(), StrToF("x3", flags, 0.0f, + &processed, &all_used)); + CHECK_EQ(0, processed); +} + + +TEST(StringToFloatOctalString) { + int flags; + int processed; + bool all_used; + double d; + float f; + + flags = StringToDoubleConverter::ALLOW_OCTALS | + StringToDoubleConverter::ALLOW_LEADING_SPACES | + StringToDoubleConverter::ALLOW_TRAILING_SPACES | + StringToDoubleConverter::ALLOW_SPACES_AFTER_SIGN; + + // Check that no double rounding occurs: + const char* double_rounding_example1 = "04000000040000000010"; + d = StrToD(double_rounding_example1, flags, 0.0, &processed, &all_used); + f = StrToF(double_rounding_example1, flags, 0.0f, &processed, &all_used); + CHECK(f != static_cast(d)); + CHECK_EQ(72057602627862528.0f, StrToF(double_rounding_example1, + flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + const char* double_rounding_example2 = "04000000137777777770"; + d = StrToD(double_rounding_example2, flags, 0.0, &processed, &all_used); + f = StrToF(double_rounding_example2, flags, 0.0f, &processed, &all_used); + CHECK(f != static_cast(d)); + CHECK_EQ(72057602627862528.0f, StrToF(double_rounding_example2, + flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(10.0f, StrToF("012", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0f, StrToF("00", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(10.0f, StrToF("012", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(123456789.0f, + StrToF("0123456789", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(342391.0f, + StrToF("01234567", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(342391.0f, + StrToF("+01234567", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(-342391.0f, + StrToF("-01234567", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(10.0f, StrToF(" 012", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0f, StrToF(" 00", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(10.0f, StrToF(" 012", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(123456789.0f, + StrToF(" 0123456789", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(342391.0f, + StrToF(" 01234567", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(342391.0f, + StrToF(" + 01234567", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(-342391.0f, + StrToF(" - 01234567", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(10.0f, StrToF(" 012 ", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0f, StrToF(" 00 ", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(10.0f, StrToF(" 012 ", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(123456789.0f, + StrToF(" 0123456789 ", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(342391.0f, + StrToF(" 01234567 ", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(342391.0f, + StrToF(" + 01234567 ", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(-342391.0f, + StrToF(" - 01234567 ", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(10.0f, StrToF("012 ", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0f, StrToF("00 ", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(10.0f, StrToF("012 ", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(123456789.0f, + StrToF("0123456789 ", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(342391.0f, + StrToF("01234567 ", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(342391.0f, + StrToF("+01234567", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(-342391.0f, + StrToF("-01234567", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Single::NaN(), + StrToF("01234567e0", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + + flags = StringToDoubleConverter::ALLOW_OCTALS; + CHECK_EQ(10.0f, StrToF("012", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0f, StrToF("00", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(10.0f, StrToF("012", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(123456789.0f, + StrToF("0123456789", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(342391.0f, + StrToF("01234567", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(342391.0f, + StrToF("+01234567", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(-342391.0f, + StrToF("-01234567", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Single::NaN(), StrToF(" 012", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" 00", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" 012", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), + StrToF(" 0123456789", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), + StrToF(" 01234567", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), + StrToF(" + 01234567", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), + StrToF(" - 01234567", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" 012 ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" 00 ", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" 012 ", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), + StrToF(" 0123456789 ", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), + StrToF(" 01234567 ", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), + StrToF(" + 01234567 ", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), + StrToF(" - 01234567 ", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF("012 ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF("00 ", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF("012 ", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), + StrToF("0123456789 ", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), + StrToF("01234567 ", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(342391.0f, + StrToF("+01234567", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(-342391.0f, + StrToF("-01234567", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Single::NaN(), + StrToF("01234567e0", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + + flags = StringToDoubleConverter::ALLOW_OCTALS | + StringToDoubleConverter::ALLOW_TRAILING_JUNK; + CHECK_EQ(10.0f, StrToF("012", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0f, StrToF("00", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(10.0f, StrToF("012", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(123456789.0f, + StrToF("0123456789", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(342391.0f, + StrToF("01234567", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(342391.0f, + StrToF("+01234567", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(-342391.0f, + StrToF("-01234567", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Single::NaN(), StrToF(" 012", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" 00", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" 012", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), + StrToF(" 0123456789", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), + StrToF(" 01234567", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), + StrToF(" + 01234567", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), + StrToF(" - 01234567", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" 012 ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" 00 ", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" 012 ", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), + StrToF(" 0123456789 ", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), + StrToF(" 01234567 ", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), + StrToF(" + 01234567 ", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), + StrToF(" - 01234567 ", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(10.0f, StrToF("012 ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(3, processed); + + CHECK_EQ(0.0f, StrToF("00 ", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(2, processed); + + CHECK_EQ(123456789.0f, + StrToF("0123456789 ", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(10, processed); + + CHECK_EQ(342391.0f, + StrToF("01234567 ", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(8, processed); + + CHECK_EQ(342391.0f, + StrToF("+01234567", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(-342391.0f, + StrToF("-01234567", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(10.0f, StrToF("012foo ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(3, processed); + + CHECK_EQ(0.0f, StrToF("00foo ", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(2, processed); + + CHECK_EQ(123456789.0f, + StrToF("0123456789foo ", flags, Single::NaN(), + &processed, &all_used)); + CHECK_EQ(10, processed); + + CHECK_EQ(342391.0f, + StrToF("01234567foo ", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(8, processed); + + CHECK_EQ(342391.0f, + StrToF("+01234567foo", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(9, processed); + + CHECK_EQ(-342391.0f, + StrToF("-01234567foo", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(9, processed); + + CHECK_EQ(10.0f, StrToF("012 foo ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(3, processed); + + CHECK_EQ(0.0f, StrToF("00 foo ", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(2, processed); + + CHECK_EQ(123456789.0f, + StrToF("0123456789 foo ", flags, Single::NaN(), + &processed, &all_used)); + CHECK_EQ(10, processed); + + CHECK_EQ(342391.0f, + StrToF("01234567 foo ", flags, Single::NaN(), + &processed, &all_used)); + CHECK_EQ(8, processed); + + CHECK_EQ(342391.0f, + StrToF("+01234567 foo", flags, Single::NaN(), + &processed, &all_used)); + CHECK_EQ(9, processed); + + CHECK_EQ(-342391.0f, + StrToF("-01234567 foo", flags, Single::NaN(), &processed, + &all_used)); + CHECK_EQ(9, processed); + + CHECK_EQ(342391.0f, + StrToF("01234567e0", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(8, processed); + + CHECK_EQ(342391.0f, + StrToF("01234567e", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(8, processed); + + flags = StringToDoubleConverter::ALLOW_OCTALS | + StringToDoubleConverter::ALLOW_TRAILING_SPACES | + StringToDoubleConverter::ALLOW_TRAILING_JUNK; + CHECK_EQ(10.0f, StrToF("012", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0f, StrToF("00", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(10.0f, StrToF("012", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(123456789.0f, + StrToF("0123456789", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(342391.0f, + StrToF("01234567", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(342391.0f, + StrToF("+01234567", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(-342391.0f, + StrToF("-01234567", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(Single::NaN(), StrToF(" 012", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" 00", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" 012", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), + StrToF(" 0123456789", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), + StrToF(" 01234567", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), + StrToF(" + 01234567", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), + StrToF(" - 01234567", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" 012 ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" 00 ", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), StrToF(" 012 ", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), + StrToF(" 0123456789 ", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), + StrToF(" 01234567 ", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), + StrToF(" + 01234567 ", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(Single::NaN(), + StrToF(" - 01234567 ", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(0, processed); + + CHECK_EQ(10.0f, StrToF("012 ", flags, 0.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(0.0f, StrToF("00 ", flags, 1.0f, &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(123456789.0f, + StrToF("0123456789 ", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(342391.0f, + StrToF("01234567 ", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(342391.0f, + StrToF("+01234567", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(-342391.0f, + StrToF("-01234567", flags, Single::NaN(), &processed, &all_used)); + CHECK(all_used); + + CHECK_EQ(10.0f, StrToF("012foo ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(3, processed); + + CHECK_EQ(0.0f, StrToF("00foo ", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(2, processed); + + CHECK_EQ(123456789.0f, + StrToF("0123456789foo ", flags, Single::NaN(), + &processed, &all_used)); + CHECK_EQ(10, processed); + + CHECK_EQ(342391.0f, + StrToF("01234567foo ", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(8, processed); + + CHECK_EQ(342391.0f, + StrToF("+01234567foo", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(9, processed); + + CHECK_EQ(-342391.0f, + StrToF("-01234567foo", flags, Single::NaN(), &processed, &all_used)); + CHECK_EQ(9, processed); + + CHECK_EQ(10.0f, StrToF("012 foo ", flags, 0.0f, &processed, &all_used)); + CHECK_EQ(4, processed); + + CHECK_EQ(0.0f, StrToF("00 foo ", flags, 1.0f, &processed, &all_used)); + CHECK_EQ(3, processed); + + CHECK_EQ(123456789.0f, + StrToF("0123456789 foo ", flags, Single::NaN(), + &processed, &all_used)); + CHECK_EQ(11, processed); + + CHECK_EQ(342391.0f, + StrToF("01234567 foo ", flags, Single::NaN(), + &processed, &all_used)); + CHECK_EQ(9, processed); + + CHECK_EQ(342391.0f, + StrToF("+01234567 foo", flags, Single::NaN(), + &processed, &all_used)); + CHECK_EQ(10, processed); + + CHECK_EQ(-342391.0f, + StrToF("-01234567 foo", flags, Single::NaN(), + &processed, &all_used)); + CHECK_EQ(10, processed); +} + + +TEST(StringToFloatSpecialValues) { + int processed; + int flags = StringToDoubleConverter::NO_FLAGS; + + { + // Use 1.0 as junk_string_value. + StringToDoubleConverter converter(flags, 0.0f, 1.0f, "infinity", "NaN"); + + CHECK_EQ(Single::NaN(), converter.StringToDouble("+NaN", 4, &processed)); + CHECK_EQ(4, processed); + + CHECK_EQ(-Single::Infinity(), + converter.StringToDouble("-infinity", 9, &processed)); + CHECK_EQ(9, processed); + + CHECK_EQ(1.0f, converter.StringToDouble("Infinity", 8, &processed)); + CHECK_EQ(0, processed); + + CHECK_EQ(1.0f, converter.StringToDouble("++NaN", 5, &processed)); + CHECK_EQ(0, processed); + } + + { + // Use 1.0 as junk_string_value. + StringToDoubleConverter converter(flags, 0.0f, 1.0f, "+infinity", "1NaN"); + + // The '+' is consumed before trying to match the infinity string. + CHECK_EQ(1.0f, converter.StringToDouble("+infinity", 9, &processed)); + CHECK_EQ(0, processed); + + // The match for "1NaN" triggers, and doesn't let the 1234.0 complete. + CHECK_EQ(1.0f, converter.StringToDouble("1234.0", 6, &processed)); + CHECK_EQ(0, processed); + } +} diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/test/cctest/test-dtoa.cc julia-0.2.1~quantal7/deps/double-conversion-1.1.1/test/cctest/test-dtoa.cc --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/test/cctest/test-dtoa.cc 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/test/cctest/test-dtoa.cc 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,507 @@ +// Copyright 2010 the V8 project authors. 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 Google Inc. 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. + +#include + +#include "double-conversion.h" + +#include "cctest.h" +#include "gay-fixed.h" +#include "gay-precision.h" +#include "gay-shortest.h" +#include "gay-shortest-single.h" +#include "ieee.h" + + +using namespace double_conversion; + + +enum DtoaMode { + SHORTEST, + SHORTEST_SINGLE, + FIXED, + PRECISION +}; + +static void DoubleToAscii(double v, DtoaMode test_mode, int requested_digits, + Vector buffer, bool* sign, int* length, + int* point) { + DoubleToStringConverter::DtoaMode mode = DoubleToStringConverter::SHORTEST; + switch (test_mode) { + case SHORTEST: mode = DoubleToStringConverter::SHORTEST; break; + case SHORTEST_SINGLE: + mode = DoubleToStringConverter::SHORTEST_SINGLE; + break; + case FIXED: mode = DoubleToStringConverter::FIXED; break; + case PRECISION: mode = DoubleToStringConverter::PRECISION; break; + } + DoubleToStringConverter::DoubleToAscii(v, mode, requested_digits, + buffer.start(), buffer.length(), + sign, length, point); +} + +// Removes trailing '0' digits. +static void TrimRepresentation(Vector representation) { + int len = strlen(representation.start()); + int i; + for (i = len - 1; i >= 0; --i) { + if (representation[i] != '0') break; + } + representation[i + 1] = '\0'; +} + + +static const int kBufferSize = 100; + + +TEST(DtoaVariousDoubles) { + char buffer_container[kBufferSize]; + Vector buffer(buffer_container, kBufferSize); + int length; + int point; + bool sign; + + DoubleToAscii(0.0, SHORTEST, 0, buffer, &sign, &length, &point); + CHECK_EQ("0", buffer.start()); + CHECK_EQ(1, point); + + DoubleToAscii(0.0f, SHORTEST_SINGLE, 0, buffer, &sign, &length, &point); + CHECK_EQ("0", buffer.start()); + CHECK_EQ(1, point); + + DoubleToAscii(0.0, FIXED, 2, buffer, &sign, &length, &point); + CHECK_EQ(1, length); + CHECK_EQ("0", buffer.start()); + CHECK_EQ(1, point); + + DoubleToAscii(0.0, PRECISION, 3, buffer, &sign, &length, &point); + CHECK_EQ(1, length); + CHECK_EQ("0", buffer.start()); + CHECK_EQ(1, point); + + DoubleToAscii(1.0, SHORTEST, 0, buffer, &sign, &length, &point); + CHECK_EQ("1", buffer.start()); + CHECK_EQ(1, point); + + DoubleToAscii(1.0f, SHORTEST_SINGLE, 0, buffer, &sign, &length, &point); + CHECK_EQ("1", buffer.start()); + CHECK_EQ(1, point); + + DoubleToAscii(1.0, FIXED, 3, buffer, &sign, &length, &point); + CHECK_GE(3, length - point); + TrimRepresentation(buffer); + CHECK_EQ("1", buffer.start()); + CHECK_EQ(1, point); + + DoubleToAscii(1.0, PRECISION, 3, buffer, &sign, &length, &point); + CHECK_GE(3, length); + TrimRepresentation(buffer); + CHECK_EQ("1", buffer.start()); + CHECK_EQ(1, point); + + DoubleToAscii(1.5, SHORTEST, 0, buffer, &sign, &length, &point); + CHECK_EQ("15", buffer.start()); + CHECK_EQ(1, point); + + DoubleToAscii(1.5f, SHORTEST_SINGLE, 0, buffer, &sign, &length, &point); + CHECK_EQ("15", buffer.start()); + CHECK_EQ(1, point); + + DoubleToAscii(1.5, FIXED, 10, buffer, &sign, &length, &point); + CHECK_GE(10, length - point); + TrimRepresentation(buffer); + CHECK_EQ("15", buffer.start()); + CHECK_EQ(1, point); + + DoubleToAscii(1.5, PRECISION, 10, buffer, &sign, &length, &point); + CHECK_GE(10, length); + TrimRepresentation(buffer); + CHECK_EQ("15", buffer.start()); + CHECK_EQ(1, point); + + double min_double = 5e-324; + DoubleToAscii(min_double, SHORTEST, 0, buffer, &sign, &length, &point); + CHECK_EQ("5", buffer.start()); + CHECK_EQ(-323, point); + + float min_float = 1e-45f; + DoubleToAscii(min_float, SHORTEST_SINGLE, 0, buffer, &sign, &length, &point); + CHECK_EQ("1", buffer.start()); + CHECK_EQ(-44, point); + + DoubleToAscii(min_double, FIXED, 5, buffer, &sign, &length, &point); + CHECK_GE(5, length - point); + TrimRepresentation(buffer); + CHECK_EQ("", buffer.start()); + CHECK_GE(-5, point); + + DoubleToAscii(min_double, PRECISION, 5, buffer, &sign, &length, &point); + CHECK_GE(5, length); + TrimRepresentation(buffer); + CHECK_EQ("49407", buffer.start()); + CHECK_EQ(-323, point); + + double max_double = 1.7976931348623157e308; + DoubleToAscii(max_double, SHORTEST, 0, buffer, &sign, &length, &point); + CHECK_EQ("17976931348623157", buffer.start()); + CHECK_EQ(309, point); + + float max_float = 3.4028234e38f; + DoubleToAscii(max_float, SHORTEST_SINGLE, 0, + buffer, &sign, &length, &point); + CHECK_EQ("34028235", buffer.start()); + CHECK_EQ(39, point); + + DoubleToAscii(max_double, PRECISION, 7, buffer, &sign, &length, &point); + CHECK_GE(7, length); + TrimRepresentation(buffer); + CHECK_EQ("1797693", buffer.start()); + CHECK_EQ(309, point); + + DoubleToAscii(4294967272.0, SHORTEST, 0, buffer, &sign, &length, &point); + CHECK_EQ("4294967272", buffer.start()); + CHECK_EQ(10, point); + + DoubleToAscii(4294967272.0f, SHORTEST_SINGLE, 0, buffer, &sign, &length, &point); + CHECK_EQ("42949673", buffer.start()); + CHECK_EQ(10, point); + + DoubleToAscii(4294967272.0, FIXED, 5, buffer, &sign, &length, &point); + CHECK_GE(5, length - point); + TrimRepresentation(buffer); + CHECK_EQ("4294967272", buffer.start()); + CHECK_EQ(10, point); + + DoubleToAscii(4294967272.0, PRECISION, 14, + buffer, &sign, &length, &point); + CHECK_GE(14, length); + TrimRepresentation(buffer); + CHECK_EQ("4294967272", buffer.start()); + CHECK_EQ(10, point); + + DoubleToAscii(4.1855804968213567e298, SHORTEST, 0, + buffer, &sign, &length, &point); + CHECK_EQ("4185580496821357", buffer.start()); + CHECK_EQ(299, point); + + DoubleToAscii(4.1855804968213567e298, PRECISION, 20, + buffer, &sign, &length, &point); + CHECK_GE(20, length); + TrimRepresentation(buffer); + CHECK_EQ("41855804968213567225", buffer.start()); + CHECK_EQ(299, point); + + DoubleToAscii(5.5626846462680035e-309, SHORTEST, 0, + buffer, &sign, &length, &point); + CHECK_EQ("5562684646268003", buffer.start()); + CHECK_EQ(-308, point); + + DoubleToAscii(5.5626846462680035e-309, PRECISION, 1, + buffer, &sign, &length, &point); + CHECK_GE(1, length); + TrimRepresentation(buffer); + CHECK_EQ("6", buffer.start()); + CHECK_EQ(-308, point); + + DoubleToAscii(-2147483648.0, SHORTEST, 0, + buffer, &sign, &length, &point); + CHECK_EQ(1, sign); + CHECK_EQ("2147483648", buffer.start()); + CHECK_EQ(10, point); + + DoubleToAscii(-2147483648.0, SHORTEST_SINGLE, 0, + buffer, &sign, &length, &point); + CHECK_EQ(1, sign); + CHECK_EQ("21474836", buffer.start()); + CHECK_EQ(10, point); + + + DoubleToAscii(-2147483648.0, FIXED, 2, buffer, &sign, &length, &point); + CHECK_GE(2, length - point); + TrimRepresentation(buffer); + CHECK_EQ(1, sign); + CHECK_EQ("2147483648", buffer.start()); + CHECK_EQ(10, point); + + DoubleToAscii(-2147483648.0, PRECISION, 5, + buffer, &sign, &length, &point); + CHECK_GE(5, length); + TrimRepresentation(buffer); + CHECK_EQ(1, sign); + CHECK_EQ("21475", buffer.start()); + CHECK_EQ(10, point); + + DoubleToAscii(-3.5844466002796428e+298, SHORTEST, 0, + buffer, &sign, &length, &point); + CHECK_EQ(1, sign); + CHECK_EQ("35844466002796428", buffer.start()); + CHECK_EQ(299, point); + + DoubleToAscii(-3.5844466002796428e+298, PRECISION, 10, + buffer, &sign, &length, &point); + CHECK_EQ(1, sign); + CHECK_GE(10, length); + TrimRepresentation(buffer); + CHECK_EQ("35844466", buffer.start()); + CHECK_EQ(299, point); + + uint64_t smallest_normal64 = UINT64_2PART_C(0x00100000, 00000000); + double v = Double(smallest_normal64).value(); + DoubleToAscii(v, SHORTEST, 0, buffer, &sign, &length, &point); + CHECK_EQ("22250738585072014", buffer.start()); + CHECK_EQ(-307, point); + + uint32_t smallest_normal32 = 0x00800000; + float f = Single(smallest_normal32).value(); + DoubleToAscii(f, SHORTEST_SINGLE, 0, buffer, &sign, &length, &point); + CHECK_EQ("11754944", buffer.start()); + CHECK_EQ(-37, point); + + DoubleToAscii(v, PRECISION, 20, buffer, &sign, &length, &point); + CHECK_GE(20, length); + TrimRepresentation(buffer); + CHECK_EQ("22250738585072013831", buffer.start()); + CHECK_EQ(-307, point); + + uint64_t largest_denormal64 = UINT64_2PART_C(0x000FFFFF, FFFFFFFF); + v = Double(largest_denormal64).value(); + DoubleToAscii(v, SHORTEST, 0, buffer, &sign, &length, &point); + CHECK_EQ("2225073858507201", buffer.start()); + CHECK_EQ(-307, point); + + uint32_t largest_denormal32 = 0x007FFFFF; + f = Single(largest_denormal32).value(); + DoubleToAscii(f, SHORTEST_SINGLE, 0, buffer, &sign, &length, &point); + CHECK_EQ("11754942", buffer.start()); + CHECK_EQ(-37, point); + + DoubleToAscii(v, PRECISION, 20, buffer, &sign, &length, &point); + CHECK_GE(20, length); + TrimRepresentation(buffer); + CHECK_EQ("2225073858507200889", buffer.start()); + CHECK_EQ(-307, point); + + DoubleToAscii(4128420500802942e-24, SHORTEST, 0, + buffer, &sign, &length, &point); + CHECK_EQ(0, sign); + CHECK_EQ("4128420500802942", buffer.start()); + CHECK_EQ(-8, point); + + v = -3.9292015898194142585311918e-10; + DoubleToAscii(v, SHORTEST, 0, buffer, &sign, &length, &point); + CHECK_EQ("39292015898194143", buffer.start()); + + f = -3.9292015898194142585311918e-10f; + DoubleToAscii(f, SHORTEST_SINGLE, 0, buffer, &sign, &length, &point); + CHECK_EQ("39292017", buffer.start()); + + v = 4194304.0; + DoubleToAscii(v, FIXED, 5, buffer, &sign, &length, &point); + CHECK_GE(5, length - point); + TrimRepresentation(buffer); + CHECK_EQ("4194304", buffer.start()); + + v = 3.3161339052167390562200598e-237; + DoubleToAscii(v, PRECISION, 19, buffer, &sign, &length, &point); + CHECK_GE(19, length); + TrimRepresentation(buffer); + CHECK_EQ("3316133905216739056", buffer.start()); + CHECK_EQ(-236, point); +} + + +TEST(DtoaSign) { + char buffer_container[kBufferSize]; + Vector buffer(buffer_container, kBufferSize); + bool sign; + int length; + int point; + + DoubleToAscii(0.0, SHORTEST, 0, buffer, &sign, &length, &point); + CHECK(!sign); + + DoubleToAscii(-0.0, SHORTEST, 0, buffer, &sign, &length, &point); + CHECK(sign); + + DoubleToAscii(1.0, SHORTEST, 0, buffer, &sign, &length, &point); + CHECK(!sign); + + DoubleToAscii(-1.0, SHORTEST, 0, buffer, &sign, &length, &point); + CHECK(sign); + + DoubleToAscii(0.0f, SHORTEST_SINGLE, 0, buffer, &sign, &length, &point); + CHECK(!sign); + + DoubleToAscii(-0.0f, SHORTEST_SINGLE, 0, buffer, &sign, &length, &point); + CHECK(sign); + + DoubleToAscii(1.0f, SHORTEST_SINGLE, 0, buffer, &sign, &length, &point); + CHECK(!sign); + + DoubleToAscii(-1.0f, SHORTEST_SINGLE, 0, buffer, &sign, &length, &point); + CHECK(sign); + + DoubleToAscii(0.0, PRECISION, 1, buffer, &sign, &length, &point); + CHECK(!sign); + + DoubleToAscii(-0.0, PRECISION, 1, buffer, &sign, &length, &point); + CHECK(sign); + + DoubleToAscii(1.0, PRECISION, 1, buffer, &sign, &length, &point); + CHECK(!sign); + + DoubleToAscii(-1.0, PRECISION, 1, buffer, &sign, &length, &point); + CHECK(sign); + + DoubleToAscii(0.0, FIXED, 1, buffer, &sign, &length, &point); + CHECK(!sign); + + DoubleToAscii(-0.0, FIXED, 1, buffer, &sign, &length, &point); + CHECK(sign); + + DoubleToAscii(1.0, FIXED, 1, buffer, &sign, &length, &point); + CHECK(!sign); + + DoubleToAscii(-1.0, FIXED, 1, buffer, &sign, &length, &point); + CHECK(sign); +} + + +TEST(DtoaCorners) { + char buffer_container[kBufferSize]; + Vector buffer(buffer_container, kBufferSize); + bool sign; + int length; + int point; + + DoubleToAscii(0.0, PRECISION, 0, buffer, &sign, &length, &point); + CHECK_EQ(0, length); + CHECK_EQ("", buffer.start()); + CHECK(!sign); + + DoubleToAscii(1.0, PRECISION, 0, buffer, &sign, &length, &point); + CHECK_EQ(0, length); + CHECK_EQ("", buffer.start()); + CHECK(!sign); + + DoubleToAscii(0.0, FIXED, 0, buffer, &sign, &length, &point); + CHECK_EQ(1, length); + CHECK_EQ("0", buffer.start()); + CHECK(!sign); + + DoubleToAscii(1.0, FIXED, 0, buffer, &sign, &length, &point); + CHECK_EQ(1, length); + CHECK_EQ("1", buffer.start()); + CHECK(!sign); +} + + +TEST(DtoaGayShortest) { + char buffer_container[kBufferSize]; + Vector buffer(buffer_container, kBufferSize); + bool sign; + int length; + int point; + + Vector precomputed = + PrecomputedShortestRepresentations(); + for (int i = 0; i < precomputed.length(); ++i) { + const PrecomputedShortest current_test = precomputed[i]; + double v = current_test.v; + DoubleToAscii(v, SHORTEST, 0, buffer, &sign, &length, &point); + CHECK(!sign); // All precomputed numbers are positive. + CHECK_EQ(current_test.decimal_point, point); + CHECK_EQ(current_test.representation, buffer.start()); + } +} + + +TEST(DtoaGayShortestSingle) { + char buffer_container[kBufferSize]; + Vector buffer(buffer_container, kBufferSize); + bool sign; + int length; + int point; + + Vector precomputed = + PrecomputedShortestSingleRepresentations(); + for (int i = 0; i < precomputed.length(); ++i) { + const PrecomputedShortestSingle current_test = precomputed[i]; + float v = current_test.v; + DoubleToAscii(v, SHORTEST_SINGLE, 0, buffer, &sign, &length, &point); + CHECK(!sign); // All precomputed numbers are positive. + CHECK_EQ(current_test.decimal_point, point); + CHECK_EQ(current_test.representation, buffer.start()); + } +} + + +TEST(DtoaGayFixed) { + char buffer_container[kBufferSize]; + Vector buffer(buffer_container, kBufferSize); + bool sign; + int length; + int point; + + Vector precomputed = + PrecomputedFixedRepresentations(); + for (int i = 0; i < precomputed.length(); ++i) { + const PrecomputedFixed current_test = precomputed[i]; + double v = current_test.v; + int number_digits = current_test.number_digits; + DoubleToAscii(v, FIXED, number_digits, buffer, &sign, &length, &point); + CHECK(!sign); // All precomputed numbers are positive. + CHECK_EQ(current_test.decimal_point, point); + CHECK_GE(number_digits, length - point); + TrimRepresentation(buffer); + CHECK_EQ(current_test.representation, buffer.start()); + } +} + + +TEST(DtoaGayPrecision) { + char buffer_container[kBufferSize]; + Vector buffer(buffer_container, kBufferSize); + bool sign; + int length; + int point; + + Vector precomputed = + PrecomputedPrecisionRepresentations(); + for (int i = 0; i < precomputed.length(); ++i) { + const PrecomputedPrecision current_test = precomputed[i]; + double v = current_test.v; + int number_digits = current_test.number_digits; + DoubleToAscii(v, PRECISION, number_digits, + buffer, &sign, &length, &point); + CHECK(!sign); // All precomputed numbers are positive. + CHECK_EQ(current_test.decimal_point, point); + CHECK_GE(number_digits, length); + TrimRepresentation(buffer); + CHECK_EQ(current_test.representation, buffer.start()); + } +} diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/test/cctest/test-fast-dtoa.cc julia-0.2.1~quantal7/deps/double-conversion-1.1.1/test/cctest/test-fast-dtoa.cc --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/test/cctest/test-fast-dtoa.cc 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/test/cctest/test-fast-dtoa.cc 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,372 @@ +// Copyright 2006-2008 the V8 project authors. All rights reserved. + +#include + +#include "cctest.h" +#include "diy-fp.h" +#include "fast-dtoa.h" +#include "gay-precision.h" +#include "gay-shortest.h" +#include "gay-shortest-single.h" +#include "ieee.h" +#include "utils.h" + +using namespace double_conversion; + +static const int kBufferSize = 100; + + +// Removes trailing '0' digits. +static void TrimRepresentation(Vector representation) { + int len = strlen(representation.start()); + int i; + for (i = len - 1; i >= 0; --i) { + if (representation[i] != '0') break; + } + representation[i + 1] = '\0'; +} + + +TEST(FastDtoaShortestVariousDoubles) { + char buffer_container[kBufferSize]; + Vector buffer(buffer_container, kBufferSize); + int length; + int point; + int status; + + double min_double = 5e-324; + status = FastDtoa(min_double, FAST_DTOA_SHORTEST, 0, + buffer, &length, &point); + CHECK(status); + CHECK_EQ("5", buffer.start()); + CHECK_EQ(-323, point); + + double max_double = 1.7976931348623157e308; + status = FastDtoa(max_double, FAST_DTOA_SHORTEST, 0, + buffer, &length, &point); + CHECK(status); + CHECK_EQ("17976931348623157", buffer.start()); + CHECK_EQ(309, point); + + status = FastDtoa(4294967272.0, FAST_DTOA_SHORTEST, 0, + buffer, &length, &point); + CHECK(status); + CHECK_EQ("4294967272", buffer.start()); + CHECK_EQ(10, point); + + status = FastDtoa(4.1855804968213567e298, FAST_DTOA_SHORTEST, 0, + buffer, &length, &point); + CHECK(status); + CHECK_EQ("4185580496821357", buffer.start()); + CHECK_EQ(299, point); + + status = FastDtoa(5.5626846462680035e-309, FAST_DTOA_SHORTEST, 0, + buffer, &length, &point); + CHECK(status); + CHECK_EQ("5562684646268003", buffer.start()); + CHECK_EQ(-308, point); + + status = FastDtoa(2147483648.0, FAST_DTOA_SHORTEST, 0, + buffer, &length, &point); + CHECK(status); + CHECK_EQ("2147483648", buffer.start()); + CHECK_EQ(10, point); + + status = FastDtoa(3.5844466002796428e+298, FAST_DTOA_SHORTEST, 0, + buffer, &length, &point); + if (status) { // Not all FastDtoa variants manage to compute this number. + CHECK_EQ("35844466002796428", buffer.start()); + CHECK_EQ(299, point); + } + + uint64_t smallest_normal64 = UINT64_2PART_C(0x00100000, 00000000); + double v = Double(smallest_normal64).value(); + status = FastDtoa(v, FAST_DTOA_SHORTEST, 0, buffer, &length, &point); + if (status) { + CHECK_EQ("22250738585072014", buffer.start()); + CHECK_EQ(-307, point); + } + + uint64_t largest_denormal64 = UINT64_2PART_C(0x000FFFFF, FFFFFFFF); + v = Double(largest_denormal64).value(); + status = FastDtoa(v, FAST_DTOA_SHORTEST, 0, buffer, &length, &point); + if (status) { + CHECK_EQ("2225073858507201", buffer.start()); + CHECK_EQ(-307, point); + } +} + + +TEST(FastDtoaShortestVariousFloats) { + char buffer_container[kBufferSize]; + Vector buffer(buffer_container, kBufferSize); + int length; + int point; + int status; + + float min_float = 1e-45f; + status = FastDtoa(min_float, FAST_DTOA_SHORTEST_SINGLE, 0, + buffer, &length, &point); + CHECK(status); + CHECK_EQ("1", buffer.start()); + CHECK_EQ(-44, point); + + + float max_float = 3.4028234e38f; + status = FastDtoa(max_float, FAST_DTOA_SHORTEST_SINGLE, 0, + buffer, &length, &point); + CHECK(status); + CHECK_EQ("34028235", buffer.start()); + CHECK_EQ(39, point); + + status = FastDtoa(4294967272.0f, FAST_DTOA_SHORTEST_SINGLE, 0, + buffer, &length, &point); + CHECK(status); + CHECK_EQ("42949673", buffer.start()); + CHECK_EQ(10, point); + + status = FastDtoa(3.32306998946228968226e+35f, FAST_DTOA_SHORTEST_SINGLE, 0, + buffer, &length, &point); + CHECK(status); + CHECK_EQ("332307", buffer.start()); + CHECK_EQ(36, point); + + status = FastDtoa(1.23405349260765015351e-41f, FAST_DTOA_SHORTEST_SINGLE, 0, + buffer, &length, &point); + CHECK(status); + CHECK_EQ("12341", buffer.start()); + CHECK_EQ(-40, point); + + status = FastDtoa(3.3554432e7, FAST_DTOA_SHORTEST_SINGLE, 0, + buffer, &length, &point); + CHECK(status); + CHECK_EQ("33554432", buffer.start()); + CHECK_EQ(8, point); + + status = FastDtoa(3.26494756798464e14f, FAST_DTOA_SHORTEST_SINGLE, 0, + buffer, &length, &point); + CHECK(status); + CHECK_EQ("32649476", buffer.start()); + CHECK_EQ(15, point); + + status = FastDtoa(3.91132223637771935344e37f, FAST_DTOA_SHORTEST_SINGLE, 0, + buffer, &length, &point); + if (status) { // Not all FastDtoa variants manage to compute this number. + CHECK_EQ("39113222", buffer.start()); + CHECK_EQ(38, point); + } + + uint32_t smallest_normal32 = 0x00800000; + float v = Single(smallest_normal32).value(); + status = FastDtoa(v, FAST_DTOA_SHORTEST_SINGLE, 0, buffer, &length, &point); + if (status) { + CHECK_EQ("11754944", buffer.start()); + CHECK_EQ(-37, point); + } + + uint32_t largest_denormal32 = 0x007FFFFF; + v = Single(largest_denormal32).value(); + status = FastDtoa(v, FAST_DTOA_SHORTEST_SINGLE, 0, buffer, &length, &point); + CHECK(status); + CHECK_EQ("11754942", buffer.start()); + CHECK_EQ(-37, point); +} + + +TEST(FastDtoaPrecisionVariousDoubles) { + char buffer_container[kBufferSize]; + Vector buffer(buffer_container, kBufferSize); + int length; + int point; + int status; + + status = FastDtoa(1.0, FAST_DTOA_PRECISION, 3, buffer, &length, &point); + CHECK(status); + CHECK(3 >= length); + TrimRepresentation(buffer); + CHECK_EQ("1", buffer.start()); + CHECK_EQ(1, point); + + status = FastDtoa(1.5, FAST_DTOA_PRECISION, 10, buffer, &length, &point); + if (status) { + CHECK(10 >= length); + TrimRepresentation(buffer); + CHECK_EQ("15", buffer.start()); + CHECK_EQ(1, point); + } + + double min_double = 5e-324; + status = FastDtoa(min_double, FAST_DTOA_PRECISION, 5, + buffer, &length, &point); + CHECK(status); + CHECK_EQ("49407", buffer.start()); + CHECK_EQ(-323, point); + + double max_double = 1.7976931348623157e308; + status = FastDtoa(max_double, FAST_DTOA_PRECISION, 7, + buffer, &length, &point); + CHECK(status); + CHECK_EQ("1797693", buffer.start()); + CHECK_EQ(309, point); + + status = FastDtoa(4294967272.0, FAST_DTOA_PRECISION, 14, + buffer, &length, &point); + if (status) { + CHECK(14 >= length); + TrimRepresentation(buffer); + CHECK_EQ("4294967272", buffer.start()); + CHECK_EQ(10, point); + } + + status = FastDtoa(4.1855804968213567e298, FAST_DTOA_PRECISION, 17, + buffer, &length, &point); + CHECK(status); + CHECK_EQ("41855804968213567", buffer.start()); + CHECK_EQ(299, point); + + status = FastDtoa(5.5626846462680035e-309, FAST_DTOA_PRECISION, 1, + buffer, &length, &point); + CHECK(status); + CHECK_EQ("6", buffer.start()); + CHECK_EQ(-308, point); + + status = FastDtoa(2147483648.0, FAST_DTOA_PRECISION, 5, + buffer, &length, &point); + CHECK(status); + CHECK_EQ("21475", buffer.start()); + CHECK_EQ(10, point); + + status = FastDtoa(3.5844466002796428e+298, FAST_DTOA_PRECISION, 10, + buffer, &length, &point); + CHECK(status); + CHECK(10 >= length); + TrimRepresentation(buffer); + CHECK_EQ("35844466", buffer.start()); + CHECK_EQ(299, point); + + uint64_t smallest_normal64 = UINT64_2PART_C(0x00100000, 00000000); + double v = Double(smallest_normal64).value(); + status = FastDtoa(v, FAST_DTOA_PRECISION, 17, buffer, &length, &point); + CHECK(status); + CHECK_EQ("22250738585072014", buffer.start()); + CHECK_EQ(-307, point); + + uint64_t largest_denormal64 = UINT64_2PART_C(0x000FFFFF, FFFFFFFF); + v = Double(largest_denormal64).value(); + status = FastDtoa(v, FAST_DTOA_PRECISION, 17, buffer, &length, &point); + CHECK(status); + CHECK(20 >= length); + TrimRepresentation(buffer); + CHECK_EQ("22250738585072009", buffer.start()); + CHECK_EQ(-307, point); + + v = 3.3161339052167390562200598e-237; + status = FastDtoa(v, FAST_DTOA_PRECISION, 18, buffer, &length, &point); + CHECK(status); + CHECK_EQ("331613390521673906", buffer.start()); + CHECK_EQ(-236, point); + + v = 7.9885183916008099497815232e+191; + status = FastDtoa(v, FAST_DTOA_PRECISION, 4, buffer, &length, &point); + CHECK(status); + CHECK_EQ("7989", buffer.start()); + CHECK_EQ(192, point); +} + + +TEST(FastDtoaGayShortest) { + char buffer_container[kBufferSize]; + Vector buffer(buffer_container, kBufferSize); + bool status; + int length; + int point; + int succeeded = 0; + int total = 0; + bool needed_max_length = false; + + Vector precomputed = + PrecomputedShortestRepresentations(); + for (int i = 0; i < precomputed.length(); ++i) { + const PrecomputedShortest current_test = precomputed[i]; + total++; + double v = current_test.v; + status = FastDtoa(v, FAST_DTOA_SHORTEST, 0, buffer, &length, &point); + CHECK(kFastDtoaMaximalLength >= length); + if (!status) continue; + if (length == kFastDtoaMaximalLength) needed_max_length = true; + succeeded++; + CHECK_EQ(current_test.decimal_point, point); + CHECK_EQ(current_test.representation, buffer.start()); + } + CHECK(succeeded*1.0/total > 0.99); + CHECK(needed_max_length); +} + + +TEST(FastDtoaGayShortestSingle) { + char buffer_container[kBufferSize]; + Vector buffer(buffer_container, kBufferSize); + bool status; + int length; + int point; + int succeeded = 0; + int total = 0; + bool needed_max_length = false; + + Vector precomputed = + PrecomputedShortestSingleRepresentations(); + for (int i = 0; i < precomputed.length(); ++i) { + const PrecomputedShortestSingle current_test = precomputed[i]; + total++; + float v = current_test.v; + status = FastDtoa(v, FAST_DTOA_SHORTEST_SINGLE, 0, buffer, &length, &point); + CHECK(kFastDtoaMaximalSingleLength >= length); + if (!status) continue; + if (length == kFastDtoaMaximalSingleLength) needed_max_length = true; + succeeded++; + CHECK_EQ(current_test.decimal_point, point); + CHECK_EQ(current_test.representation, buffer.start()); + } + CHECK(succeeded*1.0/total > 0.98); + CHECK(needed_max_length); +} + + +TEST(FastDtoaGayPrecision) { + char buffer_container[kBufferSize]; + Vector buffer(buffer_container, kBufferSize); + bool status; + int length; + int point; + int succeeded = 0; + int total = 0; + // Count separately for entries with less than 15 requested digits. + int succeeded_15 = 0; + int total_15 = 0; + + Vector precomputed = + PrecomputedPrecisionRepresentations(); + for (int i = 0; i < precomputed.length(); ++i) { + const PrecomputedPrecision current_test = precomputed[i]; + double v = current_test.v; + int number_digits = current_test.number_digits; + total++; + if (number_digits <= 15) total_15++; + status = FastDtoa(v, FAST_DTOA_PRECISION, number_digits, + buffer, &length, &point); + CHECK(number_digits >= length); + if (!status) continue; + succeeded++; + if (number_digits <= 15) succeeded_15++; + TrimRepresentation(buffer); + CHECK_EQ(current_test.decimal_point, point); + CHECK_EQ(current_test.representation, buffer.start()); + } + // The precomputed numbers contain many entries with many requested + // digits. These have a high failure rate and we therefore expect a lower + // success rate than for the shortest representation. + CHECK(succeeded*1.0/total > 0.85); + // However with less than 15 digits almost the algorithm should almost always + // succeed. + CHECK(succeeded_15*1.0/total_15 > 0.9999); +} diff -Nru julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/test/cctest/test-ieee.cc julia-0.2.1~quantal7/deps/double-conversion-1.1.1/test/cctest/test-ieee.cc --- julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1/test/cctest/test-ieee.cc 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/double-conversion-1.1.1/test/cctest/test-ieee.cc 2014-02-19 10:15:08.000000000 +0000 @@ -0,0 +1,422 @@ +// Copyright 2006-2008 the V8 project authors. All rights reserved. + +#include + +#include "cctest.h" +#include "diy-fp.h" +#include "ieee.h" +#include "utils.h" +#include "../../src/ieee.h" + + +using namespace double_conversion; + + +TEST(Uint64Conversions) { + // Start by checking the byte-order. + uint64_t ordered = UINT64_2PART_C(0x01234567, 89ABCDEF); + CHECK_EQ(3512700564088504e-318, Double(ordered).value()); + + uint64_t min_double64 = UINT64_2PART_C(0x00000000, 00000001); + CHECK_EQ(5e-324, Double(min_double64).value()); + + uint64_t max_double64 = UINT64_2PART_C(0x7fefffff, ffffffff); + CHECK_EQ(1.7976931348623157e308, Double(max_double64).value()); +} + + +TEST(Uint32Conversions) { + // Start by checking the byte-order. + uint32_t ordered = 0x01234567; + CHECK_EQ(2.9988165487136453e-38f, Single(ordered).value()); + + uint32_t min_float32 = 0x00000001; + CHECK_EQ(1.4e-45f, Single(min_float32).value()); + + uint32_t max_float32 = 0x7f7fffff; + CHECK_EQ(3.4028234e38f, Single(max_float32).value()); +} + + +TEST(Double_AsDiyFp) { + uint64_t ordered = UINT64_2PART_C(0x01234567, 89ABCDEF); + DiyFp diy_fp = Double(ordered).AsDiyFp(); + CHECK_EQ(0x12 - 0x3FF - 52, diy_fp.e()); + // The 52 mantissa bits, plus the implicit 1 in bit 52 as a UINT64. + CHECK(UINT64_2PART_C(0x00134567, 89ABCDEF) == diy_fp.f()); // NOLINT + + uint64_t min_double64 = UINT64_2PART_C(0x00000000, 00000001); + diy_fp = Double(min_double64).AsDiyFp(); + CHECK_EQ(-0x3FF - 52 + 1, diy_fp.e()); + // This is a denormal; so no hidden bit. + CHECK(1 == diy_fp.f()); // NOLINT + + uint64_t max_double64 = UINT64_2PART_C(0x7fefffff, ffffffff); + diy_fp = Double(max_double64).AsDiyFp(); + CHECK_EQ(0x7FE - 0x3FF - 52, diy_fp.e()); + CHECK(UINT64_2PART_C(0x001fffff, ffffffff) == diy_fp.f()); // NOLINT +} + + +TEST(Single_AsDiyFp) { + uint32_t ordered = 0x01234567; + DiyFp diy_fp = Single(ordered).AsDiyFp(); + CHECK_EQ(0x2 - 0x7F - 23, diy_fp.e()); + // The 23 mantissa bits, plus the implicit 1 in bit 24 as a uint32_t. + CHECK_EQ(0xA34567, diy_fp.f()); + + uint32_t min_float32 = 0x00000001; + diy_fp = Single(min_float32).AsDiyFp(); + CHECK_EQ(-0x7F - 23 + 1, diy_fp.e()); + // This is a denormal; so no hidden bit. + CHECK_EQ(1, diy_fp.f()); + + uint32_t max_float32 = 0x7f7fffff; + diy_fp = Single(max_float32).AsDiyFp(); + CHECK_EQ(0xFE - 0x7F - 23, diy_fp.e()); + CHECK_EQ(0x00ffffff, diy_fp.f()); +} + + +TEST(AsNormalizedDiyFp) { + uint64_t ordered = UINT64_2PART_C(0x01234567, 89ABCDEF); + DiyFp diy_fp = Double(ordered).AsNormalizedDiyFp(); + CHECK_EQ(0x12 - 0x3FF - 52 - 11, diy_fp.e()); + CHECK((UINT64_2PART_C(0x00134567, 89ABCDEF) << 11) == + diy_fp.f()); // NOLINT + + uint64_t min_double64 = UINT64_2PART_C(0x00000000, 00000001); + diy_fp = Double(min_double64).AsNormalizedDiyFp(); + CHECK_EQ(-0x3FF - 52 + 1 - 63, diy_fp.e()); + // This is a denormal; so no hidden bit. + CHECK(UINT64_2PART_C(0x80000000, 00000000) == diy_fp.f()); // NOLINT + + uint64_t max_double64 = UINT64_2PART_C(0x7fefffff, ffffffff); + diy_fp = Double(max_double64).AsNormalizedDiyFp(); + CHECK_EQ(0x7FE - 0x3FF - 52 - 11, diy_fp.e()); + CHECK((UINT64_2PART_C(0x001fffff, ffffffff) << 11) == + diy_fp.f()); // NOLINT +} + + +TEST(Double_IsDenormal) { + uint64_t min_double64 = UINT64_2PART_C(0x00000000, 00000001); + CHECK(Double(min_double64).IsDenormal()); + uint64_t bits = UINT64_2PART_C(0x000FFFFF, FFFFFFFF); + CHECK(Double(bits).IsDenormal()); + bits = UINT64_2PART_C(0x00100000, 00000000); + CHECK(!Double(bits).IsDenormal()); +} + + +TEST(Single_IsDenormal) { + uint32_t min_float32 = 0x00000001; + CHECK(Single(min_float32).IsDenormal()); + uint32_t bits = 0x007FFFFF; + CHECK(Single(bits).IsDenormal()); + bits = 0x00800000; + CHECK(!Single(bits).IsDenormal()); +} + + +TEST(Double_IsSpecial) { + CHECK(Double(Double::Infinity()).IsSpecial()); + CHECK(Double(-Double::Infinity()).IsSpecial()); + CHECK(Double(Double::NaN()).IsSpecial()); + uint64_t bits = UINT64_2PART_C(0xFFF12345, 00000000); + CHECK(Double(bits).IsSpecial()); + // Denormals are not special: + CHECK(!Double(5e-324).IsSpecial()); + CHECK(!Double(-5e-324).IsSpecial()); + // And some random numbers: + CHECK(!Double(0.0).IsSpecial()); + CHECK(!Double(-0.0).IsSpecial()); + CHECK(!Double(1.0).IsSpecial()); + CHECK(!Double(-1.0).IsSpecial()); + CHECK(!Double(1000000.0).IsSpecial()); + CHECK(!Double(-1000000.0).IsSpecial()); + CHECK(!Double(1e23).IsSpecial()); + CHECK(!Double(-1e23).IsSpecial()); + CHECK(!Double(1.7976931348623157e308).IsSpecial()); + CHECK(!Double(-1.7976931348623157e308).IsSpecial()); +} + + +TEST(Single_IsSpecial) { + CHECK(Single(Single::Infinity()).IsSpecial()); + CHECK(Single(-Single::Infinity()).IsSpecial()); + CHECK(Single(Single::NaN()).IsSpecial()); + uint32_t bits = 0xFFF12345; + CHECK(Single(bits).IsSpecial()); + // Denormals are not special: + CHECK(!Single(1.4e-45f).IsSpecial()); + CHECK(!Single(-1.4e-45f).IsSpecial()); + // And some random numbers: + CHECK(!Single(0.0f).IsSpecial()); + CHECK(!Single(-0.0f).IsSpecial()); + CHECK(!Single(1.0f).IsSpecial()); + CHECK(!Single(-1.0f).IsSpecial()); + CHECK(!Single(1000000.0f).IsSpecial()); + CHECK(!Single(-1000000.0f).IsSpecial()); + CHECK(!Single(1e23f).IsSpecial()); + CHECK(!Single(-1e23f).IsSpecial()); + CHECK(!Single(1.18e-38f).IsSpecial()); + CHECK(!Single(-1.18e-38f).IsSpecial()); +} + + +TEST(Double_IsInfinite) { + CHECK(Double(Double::Infinity()).IsInfinite()); + CHECK(Double(-Double::Infinity()).IsInfinite()); + CHECK(!Double(Double::NaN()).IsInfinite()); + CHECK(!Double(0.0).IsInfinite()); + CHECK(!Double(-0.0).IsInfinite()); + CHECK(!Double(1.0).IsInfinite()); + CHECK(!Double(-1.0).IsInfinite()); + uint64_t min_double64 = UINT64_2PART_C(0x00000000, 00000001); + CHECK(!Double(min_double64).IsInfinite()); +} + + +TEST(Single_IsInfinite) { + CHECK(Single(Single::Infinity()).IsInfinite()); + CHECK(Single(-Single::Infinity()).IsInfinite()); + CHECK(!Single(Single::NaN()).IsInfinite()); + CHECK(!Single(0.0f).IsInfinite()); + CHECK(!Single(-0.0f).IsInfinite()); + CHECK(!Single(1.0f).IsInfinite()); + CHECK(!Single(-1.0f).IsInfinite()); + uint32_t min_float32 = 0x00000001; + CHECK(!Single(min_float32).IsInfinite()); +} + + +TEST(Double_IsNan) { + CHECK(Double(Double::NaN()).IsNan()); + uint64_t other_nan = UINT64_2PART_C(0xFFFFFFFF, 00000001); + CHECK(Double(other_nan).IsNan()); + CHECK(!Double(Double::Infinity()).IsNan()); + CHECK(!Double(-Double::Infinity()).IsNan()); + CHECK(!Double(0.0).IsNan()); + CHECK(!Double(-0.0).IsNan()); + CHECK(!Double(1.0).IsNan()); + CHECK(!Double(-1.0).IsNan()); + uint64_t min_double64 = UINT64_2PART_C(0x00000000, 00000001); + CHECK(!Double(min_double64).IsNan()); +} + + +TEST(Single_IsNan) { + CHECK(Single(Single::NaN()).IsNan()); + uint32_t other_nan = 0xFFFFF001; + CHECK(Single(other_nan).IsNan()); + CHECK(!Single(Single::Infinity()).IsNan()); + CHECK(!Single(-Single::Infinity()).IsNan()); + CHECK(!Single(0.0f).IsNan()); + CHECK(!Single(-0.0f).IsNan()); + CHECK(!Single(1.0f).IsNan()); + CHECK(!Single(-1.0f).IsNan()); + uint32_t min_float32 = 0x00000001; + CHECK(!Single(min_float32).IsNan()); +} + + +TEST(Double_Sign) { + CHECK_EQ(1, Double(1.0).Sign()); + CHECK_EQ(1, Double(Double::Infinity()).Sign()); + CHECK_EQ(-1, Double(-Double::Infinity()).Sign()); + CHECK_EQ(1, Double(0.0).Sign()); + CHECK_EQ(-1, Double(-0.0).Sign()); + uint64_t min_double64 = UINT64_2PART_C(0x00000000, 00000001); + CHECK_EQ(1, Double(min_double64).Sign()); +} + + +TEST(Single_Sign) { + CHECK_EQ(1, Single(1.0f).Sign()); + CHECK_EQ(1, Single(Single::Infinity()).Sign()); + CHECK_EQ(-1, Single(-Single::Infinity()).Sign()); + CHECK_EQ(1, Single(0.0f).Sign()); + CHECK_EQ(-1, Single(-0.0f).Sign()); + uint32_t min_float32 = 0x00000001; + CHECK_EQ(1, Single(min_float32).Sign()); +} + + +TEST(Double_NormalizedBoundaries) { + DiyFp boundary_plus; + DiyFp boundary_minus; + DiyFp diy_fp = Double(1.5).AsNormalizedDiyFp(); + Double(1.5).NormalizedBoundaries(&boundary_minus, &boundary_plus); + CHECK_EQ(diy_fp.e(), boundary_minus.e()); + CHECK_EQ(diy_fp.e(), boundary_plus.e()); + // 1.5 does not have a significand of the form 2^p (for some p). + // Therefore its boundaries are at the same distance. + CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f()); + CHECK((1 << 10) == diy_fp.f() - boundary_minus.f()); // NOLINT + + diy_fp = Double(1.0).AsNormalizedDiyFp(); + Double(1.0).NormalizedBoundaries(&boundary_minus, &boundary_plus); + CHECK_EQ(diy_fp.e(), boundary_minus.e()); + CHECK_EQ(diy_fp.e(), boundary_plus.e()); + // 1.0 does have a significand of the form 2^p (for some p). + // Therefore its lower boundary is twice as close as the upper boundary. + CHECK(boundary_plus.f() - diy_fp.f() > diy_fp.f() - boundary_minus.f()); + CHECK((1 << 9) == diy_fp.f() - boundary_minus.f()); // NOLINT + CHECK((1 << 10) == boundary_plus.f() - diy_fp.f()); // NOLINT + + uint64_t min_double64 = UINT64_2PART_C(0x00000000, 00000001); + diy_fp = Double(min_double64).AsNormalizedDiyFp(); + Double(min_double64).NormalizedBoundaries(&boundary_minus, &boundary_plus); + CHECK_EQ(diy_fp.e(), boundary_minus.e()); + CHECK_EQ(diy_fp.e(), boundary_plus.e()); + // min-value does not have a significand of the form 2^p (for some p). + // Therefore its boundaries are at the same distance. + CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f()); + // Denormals have their boundaries much closer. + CHECK((static_cast(1) << 62) == + diy_fp.f() - boundary_minus.f()); // NOLINT + + uint64_t smallest_normal64 = UINT64_2PART_C(0x00100000, 00000000); + diy_fp = Double(smallest_normal64).AsNormalizedDiyFp(); + Double(smallest_normal64).NormalizedBoundaries(&boundary_minus, + &boundary_plus); + CHECK_EQ(diy_fp.e(), boundary_minus.e()); + CHECK_EQ(diy_fp.e(), boundary_plus.e()); + // Even though the significand is of the form 2^p (for some p), its boundaries + // are at the same distance. (This is the only exception). + CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f()); + CHECK((1 << 10) == diy_fp.f() - boundary_minus.f()); // NOLINT + + uint64_t largest_denormal64 = UINT64_2PART_C(0x000FFFFF, FFFFFFFF); + diy_fp = Double(largest_denormal64).AsNormalizedDiyFp(); + Double(largest_denormal64).NormalizedBoundaries(&boundary_minus, + &boundary_plus); + CHECK_EQ(diy_fp.e(), boundary_minus.e()); + CHECK_EQ(diy_fp.e(), boundary_plus.e()); + CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f()); + CHECK((1 << 11) == diy_fp.f() - boundary_minus.f()); // NOLINT + + uint64_t max_double64 = UINT64_2PART_C(0x7fefffff, ffffffff); + diy_fp = Double(max_double64).AsNormalizedDiyFp(); + Double(max_double64).NormalizedBoundaries(&boundary_minus, &boundary_plus); + CHECK_EQ(diy_fp.e(), boundary_minus.e()); + CHECK_EQ(diy_fp.e(), boundary_plus.e()); + // max-value does not have a significand of the form 2^p (for some p). + // Therefore its boundaries are at the same distance. + CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f()); + CHECK((1 << 10) == diy_fp.f() - boundary_minus.f()); // NOLINT +} + + +TEST(Single_NormalizedBoundaries) { + uint64_t kOne64 = 1; + DiyFp boundary_plus; + DiyFp boundary_minus; + DiyFp diy_fp = Single(1.5f).AsDiyFp(); + diy_fp.Normalize(); + Single(1.5f).NormalizedBoundaries(&boundary_minus, &boundary_plus); + CHECK_EQ(diy_fp.e(), boundary_minus.e()); + CHECK_EQ(diy_fp.e(), boundary_plus.e()); + // 1.5 does not have a significand of the form 2^p (for some p). + // Therefore its boundaries are at the same distance. + CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f()); + // Normalization shifts the significand by 8 bits. Add 32 bits for the bigger + // data-type, and remove 1 because boundaries are at half a ULP. + CHECK((kOne64 << 39) == diy_fp.f() - boundary_minus.f()); + + diy_fp = Single(1.0f).AsDiyFp(); + diy_fp.Normalize(); + Single(1.0f).NormalizedBoundaries(&boundary_minus, &boundary_plus); + CHECK_EQ(diy_fp.e(), boundary_minus.e()); + CHECK_EQ(diy_fp.e(), boundary_plus.e()); + // 1.0 does have a significand of the form 2^p (for some p). + // Therefore its lower boundary is twice as close as the upper boundary. + CHECK(boundary_plus.f() - diy_fp.f() > diy_fp.f() - boundary_minus.f()); + CHECK((kOne64 << 38) == diy_fp.f() - boundary_minus.f()); // NOLINT + CHECK((kOne64 << 39) == boundary_plus.f() - diy_fp.f()); // NOLINT + + uint32_t min_float32 = 0x00000001; + diy_fp = Single(min_float32).AsDiyFp(); + diy_fp.Normalize(); + Single(min_float32).NormalizedBoundaries(&boundary_minus, &boundary_plus); + CHECK_EQ(diy_fp.e(), boundary_minus.e()); + CHECK_EQ(diy_fp.e(), boundary_plus.e()); + // min-value does not have a significand of the form 2^p (for some p). + // Therefore its boundaries are at the same distance. + CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f()); + // Denormals have their boundaries much closer. + CHECK((kOne64 << 62) == diy_fp.f() - boundary_minus.f()); // NOLINT + + uint32_t smallest_normal32 = 0x00800000; + diy_fp = Single(smallest_normal32).AsDiyFp(); + diy_fp.Normalize(); + Single(smallest_normal32).NormalizedBoundaries(&boundary_minus, + &boundary_plus); + CHECK_EQ(diy_fp.e(), boundary_minus.e()); + CHECK_EQ(diy_fp.e(), boundary_plus.e()); + // Even though the significand is of the form 2^p (for some p), its boundaries + // are at the same distance. (This is the only exception). + CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f()); + CHECK((kOne64 << 39) == diy_fp.f() - boundary_minus.f()); // NOLINT + + uint32_t largest_denormal32 = 0x007FFFFF; + diy_fp = Single(largest_denormal32).AsDiyFp(); + diy_fp.Normalize(); + Single(largest_denormal32).NormalizedBoundaries(&boundary_minus, + &boundary_plus); + CHECK_EQ(diy_fp.e(), boundary_minus.e()); + CHECK_EQ(diy_fp.e(), boundary_plus.e()); + CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f()); + CHECK((kOne64 << 40) == diy_fp.f() - boundary_minus.f()); // NOLINT + + uint32_t max_float32 = 0x7f7fffff; + diy_fp = Single(max_float32).AsDiyFp(); + diy_fp.Normalize(); + Single(max_float32).NormalizedBoundaries(&boundary_minus, &boundary_plus); + CHECK_EQ(diy_fp.e(), boundary_minus.e()); + CHECK_EQ(diy_fp.e(), boundary_plus.e()); + // max-value does not have a significand of the form 2^p (for some p). + // Therefore its boundaries are at the same distance. + CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f()); + CHECK((kOne64 << 39) == diy_fp.f() - boundary_minus.f()); // NOLINT +} + + +TEST(NextDouble) { + CHECK_EQ(4e-324, Double(0.0).NextDouble()); + CHECK_EQ(0.0, Double(-0.0).NextDouble()); + CHECK_EQ(-0.0, Double(-4e-324).NextDouble()); + CHECK(Double(Double(-0.0).NextDouble()).Sign() > 0); + CHECK(Double(Double(-4e-324).NextDouble()).Sign() < 0); + Double d0(-4e-324); + Double d1(d0.NextDouble()); + Double d2(d1.NextDouble()); + CHECK_EQ(-0.0, d1.value()); + CHECK(d1.Sign() < 0); + CHECK_EQ(0.0, d2.value()); + CHECK(d2.Sign() > 0); + CHECK_EQ(4e-324, d2.NextDouble()); + CHECK_EQ(-1.7976931348623157e308, Double(-Double::Infinity()).NextDouble()); + CHECK_EQ(Double::Infinity(), + Double(UINT64_2PART_C(0x7fefffff, ffffffff)).NextDouble()); +} + + +TEST(PreviousDouble) { + CHECK_EQ(0.0, Double(4e-324).PreviousDouble()); + CHECK_EQ(-0.0, Double(0.0).PreviousDouble()); + CHECK(Double(Double(0.0).PreviousDouble()).Sign() < 0); + CHECK_EQ(-4e-324, Double(-0.0).PreviousDouble()); + Double d0(4e-324); + Double d1(d0.PreviousDouble()); + Double d2(d1.PreviousDouble()); + CHECK_EQ(0.0, d1.value()); + CHECK(d1.Sign() > 0); + CHECK_EQ(-0.0, d2.value()); + CHECK(d2.Sign() < 0); + CHECK_EQ(-4e-324, d2.PreviousDouble()); + CHECK_EQ(1.7976931348623157e308, Double(Double::Infinity()).PreviousDouble()); + CHECK_EQ(-Double::Infinity(), + Double(UINT64_2PART_C(0xffefffff, ffffffff)).PreviousDouble()); +} Binary files /tmp/qOffMdH2Ko/julia-0.2.0~quantalfinal1/deps/double-conversion-1.1.1.tar.gz and /tmp/lEflhxCx4d/julia-0.2.1~quantal7/deps/double-conversion-1.1.1.tar.gz differ diff -Nru julia-0.2.0~quantalfinal1/deps/find_python_for_llvm julia-0.2.1~quantal7/deps/find_python_for_llvm --- julia-0.2.0~quantalfinal1/deps/find_python_for_llvm 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/find_python_for_llvm 2014-02-19 11:08:13.000000000 +0000 @@ -0,0 +1,16 @@ +#!/bin/sh +# +# LLVM 3.3 requires 2.5 <= python < 3.0 +# + +valid_python() { + $1 -c 'import sys; sys.exit(not (sys.version_info >= (2,5) and sys.version_info < (3,0)))' 2> /dev/null +} + +for python in python python2 python2.7 python27 python2.6 python26 python2.5 python25; do + if valid_python $python; then + echo `which $python` + break + fi +done + diff -Nru julia-0.2.0~quantalfinal1/deps/Makefile julia-0.2.1~quantal7/deps/Makefile --- julia-0.2.0~quantalfinal1/deps/Makefile 2013-11-17 02:07:04.000000000 +0000 +++ julia-0.2.1~quantal7/deps/Makefile 2014-02-20 02:34:07.000000000 +0000 @@ -257,6 +257,7 @@ llvm-$(LLVM_VER)/configure: llvm-$(LLVM_VER)/tools/lldb endif +ifeq ($(LLVM_VER), 3.2) ## LLVM needs python 2.x, but doesn't check for it, so we have to use an ugly workaround to make it compile llvm-$(LLVM_VER)/python2_path: mkdir -p llvm-$(LLVM_VER)/python2_path @@ -264,7 +265,9 @@ /usr/bin/python2 -c 'import sys; sys.exit(not sys.version_info < (3, 0))' && \ ln -sf /usr/bin/python2 "llvm-$(LLVM_VER)/python2_path/python" llvm_python_workaround=llvm-$(LLVM_VER)/python2_path - +else ifeq ($(LLVM_VER), 3.3) + LLVM_FLAGS += --with-python="$(shell ./find_python_for_llvm)" +endif llvm-$(LLVM_VER)/configure: $(LLVM_TAR) $(LLVM_CLANG_TAR) $(LLVM_COMPILER_RT_TAR) ifneq ($(LLVM_VER),svn) @@ -440,7 +443,7 @@ endif libuv/configure: - (cd .. && git submodule init && git submodule update) + echo "(cd .. && git submodule init && git submodule update)" ifeq (exists, $(shell [ -d libuv/.git ] && echo exists )) libuv/config.status: libuv/.git/HEAD endif @@ -486,7 +489,7 @@ PCRE_OBJ_TARGET = $(BUILD)/$(JL_LIBDIR)/libpcre.$(SHLIB_EXT) pcre-$(PCRE_VER).tar.bz2: - $(JLDOWNLOAD) ftp://ftp.csx.cam.ac.uk/pub/software/programming/pcre/$@ + $(JLDOWNLOAD) $@ http://sourceforge.net/projects/pcre/files/pcre/$(PCRE_VER)/$@/download pcre-$(PCRE_VER)/configure: pcre-$(PCRE_VER).tar.bz2 tar jxf $< touch -c $@ @@ -576,7 +579,7 @@ OPENLIBMEXT_OBJ_SOURCE = openlibm/libopenlibm-extras.$(SHLIB_EXT) openlibm/Makefile openlibm/Makefile.extras: - (cd .. && git submodule init && git submodule update) + echo "(cd .. && git submodule init && git submodule update)" ifeq (exists, $(shell [ -d openlibm/.git ] && echo exists )) $(OPENLIBM_OBJ_SOURCE): openlibm/.git/HEAD $(OPENLIBMEXT_OBJ_SOURCE): openlibm/.git/HEAD @@ -675,7 +678,7 @@ USE_LIBRANDOM=1 LIBRANDOM_PATH="$(BUILD)/$(JL_LIBDIR)" Rmath/Make.inc: - (cd .. && git submodule init && git submodule update) + echo "(cd .. && git submodule init && git submodule update)" ifeq (exists, $(shell [ -d Rmath/.git ] && echo exists )) $(RMATH_OBJ_SOURCE): Rmath/.git/HEAD endif diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/d1mach.f julia-0.2.1~quantal7/deps/openspecfun/amos/d1mach.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/d1mach.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/d1mach.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,97 @@ +*DECK D1MACH + DOUBLE PRECISION FUNCTION D1MACH(I) +C***BEGIN PROLOGUE D1MACH +C***DATE WRITTEN 750101 (YYMMDD) +C***REVISION DATE 890213 (YYMMDD) +C***CATEGORY NO. R1 +C***KEYWORDS LIBRARY=SLATEC,TYPE=DOUBLE PRECISION(R1MACH-S D1MACH-D), +C MACHINE CONSTANTS +C***AUTHOR FOX, P. A., (BELL LABS) +C HALL, A. D., (BELL LABS) +C SCHRYER, N. L., (BELL LABS) +C***PURPOSE Returns double precision machine dependent constants +C***DESCRIPTION +C +C D1MACH can be used to obtain machine-dependent parameters +C for the local machine environment. It is a function +C subprogram with one (input) argument, and can be called +C as follows, for example +C +C D = D1MACH(I) +C +C where I=1,...,5. The (output) value of D above is +C determined by the (input) value of I. The results for +C various values of I are discussed below. +C +C D1MACH( 1) = B**(EMIN-1), the smallest positive magnitude. +C D1MACH( 2) = B**EMAX*(1 - B**(-T)), the largest magnitude. +C D1MACH( 3) = B**(-T), the smallest relative spacing. +C D1MACH( 4) = B**(1-T), the largest relative spacing. +C D1MACH( 5) = LOG10(B) +C +C Assume double precision numbers are represented in the T-digit, +C base-B form +C +C sign (B**E)*( (X(1)/B) + ... + (X(T)/B**T) ) +C +C where 0 .LE. X(I) .LT. B for I=1,...,T, 0 .LT. X(1), and +C EMIN .LE. E .LE. EMAX. +C +C The values of B, T, EMIN and EMAX are provided in I1MACH as +C follows: +C I1MACH(10) = B, the base. +C I1MACH(14) = T, the number of base-B digits. +C I1MACH(15) = EMIN, the smallest exponent E. +C I1MACH(16) = EMAX, the largest exponent E. +C +C To alter this function for a particular environment, +C the desired set of DATA statements should be activated by +C removing the C from column 1. Also, the values of +C D1MACH(1) - D1MACH(4) should be checked for consistency +C with the local operating system. +C +C***REFERENCES FOX P.A., HALL A.D., SCHRYER N.L.,*FRAMEWORK FOR A +C PORTABLE LIBRARY*, ACM TRANSACTIONS ON MATHEMATICAL +C SOFTWARE, VOL. 4, NO. 2, JUNE 1978, PP. 177-188. +C***ROUTINES CALLED XERROR +C***END PROLOGUE D1MACH +C + INTEGER SMALL(4) + INTEGER LARGE(4) + INTEGER RIGHT(4) + INTEGER DIVER(4) + INTEGER LOG10(4) +C + DOUBLE PRECISION DMACH(5) + SAVE DMACH +C +C EQUIVALENCE (DMACH(1),SMALL(1)) +C EQUIVALENCE (DMACH(2),LARGE(1)) +C EQUIVALENCE (DMACH(3),RIGHT(1)) +C EQUIVALENCE (DMACH(4),DIVER(1)) +C EQUIVALENCE (DMACH(5),LOG10(1)) +C +C MACHINE CONSTANTS FOR THE IBM PC +C ASSUMES THAT ALL ARITHMETIC IS DONE IN DOUBLE PRECISION +C ON 8088, I.E., NOT IN 80 BIT FORM FOR THE 8087. +C + DATA DMACH(1) / 2.23D-308 / +C DATA SMALL(1),SMALL(2) / 2002288515, 1050897 / + DATA DMACH(2) / 1.79D-308 / +C DATA LARGE(1),LARGE(2) / 1487780761, 2146426097 / + DATA DMACH(3) / 1.11D-16 / +C DATA RIGHT(1),RIGHT(2) / -1209488034, 1017118298 / + DATA DMACH(4) / 2.22D-16 / +C DATA DIVER(1),DIVER(2) / -1209488034, 1018166874 / + DATA DMACH(5) / 0.3010299956639812 / +C DATA LOG10(1),LOG10(2) / 1352628735, 1070810131 / +C +C +C***FIRST EXECUTABLE STATEMENT D1MACH + IF (I .LT. 1 .OR. I .GT. 5) + 1 CALL XERROR ('D1MACH -- I OUT OF BOUNDS', 25, 1, 2) +C + D1MACH = DMACH(I) + RETURN +C + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/dgamln.f julia-0.2.1~quantal7/deps/openspecfun/amos/dgamln.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/dgamln.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/dgamln.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,189 @@ + DOUBLE PRECISION FUNCTION DGAMLN(Z,IERR) +C***BEGIN PROLOGUE DGAMLN +C***DATE WRITTEN 830501 (YYMMDD) +C***REVISION DATE 830501 (YYMMDD) +C***CATEGORY NO. B5F +C***KEYWORDS GAMMA FUNCTION,LOGARITHM OF GAMMA FUNCTION +C***AUTHOR AMOS, DONALD E., SANDIA NATIONAL LABORATORIES +C***PURPOSE TO COMPUTE THE LOGARITHM OF THE GAMMA FUNCTION +C***DESCRIPTION +C +C **** A DOUBLE PRECISION ROUTINE **** +C DGAMLN COMPUTES THE NATURAL LOG OF THE GAMMA FUNCTION FOR +C Z.GT.0. THE ASYMPTOTIC EXPANSION IS USED TO GENERATE VALUES +C GREATER THAN ZMIN WHICH ARE ADJUSTED BY THE RECURSION +C G(Z+1)=Z*G(Z) FOR Z.LE.ZMIN. THE FUNCTION WAS MADE AS +C PORTABLE AS POSSIBLE BY COMPUTIMG ZMIN FROM THE NUMBER OF BASE +C 10 DIGITS IN A WORD, RLN=AMAX1(-ALOG10(R1MACH(4)),0.5E-18) +C LIMITED TO 18 DIGITS OF (RELATIVE) ACCURACY. +C +C SINCE INTEGER ARGUMENTS ARE COMMON, A TABLE LOOK UP ON 100 +C VALUES IS USED FOR SPEED OF EXECUTION. +C +C DESCRIPTION OF ARGUMENTS +C +C INPUT Z IS D0UBLE PRECISION +C Z - ARGUMENT, Z.GT.0.0D0 +C +C OUTPUT DGAMLN IS DOUBLE PRECISION +C DGAMLN - NATURAL LOG OF THE GAMMA FUNCTION AT Z.NE.0.0D0 +C IERR - ERROR FLAG +C IERR=0, NORMAL RETURN, COMPUTATION COMPLETED +C IERR=1, Z.LE.0.0D0, NO COMPUTATION +C +C +C***REFERENCES COMPUTATION OF BESSEL FUNCTIONS OF COMPLEX ARGUMENT +C BY D. E. AMOS, SAND83-0083, MAY, 1983. +C***ROUTINES CALLED I1MACH,D1MACH +C***END PROLOGUE DGAMLN + DOUBLE PRECISION CF, CON, FLN, FZ, GLN, RLN, S, TLG, TRM, TST, + * T1, WDTOL, Z, ZDMY, ZINC, ZM, ZMIN, ZP, ZSQ, D1MACH + INTEGER I, IERR, I1M, K, MZ, NZ, I1MACH + DIMENSION CF(22), GLN(100) +C LNGAMMA(N), N=1,100 + DATA GLN(1), GLN(2), GLN(3), GLN(4), GLN(5), GLN(6), GLN(7), + 1 GLN(8), GLN(9), GLN(10), GLN(11), GLN(12), GLN(13), GLN(14), + 2 GLN(15), GLN(16), GLN(17), GLN(18), GLN(19), GLN(20), + 3 GLN(21), GLN(22)/ + 4 0.00000000000000000D+00, 0.00000000000000000D+00, + 5 6.93147180559945309D-01, 1.79175946922805500D+00, + 6 3.17805383034794562D+00, 4.78749174278204599D+00, + 7 6.57925121201010100D+00, 8.52516136106541430D+00, + 8 1.06046029027452502D+01, 1.28018274800814696D+01, + 9 1.51044125730755153D+01, 1.75023078458738858D+01, + A 1.99872144956618861D+01, 2.25521638531234229D+01, + B 2.51912211827386815D+01, 2.78992713838408916D+01, + C 3.06718601060806728D+01, 3.35050734501368889D+01, + D 3.63954452080330536D+01, 3.93398841871994940D+01, + E 4.23356164607534850D+01, 4.53801388984769080D+01/ + DATA GLN(23), GLN(24), GLN(25), GLN(26), GLN(27), GLN(28), + 1 GLN(29), GLN(30), GLN(31), GLN(32), GLN(33), GLN(34), + 2 GLN(35), GLN(36), GLN(37), GLN(38), GLN(39), GLN(40), + 3 GLN(41), GLN(42), GLN(43), GLN(44)/ + 4 4.84711813518352239D+01, 5.16066755677643736D+01, + 5 5.47847293981123192D+01, 5.80036052229805199D+01, + 6 6.12617017610020020D+01, 6.45575386270063311D+01, + 7 6.78897431371815350D+01, 7.12570389671680090D+01, + 8 7.46582363488301644D+01, 7.80922235533153106D+01, + 9 8.15579594561150372D+01, 8.50544670175815174D+01, + A 8.85808275421976788D+01, 9.21361756036870925D+01, + B 9.57196945421432025D+01, 9.93306124547874269D+01, + C 1.02968198614513813D+02, 1.06631760260643459D+02, + D 1.10320639714757395D+02, 1.14034211781461703D+02, + E 1.17771881399745072D+02, 1.21533081515438634D+02/ + DATA GLN(45), GLN(46), GLN(47), GLN(48), GLN(49), GLN(50), + 1 GLN(51), GLN(52), GLN(53), GLN(54), GLN(55), GLN(56), + 2 GLN(57), GLN(58), GLN(59), GLN(60), GLN(61), GLN(62), + 3 GLN(63), GLN(64), GLN(65), GLN(66)/ + 4 1.25317271149356895D+02, 1.29123933639127215D+02, + 5 1.32952575035616310D+02, 1.36802722637326368D+02, + 6 1.40673923648234259D+02, 1.44565743946344886D+02, + 7 1.48477766951773032D+02, 1.52409592584497358D+02, + 8 1.56360836303078785D+02, 1.60331128216630907D+02, + 9 1.64320112263195181D+02, 1.68327445448427652D+02, + A 1.72352797139162802D+02, 1.76395848406997352D+02, + B 1.80456291417543771D+02, 1.84533828861449491D+02, + C 1.88628173423671591D+02, 1.92739047287844902D+02, + D 1.96866181672889994D+02, 2.01009316399281527D+02, + E 2.05168199482641199D+02, 2.09342586752536836D+02/ + DATA GLN(67), GLN(68), GLN(69), GLN(70), GLN(71), GLN(72), + 1 GLN(73), GLN(74), GLN(75), GLN(76), GLN(77), GLN(78), + 2 GLN(79), GLN(80), GLN(81), GLN(82), GLN(83), GLN(84), + 3 GLN(85), GLN(86), GLN(87), GLN(88)/ + 4 2.13532241494563261D+02, 2.17736934113954227D+02, + 5 2.21956441819130334D+02, 2.26190548323727593D+02, + 6 2.30439043565776952D+02, 2.34701723442818268D+02, + 7 2.38978389561834323D+02, 2.43268849002982714D+02, + 8 2.47572914096186884D+02, 2.51890402209723194D+02, + 9 2.56221135550009525D+02, 2.60564940971863209D+02, + A 2.64921649798552801D+02, 2.69291097651019823D+02, + B 2.73673124285693704D+02, 2.78067573440366143D+02, + C 2.82474292687630396D+02, 2.86893133295426994D+02, + D 2.91323950094270308D+02, 2.95766601350760624D+02, + E 3.00220948647014132D+02, 3.04686856765668715D+02/ + DATA GLN(89), GLN(90), GLN(91), GLN(92), GLN(93), GLN(94), + 1 GLN(95), GLN(96), GLN(97), GLN(98), GLN(99), GLN(100)/ + 2 3.09164193580146922D+02, 3.13652829949879062D+02, + 3 3.18152639620209327D+02, 3.22663499126726177D+02, + 4 3.27185287703775217D+02, 3.31717887196928473D+02, + 5 3.36261181979198477D+02, 3.40815058870799018D+02, + 6 3.45379407062266854D+02, 3.49954118040770237D+02, + 7 3.54539085519440809D+02, 3.59134205369575399D+02/ +C COEFFICIENTS OF ASYMPTOTIC EXPANSION + DATA CF(1), CF(2), CF(3), CF(4), CF(5), CF(6), CF(7), CF(8), + 1 CF(9), CF(10), CF(11), CF(12), CF(13), CF(14), CF(15), + 2 CF(16), CF(17), CF(18), CF(19), CF(20), CF(21), CF(22)/ + 3 8.33333333333333333D-02, -2.77777777777777778D-03, + 4 7.93650793650793651D-04, -5.95238095238095238D-04, + 5 8.41750841750841751D-04, -1.91752691752691753D-03, + 6 6.41025641025641026D-03, -2.95506535947712418D-02, + 7 1.79644372368830573D-01, -1.39243221690590112D+00, + 8 1.34028640441683920D+01, -1.56848284626002017D+02, + 9 2.19310333333333333D+03, -3.61087712537249894D+04, + A 6.91472268851313067D+05, -1.52382215394074162D+07, + B 3.82900751391414141D+08, -1.08822660357843911D+10, + C 3.47320283765002252D+11, -1.23696021422692745D+13, + D 4.88788064793079335D+14, -2.13203339609193739D+16/ +C +C LN(2*PI) + DATA CON / 1.83787706640934548D+00/ +C +C***FIRST EXECUTABLE STATEMENT DGAMLN + IERR=0 + IF (Z.LE.0.0D0) GO TO 70 + IF (Z.GT.101.0D0) GO TO 10 + NZ = INT(SNGL(Z)) + FZ = Z - FLOAT(NZ) + IF (FZ.GT.0.0D0) GO TO 10 + IF (NZ.GT.100) GO TO 10 + DGAMLN = GLN(NZ) + RETURN + 10 CONTINUE + WDTOL = D1MACH(4) + WDTOL = DMAX1(WDTOL,0.5D-18) + I1M = I1MACH(14) + RLN = D1MACH(5)*FLOAT(I1M) + FLN = DMIN1(RLN,20.0D0) + FLN = DMAX1(FLN,3.0D0) + FLN = FLN - 3.0D0 + ZM = 1.8000D0 + 0.3875D0*FLN + MZ = INT(SNGL(ZM)) + 1 + ZMIN = FLOAT(MZ) + ZDMY = Z + ZINC = 0.0D0 + IF (Z.GE.ZMIN) GO TO 20 + ZINC = ZMIN - FLOAT(NZ) + ZDMY = Z + ZINC + 20 CONTINUE + ZP = 1.0D0/ZDMY + T1 = CF(1)*ZP + S = T1 + IF (ZP.LT.WDTOL) GO TO 40 + ZSQ = ZP*ZP + TST = T1*WDTOL + DO 30 K=2,22 + ZP = ZP*ZSQ + TRM = CF(K)*ZP + IF (DABS(TRM).LT.TST) GO TO 40 + S = S + TRM + 30 CONTINUE + 40 CONTINUE + IF (ZINC.NE.0.0D0) GO TO 50 + TLG = DLOG(Z) + DGAMLN = Z*(TLG-1.0D0) + 0.5D0*(CON-TLG) + S + RETURN + 50 CONTINUE + ZP = 1.0D0 + NZ = INT(SNGL(ZINC)) + DO 60 I=1,NZ + ZP = ZP*(Z+FLOAT(I-1)) + 60 CONTINUE + TLG = DLOG(ZDMY) + DGAMLN = ZDMY*(TLG-1.0D0) - DLOG(ZP) + 0.5D0*(CON-TLG) + S + RETURN +C +C + 70 CONTINUE + IERR=1 + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/i1mach.f julia-0.2.1~quantal7/deps/openspecfun/amos/i1mach.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/i1mach.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/i1mach.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,113 @@ +*DECK I1MACH + INTEGER FUNCTION I1MACH(I) +C***BEGIN PROLOGUE I1MACH +C***DATE WRITTEN 750101 (YYMMDD) +C***REVISION DATE 890213 (YYMMDD) +C***CATEGORY NO. R1 +C***KEYWORDS LIBRARY=SLATEC,TYPE=INTEGER(I1MACH-I),MACHINE CONSTANTS +C***AUTHOR FOX, P. A., (BELL LABS) +C HALL, A. D., (BELL LABS) +C SCHRYER, N. L., (BELL LABS) +C***PURPOSE Returns integer machine dependent constants +C***DESCRIPTION +C +C I1MACH can be used to obtain machine-dependent parameters +C for the local machine environment. It is a function +C subroutine with one (input) argument, and can be called +C as follows, for example +C +C K = I1MACH(I) +C +C where I=1,...,16. The (output) value of K above is +C determined by the (input) value of I. The results for +C various values of I are discussed below. +C +C I/O unit numbers. +C I1MACH( 1) = the standard input unit. +C I1MACH( 2) = the standard output unit. +C I1MACH( 3) = the standard punch unit. +C I1MACH( 4) = the standard error message unit. +C +C Words. +C I1MACH( 5) = the number of bits per integer storage unit. +C I1MACH( 6) = the number of characters per integer storage unit. +C +C Integers. +C assume integers are represented in the S-digit, base-A form +C +C sign ( X(S-1)*A**(S-1) + ... + X(1)*A + X(0) ) +C +C where 0 .LE. X(I) .LT. A for I=0,...,S-1. +C I1MACH( 7) = A, the base. +C I1MACH( 8) = S, the number of base-A digits. +C I1MACH( 9) = A**S - 1, the largest magnitude. +C +C Floating-Point Numbers. +C Assume floating-point numbers are represented in the T-digit, +C base-B form +C sign (B**E)*( (X(1)/B) + ... + (X(T)/B**T) ) +C +C where 0 .LE. X(I) .LT. B for I=1,...,T, +C 0 .LT. X(1), and EMIN .LE. E .LE. EMAX. +C I1MACH(10) = B, the base. +C +C Single-Precision +C I1MACH(11) = T, the number of base-B digits. +C I1MACH(12) = EMIN, the smallest exponent E. +C I1MACH(13) = EMAX, the largest exponent E. +C +C Double-Precision +C I1MACH(14) = T, the number of base-B digits. +C I1MACH(15) = EMIN, the smallest exponent E. +C I1MACH(16) = EMAX, the largest exponent E. +C +C To alter this function for a particular environment, +C the desired set of DATA statements should be activated by +C removing the C from column 1. Also, the values of +C I1MACH(1) - I1MACH(4) should be checked for consistency +C with the local operating system. +C +C***REFERENCES FOX P.A., HALL A.D., SCHRYER N.L.,*FRAMEWORK FOR A +C PORTABLE LIBRARY*, ACM TRANSACTIONS ON MATHEMATICAL +C SOFTWARE, VOL. 4, NO. 2, JUNE 1978, PP. 177-188. +C***ROUTINES CALLED (NONE) +C***END PROLOGUE I1MACH +C + INTEGER IMACH(16),OUTPUT + SAVE IMACH + EQUIVALENCE (IMACH(4),OUTPUT) +C +C MACHINE CONSTANTS FOR THE IBM PC +C + DATA IMACH( 1) / 5 / + DATA IMACH( 2) / 6 / + DATA IMACH( 3) / 0 / + DATA IMACH( 4) / 0 / + DATA IMACH( 5) / 32 / + DATA IMACH( 6) / 4 / + DATA IMACH( 7) / 2 / + DATA IMACH( 8) / 31 / + DATA IMACH( 9) / 2147483647 / + DATA IMACH(10) / 2 / + DATA IMACH(11) / 24 / + DATA IMACH(12) / -125 / + DATA IMACH(13) / 127 / + DATA IMACH(14) / 53 / + DATA IMACH(15) / -1021 / + DATA IMACH(16) / 1023 / +C +C***FIRST EXECUTABLE STATEMENT I1MACH + IF (I .LT. 1 .OR. I .GT. 16) GO TO 10 +C + I1MACH = IMACH(I) + RETURN +C + 10 CONTINUE + WRITE (UNIT = OUTPUT, FMT = 9000) + 9000 FORMAT ('1ERROR 1 IN I1MACH - I OUT OF BOUNDS') +C +C CALL FDUMP +C +C + STOP + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/Make.files julia-0.2.1~quantal7/deps/openspecfun/amos/Make.files --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/Make.files 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/Make.files 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,5 @@ +$(CUR_SRCS) += d1mach.f zabs.f zasyi.f zbesk.f zbknu.f zexp.f zmlt.f zshch.f zuni1.f zunk2.f \ + dgamln.f zacai.f zbesh.f zbesy.f zbuni.f zkscl.f zrati.f zsqrt.f zuni2.f zuoik.f \ + i1mach.f zacon.f zbesi.f zbinu.f zbunk.f zlog.f zs1s2.f zuchk.f zunik.f zwrsk.f \ + xerror.f zairy.f zbesj.f zbiry.f zdiv.f zmlri.f zseri.f zunhj.f zunk1.f + diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/xerror.f julia-0.2.1~quantal7/deps/openspecfun/amos/xerror.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/xerror.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/xerror.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,22 @@ + SUBROUTINE XERROR(MESS,NMESS,L1,L2) +C +C THIS IS A DUMMY XERROR ROUTINE TO PRINT ERROR MESSAGES WITH NMESS +C CHARACTERS. L1 AND L2 ARE DUMMY PARAMETERS TO MAKE THIS CALL +C COMPATIBLE WITH THE SLATEC XERROR ROUTINE. THIS IS A FORTRAN 77 +C ROUTINE. +C + CHARACTER*(*) MESS + NN=NMESS/70 + NR=NMESS-70*NN + IF(NR.NE.0) NN=NN+1 + K=1 + PRINT 900 + 900 FORMAT(/) + DO 10 I=1,NN + KMIN=MIN0(K+69,NMESS) + PRINT *, MESS(K:KMIN) + K=K+70 + 10 CONTINUE + PRINT 900 + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zabs.f julia-0.2.1~quantal7/deps/openspecfun/amos/zabs.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zabs.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zabs.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,29 @@ + DOUBLE PRECISION FUNCTION ZABS(ZR, ZI) +C***BEGIN PROLOGUE ZABS +C***REFER TO ZBESH,ZBESI,ZBESJ,ZBESK,ZBESY,ZAIRY,ZBIRY +C +C ZABS COMPUTES THE ABSOLUTE VALUE OR MAGNITUDE OF A DOUBLE +C PRECISION COMPLEX VARIABLE CMPLX(ZR,ZI) +C +C***ROUTINES CALLED (NONE) +C***END PROLOGUE ZABS + DOUBLE PRECISION ZR, ZI, U, V, Q, S + U = DABS(ZR) + V = DABS(ZI) + S = U + V +C----------------------------------------------------------------------- +C S*1.0D0 MAKES AN UNNORMALIZED UNDERFLOW ON CDC MACHINES INTO A +C TRUE FLOATING ZERO +C----------------------------------------------------------------------- + S = S*1.0D+0 + IF (S.EQ.0.0D+0) GO TO 20 + IF (U.GT.V) GO TO 10 + Q = U/V + ZABS = V*DSQRT(1.D+0+Q*Q) + RETURN + 10 Q = V/U + ZABS = U*DSQRT(1.D+0+Q*Q) + RETURN + 20 ZABS = 0.0D+0 + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zacai.f julia-0.2.1~quantal7/deps/openspecfun/amos/zacai.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zacai.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zacai.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,99 @@ + SUBROUTINE ZACAI(ZR, ZI, FNU, KODE, MR, N, YR, YI, NZ, RL, TOL, + * ELIM, ALIM) +C***BEGIN PROLOGUE ZACAI +C***REFER TO ZAIRY +C +C ZACAI APPLIES THE ANALYTIC CONTINUATION FORMULA +C +C K(FNU,ZN*EXP(MP))=K(FNU,ZN)*EXP(-MP*FNU) - MP*I(FNU,ZN) +C MP=PI*MR*CMPLX(0.0,1.0) +C +C TO CONTINUE THE K FUNCTION FROM THE RIGHT HALF TO THE LEFT +C HALF Z PLANE FOR USE WITH ZAIRY WHERE FNU=1/3 OR 2/3 AND N=1. +C ZACAI IS THE SAME AS ZACON WITH THE PARTS FOR LARGER ORDERS AND +C RECURRENCE REMOVED. A RECURSIVE CALL TO ZACON CAN RESULT IF ZACON +C IS CALLED FROM ZAIRY. +C +C***ROUTINES CALLED ZASYI,ZBKNU,ZMLRI,ZSERI,ZS1S2,D1MACH,ZABS +C***END PROLOGUE ZACAI +C COMPLEX CSGN,CSPN,C1,C2,Y,Z,ZN,CY + DOUBLE PRECISION ALIM, ARG, ASCLE, AZ, CSGNR, CSGNI, CSPNR, + * CSPNI, C1R, C1I, C2R, C2I, CYR, CYI, DFNU, ELIM, FMR, FNU, PI, + * RL, SGN, TOL, YY, YR, YI, ZR, ZI, ZNR, ZNI, D1MACH, ZABS + INTEGER INU, IUF, KODE, MR, N, NN, NW, NZ + DIMENSION YR(N), YI(N), CYR(2), CYI(2) + DATA PI / 3.14159265358979324D0 / + NZ = 0 + ZNR = -ZR + ZNI = -ZI + AZ = ZABS(COMPLEX(ZR,ZI)) + NN = N + DFNU = FNU + DBLE(FLOAT(N-1)) + IF (AZ.LE.2.0D0) GO TO 10 + IF (AZ*AZ*0.25D0.GT.DFNU+1.0D0) GO TO 20 + 10 CONTINUE +C----------------------------------------------------------------------- +C POWER SERIES FOR THE I FUNCTION +C----------------------------------------------------------------------- + CALL ZSERI(ZNR, ZNI, FNU, KODE, NN, YR, YI, NW, TOL, ELIM, ALIM) + GO TO 40 + 20 CONTINUE + IF (AZ.LT.RL) GO TO 30 +C----------------------------------------------------------------------- +C ASYMPTOTIC EXPANSION FOR LARGE Z FOR THE I FUNCTION +C----------------------------------------------------------------------- + CALL ZASYI(ZNR, ZNI, FNU, KODE, NN, YR, YI, NW, RL, TOL, ELIM, + * ALIM) + IF (NW.LT.0) GO TO 80 + GO TO 40 + 30 CONTINUE +C----------------------------------------------------------------------- +C MILLER ALGORITHM NORMALIZED BY THE SERIES FOR THE I FUNCTION +C----------------------------------------------------------------------- + CALL ZMLRI(ZNR, ZNI, FNU, KODE, NN, YR, YI, NW, TOL) + IF(NW.LT.0) GO TO 80 + 40 CONTINUE +C----------------------------------------------------------------------- +C ANALYTIC CONTINUATION TO THE LEFT HALF PLANE FOR THE K FUNCTION +C----------------------------------------------------------------------- + CALL ZBKNU(ZNR, ZNI, FNU, KODE, 1, CYR, CYI, NW, TOL, ELIM, ALIM) + IF (NW.NE.0) GO TO 80 + FMR = DBLE(FLOAT(MR)) + SGN = -DSIGN(PI,FMR) + CSGNR = 0.0D0 + CSGNI = SGN + IF (KODE.EQ.1) GO TO 50 + YY = -ZNI + CSGNR = -CSGNI*DSIN(YY) + CSGNI = CSGNI*DCOS(YY) + 50 CONTINUE +C----------------------------------------------------------------------- +C CALCULATE CSPN=EXP(FNU*PI*I) TO MINIMIZE LOSSES OF SIGNIFICANCE +C WHEN FNU IS LARGE +C----------------------------------------------------------------------- + INU = INT(SNGL(FNU)) + ARG = (FNU-DBLE(FLOAT(INU)))*SGN + CSPNR = DCOS(ARG) + CSPNI = DSIN(ARG) + IF (MOD(INU,2).EQ.0) GO TO 60 + CSPNR = -CSPNR + CSPNI = -CSPNI + 60 CONTINUE + C1R = CYR(1) + C1I = CYI(1) + C2R = YR(1) + C2I = YI(1) + IF (KODE.EQ.1) GO TO 70 + IUF = 0 + ASCLE = 1.0D+3*D1MACH(1)/TOL + CALL ZS1S2(ZNR, ZNI, C1R, C1I, C2R, C2I, NW, ASCLE, ALIM, IUF) + NZ = NZ + NW + 70 CONTINUE + YR(1) = CSPNR*C1R - CSPNI*C1I + CSGNR*C2R - CSGNI*C2I + YI(1) = CSPNR*C1I + CSPNI*C1R + CSGNR*C2I + CSGNI*C2R + RETURN + 80 CONTINUE + NZ = -1 + IF(NW.EQ.(-2)) NZ=-2 + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zacon.f julia-0.2.1~quantal7/deps/openspecfun/amos/zacon.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zacon.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zacon.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,203 @@ + SUBROUTINE ZACON(ZR, ZI, FNU, KODE, MR, N, YR, YI, NZ, RL, FNUL, + * TOL, ELIM, ALIM) +C***BEGIN PROLOGUE ZACON +C***REFER TO ZBESK,ZBESH +C +C ZACON APPLIES THE ANALYTIC CONTINUATION FORMULA +C +C K(FNU,ZN*EXP(MP))=K(FNU,ZN)*EXP(-MP*FNU) - MP*I(FNU,ZN) +C MP=PI*MR*CMPLX(0.0,1.0) +C +C TO CONTINUE THE K FUNCTION FROM THE RIGHT HALF TO THE LEFT +C HALF Z PLANE +C +C***ROUTINES CALLED ZBINU,ZBKNU,ZS1S2,D1MACH,ZABS,ZMLT +C***END PROLOGUE ZACON +C COMPLEX CK,CONE,CSCL,CSCR,CSGN,CSPN,CY,CZERO,C1,C2,RZ,SC1,SC2,ST, +C *S1,S2,Y,Z,ZN + DOUBLE PRECISION ALIM, ARG, ASCLE, AS2, AZN, BRY, BSCLE, CKI, + * CKR, CONER, CPN, CSCL, CSCR, CSGNI, CSGNR, CSPNI, CSPNR, + * CSR, CSRR, CSSR, CYI, CYR, C1I, C1M, C1R, C2I, C2R, ELIM, FMR, + * FN, FNU, FNUL, PI, PTI, PTR, RAZN, RL, RZI, RZR, SC1I, SC1R, + * SC2I, SC2R, SGN, SPN, STI, STR, S1I, S1R, S2I, S2R, TOL, YI, YR, + * YY, ZEROR, ZI, ZNI, ZNR, ZR, D1MACH, ZABS + INTEGER I, INU, IUF, KFLAG, KODE, MR, N, NN, NW, NZ + DIMENSION YR(N), YI(N), CYR(2), CYI(2), CSSR(3), CSRR(3), BRY(3) + DATA PI / 3.14159265358979324D0 / + DATA ZEROR,CONER / 0.0D0,1.0D0 / + NZ = 0 + ZNR = -ZR + ZNI = -ZI + NN = N + CALL ZBINU(ZNR, ZNI, FNU, KODE, NN, YR, YI, NW, RL, FNUL, TOL, + * ELIM, ALIM) + IF (NW.LT.0) GO TO 90 +C----------------------------------------------------------------------- +C ANALYTIC CONTINUATION TO THE LEFT HALF PLANE FOR THE K FUNCTION +C----------------------------------------------------------------------- + NN = MIN0(2,N) + CALL ZBKNU(ZNR, ZNI, FNU, KODE, NN, CYR, CYI, NW, TOL, ELIM, ALIM) + IF (NW.NE.0) GO TO 90 + S1R = CYR(1) + S1I = CYI(1) + FMR = DBLE(FLOAT(MR)) + SGN = -DSIGN(PI,FMR) + CSGNR = ZEROR + CSGNI = SGN + IF (KODE.EQ.1) GO TO 10 + YY = -ZNI + CPN = DCOS(YY) + SPN = DSIN(YY) + CALL ZMLT(CSGNR, CSGNI, CPN, SPN, CSGNR, CSGNI) + 10 CONTINUE +C----------------------------------------------------------------------- +C CALCULATE CSPN=EXP(FNU*PI*I) TO MINIMIZE LOSSES OF SIGNIFICANCE +C WHEN FNU IS LARGE +C----------------------------------------------------------------------- + INU = INT(SNGL(FNU)) + ARG = (FNU-DBLE(FLOAT(INU)))*SGN + CPN = DCOS(ARG) + SPN = DSIN(ARG) + CSPNR = CPN + CSPNI = SPN + IF (MOD(INU,2).EQ.0) GO TO 20 + CSPNR = -CSPNR + CSPNI = -CSPNI + 20 CONTINUE + IUF = 0 + C1R = S1R + C1I = S1I + C2R = YR(1) + C2I = YI(1) + ASCLE = 1.0D+3*D1MACH(1)/TOL + IF (KODE.EQ.1) GO TO 30 + CALL ZS1S2(ZNR, ZNI, C1R, C1I, C2R, C2I, NW, ASCLE, ALIM, IUF) + NZ = NZ + NW + SC1R = C1R + SC1I = C1I + 30 CONTINUE + CALL ZMLT(CSPNR, CSPNI, C1R, C1I, STR, STI) + CALL ZMLT(CSGNR, CSGNI, C2R, C2I, PTR, PTI) + YR(1) = STR + PTR + YI(1) = STI + PTI + IF (N.EQ.1) RETURN + CSPNR = -CSPNR + CSPNI = -CSPNI + S2R = CYR(2) + S2I = CYI(2) + C1R = S2R + C1I = S2I + C2R = YR(2) + C2I = YI(2) + IF (KODE.EQ.1) GO TO 40 + CALL ZS1S2(ZNR, ZNI, C1R, C1I, C2R, C2I, NW, ASCLE, ALIM, IUF) + NZ = NZ + NW + SC2R = C1R + SC2I = C1I + 40 CONTINUE + CALL ZMLT(CSPNR, CSPNI, C1R, C1I, STR, STI) + CALL ZMLT(CSGNR, CSGNI, C2R, C2I, PTR, PTI) + YR(2) = STR + PTR + YI(2) = STI + PTI + IF (N.EQ.2) RETURN + CSPNR = -CSPNR + CSPNI = -CSPNI + AZN = ZABS(COMPLEX(ZNR,ZNI)) + RAZN = 1.0D0/AZN + STR = ZNR*RAZN + STI = -ZNI*RAZN + RZR = (STR+STR)*RAZN + RZI = (STI+STI)*RAZN + FN = FNU + 1.0D0 + CKR = FN*RZR + CKI = FN*RZI +C----------------------------------------------------------------------- +C SCALE NEAR EXPONENT EXTREMES DURING RECURRENCE ON K FUNCTIONS +C----------------------------------------------------------------------- + CSCL = 1.0D0/TOL + CSCR = TOL + CSSR(1) = CSCL + CSSR(2) = CONER + CSSR(3) = CSCR + CSRR(1) = CSCR + CSRR(2) = CONER + CSRR(3) = CSCL + BRY(1) = ASCLE + BRY(2) = 1.0D0/ASCLE + BRY(3) = D1MACH(2) + AS2 = ZABS(COMPLEX(S2R,S2I)) + KFLAG = 2 + IF (AS2.GT.BRY(1)) GO TO 50 + KFLAG = 1 + GO TO 60 + 50 CONTINUE + IF (AS2.LT.BRY(2)) GO TO 60 + KFLAG = 3 + 60 CONTINUE + BSCLE = BRY(KFLAG) + S1R = S1R*CSSR(KFLAG) + S1I = S1I*CSSR(KFLAG) + S2R = S2R*CSSR(KFLAG) + S2I = S2I*CSSR(KFLAG) + CSR = CSRR(KFLAG) + DO 80 I=3,N + STR = S2R + STI = S2I + S2R = CKR*STR - CKI*STI + S1R + S2I = CKR*STI + CKI*STR + S1I + S1R = STR + S1I = STI + C1R = S2R*CSR + C1I = S2I*CSR + STR = C1R + STI = C1I + C2R = YR(I) + C2I = YI(I) + IF (KODE.EQ.1) GO TO 70 + IF (IUF.LT.0) GO TO 70 + CALL ZS1S2(ZNR, ZNI, C1R, C1I, C2R, C2I, NW, ASCLE, ALIM, IUF) + NZ = NZ + NW + SC1R = SC2R + SC1I = SC2I + SC2R = C1R + SC2I = C1I + IF (IUF.NE.3) GO TO 70 + IUF = -4 + S1R = SC1R*CSSR(KFLAG) + S1I = SC1I*CSSR(KFLAG) + S2R = SC2R*CSSR(KFLAG) + S2I = SC2I*CSSR(KFLAG) + STR = SC2R + STI = SC2I + 70 CONTINUE + PTR = CSPNR*C1R - CSPNI*C1I + PTI = CSPNR*C1I + CSPNI*C1R + YR(I) = PTR + CSGNR*C2R - CSGNI*C2I + YI(I) = PTI + CSGNR*C2I + CSGNI*C2R + CKR = CKR + RZR + CKI = CKI + RZI + CSPNR = -CSPNR + CSPNI = -CSPNI + IF (KFLAG.GE.3) GO TO 80 + PTR = DABS(C1R) + PTI = DABS(C1I) + C1M = DMAX1(PTR,PTI) + IF (C1M.LE.BSCLE) GO TO 80 + KFLAG = KFLAG + 1 + BSCLE = BRY(KFLAG) + S1R = S1R*CSR + S1I = S1I*CSR + S2R = STR + S2I = STI + S1R = S1R*CSSR(KFLAG) + S1I = S1I*CSSR(KFLAG) + S2R = S2R*CSSR(KFLAG) + S2I = S2I*CSSR(KFLAG) + CSR = CSRR(KFLAG) + 80 CONTINUE + RETURN + 90 CONTINUE + NZ = -1 + IF(NW.EQ.(-2)) NZ=-2 + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zairy.f julia-0.2.1~quantal7/deps/openspecfun/amos/zairy.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zairy.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zairy.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,393 @@ + SUBROUTINE ZAIRY(ZR, ZI, ID, KODE, AIR, AII, NZ, IERR) +C***BEGIN PROLOGUE ZAIRY +C***DATE WRITTEN 830501 (YYMMDD) +C***REVISION DATE 890801 (YYMMDD) +C***CATEGORY NO. B5K +C***KEYWORDS AIRY FUNCTION,BESSEL FUNCTIONS OF ORDER ONE THIRD +C***AUTHOR AMOS, DONALD E., SANDIA NATIONAL LABORATORIES +C***PURPOSE TO COMPUTE AIRY FUNCTIONS AI(Z) AND DAI(Z) FOR COMPLEX Z +C***DESCRIPTION +C +C ***A DOUBLE PRECISION ROUTINE*** +C ON KODE=1, ZAIRY COMPUTES THE COMPLEX AIRY FUNCTION AI(Z) OR +C ITS DERIVATIVE DAI(Z)/DZ ON ID=0 OR ID=1 RESPECTIVELY. ON +C KODE=2, A SCALING OPTION CEXP(ZTA)*AI(Z) OR CEXP(ZTA)* +C DAI(Z)/DZ IS PROVIDED TO REMOVE THE EXPONENTIAL DECAY IN +C -PI/3.LT.ARG(Z).LT.PI/3 AND THE EXPONENTIAL GROWTH IN +C PI/3.LT.ABS(ARG(Z)).LT.PI WHERE ZTA=(2/3)*Z*CSQRT(Z). +C +C WHILE THE AIRY FUNCTIONS AI(Z) AND DAI(Z)/DZ ARE ANALYTIC IN +C THE WHOLE Z PLANE, THE CORRESPONDING SCALED FUNCTIONS DEFINED +C FOR KODE=2 HAVE A CUT ALONG THE NEGATIVE REAL AXIS. +C DEFINTIONS AND NOTATION ARE FOUND IN THE NBS HANDBOOK OF +C MATHEMATICAL FUNCTIONS (REF. 1). +C +C INPUT ZR,ZI ARE DOUBLE PRECISION +C ZR,ZI - Z=CMPLX(ZR,ZI) +C ID - ORDER OF DERIVATIVE, ID=0 OR ID=1 +C KODE - A PARAMETER TO INDICATE THE SCALING OPTION +C KODE= 1 RETURNS +C AI=AI(Z) ON ID=0 OR +C AI=DAI(Z)/DZ ON ID=1 +C = 2 RETURNS +C AI=CEXP(ZTA)*AI(Z) ON ID=0 OR +C AI=CEXP(ZTA)*DAI(Z)/DZ ON ID=1 WHERE +C ZTA=(2/3)*Z*CSQRT(Z) +C +C OUTPUT AIR,AII ARE DOUBLE PRECISION +C AIR,AII- COMPLEX ANSWER DEPENDING ON THE CHOICES FOR ID AND +C KODE +C NZ - UNDERFLOW INDICATOR +C NZ= 0 , NORMAL RETURN +C NZ= 1 , AI=CMPLX(0.0D0,0.0D0) DUE TO UNDERFLOW IN +C -PI/3.LT.ARG(Z).LT.PI/3 ON KODE=1 +C IERR - ERROR FLAG +C IERR=0, NORMAL RETURN - COMPUTATION COMPLETED +C IERR=1, INPUT ERROR - NO COMPUTATION +C IERR=2, OVERFLOW - NO COMPUTATION, REAL(ZTA) +C TOO LARGE ON KODE=1 +C IERR=3, CABS(Z) LARGE - COMPUTATION COMPLETED +C LOSSES OF SIGNIFCANCE BY ARGUMENT REDUCTION +C PRODUCE LESS THAN HALF OF MACHINE ACCURACY +C IERR=4, CABS(Z) TOO LARGE - NO COMPUTATION +C COMPLETE LOSS OF ACCURACY BY ARGUMENT +C REDUCTION +C IERR=5, ERROR - NO COMPUTATION, +C ALGORITHM TERMINATION CONDITION NOT MET +C +C***LONG DESCRIPTION +C +C AI AND DAI ARE COMPUTED FOR CABS(Z).GT.1.0 FROM THE K BESSEL +C FUNCTIONS BY +C +C AI(Z)=C*SQRT(Z)*K(1/3,ZTA) , DAI(Z)=-C*Z*K(2/3,ZTA) +C C=1.0/(PI*SQRT(3.0)) +C ZTA=(2/3)*Z**(3/2) +C +C WITH THE POWER SERIES FOR CABS(Z).LE.1.0. +C +C IN MOST COMPLEX VARIABLE COMPUTATION, ONE MUST EVALUATE ELE- +C MENTARY FUNCTIONS. WHEN THE MAGNITUDE OF Z IS LARGE, LOSSES +C OF SIGNIFICANCE BY ARGUMENT REDUCTION OCCUR. CONSEQUENTLY, IF +C THE MAGNITUDE OF ZETA=(2/3)*Z**1.5 EXCEEDS U1=SQRT(0.5/UR), +C THEN LOSSES EXCEEDING HALF PRECISION ARE LIKELY AND AN ERROR +C FLAG IERR=3 IS TRIGGERED WHERE UR=DMAX1(D1MACH(4),1.0D-18) IS +C DOUBLE PRECISION UNIT ROUNDOFF LIMITED TO 18 DIGITS PRECISION. +C ALSO, IF THE MAGNITUDE OF ZETA IS LARGER THAN U2=0.5/UR, THEN +C ALL SIGNIFICANCE IS LOST AND IERR=4. IN ORDER TO USE THE INT +C FUNCTION, ZETA MUST BE FURTHER RESTRICTED NOT TO EXCEED THE +C LARGEST INTEGER, U3=I1MACH(9). THUS, THE MAGNITUDE OF ZETA +C MUST BE RESTRICTED BY MIN(U2,U3). ON 32 BIT MACHINES, U1,U2, +C AND U3 ARE APPROXIMATELY 2.0E+3, 4.2E+6, 2.1E+9 IN SINGLE +C PRECISION ARITHMETIC AND 1.3E+8, 1.8E+16, 2.1E+9 IN DOUBLE +C PRECISION ARITHMETIC RESPECTIVELY. THIS MAKES U2 AND U3 LIMIT- +C ING IN THEIR RESPECTIVE ARITHMETICS. THIS MEANS THAT THE MAG- +C NITUDE OF Z CANNOT EXCEED 3.1E+4 IN SINGLE AND 2.1E+6 IN +C DOUBLE PRECISION ARITHMETIC. THIS ALSO MEANS THAT ONE CAN +C EXPECT TO RETAIN, IN THE WORST CASES ON 32 BIT MACHINES, +C NO DIGITS IN SINGLE PRECISION AND ONLY 7 DIGITS IN DOUBLE +C PRECISION ARITHMETIC. SIMILAR CONSIDERATIONS HOLD FOR OTHER +C MACHINES. +C +C THE APPROXIMATE RELATIVE ERROR IN THE MAGNITUDE OF A COMPLEX +C BESSEL FUNCTION CAN BE EXPRESSED BY P*10**S WHERE P=MAX(UNIT +C ROUNDOFF,1.0E-18) IS THE NOMINAL PRECISION AND 10**S REPRE- +C SENTS THE INCREASE IN ERROR DUE TO ARGUMENT REDUCTION IN THE +C ELEMENTARY FUNCTIONS. HERE, S=MAX(1,ABS(LOG10(CABS(Z))), +C ABS(LOG10(FNU))) APPROXIMATELY (I.E. S=MAX(1,ABS(EXPONENT OF +C CABS(Z),ABS(EXPONENT OF FNU)) ). HOWEVER, THE PHASE ANGLE MAY +C HAVE ONLY ABSOLUTE ACCURACY. THIS IS MOST LIKELY TO OCCUR WHEN +C ONE COMPONENT (IN ABSOLUTE VALUE) IS LARGER THAN THE OTHER BY +C SEVERAL ORDERS OF MAGNITUDE. IF ONE COMPONENT IS 10**K LARGER +C THAN THE OTHER, THEN ONE CAN EXPECT ONLY MAX(ABS(LOG10(P))-K, +C 0) SIGNIFICANT DIGITS; OR, STATED ANOTHER WAY, WHEN K EXCEEDS +C THE EXPONENT OF P, NO SIGNIFICANT DIGITS REMAIN IN THE SMALLER +C COMPONENT. HOWEVER, THE PHASE ANGLE RETAINS ABSOLUTE ACCURACY +C BECAUSE, IN COMPLEX ARITHMETIC WITH PRECISION P, THE SMALLER +C COMPONENT WILL NOT (AS A RULE) DECREASE BELOW P TIMES THE +C MAGNITUDE OF THE LARGER COMPONENT. IN THESE EXTREME CASES, +C THE PRINCIPAL PHASE ANGLE IS ON THE ORDER OF +P, -P, PI/2-P, +C OR -PI/2+P. +C +C***REFERENCES HANDBOOK OF MATHEMATICAL FUNCTIONS BY M. ABRAMOWITZ +C AND I. A. STEGUN, NBS AMS SERIES 55, U.S. DEPT. OF +C COMMERCE, 1955. +C +C COMPUTATION OF BESSEL FUNCTIONS OF COMPLEX ARGUMENT +C AND LARGE ORDER BY D. E. AMOS, SAND83-0643, MAY, 1983 +C +C A SUBROUTINE PACKAGE FOR BESSEL FUNCTIONS OF A COMPLEX +C ARGUMENT AND NONNEGATIVE ORDER BY D. E. AMOS, SAND85- +C 1018, MAY, 1985 +C +C A PORTABLE PACKAGE FOR BESSEL FUNCTIONS OF A COMPLEX +C ARGUMENT AND NONNEGATIVE ORDER BY D. E. AMOS, TRANS. +C MATH. SOFTWARE, 1986 +C +C***ROUTINES CALLED ZACAI,ZBKNU,ZEXP,ZSQRT,I1MACH,D1MACH +C***END PROLOGUE ZAIRY +C COMPLEX AI,CONE,CSQ,CY,S1,S2,TRM1,TRM2,Z,ZTA,Z3 + DOUBLE PRECISION AA, AD, AII, AIR, AK, ALIM, ATRM, AZ, AZ3, BK, + * CC, CK, COEF, CONEI, CONER, CSQI, CSQR, CYI, CYR, C1, C2, DIG, + * DK, D1, D2, ELIM, FID, FNU, PTR, RL, R1M5, SFAC, STI, STR, + * S1I, S1R, S2I, S2R, TOL, TRM1I, TRM1R, TRM2I, TRM2R, TTH, ZEROI, + * ZEROR, ZI, ZR, ZTAI, ZTAR, Z3I, Z3R, D1MACH, ZABS, ALAZ, BB + INTEGER ID, IERR, IFLAG, K, KODE, K1, K2, MR, NN, NZ, I1MACH + DIMENSION CYR(1), CYI(1) + DATA TTH, C1, C2, COEF /6.66666666666666667D-01, + * 3.55028053887817240D-01,2.58819403792806799D-01, + * 1.83776298473930683D-01/ + DATA ZEROR, ZEROI, CONER, CONEI /0.0D0,0.0D0,1.0D0,0.0D0/ +C***FIRST EXECUTABLE STATEMENT ZAIRY + IERR = 0 + NZ=0 + IF (ID.LT.0 .OR. ID.GT.1) IERR=1 + IF (KODE.LT.1 .OR. KODE.GT.2) IERR=1 + IF (IERR.NE.0) RETURN + AZ = ZABS(COMPLEX(ZR,ZI)) + TOL = DMAX1(D1MACH(4),1.0D-18) + FID = DBLE(FLOAT(ID)) + IF (AZ.GT.1.0D0) GO TO 70 +C----------------------------------------------------------------------- +C POWER SERIES FOR CABS(Z).LE.1. +C----------------------------------------------------------------------- + S1R = CONER + S1I = CONEI + S2R = CONER + S2I = CONEI + IF (AZ.LT.TOL) GO TO 170 + AA = AZ*AZ + IF (AA.LT.TOL/AZ) GO TO 40 + TRM1R = CONER + TRM1I = CONEI + TRM2R = CONER + TRM2I = CONEI + ATRM = 1.0D0 + STR = ZR*ZR - ZI*ZI + STI = ZR*ZI + ZI*ZR + Z3R = STR*ZR - STI*ZI + Z3I = STR*ZI + STI*ZR + AZ3 = AZ*AA + AK = 2.0D0 + FID + BK = 3.0D0 - FID - FID + CK = 4.0D0 - FID + DK = 3.0D0 + FID + FID + D1 = AK*DK + D2 = BK*CK + AD = DMIN1(D1,D2) + AK = 24.0D0 + 9.0D0*FID + BK = 30.0D0 - 9.0D0*FID + DO 30 K=1,25 + STR = (TRM1R*Z3R-TRM1I*Z3I)/D1 + TRM1I = (TRM1R*Z3I+TRM1I*Z3R)/D1 + TRM1R = STR + S1R = S1R + TRM1R + S1I = S1I + TRM1I + STR = (TRM2R*Z3R-TRM2I*Z3I)/D2 + TRM2I = (TRM2R*Z3I+TRM2I*Z3R)/D2 + TRM2R = STR + S2R = S2R + TRM2R + S2I = S2I + TRM2I + ATRM = ATRM*AZ3/AD + D1 = D1 + AK + D2 = D2 + BK + AD = DMIN1(D1,D2) + IF (ATRM.LT.TOL*AD) GO TO 40 + AK = AK + 18.0D0 + BK = BK + 18.0D0 + 30 CONTINUE + 40 CONTINUE + IF (ID.EQ.1) GO TO 50 + AIR = S1R*C1 - C2*(ZR*S2R-ZI*S2I) + AII = S1I*C1 - C2*(ZR*S2I+ZI*S2R) + IF (KODE.EQ.1) RETURN + CALL ZSQRT(ZR, ZI, STR, STI) + ZTAR = TTH*(ZR*STR-ZI*STI) + ZTAI = TTH*(ZR*STI+ZI*STR) + CALL ZEXP(ZTAR, ZTAI, STR, STI) + PTR = AIR*STR - AII*STI + AII = AIR*STI + AII*STR + AIR = PTR + RETURN + 50 CONTINUE + AIR = -S2R*C2 + AII = -S2I*C2 + IF (AZ.LE.TOL) GO TO 60 + STR = ZR*S1R - ZI*S1I + STI = ZR*S1I + ZI*S1R + CC = C1/(1.0D0+FID) + AIR = AIR + CC*(STR*ZR-STI*ZI) + AII = AII + CC*(STR*ZI+STI*ZR) + 60 CONTINUE + IF (KODE.EQ.1) RETURN + CALL ZSQRT(ZR, ZI, STR, STI) + ZTAR = TTH*(ZR*STR-ZI*STI) + ZTAI = TTH*(ZR*STI+ZI*STR) + CALL ZEXP(ZTAR, ZTAI, STR, STI) + PTR = STR*AIR - STI*AII + AII = STR*AII + STI*AIR + AIR = PTR + RETURN +C----------------------------------------------------------------------- +C CASE FOR CABS(Z).GT.1.0 +C----------------------------------------------------------------------- + 70 CONTINUE + FNU = (1.0D0+FID)/3.0D0 +C----------------------------------------------------------------------- +C SET PARAMETERS RELATED TO MACHINE CONSTANTS. +C TOL IS THE APPROXIMATE UNIT ROUNDOFF LIMITED TO 1.0D-18. +C ELIM IS THE APPROXIMATE EXPONENTIAL OVER- AND UNDERFLOW LIMIT. +C EXP(-ELIM).LT.EXP(-ALIM)=EXP(-ELIM)/TOL AND +C EXP(ELIM).GT.EXP(ALIM)=EXP(ELIM)*TOL ARE INTERVALS NEAR +C UNDERFLOW AND OVERFLOW LIMITS WHERE SCALED ARITHMETIC IS DONE. +C RL IS THE LOWER BOUNDARY OF THE ASYMPTOTIC EXPANSION FOR LARGE Z. +C DIG = NUMBER OF BASE 10 DIGITS IN TOL = 10**(-DIG). +C----------------------------------------------------------------------- + K1 = I1MACH(15) + K2 = I1MACH(16) + R1M5 = D1MACH(5) + K = MIN0(IABS(K1),IABS(K2)) + ELIM = 2.303D0*(DBLE(FLOAT(K))*R1M5-3.0D0) + K1 = I1MACH(14) - 1 + AA = R1M5*DBLE(FLOAT(K1)) + DIG = DMIN1(AA,18.0D0) + AA = AA*2.303D0 + ALIM = ELIM + DMAX1(-AA,-41.45D0) + RL = 1.2D0*DIG + 3.0D0 + ALAZ = DLOG(AZ) +C-------------------------------------------------------------------------- +C TEST FOR PROPER RANGE +C----------------------------------------------------------------------- + AA=0.5D0/TOL + BB=DBLE(FLOAT(I1MACH(9)))*0.5D0 + AA=DMIN1(AA,BB) + AA=AA**TTH + IF (AZ.GT.AA) GO TO 260 + AA=DSQRT(AA) + IF (AZ.GT.AA) IERR=3 + CALL ZSQRT(ZR, ZI, CSQR, CSQI) + ZTAR = TTH*(ZR*CSQR-ZI*CSQI) + ZTAI = TTH*(ZR*CSQI+ZI*CSQR) +C----------------------------------------------------------------------- +C RE(ZTA).LE.0 WHEN RE(Z).LT.0, ESPECIALLY WHEN IM(Z) IS SMALL +C----------------------------------------------------------------------- + IFLAG = 0 + SFAC = 1.0D0 + AK = ZTAI + IF (ZR.GE.0.0D0) GO TO 80 + BK = ZTAR + CK = -DABS(BK) + ZTAR = CK + ZTAI = AK + 80 CONTINUE + IF (ZI.NE.0.0D0) GO TO 90 + IF (ZR.GT.0.0D0) GO TO 90 + ZTAR = 0.0D0 + ZTAI = AK + 90 CONTINUE + AA = ZTAR + IF (AA.GE.0.0D0 .AND. ZR.GT.0.0D0) GO TO 110 + IF (KODE.EQ.2) GO TO 100 +C----------------------------------------------------------------------- +C OVERFLOW TEST +C----------------------------------------------------------------------- + IF (AA.GT.(-ALIM)) GO TO 100 + AA = -AA + 0.25D0*ALAZ + IFLAG = 1 + SFAC = TOL + IF (AA.GT.ELIM) GO TO 270 + 100 CONTINUE +C----------------------------------------------------------------------- +C CBKNU AND CACON RETURN EXP(ZTA)*K(FNU,ZTA) ON KODE=2 +C----------------------------------------------------------------------- + MR = 1 + IF (ZI.LT.0.0D0) MR = -1 + CALL ZACAI(ZTAR, ZTAI, FNU, KODE, MR, 1, CYR, CYI, NN, RL, TOL, + * ELIM, ALIM) + IF (NN.LT.0) GO TO 280 + NZ = NZ + NN + GO TO 130 + 110 CONTINUE + IF (KODE.EQ.2) GO TO 120 +C----------------------------------------------------------------------- +C UNDERFLOW TEST +C----------------------------------------------------------------------- + IF (AA.LT.ALIM) GO TO 120 + AA = -AA - 0.25D0*ALAZ + IFLAG = 2 + SFAC = 1.0D0/TOL + IF (AA.LT.(-ELIM)) GO TO 210 + 120 CONTINUE + CALL ZBKNU(ZTAR, ZTAI, FNU, KODE, 1, CYR, CYI, NZ, TOL, ELIM, + * ALIM) + 130 CONTINUE + S1R = CYR(1)*COEF + S1I = CYI(1)*COEF + IF (IFLAG.NE.0) GO TO 150 + IF (ID.EQ.1) GO TO 140 + AIR = CSQR*S1R - CSQI*S1I + AII = CSQR*S1I + CSQI*S1R + RETURN + 140 CONTINUE + AIR = -(ZR*S1R-ZI*S1I) + AII = -(ZR*S1I+ZI*S1R) + RETURN + 150 CONTINUE + S1R = S1R*SFAC + S1I = S1I*SFAC + IF (ID.EQ.1) GO TO 160 + STR = S1R*CSQR - S1I*CSQI + S1I = S1R*CSQI + S1I*CSQR + S1R = STR + AIR = S1R/SFAC + AII = S1I/SFAC + RETURN + 160 CONTINUE + STR = -(S1R*ZR-S1I*ZI) + S1I = -(S1R*ZI+S1I*ZR) + S1R = STR + AIR = S1R/SFAC + AII = S1I/SFAC + RETURN + 170 CONTINUE + AA = 1.0D+3*D1MACH(1) + S1R = ZEROR + S1I = ZEROI + IF (ID.EQ.1) GO TO 190 + IF (AZ.LE.AA) GO TO 180 + S1R = C2*ZR + S1I = C2*ZI + 180 CONTINUE + AIR = C1 - S1R + AII = -S1I + RETURN + 190 CONTINUE + AIR = -C2 + AII = 0.0D0 + AA = DSQRT(AA) + IF (AZ.LE.AA) GO TO 200 + S1R = 0.5D0*(ZR*ZR-ZI*ZI) + S1I = ZR*ZI + 200 CONTINUE + AIR = AIR + C1*S1R + AII = AII + C1*S1I + RETURN + 210 CONTINUE + NZ = 1 + AIR = ZEROR + AII = ZEROI + RETURN + 270 CONTINUE + NZ = 0 + IERR=2 + RETURN + 280 CONTINUE + IF(NN.EQ.(-1)) GO TO 270 + NZ=0 + IERR=5 + RETURN + 260 CONTINUE + IERR=4 + NZ=0 + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zasyi.f julia-0.2.1~quantal7/deps/openspecfun/amos/zasyi.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zasyi.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zasyi.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,165 @@ + SUBROUTINE ZASYI(ZR, ZI, FNU, KODE, N, YR, YI, NZ, RL, TOL, ELIM, + * ALIM) +C***BEGIN PROLOGUE ZASYI +C***REFER TO ZBESI,ZBESK +C +C ZASYI COMPUTES THE I BESSEL FUNCTION FOR REAL(Z).GE.0.0 BY +C MEANS OF THE ASYMPTOTIC EXPANSION FOR LARGE CABS(Z) IN THE +C REGION CABS(Z).GT.MAX(RL,FNU*FNU/2). NZ=0 IS A NORMAL RETURN. +C NZ.LT.0 INDICATES AN OVERFLOW ON KODE=1. +C +C***ROUTINES CALLED D1MACH,ZABS,ZDIV,ZEXP,ZMLT,ZSQRT +C***END PROLOGUE ZASYI +C COMPLEX AK1,CK,CONE,CS1,CS2,CZ,CZERO,DK,EZ,P1,RZ,S2,Y,Z + DOUBLE PRECISION AA, AEZ, AK, AK1I, AK1R, ALIM, ARG, ARM, ATOL, + * AZ, BB, BK, CKI, CKR, CONEI, CONER, CS1I, CS1R, CS2I, CS2R, CZI, + * CZR, DFNU, DKI, DKR, DNU2, ELIM, EZI, EZR, FDN, FNU, PI, P1I, + * P1R, RAZ, RL, RTPI, RTR1, RZI, RZR, S, SGN, SQK, STI, STR, S2I, + * S2R, TOL, TZI, TZR, YI, YR, ZEROI, ZEROR, ZI, ZR, D1MACH, ZABS + INTEGER I, IB, IL, INU, J, JL, K, KODE, KODED, M, N, NN, NZ + DIMENSION YR(N), YI(N) + DATA PI, RTPI /3.14159265358979324D0 , 0.159154943091895336D0 / + DATA ZEROR,ZEROI,CONER,CONEI / 0.0D0, 0.0D0, 1.0D0, 0.0D0 / +C + NZ = 0 + AZ = ZABS(COMPLEX(ZR,ZI)) + ARM = 1.0D+3*D1MACH(1) + RTR1 = DSQRT(ARM) + IL = MIN0(2,N) + DFNU = FNU + DBLE(FLOAT(N-IL)) +C----------------------------------------------------------------------- +C OVERFLOW TEST +C----------------------------------------------------------------------- + RAZ = 1.0D0/AZ + STR = ZR*RAZ + STI = -ZI*RAZ + AK1R = RTPI*STR*RAZ + AK1I = RTPI*STI*RAZ + CALL ZSQRT(AK1R, AK1I, AK1R, AK1I) + CZR = ZR + CZI = ZI + IF (KODE.NE.2) GO TO 10 + CZR = ZEROR + CZI = ZI + 10 CONTINUE + IF (DABS(CZR).GT.ELIM) GO TO 100 + DNU2 = DFNU + DFNU + KODED = 1 + IF ((DABS(CZR).GT.ALIM) .AND. (N.GT.2)) GO TO 20 + KODED = 0 + CALL ZEXP(CZR, CZI, STR, STI) + CALL ZMLT(AK1R, AK1I, STR, STI, AK1R, AK1I) + 20 CONTINUE + FDN = 0.0D0 + IF (DNU2.GT.RTR1) FDN = DNU2*DNU2 + EZR = ZR*8.0D0 + EZI = ZI*8.0D0 +C----------------------------------------------------------------------- +C WHEN Z IS IMAGINARY, THE ERROR TEST MUST BE MADE RELATIVE TO THE +C FIRST RECIPROCAL POWER SINCE THIS IS THE LEADING TERM OF THE +C EXPANSION FOR THE IMAGINARY PART. +C----------------------------------------------------------------------- + AEZ = 8.0D0*AZ + S = TOL/AEZ + JL = INT(SNGL(RL+RL)) + 2 + P1R = ZEROR + P1I = ZEROI + IF (ZI.EQ.0.0D0) GO TO 30 +C----------------------------------------------------------------------- +C CALCULATE EXP(PI*(0.5+FNU+N-IL)*I) TO MINIMIZE LOSSES OF +C SIGNIFICANCE WHEN FNU OR N IS LARGE +C----------------------------------------------------------------------- + INU = INT(SNGL(FNU)) + ARG = (FNU-DBLE(FLOAT(INU)))*PI + INU = INU + N - IL + AK = -DSIN(ARG) + BK = DCOS(ARG) + IF (ZI.LT.0.0D0) BK = -BK + P1R = AK + P1I = BK + IF (MOD(INU,2).EQ.0) GO TO 30 + P1R = -P1R + P1I = -P1I + 30 CONTINUE + DO 70 K=1,IL + SQK = FDN - 1.0D0 + ATOL = S*DABS(SQK) + SGN = 1.0D0 + CS1R = CONER + CS1I = CONEI + CS2R = CONER + CS2I = CONEI + CKR = CONER + CKI = CONEI + AK = 0.0D0 + AA = 1.0D0 + BB = AEZ + DKR = EZR + DKI = EZI + DO 40 J=1,JL + CALL ZDIV(CKR, CKI, DKR, DKI, STR, STI) + CKR = STR*SQK + CKI = STI*SQK + CS2R = CS2R + CKR + CS2I = CS2I + CKI + SGN = -SGN + CS1R = CS1R + CKR*SGN + CS1I = CS1I + CKI*SGN + DKR = DKR + EZR + DKI = DKI + EZI + AA = AA*DABS(SQK)/BB + BB = BB + AEZ + AK = AK + 8.0D0 + SQK = SQK - AK + IF (AA.LE.ATOL) GO TO 50 + 40 CONTINUE + GO TO 110 + 50 CONTINUE + S2R = CS1R + S2I = CS1I + IF (ZR+ZR.GE.ELIM) GO TO 60 + TZR = ZR + ZR + TZI = ZI + ZI + CALL ZEXP(-TZR, -TZI, STR, STI) + CALL ZMLT(STR, STI, P1R, P1I, STR, STI) + CALL ZMLT(STR, STI, CS2R, CS2I, STR, STI) + S2R = S2R + STR + S2I = S2I + STI + 60 CONTINUE + FDN = FDN + 8.0D0*DFNU + 4.0D0 + P1R = -P1R + P1I = -P1I + M = N - IL + K + YR(M) = S2R*AK1R - S2I*AK1I + YI(M) = S2R*AK1I + S2I*AK1R + 70 CONTINUE + IF (N.LE.2) RETURN + NN = N + K = NN - 2 + AK = DBLE(FLOAT(K)) + STR = ZR*RAZ + STI = -ZI*RAZ + RZR = (STR+STR)*RAZ + RZI = (STI+STI)*RAZ + IB = 3 + DO 80 I=IB,NN + YR(K) = (AK+FNU)*(RZR*YR(K+1)-RZI*YI(K+1)) + YR(K+2) + YI(K) = (AK+FNU)*(RZR*YI(K+1)+RZI*YR(K+1)) + YI(K+2) + AK = AK - 1.0D0 + K = K - 1 + 80 CONTINUE + IF (KODED.EQ.0) RETURN + CALL ZEXP(CZR, CZI, CKR, CKI) + DO 90 I=1,NN + STR = YR(I)*CKR - YI(I)*CKI + YI(I) = YR(I)*CKI + YI(I)*CKR + YR(I) = STR + 90 CONTINUE + RETURN + 100 CONTINUE + NZ = -1 + RETURN + 110 CONTINUE + NZ=-2 + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zbesh.f julia-0.2.1~quantal7/deps/openspecfun/amos/zbesh.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zbesh.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zbesh.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,348 @@ + SUBROUTINE ZBESH(ZR, ZI, FNU, KODE, M, N, CYR, CYI, NZ, IERR) +C***BEGIN PROLOGUE ZBESH +C***DATE WRITTEN 830501 (YYMMDD) +C***REVISION DATE 890801 (YYMMDD) +C***CATEGORY NO. B5K +C***KEYWORDS H-BESSEL FUNCTIONS,BESSEL FUNCTIONS OF COMPLEX ARGUMENT, +C BESSEL FUNCTIONS OF THIRD KIND,HANKEL FUNCTIONS +C***AUTHOR AMOS, DONALD E., SANDIA NATIONAL LABORATORIES +C***PURPOSE TO COMPUTE THE H-BESSEL FUNCTIONS OF A COMPLEX ARGUMENT +C***DESCRIPTION +C +C ***A DOUBLE PRECISION ROUTINE*** +C ON KODE=1, ZBESH COMPUTES AN N MEMBER SEQUENCE OF COMPLEX +C HANKEL (BESSEL) FUNCTIONS CY(J)=H(M,FNU+J-1,Z) FOR KINDS M=1 +C OR 2, REAL, NONNEGATIVE ORDERS FNU+J-1, J=1,...,N, AND COMPLEX +C Z.NE.CMPLX(0.0,0.0) IN THE CUT PLANE -PI.LT.ARG(Z).LE.PI. +C ON KODE=2, ZBESH RETURNS THE SCALED HANKEL FUNCTIONS +C +C CY(I)=EXP(-MM*Z*I)*H(M,FNU+J-1,Z) MM=3-2*M, I**2=-1. +C +C WHICH REMOVES THE EXPONENTIAL BEHAVIOR IN BOTH THE UPPER AND +C LOWER HALF PLANES. DEFINITIONS AND NOTATION ARE FOUND IN THE +C NBS HANDBOOK OF MATHEMATICAL FUNCTIONS (REF. 1). +C +C INPUT ZR,ZI,FNU ARE DOUBLE PRECISION +C ZR,ZI - Z=CMPLX(ZR,ZI), Z.NE.CMPLX(0.0D0,0.0D0), +C -PT.LT.ARG(Z).LE.PI +C FNU - ORDER OF INITIAL H FUNCTION, FNU.GE.0.0D0 +C KODE - A PARAMETER TO INDICATE THE SCALING OPTION +C KODE= 1 RETURNS +C CY(J)=H(M,FNU+J-1,Z), J=1,...,N +C = 2 RETURNS +C CY(J)=H(M,FNU+J-1,Z)*EXP(-I*Z*(3-2M)) +C J=1,...,N , I**2=-1 +C M - KIND OF HANKEL FUNCTION, M=1 OR 2 +C N - NUMBER OF MEMBERS IN THE SEQUENCE, N.GE.1 +C +C OUTPUT CYR,CYI ARE DOUBLE PRECISION +C CYR,CYI- DOUBLE PRECISION VECTORS WHOSE FIRST N COMPONENTS +C CONTAIN REAL AND IMAGINARY PARTS FOR THE SEQUENCE +C CY(J)=H(M,FNU+J-1,Z) OR +C CY(J)=H(M,FNU+J-1,Z)*EXP(-I*Z*(3-2M)) J=1,...,N +C DEPENDING ON KODE, I**2=-1. +C NZ - NUMBER OF COMPONENTS SET TO ZERO DUE TO UNDERFLOW, +C NZ= 0 , NORMAL RETURN +C NZ.GT.0 , FIRST NZ COMPONENTS OF CY SET TO ZERO DUE +C TO UNDERFLOW, CY(J)=CMPLX(0.0D0,0.0D0) +C J=1,...,NZ WHEN Y.GT.0.0 AND M=1 OR +C Y.LT.0.0 AND M=2. FOR THE COMPLMENTARY +C HALF PLANES, NZ STATES ONLY THE NUMBER +C OF UNDERFLOWS. +C IERR - ERROR FLAG +C IERR=0, NORMAL RETURN - COMPUTATION COMPLETED +C IERR=1, INPUT ERROR - NO COMPUTATION +C IERR=2, OVERFLOW - NO COMPUTATION, FNU TOO +C LARGE OR CABS(Z) TOO SMALL OR BOTH +C IERR=3, CABS(Z) OR FNU+N-1 LARGE - COMPUTATION DONE +C BUT LOSSES OF SIGNIFCANCE BY ARGUMENT +C REDUCTION PRODUCE LESS THAN HALF OF MACHINE +C ACCURACY +C IERR=4, CABS(Z) OR FNU+N-1 TOO LARGE - NO COMPUTA- +C TION BECAUSE OF COMPLETE LOSSES OF SIGNIFI- +C CANCE BY ARGUMENT REDUCTION +C IERR=5, ERROR - NO COMPUTATION, +C ALGORITHM TERMINATION CONDITION NOT MET +C +C***LONG DESCRIPTION +C +C THE COMPUTATION IS CARRIED OUT BY THE RELATION +C +C H(M,FNU,Z)=(1/MP)*EXP(-MP*FNU)*K(FNU,Z*EXP(-MP)) +C MP=MM*HPI*I, MM=3-2*M, HPI=PI/2, I**2=-1 +C +C FOR M=1 OR 2 WHERE THE K BESSEL FUNCTION IS COMPUTED FOR THE +C RIGHT HALF PLANE RE(Z).GE.0.0. THE K FUNCTION IS CONTINUED +C TO THE LEFT HALF PLANE BY THE RELATION +C +C K(FNU,Z*EXP(MP)) = EXP(-MP*FNU)*K(FNU,Z)-MP*I(FNU,Z) +C MP=MR*PI*I, MR=+1 OR -1, RE(Z).GT.0, I**2=-1 +C +C WHERE I(FNU,Z) IS THE I BESSEL FUNCTION. +C +C EXPONENTIAL DECAY OF H(M,FNU,Z) OCCURS IN THE UPPER HALF Z +C PLANE FOR M=1 AND THE LOWER HALF Z PLANE FOR M=2. EXPONENTIAL +C GROWTH OCCURS IN THE COMPLEMENTARY HALF PLANES. SCALING +C BY EXP(-MM*Z*I) REMOVES THE EXPONENTIAL BEHAVIOR IN THE +C WHOLE Z PLANE FOR Z TO INFINITY. +C +C FOR NEGATIVE ORDERS,THE FORMULAE +C +C H(1,-FNU,Z) = H(1,FNU,Z)*CEXP( PI*FNU*I) +C H(2,-FNU,Z) = H(2,FNU,Z)*CEXP(-PI*FNU*I) +C I**2=-1 +C +C CAN BE USED. +C +C IN MOST COMPLEX VARIABLE COMPUTATION, ONE MUST EVALUATE ELE- +C MENTARY FUNCTIONS. WHEN THE MAGNITUDE OF Z OR FNU+N-1 IS +C LARGE, LOSSES OF SIGNIFICANCE BY ARGUMENT REDUCTION OCCUR. +C CONSEQUENTLY, IF EITHER ONE EXCEEDS U1=SQRT(0.5/UR), THEN +C LOSSES EXCEEDING HALF PRECISION ARE LIKELY AND AN ERROR FLAG +C IERR=3 IS TRIGGERED WHERE UR=DMAX1(D1MACH(4),1.0D-18) IS +C DOUBLE PRECISION UNIT ROUNDOFF LIMITED TO 18 DIGITS PRECISION. +C IF EITHER IS LARGER THAN U2=0.5/UR, THEN ALL SIGNIFICANCE IS +C LOST AND IERR=4. IN ORDER TO USE THE INT FUNCTION, ARGUMENTS +C MUST BE FURTHER RESTRICTED NOT TO EXCEED THE LARGEST MACHINE +C INTEGER, U3=I1MACH(9). THUS, THE MAGNITUDE OF Z AND FNU+N-1 IS +C RESTRICTED BY MIN(U2,U3). ON 32 BIT MACHINES, U1,U2, AND U3 +C ARE APPROXIMATELY 2.0E+3, 4.2E+6, 2.1E+9 IN SINGLE PRECISION +C ARITHMETIC AND 1.3E+8, 1.8E+16, 2.1E+9 IN DOUBLE PRECISION +C ARITHMETIC RESPECTIVELY. THIS MAKES U2 AND U3 LIMITING IN +C THEIR RESPECTIVE ARITHMETICS. THIS MEANS THAT ONE CAN EXPECT +C TO RETAIN, IN THE WORST CASES ON 32 BIT MACHINES, NO DIGITS +C IN SINGLE AND ONLY 7 DIGITS IN DOUBLE PRECISION ARITHMETIC. +C SIMILAR CONSIDERATIONS HOLD FOR OTHER MACHINES. +C +C THE APPROXIMATE RELATIVE ERROR IN THE MAGNITUDE OF A COMPLEX +C BESSEL FUNCTION CAN BE EXPRESSED BY P*10**S WHERE P=MAX(UNIT +C ROUNDOFF,1.0D-18) IS THE NOMINAL PRECISION AND 10**S REPRE- +C SENTS THE INCREASE IN ERROR DUE TO ARGUMENT REDUCTION IN THE +C ELEMENTARY FUNCTIONS. HERE, S=MAX(1,ABS(LOG10(CABS(Z))), +C ABS(LOG10(FNU))) APPROXIMATELY (I.E. S=MAX(1,ABS(EXPONENT OF +C CABS(Z),ABS(EXPONENT OF FNU)) ). HOWEVER, THE PHASE ANGLE MAY +C HAVE ONLY ABSOLUTE ACCURACY. THIS IS MOST LIKELY TO OCCUR WHEN +C ONE COMPONENT (IN ABSOLUTE VALUE) IS LARGER THAN THE OTHER BY +C SEVERAL ORDERS OF MAGNITUDE. IF ONE COMPONENT IS 10**K LARGER +C THAN THE OTHER, THEN ONE CAN EXPECT ONLY MAX(ABS(LOG10(P))-K, +C 0) SIGNIFICANT DIGITS; OR, STATED ANOTHER WAY, WHEN K EXCEEDS +C THE EXPONENT OF P, NO SIGNIFICANT DIGITS REMAIN IN THE SMALLER +C COMPONENT. HOWEVER, THE PHASE ANGLE RETAINS ABSOLUTE ACCURACY +C BECAUSE, IN COMPLEX ARITHMETIC WITH PRECISION P, THE SMALLER +C COMPONENT WILL NOT (AS A RULE) DECREASE BELOW P TIMES THE +C MAGNITUDE OF THE LARGER COMPONENT. IN THESE EXTREME CASES, +C THE PRINCIPAL PHASE ANGLE IS ON THE ORDER OF +P, -P, PI/2-P, +C OR -PI/2+P. +C +C***REFERENCES HANDBOOK OF MATHEMATICAL FUNCTIONS BY M. ABRAMOWITZ +C AND I. A. STEGUN, NBS AMS SERIES 55, U.S. DEPT. OF +C COMMERCE, 1955. +C +C COMPUTATION OF BESSEL FUNCTIONS OF COMPLEX ARGUMENT +C BY D. E. AMOS, SAND83-0083, MAY, 1983. +C +C COMPUTATION OF BESSEL FUNCTIONS OF COMPLEX ARGUMENT +C AND LARGE ORDER BY D. E. AMOS, SAND83-0643, MAY, 1983 +C +C A SUBROUTINE PACKAGE FOR BESSEL FUNCTIONS OF A COMPLEX +C ARGUMENT AND NONNEGATIVE ORDER BY D. E. AMOS, SAND85- +C 1018, MAY, 1985 +C +C A PORTABLE PACKAGE FOR BESSEL FUNCTIONS OF A COMPLEX +C ARGUMENT AND NONNEGATIVE ORDER BY D. E. AMOS, TRANS. +C MATH. SOFTWARE, 1986 +C +C***ROUTINES CALLED ZACON,ZBKNU,ZBUNK,ZUOIK,ZABS,I1MACH,D1MACH +C***END PROLOGUE ZBESH +C +C COMPLEX CY,Z,ZN,ZT,CSGN + DOUBLE PRECISION AA, ALIM, ALN, ARG, AZ, CYI, CYR, DIG, ELIM, + * FMM, FN, FNU, FNUL, HPI, RHPI, RL, R1M5, SGN, STR, TOL, UFL, ZI, + * ZNI, ZNR, ZR, ZTI, D1MACH, ZABS, BB, ASCLE, RTOL, ATOL, STI, + * CSGNR, CSGNI + INTEGER I, IERR, INU, INUH, IR, K, KODE, K1, K2, M, + * MM, MR, N, NN, NUF, NW, NZ, I1MACH + DIMENSION CYR(N), CYI(N) +C + DATA HPI /1.57079632679489662D0/ +C +C***FIRST EXECUTABLE STATEMENT ZBESH + IERR = 0 + NZ=0 + IF (ZR.EQ.0.0D0 .AND. ZI.EQ.0.0D0) IERR=1 + IF (FNU.LT.0.0D0) IERR=1 + IF (M.LT.1 .OR. M.GT.2) IERR=1 + IF (KODE.LT.1 .OR. KODE.GT.2) IERR=1 + IF (N.LT.1) IERR=1 + IF (IERR.NE.0) RETURN + NN = N +C----------------------------------------------------------------------- +C SET PARAMETERS RELATED TO MACHINE CONSTANTS. +C TOL IS THE APPROXIMATE UNIT ROUNDOFF LIMITED TO 1.0E-18. +C ELIM IS THE APPROXIMATE EXPONENTIAL OVER- AND UNDERFLOW LIMIT. +C EXP(-ELIM).LT.EXP(-ALIM)=EXP(-ELIM)/TOL AND +C EXP(ELIM).GT.EXP(ALIM)=EXP(ELIM)*TOL ARE INTERVALS NEAR +C UNDERFLOW AND OVERFLOW LIMITS WHERE SCALED ARITHMETIC IS DONE. +C RL IS THE LOWER BOUNDARY OF THE ASYMPTOTIC EXPANSION FOR LARGE Z. +C DIG = NUMBER OF BASE 10 DIGITS IN TOL = 10**(-DIG). +C FNUL IS THE LOWER BOUNDARY OF THE ASYMPTOTIC SERIES FOR LARGE FNU +C----------------------------------------------------------------------- + TOL = DMAX1(D1MACH(4),1.0D-18) + K1 = I1MACH(15) + K2 = I1MACH(16) + R1M5 = D1MACH(5) + K = MIN0(IABS(K1),IABS(K2)) + ELIM = 2.303D0*(DBLE(FLOAT(K))*R1M5-3.0D0) + K1 = I1MACH(14) - 1 + AA = R1M5*DBLE(FLOAT(K1)) + DIG = DMIN1(AA,18.0D0) + AA = AA*2.303D0 + ALIM = ELIM + DMAX1(-AA,-41.45D0) + FNUL = 10.0D0 + 6.0D0*(DIG-3.0D0) + RL = 1.2D0*DIG + 3.0D0 + FN = FNU + DBLE(FLOAT(NN-1)) + MM = 3 - M - M + FMM = DBLE(FLOAT(MM)) + ZNR = FMM*ZI + ZNI = -FMM*ZR +C----------------------------------------------------------------------- +C TEST FOR PROPER RANGE +C----------------------------------------------------------------------- + AZ = ZABS(COMPLEX(ZR,ZI)) + AA = 0.5D0/TOL + BB=DBLE(FLOAT(I1MACH(9)))*0.5D0 + AA = DMIN1(AA,BB) + IF (AZ.GT.AA) GO TO 260 + IF (FN.GT.AA) GO TO 260 + AA = DSQRT(AA) + IF (AZ.GT.AA) IERR=3 + IF (FN.GT.AA) IERR=3 +C----------------------------------------------------------------------- +C OVERFLOW TEST ON THE LAST MEMBER OF THE SEQUENCE +C----------------------------------------------------------------------- + UFL = D1MACH(1)*1.0D+3 + IF (AZ.LT.UFL) GO TO 230 + IF (FNU.GT.FNUL) GO TO 90 + IF (FN.LE.1.0D0) GO TO 70 + IF (FN.GT.2.0D0) GO TO 60 + IF (AZ.GT.TOL) GO TO 70 + ARG = 0.5D0*AZ + ALN = -FN*DLOG(ARG) + IF (ALN.GT.ELIM) GO TO 230 + GO TO 70 + 60 CONTINUE + CALL ZUOIK(ZNR, ZNI, FNU, KODE, 2, NN, CYR, CYI, NUF, TOL, ELIM, + * ALIM) + IF (NUF.LT.0) GO TO 230 + NZ = NZ + NUF + NN = NN - NUF +C----------------------------------------------------------------------- +C HERE NN=N OR NN=0 SINCE NUF=0,NN, OR -1 ON RETURN FROM CUOIK +C IF NUF=NN, THEN CY(I)=CZERO FOR ALL I +C----------------------------------------------------------------------- + IF (NN.EQ.0) GO TO 140 + 70 CONTINUE + IF ((ZNR.LT.0.0D0) .OR. (ZNR.EQ.0.0D0 .AND. ZNI.LT.0.0D0 .AND. + * M.EQ.2)) GO TO 80 +C----------------------------------------------------------------------- +C RIGHT HALF PLANE COMPUTATION, XN.GE.0. .AND. (XN.NE.0. .OR. +C YN.GE.0. .OR. M=1) +C----------------------------------------------------------------------- + CALL ZBKNU(ZNR, ZNI, FNU, KODE, NN, CYR, CYI, NZ, TOL, ELIM, ALIM) + GO TO 110 +C----------------------------------------------------------------------- +C LEFT HALF PLANE COMPUTATION +C----------------------------------------------------------------------- + 80 CONTINUE + MR = -MM + CALL ZACON(ZNR, ZNI, FNU, KODE, MR, NN, CYR, CYI, NW, RL, FNUL, + * TOL, ELIM, ALIM) + IF (NW.LT.0) GO TO 240 + NZ=NW + GO TO 110 + 90 CONTINUE +C----------------------------------------------------------------------- +C UNIFORM ASYMPTOTIC EXPANSIONS FOR FNU.GT.FNUL +C----------------------------------------------------------------------- + MR = 0 + IF ((ZNR.GE.0.0D0) .AND. (ZNR.NE.0.0D0 .OR. ZNI.GE.0.0D0 .OR. + * M.NE.2)) GO TO 100 + MR = -MM + IF (ZNR.NE.0.0D0 .OR. ZNI.GE.0.0D0) GO TO 100 + ZNR = -ZNR + ZNI = -ZNI + 100 CONTINUE + CALL ZBUNK(ZNR, ZNI, FNU, KODE, MR, NN, CYR, CYI, NW, TOL, ELIM, + * ALIM) + IF (NW.LT.0) GO TO 240 + NZ = NZ + NW + 110 CONTINUE +C----------------------------------------------------------------------- +C H(M,FNU,Z) = -FMM*(I/HPI)*(ZT**FNU)*K(FNU,-Z*ZT) +C +C ZT=EXP(-FMM*HPI*I) = CMPLX(0.0,-FMM), FMM=3-2*M, M=1,2 +C----------------------------------------------------------------------- + SGN = DSIGN(HPI,-FMM) +C----------------------------------------------------------------------- +C CALCULATE EXP(FNU*HPI*I) TO MINIMIZE LOSSES OF SIGNIFICANCE +C WHEN FNU IS LARGE +C----------------------------------------------------------------------- + INU = INT(SNGL(FNU)) + INUH = INU/2 + IR = INU - 2*INUH + ARG = (FNU-DBLE(FLOAT(INU-IR)))*SGN + RHPI = 1.0D0/SGN +C ZNI = RHPI*DCOS(ARG) +C ZNR = -RHPI*DSIN(ARG) + CSGNI = RHPI*DCOS(ARG) + CSGNR = -RHPI*DSIN(ARG) + IF (MOD(INUH,2).EQ.0) GO TO 120 +C ZNR = -ZNR +C ZNI = -ZNI + CSGNR = -CSGNR + CSGNI = -CSGNI + 120 CONTINUE + ZTI = -FMM + RTOL = 1.0D0/TOL + ASCLE = UFL*RTOL + DO 130 I=1,NN +C STR = CYR(I)*ZNR - CYI(I)*ZNI +C CYI(I) = CYR(I)*ZNI + CYI(I)*ZNR +C CYR(I) = STR +C STR = -ZNI*ZTI +C ZNI = ZNR*ZTI +C ZNR = STR + AA = CYR(I) + BB = CYI(I) + ATOL = 1.0D0 + IF (DMAX1(DABS(AA),DABS(BB)).GT.ASCLE) GO TO 135 + AA = AA*RTOL + BB = BB*RTOL + ATOL = TOL + 135 CONTINUE + STR = AA*CSGNR - BB*CSGNI + STI = AA*CSGNI + BB*CSGNR + CYR(I) = STR*ATOL + CYI(I) = STI*ATOL + STR = -CSGNI*ZTI + CSGNI = CSGNR*ZTI + CSGNR = STR + 130 CONTINUE + RETURN + 140 CONTINUE + IF (ZNR.LT.0.0D0) GO TO 230 + RETURN + 230 CONTINUE + NZ=0 + IERR=2 + RETURN + 240 CONTINUE + IF(NW.EQ.(-1)) GO TO 230 + NZ=0 + IERR=5 + RETURN + 260 CONTINUE + NZ=0 + IERR=4 + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zbesi.f julia-0.2.1~quantal7/deps/openspecfun/amos/zbesi.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zbesi.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zbesi.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,269 @@ + SUBROUTINE ZBESI(ZR, ZI, FNU, KODE, N, CYR, CYI, NZ, IERR) +C***BEGIN PROLOGUE ZBESI +C***DATE WRITTEN 830501 (YYMMDD) +C***REVISION DATE 890801 (YYMMDD) +C***CATEGORY NO. B5K +C***KEYWORDS I-BESSEL FUNCTION,COMPLEX BESSEL FUNCTION, +C MODIFIED BESSEL FUNCTION OF THE FIRST KIND +C***AUTHOR AMOS, DONALD E., SANDIA NATIONAL LABORATORIES +C***PURPOSE TO COMPUTE I-BESSEL FUNCTIONS OF COMPLEX ARGUMENT +C***DESCRIPTION +C +C ***A DOUBLE PRECISION ROUTINE*** +C ON KODE=1, ZBESI COMPUTES AN N MEMBER SEQUENCE OF COMPLEX +C BESSEL FUNCTIONS CY(J)=I(FNU+J-1,Z) FOR REAL, NONNEGATIVE +C ORDERS FNU+J-1, J=1,...,N AND COMPLEX Z IN THE CUT PLANE +C -PI.LT.ARG(Z).LE.PI. ON KODE=2, ZBESI RETURNS THE SCALED +C FUNCTIONS +C +C CY(J)=EXP(-ABS(X))*I(FNU+J-1,Z) J = 1,...,N , X=REAL(Z) +C +C WITH THE EXPONENTIAL GROWTH REMOVED IN BOTH THE LEFT AND +C RIGHT HALF PLANES FOR Z TO INFINITY. DEFINITIONS AND NOTATION +C ARE FOUND IN THE NBS HANDBOOK OF MATHEMATICAL FUNCTIONS +C (REF. 1). +C +C INPUT ZR,ZI,FNU ARE DOUBLE PRECISION +C ZR,ZI - Z=CMPLX(ZR,ZI), -PI.LT.ARG(Z).LE.PI +C FNU - ORDER OF INITIAL I FUNCTION, FNU.GE.0.0D0 +C KODE - A PARAMETER TO INDICATE THE SCALING OPTION +C KODE= 1 RETURNS +C CY(J)=I(FNU+J-1,Z), J=1,...,N +C = 2 RETURNS +C CY(J)=I(FNU+J-1,Z)*EXP(-ABS(X)), J=1,...,N +C N - NUMBER OF MEMBERS OF THE SEQUENCE, N.GE.1 +C +C OUTPUT CYR,CYI ARE DOUBLE PRECISION +C CYR,CYI- DOUBLE PRECISION VECTORS WHOSE FIRST N COMPONENTS +C CONTAIN REAL AND IMAGINARY PARTS FOR THE SEQUENCE +C CY(J)=I(FNU+J-1,Z) OR +C CY(J)=I(FNU+J-1,Z)*EXP(-ABS(X)) J=1,...,N +C DEPENDING ON KODE, X=REAL(Z) +C NZ - NUMBER OF COMPONENTS SET TO ZERO DUE TO UNDERFLOW, +C NZ= 0 , NORMAL RETURN +C NZ.GT.0 , LAST NZ COMPONENTS OF CY SET TO ZERO +C TO UNDERFLOW, CY(J)=CMPLX(0.0D0,0.0D0) +C J = N-NZ+1,...,N +C IERR - ERROR FLAG +C IERR=0, NORMAL RETURN - COMPUTATION COMPLETED +C IERR=1, INPUT ERROR - NO COMPUTATION +C IERR=2, OVERFLOW - NO COMPUTATION, REAL(Z) TOO +C LARGE ON KODE=1 +C IERR=3, CABS(Z) OR FNU+N-1 LARGE - COMPUTATION DONE +C BUT LOSSES OF SIGNIFCANCE BY ARGUMENT +C REDUCTION PRODUCE LESS THAN HALF OF MACHINE +C ACCURACY +C IERR=4, CABS(Z) OR FNU+N-1 TOO LARGE - NO COMPUTA- +C TION BECAUSE OF COMPLETE LOSSES OF SIGNIFI- +C CANCE BY ARGUMENT REDUCTION +C IERR=5, ERROR - NO COMPUTATION, +C ALGORITHM TERMINATION CONDITION NOT MET +C +C***LONG DESCRIPTION +C +C THE COMPUTATION IS CARRIED OUT BY THE POWER SERIES FOR +C SMALL CABS(Z), THE ASYMPTOTIC EXPANSION FOR LARGE CABS(Z), +C THE MILLER ALGORITHM NORMALIZED BY THE WRONSKIAN AND A +C NEUMANN SERIES FOR IMTERMEDIATE MAGNITUDES, AND THE +C UNIFORM ASYMPTOTIC EXPANSIONS FOR I(FNU,Z) AND J(FNU,Z) +C FOR LARGE ORDERS. BACKWARD RECURRENCE IS USED TO GENERATE +C SEQUENCES OR REDUCE ORDERS WHEN NECESSARY. +C +C THE CALCULATIONS ABOVE ARE DONE IN THE RIGHT HALF PLANE AND +C CONTINUED INTO THE LEFT HALF PLANE BY THE FORMULA +C +C I(FNU,Z*EXP(M*PI)) = EXP(M*PI*FNU)*I(FNU,Z) REAL(Z).GT.0.0 +C M = +I OR -I, I**2=-1 +C +C FOR NEGATIVE ORDERS,THE FORMULA +C +C I(-FNU,Z) = I(FNU,Z) + (2/PI)*SIN(PI*FNU)*K(FNU,Z) +C +C CAN BE USED. HOWEVER,FOR LARGE ORDERS CLOSE TO INTEGERS, THE +C THE FUNCTION CHANGES RADICALLY. WHEN FNU IS A LARGE POSITIVE +C INTEGER,THE MAGNITUDE OF I(-FNU,Z)=I(FNU,Z) IS A LARGE +C NEGATIVE POWER OF TEN. BUT WHEN FNU IS NOT AN INTEGER, +C K(FNU,Z) DOMINATES IN MAGNITUDE WITH A LARGE POSITIVE POWER OF +C TEN AND THE MOST THAT THE SECOND TERM CAN BE REDUCED IS BY +C UNIT ROUNDOFF FROM THE COEFFICIENT. THUS, WIDE CHANGES CAN +C OCCUR WITHIN UNIT ROUNDOFF OF A LARGE INTEGER FOR FNU. HERE, +C LARGE MEANS FNU.GT.CABS(Z). +C +C IN MOST COMPLEX VARIABLE COMPUTATION, ONE MUST EVALUATE ELE- +C MENTARY FUNCTIONS. WHEN THE MAGNITUDE OF Z OR FNU+N-1 IS +C LARGE, LOSSES OF SIGNIFICANCE BY ARGUMENT REDUCTION OCCUR. +C CONSEQUENTLY, IF EITHER ONE EXCEEDS U1=SQRT(0.5/UR), THEN +C LOSSES EXCEEDING HALF PRECISION ARE LIKELY AND AN ERROR FLAG +C IERR=3 IS TRIGGERED WHERE UR=DMAX1(D1MACH(4),1.0D-18) IS +C DOUBLE PRECISION UNIT ROUNDOFF LIMITED TO 18 DIGITS PRECISION. +C IF EITHER IS LARGER THAN U2=0.5/UR, THEN ALL SIGNIFICANCE IS +C LOST AND IERR=4. IN ORDER TO USE THE INT FUNCTION, ARGUMENTS +C MUST BE FURTHER RESTRICTED NOT TO EXCEED THE LARGEST MACHINE +C INTEGER, U3=I1MACH(9). THUS, THE MAGNITUDE OF Z AND FNU+N-1 IS +C RESTRICTED BY MIN(U2,U3). ON 32 BIT MACHINES, U1,U2, AND U3 +C ARE APPROXIMATELY 2.0E+3, 4.2E+6, 2.1E+9 IN SINGLE PRECISION +C ARITHMETIC AND 1.3E+8, 1.8E+16, 2.1E+9 IN DOUBLE PRECISION +C ARITHMETIC RESPECTIVELY. THIS MAKES U2 AND U3 LIMITING IN +C THEIR RESPECTIVE ARITHMETICS. THIS MEANS THAT ONE CAN EXPECT +C TO RETAIN, IN THE WORST CASES ON 32 BIT MACHINES, NO DIGITS +C IN SINGLE AND ONLY 7 DIGITS IN DOUBLE PRECISION ARITHMETIC. +C SIMILAR CONSIDERATIONS HOLD FOR OTHER MACHINES. +C +C THE APPROXIMATE RELATIVE ERROR IN THE MAGNITUDE OF A COMPLEX +C BESSEL FUNCTION CAN BE EXPRESSED BY P*10**S WHERE P=MAX(UNIT +C ROUNDOFF,1.0E-18) IS THE NOMINAL PRECISION AND 10**S REPRE- +C SENTS THE INCREASE IN ERROR DUE TO ARGUMENT REDUCTION IN THE +C ELEMENTARY FUNCTIONS. HERE, S=MAX(1,ABS(LOG10(CABS(Z))), +C ABS(LOG10(FNU))) APPROXIMATELY (I.E. S=MAX(1,ABS(EXPONENT OF +C CABS(Z),ABS(EXPONENT OF FNU)) ). HOWEVER, THE PHASE ANGLE MAY +C HAVE ONLY ABSOLUTE ACCURACY. THIS IS MOST LIKELY TO OCCUR WHEN +C ONE COMPONENT (IN ABSOLUTE VALUE) IS LARGER THAN THE OTHER BY +C SEVERAL ORDERS OF MAGNITUDE. IF ONE COMPONENT IS 10**K LARGER +C THAN THE OTHER, THEN ONE CAN EXPECT ONLY MAX(ABS(LOG10(P))-K, +C 0) SIGNIFICANT DIGITS; OR, STATED ANOTHER WAY, WHEN K EXCEEDS +C THE EXPONENT OF P, NO SIGNIFICANT DIGITS REMAIN IN THE SMALLER +C COMPONENT. HOWEVER, THE PHASE ANGLE RETAINS ABSOLUTE ACCURACY +C BECAUSE, IN COMPLEX ARITHMETIC WITH PRECISION P, THE SMALLER +C COMPONENT WILL NOT (AS A RULE) DECREASE BELOW P TIMES THE +C MAGNITUDE OF THE LARGER COMPONENT. IN THESE EXTREME CASES, +C THE PRINCIPAL PHASE ANGLE IS ON THE ORDER OF +P, -P, PI/2-P, +C OR -PI/2+P. +C +C***REFERENCES HANDBOOK OF MATHEMATICAL FUNCTIONS BY M. ABRAMOWITZ +C AND I. A. STEGUN, NBS AMS SERIES 55, U.S. DEPT. OF +C COMMERCE, 1955. +C +C COMPUTATION OF BESSEL FUNCTIONS OF COMPLEX ARGUMENT +C BY D. E. AMOS, SAND83-0083, MAY, 1983. +C +C COMPUTATION OF BESSEL FUNCTIONS OF COMPLEX ARGUMENT +C AND LARGE ORDER BY D. E. AMOS, SAND83-0643, MAY, 1983 +C +C A SUBROUTINE PACKAGE FOR BESSEL FUNCTIONS OF A COMPLEX +C ARGUMENT AND NONNEGATIVE ORDER BY D. E. AMOS, SAND85- +C 1018, MAY, 1985 +C +C A PORTABLE PACKAGE FOR BESSEL FUNCTIONS OF A COMPLEX +C ARGUMENT AND NONNEGATIVE ORDER BY D. E. AMOS, TRANS. +C MATH. SOFTWARE, 1986 +C +C***ROUTINES CALLED ZBINU,I1MACH,D1MACH +C***END PROLOGUE ZBESI +C COMPLEX CONE,CSGN,CW,CY,CZERO,Z,ZN + DOUBLE PRECISION AA, ALIM, ARG, CONEI, CONER, CSGNI, CSGNR, CYI, + * CYR, DIG, ELIM, FNU, FNUL, PI, RL, R1M5, STR, TOL, ZI, ZNI, ZNR, + * ZR, D1MACH, AZ, BB, FN, ZABS, ASCLE, RTOL, ATOL, STI + INTEGER I, IERR, INU, K, KODE, K1,K2,N,NZ,NN, I1MACH + DIMENSION CYR(N), CYI(N) + DATA PI /3.14159265358979324D0/ + DATA CONER, CONEI /1.0D0,0.0D0/ +C +C***FIRST EXECUTABLE STATEMENT ZBESI + IERR = 0 + NZ=0 + IF (FNU.LT.0.0D0) IERR=1 + IF (KODE.LT.1 .OR. KODE.GT.2) IERR=1 + IF (N.LT.1) IERR=1 + IF (IERR.NE.0) RETURN +C----------------------------------------------------------------------- +C SET PARAMETERS RELATED TO MACHINE CONSTANTS. +C TOL IS THE APPROXIMATE UNIT ROUNDOFF LIMITED TO 1.0E-18. +C ELIM IS THE APPROXIMATE EXPONENTIAL OVER- AND UNDERFLOW LIMIT. +C EXP(-ELIM).LT.EXP(-ALIM)=EXP(-ELIM)/TOL AND +C EXP(ELIM).GT.EXP(ALIM)=EXP(ELIM)*TOL ARE INTERVALS NEAR +C UNDERFLOW AND OVERFLOW LIMITS WHERE SCALED ARITHMETIC IS DONE. +C RL IS THE LOWER BOUNDARY OF THE ASYMPTOTIC EXPANSION FOR LARGE Z. +C DIG = NUMBER OF BASE 10 DIGITS IN TOL = 10**(-DIG). +C FNUL IS THE LOWER BOUNDARY OF THE ASYMPTOTIC SERIES FOR LARGE FNU. +C----------------------------------------------------------------------- + TOL = DMAX1(D1MACH(4),1.0D-18) + K1 = I1MACH(15) + K2 = I1MACH(16) + R1M5 = D1MACH(5) + K = MIN0(IABS(K1),IABS(K2)) + ELIM = 2.303D0*(DBLE(FLOAT(K))*R1M5-3.0D0) + K1 = I1MACH(14) - 1 + AA = R1M5*DBLE(FLOAT(K1)) + DIG = DMIN1(AA,18.0D0) + AA = AA*2.303D0 + ALIM = ELIM + DMAX1(-AA,-41.45D0) + RL = 1.2D0*DIG + 3.0D0 + FNUL = 10.0D0 + 6.0D0*(DIG-3.0D0) +C----------------------------------------------------------------------------- +C TEST FOR PROPER RANGE +C----------------------------------------------------------------------- + AZ = ZABS(COMPLEX(ZR,ZI)) + FN = FNU+DBLE(FLOAT(N-1)) + AA = 0.5D0/TOL + BB=DBLE(FLOAT(I1MACH(9)))*0.5D0 + AA = DMIN1(AA,BB) + IF (AZ.GT.AA) GO TO 260 + IF (FN.GT.AA) GO TO 260 + AA = DSQRT(AA) + IF (AZ.GT.AA) IERR=3 + IF (FN.GT.AA) IERR=3 + ZNR = ZR + ZNI = ZI + CSGNR = CONER + CSGNI = CONEI + IF (ZR.GE.0.0D0) GO TO 40 + ZNR = -ZR + ZNI = -ZI +C----------------------------------------------------------------------- +C CALCULATE CSGN=EXP(FNU*PI*I) TO MINIMIZE LOSSES OF SIGNIFICANCE +C WHEN FNU IS LARGE +C----------------------------------------------------------------------- + INU = INT(SNGL(FNU)) + ARG = (FNU-DBLE(FLOAT(INU)))*PI + IF (ZI.LT.0.0D0) ARG = -ARG + CSGNR = DCOS(ARG) + CSGNI = DSIN(ARG) + IF (MOD(INU,2).EQ.0) GO TO 40 + CSGNR = -CSGNR + CSGNI = -CSGNI + 40 CONTINUE + CALL ZBINU(ZNR, ZNI, FNU, KODE, N, CYR, CYI, NZ, RL, FNUL, TOL, + * ELIM, ALIM) + IF (NZ.LT.0) GO TO 120 + IF (ZR.GE.0.0D0) RETURN +C----------------------------------------------------------------------- +C ANALYTIC CONTINUATION TO THE LEFT HALF PLANE +C----------------------------------------------------------------------- + NN = N - NZ + IF (NN.EQ.0) RETURN + RTOL = 1.0D0/TOL + ASCLE = D1MACH(1)*RTOL*1.0D+3 + DO 50 I=1,NN +C STR = CYR(I)*CSGNR - CYI(I)*CSGNI +C CYI(I) = CYR(I)*CSGNI + CYI(I)*CSGNR +C CYR(I) = STR + AA = CYR(I) + BB = CYI(I) + ATOL = 1.0D0 + IF (DMAX1(DABS(AA),DABS(BB)).GT.ASCLE) GO TO 55 + AA = AA*RTOL + BB = BB*RTOL + ATOL = TOL + 55 CONTINUE + STR = AA*CSGNR - BB*CSGNI + STI = AA*CSGNI + BB*CSGNR + CYR(I) = STR*ATOL + CYI(I) = STI*ATOL + CSGNR = -CSGNR + CSGNI = -CSGNI + 50 CONTINUE + RETURN + 120 CONTINUE + IF(NZ.EQ.(-2)) GO TO 130 + NZ = 0 + IERR=2 + RETURN + 130 CONTINUE + NZ=0 + IERR=5 + RETURN + 260 CONTINUE + NZ=0 + IERR=4 + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zbesj.f julia-0.2.1~quantal7/deps/openspecfun/amos/zbesj.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zbesj.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zbesj.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,266 @@ + SUBROUTINE ZBESJ(ZR, ZI, FNU, KODE, N, CYR, CYI, NZ, IERR) +C***BEGIN PROLOGUE ZBESJ +C***DATE WRITTEN 830501 (YYMMDD) +C***REVISION DATE 890801 (YYMMDD) +C***CATEGORY NO. B5K +C***KEYWORDS J-BESSEL FUNCTION,BESSEL FUNCTION OF COMPLEX ARGUMENT, +C BESSEL FUNCTION OF FIRST KIND +C***AUTHOR AMOS, DONALD E., SANDIA NATIONAL LABORATORIES +C***PURPOSE TO COMPUTE THE J-BESSEL FUNCTION OF A COMPLEX ARGUMENT +C***DESCRIPTION +C +C ***A DOUBLE PRECISION ROUTINE*** +C ON KODE=1, CBESJ COMPUTES AN N MEMBER SEQUENCE OF COMPLEX +C BESSEL FUNCTIONS CY(I)=J(FNU+I-1,Z) FOR REAL, NONNEGATIVE +C ORDERS FNU+I-1, I=1,...,N AND COMPLEX Z IN THE CUT PLANE +C -PI.LT.ARG(Z).LE.PI. ON KODE=2, CBESJ RETURNS THE SCALED +C FUNCTIONS +C +C CY(I)=EXP(-ABS(Y))*J(FNU+I-1,Z) I = 1,...,N , Y=AIMAG(Z) +C +C WHICH REMOVE THE EXPONENTIAL GROWTH IN BOTH THE UPPER AND +C LOWER HALF PLANES FOR Z TO INFINITY. DEFINITIONS AND NOTATION +C ARE FOUND IN THE NBS HANDBOOK OF MATHEMATICAL FUNCTIONS +C (REF. 1). +C +C INPUT ZR,ZI,FNU ARE DOUBLE PRECISION +C ZR,ZI - Z=CMPLX(ZR,ZI), -PI.LT.ARG(Z).LE.PI +C FNU - ORDER OF INITIAL J FUNCTION, FNU.GE.0.0D0 +C KODE - A PARAMETER TO INDICATE THE SCALING OPTION +C KODE= 1 RETURNS +C CY(I)=J(FNU+I-1,Z), I=1,...,N +C = 2 RETURNS +C CY(I)=J(FNU+I-1,Z)EXP(-ABS(Y)), I=1,...,N +C N - NUMBER OF MEMBERS OF THE SEQUENCE, N.GE.1 +C +C OUTPUT CYR,CYI ARE DOUBLE PRECISION +C CYR,CYI- DOUBLE PRECISION VECTORS WHOSE FIRST N COMPONENTS +C CONTAIN REAL AND IMAGINARY PARTS FOR THE SEQUENCE +C CY(I)=J(FNU+I-1,Z) OR +C CY(I)=J(FNU+I-1,Z)EXP(-ABS(Y)) I=1,...,N +C DEPENDING ON KODE, Y=AIMAG(Z). +C NZ - NUMBER OF COMPONENTS SET TO ZERO DUE TO UNDERFLOW, +C NZ= 0 , NORMAL RETURN +C NZ.GT.0 , LAST NZ COMPONENTS OF CY SET ZERO DUE +C TO UNDERFLOW, CY(I)=CMPLX(0.0D0,0.0D0), +C I = N-NZ+1,...,N +C IERR - ERROR FLAG +C IERR=0, NORMAL RETURN - COMPUTATION COMPLETED +C IERR=1, INPUT ERROR - NO COMPUTATION +C IERR=2, OVERFLOW - NO COMPUTATION, AIMAG(Z) +C TOO LARGE ON KODE=1 +C IERR=3, CABS(Z) OR FNU+N-1 LARGE - COMPUTATION DONE +C BUT LOSSES OF SIGNIFCANCE BY ARGUMENT +C REDUCTION PRODUCE LESS THAN HALF OF MACHINE +C ACCURACY +C IERR=4, CABS(Z) OR FNU+N-1 TOO LARGE - NO COMPUTA- +C TION BECAUSE OF COMPLETE LOSSES OF SIGNIFI- +C CANCE BY ARGUMENT REDUCTION +C IERR=5, ERROR - NO COMPUTATION, +C ALGORITHM TERMINATION CONDITION NOT MET +C +C***LONG DESCRIPTION +C +C THE COMPUTATION IS CARRIED OUT BY THE FORMULA +C +C J(FNU,Z)=EXP( FNU*PI*I/2)*I(FNU,-I*Z) AIMAG(Z).GE.0.0 +C +C J(FNU,Z)=EXP(-FNU*PI*I/2)*I(FNU, I*Z) AIMAG(Z).LT.0.0 +C +C WHERE I**2 = -1 AND I(FNU,Z) IS THE I BESSEL FUNCTION. +C +C FOR NEGATIVE ORDERS,THE FORMULA +C +C J(-FNU,Z) = J(FNU,Z)*COS(PI*FNU) - Y(FNU,Z)*SIN(PI*FNU) +C +C CAN BE USED. HOWEVER,FOR LARGE ORDERS CLOSE TO INTEGERS, THE +C THE FUNCTION CHANGES RADICALLY. WHEN FNU IS A LARGE POSITIVE +C INTEGER,THE MAGNITUDE OF J(-FNU,Z)=J(FNU,Z)*COS(PI*FNU) IS A +C LARGE NEGATIVE POWER OF TEN. BUT WHEN FNU IS NOT AN INTEGER, +C Y(FNU,Z) DOMINATES IN MAGNITUDE WITH A LARGE POSITIVE POWER OF +C TEN AND THE MOST THAT THE SECOND TERM CAN BE REDUCED IS BY +C UNIT ROUNDOFF FROM THE COEFFICIENT. THUS, WIDE CHANGES CAN +C OCCUR WITHIN UNIT ROUNDOFF OF A LARGE INTEGER FOR FNU. HERE, +C LARGE MEANS FNU.GT.CABS(Z). +C +C IN MOST COMPLEX VARIABLE COMPUTATION, ONE MUST EVALUATE ELE- +C MENTARY FUNCTIONS. WHEN THE MAGNITUDE OF Z OR FNU+N-1 IS +C LARGE, LOSSES OF SIGNIFICANCE BY ARGUMENT REDUCTION OCCUR. +C CONSEQUENTLY, IF EITHER ONE EXCEEDS U1=SQRT(0.5/UR), THEN +C LOSSES EXCEEDING HALF PRECISION ARE LIKELY AND AN ERROR FLAG +C IERR=3 IS TRIGGERED WHERE UR=DMAX1(D1MACH(4),1.0D-18) IS +C DOUBLE PRECISION UNIT ROUNDOFF LIMITED TO 18 DIGITS PRECISION. +C IF EITHER IS LARGER THAN U2=0.5/UR, THEN ALL SIGNIFICANCE IS +C LOST AND IERR=4. IN ORDER TO USE THE INT FUNCTION, ARGUMENTS +C MUST BE FURTHER RESTRICTED NOT TO EXCEED THE LARGEST MACHINE +C INTEGER, U3=I1MACH(9). THUS, THE MAGNITUDE OF Z AND FNU+N-1 IS +C RESTRICTED BY MIN(U2,U3). ON 32 BIT MACHINES, U1,U2, AND U3 +C ARE APPROXIMATELY 2.0E+3, 4.2E+6, 2.1E+9 IN SINGLE PRECISION +C ARITHMETIC AND 1.3E+8, 1.8E+16, 2.1E+9 IN DOUBLE PRECISION +C ARITHMETIC RESPECTIVELY. THIS MAKES U2 AND U3 LIMITING IN +C THEIR RESPECTIVE ARITHMETICS. THIS MEANS THAT ONE CAN EXPECT +C TO RETAIN, IN THE WORST CASES ON 32 BIT MACHINES, NO DIGITS +C IN SINGLE AND ONLY 7 DIGITS IN DOUBLE PRECISION ARITHMETIC. +C SIMILAR CONSIDERATIONS HOLD FOR OTHER MACHINES. +C +C THE APPROXIMATE RELATIVE ERROR IN THE MAGNITUDE OF A COMPLEX +C BESSEL FUNCTION CAN BE EXPRESSED BY P*10**S WHERE P=MAX(UNIT +C ROUNDOFF,1.0E-18) IS THE NOMINAL PRECISION AND 10**S REPRE- +C SENTS THE INCREASE IN ERROR DUE TO ARGUMENT REDUCTION IN THE +C ELEMENTARY FUNCTIONS. HERE, S=MAX(1,ABS(LOG10(CABS(Z))), +C ABS(LOG10(FNU))) APPROXIMATELY (I.E. S=MAX(1,ABS(EXPONENT OF +C CABS(Z),ABS(EXPONENT OF FNU)) ). HOWEVER, THE PHASE ANGLE MAY +C HAVE ONLY ABSOLUTE ACCURACY. THIS IS MOST LIKELY TO OCCUR WHEN +C ONE COMPONENT (IN ABSOLUTE VALUE) IS LARGER THAN THE OTHER BY +C SEVERAL ORDERS OF MAGNITUDE. IF ONE COMPONENT IS 10**K LARGER +C THAN THE OTHER, THEN ONE CAN EXPECT ONLY MAX(ABS(LOG10(P))-K, +C 0) SIGNIFICANT DIGITS; OR, STATED ANOTHER WAY, WHEN K EXCEEDS +C THE EXPONENT OF P, NO SIGNIFICANT DIGITS REMAIN IN THE SMALLER +C COMPONENT. HOWEVER, THE PHASE ANGLE RETAINS ABSOLUTE ACCURACY +C BECAUSE, IN COMPLEX ARITHMETIC WITH PRECISION P, THE SMALLER +C COMPONENT WILL NOT (AS A RULE) DECREASE BELOW P TIMES THE +C MAGNITUDE OF THE LARGER COMPONENT. IN THESE EXTREME CASES, +C THE PRINCIPAL PHASE ANGLE IS ON THE ORDER OF +P, -P, PI/2-P, +C OR -PI/2+P. +C +C***REFERENCES HANDBOOK OF MATHEMATICAL FUNCTIONS BY M. ABRAMOWITZ +C AND I. A. STEGUN, NBS AMS SERIES 55, U.S. DEPT. OF +C COMMERCE, 1955. +C +C COMPUTATION OF BESSEL FUNCTIONS OF COMPLEX ARGUMENT +C BY D. E. AMOS, SAND83-0083, MAY, 1983. +C +C COMPUTATION OF BESSEL FUNCTIONS OF COMPLEX ARGUMENT +C AND LARGE ORDER BY D. E. AMOS, SAND83-0643, MAY, 1983 +C +C A SUBROUTINE PACKAGE FOR BESSEL FUNCTIONS OF A COMPLEX +C ARGUMENT AND NONNEGATIVE ORDER BY D. E. AMOS, SAND85- +C 1018, MAY, 1985 +C +C A PORTABLE PACKAGE FOR BESSEL FUNCTIONS OF A COMPLEX +C ARGUMENT AND NONNEGATIVE ORDER BY D. E. AMOS, TRANS. +C MATH. SOFTWARE, 1986 +C +C***ROUTINES CALLED ZBINU,I1MACH,D1MACH +C***END PROLOGUE ZBESJ +C +C COMPLEX CI,CSGN,CY,Z,ZN + DOUBLE PRECISION AA, ALIM, ARG, CII, CSGNI, CSGNR, CYI, CYR, DIG, + * ELIM, FNU, FNUL, HPI, RL, R1M5, STR, TOL, ZI, ZNI, ZNR, ZR, + * D1MACH, BB, FN, AZ, ZABS, ASCLE, RTOL, ATOL, STI + INTEGER I, IERR, INU, INUH, IR, K, KODE, K1, K2, N, NL, NZ, I1MACH + DIMENSION CYR(N), CYI(N) + DATA HPI /1.57079632679489662D0/ +C +C***FIRST EXECUTABLE STATEMENT ZBESJ + IERR = 0 + NZ=0 + IF (FNU.LT.0.0D0) IERR=1 + IF (KODE.LT.1 .OR. KODE.GT.2) IERR=1 + IF (N.LT.1) IERR=1 + IF (IERR.NE.0) RETURN +C----------------------------------------------------------------------- +C SET PARAMETERS RELATED TO MACHINE CONSTANTS. +C TOL IS THE APPROXIMATE UNIT ROUNDOFF LIMITED TO 1.0E-18. +C ELIM IS THE APPROXIMATE EXPONENTIAL OVER- AND UNDERFLOW LIMIT. +C EXP(-ELIM).LT.EXP(-ALIM)=EXP(-ELIM)/TOL AND +C EXP(ELIM).GT.EXP(ALIM)=EXP(ELIM)*TOL ARE INTERVALS NEAR +C UNDERFLOW AND OVERFLOW LIMITS WHERE SCALED ARITHMETIC IS DONE. +C RL IS THE LOWER BOUNDARY OF THE ASYMPTOTIC EXPANSION FOR LARGE Z. +C DIG = NUMBER OF BASE 10 DIGITS IN TOL = 10**(-DIG). +C FNUL IS THE LOWER BOUNDARY OF THE ASYMPTOTIC SERIES FOR LARGE FNU. +C----------------------------------------------------------------------- + TOL = DMAX1(D1MACH(4),1.0D-18) + K1 = I1MACH(15) + K2 = I1MACH(16) + R1M5 = D1MACH(5) + K = MIN0(IABS(K1),IABS(K2)) + ELIM = 2.303D0*(DBLE(FLOAT(K))*R1M5-3.0D0) + K1 = I1MACH(14) - 1 + AA = R1M5*DBLE(FLOAT(K1)) + DIG = DMIN1(AA,18.0D0) + AA = AA*2.303D0 + ALIM = ELIM + DMAX1(-AA,-41.45D0) + RL = 1.2D0*DIG + 3.0D0 + FNUL = 10.0D0 + 6.0D0*(DIG-3.0D0) +C----------------------------------------------------------------------- +C TEST FOR PROPER RANGE +C----------------------------------------------------------------------- + AZ = ZABS(COMPLEX(ZR,ZI)) + FN = FNU+DBLE(FLOAT(N-1)) + AA = 0.5D0/TOL + BB=DBLE(FLOAT(I1MACH(9)))*0.5D0 + AA = DMIN1(AA,BB) + IF (AZ.GT.AA) GO TO 260 + IF (FN.GT.AA) GO TO 260 + AA = DSQRT(AA) + IF (AZ.GT.AA) IERR=3 + IF (FN.GT.AA) IERR=3 +C----------------------------------------------------------------------- +C CALCULATE CSGN=EXP(FNU*HPI*I) TO MINIMIZE LOSSES OF SIGNIFICANCE +C WHEN FNU IS LARGE +C----------------------------------------------------------------------- + CII = 1.0D0 + INU = INT(SNGL(FNU)) + INUH = INU/2 + IR = INU - 2*INUH + ARG = (FNU-DBLE(FLOAT(INU-IR)))*HPI + CSGNR = DCOS(ARG) + CSGNI = DSIN(ARG) + IF (MOD(INUH,2).EQ.0) GO TO 40 + CSGNR = -CSGNR + CSGNI = -CSGNI + 40 CONTINUE +C----------------------------------------------------------------------- +C ZN IS IN THE RIGHT HALF PLANE +C----------------------------------------------------------------------- + ZNR = ZI + ZNI = -ZR + IF (ZI.GE.0.0D0) GO TO 50 + ZNR = -ZNR + ZNI = -ZNI + CSGNI = -CSGNI + CII = -CII + 50 CONTINUE + CALL ZBINU(ZNR, ZNI, FNU, KODE, N, CYR, CYI, NZ, RL, FNUL, TOL, + * ELIM, ALIM) + IF (NZ.LT.0) GO TO 130 + NL = N - NZ + IF (NL.EQ.0) RETURN + RTOL = 1.0D0/TOL + ASCLE = D1MACH(1)*RTOL*1.0D+3 + DO 60 I=1,NL +C STR = CYR(I)*CSGNR - CYI(I)*CSGNI +C CYI(I) = CYR(I)*CSGNI + CYI(I)*CSGNR +C CYR(I) = STR + AA = CYR(I) + BB = CYI(I) + ATOL = 1.0D0 + IF (DMAX1(DABS(AA),DABS(BB)).GT.ASCLE) GO TO 55 + AA = AA*RTOL + BB = BB*RTOL + ATOL = TOL + 55 CONTINUE + STR = AA*CSGNR - BB*CSGNI + STI = AA*CSGNI + BB*CSGNR + CYR(I) = STR*ATOL + CYI(I) = STI*ATOL + STR = -CSGNI*CII + CSGNI = CSGNR*CII + CSGNR = STR + 60 CONTINUE + RETURN + 130 CONTINUE + IF(NZ.EQ.(-2)) GO TO 140 + NZ = 0 + IERR = 2 + RETURN + 140 CONTINUE + NZ=0 + IERR=5 + RETURN + 260 CONTINUE + NZ=0 + IERR=4 + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zbesk.f julia-0.2.1~quantal7/deps/openspecfun/amos/zbesk.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zbesk.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zbesk.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,281 @@ + SUBROUTINE ZBESK(ZR, ZI, FNU, KODE, N, CYR, CYI, NZ, IERR) +C***BEGIN PROLOGUE ZBESK +C***DATE WRITTEN 830501 (YYMMDD) +C***REVISION DATE 890801 (YYMMDD) +C***CATEGORY NO. B5K +C***KEYWORDS K-BESSEL FUNCTION,COMPLEX BESSEL FUNCTION, +C MODIFIED BESSEL FUNCTION OF THE SECOND KIND, +C BESSEL FUNCTION OF THE THIRD KIND +C***AUTHOR AMOS, DONALD E., SANDIA NATIONAL LABORATORIES +C***PURPOSE TO COMPUTE K-BESSEL FUNCTIONS OF COMPLEX ARGUMENT +C***DESCRIPTION +C +C ***A DOUBLE PRECISION ROUTINE*** +C +C ON KODE=1, CBESK COMPUTES AN N MEMBER SEQUENCE OF COMPLEX +C BESSEL FUNCTIONS CY(J)=K(FNU+J-1,Z) FOR REAL, NONNEGATIVE +C ORDERS FNU+J-1, J=1,...,N AND COMPLEX Z.NE.CMPLX(0.0,0.0) +C IN THE CUT PLANE -PI.LT.ARG(Z).LE.PI. ON KODE=2, CBESK +C RETURNS THE SCALED K FUNCTIONS, +C +C CY(J)=EXP(Z)*K(FNU+J-1,Z) , J=1,...,N, +C +C WHICH REMOVE THE EXPONENTIAL BEHAVIOR IN BOTH THE LEFT AND +C RIGHT HALF PLANES FOR Z TO INFINITY. DEFINITIONS AND +C NOTATION ARE FOUND IN THE NBS HANDBOOK OF MATHEMATICAL +C FUNCTIONS (REF. 1). +C +C INPUT ZR,ZI,FNU ARE DOUBLE PRECISION +C ZR,ZI - Z=CMPLX(ZR,ZI), Z.NE.CMPLX(0.0D0,0.0D0), +C -PI.LT.ARG(Z).LE.PI +C FNU - ORDER OF INITIAL K FUNCTION, FNU.GE.0.0D0 +C N - NUMBER OF MEMBERS OF THE SEQUENCE, N.GE.1 +C KODE - A PARAMETER TO INDICATE THE SCALING OPTION +C KODE= 1 RETURNS +C CY(I)=K(FNU+I-1,Z), I=1,...,N +C = 2 RETURNS +C CY(I)=K(FNU+I-1,Z)*EXP(Z), I=1,...,N +C +C OUTPUT CYR,CYI ARE DOUBLE PRECISION +C CYR,CYI- DOUBLE PRECISION VECTORS WHOSE FIRST N COMPONENTS +C CONTAIN REAL AND IMAGINARY PARTS FOR THE SEQUENCE +C CY(I)=K(FNU+I-1,Z), I=1,...,N OR +C CY(I)=K(FNU+I-1,Z)*EXP(Z), I=1,...,N +C DEPENDING ON KODE +C NZ - NUMBER OF COMPONENTS SET TO ZERO DUE TO UNDERFLOW. +C NZ= 0 , NORMAL RETURN +C NZ.GT.0 , FIRST NZ COMPONENTS OF CY SET TO ZERO DUE +C TO UNDERFLOW, CY(I)=CMPLX(0.0D0,0.0D0), +C I=1,...,N WHEN X.GE.0.0. WHEN X.LT.0.0 +C NZ STATES ONLY THE NUMBER OF UNDERFLOWS +C IN THE SEQUENCE. +C +C IERR - ERROR FLAG +C IERR=0, NORMAL RETURN - COMPUTATION COMPLETED +C IERR=1, INPUT ERROR - NO COMPUTATION +C IERR=2, OVERFLOW - NO COMPUTATION, FNU IS +C TOO LARGE OR CABS(Z) IS TOO SMALL OR BOTH +C IERR=3, CABS(Z) OR FNU+N-1 LARGE - COMPUTATION DONE +C BUT LOSSES OF SIGNIFCANCE BY ARGUMENT +C REDUCTION PRODUCE LESS THAN HALF OF MACHINE +C ACCURACY +C IERR=4, CABS(Z) OR FNU+N-1 TOO LARGE - NO COMPUTA- +C TION BECAUSE OF COMPLETE LOSSES OF SIGNIFI- +C CANCE BY ARGUMENT REDUCTION +C IERR=5, ERROR - NO COMPUTATION, +C ALGORITHM TERMINATION CONDITION NOT MET +C +C***LONG DESCRIPTION +C +C EQUATIONS OF THE REFERENCE ARE IMPLEMENTED FOR SMALL ORDERS +C DNU AND DNU+1.0 IN THE RIGHT HALF PLANE X.GE.0.0. FORWARD +C RECURRENCE GENERATES HIGHER ORDERS. K IS CONTINUED TO THE LEFT +C HALF PLANE BY THE RELATION +C +C K(FNU,Z*EXP(MP)) = EXP(-MP*FNU)*K(FNU,Z)-MP*I(FNU,Z) +C MP=MR*PI*I, MR=+1 OR -1, RE(Z).GT.0, I**2=-1 +C +C WHERE I(FNU,Z) IS THE I BESSEL FUNCTION. +C +C FOR LARGE ORDERS, FNU.GT.FNUL, THE K FUNCTION IS COMPUTED +C BY MEANS OF ITS UNIFORM ASYMPTOTIC EXPANSIONS. +C +C FOR NEGATIVE ORDERS, THE FORMULA +C +C K(-FNU,Z) = K(FNU,Z) +C +C CAN BE USED. +C +C CBESK ASSUMES THAT A SIGNIFICANT DIGIT SINH(X) FUNCTION IS +C AVAILABLE. +C +C IN MOST COMPLEX VARIABLE COMPUTATION, ONE MUST EVALUATE ELE- +C MENTARY FUNCTIONS. WHEN THE MAGNITUDE OF Z OR FNU+N-1 IS +C LARGE, LOSSES OF SIGNIFICANCE BY ARGUMENT REDUCTION OCCUR. +C CONSEQUENTLY, IF EITHER ONE EXCEEDS U1=SQRT(0.5/UR), THEN +C LOSSES EXCEEDING HALF PRECISION ARE LIKELY AND AN ERROR FLAG +C IERR=3 IS TRIGGERED WHERE UR=DMAX1(D1MACH(4),1.0D-18) IS +C DOUBLE PRECISION UNIT ROUNDOFF LIMITED TO 18 DIGITS PRECISION. +C IF EITHER IS LARGER THAN U2=0.5/UR, THEN ALL SIGNIFICANCE IS +C LOST AND IERR=4. IN ORDER TO USE THE INT FUNCTION, ARGUMENTS +C MUST BE FURTHER RESTRICTED NOT TO EXCEED THE LARGEST MACHINE +C INTEGER, U3=I1MACH(9). THUS, THE MAGNITUDE OF Z AND FNU+N-1 IS +C RESTRICTED BY MIN(U2,U3). ON 32 BIT MACHINES, U1,U2, AND U3 +C ARE APPROXIMATELY 2.0E+3, 4.2E+6, 2.1E+9 IN SINGLE PRECISION +C ARITHMETIC AND 1.3E+8, 1.8E+16, 2.1E+9 IN DOUBLE PRECISION +C ARITHMETIC RESPECTIVELY. THIS MAKES U2 AND U3 LIMITING IN +C THEIR RESPECTIVE ARITHMETICS. THIS MEANS THAT ONE CAN EXPECT +C TO RETAIN, IN THE WORST CASES ON 32 BIT MACHINES, NO DIGITS +C IN SINGLE AND ONLY 7 DIGITS IN DOUBLE PRECISION ARITHMETIC. +C SIMILAR CONSIDERATIONS HOLD FOR OTHER MACHINES. +C +C THE APPROXIMATE RELATIVE ERROR IN THE MAGNITUDE OF A COMPLEX +C BESSEL FUNCTION CAN BE EXPRESSED BY P*10**S WHERE P=MAX(UNIT +C ROUNDOFF,1.0E-18) IS THE NOMINAL PRECISION AND 10**S REPRE- +C SENTS THE INCREASE IN ERROR DUE TO ARGUMENT REDUCTION IN THE +C ELEMENTARY FUNCTIONS. HERE, S=MAX(1,ABS(LOG10(CABS(Z))), +C ABS(LOG10(FNU))) APPROXIMATELY (I.E. S=MAX(1,ABS(EXPONENT OF +C CABS(Z),ABS(EXPONENT OF FNU)) ). HOWEVER, THE PHASE ANGLE MAY +C HAVE ONLY ABSOLUTE ACCURACY. THIS IS MOST LIKELY TO OCCUR WHEN +C ONE COMPONENT (IN ABSOLUTE VALUE) IS LARGER THAN THE OTHER BY +C SEVERAL ORDERS OF MAGNITUDE. IF ONE COMPONENT IS 10**K LARGER +C THAN THE OTHER, THEN ONE CAN EXPECT ONLY MAX(ABS(LOG10(P))-K, +C 0) SIGNIFICANT DIGITS; OR, STATED ANOTHER WAY, WHEN K EXCEEDS +C THE EXPONENT OF P, NO SIGNIFICANT DIGITS REMAIN IN THE SMALLER +C COMPONENT. HOWEVER, THE PHASE ANGLE RETAINS ABSOLUTE ACCURACY +C BECAUSE, IN COMPLEX ARITHMETIC WITH PRECISION P, THE SMALLER +C COMPONENT WILL NOT (AS A RULE) DECREASE BELOW P TIMES THE +C MAGNITUDE OF THE LARGER COMPONENT. IN THESE EXTREME CASES, +C THE PRINCIPAL PHASE ANGLE IS ON THE ORDER OF +P, -P, PI/2-P, +C OR -PI/2+P. +C +C***REFERENCES HANDBOOK OF MATHEMATICAL FUNCTIONS BY M. ABRAMOWITZ +C AND I. A. STEGUN, NBS AMS SERIES 55, U.S. DEPT. OF +C COMMERCE, 1955. +C +C COMPUTATION OF BESSEL FUNCTIONS OF COMPLEX ARGUMENT +C BY D. E. AMOS, SAND83-0083, MAY, 1983. +C +C COMPUTATION OF BESSEL FUNCTIONS OF COMPLEX ARGUMENT +C AND LARGE ORDER BY D. E. AMOS, SAND83-0643, MAY, 1983. +C +C A SUBROUTINE PACKAGE FOR BESSEL FUNCTIONS OF A COMPLEX +C ARGUMENT AND NONNEGATIVE ORDER BY D. E. AMOS, SAND85- +C 1018, MAY, 1985 +C +C A PORTABLE PACKAGE FOR BESSEL FUNCTIONS OF A COMPLEX +C ARGUMENT AND NONNEGATIVE ORDER BY D. E. AMOS, TRANS. +C MATH. SOFTWARE, 1986 +C +C***ROUTINES CALLED ZACON,ZBKNU,ZBUNK,ZUOIK,ZABS,I1MACH,D1MACH +C***END PROLOGUE ZBESK +C +C COMPLEX CY,Z + DOUBLE PRECISION AA, ALIM, ALN, ARG, AZ, CYI, CYR, DIG, ELIM, FN, + * FNU, FNUL, RL, R1M5, TOL, UFL, ZI, ZR, D1MACH, ZABS, BB + INTEGER IERR, K, KODE, K1, K2, MR, N, NN, NUF, NW, NZ, I1MACH + DIMENSION CYR(N), CYI(N) +C***FIRST EXECUTABLE STATEMENT ZBESK + IERR = 0 + NZ=0 + IF (ZI.EQ.0.0E0 .AND. ZR.EQ.0.0E0) IERR=1 + IF (FNU.LT.0.0D0) IERR=1 + IF (KODE.LT.1 .OR. KODE.GT.2) IERR=1 + IF (N.LT.1) IERR=1 + IF (IERR.NE.0) RETURN + NN = N +C----------------------------------------------------------------------- +C SET PARAMETERS RELATED TO MACHINE CONSTANTS. +C TOL IS THE APPROXIMATE UNIT ROUNDOFF LIMITED TO 1.0E-18. +C ELIM IS THE APPROXIMATE EXPONENTIAL OVER- AND UNDERFLOW LIMIT. +C EXP(-ELIM).LT.EXP(-ALIM)=EXP(-ELIM)/TOL AND +C EXP(ELIM).GT.EXP(ALIM)=EXP(ELIM)*TOL ARE INTERVALS NEAR +C UNDERFLOW AND OVERFLOW LIMITS WHERE SCALED ARITHMETIC IS DONE. +C RL IS THE LOWER BOUNDARY OF THE ASYMPTOTIC EXPANSION FOR LARGE Z. +C DIG = NUMBER OF BASE 10 DIGITS IN TOL = 10**(-DIG). +C FNUL IS THE LOWER BOUNDARY OF THE ASYMPTOTIC SERIES FOR LARGE FNU +C----------------------------------------------------------------------- + TOL = DMAX1(D1MACH(4),1.0D-18) + K1 = I1MACH(15) + K2 = I1MACH(16) + R1M5 = D1MACH(5) + K = MIN0(IABS(K1),IABS(K2)) + ELIM = 2.303D0*(DBLE(FLOAT(K))*R1M5-3.0D0) + K1 = I1MACH(14) - 1 + AA = R1M5*DBLE(FLOAT(K1)) + DIG = DMIN1(AA,18.0D0) + AA = AA*2.303D0 + ALIM = ELIM + DMAX1(-AA,-41.45D0) + FNUL = 10.0D0 + 6.0D0*(DIG-3.0D0) + RL = 1.2D0*DIG + 3.0D0 +C----------------------------------------------------------------------------- +C TEST FOR PROPER RANGE +C----------------------------------------------------------------------- + AZ = ZABS(COMPLEX(ZR,ZI)) + FN = FNU + DBLE(FLOAT(NN-1)) + AA = 0.5D0/TOL + BB=DBLE(FLOAT(I1MACH(9)))*0.5D0 + AA = DMIN1(AA,BB) + IF (AZ.GT.AA) GO TO 260 + IF (FN.GT.AA) GO TO 260 + AA = DSQRT(AA) + IF (AZ.GT.AA) IERR=3 + IF (FN.GT.AA) IERR=3 +C----------------------------------------------------------------------- +C OVERFLOW TEST ON THE LAST MEMBER OF THE SEQUENCE +C----------------------------------------------------------------------- +C UFL = DEXP(-ELIM) + UFL = D1MACH(1)*1.0D+3 + IF (AZ.LT.UFL) GO TO 180 + IF (FNU.GT.FNUL) GO TO 80 + IF (FN.LE.1.0D0) GO TO 60 + IF (FN.GT.2.0D0) GO TO 50 + IF (AZ.GT.TOL) GO TO 60 + ARG = 0.5D0*AZ + ALN = -FN*DLOG(ARG) + IF (ALN.GT.ELIM) GO TO 180 + GO TO 60 + 50 CONTINUE + CALL ZUOIK(ZR, ZI, FNU, KODE, 2, NN, CYR, CYI, NUF, TOL, ELIM, + * ALIM) + IF (NUF.LT.0) GO TO 180 + NZ = NZ + NUF + NN = NN - NUF +C----------------------------------------------------------------------- +C HERE NN=N OR NN=0 SINCE NUF=0,NN, OR -1 ON RETURN FROM CUOIK +C IF NUF=NN, THEN CY(I)=CZERO FOR ALL I +C----------------------------------------------------------------------- + IF (NN.EQ.0) GO TO 100 + 60 CONTINUE + IF (ZR.LT.0.0D0) GO TO 70 +C----------------------------------------------------------------------- +C RIGHT HALF PLANE COMPUTATION, REAL(Z).GE.0. +C----------------------------------------------------------------------- + CALL ZBKNU(ZR, ZI, FNU, KODE, NN, CYR, CYI, NW, TOL, ELIM, ALIM) + IF (NW.LT.0) GO TO 200 + NZ=NW + RETURN +C----------------------------------------------------------------------- +C LEFT HALF PLANE COMPUTATION +C PI/2.LT.ARG(Z).LE.PI AND -PI.LT.ARG(Z).LT.-PI/2. +C----------------------------------------------------------------------- + 70 CONTINUE + IF (NZ.NE.0) GO TO 180 + MR = 1 + IF (ZI.LT.0.0D0) MR = -1 + CALL ZACON(ZR, ZI, FNU, KODE, MR, NN, CYR, CYI, NW, RL, FNUL, + * TOL, ELIM, ALIM) + IF (NW.LT.0) GO TO 200 + NZ=NW + RETURN +C----------------------------------------------------------------------- +C UNIFORM ASYMPTOTIC EXPANSIONS FOR FNU.GT.FNUL +C----------------------------------------------------------------------- + 80 CONTINUE + MR = 0 + IF (ZR.GE.0.0D0) GO TO 90 + MR = 1 + IF (ZI.LT.0.0D0) MR = -1 + 90 CONTINUE + CALL ZBUNK(ZR, ZI, FNU, KODE, MR, NN, CYR, CYI, NW, TOL, ELIM, + * ALIM) + IF (NW.LT.0) GO TO 200 + NZ = NZ + NW + RETURN + 100 CONTINUE + IF (ZR.LT.0.0D0) GO TO 180 + RETURN + 180 CONTINUE + NZ = 0 + IERR=2 + RETURN + 200 CONTINUE + IF(NW.EQ.(-1)) GO TO 180 + NZ=0 + IERR=5 + RETURN + 260 CONTINUE + NZ=0 + IERR=4 + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zbesy.f julia-0.2.1~quantal7/deps/openspecfun/amos/zbesy.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zbesy.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zbesy.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,244 @@ + SUBROUTINE ZBESY(ZR, ZI, FNU, KODE, N, CYR, CYI, NZ, CWRKR, CWRKI, + * IERR) +C***BEGIN PROLOGUE ZBESY +C***DATE WRITTEN 830501 (YYMMDD) +C***REVISION DATE 890801 (YYMMDD) +C***CATEGORY NO. B5K +C***KEYWORDS Y-BESSEL FUNCTION,BESSEL FUNCTION OF COMPLEX ARGUMENT, +C BESSEL FUNCTION OF SECOND KIND +C***AUTHOR AMOS, DONALD E., SANDIA NATIONAL LABORATORIES +C***PURPOSE TO COMPUTE THE Y-BESSEL FUNCTION OF A COMPLEX ARGUMENT +C***DESCRIPTION +C +C ***A DOUBLE PRECISION ROUTINE*** +C +C ON KODE=1, CBESY COMPUTES AN N MEMBER SEQUENCE OF COMPLEX +C BESSEL FUNCTIONS CY(I)=Y(FNU+I-1,Z) FOR REAL, NONNEGATIVE +C ORDERS FNU+I-1, I=1,...,N AND COMPLEX Z IN THE CUT PLANE +C -PI.LT.ARG(Z).LE.PI. ON KODE=2, CBESY RETURNS THE SCALED +C FUNCTIONS +C +C CY(I)=EXP(-ABS(Y))*Y(FNU+I-1,Z) I = 1,...,N , Y=AIMAG(Z) +C +C WHICH REMOVE THE EXPONENTIAL GROWTH IN BOTH THE UPPER AND +C LOWER HALF PLANES FOR Z TO INFINITY. DEFINITIONS AND NOTATION +C ARE FOUND IN THE NBS HANDBOOK OF MATHEMATICAL FUNCTIONS +C (REF. 1). +C +C INPUT ZR,ZI,FNU ARE DOUBLE PRECISION +C ZR,ZI - Z=CMPLX(ZR,ZI), Z.NE.CMPLX(0.0D0,0.0D0), +C -PI.LT.ARG(Z).LE.PI +C FNU - ORDER OF INITIAL Y FUNCTION, FNU.GE.0.0D0 +C KODE - A PARAMETER TO INDICATE THE SCALING OPTION +C KODE= 1 RETURNS +C CY(I)=Y(FNU+I-1,Z), I=1,...,N +C = 2 RETURNS +C CY(I)=Y(FNU+I-1,Z)*EXP(-ABS(Y)), I=1,...,N +C WHERE Y=AIMAG(Z) +C N - NUMBER OF MEMBERS OF THE SEQUENCE, N.GE.1 +C CWRKR, - DOUBLE PRECISION WORK VECTORS OF DIMENSION AT +C CWRKI AT LEAST N +C +C OUTPUT CYR,CYI ARE DOUBLE PRECISION +C CYR,CYI- DOUBLE PRECISION VECTORS WHOSE FIRST N COMPONENTS +C CONTAIN REAL AND IMAGINARY PARTS FOR THE SEQUENCE +C CY(I)=Y(FNU+I-1,Z) OR +C CY(I)=Y(FNU+I-1,Z)*EXP(-ABS(Y)) I=1,...,N +C DEPENDING ON KODE. +C NZ - NZ=0 , A NORMAL RETURN +C NZ.GT.0 , NZ COMPONENTS OF CY SET TO ZERO DUE TO +C UNDERFLOW (GENERALLY ON KODE=2) +C IERR - ERROR FLAG +C IERR=0, NORMAL RETURN - COMPUTATION COMPLETED +C IERR=1, INPUT ERROR - NO COMPUTATION +C IERR=2, OVERFLOW - NO COMPUTATION, FNU IS +C TOO LARGE OR CABS(Z) IS TOO SMALL OR BOTH +C IERR=3, CABS(Z) OR FNU+N-1 LARGE - COMPUTATION DONE +C BUT LOSSES OF SIGNIFCANCE BY ARGUMENT +C REDUCTION PRODUCE LESS THAN HALF OF MACHINE +C ACCURACY +C IERR=4, CABS(Z) OR FNU+N-1 TOO LARGE - NO COMPUTA- +C TION BECAUSE OF COMPLETE LOSSES OF SIGNIFI- +C CANCE BY ARGUMENT REDUCTION +C IERR=5, ERROR - NO COMPUTATION, +C ALGORITHM TERMINATION CONDITION NOT MET +C +C***LONG DESCRIPTION +C +C THE COMPUTATION IS CARRIED OUT BY THE FORMULA +C +C Y(FNU,Z)=0.5*(H(1,FNU,Z)-H(2,FNU,Z))/I +C +C WHERE I**2 = -1 AND THE HANKEL BESSEL FUNCTIONS H(1,FNU,Z) +C AND H(2,FNU,Z) ARE CALCULATED IN CBESH. +C +C FOR NEGATIVE ORDERS,THE FORMULA +C +C Y(-FNU,Z) = Y(FNU,Z)*COS(PI*FNU) + J(FNU,Z)*SIN(PI*FNU) +C +C CAN BE USED. HOWEVER,FOR LARGE ORDERS CLOSE TO HALF ODD +C INTEGERS THE FUNCTION CHANGES RADICALLY. WHEN FNU IS A LARGE +C POSITIVE HALF ODD INTEGER,THE MAGNITUDE OF Y(-FNU,Z)=J(FNU,Z)* +C SIN(PI*FNU) IS A LARGE NEGATIVE POWER OF TEN. BUT WHEN FNU IS +C NOT A HALF ODD INTEGER, Y(FNU,Z) DOMINATES IN MAGNITUDE WITH A +C LARGE POSITIVE POWER OF TEN AND THE MOST THAT THE SECOND TERM +C CAN BE REDUCED IS BY UNIT ROUNDOFF FROM THE COEFFICIENT. THUS, +C WIDE CHANGES CAN OCCUR WITHIN UNIT ROUNDOFF OF A LARGE HALF +C ODD INTEGER. HERE, LARGE MEANS FNU.GT.CABS(Z). +C +C IN MOST COMPLEX VARIABLE COMPUTATION, ONE MUST EVALUATE ELE- +C MENTARY FUNCTIONS. WHEN THE MAGNITUDE OF Z OR FNU+N-1 IS +C LARGE, LOSSES OF SIGNIFICANCE BY ARGUMENT REDUCTION OCCUR. +C CONSEQUENTLY, IF EITHER ONE EXCEEDS U1=SQRT(0.5/UR), THEN +C LOSSES EXCEEDING HALF PRECISION ARE LIKELY AND AN ERROR FLAG +C IERR=3 IS TRIGGERED WHERE UR=DMAX1(D1MACH(4),1.0D-18) IS +C DOUBLE PRECISION UNIT ROUNDOFF LIMITED TO 18 DIGITS PRECISION. +C IF EITHER IS LARGER THAN U2=0.5/UR, THEN ALL SIGNIFICANCE IS +C LOST AND IERR=4. IN ORDER TO USE THE INT FUNCTION, ARGUMENTS +C MUST BE FURTHER RESTRICTED NOT TO EXCEED THE LARGEST MACHINE +C INTEGER, U3=I1MACH(9). THUS, THE MAGNITUDE OF Z AND FNU+N-1 IS +C RESTRICTED BY MIN(U2,U3). ON 32 BIT MACHINES, U1,U2, AND U3 +C ARE APPROXIMATELY 2.0E+3, 4.2E+6, 2.1E+9 IN SINGLE PRECISION +C ARITHMETIC AND 1.3E+8, 1.8E+16, 2.1E+9 IN DOUBLE PRECISION +C ARITHMETIC RESPECTIVELY. THIS MAKES U2 AND U3 LIMITING IN +C THEIR RESPECTIVE ARITHMETICS. THIS MEANS THAT ONE CAN EXPECT +C TO RETAIN, IN THE WORST CASES ON 32 BIT MACHINES, NO DIGITS +C IN SINGLE AND ONLY 7 DIGITS IN DOUBLE PRECISION ARITHMETIC. +C SIMILAR CONSIDERATIONS HOLD FOR OTHER MACHINES. +C +C THE APPROXIMATE RELATIVE ERROR IN THE MAGNITUDE OF A COMPLEX +C BESSEL FUNCTION CAN BE EXPRESSED BY P*10**S WHERE P=MAX(UNIT +C ROUNDOFF,1.0E-18) IS THE NOMINAL PRECISION AND 10**S REPRE- +C SENTS THE INCREASE IN ERROR DUE TO ARGUMENT REDUCTION IN THE +C ELEMENTARY FUNCTIONS. HERE, S=MAX(1,ABS(LOG10(CABS(Z))), +C ABS(LOG10(FNU))) APPROXIMATELY (I.E. S=MAX(1,ABS(EXPONENT OF +C CABS(Z),ABS(EXPONENT OF FNU)) ). HOWEVER, THE PHASE ANGLE MAY +C HAVE ONLY ABSOLUTE ACCURACY. THIS IS MOST LIKELY TO OCCUR WHEN +C ONE COMPONENT (IN ABSOLUTE VALUE) IS LARGER THAN THE OTHER BY +C SEVERAL ORDERS OF MAGNITUDE. IF ONE COMPONENT IS 10**K LARGER +C THAN THE OTHER, THEN ONE CAN EXPECT ONLY MAX(ABS(LOG10(P))-K, +C 0) SIGNIFICANT DIGITS; OR, STATED ANOTHER WAY, WHEN K EXCEEDS +C THE EXPONENT OF P, NO SIGNIFICANT DIGITS REMAIN IN THE SMALLER +C COMPONENT. HOWEVER, THE PHASE ANGLE RETAINS ABSOLUTE ACCURACY +C BECAUSE, IN COMPLEX ARITHMETIC WITH PRECISION P, THE SMALLER +C COMPONENT WILL NOT (AS A RULE) DECREASE BELOW P TIMES THE +C MAGNITUDE OF THE LARGER COMPONENT. IN THESE EXTREME CASES, +C THE PRINCIPAL PHASE ANGLE IS ON THE ORDER OF +P, -P, PI/2-P, +C OR -PI/2+P. +C +C***REFERENCES HANDBOOK OF MATHEMATICAL FUNCTIONS BY M. ABRAMOWITZ +C AND I. A. STEGUN, NBS AMS SERIES 55, U.S. DEPT. OF +C COMMERCE, 1955. +C +C COMPUTATION OF BESSEL FUNCTIONS OF COMPLEX ARGUMENT +C BY D. E. AMOS, SAND83-0083, MAY, 1983. +C +C COMPUTATION OF BESSEL FUNCTIONS OF COMPLEX ARGUMENT +C AND LARGE ORDER BY D. E. AMOS, SAND83-0643, MAY, 1983 +C +C A SUBROUTINE PACKAGE FOR BESSEL FUNCTIONS OF A COMPLEX +C ARGUMENT AND NONNEGATIVE ORDER BY D. E. AMOS, SAND85- +C 1018, MAY, 1985 +C +C A PORTABLE PACKAGE FOR BESSEL FUNCTIONS OF A COMPLEX +C ARGUMENT AND NONNEGATIVE ORDER BY D. E. AMOS, TRANS. +C MATH. SOFTWARE, 1986 +C +C***ROUTINES CALLED ZBESH,I1MACH,D1MACH +C***END PROLOGUE ZBESY +C +C COMPLEX CWRK,CY,C1,C2,EX,HCI,Z,ZU,ZV + DOUBLE PRECISION CWRKI, CWRKR, CYI, CYR, C1I, C1R, C2I, C2R, + * ELIM, EXI, EXR, EY, FNU, HCII, STI, STR, TAY, ZI, ZR, DEXP, + * D1MACH, ASCLE, RTOL, ATOL, AA, BB, TOL + INTEGER I, IERR, K, KODE, K1, K2, N, NZ, NZ1, NZ2, I1MACH + DIMENSION CYR(N), CYI(N), CWRKR(N), CWRKI(N) +C***FIRST EXECUTABLE STATEMENT ZBESY + IERR = 0 + NZ=0 + IF (ZR.EQ.0.0D0 .AND. ZI.EQ.0.0D0) IERR=1 + IF (FNU.LT.0.0D0) IERR=1 + IF (KODE.LT.1 .OR. KODE.GT.2) IERR=1 + IF (N.LT.1) IERR=1 + IF (IERR.NE.0) RETURN + HCII = 0.5D0 + CALL ZBESH(ZR, ZI, FNU, KODE, 1, N, CYR, CYI, NZ1, IERR) + IF (IERR.NE.0.AND.IERR.NE.3) GO TO 170 + CALL ZBESH(ZR, ZI, FNU, KODE, 2, N, CWRKR, CWRKI, NZ2, IERR) + IF (IERR.NE.0.AND.IERR.NE.3) GO TO 170 + NZ = MIN0(NZ1,NZ2) + IF (KODE.EQ.2) GO TO 60 + DO 50 I=1,N + STR = CWRKR(I) - CYR(I) + STI = CWRKI(I) - CYI(I) + CYR(I) = -STI*HCII + CYI(I) = STR*HCII + 50 CONTINUE + RETURN + 60 CONTINUE + TOL = DMAX1(D1MACH(4),1.0D-18) + K1 = I1MACH(15) + K2 = I1MACH(16) + K = MIN0(IABS(K1),IABS(K2)) + R1M5 = D1MACH(5) +C----------------------------------------------------------------------- +C ELIM IS THE APPROXIMATE EXPONENTIAL UNDER- AND OVERFLOW LIMIT +C----------------------------------------------------------------------- + ELIM = 2.303D0*(DBLE(FLOAT(K))*R1M5-3.0D0) + EXR = DCOS(ZR) + EXI = DSIN(ZR) + EY = 0.0D0 + TAY = DABS(ZI+ZI) + IF (TAY.LT.ELIM) EY = DEXP(-TAY) + IF (ZI.LT.0.0D0) GO TO 90 + C1R = EXR*EY + C1I = EXI*EY + C2R = EXR + C2I = -EXI + 70 CONTINUE + NZ = 0 + RTOL = 1.0D0/TOL + ASCLE = D1MACH(1)*RTOL*1.0D+3 + DO 80 I=1,N +C STR = C1R*CYR(I) - C1I*CYI(I) +C STI = C1R*CYI(I) + C1I*CYR(I) +C STR = -STR + C2R*CWRKR(I) - C2I*CWRKI(I) +C STI = -STI + C2R*CWRKI(I) + C2I*CWRKR(I) +C CYR(I) = -STI*HCII +C CYI(I) = STR*HCII + AA = CWRKR(I) + BB = CWRKI(I) + ATOL = 1.0D0 + IF (DMAX1(DABS(AA),DABS(BB)).GT.ASCLE) GO TO 75 + AA = AA*RTOL + BB = BB*RTOL + ATOL = TOL + 75 CONTINUE + STR = (AA*C2R - BB*C2I)*ATOL + STI = (AA*C2I + BB*C2R)*ATOL + AA = CYR(I) + BB = CYI(I) + ATOL = 1.0D0 + IF (DMAX1(DABS(AA),DABS(BB)).GT.ASCLE) GO TO 85 + AA = AA*RTOL + BB = BB*RTOL + ATOL = TOL + 85 CONTINUE + STR = STR - (AA*C1R - BB*C1I)*ATOL + STI = STI - (AA*C1I + BB*C1R)*ATOL + CYR(I) = -STI*HCII + CYI(I) = STR*HCII + IF (STR.EQ.0.0D0 .AND. STI.EQ.0.0D0 .AND. EY.EQ.0.0D0) NZ = NZ + * + 1 + 80 CONTINUE + RETURN + 90 CONTINUE + C1R = EXR + C1I = EXI + C2R = EXR*EY + C2I = -EXI*EY + GO TO 70 + 170 CONTINUE + NZ = 0 + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zbinu.f julia-0.2.1~quantal7/deps/openspecfun/amos/zbinu.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zbinu.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zbinu.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,110 @@ + SUBROUTINE ZBINU(ZR, ZI, FNU, KODE, N, CYR, CYI, NZ, RL, FNUL, + * TOL, ELIM, ALIM) +C***BEGIN PROLOGUE ZBINU +C***REFER TO ZBESH,ZBESI,ZBESJ,ZBESK,ZAIRY,ZBIRY +C +C ZBINU COMPUTES THE I FUNCTION IN THE RIGHT HALF Z PLANE +C +C***ROUTINES CALLED ZABS,ZASYI,ZBUNI,ZMLRI,ZSERI,ZUOIK,ZWRSK +C***END PROLOGUE ZBINU + DOUBLE PRECISION ALIM, AZ, CWI, CWR, CYI, CYR, DFNU, ELIM, FNU, + * FNUL, RL, TOL, ZEROI, ZEROR, ZI, ZR, ZABS + INTEGER I, INW, KODE, N, NLAST, NN, NUI, NW, NZ + DIMENSION CYR(N), CYI(N), CWR(2), CWI(2) + DATA ZEROR,ZEROI / 0.0D0, 0.0D0 / +C + NZ = 0 + AZ = ZABS(COMPLEX(ZR,ZI)) + NN = N + DFNU = FNU + DBLE(FLOAT(N-1)) + IF (AZ.LE.2.0D0) GO TO 10 + IF (AZ*AZ*0.25D0.GT.DFNU+1.0D0) GO TO 20 + 10 CONTINUE +C----------------------------------------------------------------------- +C POWER SERIES +C----------------------------------------------------------------------- + CALL ZSERI(ZR, ZI, FNU, KODE, NN, CYR, CYI, NW, TOL, ELIM, ALIM) + INW = IABS(NW) + NZ = NZ + INW + NN = NN - INW + IF (NN.EQ.0) RETURN + IF (NW.GE.0) GO TO 120 + DFNU = FNU + DBLE(FLOAT(NN-1)) + 20 CONTINUE + IF (AZ.LT.RL) GO TO 40 + IF (DFNU.LE.1.0D0) GO TO 30 + IF (AZ+AZ.LT.DFNU*DFNU) GO TO 50 +C----------------------------------------------------------------------- +C ASYMPTOTIC EXPANSION FOR LARGE Z +C----------------------------------------------------------------------- + 30 CONTINUE + CALL ZASYI(ZR, ZI, FNU, KODE, NN, CYR, CYI, NW, RL, TOL, ELIM, + * ALIM) + IF (NW.LT.0) GO TO 130 + GO TO 120 + 40 CONTINUE + IF (DFNU.LE.1.0D0) GO TO 70 + 50 CONTINUE +C----------------------------------------------------------------------- +C OVERFLOW AND UNDERFLOW TEST ON I SEQUENCE FOR MILLER ALGORITHM +C----------------------------------------------------------------------- + CALL ZUOIK(ZR, ZI, FNU, KODE, 1, NN, CYR, CYI, NW, TOL, ELIM, + * ALIM) + IF (NW.LT.0) GO TO 130 + NZ = NZ + NW + NN = NN - NW + IF (NN.EQ.0) RETURN + DFNU = FNU+DBLE(FLOAT(NN-1)) + IF (DFNU.GT.FNUL) GO TO 110 + IF (AZ.GT.FNUL) GO TO 110 + 60 CONTINUE + IF (AZ.GT.RL) GO TO 80 + 70 CONTINUE +C----------------------------------------------------------------------- +C MILLER ALGORITHM NORMALIZED BY THE SERIES +C----------------------------------------------------------------------- + CALL ZMLRI(ZR, ZI, FNU, KODE, NN, CYR, CYI, NW, TOL) + IF(NW.LT.0) GO TO 130 + GO TO 120 + 80 CONTINUE +C----------------------------------------------------------------------- +C MILLER ALGORITHM NORMALIZED BY THE WRONSKIAN +C----------------------------------------------------------------------- +C----------------------------------------------------------------------- +C OVERFLOW TEST ON K FUNCTIONS USED IN WRONSKIAN +C----------------------------------------------------------------------- + CALL ZUOIK(ZR, ZI, FNU, KODE, 2, 2, CWR, CWI, NW, TOL, ELIM, + * ALIM) + IF (NW.GE.0) GO TO 100 + NZ = NN + DO 90 I=1,NN + CYR(I) = ZEROR + CYI(I) = ZEROI + 90 CONTINUE + RETURN + 100 CONTINUE + IF (NW.GT.0) GO TO 130 + CALL ZWRSK(ZR, ZI, FNU, KODE, NN, CYR, CYI, NW, CWR, CWI, TOL, + * ELIM, ALIM) + IF (NW.LT.0) GO TO 130 + GO TO 120 + 110 CONTINUE +C----------------------------------------------------------------------- +C INCREMENT FNU+NN-1 UP TO FNUL, COMPUTE AND RECUR BACKWARD +C----------------------------------------------------------------------- + NUI = INT(SNGL(FNUL-DFNU)) + 1 + NUI = MAX0(NUI,0) + CALL ZBUNI(ZR, ZI, FNU, KODE, NN, CYR, CYI, NW, NUI, NLAST, FNUL, + * TOL, ELIM, ALIM) + IF (NW.LT.0) GO TO 130 + NZ = NZ + NW + IF (NLAST.EQ.0) GO TO 120 + NN = NLAST + GO TO 60 + 120 CONTINUE + RETURN + 130 CONTINUE + NZ = -1 + IF(NW.EQ.(-2)) NZ=-2 + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zbiry.f julia-0.2.1~quantal7/deps/openspecfun/amos/zbiry.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zbiry.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zbiry.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,364 @@ + SUBROUTINE ZBIRY(ZR, ZI, ID, KODE, BIR, BII, IERR) +C***BEGIN PROLOGUE ZBIRY +C***DATE WRITTEN 830501 (YYMMDD) +C***REVISION DATE 890801 (YYMMDD) +C***CATEGORY NO. B5K +C***KEYWORDS AIRY FUNCTION,BESSEL FUNCTIONS OF ORDER ONE THIRD +C***AUTHOR AMOS, DONALD E., SANDIA NATIONAL LABORATORIES +C***PURPOSE TO COMPUTE AIRY FUNCTIONS BI(Z) AND DBI(Z) FOR COMPLEX Z +C***DESCRIPTION +C +C ***A DOUBLE PRECISION ROUTINE*** +C ON KODE=1, CBIRY COMPUTES THE COMPLEX AIRY FUNCTION BI(Z) OR +C ITS DERIVATIVE DBI(Z)/DZ ON ID=0 OR ID=1 RESPECTIVELY. ON +C KODE=2, A SCALING OPTION CEXP(-AXZTA)*BI(Z) OR CEXP(-AXZTA)* +C DBI(Z)/DZ IS PROVIDED TO REMOVE THE EXPONENTIAL BEHAVIOR IN +C BOTH THE LEFT AND RIGHT HALF PLANES WHERE +C ZTA=(2/3)*Z*CSQRT(Z)=CMPLX(XZTA,YZTA) AND AXZTA=ABS(XZTA). +C DEFINTIONS AND NOTATION ARE FOUND IN THE NBS HANDBOOK OF +C MATHEMATICAL FUNCTIONS (REF. 1). +C +C INPUT ZR,ZI ARE DOUBLE PRECISION +C ZR,ZI - Z=CMPLX(ZR,ZI) +C ID - ORDER OF DERIVATIVE, ID=0 OR ID=1 +C KODE - A PARAMETER TO INDICATE THE SCALING OPTION +C KODE= 1 RETURNS +C BI=BI(Z) ON ID=0 OR +C BI=DBI(Z)/DZ ON ID=1 +C = 2 RETURNS +C BI=CEXP(-AXZTA)*BI(Z) ON ID=0 OR +C BI=CEXP(-AXZTA)*DBI(Z)/DZ ON ID=1 WHERE +C ZTA=(2/3)*Z*CSQRT(Z)=CMPLX(XZTA,YZTA) +C AND AXZTA=ABS(XZTA) +C +C OUTPUT BIR,BII ARE DOUBLE PRECISION +C BIR,BII- COMPLEX ANSWER DEPENDING ON THE CHOICES FOR ID AND +C KODE +C IERR - ERROR FLAG +C IERR=0, NORMAL RETURN - COMPUTATION COMPLETED +C IERR=1, INPUT ERROR - NO COMPUTATION +C IERR=2, OVERFLOW - NO COMPUTATION, REAL(Z) +C TOO LARGE ON KODE=1 +C IERR=3, CABS(Z) LARGE - COMPUTATION COMPLETED +C LOSSES OF SIGNIFCANCE BY ARGUMENT REDUCTION +C PRODUCE LESS THAN HALF OF MACHINE ACCURACY +C IERR=4, CABS(Z) TOO LARGE - NO COMPUTATION +C COMPLETE LOSS OF ACCURACY BY ARGUMENT +C REDUCTION +C IERR=5, ERROR - NO COMPUTATION, +C ALGORITHM TERMINATION CONDITION NOT MET +C +C***LONG DESCRIPTION +C +C BI AND DBI ARE COMPUTED FOR CABS(Z).GT.1.0 FROM THE I BESSEL +C FUNCTIONS BY +C +C BI(Z)=C*SQRT(Z)*( I(-1/3,ZTA) + I(1/3,ZTA) ) +C DBI(Z)=C * Z * ( I(-2/3,ZTA) + I(2/3,ZTA) ) +C C=1.0/SQRT(3.0) +C ZTA=(2/3)*Z**(3/2) +C +C WITH THE POWER SERIES FOR CABS(Z).LE.1.0. +C +C IN MOST COMPLEX VARIABLE COMPUTATION, ONE MUST EVALUATE ELE- +C MENTARY FUNCTIONS. WHEN THE MAGNITUDE OF Z IS LARGE, LOSSES +C OF SIGNIFICANCE BY ARGUMENT REDUCTION OCCUR. CONSEQUENTLY, IF +C THE MAGNITUDE OF ZETA=(2/3)*Z**1.5 EXCEEDS U1=SQRT(0.5/UR), +C THEN LOSSES EXCEEDING HALF PRECISION ARE LIKELY AND AN ERROR +C FLAG IERR=3 IS TRIGGERED WHERE UR=DMAX1(D1MACH(4),1.0D-18) IS +C DOUBLE PRECISION UNIT ROUNDOFF LIMITED TO 18 DIGITS PRECISION. +C ALSO, IF THE MAGNITUDE OF ZETA IS LARGER THAN U2=0.5/UR, THEN +C ALL SIGNIFICANCE IS LOST AND IERR=4. IN ORDER TO USE THE INT +C FUNCTION, ZETA MUST BE FURTHER RESTRICTED NOT TO EXCEED THE +C LARGEST INTEGER, U3=I1MACH(9). THUS, THE MAGNITUDE OF ZETA +C MUST BE RESTRICTED BY MIN(U2,U3). ON 32 BIT MACHINES, U1,U2, +C AND U3 ARE APPROXIMATELY 2.0E+3, 4.2E+6, 2.1E+9 IN SINGLE +C PRECISION ARITHMETIC AND 1.3E+8, 1.8E+16, 2.1E+9 IN DOUBLE +C PRECISION ARITHMETIC RESPECTIVELY. THIS MAKES U2 AND U3 LIMIT- +C ING IN THEIR RESPECTIVE ARITHMETICS. THIS MEANS THAT THE MAG- +C NITUDE OF Z CANNOT EXCEED 3.1E+4 IN SINGLE AND 2.1E+6 IN +C DOUBLE PRECISION ARITHMETIC. THIS ALSO MEANS THAT ONE CAN +C EXPECT TO RETAIN, IN THE WORST CASES ON 32 BIT MACHINES, +C NO DIGITS IN SINGLE PRECISION AND ONLY 7 DIGITS IN DOUBLE +C PRECISION ARITHMETIC. SIMILAR CONSIDERATIONS HOLD FOR OTHER +C MACHINES. +C +C THE APPROXIMATE RELATIVE ERROR IN THE MAGNITUDE OF A COMPLEX +C BESSEL FUNCTION CAN BE EXPRESSED BY P*10**S WHERE P=MAX(UNIT +C ROUNDOFF,1.0E-18) IS THE NOMINAL PRECISION AND 10**S REPRE- +C SENTS THE INCREASE IN ERROR DUE TO ARGUMENT REDUCTION IN THE +C ELEMENTARY FUNCTIONS. HERE, S=MAX(1,ABS(LOG10(CABS(Z))), +C ABS(LOG10(FNU))) APPROXIMATELY (I.E. S=MAX(1,ABS(EXPONENT OF +C CABS(Z),ABS(EXPONENT OF FNU)) ). HOWEVER, THE PHASE ANGLE MAY +C HAVE ONLY ABSOLUTE ACCURACY. THIS IS MOST LIKELY TO OCCUR WHEN +C ONE COMPONENT (IN ABSOLUTE VALUE) IS LARGER THAN THE OTHER BY +C SEVERAL ORDERS OF MAGNITUDE. IF ONE COMPONENT IS 10**K LARGER +C THAN THE OTHER, THEN ONE CAN EXPECT ONLY MAX(ABS(LOG10(P))-K, +C 0) SIGNIFICANT DIGITS; OR, STATED ANOTHER WAY, WHEN K EXCEEDS +C THE EXPONENT OF P, NO SIGNIFICANT DIGITS REMAIN IN THE SMALLER +C COMPONENT. HOWEVER, THE PHASE ANGLE RETAINS ABSOLUTE ACCURACY +C BECAUSE, IN COMPLEX ARITHMETIC WITH PRECISION P, THE SMALLER +C COMPONENT WILL NOT (AS A RULE) DECREASE BELOW P TIMES THE +C MAGNITUDE OF THE LARGER COMPONENT. IN THESE EXTREME CASES, +C THE PRINCIPAL PHASE ANGLE IS ON THE ORDER OF +P, -P, PI/2-P, +C OR -PI/2+P. +C +C***REFERENCES HANDBOOK OF MATHEMATICAL FUNCTIONS BY M. ABRAMOWITZ +C AND I. A. STEGUN, NBS AMS SERIES 55, U.S. DEPT. OF +C COMMERCE, 1955. +C +C COMPUTATION OF BESSEL FUNCTIONS OF COMPLEX ARGUMENT +C AND LARGE ORDER BY D. E. AMOS, SAND83-0643, MAY, 1983 +C +C A SUBROUTINE PACKAGE FOR BESSEL FUNCTIONS OF A COMPLEX +C ARGUMENT AND NONNEGATIVE ORDER BY D. E. AMOS, SAND85- +C 1018, MAY, 1985 +C +C A PORTABLE PACKAGE FOR BESSEL FUNCTIONS OF A COMPLEX +C ARGUMENT AND NONNEGATIVE ORDER BY D. E. AMOS, TRANS. +C MATH. SOFTWARE, 1986 +C +C***ROUTINES CALLED ZBINU,ZABS,ZDIV,ZSQRT,D1MACH,I1MACH +C***END PROLOGUE ZBIRY +C COMPLEX BI,CONE,CSQ,CY,S1,S2,TRM1,TRM2,Z,ZTA,Z3 + DOUBLE PRECISION AA, AD, AK, ALIM, ATRM, AZ, AZ3, BB, BII, BIR, + * BK, CC, CK, COEF, CONEI, CONER, CSQI, CSQR, CYI, CYR, C1, C2, + * DIG, DK, D1, D2, EAA, ELIM, FID, FMR, FNU, FNUL, PI, RL, R1M5, + * SFAC, STI, STR, S1I, S1R, S2I, S2R, TOL, TRM1I, TRM1R, TRM2I, + * TRM2R, TTH, ZI, ZR, ZTAI, ZTAR, Z3I, Z3R, D1MACH, ZABS + INTEGER ID, IERR, K, KODE, K1, K2, NZ, I1MACH + DIMENSION CYR(2), CYI(2) + DATA TTH, C1, C2, COEF, PI /6.66666666666666667D-01, + * 6.14926627446000736D-01,4.48288357353826359D-01, + * 5.77350269189625765D-01,3.14159265358979324D+00/ + DATA CONER, CONEI /1.0D0,0.0D0/ +C***FIRST EXECUTABLE STATEMENT ZBIRY + IERR = 0 + NZ=0 + IF (ID.LT.0 .OR. ID.GT.1) IERR=1 + IF (KODE.LT.1 .OR. KODE.GT.2) IERR=1 + IF (IERR.NE.0) RETURN + AZ = ZABS(COMPLEX(ZR,ZI)) + TOL = DMAX1(D1MACH(4),1.0D-18) + FID = DBLE(FLOAT(ID)) + IF (AZ.GT.1.0E0) GO TO 70 +C----------------------------------------------------------------------- +C POWER SERIES FOR CABS(Z).LE.1. +C----------------------------------------------------------------------- + S1R = CONER + S1I = CONEI + S2R = CONER + S2I = CONEI + IF (AZ.LT.TOL) GO TO 130 + AA = AZ*AZ + IF (AA.LT.TOL/AZ) GO TO 40 + TRM1R = CONER + TRM1I = CONEI + TRM2R = CONER + TRM2I = CONEI + ATRM = 1.0D0 + STR = ZR*ZR - ZI*ZI + STI = ZR*ZI + ZI*ZR + Z3R = STR*ZR - STI*ZI + Z3I = STR*ZI + STI*ZR + AZ3 = AZ*AA + AK = 2.0D0 + FID + BK = 3.0D0 - FID - FID + CK = 4.0D0 - FID + DK = 3.0D0 + FID + FID + D1 = AK*DK + D2 = BK*CK + AD = DMIN1(D1,D2) + AK = 24.0D0 + 9.0D0*FID + BK = 30.0D0 - 9.0D0*FID + DO 30 K=1,25 + STR = (TRM1R*Z3R-TRM1I*Z3I)/D1 + TRM1I = (TRM1R*Z3I+TRM1I*Z3R)/D1 + TRM1R = STR + S1R = S1R + TRM1R + S1I = S1I + TRM1I + STR = (TRM2R*Z3R-TRM2I*Z3I)/D2 + TRM2I = (TRM2R*Z3I+TRM2I*Z3R)/D2 + TRM2R = STR + S2R = S2R + TRM2R + S2I = S2I + TRM2I + ATRM = ATRM*AZ3/AD + D1 = D1 + AK + D2 = D2 + BK + AD = DMIN1(D1,D2) + IF (ATRM.LT.TOL*AD) GO TO 40 + AK = AK + 18.0D0 + BK = BK + 18.0D0 + 30 CONTINUE + 40 CONTINUE + IF (ID.EQ.1) GO TO 50 + BIR = C1*S1R + C2*(ZR*S2R-ZI*S2I) + BII = C1*S1I + C2*(ZR*S2I+ZI*S2R) + IF (KODE.EQ.1) RETURN + CALL ZSQRT(ZR, ZI, STR, STI) + ZTAR = TTH*(ZR*STR-ZI*STI) + ZTAI = TTH*(ZR*STI+ZI*STR) + AA = ZTAR + AA = -DABS(AA) + EAA = DEXP(AA) + BIR = BIR*EAA + BII = BII*EAA + RETURN + 50 CONTINUE + BIR = S2R*C2 + BII = S2I*C2 + IF (AZ.LE.TOL) GO TO 60 + CC = C1/(1.0D0+FID) + STR = S1R*ZR - S1I*ZI + STI = S1R*ZI + S1I*ZR + BIR = BIR + CC*(STR*ZR-STI*ZI) + BII = BII + CC*(STR*ZI+STI*ZR) + 60 CONTINUE + IF (KODE.EQ.1) RETURN + CALL ZSQRT(ZR, ZI, STR, STI) + ZTAR = TTH*(ZR*STR-ZI*STI) + ZTAI = TTH*(ZR*STI+ZI*STR) + AA = ZTAR + AA = -DABS(AA) + EAA = DEXP(AA) + BIR = BIR*EAA + BII = BII*EAA + RETURN +C----------------------------------------------------------------------- +C CASE FOR CABS(Z).GT.1.0 +C----------------------------------------------------------------------- + 70 CONTINUE + FNU = (1.0D0+FID)/3.0D0 +C----------------------------------------------------------------------- +C SET PARAMETERS RELATED TO MACHINE CONSTANTS. +C TOL IS THE APPROXIMATE UNIT ROUNDOFF LIMITED TO 1.0E-18. +C ELIM IS THE APPROXIMATE EXPONENTIAL OVER- AND UNDERFLOW LIMIT. +C EXP(-ELIM).LT.EXP(-ALIM)=EXP(-ELIM)/TOL AND +C EXP(ELIM).GT.EXP(ALIM)=EXP(ELIM)*TOL ARE INTERVALS NEAR +C UNDERFLOW AND OVERFLOW LIMITS WHERE SCALED ARITHMETIC IS DONE. +C RL IS THE LOWER BOUNDARY OF THE ASYMPTOTIC EXPANSION FOR LARGE Z. +C DIG = NUMBER OF BASE 10 DIGITS IN TOL = 10**(-DIG). +C FNUL IS THE LOWER BOUNDARY OF THE ASYMPTOTIC SERIES FOR LARGE FNU. +C----------------------------------------------------------------------- + K1 = I1MACH(15) + K2 = I1MACH(16) + R1M5 = D1MACH(5) + K = MIN0(IABS(K1),IABS(K2)) + ELIM = 2.303D0*(DBLE(FLOAT(K))*R1M5-3.0D0) + K1 = I1MACH(14) - 1 + AA = R1M5*DBLE(FLOAT(K1)) + DIG = DMIN1(AA,18.0D0) + AA = AA*2.303D0 + ALIM = ELIM + DMAX1(-AA,-41.45D0) + RL = 1.2D0*DIG + 3.0D0 + FNUL = 10.0D0 + 6.0D0*(DIG-3.0D0) +C----------------------------------------------------------------------- +C TEST FOR RANGE +C----------------------------------------------------------------------- + AA=0.5D0/TOL + BB=DBLE(FLOAT(I1MACH(9)))*0.5D0 + AA=DMIN1(AA,BB) + AA=AA**TTH + IF (AZ.GT.AA) GO TO 260 + AA=DSQRT(AA) + IF (AZ.GT.AA) IERR=3 + CALL ZSQRT(ZR, ZI, CSQR, CSQI) + ZTAR = TTH*(ZR*CSQR-ZI*CSQI) + ZTAI = TTH*(ZR*CSQI+ZI*CSQR) +C----------------------------------------------------------------------- +C RE(ZTA).LE.0 WHEN RE(Z).LT.0, ESPECIALLY WHEN IM(Z) IS SMALL +C----------------------------------------------------------------------- + SFAC = 1.0D0 + AK = ZTAI + IF (ZR.GE.0.0D0) GO TO 80 + BK = ZTAR + CK = -DABS(BK) + ZTAR = CK + ZTAI = AK + 80 CONTINUE + IF (ZI.NE.0.0D0 .OR. ZR.GT.0.0D0) GO TO 90 + ZTAR = 0.0D0 + ZTAI = AK + 90 CONTINUE + AA = ZTAR + IF (KODE.EQ.2) GO TO 100 +C----------------------------------------------------------------------- +C OVERFLOW TEST +C----------------------------------------------------------------------- + BB = DABS(AA) + IF (BB.LT.ALIM) GO TO 100 + BB = BB + 0.25D0*DLOG(AZ) + SFAC = TOL + IF (BB.GT.ELIM) GO TO 190 + 100 CONTINUE + FMR = 0.0D0 + IF (AA.GE.0.0D0 .AND. ZR.GT.0.0D0) GO TO 110 + FMR = PI + IF (ZI.LT.0.0D0) FMR = -PI + ZTAR = -ZTAR + ZTAI = -ZTAI + 110 CONTINUE +C----------------------------------------------------------------------- +C AA=FACTOR FOR ANALYTIC CONTINUATION OF I(FNU,ZTA) +C KODE=2 RETURNS EXP(-ABS(XZTA))*I(FNU,ZTA) FROM CBESI +C----------------------------------------------------------------------- + CALL ZBINU(ZTAR, ZTAI, FNU, KODE, 1, CYR, CYI, NZ, RL, FNUL, TOL, + * ELIM, ALIM) + IF (NZ.LT.0) GO TO 200 + AA = FMR*FNU + Z3R = SFAC + STR = DCOS(AA) + STI = DSIN(AA) + S1R = (STR*CYR(1)-STI*CYI(1))*Z3R + S1I = (STR*CYI(1)+STI*CYR(1))*Z3R + FNU = (2.0D0-FID)/3.0D0 + CALL ZBINU(ZTAR, ZTAI, FNU, KODE, 2, CYR, CYI, NZ, RL, FNUL, TOL, + * ELIM, ALIM) + CYR(1) = CYR(1)*Z3R + CYI(1) = CYI(1)*Z3R + CYR(2) = CYR(2)*Z3R + CYI(2) = CYI(2)*Z3R +C----------------------------------------------------------------------- +C BACKWARD RECUR ONE STEP FOR ORDERS -1/3 OR -2/3 +C----------------------------------------------------------------------- + CALL ZDIV(CYR(1), CYI(1), ZTAR, ZTAI, STR, STI) + S2R = (FNU+FNU)*STR + CYR(2) + S2I = (FNU+FNU)*STI + CYI(2) + AA = FMR*(FNU-1.0D0) + STR = DCOS(AA) + STI = DSIN(AA) + S1R = COEF*(S1R+S2R*STR-S2I*STI) + S1I = COEF*(S1I+S2R*STI+S2I*STR) + IF (ID.EQ.1) GO TO 120 + STR = CSQR*S1R - CSQI*S1I + S1I = CSQR*S1I + CSQI*S1R + S1R = STR + BIR = S1R/SFAC + BII = S1I/SFAC + RETURN + 120 CONTINUE + STR = ZR*S1R - ZI*S1I + S1I = ZR*S1I + ZI*S1R + S1R = STR + BIR = S1R/SFAC + BII = S1I/SFAC + RETURN + 130 CONTINUE + AA = C1*(1.0D0-FID) + FID*C2 + BIR = AA + BII = 0.0D0 + RETURN + 190 CONTINUE + IERR=2 + NZ=0 + RETURN + 200 CONTINUE + IF(NZ.EQ.(-1)) GO TO 190 + NZ=0 + IERR=5 + RETURN + 260 CONTINUE + IERR=4 + NZ=0 + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zbknu.f julia-0.2.1~quantal7/deps/openspecfun/amos/zbknu.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zbknu.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zbknu.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,568 @@ + SUBROUTINE ZBKNU(ZR, ZI, FNU, KODE, N, YR, YI, NZ, TOL, ELIM, + * ALIM) +C***BEGIN PROLOGUE ZBKNU +C***REFER TO ZBESI,ZBESK,ZAIRY,ZBESH +C +C ZBKNU COMPUTES THE K BESSEL FUNCTION IN THE RIGHT HALF Z PLANE. +C +C***ROUTINES CALLED DGAMLN,I1MACH,D1MACH,ZKSCL,ZSHCH,ZUCHK,ZABS,ZDIV, +C ZEXP,ZLOG,ZMLT,ZSQRT +C***END PROLOGUE ZBKNU +C + DOUBLE PRECISION AA, AK, ALIM, ASCLE, A1, A2, BB, BK, BRY, CAZ, + * CBI, CBR, CC, CCHI, CCHR, CKI, CKR, COEFI, COEFR, CONEI, CONER, + * CRSCR, CSCLR, CSHI, CSHR, CSI, CSR, CSRR, CSSR, CTWOR, + * CZEROI, CZEROR, CZI, CZR, DNU, DNU2, DPI, ELIM, ETEST, FC, FHS, + * FI, FK, FKS, FMUI, FMUR, FNU, FPI, FR, G1, G2, HPI, PI, PR, PTI, + * PTR, P1I, P1R, P2I, P2M, P2R, QI, QR, RAK, RCAZ, RTHPI, RZI, + * RZR, R1, S, SMUI, SMUR, SPI, STI, STR, S1I, S1R, S2I, S2R, TM, + * TOL, TTH, T1, T2, YI, YR, ZI, ZR, DGAMLN, D1MACH, ZABS, ELM, + * CELMR, ZDR, ZDI, AS, ALAS, HELIM, CYR, CYI + INTEGER I, IFLAG, INU, K, KFLAG, KK, KMAX, KODE, KODED, N, NZ, + * IDUM, I1MACH, J, IC, INUB, NW + DIMENSION YR(N), YI(N), CC(8), CSSR(3), CSRR(3), BRY(3), CYR(2), + * CYI(2) +C COMPLEX Z,Y,A,B,RZ,SMU,FU,FMU,F,FLRZ,CZ,S1,S2,CSH,CCH +C COMPLEX CK,P,Q,COEF,P1,P2,CBK,PT,CZERO,CONE,CTWO,ST,EZ,CS,DK +C + DATA KMAX / 30 / + DATA CZEROR,CZEROI,CONER,CONEI,CTWOR,R1/ + 1 0.0D0 , 0.0D0 , 1.0D0 , 0.0D0 , 2.0D0 , 2.0D0 / + DATA DPI, RTHPI, SPI ,HPI, FPI, TTH / + 1 3.14159265358979324D0, 1.25331413731550025D0, + 2 1.90985931710274403D0, 1.57079632679489662D0, + 3 1.89769999331517738D0, 6.66666666666666666D-01/ + DATA CC(1), CC(2), CC(3), CC(4), CC(5), CC(6), CC(7), CC(8)/ + 1 5.77215664901532861D-01, -4.20026350340952355D-02, + 2 -4.21977345555443367D-02, 7.21894324666309954D-03, + 3 -2.15241674114950973D-04, -2.01348547807882387D-05, + 4 1.13302723198169588D-06, 6.11609510448141582D-09/ +C + CAZ = ZABS(COMPLEX(ZR,ZI)) + CSCLR = 1.0D0/TOL + CRSCR = TOL + CSSR(1) = CSCLR + CSSR(2) = 1.0D0 + CSSR(3) = CRSCR + CSRR(1) = CRSCR + CSRR(2) = 1.0D0 + CSRR(3) = CSCLR + BRY(1) = 1.0D+3*D1MACH(1)/TOL + BRY(2) = 1.0D0/BRY(1) + BRY(3) = D1MACH(2) + NZ = 0 + IFLAG = 0 + KODED = KODE + RCAZ = 1.0D0/CAZ + STR = ZR*RCAZ + STI = -ZI*RCAZ + RZR = (STR+STR)*RCAZ + RZI = (STI+STI)*RCAZ + INU = INT(SNGL(FNU+0.5D0)) + DNU = FNU - DBLE(FLOAT(INU)) + IF (DABS(DNU).EQ.0.5D0) GO TO 110 + DNU2 = 0.0D0 + IF (DABS(DNU).GT.TOL) DNU2 = DNU*DNU + IF (CAZ.GT.R1) GO TO 110 +C----------------------------------------------------------------------- +C SERIES FOR CABS(Z).LE.R1 +C----------------------------------------------------------------------- + FC = 1.0D0 + CALL ZLOG(RZR, RZI, SMUR, SMUI, IDUM) + FMUR = SMUR*DNU + FMUI = SMUI*DNU + CALL ZSHCH(FMUR, FMUI, CSHR, CSHI, CCHR, CCHI) + IF (DNU.EQ.0.0D0) GO TO 10 + FC = DNU*DPI + FC = FC/DSIN(FC) + SMUR = CSHR/DNU + SMUI = CSHI/DNU + 10 CONTINUE + A2 = 1.0D0 + DNU +C----------------------------------------------------------------------- +C GAM(1-Z)*GAM(1+Z)=PI*Z/SIN(PI*Z), T1=1/GAM(1-DNU), T2=1/GAM(1+DNU) +C----------------------------------------------------------------------- + T2 = DEXP(-DGAMLN(A2,IDUM)) + T1 = 1.0D0/(T2*FC) + IF (DABS(DNU).GT.0.1D0) GO TO 40 +C----------------------------------------------------------------------- +C SERIES FOR F0 TO RESOLVE INDETERMINACY FOR SMALL ABS(DNU) +C----------------------------------------------------------------------- + AK = 1.0D0 + S = CC(1) + DO 20 K=2,8 + AK = AK*DNU2 + TM = CC(K)*AK + S = S + TM + IF (DABS(TM).LT.TOL) GO TO 30 + 20 CONTINUE + 30 G1 = -S + GO TO 50 + 40 CONTINUE + G1 = (T1-T2)/(DNU+DNU) + 50 CONTINUE + G2 = (T1+T2)*0.5D0 + FR = FC*(CCHR*G1+SMUR*G2) + FI = FC*(CCHI*G1+SMUI*G2) + CALL ZEXP(FMUR, FMUI, STR, STI) + PR = 0.5D0*STR/T2 + PI = 0.5D0*STI/T2 + CALL ZDIV(0.5D0, 0.0D0, STR, STI, PTR, PTI) + QR = PTR/T1 + QI = PTI/T1 + S1R = FR + S1I = FI + S2R = PR + S2I = PI + AK = 1.0D0 + A1 = 1.0D0 + CKR = CONER + CKI = CONEI + BK = 1.0D0 - DNU2 + IF (INU.GT.0 .OR. N.GT.1) GO TO 80 +C----------------------------------------------------------------------- +C GENERATE K(FNU,Z), 0.0D0 .LE. FNU .LT. 0.5D0 AND N=1 +C----------------------------------------------------------------------- + IF (CAZ.LT.TOL) GO TO 70 + CALL ZMLT(ZR, ZI, ZR, ZI, CZR, CZI) + CZR = 0.25D0*CZR + CZI = 0.25D0*CZI + T1 = 0.25D0*CAZ*CAZ + 60 CONTINUE + FR = (FR*AK+PR+QR)/BK + FI = (FI*AK+PI+QI)/BK + STR = 1.0D0/(AK-DNU) + PR = PR*STR + PI = PI*STR + STR = 1.0D0/(AK+DNU) + QR = QR*STR + QI = QI*STR + STR = CKR*CZR - CKI*CZI + RAK = 1.0D0/AK + CKI = (CKR*CZI+CKI*CZR)*RAK + CKR = STR*RAK + S1R = CKR*FR - CKI*FI + S1R + S1I = CKR*FI + CKI*FR + S1I + A1 = A1*T1*RAK + BK = BK + AK + AK + 1.0D0 + AK = AK + 1.0D0 + IF (A1.GT.TOL) GO TO 60 + 70 CONTINUE + YR(1) = S1R + YI(1) = S1I + IF (KODED.EQ.1) RETURN + CALL ZEXP(ZR, ZI, STR, STI) + CALL ZMLT(S1R, S1I, STR, STI, YR(1), YI(1)) + RETURN +C----------------------------------------------------------------------- +C GENERATE K(DNU,Z) AND K(DNU+1,Z) FOR FORWARD RECURRENCE +C----------------------------------------------------------------------- + 80 CONTINUE + IF (CAZ.LT.TOL) GO TO 100 + CALL ZMLT(ZR, ZI, ZR, ZI, CZR, CZI) + CZR = 0.25D0*CZR + CZI = 0.25D0*CZI + T1 = 0.25D0*CAZ*CAZ + 90 CONTINUE + FR = (FR*AK+PR+QR)/BK + FI = (FI*AK+PI+QI)/BK + STR = 1.0D0/(AK-DNU) + PR = PR*STR + PI = PI*STR + STR = 1.0D0/(AK+DNU) + QR = QR*STR + QI = QI*STR + STR = CKR*CZR - CKI*CZI + RAK = 1.0D0/AK + CKI = (CKR*CZI+CKI*CZR)*RAK + CKR = STR*RAK + S1R = CKR*FR - CKI*FI + S1R + S1I = CKR*FI + CKI*FR + S1I + STR = PR - FR*AK + STI = PI - FI*AK + S2R = CKR*STR - CKI*STI + S2R + S2I = CKR*STI + CKI*STR + S2I + A1 = A1*T1*RAK + BK = BK + AK + AK + 1.0D0 + AK = AK + 1.0D0 + IF (A1.GT.TOL) GO TO 90 + 100 CONTINUE + KFLAG = 2 + A1 = FNU + 1.0D0 + AK = A1*DABS(SMUR) + IF (AK.GT.ALIM) KFLAG = 3 + STR = CSSR(KFLAG) + P2R = S2R*STR + P2I = S2I*STR + CALL ZMLT(P2R, P2I, RZR, RZI, S2R, S2I) + S1R = S1R*STR + S1I = S1I*STR + IF (KODED.EQ.1) GO TO 210 + CALL ZEXP(ZR, ZI, FR, FI) + CALL ZMLT(S1R, S1I, FR, FI, S1R, S1I) + CALL ZMLT(S2R, S2I, FR, FI, S2R, S2I) + GO TO 210 +C----------------------------------------------------------------------- +C IFLAG=0 MEANS NO UNDERFLOW OCCURRED +C IFLAG=1 MEANS AN UNDERFLOW OCCURRED- COMPUTATION PROCEEDS WITH +C KODED=2 AND A TEST FOR ON SCALE VALUES IS MADE DURING FORWARD +C RECURSION +C----------------------------------------------------------------------- + 110 CONTINUE + CALL ZSQRT(ZR, ZI, STR, STI) + CALL ZDIV(RTHPI, CZEROI, STR, STI, COEFR, COEFI) + KFLAG = 2 + IF (KODED.EQ.2) GO TO 120 + IF (ZR.GT.ALIM) GO TO 290 +C BLANK LINE + STR = DEXP(-ZR)*CSSR(KFLAG) + STI = -STR*DSIN(ZI) + STR = STR*DCOS(ZI) + CALL ZMLT(COEFR, COEFI, STR, STI, COEFR, COEFI) + 120 CONTINUE + IF (DABS(DNU).EQ.0.5D0) GO TO 300 +C----------------------------------------------------------------------- +C MILLER ALGORITHM FOR CABS(Z).GT.R1 +C----------------------------------------------------------------------- + AK = DCOS(DPI*DNU) + AK = DABS(AK) + IF (AK.EQ.CZEROR) GO TO 300 + FHS = DABS(0.25D0-DNU2) + IF (FHS.EQ.CZEROR) GO TO 300 +C----------------------------------------------------------------------- +C COMPUTE R2=F(E). IF CABS(Z).GE.R2, USE FORWARD RECURRENCE TO +C DETERMINE THE BACKWARD INDEX K. R2=F(E) IS A STRAIGHT LINE ON +C 12.LE.E.LE.60. E IS COMPUTED FROM 2**(-E)=B**(1-I1MACH(14))= +C TOL WHERE B IS THE BASE OF THE ARITHMETIC. +C----------------------------------------------------------------------- + T1 = DBLE(FLOAT(I1MACH(14)-1)) + T1 = T1*D1MACH(5)*3.321928094D0 + T1 = DMAX1(T1,12.0D0) + T1 = DMIN1(T1,60.0D0) + T2 = TTH*T1 - 6.0D0 + IF (ZR.NE.0.0D0) GO TO 130 + T1 = HPI + GO TO 140 + 130 CONTINUE + T1 = DATAN(ZI/ZR) + T1 = DABS(T1) + 140 CONTINUE + IF (T2.GT.CAZ) GO TO 170 +C----------------------------------------------------------------------- +C FORWARD RECURRENCE LOOP WHEN CABS(Z).GE.R2 +C----------------------------------------------------------------------- + ETEST = AK/(DPI*CAZ*TOL) + FK = CONER + IF (ETEST.LT.CONER) GO TO 180 + FKS = CTWOR + CKR = CAZ + CAZ + CTWOR + P1R = CZEROR + P2R = CONER + DO 150 I=1,KMAX + AK = FHS/FKS + CBR = CKR/(FK+CONER) + PTR = P2R + P2R = CBR*P2R - P1R*AK + P1R = PTR + CKR = CKR + CTWOR + FKS = FKS + FK + FK + CTWOR + FHS = FHS + FK + FK + FK = FK + CONER + STR = DABS(P2R)*FK + IF (ETEST.LT.STR) GO TO 160 + 150 CONTINUE + GO TO 310 + 160 CONTINUE + FK = FK + SPI*T1*DSQRT(T2/CAZ) + FHS = DABS(0.25D0-DNU2) + GO TO 180 + 170 CONTINUE +C----------------------------------------------------------------------- +C COMPUTE BACKWARD INDEX K FOR CABS(Z).LT.R2 +C----------------------------------------------------------------------- + A2 = DSQRT(CAZ) + AK = FPI*AK/(TOL*DSQRT(A2)) + AA = 3.0D0*T1/(1.0D0+CAZ) + BB = 14.7D0*T1/(28.0D0+CAZ) + AK = (DLOG(AK)+CAZ*DCOS(AA)/(1.0D0+0.008D0*CAZ))/DCOS(BB) + FK = 0.12125D0*AK*AK/CAZ + 1.5D0 + 180 CONTINUE +C----------------------------------------------------------------------- +C BACKWARD RECURRENCE LOOP FOR MILLER ALGORITHM +C----------------------------------------------------------------------- + K = INT(SNGL(FK)) + FK = DBLE(FLOAT(K)) + FKS = FK*FK + P1R = CZEROR + P1I = CZEROI + P2R = TOL + P2I = CZEROI + CSR = P2R + CSI = P2I + DO 190 I=1,K + A1 = FKS - FK + AK = (FKS+FK)/(A1+FHS) + RAK = 2.0D0/(FK+CONER) + CBR = (FK+ZR)*RAK + CBI = ZI*RAK + PTR = P2R + PTI = P2I + P2R = (PTR*CBR-PTI*CBI-P1R)*AK + P2I = (PTI*CBR+PTR*CBI-P1I)*AK + P1R = PTR + P1I = PTI + CSR = CSR + P2R + CSI = CSI + P2I + FKS = A1 - FK + CONER + FK = FK - CONER + 190 CONTINUE +C----------------------------------------------------------------------- +C COMPUTE (P2/CS)=(P2/CABS(CS))*(CONJG(CS)/CABS(CS)) FOR BETTER +C SCALING +C----------------------------------------------------------------------- + TM = ZABS(COMPLEX(CSR,CSI)) + PTR = 1.0D0/TM + S1R = P2R*PTR + S1I = P2I*PTR + CSR = CSR*PTR + CSI = -CSI*PTR + CALL ZMLT(COEFR, COEFI, S1R, S1I, STR, STI) + CALL ZMLT(STR, STI, CSR, CSI, S1R, S1I) + IF (INU.GT.0 .OR. N.GT.1) GO TO 200 + ZDR = ZR + ZDI = ZI + IF(IFLAG.EQ.1) GO TO 270 + GO TO 240 + 200 CONTINUE +C----------------------------------------------------------------------- +C COMPUTE P1/P2=(P1/CABS(P2)*CONJG(P2)/CABS(P2) FOR SCALING +C----------------------------------------------------------------------- + TM = ZABS(COMPLEX(P2R,P2I)) + PTR = 1.0D0/TM + P1R = P1R*PTR + P1I = P1I*PTR + P2R = P2R*PTR + P2I = -P2I*PTR + CALL ZMLT(P1R, P1I, P2R, P2I, PTR, PTI) + STR = DNU + 0.5D0 - PTR + STI = -PTI + CALL ZDIV(STR, STI, ZR, ZI, STR, STI) + STR = STR + 1.0D0 + CALL ZMLT(STR, STI, S1R, S1I, S2R, S2I) +C----------------------------------------------------------------------- +C FORWARD RECURSION ON THE THREE TERM RECURSION WITH RELATION WITH +C SCALING NEAR EXPONENT EXTREMES ON KFLAG=1 OR KFLAG=3 +C----------------------------------------------------------------------- + 210 CONTINUE + STR = DNU + 1.0D0 + CKR = STR*RZR + CKI = STR*RZI + IF (N.EQ.1) INU = INU - 1 + IF (INU.GT.0) GO TO 220 + IF (N.GT.1) GO TO 215 + S1R = S2R + S1I = S2I + 215 CONTINUE + ZDR = ZR + ZDI = ZI + IF(IFLAG.EQ.1) GO TO 270 + GO TO 240 + 220 CONTINUE + INUB = 1 + IF(IFLAG.EQ.1) GO TO 261 + 225 CONTINUE + P1R = CSRR(KFLAG) + ASCLE = BRY(KFLAG) + DO 230 I=INUB,INU + STR = S2R + STI = S2I + S2R = CKR*STR - CKI*STI + S1R + S2I = CKR*STI + CKI*STR + S1I + S1R = STR + S1I = STI + CKR = CKR + RZR + CKI = CKI + RZI + IF (KFLAG.GE.3) GO TO 230 + P2R = S2R*P1R + P2I = S2I*P1R + STR = DABS(P2R) + STI = DABS(P2I) + P2M = DMAX1(STR,STI) + IF (P2M.LE.ASCLE) GO TO 230 + KFLAG = KFLAG + 1 + ASCLE = BRY(KFLAG) + S1R = S1R*P1R + S1I = S1I*P1R + S2R = P2R + S2I = P2I + STR = CSSR(KFLAG) + S1R = S1R*STR + S1I = S1I*STR + S2R = S2R*STR + S2I = S2I*STR + P1R = CSRR(KFLAG) + 230 CONTINUE + IF (N.NE.1) GO TO 240 + S1R = S2R + S1I = S2I + 240 CONTINUE + STR = CSRR(KFLAG) + YR(1) = S1R*STR + YI(1) = S1I*STR + IF (N.EQ.1) RETURN + YR(2) = S2R*STR + YI(2) = S2I*STR + IF (N.EQ.2) RETURN + KK = 2 + 250 CONTINUE + KK = KK + 1 + IF (KK.GT.N) RETURN + P1R = CSRR(KFLAG) + ASCLE = BRY(KFLAG) + DO 260 I=KK,N + P2R = S2R + P2I = S2I + S2R = CKR*P2R - CKI*P2I + S1R + S2I = CKI*P2R + CKR*P2I + S1I + S1R = P2R + S1I = P2I + CKR = CKR + RZR + CKI = CKI + RZI + P2R = S2R*P1R + P2I = S2I*P1R + YR(I) = P2R + YI(I) = P2I + IF (KFLAG.GE.3) GO TO 260 + STR = DABS(P2R) + STI = DABS(P2I) + P2M = DMAX1(STR,STI) + IF (P2M.LE.ASCLE) GO TO 260 + KFLAG = KFLAG + 1 + ASCLE = BRY(KFLAG) + S1R = S1R*P1R + S1I = S1I*P1R + S2R = P2R + S2I = P2I + STR = CSSR(KFLAG) + S1R = S1R*STR + S1I = S1I*STR + S2R = S2R*STR + S2I = S2I*STR + P1R = CSRR(KFLAG) + 260 CONTINUE + RETURN +C----------------------------------------------------------------------- +C IFLAG=1 CASES, FORWARD RECURRENCE ON SCALED VALUES ON UNDERFLOW +C----------------------------------------------------------------------- + 261 CONTINUE + HELIM = 0.5D0*ELIM + ELM = DEXP(-ELIM) + CELMR = ELM + ASCLE = BRY(1) + ZDR = ZR + ZDI = ZI + IC = -1 + J = 2 + DO 262 I=1,INU + STR = S2R + STI = S2I + S2R = STR*CKR-STI*CKI+S1R + S2I = STI*CKR+STR*CKI+S1I + S1R = STR + S1I = STI + CKR = CKR+RZR + CKI = CKI+RZI + AS = ZABS(COMPLEX(S2R,S2I)) + ALAS = DLOG(AS) + P2R = -ZDR+ALAS + IF(P2R.LT.(-ELIM)) GO TO 263 + CALL ZLOG(S2R,S2I,STR,STI,IDUM) + P2R = -ZDR+STR + P2I = -ZDI+STI + P2M = DEXP(P2R)/TOL + P1R = P2M*DCOS(P2I) + P1I = P2M*DSIN(P2I) + CALL ZUCHK(P1R,P1I,NW,ASCLE,TOL) + IF(NW.NE.0) GO TO 263 + J = 3 - J + CYR(J) = P1R + CYI(J) = P1I + IF(IC.EQ.(I-1)) GO TO 264 + IC = I + GO TO 262 + 263 CONTINUE + IF(ALAS.LT.HELIM) GO TO 262 + ZDR = ZDR-ELIM + S1R = S1R*CELMR + S1I = S1I*CELMR + S2R = S2R*CELMR + S2I = S2I*CELMR + 262 CONTINUE + IF(N.NE.1) GO TO 270 + S1R = S2R + S1I = S2I + GO TO 270 + 264 CONTINUE + KFLAG = 1 + INUB = I+1 + S2R = CYR(J) + S2I = CYI(J) + J = 3 - J + S1R = CYR(J) + S1I = CYI(J) + IF(INUB.LE.INU) GO TO 225 + IF(N.NE.1) GO TO 240 + S1R = S2R + S1I = S2I + GO TO 240 + 270 CONTINUE + YR(1) = S1R + YI(1) = S1I + IF(N.EQ.1) GO TO 280 + YR(2) = S2R + YI(2) = S2I + 280 CONTINUE + ASCLE = BRY(1) + CALL ZKSCL(ZDR,ZDI,FNU,N,YR,YI,NZ,RZR,RZI,ASCLE,TOL,ELIM) + INU = N - NZ + IF (INU.LE.0) RETURN + KK = NZ + 1 + S1R = YR(KK) + S1I = YI(KK) + YR(KK) = S1R*CSRR(1) + YI(KK) = S1I*CSRR(1) + IF (INU.EQ.1) RETURN + KK = NZ + 2 + S2R = YR(KK) + S2I = YI(KK) + YR(KK) = S2R*CSRR(1) + YI(KK) = S2I*CSRR(1) + IF (INU.EQ.2) RETURN + T2 = FNU + DBLE(FLOAT(KK-1)) + CKR = T2*RZR + CKI = T2*RZI + KFLAG = 1 + GO TO 250 + 290 CONTINUE +C----------------------------------------------------------------------- +C SCALE BY DEXP(Z), IFLAG = 1 CASES +C----------------------------------------------------------------------- + KODED = 2 + IFLAG = 1 + KFLAG = 2 + GO TO 120 +C----------------------------------------------------------------------- +C FNU=HALF ODD INTEGER CASE, DNU=-0.5 +C----------------------------------------------------------------------- + 300 CONTINUE + S1R = COEFR + S1I = COEFI + S2R = COEFR + S2I = COEFI + GO TO 210 +C +C + 310 CONTINUE + NZ=-2 + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zbuni.f julia-0.2.1~quantal7/deps/openspecfun/amos/zbuni.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zbuni.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zbuni.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,174 @@ + SUBROUTINE ZBUNI(ZR, ZI, FNU, KODE, N, YR, YI, NZ, NUI, NLAST, + * FNUL, TOL, ELIM, ALIM) +C***BEGIN PROLOGUE ZBUNI +C***REFER TO ZBESI,ZBESK +C +C ZBUNI COMPUTES THE I BESSEL FUNCTION FOR LARGE CABS(Z).GT. +C FNUL AND FNU+N-1.LT.FNUL. THE ORDER IS INCREASED FROM +C FNU+N-1 GREATER THAN FNUL BY ADDING NUI AND COMPUTING +C ACCORDING TO THE UNIFORM ASYMPTOTIC EXPANSION FOR I(FNU,Z) +C ON IFORM=1 AND THE EXPANSION FOR J(FNU,Z) ON IFORM=2 +C +C***ROUTINES CALLED ZUNI1,ZUNI2,ZABS,D1MACH +C***END PROLOGUE ZBUNI +C COMPLEX CSCL,CSCR,CY,RZ,ST,S1,S2,Y,Z + DOUBLE PRECISION ALIM, AX, AY, CSCLR, CSCRR, CYI, CYR, DFNU, + * ELIM, FNU, FNUI, FNUL, GNU, RAZ, RZI, RZR, STI, STR, S1I, S1R, + * S2I, S2R, TOL, YI, YR, ZI, ZR, ZABS, ASCLE, BRY, C1R, C1I, C1M, + * D1MACH + INTEGER I, IFLAG, IFORM, K, KODE, N, NL, NLAST, NUI, NW, NZ + DIMENSION YR(N), YI(N), CYR(2), CYI(2), BRY(3) + NZ = 0 + AX = DABS(ZR)*1.7321D0 + AY = DABS(ZI) + IFORM = 1 + IF (AY.GT.AX) IFORM = 2 + IF (NUI.EQ.0) GO TO 60 + FNUI = DBLE(FLOAT(NUI)) + DFNU = FNU + DBLE(FLOAT(N-1)) + GNU = DFNU + FNUI + IF (IFORM.EQ.2) GO TO 10 +C----------------------------------------------------------------------- +C ASYMPTOTIC EXPANSION FOR I(FNU,Z) FOR LARGE FNU APPLIED IN +C -PI/3.LE.ARG(Z).LE.PI/3 +C----------------------------------------------------------------------- + CALL ZUNI1(ZR, ZI, GNU, KODE, 2, CYR, CYI, NW, NLAST, FNUL, TOL, + * ELIM, ALIM) + GO TO 20 + 10 CONTINUE +C----------------------------------------------------------------------- +C ASYMPTOTIC EXPANSION FOR J(FNU,Z*EXP(M*HPI)) FOR LARGE FNU +C APPLIED IN PI/3.LT.ABS(ARG(Z)).LE.PI/2 WHERE M=+I OR -I +C AND HPI=PI/2 +C----------------------------------------------------------------------- + CALL ZUNI2(ZR, ZI, GNU, KODE, 2, CYR, CYI, NW, NLAST, FNUL, TOL, + * ELIM, ALIM) + 20 CONTINUE + IF (NW.LT.0) GO TO 50 + IF (NW.NE.0) GO TO 90 + STR = ZABS(COMPLEX(CYR(1),CYI(1))) +C---------------------------------------------------------------------- +C SCALE BACKWARD RECURRENCE, BRY(3) IS DEFINED BUT NEVER USED +C---------------------------------------------------------------------- + BRY(1)=1.0D+3*D1MACH(1)/TOL + BRY(2) = 1.0D0/BRY(1) + BRY(3) = BRY(2) + IFLAG = 2 + ASCLE = BRY(2) + CSCLR = 1.0D0 + IF (STR.GT.BRY(1)) GO TO 21 + IFLAG = 1 + ASCLE = BRY(1) + CSCLR = 1.0D0/TOL + GO TO 25 + 21 CONTINUE + IF (STR.LT.BRY(2)) GO TO 25 + IFLAG = 3 + ASCLE=BRY(3) + CSCLR = TOL + 25 CONTINUE + CSCRR = 1.0D0/CSCLR + S1R = CYR(2)*CSCLR + S1I = CYI(2)*CSCLR + S2R = CYR(1)*CSCLR + S2I = CYI(1)*CSCLR + RAZ = 1.0D0/ZABS(COMPLEX(ZR,ZI)) + STR = ZR*RAZ + STI = -ZI*RAZ + RZR = (STR+STR)*RAZ + RZI = (STI+STI)*RAZ + DO 30 I=1,NUI + STR = S2R + STI = S2I + S2R = (DFNU+FNUI)*(RZR*STR-RZI*STI) + S1R + S2I = (DFNU+FNUI)*(RZR*STI+RZI*STR) + S1I + S1R = STR + S1I = STI + FNUI = FNUI - 1.0D0 + IF (IFLAG.GE.3) GO TO 30 + STR = S2R*CSCRR + STI = S2I*CSCRR + C1R = DABS(STR) + C1I = DABS(STI) + C1M = DMAX1(C1R,C1I) + IF (C1M.LE.ASCLE) GO TO 30 + IFLAG = IFLAG+1 + ASCLE = BRY(IFLAG) + S1R = S1R*CSCRR + S1I = S1I*CSCRR + S2R = STR + S2I = STI + CSCLR = CSCLR*TOL + CSCRR = 1.0D0/CSCLR + S1R = S1R*CSCLR + S1I = S1I*CSCLR + S2R = S2R*CSCLR + S2I = S2I*CSCLR + 30 CONTINUE + YR(N) = S2R*CSCRR + YI(N) = S2I*CSCRR + IF (N.EQ.1) RETURN + NL = N - 1 + FNUI = DBLE(FLOAT(NL)) + K = NL + DO 40 I=1,NL + STR = S2R + STI = S2I + S2R = (FNU+FNUI)*(RZR*STR-RZI*STI) + S1R + S2I = (FNU+FNUI)*(RZR*STI+RZI*STR) + S1I + S1R = STR + S1I = STI + STR = S2R*CSCRR + STI = S2I*CSCRR + YR(K) = STR + YI(K) = STI + FNUI = FNUI - 1.0D0 + K = K - 1 + IF (IFLAG.GE.3) GO TO 40 + C1R = DABS(STR) + C1I = DABS(STI) + C1M = DMAX1(C1R,C1I) + IF (C1M.LE.ASCLE) GO TO 40 + IFLAG = IFLAG+1 + ASCLE = BRY(IFLAG) + S1R = S1R*CSCRR + S1I = S1I*CSCRR + S2R = STR + S2I = STI + CSCLR = CSCLR*TOL + CSCRR = 1.0D0/CSCLR + S1R = S1R*CSCLR + S1I = S1I*CSCLR + S2R = S2R*CSCLR + S2I = S2I*CSCLR + 40 CONTINUE + RETURN + 50 CONTINUE + NZ = -1 + IF(NW.EQ.(-2)) NZ=-2 + RETURN + 60 CONTINUE + IF (IFORM.EQ.2) GO TO 70 +C----------------------------------------------------------------------- +C ASYMPTOTIC EXPANSION FOR I(FNU,Z) FOR LARGE FNU APPLIED IN +C -PI/3.LE.ARG(Z).LE.PI/3 +C----------------------------------------------------------------------- + CALL ZUNI1(ZR, ZI, FNU, KODE, N, YR, YI, NW, NLAST, FNUL, TOL, + * ELIM, ALIM) + GO TO 80 + 70 CONTINUE +C----------------------------------------------------------------------- +C ASYMPTOTIC EXPANSION FOR J(FNU,Z*EXP(M*HPI)) FOR LARGE FNU +C APPLIED IN PI/3.LT.ABS(ARG(Z)).LE.PI/2 WHERE M=+I OR -I +C AND HPI=PI/2 +C----------------------------------------------------------------------- + CALL ZUNI2(ZR, ZI, FNU, KODE, N, YR, YI, NW, NLAST, FNUL, TOL, + * ELIM, ALIM) + 80 CONTINUE + IF (NW.LT.0) GO TO 50 + NZ = NW + RETURN + 90 CONTINUE + NLAST = N + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zbunk.f julia-0.2.1~quantal7/deps/openspecfun/amos/zbunk.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zbunk.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zbunk.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,35 @@ + SUBROUTINE ZBUNK(ZR, ZI, FNU, KODE, MR, N, YR, YI, NZ, TOL, ELIM, + * ALIM) +C***BEGIN PROLOGUE ZBUNK +C***REFER TO ZBESK,ZBESH +C +C ZBUNK COMPUTES THE K BESSEL FUNCTION FOR FNU.GT.FNUL. +C ACCORDING TO THE UNIFORM ASYMPTOTIC EXPANSION FOR K(FNU,Z) +C IN ZUNK1 AND THE EXPANSION FOR H(2,FNU,Z) IN ZUNK2 +C +C***ROUTINES CALLED ZUNK1,ZUNK2 +C***END PROLOGUE ZBUNK +C COMPLEX Y,Z + DOUBLE PRECISION ALIM, AX, AY, ELIM, FNU, TOL, YI, YR, ZI, ZR + INTEGER KODE, MR, N, NZ + DIMENSION YR(N), YI(N) + NZ = 0 + AX = DABS(ZR)*1.7321D0 + AY = DABS(ZI) + IF (AY.GT.AX) GO TO 10 +C----------------------------------------------------------------------- +C ASYMPTOTIC EXPANSION FOR K(FNU,Z) FOR LARGE FNU APPLIED IN +C -PI/3.LE.ARG(Z).LE.PI/3 +C----------------------------------------------------------------------- + CALL ZUNK1(ZR, ZI, FNU, KODE, MR, N, YR, YI, NZ, TOL, ELIM, ALIM) + GO TO 20 + 10 CONTINUE +C----------------------------------------------------------------------- +C ASYMPTOTIC EXPANSION FOR H(2,FNU,Z*EXP(M*HPI)) FOR LARGE FNU +C APPLIED IN PI/3.LT.ABS(ARG(Z)).LE.PI/2 WHERE M=+I OR -I +C AND HPI=PI/2 +C----------------------------------------------------------------------- + CALL ZUNK2(ZR, ZI, FNU, KODE, MR, N, YR, YI, NZ, TOL, ELIM, ALIM) + 20 CONTINUE + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zdiv.f julia-0.2.1~quantal7/deps/openspecfun/amos/zdiv.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zdiv.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zdiv.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,19 @@ + SUBROUTINE ZDIV(AR, AI, BR, BI, CR, CI) +C***BEGIN PROLOGUE ZDIV +C***REFER TO ZBESH,ZBESI,ZBESJ,ZBESK,ZBESY,ZAIRY,ZBIRY +C +C DOUBLE PRECISION COMPLEX DIVIDE C=A/B. +C +C***ROUTINES CALLED ZABS +C***END PROLOGUE ZDIV + DOUBLE PRECISION AR, AI, BR, BI, CR, CI, BM, CA, CB, CC, CD + DOUBLE PRECISION ZABS + BM = 1.0D0/ZABS(COMPLEX(BR,BI)) + CC = BR*BM + CD = BI*BM + CA = (AR*CC+AI*CD)*BM + CB = (AI*CC-AR*CD)*BM + CR = CA + CI = CB + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zexp.f julia-0.2.1~quantal7/deps/openspecfun/amos/zexp.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zexp.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zexp.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,16 @@ + SUBROUTINE ZEXP(AR, AI, BR, BI) +C***BEGIN PROLOGUE ZEXP +C***REFER TO ZBESH,ZBESI,ZBESJ,ZBESK,ZBESY,ZAIRY,ZBIRY +C +C DOUBLE PRECISION COMPLEX EXPONENTIAL FUNCTION B=EXP(A) +C +C***ROUTINES CALLED (NONE) +C***END PROLOGUE ZEXP + DOUBLE PRECISION AR, AI, BR, BI, ZM, CA, CB + ZM = DEXP(AR) + CA = ZM*DCOS(AI) + CB = ZM*DSIN(AI) + BR = CA + BI = CB + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zkscl.f julia-0.2.1~quantal7/deps/openspecfun/amos/zkscl.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zkscl.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zkscl.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,121 @@ + SUBROUTINE ZKSCL(ZRR,ZRI,FNU,N,YR,YI,NZ,RZR,RZI,ASCLE,TOL,ELIM) +C***BEGIN PROLOGUE ZKSCL +C***REFER TO ZBESK +C +C SET K FUNCTIONS TO ZERO ON UNDERFLOW, CONTINUE RECURRENCE +C ON SCALED FUNCTIONS UNTIL TWO MEMBERS COME ON SCALE, THEN +C RETURN WITH MIN(NZ+2,N) VALUES SCALED BY 1/TOL. +C +C***ROUTINES CALLED ZUCHK,ZABS,ZLOG +C***END PROLOGUE ZKSCL +C COMPLEX CK,CS,CY,CZERO,RZ,S1,S2,Y,ZR,ZD,CELM + DOUBLE PRECISION ACS, AS, ASCLE, CKI, CKR, CSI, CSR, CYI, + * CYR, ELIM, FN, FNU, RZI, RZR, STR, S1I, S1R, S2I, + * S2R, TOL, YI, YR, ZEROI, ZEROR, ZRI, ZRR, ZABS, + * ZDR, ZDI, CELMR, ELM, HELIM, ALAS + INTEGER I, IC, IDUM, KK, N, NN, NW, NZ + DIMENSION YR(N), YI(N), CYR(2), CYI(2) + DATA ZEROR,ZEROI / 0.0D0 , 0.0D0 / +C + NZ = 0 + IC = 0 + NN = MIN0(2,N) + DO 10 I=1,NN + S1R = YR(I) + S1I = YI(I) + CYR(I) = S1R + CYI(I) = S1I + AS = ZABS(COMPLEX(S1R,S1I)) + ACS = -ZRR + DLOG(AS) + NZ = NZ + 1 + YR(I) = ZEROR + YI(I) = ZEROI + IF (ACS.LT.(-ELIM)) GO TO 10 + CALL ZLOG(S1R, S1I, CSR, CSI, IDUM) + CSR = CSR - ZRR + CSI = CSI - ZRI + STR = DEXP(CSR)/TOL + CSR = STR*DCOS(CSI) + CSI = STR*DSIN(CSI) + CALL ZUCHK(CSR, CSI, NW, ASCLE, TOL) + IF (NW.NE.0) GO TO 10 + YR(I) = CSR + YI(I) = CSI + IC = I + NZ = NZ - 1 + 10 CONTINUE + IF (N.EQ.1) RETURN + IF (IC.GT.1) GO TO 20 + YR(1) = ZEROR + YI(1) = ZEROI + NZ = 2 + 20 CONTINUE + IF (N.EQ.2) RETURN + IF (NZ.EQ.0) RETURN + FN = FNU + 1.0D0 + CKR = FN*RZR + CKI = FN*RZI + S1R = CYR(1) + S1I = CYI(1) + S2R = CYR(2) + S2I = CYI(2) + HELIM = 0.5D0*ELIM + ELM = DEXP(-ELIM) + CELMR = ELM + ZDR = ZRR + ZDI = ZRI +C +C FIND TWO CONSECUTIVE Y VALUES ON SCALE. SCALE RECURRENCE IF +C S2 GETS LARGER THAN EXP(ELIM/2) +C + DO 30 I=3,N + KK = I + CSR = S2R + CSI = S2I + S2R = CKR*CSR - CKI*CSI + S1R + S2I = CKI*CSR + CKR*CSI + S1I + S1R = CSR + S1I = CSI + CKR = CKR + RZR + CKI = CKI + RZI + AS = ZABS(COMPLEX(S2R,S2I)) + ALAS = DLOG(AS) + ACS = -ZDR + ALAS + NZ = NZ + 1 + YR(I) = ZEROR + YI(I) = ZEROI + IF (ACS.LT.(-ELIM)) GO TO 25 + CALL ZLOG(S2R, S2I, CSR, CSI, IDUM) + CSR = CSR - ZDR + CSI = CSI - ZDI + STR = DEXP(CSR)/TOL + CSR = STR*DCOS(CSI) + CSI = STR*DSIN(CSI) + CALL ZUCHK(CSR, CSI, NW, ASCLE, TOL) + IF (NW.NE.0) GO TO 25 + YR(I) = CSR + YI(I) = CSI + NZ = NZ - 1 + IF (IC.EQ.KK-1) GO TO 40 + IC = KK + GO TO 30 + 25 CONTINUE + IF(ALAS.LT.HELIM) GO TO 30 + ZDR = ZDR - ELIM + S1R = S1R*CELMR + S1I = S1I*CELMR + S2R = S2R*CELMR + S2I = S2I*CELMR + 30 CONTINUE + NZ = N + IF(IC.EQ.N) NZ=N-1 + GO TO 45 + 40 CONTINUE + NZ = KK - 2 + 45 CONTINUE + DO 50 I=1,NZ + YR(I) = ZEROR + YI(I) = ZEROI + 50 CONTINUE + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zlog.f julia-0.2.1~quantal7/deps/openspecfun/amos/zlog.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zlog.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zlog.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,41 @@ + SUBROUTINE ZLOG(AR, AI, BR, BI, IERR) +C***BEGIN PROLOGUE ZLOG +C***REFER TO ZBESH,ZBESI,ZBESJ,ZBESK,ZBESY,ZAIRY,ZBIRY +C +C DOUBLE PRECISION COMPLEX LOGARITHM B=CLOG(A) +C IERR=0,NORMAL RETURN IERR=1, Z=CMPLX(0.0,0.0) +C***ROUTINES CALLED ZABS +C***END PROLOGUE ZLOG + DOUBLE PRECISION AR, AI, BR, BI, ZM, DTHETA, DPI, DHPI + DOUBLE PRECISION ZABS + DATA DPI , DHPI / 3.141592653589793238462643383D+0, + 1 1.570796326794896619231321696D+0/ +C + IERR=0 + IF (AR.EQ.0.0D+0) GO TO 10 + IF (AI.EQ.0.0D+0) GO TO 20 + DTHETA = DATAN(AI/AR) + IF (DTHETA.LE.0.0D+0) GO TO 40 + IF (AR.LT.0.0D+0) DTHETA = DTHETA - DPI + GO TO 50 + 10 IF (AI.EQ.0.0D+0) GO TO 60 + BI = DHPI + BR = DLOG(DABS(AI)) + IF (AI.LT.0.0D+0) BI = -BI + RETURN + 20 IF (AR.GT.0.0D+0) GO TO 30 + BR = DLOG(DABS(AR)) + BI = DPI + RETURN + 30 BR = DLOG(AR) + BI = 0.0D+0 + RETURN + 40 IF (AR.LT.0.0D+0) DTHETA = DTHETA + DPI + 50 ZM = ZABS(COMPLEX(AR,AI)) + BR = DLOG(ZM) + BI = DTHETA + RETURN + 60 CONTINUE + IERR=1 + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zmlri.f julia-0.2.1~quantal7/deps/openspecfun/amos/zmlri.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zmlri.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zmlri.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,204 @@ + SUBROUTINE ZMLRI(ZR, ZI, FNU, KODE, N, YR, YI, NZ, TOL) +C***BEGIN PROLOGUE ZMLRI +C***REFER TO ZBESI,ZBESK +C +C ZMLRI COMPUTES THE I BESSEL FUNCTION FOR RE(Z).GE.0.0 BY THE +C MILLER ALGORITHM NORMALIZED BY A NEUMANN SERIES. +C +C***ROUTINES CALLED DGAMLN,D1MACH,ZABS,ZEXP,ZLOG,ZMLT +C***END PROLOGUE ZMLRI +C COMPLEX CK,CNORM,CONE,CTWO,CZERO,PT,P1,P2,RZ,SUM,Y,Z + DOUBLE PRECISION ACK, AK, AP, AT, AZ, BK, CKI, CKR, CNORMI, + * CNORMR, CONEI, CONER, FKAP, FKK, FLAM, FNF, FNU, PTI, PTR, P1I, + * P1R, P2I, P2R, RAZ, RHO, RHO2, RZI, RZR, SCLE, STI, STR, SUMI, + * SUMR, TFNF, TOL, TST, YI, YR, ZEROI, ZEROR, ZI, ZR, DGAMLN, + * D1MACH, ZABS + INTEGER I, IAZ, IDUM, IFNU, INU, ITIME, K, KK, KM, KODE, M, N, NZ + DIMENSION YR(N), YI(N) + DATA ZEROR,ZEROI,CONER,CONEI / 0.0D0, 0.0D0, 1.0D0, 0.0D0 / + SCLE = D1MACH(1)/TOL + NZ=0 + AZ = ZABS(COMPLEX(ZR,ZI)) + IAZ = INT(SNGL(AZ)) + IFNU = INT(SNGL(FNU)) + INU = IFNU + N - 1 + AT = DBLE(FLOAT(IAZ)) + 1.0D0 + RAZ = 1.0D0/AZ + STR = ZR*RAZ + STI = -ZI*RAZ + CKR = STR*AT*RAZ + CKI = STI*AT*RAZ + RZR = (STR+STR)*RAZ + RZI = (STI+STI)*RAZ + P1R = ZEROR + P1I = ZEROI + P2R = CONER + P2I = CONEI + ACK = (AT+1.0D0)*RAZ + RHO = ACK + DSQRT(ACK*ACK-1.0D0) + RHO2 = RHO*RHO + TST = (RHO2+RHO2)/((RHO2-1.0D0)*(RHO-1.0D0)) + TST = TST/TOL +C----------------------------------------------------------------------- +C COMPUTE RELATIVE TRUNCATION ERROR INDEX FOR SERIES +C----------------------------------------------------------------------- + AK = AT + DO 10 I=1,80 + PTR = P2R + PTI = P2I + P2R = P1R - (CKR*PTR-CKI*PTI) + P2I = P1I - (CKI*PTR+CKR*PTI) + P1R = PTR + P1I = PTI + CKR = CKR + RZR + CKI = CKI + RZI + AP = ZABS(COMPLEX(P2R,P2I)) + IF (AP.GT.TST*AK*AK) GO TO 20 + AK = AK + 1.0D0 + 10 CONTINUE + GO TO 110 + 20 CONTINUE + I = I + 1 + K = 0 + IF (INU.LT.IAZ) GO TO 40 +C----------------------------------------------------------------------- +C COMPUTE RELATIVE TRUNCATION ERROR FOR RATIOS +C----------------------------------------------------------------------- + P1R = ZEROR + P1I = ZEROI + P2R = CONER + P2I = CONEI + AT = DBLE(FLOAT(INU)) + 1.0D0 + STR = ZR*RAZ + STI = -ZI*RAZ + CKR = STR*AT*RAZ + CKI = STI*AT*RAZ + ACK = AT*RAZ + TST = DSQRT(ACK/TOL) + ITIME = 1 + DO 30 K=1,80 + PTR = P2R + PTI = P2I + P2R = P1R - (CKR*PTR-CKI*PTI) + P2I = P1I - (CKR*PTI+CKI*PTR) + P1R = PTR + P1I = PTI + CKR = CKR + RZR + CKI = CKI + RZI + AP = ZABS(COMPLEX(P2R,P2I)) + IF (AP.LT.TST) GO TO 30 + IF (ITIME.EQ.2) GO TO 40 + ACK = ZABS(COMPLEX(CKR,CKI)) + FLAM = ACK + DSQRT(ACK*ACK-1.0D0) + FKAP = AP/ZABS(COMPLEX(P1R,P1I)) + RHO = DMIN1(FLAM,FKAP) + TST = TST*DSQRT(RHO/(RHO*RHO-1.0D0)) + ITIME = 2 + 30 CONTINUE + GO TO 110 + 40 CONTINUE +C----------------------------------------------------------------------- +C BACKWARD RECURRENCE AND SUM NORMALIZING RELATION +C----------------------------------------------------------------------- + K = K + 1 + KK = MAX0(I+IAZ,K+INU) + FKK = DBLE(FLOAT(KK)) + P1R = ZEROR + P1I = ZEROI +C----------------------------------------------------------------------- +C SCALE P2 AND SUM BY SCLE +C----------------------------------------------------------------------- + P2R = SCLE + P2I = ZEROI + FNF = FNU - DBLE(FLOAT(IFNU)) + TFNF = FNF + FNF + BK = DGAMLN(FKK+TFNF+1.0D0,IDUM) - DGAMLN(FKK+1.0D0,IDUM) - + * DGAMLN(TFNF+1.0D0,IDUM) + BK = DEXP(BK) + SUMR = ZEROR + SUMI = ZEROI + KM = KK - INU + DO 50 I=1,KM + PTR = P2R + PTI = P2I + P2R = P1R + (FKK+FNF)*(RZR*PTR-RZI*PTI) + P2I = P1I + (FKK+FNF)*(RZI*PTR+RZR*PTI) + P1R = PTR + P1I = PTI + AK = 1.0D0 - TFNF/(FKK+TFNF) + ACK = BK*AK + SUMR = SUMR + (ACK+BK)*P1R + SUMI = SUMI + (ACK+BK)*P1I + BK = ACK + FKK = FKK - 1.0D0 + 50 CONTINUE + YR(N) = P2R + YI(N) = P2I + IF (N.EQ.1) GO TO 70 + DO 60 I=2,N + PTR = P2R + PTI = P2I + P2R = P1R + (FKK+FNF)*(RZR*PTR-RZI*PTI) + P2I = P1I + (FKK+FNF)*(RZI*PTR+RZR*PTI) + P1R = PTR + P1I = PTI + AK = 1.0D0 - TFNF/(FKK+TFNF) + ACK = BK*AK + SUMR = SUMR + (ACK+BK)*P1R + SUMI = SUMI + (ACK+BK)*P1I + BK = ACK + FKK = FKK - 1.0D0 + M = N - I + 1 + YR(M) = P2R + YI(M) = P2I + 60 CONTINUE + 70 CONTINUE + IF (IFNU.LE.0) GO TO 90 + DO 80 I=1,IFNU + PTR = P2R + PTI = P2I + P2R = P1R + (FKK+FNF)*(RZR*PTR-RZI*PTI) + P2I = P1I + (FKK+FNF)*(RZR*PTI+RZI*PTR) + P1R = PTR + P1I = PTI + AK = 1.0D0 - TFNF/(FKK+TFNF) + ACK = BK*AK + SUMR = SUMR + (ACK+BK)*P1R + SUMI = SUMI + (ACK+BK)*P1I + BK = ACK + FKK = FKK - 1.0D0 + 80 CONTINUE + 90 CONTINUE + PTR = ZR + PTI = ZI + IF (KODE.EQ.2) PTR = ZEROR + CALL ZLOG(RZR, RZI, STR, STI, IDUM) + P1R = -FNF*STR + PTR + P1I = -FNF*STI + PTI + AP = DGAMLN(1.0D0+FNF,IDUM) + PTR = P1R - AP + PTI = P1I +C----------------------------------------------------------------------- +C THE DIVISION CEXP(PT)/(SUM+P2) IS ALTERED TO AVOID OVERFLOW +C IN THE DENOMINATOR BY SQUARING LARGE QUANTITIES +C----------------------------------------------------------------------- + P2R = P2R + SUMR + P2I = P2I + SUMI + AP = ZABS(COMPLEX(P2R,P2I)) + P1R = 1.0D0/AP + CALL ZEXP(PTR, PTI, STR, STI) + CKR = STR*P1R + CKI = STI*P1R + PTR = P2R*P1R + PTI = -P2I*P1R + CALL ZMLT(CKR, CKI, PTR, PTI, CNORMR, CNORMI) + DO 100 I=1,N + STR = YR(I)*CNORMR - YI(I)*CNORMI + YI(I) = YR(I)*CNORMI + YI(I)*CNORMR + YR(I) = STR + 100 CONTINUE + RETURN + 110 CONTINUE + NZ=-2 + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zmlt.f julia-0.2.1~quantal7/deps/openspecfun/amos/zmlt.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zmlt.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zmlt.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,15 @@ + SUBROUTINE ZMLT(AR, AI, BR, BI, CR, CI) +C***BEGIN PROLOGUE ZMLT +C***REFER TO ZBESH,ZBESI,ZBESJ,ZBESK,ZBESY,ZAIRY,ZBIRY +C +C DOUBLE PRECISION COMPLEX MULTIPLY, C=A*B. +C +C***ROUTINES CALLED (NONE) +C***END PROLOGUE ZMLT + DOUBLE PRECISION AR, AI, BR, BI, CR, CI, CA, CB + CA = AR*BR - AI*BI + CB = AR*BI + AI*BR + CR = CA + CI = CB + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zrati.f julia-0.2.1~quantal7/deps/openspecfun/amos/zrati.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zrati.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zrati.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,132 @@ + SUBROUTINE ZRATI(ZR, ZI, FNU, N, CYR, CYI, TOL) +C***BEGIN PROLOGUE ZRATI +C***REFER TO ZBESI,ZBESK,ZBESH +C +C ZRATI COMPUTES RATIOS OF I BESSEL FUNCTIONS BY BACKWARD +C RECURRENCE. THE STARTING INDEX IS DETERMINED BY FORWARD +C RECURRENCE AS DESCRIBED IN J. RES. OF NAT. BUR. OF STANDARDS-B, +C MATHEMATICAL SCIENCES, VOL 77B, P111-114, SEPTEMBER, 1973, +C BESSEL FUNCTIONS I AND J OF COMPLEX ARGUMENT AND INTEGER ORDER, +C BY D. J. SOOKNE. +C +C***ROUTINES CALLED ZABS,ZDIV +C***END PROLOGUE ZRATI +C COMPLEX Z,CY(1),CONE,CZERO,P1,P2,T1,RZ,PT,CDFNU + DOUBLE PRECISION AK, AMAGZ, AP1, AP2, ARG, AZ, CDFNUI, CDFNUR, + * CONEI, CONER, CYI, CYR, CZEROI, CZEROR, DFNU, FDNU, FLAM, FNU, + * FNUP, PTI, PTR, P1I, P1R, P2I, P2R, RAK, RAP1, RHO, RT2, RZI, + * RZR, TEST, TEST1, TOL, TTI, TTR, T1I, T1R, ZI, ZR, ZABS + INTEGER I, ID, IDNU, INU, ITIME, K, KK, MAGZ, N + DIMENSION CYR(N), CYI(N) + DATA CZEROR,CZEROI,CONER,CONEI,RT2/ + 1 0.0D0, 0.0D0, 1.0D0, 0.0D0, 1.41421356237309505D0 / + AZ = ZABS(COMPLEX(ZR,ZI)) + INU = INT(SNGL(FNU)) + IDNU = INU + N - 1 + MAGZ = INT(SNGL(AZ)) + AMAGZ = DBLE(FLOAT(MAGZ+1)) + FDNU = DBLE(FLOAT(IDNU)) + FNUP = DMAX1(AMAGZ,FDNU) + ID = IDNU - MAGZ - 1 + ITIME = 1 + K = 1 + PTR = 1.0D0/AZ + RZR = PTR*(ZR+ZR)*PTR + RZI = -PTR*(ZI+ZI)*PTR + T1R = RZR*FNUP + T1I = RZI*FNUP + P2R = -T1R + P2I = -T1I + P1R = CONER + P1I = CONEI + T1R = T1R + RZR + T1I = T1I + RZI + IF (ID.GT.0) ID = 0 + AP2 = ZABS(COMPLEX(P2R,P2I)) + AP1 = ZABS(COMPLEX(P1R,P1I)) +C----------------------------------------------------------------------- +C THE OVERFLOW TEST ON K(FNU+I-1,Z) BEFORE THE CALL TO CBKNU +C GUARANTEES THAT P2 IS ON SCALE. SCALE TEST1 AND ALL SUBSEQUENT +C P2 VALUES BY AP1 TO ENSURE THAT AN OVERFLOW DOES NOT OCCUR +C PREMATURELY. +C----------------------------------------------------------------------- + ARG = (AP2+AP2)/(AP1*TOL) + TEST1 = DSQRT(ARG) + TEST = TEST1 + RAP1 = 1.0D0/AP1 + P1R = P1R*RAP1 + P1I = P1I*RAP1 + P2R = P2R*RAP1 + P2I = P2I*RAP1 + AP2 = AP2*RAP1 + 10 CONTINUE + K = K + 1 + AP1 = AP2 + PTR = P2R + PTI = P2I + P2R = P1R - (T1R*PTR-T1I*PTI) + P2I = P1I - (T1R*PTI+T1I*PTR) + P1R = PTR + P1I = PTI + T1R = T1R + RZR + T1I = T1I + RZI + AP2 = ZABS(COMPLEX(P2R,P2I)) + IF (AP1.LE.TEST) GO TO 10 + IF (ITIME.EQ.2) GO TO 20 + AK = ZABS(COMPLEX(T1R,T1I)*0.5D0) + FLAM = AK + DSQRT(AK*AK-1.0D0) + RHO = DMIN1(AP2/AP1,FLAM) + TEST = TEST1*DSQRT(RHO/(RHO*RHO-1.0D0)) + ITIME = 2 + GO TO 10 + 20 CONTINUE + KK = K + 1 - ID + AK = DBLE(FLOAT(KK)) + T1R = AK + T1I = CZEROI + DFNU = FNU + DBLE(FLOAT(N-1)) + P1R = 1.0D0/AP2 + P1I = CZEROI + P2R = CZEROR + P2I = CZEROI + DO 30 I=1,KK + PTR = P1R + PTI = P1I + RAP1 = DFNU + T1R + TTR = RZR*RAP1 + TTI = RZI*RAP1 + P1R = (PTR*TTR-PTI*TTI) + P2R + P1I = (PTR*TTI+PTI*TTR) + P2I + P2R = PTR + P2I = PTI + T1R = T1R - CONER + 30 CONTINUE + IF (P1R.NE.CZEROR .OR. P1I.NE.CZEROI) GO TO 40 + P1R = TOL + P1I = TOL + 40 CONTINUE + CALL ZDIV(P2R, P2I, P1R, P1I, CYR(N), CYI(N)) + IF (N.EQ.1) RETURN + K = N - 1 + AK = DBLE(FLOAT(K)) + T1R = AK + T1I = CZEROI + CDFNUR = FNU*RZR + CDFNUI = FNU*RZI + DO 60 I=2,N + PTR = CDFNUR + (T1R*RZR-T1I*RZI) + CYR(K+1) + PTI = CDFNUI + (T1R*RZI+T1I*RZR) + CYI(K+1) + AK = ZABS(COMPLEX(PTR,PTI)) + IF (AK.NE.CZEROR) GO TO 50 + PTR = TOL + PTI = TOL + AK = TOL*RT2 + 50 CONTINUE + RAK = CONER/AK + CYR(K) = RAK*PTR*RAK + CYI(K) = -RAK*PTI*RAK + T1R = T1R - CONER + K = K - 1 + 60 CONTINUE + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zs1s2.f julia-0.2.1~quantal7/deps/openspecfun/amos/zs1s2.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zs1s2.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zs1s2.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,49 @@ + SUBROUTINE ZS1S2(ZRR, ZRI, S1R, S1I, S2R, S2I, NZ, ASCLE, ALIM, + * IUF) +C***BEGIN PROLOGUE ZS1S2 +C***REFER TO ZBESK,ZAIRY +C +C ZS1S2 TESTS FOR A POSSIBLE UNDERFLOW RESULTING FROM THE +C ADDITION OF THE I AND K FUNCTIONS IN THE ANALYTIC CON- +C TINUATION FORMULA WHERE S1=K FUNCTION AND S2=I FUNCTION. +C ON KODE=1 THE I AND K FUNCTIONS ARE DIFFERENT ORDERS OF +C MAGNITUDE, BUT FOR KODE=2 THEY CAN BE OF THE SAME ORDER +C OF MAGNITUDE AND THE MAXIMUM MUST BE AT LEAST ONE +C PRECISION ABOVE THE UNDERFLOW LIMIT. +C +C***ROUTINES CALLED ZABS,ZEXP,ZLOG +C***END PROLOGUE ZS1S2 +C COMPLEX CZERO,C1,S1,S1D,S2,ZR + DOUBLE PRECISION AA, ALIM, ALN, ASCLE, AS1, AS2, C1I, C1R, S1DI, + * S1DR, S1I, S1R, S2I, S2R, ZEROI, ZEROR, ZRI, ZRR, ZABS + INTEGER IUF, IDUM, NZ + DATA ZEROR,ZEROI / 0.0D0 , 0.0D0 / + NZ = 0 + AS1 = ZABS(COMPLEX(S1R,S1I)) + AS2 = ZABS(COMPLEX(S2R,S2I)) + IF (S1R.EQ.0.0D0 .AND. S1I.EQ.0.0D0) GO TO 10 + IF (AS1.EQ.0.0D0) GO TO 10 + ALN = -ZRR - ZRR + DLOG(AS1) + S1DR = S1R + S1DI = S1I + S1R = ZEROR + S1I = ZEROI + AS1 = ZEROR + IF (ALN.LT.(-ALIM)) GO TO 10 + CALL ZLOG(S1DR, S1DI, C1R, C1I, IDUM) + C1R = C1R - ZRR - ZRR + C1I = C1I - ZRI - ZRI + CALL ZEXP(C1R, C1I, S1R, S1I) + AS1 = ZABS(COMPLEX(S1R,S1I)) + IUF = IUF + 1 + 10 CONTINUE + AA = DMAX1(AS1,AS2) + IF (AA.GT.ASCLE) RETURN + S1R = ZEROR + S1I = ZEROI + S2R = ZEROR + S2I = ZEROI + NZ = 1 + IUF = 0 + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zseri.f julia-0.2.1~quantal7/deps/openspecfun/amos/zseri.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zseri.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zseri.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,190 @@ + SUBROUTINE ZSERI(ZR, ZI, FNU, KODE, N, YR, YI, NZ, TOL, ELIM, + * ALIM) +C***BEGIN PROLOGUE ZSERI +C***REFER TO ZBESI,ZBESK +C +C ZSERI COMPUTES THE I BESSEL FUNCTION FOR REAL(Z).GE.0.0 BY +C MEANS OF THE POWER SERIES FOR LARGE CABS(Z) IN THE +C REGION CABS(Z).LE.2*SQRT(FNU+1). NZ=0 IS A NORMAL RETURN. +C NZ.GT.0 MEANS THAT THE LAST NZ COMPONENTS WERE SET TO ZERO +C DUE TO UNDERFLOW. NZ.LT.0 MEANS UNDERFLOW OCCURRED, BUT THE +C CONDITION CABS(Z).LE.2*SQRT(FNU+1) WAS VIOLATED AND THE +C COMPUTATION MUST BE COMPLETED IN ANOTHER ROUTINE WITH N=N-ABS(NZ). +C +C***ROUTINES CALLED DGAMLN,D1MACH,ZUCHK,ZABS,ZDIV,ZLOG,ZMLT +C***END PROLOGUE ZSERI +C COMPLEX AK1,CK,COEF,CONE,CRSC,CSCL,CZ,CZERO,HZ,RZ,S1,S2,Y,Z + DOUBLE PRECISION AA, ACZ, AK, AK1I, AK1R, ALIM, ARM, ASCLE, ATOL, + * AZ, CKI, CKR, COEFI, COEFR, CONEI, CONER, CRSCR, CZI, CZR, DFNU, + * ELIM, FNU, FNUP, HZI, HZR, RAZ, RS, RTR1, RZI, RZR, S, SS, STI, + * STR, S1I, S1R, S2I, S2R, TOL, YI, YR, WI, WR, ZEROI, ZEROR, ZI, + * ZR, DGAMLN, D1MACH, ZABS + INTEGER I, IB, IDUM, IFLAG, IL, K, KODE, L, M, N, NN, NZ, NW + DIMENSION YR(N), YI(N), WR(2), WI(2) + DATA ZEROR,ZEROI,CONER,CONEI / 0.0D0, 0.0D0, 1.0D0, 0.0D0 / +C + NZ = 0 + AZ = ZABS(COMPLEX(ZR,ZI)) + IF (AZ.EQ.0.0D0) GO TO 160 + ARM = 1.0D+3*D1MACH(1) + RTR1 = DSQRT(ARM) + CRSCR = 1.0D0 + IFLAG = 0 + IF (AZ.LT.ARM) GO TO 150 + HZR = 0.5D0*ZR + HZI = 0.5D0*ZI + CZR = ZEROR + CZI = ZEROI + IF (AZ.LE.RTR1) GO TO 10 + CALL ZMLT(HZR, HZI, HZR, HZI, CZR, CZI) + 10 CONTINUE + ACZ = ZABS(COMPLEX(CZR,CZI)) + NN = N + CALL ZLOG(HZR, HZI, CKR, CKI, IDUM) + 20 CONTINUE + DFNU = FNU + DBLE(FLOAT(NN-1)) + FNUP = DFNU + 1.0D0 +C----------------------------------------------------------------------- +C UNDERFLOW TEST +C----------------------------------------------------------------------- + AK1R = CKR*DFNU + AK1I = CKI*DFNU + AK = DGAMLN(FNUP,IDUM) + AK1R = AK1R - AK + IF (KODE.EQ.2) AK1R = AK1R - ZR + IF (AK1R.GT.(-ELIM)) GO TO 40 + 30 CONTINUE + NZ = NZ + 1 + YR(NN) = ZEROR + YI(NN) = ZEROI + IF (ACZ.GT.DFNU) GO TO 190 + NN = NN - 1 + IF (NN.EQ.0) RETURN + GO TO 20 + 40 CONTINUE + IF (AK1R.GT.(-ALIM)) GO TO 50 + IFLAG = 1 + SS = 1.0D0/TOL + CRSCR = TOL + ASCLE = ARM*SS + 50 CONTINUE + AA = DEXP(AK1R) + IF (IFLAG.EQ.1) AA = AA*SS + COEFR = AA*DCOS(AK1I) + COEFI = AA*DSIN(AK1I) + ATOL = TOL*ACZ/FNUP + IL = MIN0(2,NN) + DO 90 I=1,IL + DFNU = FNU + DBLE(FLOAT(NN-I)) + FNUP = DFNU + 1.0D0 + S1R = CONER + S1I = CONEI + IF (ACZ.LT.TOL*FNUP) GO TO 70 + AK1R = CONER + AK1I = CONEI + AK = FNUP + 2.0D0 + S = FNUP + AA = 2.0D0 + 60 CONTINUE + RS = 1.0D0/S + STR = AK1R*CZR - AK1I*CZI + STI = AK1R*CZI + AK1I*CZR + AK1R = STR*RS + AK1I = STI*RS + S1R = S1R + AK1R + S1I = S1I + AK1I + S = S + AK + AK = AK + 2.0D0 + AA = AA*ACZ*RS + IF (AA.GT.ATOL) GO TO 60 + 70 CONTINUE + S2R = S1R*COEFR - S1I*COEFI + S2I = S1R*COEFI + S1I*COEFR + WR(I) = S2R + WI(I) = S2I + IF (IFLAG.EQ.0) GO TO 80 + CALL ZUCHK(S2R, S2I, NW, ASCLE, TOL) + IF (NW.NE.0) GO TO 30 + 80 CONTINUE + M = NN - I + 1 + YR(M) = S2R*CRSCR + YI(M) = S2I*CRSCR + IF (I.EQ.IL) GO TO 90 + CALL ZDIV(COEFR, COEFI, HZR, HZI, STR, STI) + COEFR = STR*DFNU + COEFI = STI*DFNU + 90 CONTINUE + IF (NN.LE.2) RETURN + K = NN - 2 + AK = DBLE(FLOAT(K)) + RAZ = 1.0D0/AZ + STR = ZR*RAZ + STI = -ZI*RAZ + RZR = (STR+STR)*RAZ + RZI = (STI+STI)*RAZ + IF (IFLAG.EQ.1) GO TO 120 + IB = 3 + 100 CONTINUE + DO 110 I=IB,NN + YR(K) = (AK+FNU)*(RZR*YR(K+1)-RZI*YI(K+1)) + YR(K+2) + YI(K) = (AK+FNU)*(RZR*YI(K+1)+RZI*YR(K+1)) + YI(K+2) + AK = AK - 1.0D0 + K = K - 1 + 110 CONTINUE + RETURN +C----------------------------------------------------------------------- +C RECUR BACKWARD WITH SCALED VALUES +C----------------------------------------------------------------------- + 120 CONTINUE +C----------------------------------------------------------------------- +C EXP(-ALIM)=EXP(-ELIM)/TOL=APPROX. ONE PRECISION ABOVE THE +C UNDERFLOW LIMIT = ASCLE = D1MACH(1)*SS*1.0D+3 +C----------------------------------------------------------------------- + S1R = WR(1) + S1I = WI(1) + S2R = WR(2) + S2I = WI(2) + DO 130 L=3,NN + CKR = S2R + CKI = S2I + S2R = S1R + (AK+FNU)*(RZR*CKR-RZI*CKI) + S2I = S1I + (AK+FNU)*(RZR*CKI+RZI*CKR) + S1R = CKR + S1I = CKI + CKR = S2R*CRSCR + CKI = S2I*CRSCR + YR(K) = CKR + YI(K) = CKI + AK = AK - 1.0D0 + K = K - 1 + IF (ZABS(COMPLEX(CKR,CKI)).GT.ASCLE) GO TO 140 + 130 CONTINUE + RETURN + 140 CONTINUE + IB = L + 1 + IF (IB.GT.NN) RETURN + GO TO 100 + 150 CONTINUE + NZ = N + IF (FNU.EQ.0.0D0) NZ = NZ - 1 + 160 CONTINUE + YR(1) = ZEROR + YI(1) = ZEROI + IF (FNU.NE.0.0D0) GO TO 170 + YR(1) = CONER + YI(1) = CONEI + 170 CONTINUE + IF (N.EQ.1) RETURN + DO 180 I=2,N + YR(I) = ZEROR + YI(I) = ZEROI + 180 CONTINUE + RETURN +C----------------------------------------------------------------------- +C RETURN WITH NZ.LT.0 IF CABS(Z*Z/4).GT.FNU+N-NZ-1 COMPLETE +C THE CALCULATION IN CBINU WITH N=N-IABS(NZ) +C----------------------------------------------------------------------- + 190 CONTINUE + NZ = -NZ + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zshch.f julia-0.2.1~quantal7/deps/openspecfun/amos/zshch.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zshch.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zshch.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,22 @@ + SUBROUTINE ZSHCH(ZR, ZI, CSHR, CSHI, CCHR, CCHI) +C***BEGIN PROLOGUE ZSHCH +C***REFER TO ZBESK,ZBESH +C +C ZSHCH COMPUTES THE COMPLEX HYPERBOLIC FUNCTIONS CSH=SINH(X+I*Y) +C AND CCH=COSH(X+I*Y), WHERE I**2=-1. +C +C***ROUTINES CALLED (NONE) +C***END PROLOGUE ZSHCH +C + DOUBLE PRECISION CCHI, CCHR, CH, CN, CSHI, CSHR, SH, SN, ZI, ZR, + * DCOSH, DSINH + SH = DSINH(ZR) + CH = DCOSH(ZR) + SN = DSIN(ZI) + CN = DCOS(ZI) + CSHR = SH*CN + CSHI = CH*SN + CCHR = CH*CN + CCHI = SH*SN + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zsqrt.f julia-0.2.1~quantal7/deps/openspecfun/amos/zsqrt.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zsqrt.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zsqrt.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,44 @@ + SUBROUTINE ZSQRT(AR, AI, BR, BI) +C***BEGIN PROLOGUE ZSQRT +C***REFER TO ZBESH,ZBESI,ZBESJ,ZBESK,ZBESY,ZAIRY,ZBIRY +C +C DOUBLE PRECISION COMPLEX SQUARE ROOT, B=CSQRT(A) +C +C***ROUTINES CALLED ZABS +C***END PROLOGUE ZSQRT + DOUBLE PRECISION AR, AI, BR, BI, ZM, DTHETA, DPI, DRT + DOUBLE PRECISION ZABS + DATA DRT , DPI / 7.071067811865475244008443621D-1, + 1 3.141592653589793238462643383D+0/ + ZM = ZABS(COMPLEX(AR,AI)) + ZM = DSQRT(ZM) + IF (AR.EQ.0.0D+0) GO TO 10 + IF (AI.EQ.0.0D+0) GO TO 20 + DTHETA = DATAN(AI/AR) + IF (DTHETA.LE.0.0D+0) GO TO 40 + IF (AR.LT.0.0D+0) DTHETA = DTHETA - DPI + GO TO 50 + 10 IF (AI.GT.0.0D+0) GO TO 60 + IF (AI.LT.0.0D+0) GO TO 70 + BR = 0.0D+0 + BI = 0.0D+0 + RETURN + 20 IF (AR.GT.0.0D+0) GO TO 30 + BR = 0.0D+0 + BI = DSQRT(DABS(AR)) + RETURN + 30 BR = DSQRT(AR) + BI = 0.0D+0 + RETURN + 40 IF (AR.LT.0.0D+0) DTHETA = DTHETA + DPI + 50 DTHETA = DTHETA*0.5D+0 + BR = ZM*DCOS(DTHETA) + BI = ZM*DSIN(DTHETA) + RETURN + 60 BR = ZM*DRT + BI = ZM*DRT + RETURN + 70 BR = ZM*DRT + BI = -ZM*DRT + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zuchk.f julia-0.2.1~quantal7/deps/openspecfun/amos/zuchk.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zuchk.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zuchk.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,28 @@ + SUBROUTINE ZUCHK(YR, YI, NZ, ASCLE, TOL) +C***BEGIN PROLOGUE ZUCHK +C***REFER TO ZSERI,ZUOIK,ZUNK1,ZUNK2,ZUNI1,ZUNI2,ZKSCL +C +C Y ENTERS AS A SCALED QUANTITY WHOSE MAGNITUDE IS GREATER THAN +C EXP(-ALIM)=ASCLE=1.0E+3*D1MACH(1)/TOL. THE TEST IS MADE TO SEE +C IF THE MAGNITUDE OF THE REAL OR IMAGINARY PART WOULD UNDERFLOW +C WHEN Y IS SCALED (BY TOL) TO ITS PROPER VALUE. Y IS ACCEPTED +C IF THE UNDERFLOW IS AT LEAST ONE PRECISION BELOW THE MAGNITUDE +C OF THE LARGEST COMPONENT; OTHERWISE THE PHASE ANGLE DOES NOT HAVE +C ABSOLUTE ACCURACY AND AN UNDERFLOW IS ASSUMED. +C +C***ROUTINES CALLED (NONE) +C***END PROLOGUE ZUCHK +C +C COMPLEX Y + DOUBLE PRECISION ASCLE, SS, ST, TOL, WR, WI, YR, YI + INTEGER NZ + NZ = 0 + WR = DABS(YR) + WI = DABS(YI) + ST = DMIN1(WR,WI) + IF (ST.GT.ASCLE) RETURN + SS = DMAX1(WR,WI) + ST = ST/TOL + IF (SS.LT.ST) NZ = 1 + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zunhj.f julia-0.2.1~quantal7/deps/openspecfun/amos/zunhj.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zunhj.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zunhj.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,714 @@ + SUBROUTINE ZUNHJ(ZR, ZI, FNU, IPMTR, TOL, PHIR, PHII, ARGR, ARGI, + * ZETA1R, ZETA1I, ZETA2R, ZETA2I, ASUMR, ASUMI, BSUMR, BSUMI) +C***BEGIN PROLOGUE ZUNHJ +C***REFER TO ZBESI,ZBESK +C +C REFERENCES +C HANDBOOK OF MATHEMATICAL FUNCTIONS BY M. ABRAMOWITZ AND I.A. +C STEGUN, AMS55, NATIONAL BUREAU OF STANDARDS, 1965, CHAPTER 9. +C +C ASYMPTOTICS AND SPECIAL FUNCTIONS BY F.W.J. OLVER, ACADEMIC +C PRESS, N.Y., 1974, PAGE 420 +C +C ABSTRACT +C ZUNHJ COMPUTES PARAMETERS FOR BESSEL FUNCTIONS C(FNU,Z) = +C J(FNU,Z), Y(FNU,Z) OR H(I,FNU,Z) I=1,2 FOR LARGE ORDERS FNU +C BY MEANS OF THE UNIFORM ASYMPTOTIC EXPANSION +C +C C(FNU,Z)=C1*PHI*( ASUM*AIRY(ARG) + C2*BSUM*DAIRY(ARG) ) +C +C FOR PROPER CHOICES OF C1, C2, AIRY AND DAIRY WHERE AIRY IS +C AN AIRY FUNCTION AND DAIRY IS ITS DERIVATIVE. +C +C (2/3)*FNU*ZETA**1.5 = ZETA1-ZETA2, +C +C ZETA1=0.5*FNU*CLOG((1+W)/(1-W)), ZETA2=FNU*W FOR SCALING +C PURPOSES IN AIRY FUNCTIONS FROM CAIRY OR CBIRY. +C +C MCONJ=SIGN OF AIMAG(Z), BUT IS AMBIGUOUS WHEN Z IS REAL AND +C MUST BE SPECIFIED. IPMTR=0 RETURNS ALL PARAMETERS. IPMTR= +C 1 COMPUTES ALL EXCEPT ASUM AND BSUM. +C +C***ROUTINES CALLED ZABS,ZDIV,ZLOG,ZSQRT,D1MACH +C***END PROLOGUE ZUNHJ +C COMPLEX ARG,ASUM,BSUM,CFNU,CONE,CR,CZERO,DR,P,PHI,PRZTH,PTFN, +C *RFN13,RTZTA,RZTH,SUMA,SUMB,TFN,T2,UP,W,W2,Z,ZA,ZB,ZC,ZETA,ZETA1, +C *ZETA2,ZTH + DOUBLE PRECISION ALFA, ANG, AP, AR, ARGI, ARGR, ASUMI, ASUMR, + * ATOL, AW2, AZTH, BETA, BR, BSUMI, BSUMR, BTOL, C, CONEI, CONER, + * CRI, CRR, DRI, DRR, EX1, EX2, FNU, FN13, FN23, GAMA, GPI, HPI, + * PHII, PHIR, PI, PP, PR, PRZTHI, PRZTHR, PTFNI, PTFNR, RAW, RAW2, + * RAZTH, RFNU, RFNU2, RFN13, RTZTI, RTZTR, RZTHI, RZTHR, STI, STR, + * SUMAI, SUMAR, SUMBI, SUMBR, TEST, TFNI, TFNR, THPI, TOL, TZAI, + * TZAR, T2I, T2R, UPI, UPR, WI, WR, W2I, W2R, ZAI, ZAR, ZBI, ZBR, + * ZCI, ZCR, ZEROI, ZEROR, ZETAI, ZETAR, ZETA1I, ZETA1R, ZETA2I, + * ZETA2R, ZI, ZR, ZTHI, ZTHR, ZABS, AC, D1MACH + INTEGER IAS, IBS, IPMTR, IS, J, JR, JU, K, KMAX, KP1, KS, L, LR, + * LRP1, L1, L2, M, IDUM + DIMENSION AR(14), BR(14), C(105), ALFA(180), BETA(210), GAMA(30), + * AP(30), PR(30), PI(30), UPR(14), UPI(14), CRR(14), CRI(14), + * DRR(14), DRI(14) + DATA AR(1), AR(2), AR(3), AR(4), AR(5), AR(6), AR(7), AR(8), + 1 AR(9), AR(10), AR(11), AR(12), AR(13), AR(14)/ + 2 1.00000000000000000D+00, 1.04166666666666667D-01, + 3 8.35503472222222222D-02, 1.28226574556327160D-01, + 4 2.91849026464140464D-01, 8.81627267443757652D-01, + 5 3.32140828186276754D+00, 1.49957629868625547D+01, + 6 7.89230130115865181D+01, 4.74451538868264323D+02, + 7 3.20749009089066193D+03, 2.40865496408740049D+04, + 8 1.98923119169509794D+05, 1.79190200777534383D+06/ + DATA BR(1), BR(2), BR(3), BR(4), BR(5), BR(6), BR(7), BR(8), + 1 BR(9), BR(10), BR(11), BR(12), BR(13), BR(14)/ + 2 1.00000000000000000D+00, -1.45833333333333333D-01, + 3 -9.87413194444444444D-02, -1.43312053915895062D-01, + 4 -3.17227202678413548D-01, -9.42429147957120249D-01, + 5 -3.51120304082635426D+00, -1.57272636203680451D+01, + 6 -8.22814390971859444D+01, -4.92355370523670524D+02, + 7 -3.31621856854797251D+03, -2.48276742452085896D+04, + 8 -2.04526587315129788D+05, -1.83844491706820990D+06/ + DATA C(1), C(2), C(3), C(4), C(5), C(6), C(7), C(8), C(9), C(10), + 1 C(11), C(12), C(13), C(14), C(15), C(16), C(17), C(18), + 2 C(19), C(20), C(21), C(22), C(23), C(24)/ + 3 1.00000000000000000D+00, -2.08333333333333333D-01, + 4 1.25000000000000000D-01, 3.34201388888888889D-01, + 5 -4.01041666666666667D-01, 7.03125000000000000D-02, + 6 -1.02581259645061728D+00, 1.84646267361111111D+00, + 7 -8.91210937500000000D-01, 7.32421875000000000D-02, + 8 4.66958442342624743D+00, -1.12070026162229938D+01, + 9 8.78912353515625000D+00, -2.36408691406250000D+00, + A 1.12152099609375000D-01, -2.82120725582002449D+01, + B 8.46362176746007346D+01, -9.18182415432400174D+01, + C 4.25349987453884549D+01, -7.36879435947963170D+00, + D 2.27108001708984375D-01, 2.12570130039217123D+02, + E -7.65252468141181642D+02, 1.05999045252799988D+03/ + DATA C(25), C(26), C(27), C(28), C(29), C(30), C(31), C(32), + 1 C(33), C(34), C(35), C(36), C(37), C(38), C(39), C(40), + 2 C(41), C(42), C(43), C(44), C(45), C(46), C(47), C(48)/ + 3 -6.99579627376132541D+02, 2.18190511744211590D+02, + 4 -2.64914304869515555D+01, 5.72501420974731445D-01, + 5 -1.91945766231840700D+03, 8.06172218173730938D+03, + 6 -1.35865500064341374D+04, 1.16553933368645332D+04, + 7 -5.30564697861340311D+03, 1.20090291321635246D+03, + 8 -1.08090919788394656D+02, 1.72772750258445740D+00, + 9 2.02042913309661486D+04, -9.69805983886375135D+04, + A 1.92547001232531532D+05, -2.03400177280415534D+05, + B 1.22200464983017460D+05, -4.11926549688975513D+04, + C 7.10951430248936372D+03, -4.93915304773088012D+02, + D 6.07404200127348304D+00, -2.42919187900551333D+05, + E 1.31176361466297720D+06, -2.99801591853810675D+06/ + DATA C(49), C(50), C(51), C(52), C(53), C(54), C(55), C(56), + 1 C(57), C(58), C(59), C(60), C(61), C(62), C(63), C(64), + 2 C(65), C(66), C(67), C(68), C(69), C(70), C(71), C(72)/ + 3 3.76327129765640400D+06, -2.81356322658653411D+06, + 4 1.26836527332162478D+06, -3.31645172484563578D+05, + 5 4.52187689813627263D+04, -2.49983048181120962D+03, + 6 2.43805296995560639D+01, 3.28446985307203782D+06, + 7 -1.97068191184322269D+07, 5.09526024926646422D+07, + 8 -7.41051482115326577D+07, 6.63445122747290267D+07, + 9 -3.75671766607633513D+07, 1.32887671664218183D+07, + A -2.78561812808645469D+06, 3.08186404612662398D+05, + B -1.38860897537170405D+04, 1.10017140269246738D+02, + C -4.93292536645099620D+07, 3.25573074185765749D+08, + D -9.39462359681578403D+08, 1.55359689957058006D+09, + E -1.62108055210833708D+09, 1.10684281682301447D+09/ + DATA C(73), C(74), C(75), C(76), C(77), C(78), C(79), C(80), + 1 C(81), C(82), C(83), C(84), C(85), C(86), C(87), C(88), + 2 C(89), C(90), C(91), C(92), C(93), C(94), C(95), C(96)/ + 3 -4.95889784275030309D+08, 1.42062907797533095D+08, + 4 -2.44740627257387285D+07, 2.24376817792244943D+06, + 5 -8.40054336030240853D+04, 5.51335896122020586D+02, + 6 8.14789096118312115D+08, -5.86648149205184723D+09, + 7 1.86882075092958249D+10, -3.46320433881587779D+10, + 8 4.12801855797539740D+10, -3.30265997498007231D+10, + 9 1.79542137311556001D+10, -6.56329379261928433D+09, + A 1.55927986487925751D+09, -2.25105661889415278D+08, + B 1.73951075539781645D+07, -5.49842327572288687D+05, + C 3.03809051092238427D+03, -1.46792612476956167D+10, + D 1.14498237732025810D+11, -3.99096175224466498D+11, + E 8.19218669548577329D+11, -1.09837515608122331D+12/ + DATA C(97), C(98), C(99), C(100), C(101), C(102), C(103), C(104), + 1 C(105)/ + 2 1.00815810686538209D+12, -6.45364869245376503D+11, + 3 2.87900649906150589D+11, -8.78670721780232657D+10, + 4 1.76347306068349694D+10, -2.16716498322379509D+09, + 5 1.43157876718888981D+08, -3.87183344257261262D+06, + 6 1.82577554742931747D+04/ + DATA ALFA(1), ALFA(2), ALFA(3), ALFA(4), ALFA(5), ALFA(6), + 1 ALFA(7), ALFA(8), ALFA(9), ALFA(10), ALFA(11), ALFA(12), + 2 ALFA(13), ALFA(14), ALFA(15), ALFA(16), ALFA(17), ALFA(18), + 3 ALFA(19), ALFA(20), ALFA(21), ALFA(22)/ + 4 -4.44444444444444444D-03, -9.22077922077922078D-04, + 5 -8.84892884892884893D-05, 1.65927687832449737D-04, + 6 2.46691372741792910D-04, 2.65995589346254780D-04, + 7 2.61824297061500945D-04, 2.48730437344655609D-04, + 8 2.32721040083232098D-04, 2.16362485712365082D-04, + 9 2.00738858762752355D-04, 1.86267636637545172D-04, + A 1.73060775917876493D-04, 1.61091705929015752D-04, + B 1.50274774160908134D-04, 1.40503497391269794D-04, + C 1.31668816545922806D-04, 1.23667445598253261D-04, + D 1.16405271474737902D-04, 1.09798298372713369D-04, + E 1.03772410422992823D-04, 9.82626078369363448D-05/ + DATA ALFA(23), ALFA(24), ALFA(25), ALFA(26), ALFA(27), ALFA(28), + 1 ALFA(29), ALFA(30), ALFA(31), ALFA(32), ALFA(33), ALFA(34), + 2 ALFA(35), ALFA(36), ALFA(37), ALFA(38), ALFA(39), ALFA(40), + 3 ALFA(41), ALFA(42), ALFA(43), ALFA(44)/ + 4 9.32120517249503256D-05, 8.85710852478711718D-05, + 5 8.42963105715700223D-05, 8.03497548407791151D-05, + 6 7.66981345359207388D-05, 7.33122157481777809D-05, + 7 7.01662625163141333D-05, 6.72375633790160292D-05, + 8 6.93735541354588974D-04, 2.32241745182921654D-04, + 9 -1.41986273556691197D-05, -1.16444931672048640D-04, + A -1.50803558053048762D-04, -1.55121924918096223D-04, + B -1.46809756646465549D-04, -1.33815503867491367D-04, + C -1.19744975684254051D-04, -1.06184319207974020D-04, + D -9.37699549891194492D-05, -8.26923045588193274D-05, + E -7.29374348155221211D-05, -6.44042357721016283D-05/ + DATA ALFA(45), ALFA(46), ALFA(47), ALFA(48), ALFA(49), ALFA(50), + 1 ALFA(51), ALFA(52), ALFA(53), ALFA(54), ALFA(55), ALFA(56), + 2 ALFA(57), ALFA(58), ALFA(59), ALFA(60), ALFA(61), ALFA(62), + 3 ALFA(63), ALFA(64), ALFA(65), ALFA(66)/ + 4 -5.69611566009369048D-05, -5.04731044303561628D-05, + 5 -4.48134868008882786D-05, -3.98688727717598864D-05, + 6 -3.55400532972042498D-05, -3.17414256609022480D-05, + 7 -2.83996793904174811D-05, -2.54522720634870566D-05, + 8 -2.28459297164724555D-05, -2.05352753106480604D-05, + 9 -1.84816217627666085D-05, -1.66519330021393806D-05, + A -1.50179412980119482D-05, -1.35554031379040526D-05, + B -1.22434746473858131D-05, -1.10641884811308169D-05, + C -3.54211971457743841D-04, -1.56161263945159416D-04, + D 3.04465503594936410D-05, 1.30198655773242693D-04, + E 1.67471106699712269D-04, 1.70222587683592569D-04/ + DATA ALFA(67), ALFA(68), ALFA(69), ALFA(70), ALFA(71), ALFA(72), + 1 ALFA(73), ALFA(74), ALFA(75), ALFA(76), ALFA(77), ALFA(78), + 2 ALFA(79), ALFA(80), ALFA(81), ALFA(82), ALFA(83), ALFA(84), + 3 ALFA(85), ALFA(86), ALFA(87), ALFA(88)/ + 4 1.56501427608594704D-04, 1.36339170977445120D-04, + 5 1.14886692029825128D-04, 9.45869093034688111D-05, + 6 7.64498419250898258D-05, 6.07570334965197354D-05, + 7 4.74394299290508799D-05, 3.62757512005344297D-05, + 8 2.69939714979224901D-05, 1.93210938247939253D-05, + 9 1.30056674793963203D-05, 7.82620866744496661D-06, + A 3.59257485819351583D-06, 1.44040049814251817D-07, + B -2.65396769697939116D-06, -4.91346867098485910D-06, + C -6.72739296091248287D-06, -8.17269379678657923D-06, + D -9.31304715093561232D-06, -1.02011418798016441D-05, + E -1.08805962510592880D-05, -1.13875481509603555D-05/ + DATA ALFA(89), ALFA(90), ALFA(91), ALFA(92), ALFA(93), ALFA(94), + 1 ALFA(95), ALFA(96), ALFA(97), ALFA(98), ALFA(99), ALFA(100), + 2 ALFA(101), ALFA(102), ALFA(103), ALFA(104), ALFA(105), + 3 ALFA(106), ALFA(107), ALFA(108), ALFA(109), ALFA(110)/ + 4 -1.17519675674556414D-05, -1.19987364870944141D-05, + 5 3.78194199201772914D-04, 2.02471952761816167D-04, + 6 -6.37938506318862408D-05, -2.38598230603005903D-04, + 7 -3.10916256027361568D-04, -3.13680115247576316D-04, + 8 -2.78950273791323387D-04, -2.28564082619141374D-04, + 9 -1.75245280340846749D-04, -1.25544063060690348D-04, + A -8.22982872820208365D-05, -4.62860730588116458D-05, + B -1.72334302366962267D-05, 5.60690482304602267D-06, + C 2.31395443148286800D-05, 3.62642745856793957D-05, + D 4.58006124490188752D-05, 5.24595294959114050D-05, + E 5.68396208545815266D-05, 5.94349820393104052D-05/ + DATA ALFA(111), ALFA(112), ALFA(113), ALFA(114), ALFA(115), + 1 ALFA(116), ALFA(117), ALFA(118), ALFA(119), ALFA(120), + 2 ALFA(121), ALFA(122), ALFA(123), ALFA(124), ALFA(125), + 3 ALFA(126), ALFA(127), ALFA(128), ALFA(129), ALFA(130)/ + 4 6.06478527578421742D-05, 6.08023907788436497D-05, + 5 6.01577894539460388D-05, 5.89199657344698500D-05, + 6 5.72515823777593053D-05, 5.52804375585852577D-05, + 7 5.31063773802880170D-05, 5.08069302012325706D-05, + 8 4.84418647620094842D-05, 4.60568581607475370D-05, + 9 -6.91141397288294174D-04, -4.29976633058871912D-04, + A 1.83067735980039018D-04, 6.60088147542014144D-04, + B 8.75964969951185931D-04, 8.77335235958235514D-04, + C 7.49369585378990637D-04, 5.63832329756980918D-04, + D 3.68059319971443156D-04, 1.88464535514455599D-04/ + DATA ALFA(131), ALFA(132), ALFA(133), ALFA(134), ALFA(135), + 1 ALFA(136), ALFA(137), ALFA(138), ALFA(139), ALFA(140), + 2 ALFA(141), ALFA(142), ALFA(143), ALFA(144), ALFA(145), + 3 ALFA(146), ALFA(147), ALFA(148), ALFA(149), ALFA(150)/ + 4 3.70663057664904149D-05, -8.28520220232137023D-05, + 5 -1.72751952869172998D-04, -2.36314873605872983D-04, + 6 -2.77966150694906658D-04, -3.02079514155456919D-04, + 7 -3.12594712643820127D-04, -3.12872558758067163D-04, + 8 -3.05678038466324377D-04, -2.93226470614557331D-04, + 9 -2.77255655582934777D-04, -2.59103928467031709D-04, + A -2.39784014396480342D-04, -2.20048260045422848D-04, + B -2.00443911094971498D-04, -1.81358692210970687D-04, + C -1.63057674478657464D-04, -1.45712672175205844D-04, + D -1.29425421983924587D-04, -1.14245691942445952D-04/ + DATA ALFA(151), ALFA(152), ALFA(153), ALFA(154), ALFA(155), + 1 ALFA(156), ALFA(157), ALFA(158), ALFA(159), ALFA(160), + 2 ALFA(161), ALFA(162), ALFA(163), ALFA(164), ALFA(165), + 3 ALFA(166), ALFA(167), ALFA(168), ALFA(169), ALFA(170)/ + 4 1.92821964248775885D-03, 1.35592576302022234D-03, + 5 -7.17858090421302995D-04, -2.58084802575270346D-03, + 6 -3.49271130826168475D-03, -3.46986299340960628D-03, + 7 -2.82285233351310182D-03, -1.88103076404891354D-03, + 8 -8.89531718383947600D-04, 3.87912102631035228D-06, + 9 7.28688540119691412D-04, 1.26566373053457758D-03, + A 1.62518158372674427D-03, 1.83203153216373172D-03, + B 1.91588388990527909D-03, 1.90588846755546138D-03, + C 1.82798982421825727D-03, 1.70389506421121530D-03, + D 1.55097127171097686D-03, 1.38261421852276159D-03/ + DATA ALFA(171), ALFA(172), ALFA(173), ALFA(174), ALFA(175), + 1 ALFA(176), ALFA(177), ALFA(178), ALFA(179), ALFA(180)/ + 2 1.20881424230064774D-03, 1.03676532638344962D-03, + 3 8.71437918068619115D-04, 7.16080155297701002D-04, + 4 5.72637002558129372D-04, 4.42089819465802277D-04, + 5 3.24724948503090564D-04, 2.20342042730246599D-04, + 6 1.28412898401353882D-04, 4.82005924552095464D-05/ + DATA BETA(1), BETA(2), BETA(3), BETA(4), BETA(5), BETA(6), + 1 BETA(7), BETA(8), BETA(9), BETA(10), BETA(11), BETA(12), + 2 BETA(13), BETA(14), BETA(15), BETA(16), BETA(17), BETA(18), + 3 BETA(19), BETA(20), BETA(21), BETA(22)/ + 4 1.79988721413553309D-02, 5.59964911064388073D-03, + 5 2.88501402231132779D-03, 1.80096606761053941D-03, + 6 1.24753110589199202D-03, 9.22878876572938311D-04, + 7 7.14430421727287357D-04, 5.71787281789704872D-04, + 8 4.69431007606481533D-04, 3.93232835462916638D-04, + 9 3.34818889318297664D-04, 2.88952148495751517D-04, + A 2.52211615549573284D-04, 2.22280580798883327D-04, + B 1.97541838033062524D-04, 1.76836855019718004D-04, + C 1.59316899661821081D-04, 1.44347930197333986D-04, + D 1.31448068119965379D-04, 1.20245444949302884D-04, + E 1.10449144504599392D-04, 1.01828770740567258D-04/ + DATA BETA(23), BETA(24), BETA(25), BETA(26), BETA(27), BETA(28), + 1 BETA(29), BETA(30), BETA(31), BETA(32), BETA(33), BETA(34), + 2 BETA(35), BETA(36), BETA(37), BETA(38), BETA(39), BETA(40), + 3 BETA(41), BETA(42), BETA(43), BETA(44)/ + 4 9.41998224204237509D-05, 8.74130545753834437D-05, + 5 8.13466262162801467D-05, 7.59002269646219339D-05, + 6 7.09906300634153481D-05, 6.65482874842468183D-05, + 7 6.25146958969275078D-05, 5.88403394426251749D-05, + 8 -1.49282953213429172D-03, -8.78204709546389328D-04, + 9 -5.02916549572034614D-04, -2.94822138512746025D-04, + A -1.75463996970782828D-04, -1.04008550460816434D-04, + B -5.96141953046457895D-05, -3.12038929076098340D-05, + C -1.26089735980230047D-05, -2.42892608575730389D-07, + D 8.05996165414273571D-06, 1.36507009262147391D-05, + E 1.73964125472926261D-05, 1.98672978842133780D-05/ + DATA BETA(45), BETA(46), BETA(47), BETA(48), BETA(49), BETA(50), + 1 BETA(51), BETA(52), BETA(53), BETA(54), BETA(55), BETA(56), + 2 BETA(57), BETA(58), BETA(59), BETA(60), BETA(61), BETA(62), + 3 BETA(63), BETA(64), BETA(65), BETA(66)/ + 4 2.14463263790822639D-05, 2.23954659232456514D-05, + 5 2.28967783814712629D-05, 2.30785389811177817D-05, + 6 2.30321976080909144D-05, 2.28236073720348722D-05, + 7 2.25005881105292418D-05, 2.20981015361991429D-05, + 8 2.16418427448103905D-05, 2.11507649256220843D-05, + 9 2.06388749782170737D-05, 2.01165241997081666D-05, + A 1.95913450141179244D-05, 1.90689367910436740D-05, + B 1.85533719641636667D-05, 1.80475722259674218D-05, + C 5.52213076721292790D-04, 4.47932581552384646D-04, + D 2.79520653992020589D-04, 1.52468156198446602D-04, + E 6.93271105657043598D-05, 1.76258683069991397D-05/ + DATA BETA(67), BETA(68), BETA(69), BETA(70), BETA(71), BETA(72), + 1 BETA(73), BETA(74), BETA(75), BETA(76), BETA(77), BETA(78), + 2 BETA(79), BETA(80), BETA(81), BETA(82), BETA(83), BETA(84), + 3 BETA(85), BETA(86), BETA(87), BETA(88)/ + 4 -1.35744996343269136D-05, -3.17972413350427135D-05, + 5 -4.18861861696693365D-05, -4.69004889379141029D-05, + 6 -4.87665447413787352D-05, -4.87010031186735069D-05, + 7 -4.74755620890086638D-05, -4.55813058138628452D-05, + 8 -4.33309644511266036D-05, -4.09230193157750364D-05, + 9 -3.84822638603221274D-05, -3.60857167535410501D-05, + A -3.37793306123367417D-05, -3.15888560772109621D-05, + B -2.95269561750807315D-05, -2.75978914828335759D-05, + C -2.58006174666883713D-05, -2.41308356761280200D-05, + D -2.25823509518346033D-05, -2.11479656768912971D-05, + E -1.98200638885294927D-05, -1.85909870801065077D-05/ + DATA BETA(89), BETA(90), BETA(91), BETA(92), BETA(93), BETA(94), + 1 BETA(95), BETA(96), BETA(97), BETA(98), BETA(99), BETA(100), + 2 BETA(101), BETA(102), BETA(103), BETA(104), BETA(105), + 3 BETA(106), BETA(107), BETA(108), BETA(109), BETA(110)/ + 4 -1.74532699844210224D-05, -1.63997823854497997D-05, + 5 -4.74617796559959808D-04, -4.77864567147321487D-04, + 6 -3.20390228067037603D-04, -1.61105016119962282D-04, + 7 -4.25778101285435204D-05, 3.44571294294967503D-05, + 8 7.97092684075674924D-05, 1.03138236708272200D-04, + 9 1.12466775262204158D-04, 1.13103642108481389D-04, + A 1.08651634848774268D-04, 1.01437951597661973D-04, + B 9.29298396593363896D-05, 8.40293133016089978D-05, + C 7.52727991349134062D-05, 6.69632521975730872D-05, + D 5.92564547323194704D-05, 5.22169308826975567D-05, + E 4.58539485165360646D-05, 4.01445513891486808D-05/ + DATA BETA(111), BETA(112), BETA(113), BETA(114), BETA(115), + 1 BETA(116), BETA(117), BETA(118), BETA(119), BETA(120), + 2 BETA(121), BETA(122), BETA(123), BETA(124), BETA(125), + 3 BETA(126), BETA(127), BETA(128), BETA(129), BETA(130)/ + 4 3.50481730031328081D-05, 3.05157995034346659D-05, + 5 2.64956119950516039D-05, 2.29363633690998152D-05, + 6 1.97893056664021636D-05, 1.70091984636412623D-05, + 7 1.45547428261524004D-05, 1.23886640995878413D-05, + 8 1.04775876076583236D-05, 8.79179954978479373D-06, + 9 7.36465810572578444D-04, 8.72790805146193976D-04, + A 6.22614862573135066D-04, 2.85998154194304147D-04, + B 3.84737672879366102D-06, -1.87906003636971558D-04, + C -2.97603646594554535D-04, -3.45998126832656348D-04, + D -3.53382470916037712D-04, -3.35715635775048757D-04/ + DATA BETA(131), BETA(132), BETA(133), BETA(134), BETA(135), + 1 BETA(136), BETA(137), BETA(138), BETA(139), BETA(140), + 2 BETA(141), BETA(142), BETA(143), BETA(144), BETA(145), + 3 BETA(146), BETA(147), BETA(148), BETA(149), BETA(150)/ + 4 -3.04321124789039809D-04, -2.66722723047612821D-04, + 5 -2.27654214122819527D-04, -1.89922611854562356D-04, + 6 -1.55058918599093870D-04, -1.23778240761873630D-04, + 7 -9.62926147717644187D-05, -7.25178327714425337D-05, + 8 -5.22070028895633801D-05, -3.50347750511900522D-05, + 9 -2.06489761035551757D-05, -8.70106096849767054D-06, + A 1.13698686675100290D-06, 9.16426474122778849D-06, + B 1.56477785428872620D-05, 2.08223629482466847D-05, + C 2.48923381004595156D-05, 2.80340509574146325D-05, + D 3.03987774629861915D-05, 3.21156731406700616D-05/ + DATA BETA(151), BETA(152), BETA(153), BETA(154), BETA(155), + 1 BETA(156), BETA(157), BETA(158), BETA(159), BETA(160), + 2 BETA(161), BETA(162), BETA(163), BETA(164), BETA(165), + 3 BETA(166), BETA(167), BETA(168), BETA(169), BETA(170)/ + 4 -1.80182191963885708D-03, -2.43402962938042533D-03, + 5 -1.83422663549856802D-03, -7.62204596354009765D-04, + 6 2.39079475256927218D-04, 9.49266117176881141D-04, + 7 1.34467449701540359D-03, 1.48457495259449178D-03, + 8 1.44732339830617591D-03, 1.30268261285657186D-03, + 9 1.10351597375642682D-03, 8.86047440419791759D-04, + A 6.73073208165665473D-04, 4.77603872856582378D-04, + B 3.05991926358789362D-04, 1.60315694594721630D-04, + C 4.00749555270613286D-05, -5.66607461635251611D-05, + D -1.32506186772982638D-04, -1.90296187989614057D-04/ + DATA BETA(171), BETA(172), BETA(173), BETA(174), BETA(175), + 1 BETA(176), BETA(177), BETA(178), BETA(179), BETA(180), + 2 BETA(181), BETA(182), BETA(183), BETA(184), BETA(185), + 3 BETA(186), BETA(187), BETA(188), BETA(189), BETA(190)/ + 4 -2.32811450376937408D-04, -2.62628811464668841D-04, + 5 -2.82050469867598672D-04, -2.93081563192861167D-04, + 6 -2.97435962176316616D-04, -2.96557334239348078D-04, + 7 -2.91647363312090861D-04, -2.83696203837734166D-04, + 8 -2.73512317095673346D-04, -2.61750155806768580D-04, + 9 6.38585891212050914D-03, 9.62374215806377941D-03, + A 7.61878061207001043D-03, 2.83219055545628054D-03, + B -2.09841352012720090D-03, -5.73826764216626498D-03, + C -7.70804244495414620D-03, -8.21011692264844401D-03, + D -7.65824520346905413D-03, -6.47209729391045177D-03/ + DATA BETA(191), BETA(192), BETA(193), BETA(194), BETA(195), + 1 BETA(196), BETA(197), BETA(198), BETA(199), BETA(200), + 2 BETA(201), BETA(202), BETA(203), BETA(204), BETA(205), + 3 BETA(206), BETA(207), BETA(208), BETA(209), BETA(210)/ + 4 -4.99132412004966473D-03, -3.45612289713133280D-03, + 5 -2.01785580014170775D-03, -7.59430686781961401D-04, + 6 2.84173631523859138D-04, 1.10891667586337403D-03, + 7 1.72901493872728771D-03, 2.16812590802684701D-03, + 8 2.45357710494539735D-03, 2.61281821058334862D-03, + 9 2.67141039656276912D-03, 2.65203073395980430D-03, + A 2.57411652877287315D-03, 2.45389126236094427D-03, + B 2.30460058071795494D-03, 2.13684837686712662D-03, + C 1.95896528478870911D-03, 1.77737008679454412D-03, + D 1.59690280765839059D-03, 1.42111975664438546D-03/ + DATA GAMA(1), GAMA(2), GAMA(3), GAMA(4), GAMA(5), GAMA(6), + 1 GAMA(7), GAMA(8), GAMA(9), GAMA(10), GAMA(11), GAMA(12), + 2 GAMA(13), GAMA(14), GAMA(15), GAMA(16), GAMA(17), GAMA(18), + 3 GAMA(19), GAMA(20), GAMA(21), GAMA(22)/ + 4 6.29960524947436582D-01, 2.51984209978974633D-01, + 5 1.54790300415655846D-01, 1.10713062416159013D-01, + 6 8.57309395527394825D-02, 6.97161316958684292D-02, + 7 5.86085671893713576D-02, 5.04698873536310685D-02, + 8 4.42600580689154809D-02, 3.93720661543509966D-02, + 9 3.54283195924455368D-02, 3.21818857502098231D-02, + A 2.94646240791157679D-02, 2.71581677112934479D-02, + B 2.51768272973861779D-02, 2.34570755306078891D-02, + C 2.19508390134907203D-02, 2.06210828235646240D-02, + D 1.94388240897880846D-02, 1.83810633800683158D-02, + E 1.74293213231963172D-02, 1.65685837786612353D-02/ + DATA GAMA(23), GAMA(24), GAMA(25), GAMA(26), GAMA(27), GAMA(28), + 1 GAMA(29), GAMA(30)/ + 2 1.57865285987918445D-02, 1.50729501494095594D-02, + 3 1.44193250839954639D-02, 1.38184805735341786D-02, + 4 1.32643378994276568D-02, 1.27517121970498651D-02, + 5 1.22761545318762767D-02, 1.18338262398482403D-02/ + DATA EX1, EX2, HPI, GPI, THPI / + 1 3.33333333333333333D-01, 6.66666666666666667D-01, + 2 1.57079632679489662D+00, 3.14159265358979324D+00, + 3 4.71238898038468986D+00/ + DATA ZEROR,ZEROI,CONER,CONEI / 0.0D0, 0.0D0, 1.0D0, 0.0D0 / +C + RFNU = 1.0D0/FNU +C----------------------------------------------------------------------- +C OVERFLOW TEST (Z/FNU TOO SMALL) +C----------------------------------------------------------------------- + TEST = D1MACH(1)*1.0D+3 + AC = FNU*TEST + IF (DABS(ZR).GT.AC .OR. DABS(ZI).GT.AC) GO TO 15 + ZETA1R = 2.0D0*DABS(DLOG(TEST))+FNU + ZETA1I = 0.0D0 + ZETA2R = FNU + ZETA2I = 0.0D0 + PHIR = 1.0D0 + PHII = 0.0D0 + ARGR = 1.0D0 + ARGI = 0.0D0 + RETURN + 15 CONTINUE + ZBR = ZR*RFNU + ZBI = ZI*RFNU + RFNU2 = RFNU*RFNU +C----------------------------------------------------------------------- +C COMPUTE IN THE FOURTH QUADRANT +C----------------------------------------------------------------------- + FN13 = FNU**EX1 + FN23 = FN13*FN13 + RFN13 = 1.0D0/FN13 + W2R = CONER - ZBR*ZBR + ZBI*ZBI + W2I = CONEI - ZBR*ZBI - ZBR*ZBI + AW2 = ZABS(COMPLEX(W2R,W2I)) + IF (AW2.GT.0.25D0) GO TO 130 +C----------------------------------------------------------------------- +C POWER SERIES FOR CABS(W2).LE.0.25D0 +C----------------------------------------------------------------------- + K = 1 + PR(1) = CONER + PI(1) = CONEI + SUMAR = GAMA(1) + SUMAI = ZEROI + AP(1) = 1.0D0 + IF (AW2.LT.TOL) GO TO 20 + DO 10 K=2,30 + PR(K) = PR(K-1)*W2R - PI(K-1)*W2I + PI(K) = PR(K-1)*W2I + PI(K-1)*W2R + SUMAR = SUMAR + PR(K)*GAMA(K) + SUMAI = SUMAI + PI(K)*GAMA(K) + AP(K) = AP(K-1)*AW2 + IF (AP(K).LT.TOL) GO TO 20 + 10 CONTINUE + K = 30 + 20 CONTINUE + KMAX = K + ZETAR = W2R*SUMAR - W2I*SUMAI + ZETAI = W2R*SUMAI + W2I*SUMAR + ARGR = ZETAR*FN23 + ARGI = ZETAI*FN23 + CALL ZSQRT(SUMAR, SUMAI, ZAR, ZAI) + CALL ZSQRT(W2R, W2I, STR, STI) + ZETA2R = STR*FNU + ZETA2I = STI*FNU + STR = CONER + EX2*(ZETAR*ZAR-ZETAI*ZAI) + STI = CONEI + EX2*(ZETAR*ZAI+ZETAI*ZAR) + ZETA1R = STR*ZETA2R - STI*ZETA2I + ZETA1I = STR*ZETA2I + STI*ZETA2R + ZAR = ZAR + ZAR + ZAI = ZAI + ZAI + CALL ZSQRT(ZAR, ZAI, STR, STI) + PHIR = STR*RFN13 + PHII = STI*RFN13 + IF (IPMTR.EQ.1) GO TO 120 +C----------------------------------------------------------------------- +C SUM SERIES FOR ASUM AND BSUM +C----------------------------------------------------------------------- + SUMBR = ZEROR + SUMBI = ZEROI + DO 30 K=1,KMAX + SUMBR = SUMBR + PR(K)*BETA(K) + SUMBI = SUMBI + PI(K)*BETA(K) + 30 CONTINUE + ASUMR = ZEROR + ASUMI = ZEROI + BSUMR = SUMBR + BSUMI = SUMBI + L1 = 0 + L2 = 30 + BTOL = TOL*(DABS(BSUMR)+DABS(BSUMI)) + ATOL = TOL + PP = 1.0D0 + IAS = 0 + IBS = 0 + IF (RFNU2.LT.TOL) GO TO 110 + DO 100 IS=2,7 + ATOL = ATOL/RFNU2 + PP = PP*RFNU2 + IF (IAS.EQ.1) GO TO 60 + SUMAR = ZEROR + SUMAI = ZEROI + DO 40 K=1,KMAX + M = L1 + K + SUMAR = SUMAR + PR(K)*ALFA(M) + SUMAI = SUMAI + PI(K)*ALFA(M) + IF (AP(K).LT.ATOL) GO TO 50 + 40 CONTINUE + 50 CONTINUE + ASUMR = ASUMR + SUMAR*PP + ASUMI = ASUMI + SUMAI*PP + IF (PP.LT.TOL) IAS = 1 + 60 CONTINUE + IF (IBS.EQ.1) GO TO 90 + SUMBR = ZEROR + SUMBI = ZEROI + DO 70 K=1,KMAX + M = L2 + K + SUMBR = SUMBR + PR(K)*BETA(M) + SUMBI = SUMBI + PI(K)*BETA(M) + IF (AP(K).LT.ATOL) GO TO 80 + 70 CONTINUE + 80 CONTINUE + BSUMR = BSUMR + SUMBR*PP + BSUMI = BSUMI + SUMBI*PP + IF (PP.LT.BTOL) IBS = 1 + 90 CONTINUE + IF (IAS.EQ.1 .AND. IBS.EQ.1) GO TO 110 + L1 = L1 + 30 + L2 = L2 + 30 + 100 CONTINUE + 110 CONTINUE + ASUMR = ASUMR + CONER + PP = RFNU*RFN13 + BSUMR = BSUMR*PP + BSUMI = BSUMI*PP + 120 CONTINUE + RETURN +C----------------------------------------------------------------------- +C CABS(W2).GT.0.25D0 +C----------------------------------------------------------------------- + 130 CONTINUE + CALL ZSQRT(W2R, W2I, WR, WI) + IF (WR.LT.0.0D0) WR = 0.0D0 + IF (WI.LT.0.0D0) WI = 0.0D0 + STR = CONER + WR + STI = WI + CALL ZDIV(STR, STI, ZBR, ZBI, ZAR, ZAI) + CALL ZLOG(ZAR, ZAI, ZCR, ZCI, IDUM) + IF (ZCI.LT.0.0D0) ZCI = 0.0D0 + IF (ZCI.GT.HPI) ZCI = HPI + IF (ZCR.LT.0.0D0) ZCR = 0.0D0 + ZTHR = (ZCR-WR)*1.5D0 + ZTHI = (ZCI-WI)*1.5D0 + ZETA1R = ZCR*FNU + ZETA1I = ZCI*FNU + ZETA2R = WR*FNU + ZETA2I = WI*FNU + AZTH = ZABS(COMPLEX(ZTHR,ZTHI)) + ANG = THPI + IF (ZTHR.GE.0.0D0 .AND. ZTHI.LT.0.0D0) GO TO 140 + ANG = HPI + IF (ZTHR.EQ.0.0D0) GO TO 140 + ANG = DATAN(ZTHI/ZTHR) + IF (ZTHR.LT.0.0D0) ANG = ANG + GPI + 140 CONTINUE + PP = AZTH**EX2 + ANG = ANG*EX2 + ZETAR = PP*DCOS(ANG) + ZETAI = PP*DSIN(ANG) + IF (ZETAI.LT.0.0D0) ZETAI = 0.0D0 + ARGR = ZETAR*FN23 + ARGI = ZETAI*FN23 + CALL ZDIV(ZTHR, ZTHI, ZETAR, ZETAI, RTZTR, RTZTI) + CALL ZDIV(RTZTR, RTZTI, WR, WI, ZAR, ZAI) + TZAR = ZAR + ZAR + TZAI = ZAI + ZAI + CALL ZSQRT(TZAR, TZAI, STR, STI) + PHIR = STR*RFN13 + PHII = STI*RFN13 + IF (IPMTR.EQ.1) GO TO 120 + RAW = 1.0D0/DSQRT(AW2) + STR = WR*RAW + STI = -WI*RAW + TFNR = STR*RFNU*RAW + TFNI = STI*RFNU*RAW + RAZTH = 1.0D0/AZTH + STR = ZTHR*RAZTH + STI = -ZTHI*RAZTH + RZTHR = STR*RAZTH*RFNU + RZTHI = STI*RAZTH*RFNU + ZCR = RZTHR*AR(2) + ZCI = RZTHI*AR(2) + RAW2 = 1.0D0/AW2 + STR = W2R*RAW2 + STI = -W2I*RAW2 + T2R = STR*RAW2 + T2I = STI*RAW2 + STR = T2R*C(2) + C(3) + STI = T2I*C(2) + UPR(2) = STR*TFNR - STI*TFNI + UPI(2) = STR*TFNI + STI*TFNR + BSUMR = UPR(2) + ZCR + BSUMI = UPI(2) + ZCI + ASUMR = ZEROR + ASUMI = ZEROI + IF (RFNU.LT.TOL) GO TO 220 + PRZTHR = RZTHR + PRZTHI = RZTHI + PTFNR = TFNR + PTFNI = TFNI + UPR(1) = CONER + UPI(1) = CONEI + PP = 1.0D0 + BTOL = TOL*(DABS(BSUMR)+DABS(BSUMI)) + KS = 0 + KP1 = 2 + L = 3 + IAS = 0 + IBS = 0 + DO 210 LR=2,12,2 + LRP1 = LR + 1 +C----------------------------------------------------------------------- +C COMPUTE TWO ADDITIONAL CR, DR, AND UP FOR TWO MORE TERMS IN +C NEXT SUMA AND SUMB +C----------------------------------------------------------------------- + DO 160 K=LR,LRP1 + KS = KS + 1 + KP1 = KP1 + 1 + L = L + 1 + ZAR = C(L) + ZAI = ZEROI + DO 150 J=2,KP1 + L = L + 1 + STR = ZAR*T2R - T2I*ZAI + C(L) + ZAI = ZAR*T2I + ZAI*T2R + ZAR = STR + 150 CONTINUE + STR = PTFNR*TFNR - PTFNI*TFNI + PTFNI = PTFNR*TFNI + PTFNI*TFNR + PTFNR = STR + UPR(KP1) = PTFNR*ZAR - PTFNI*ZAI + UPI(KP1) = PTFNI*ZAR + PTFNR*ZAI + CRR(KS) = PRZTHR*BR(KS+1) + CRI(KS) = PRZTHI*BR(KS+1) + STR = PRZTHR*RZTHR - PRZTHI*RZTHI + PRZTHI = PRZTHR*RZTHI + PRZTHI*RZTHR + PRZTHR = STR + DRR(KS) = PRZTHR*AR(KS+2) + DRI(KS) = PRZTHI*AR(KS+2) + 160 CONTINUE + PP = PP*RFNU2 + IF (IAS.EQ.1) GO TO 180 + SUMAR = UPR(LRP1) + SUMAI = UPI(LRP1) + JU = LRP1 + DO 170 JR=1,LR + JU = JU - 1 + SUMAR = SUMAR + CRR(JR)*UPR(JU) - CRI(JR)*UPI(JU) + SUMAI = SUMAI + CRR(JR)*UPI(JU) + CRI(JR)*UPR(JU) + 170 CONTINUE + ASUMR = ASUMR + SUMAR + ASUMI = ASUMI + SUMAI + TEST = DABS(SUMAR) + DABS(SUMAI) + IF (PP.LT.TOL .AND. TEST.LT.TOL) IAS = 1 + 180 CONTINUE + IF (IBS.EQ.1) GO TO 200 + SUMBR = UPR(LR+2) + UPR(LRP1)*ZCR - UPI(LRP1)*ZCI + SUMBI = UPI(LR+2) + UPR(LRP1)*ZCI + UPI(LRP1)*ZCR + JU = LRP1 + DO 190 JR=1,LR + JU = JU - 1 + SUMBR = SUMBR + DRR(JR)*UPR(JU) - DRI(JR)*UPI(JU) + SUMBI = SUMBI + DRR(JR)*UPI(JU) + DRI(JR)*UPR(JU) + 190 CONTINUE + BSUMR = BSUMR + SUMBR + BSUMI = BSUMI + SUMBI + TEST = DABS(SUMBR) + DABS(SUMBI) + IF (PP.LT.BTOL .AND. TEST.LT.BTOL) IBS = 1 + 200 CONTINUE + IF (IAS.EQ.1 .AND. IBS.EQ.1) GO TO 220 + 210 CONTINUE + 220 CONTINUE + ASUMR = ASUMR + CONER + STR = -BSUMR*RFN13 + STI = -BSUMI*RFN13 + CALL ZDIV(STR, STI, RTZTR, RTZTI, BSUMR, BSUMI) + GO TO 120 + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zuni1.f julia-0.2.1~quantal7/deps/openspecfun/amos/zuni1.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zuni1.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zuni1.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,204 @@ + SUBROUTINE ZUNI1(ZR, ZI, FNU, KODE, N, YR, YI, NZ, NLAST, FNUL, + * TOL, ELIM, ALIM) +C***BEGIN PROLOGUE ZUNI1 +C***REFER TO ZBESI,ZBESK +C +C ZUNI1 COMPUTES I(FNU,Z) BY MEANS OF THE UNIFORM ASYMPTOTIC +C EXPANSION FOR I(FNU,Z) IN -PI/3.LE.ARG Z.LE.PI/3. +C +C FNUL IS THE SMALLEST ORDER PERMITTED FOR THE ASYMPTOTIC +C EXPANSION. NLAST=0 MEANS ALL OF THE Y VALUES WERE SET. +C NLAST.NE.0 IS THE NUMBER LEFT TO BE COMPUTED BY ANOTHER +C FORMULA FOR ORDERS FNU TO FNU+NLAST-1 BECAUSE FNU+NLAST-1.LT.FNUL. +C Y(I)=CZERO FOR I=NLAST+1,N +C +C***ROUTINES CALLED ZUCHK,ZUNIK,ZUOIK,D1MACH,ZABS +C***END PROLOGUE ZUNI1 +C COMPLEX CFN,CONE,CRSC,CSCL,CSR,CSS,CWRK,CZERO,C1,C2,PHI,RZ,SUM,S1, +C *S2,Y,Z,ZETA1,ZETA2 + DOUBLE PRECISION ALIM, APHI, ASCLE, BRY, CONER, CRSC, + * CSCL, CSRR, CSSR, CWRKI, CWRKR, C1R, C2I, C2M, C2R, ELIM, FN, + * FNU, FNUL, PHII, PHIR, RAST, RS1, RZI, RZR, STI, STR, SUMI, + * SUMR, S1I, S1R, S2I, S2R, TOL, YI, YR, ZEROI, ZEROR, ZETA1I, + * ZETA1R, ZETA2I, ZETA2R, ZI, ZR, CYR, CYI, D1MACH, ZABS + INTEGER I, IFLAG, INIT, K, KODE, M, N, ND, NLAST, NN, NUF, NW, NZ + DIMENSION BRY(3), YR(N), YI(N), CWRKR(16), CWRKI(16), CSSR(3), + * CSRR(3), CYR(2), CYI(2) + DATA ZEROR,ZEROI,CONER / 0.0D0, 0.0D0, 1.0D0 / +C + NZ = 0 + ND = N + NLAST = 0 +C----------------------------------------------------------------------- +C COMPUTED VALUES WITH EXPONENTS BETWEEN ALIM AND ELIM IN MAG- +C NITUDE ARE SCALED TO KEEP INTERMEDIATE ARITHMETIC ON SCALE, +C EXP(ALIM)=EXP(ELIM)*TOL +C----------------------------------------------------------------------- + CSCL = 1.0D0/TOL + CRSC = TOL + CSSR(1) = CSCL + CSSR(2) = CONER + CSSR(3) = CRSC + CSRR(1) = CRSC + CSRR(2) = CONER + CSRR(3) = CSCL + BRY(1) = 1.0D+3*D1MACH(1)/TOL +C----------------------------------------------------------------------- +C CHECK FOR UNDERFLOW AND OVERFLOW ON FIRST MEMBER +C----------------------------------------------------------------------- + FN = DMAX1(FNU,1.0D0) + INIT = 0 + CALL ZUNIK(ZR, ZI, FN, 1, 1, TOL, INIT, PHIR, PHII, ZETA1R, + * ZETA1I, ZETA2R, ZETA2I, SUMR, SUMI, CWRKR, CWRKI) + IF (KODE.EQ.1) GO TO 10 + STR = ZR + ZETA2R + STI = ZI + ZETA2I + RAST = FN/ZABS(COMPLEX(STR,STI)) + STR = STR*RAST*RAST + STI = -STI*RAST*RAST + S1R = -ZETA1R + STR + S1I = -ZETA1I + STI + GO TO 20 + 10 CONTINUE + S1R = -ZETA1R + ZETA2R + S1I = -ZETA1I + ZETA2I + 20 CONTINUE + RS1 = S1R + IF (DABS(RS1).GT.ELIM) GO TO 130 + 30 CONTINUE + NN = MIN0(2,ND) + DO 80 I=1,NN + FN = FNU + DBLE(FLOAT(ND-I)) + INIT = 0 + CALL ZUNIK(ZR, ZI, FN, 1, 0, TOL, INIT, PHIR, PHII, ZETA1R, + * ZETA1I, ZETA2R, ZETA2I, SUMR, SUMI, CWRKR, CWRKI) + IF (KODE.EQ.1) GO TO 40 + STR = ZR + ZETA2R + STI = ZI + ZETA2I + RAST = FN/ZABS(COMPLEX(STR,STI)) + STR = STR*RAST*RAST + STI = -STI*RAST*RAST + S1R = -ZETA1R + STR + S1I = -ZETA1I + STI + ZI + GO TO 50 + 40 CONTINUE + S1R = -ZETA1R + ZETA2R + S1I = -ZETA1I + ZETA2I + 50 CONTINUE +C----------------------------------------------------------------------- +C TEST FOR UNDERFLOW AND OVERFLOW +C----------------------------------------------------------------------- + RS1 = S1R + IF (DABS(RS1).GT.ELIM) GO TO 110 + IF (I.EQ.1) IFLAG = 2 + IF (DABS(RS1).LT.ALIM) GO TO 60 +C----------------------------------------------------------------------- +C REFINE TEST AND SCALE +C----------------------------------------------------------------------- + APHI = ZABS(COMPLEX(PHIR,PHII)) + RS1 = RS1 + DLOG(APHI) + IF (DABS(RS1).GT.ELIM) GO TO 110 + IF (I.EQ.1) IFLAG = 1 + IF (RS1.LT.0.0D0) GO TO 60 + IF (I.EQ.1) IFLAG = 3 + 60 CONTINUE +C----------------------------------------------------------------------- +C SCALE S1 IF CABS(S1).LT.ASCLE +C----------------------------------------------------------------------- + S2R = PHIR*SUMR - PHII*SUMI + S2I = PHIR*SUMI + PHII*SUMR + STR = DEXP(S1R)*CSSR(IFLAG) + S1R = STR*DCOS(S1I) + S1I = STR*DSIN(S1I) + STR = S2R*S1R - S2I*S1I + S2I = S2R*S1I + S2I*S1R + S2R = STR + IF (IFLAG.NE.1) GO TO 70 + CALL ZUCHK(S2R, S2I, NW, BRY(1), TOL) + IF (NW.NE.0) GO TO 110 + 70 CONTINUE + CYR(I) = S2R + CYI(I) = S2I + M = ND - I + 1 + YR(M) = S2R*CSRR(IFLAG) + YI(M) = S2I*CSRR(IFLAG) + 80 CONTINUE + IF (ND.LE.2) GO TO 100 + RAST = 1.0D0/ZABS(COMPLEX(ZR,ZI)) + STR = ZR*RAST + STI = -ZI*RAST + RZR = (STR+STR)*RAST + RZI = (STI+STI)*RAST + BRY(2) = 1.0D0/BRY(1) + BRY(3) = D1MACH(2) + S1R = CYR(1) + S1I = CYI(1) + S2R = CYR(2) + S2I = CYI(2) + C1R = CSRR(IFLAG) + ASCLE = BRY(IFLAG) + K = ND - 2 + FN = DBLE(FLOAT(K)) + DO 90 I=3,ND + C2R = S2R + C2I = S2I + S2R = S1R + (FNU+FN)*(RZR*C2R-RZI*C2I) + S2I = S1I + (FNU+FN)*(RZR*C2I+RZI*C2R) + S1R = C2R + S1I = C2I + C2R = S2R*C1R + C2I = S2I*C1R + YR(K) = C2R + YI(K) = C2I + K = K - 1 + FN = FN - 1.0D0 + IF (IFLAG.GE.3) GO TO 90 + STR = DABS(C2R) + STI = DABS(C2I) + C2M = DMAX1(STR,STI) + IF (C2M.LE.ASCLE) GO TO 90 + IFLAG = IFLAG + 1 + ASCLE = BRY(IFLAG) + S1R = S1R*C1R + S1I = S1I*C1R + S2R = C2R + S2I = C2I + S1R = S1R*CSSR(IFLAG) + S1I = S1I*CSSR(IFLAG) + S2R = S2R*CSSR(IFLAG) + S2I = S2I*CSSR(IFLAG) + C1R = CSRR(IFLAG) + 90 CONTINUE + 100 CONTINUE + RETURN +C----------------------------------------------------------------------- +C SET UNDERFLOW AND UPDATE PARAMETERS +C----------------------------------------------------------------------- + 110 CONTINUE + IF (RS1.GT.0.0D0) GO TO 120 + YR(ND) = ZEROR + YI(ND) = ZEROI + NZ = NZ + 1 + ND = ND - 1 + IF (ND.EQ.0) GO TO 100 + CALL ZUOIK(ZR, ZI, FNU, KODE, 1, ND, YR, YI, NUF, TOL, ELIM, ALIM) + IF (NUF.LT.0) GO TO 120 + ND = ND - NUF + NZ = NZ + NUF + IF (ND.EQ.0) GO TO 100 + FN = FNU + DBLE(FLOAT(ND-1)) + IF (FN.GE.FNUL) GO TO 30 + NLAST = ND + RETURN + 120 CONTINUE + NZ = -1 + RETURN + 130 CONTINUE + IF (RS1.GT.0.0D0) GO TO 120 + NZ = N + DO 140 I=1,N + YR(I) = ZEROR + YI(I) = ZEROI + 140 CONTINUE + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zuni2.f julia-0.2.1~quantal7/deps/openspecfun/amos/zuni2.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zuni2.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zuni2.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,267 @@ + SUBROUTINE ZUNI2(ZR, ZI, FNU, KODE, N, YR, YI, NZ, NLAST, FNUL, + * TOL, ELIM, ALIM) +C***BEGIN PROLOGUE ZUNI2 +C***REFER TO ZBESI,ZBESK +C +C ZUNI2 COMPUTES I(FNU,Z) IN THE RIGHT HALF PLANE BY MEANS OF +C UNIFORM ASYMPTOTIC EXPANSION FOR J(FNU,ZN) WHERE ZN IS Z*I +C OR -Z*I AND ZN IS IN THE RIGHT HALF PLANE ALSO. +C +C FNUL IS THE SMALLEST ORDER PERMITTED FOR THE ASYMPTOTIC +C EXPANSION. NLAST=0 MEANS ALL OF THE Y VALUES WERE SET. +C NLAST.NE.0 IS THE NUMBER LEFT TO BE COMPUTED BY ANOTHER +C FORMULA FOR ORDERS FNU TO FNU+NLAST-1 BECAUSE FNU+NLAST-1.LT.FNUL. +C Y(I)=CZERO FOR I=NLAST+1,N +C +C***ROUTINES CALLED ZAIRY,ZUCHK,ZUNHJ,ZUOIK,D1MACH,ZABS +C***END PROLOGUE ZUNI2 +C COMPLEX AI,ARG,ASUM,BSUM,CFN,CI,CID,CIP,CONE,CRSC,CSCL,CSR,CSS, +C *CZERO,C1,C2,DAI,PHI,RZ,S1,S2,Y,Z,ZB,ZETA1,ZETA2,ZN + DOUBLE PRECISION AARG, AIC, AII, AIR, ALIM, ANG, APHI, ARGI, + * ARGR, ASCLE, ASUMI, ASUMR, BRY, BSUMI, BSUMR, CIDI, CIPI, CIPR, + * CONER, CRSC, CSCL, CSRR, CSSR, C1R, C2I, C2M, C2R, DAII, + * DAIR, ELIM, FN, FNU, FNUL, HPI, PHII, PHIR, RAST, RAZ, RS1, RZI, + * RZR, STI, STR, S1I, S1R, S2I, S2R, TOL, YI, YR, ZBI, ZBR, ZEROI, + * ZEROR, ZETA1I, ZETA1R, ZETA2I, ZETA2R, ZI, ZNI, ZNR, ZR, CYR, + * CYI, D1MACH, ZABS, CAR, SAR + INTEGER I, IFLAG, IN, INU, J, K, KODE, N, NAI, ND, NDAI, NLAST, + * NN, NUF, NW, NZ, IDUM + DIMENSION BRY(3), YR(N), YI(N), CIPR(4), CIPI(4), CSSR(3), + * CSRR(3), CYR(2), CYI(2) + DATA ZEROR,ZEROI,CONER / 0.0D0, 0.0D0, 1.0D0 / + DATA CIPR(1),CIPI(1),CIPR(2),CIPI(2),CIPR(3),CIPI(3),CIPR(4), + * CIPI(4)/ 1.0D0,0.0D0, 0.0D0,1.0D0, -1.0D0,0.0D0, 0.0D0,-1.0D0/ + DATA HPI, AIC / + 1 1.57079632679489662D+00, 1.265512123484645396D+00/ +C + NZ = 0 + ND = N + NLAST = 0 +C----------------------------------------------------------------------- +C COMPUTED VALUES WITH EXPONENTS BETWEEN ALIM AND ELIM IN MAG- +C NITUDE ARE SCALED TO KEEP INTERMEDIATE ARITHMETIC ON SCALE, +C EXP(ALIM)=EXP(ELIM)*TOL +C----------------------------------------------------------------------- + CSCL = 1.0D0/TOL + CRSC = TOL + CSSR(1) = CSCL + CSSR(2) = CONER + CSSR(3) = CRSC + CSRR(1) = CRSC + CSRR(2) = CONER + CSRR(3) = CSCL + BRY(1) = 1.0D+3*D1MACH(1)/TOL +C----------------------------------------------------------------------- +C ZN IS IN THE RIGHT HALF PLANE AFTER ROTATION BY CI OR -CI +C----------------------------------------------------------------------- + ZNR = ZI + ZNI = -ZR + ZBR = ZR + ZBI = ZI + CIDI = -CONER + INU = INT(SNGL(FNU)) + ANG = HPI*(FNU-DBLE(FLOAT(INU))) + C2R = DCOS(ANG) + C2I = DSIN(ANG) + CAR = C2R + SAR = C2I + IN = INU + N - 1 + IN = MOD(IN,4) + 1 + STR = C2R*CIPR(IN) - C2I*CIPI(IN) + C2I = C2R*CIPI(IN) + C2I*CIPR(IN) + C2R = STR + IF (ZI.GT.0.0D0) GO TO 10 + ZNR = -ZNR + ZBI = -ZBI + CIDI = -CIDI + C2I = -C2I + 10 CONTINUE +C----------------------------------------------------------------------- +C CHECK FOR UNDERFLOW AND OVERFLOW ON FIRST MEMBER +C----------------------------------------------------------------------- + FN = DMAX1(FNU,1.0D0) + CALL ZUNHJ(ZNR, ZNI, FN, 1, TOL, PHIR, PHII, ARGR, ARGI, ZETA1R, + * ZETA1I, ZETA2R, ZETA2I, ASUMR, ASUMI, BSUMR, BSUMI) + IF (KODE.EQ.1) GO TO 20 + STR = ZBR + ZETA2R + STI = ZBI + ZETA2I + RAST = FN/ZABS(COMPLEX(STR,STI)) + STR = STR*RAST*RAST + STI = -STI*RAST*RAST + S1R = -ZETA1R + STR + S1I = -ZETA1I + STI + GO TO 30 + 20 CONTINUE + S1R = -ZETA1R + ZETA2R + S1I = -ZETA1I + ZETA2I + 30 CONTINUE + RS1 = S1R + IF (DABS(RS1).GT.ELIM) GO TO 150 + 40 CONTINUE + NN = MIN0(2,ND) + DO 90 I=1,NN + FN = FNU + DBLE(FLOAT(ND-I)) + CALL ZUNHJ(ZNR, ZNI, FN, 0, TOL, PHIR, PHII, ARGR, ARGI, + * ZETA1R, ZETA1I, ZETA2R, ZETA2I, ASUMR, ASUMI, BSUMR, BSUMI) + IF (KODE.EQ.1) GO TO 50 + STR = ZBR + ZETA2R + STI = ZBI + ZETA2I + RAST = FN/ZABS(COMPLEX(STR,STI)) + STR = STR*RAST*RAST + STI = -STI*RAST*RAST + S1R = -ZETA1R + STR + S1I = -ZETA1I + STI + DABS(ZI) + GO TO 60 + 50 CONTINUE + S1R = -ZETA1R + ZETA2R + S1I = -ZETA1I + ZETA2I + 60 CONTINUE +C----------------------------------------------------------------------- +C TEST FOR UNDERFLOW AND OVERFLOW +C----------------------------------------------------------------------- + RS1 = S1R + IF (DABS(RS1).GT.ELIM) GO TO 120 + IF (I.EQ.1) IFLAG = 2 + IF (DABS(RS1).LT.ALIM) GO TO 70 +C----------------------------------------------------------------------- +C REFINE TEST AND SCALE +C----------------------------------------------------------------------- +C----------------------------------------------------------------------- + APHI = ZABS(COMPLEX(PHIR,PHII)) + AARG = ZABS(COMPLEX(ARGR,ARGI)) + RS1 = RS1 + DLOG(APHI) - 0.25D0*DLOG(AARG) - AIC + IF (DABS(RS1).GT.ELIM) GO TO 120 + IF (I.EQ.1) IFLAG = 1 + IF (RS1.LT.0.0D0) GO TO 70 + IF (I.EQ.1) IFLAG = 3 + 70 CONTINUE +C----------------------------------------------------------------------- +C SCALE S1 TO KEEP INTERMEDIATE ARITHMETIC ON SCALE NEAR +C EXPONENT EXTREMES +C----------------------------------------------------------------------- + CALL ZAIRY(ARGR, ARGI, 0, 2, AIR, AII, NAI, IDUM) + CALL ZAIRY(ARGR, ARGI, 1, 2, DAIR, DAII, NDAI, IDUM) + STR = DAIR*BSUMR - DAII*BSUMI + STI = DAIR*BSUMI + DAII*BSUMR + STR = STR + (AIR*ASUMR-AII*ASUMI) + STI = STI + (AIR*ASUMI+AII*ASUMR) + S2R = PHIR*STR - PHII*STI + S2I = PHIR*STI + PHII*STR + STR = DEXP(S1R)*CSSR(IFLAG) + S1R = STR*DCOS(S1I) + S1I = STR*DSIN(S1I) + STR = S2R*S1R - S2I*S1I + S2I = S2R*S1I + S2I*S1R + S2R = STR + IF (IFLAG.NE.1) GO TO 80 + CALL ZUCHK(S2R, S2I, NW, BRY(1), TOL) + IF (NW.NE.0) GO TO 120 + 80 CONTINUE + IF (ZI.LE.0.0D0) S2I = -S2I + STR = S2R*C2R - S2I*C2I + S2I = S2R*C2I + S2I*C2R + S2R = STR + CYR(I) = S2R + CYI(I) = S2I + J = ND - I + 1 + YR(J) = S2R*CSRR(IFLAG) + YI(J) = S2I*CSRR(IFLAG) + STR = -C2I*CIDI + C2I = C2R*CIDI + C2R = STR + 90 CONTINUE + IF (ND.LE.2) GO TO 110 + RAZ = 1.0D0/ZABS(COMPLEX(ZR,ZI)) + STR = ZR*RAZ + STI = -ZI*RAZ + RZR = (STR+STR)*RAZ + RZI = (STI+STI)*RAZ + BRY(2) = 1.0D0/BRY(1) + BRY(3) = D1MACH(2) + S1R = CYR(1) + S1I = CYI(1) + S2R = CYR(2) + S2I = CYI(2) + C1R = CSRR(IFLAG) + ASCLE = BRY(IFLAG) + K = ND - 2 + FN = DBLE(FLOAT(K)) + DO 100 I=3,ND + C2R = S2R + C2I = S2I + S2R = S1R + (FNU+FN)*(RZR*C2R-RZI*C2I) + S2I = S1I + (FNU+FN)*(RZR*C2I+RZI*C2R) + S1R = C2R + S1I = C2I + C2R = S2R*C1R + C2I = S2I*C1R + YR(K) = C2R + YI(K) = C2I + K = K - 1 + FN = FN - 1.0D0 + IF (IFLAG.GE.3) GO TO 100 + STR = DABS(C2R) + STI = DABS(C2I) + C2M = DMAX1(STR,STI) + IF (C2M.LE.ASCLE) GO TO 100 + IFLAG = IFLAG + 1 + ASCLE = BRY(IFLAG) + S1R = S1R*C1R + S1I = S1I*C1R + S2R = C2R + S2I = C2I + S1R = S1R*CSSR(IFLAG) + S1I = S1I*CSSR(IFLAG) + S2R = S2R*CSSR(IFLAG) + S2I = S2I*CSSR(IFLAG) + C1R = CSRR(IFLAG) + 100 CONTINUE + 110 CONTINUE + RETURN + 120 CONTINUE + IF (RS1.GT.0.0D0) GO TO 140 +C----------------------------------------------------------------------- +C SET UNDERFLOW AND UPDATE PARAMETERS +C----------------------------------------------------------------------- + YR(ND) = ZEROR + YI(ND) = ZEROI + NZ = NZ + 1 + ND = ND - 1 + IF (ND.EQ.0) GO TO 110 + CALL ZUOIK(ZR, ZI, FNU, KODE, 1, ND, YR, YI, NUF, TOL, ELIM, ALIM) + IF (NUF.LT.0) GO TO 140 + ND = ND - NUF + NZ = NZ + NUF + IF (ND.EQ.0) GO TO 110 + FN = FNU + DBLE(FLOAT(ND-1)) + IF (FN.LT.FNUL) GO TO 130 +C FN = CIDI +C J = NUF + 1 +C K = MOD(J,4) + 1 +C S1R = CIPR(K) +C S1I = CIPI(K) +C IF (FN.LT.0.0D0) S1I = -S1I +C STR = C2R*S1R - C2I*S1I +C C2I = C2R*S1I + C2I*S1R +C C2R = STR + IN = INU + ND - 1 + IN = MOD(IN,4) + 1 + C2R = CAR*CIPR(IN) - SAR*CIPI(IN) + C2I = CAR*CIPI(IN) + SAR*CIPR(IN) + IF (ZI.LE.0.0D0) C2I = -C2I + GO TO 40 + 130 CONTINUE + NLAST = ND + RETURN + 140 CONTINUE + NZ = -1 + RETURN + 150 CONTINUE + IF (RS1.GT.0.0D0) GO TO 140 + NZ = N + DO 160 I=1,N + YR(I) = ZEROR + YI(I) = ZEROI + 160 CONTINUE + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zunik.f julia-0.2.1~quantal7/deps/openspecfun/amos/zunik.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zunik.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zunik.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,211 @@ + SUBROUTINE ZUNIK(ZRR, ZRI, FNU, IKFLG, IPMTR, TOL, INIT, PHIR, + * PHII, ZETA1R, ZETA1I, ZETA2R, ZETA2I, SUMR, SUMI, CWRKR, CWRKI) +C***BEGIN PROLOGUE ZUNIK +C***REFER TO ZBESI,ZBESK +C +C ZUNIK COMPUTES PARAMETERS FOR THE UNIFORM ASYMPTOTIC +C EXPANSIONS OF THE I AND K FUNCTIONS ON IKFLG= 1 OR 2 +C RESPECTIVELY BY +C +C W(FNU,ZR) = PHI*EXP(ZETA)*SUM +C +C WHERE ZETA=-ZETA1 + ZETA2 OR +C ZETA1 - ZETA2 +C +C THE FIRST CALL MUST HAVE INIT=0. SUBSEQUENT CALLS WITH THE +C SAME ZR AND FNU WILL RETURN THE I OR K FUNCTION ON IKFLG= +C 1 OR 2 WITH NO CHANGE IN INIT. CWRK IS A COMPLEX WORK +C ARRAY. IPMTR=0 COMPUTES ALL PARAMETERS. IPMTR=1 COMPUTES PHI, +C ZETA1,ZETA2. +C +C***ROUTINES CALLED ZDIV,ZLOG,ZSQRT,D1MACH +C***END PROLOGUE ZUNIK +C COMPLEX CFN,CON,CONE,CRFN,CWRK,CZERO,PHI,S,SR,SUM,T,T2,ZETA1, +C *ZETA2,ZN,ZR + DOUBLE PRECISION AC, C, CON, CONEI, CONER, CRFNI, CRFNR, CWRKI, + * CWRKR, FNU, PHII, PHIR, RFN, SI, SR, SRI, SRR, STI, STR, SUMI, + * SUMR, TEST, TI, TOL, TR, T2I, T2R, ZEROI, ZEROR, ZETA1I, ZETA1R, + * ZETA2I, ZETA2R, ZNI, ZNR, ZRI, ZRR, D1MACH + INTEGER I, IDUM, IKFLG, INIT, IPMTR, J, K, L + DIMENSION C(120), CWRKR(16), CWRKI(16), CON(2) + DATA ZEROR,ZEROI,CONER,CONEI / 0.0D0, 0.0D0, 1.0D0, 0.0D0 / + DATA CON(1), CON(2) / + 1 3.98942280401432678D-01, 1.25331413731550025D+00 / + DATA C(1), C(2), C(3), C(4), C(5), C(6), C(7), C(8), C(9), C(10), + 1 C(11), C(12), C(13), C(14), C(15), C(16), C(17), C(18), + 2 C(19), C(20), C(21), C(22), C(23), C(24)/ + 3 1.00000000000000000D+00, -2.08333333333333333D-01, + 4 1.25000000000000000D-01, 3.34201388888888889D-01, + 5 -4.01041666666666667D-01, 7.03125000000000000D-02, + 6 -1.02581259645061728D+00, 1.84646267361111111D+00, + 7 -8.91210937500000000D-01, 7.32421875000000000D-02, + 8 4.66958442342624743D+00, -1.12070026162229938D+01, + 9 8.78912353515625000D+00, -2.36408691406250000D+00, + A 1.12152099609375000D-01, -2.82120725582002449D+01, + B 8.46362176746007346D+01, -9.18182415432400174D+01, + C 4.25349987453884549D+01, -7.36879435947963170D+00, + D 2.27108001708984375D-01, 2.12570130039217123D+02, + E -7.65252468141181642D+02, 1.05999045252799988D+03/ + DATA C(25), C(26), C(27), C(28), C(29), C(30), C(31), C(32), + 1 C(33), C(34), C(35), C(36), C(37), C(38), C(39), C(40), + 2 C(41), C(42), C(43), C(44), C(45), C(46), C(47), C(48)/ + 3 -6.99579627376132541D+02, 2.18190511744211590D+02, + 4 -2.64914304869515555D+01, 5.72501420974731445D-01, + 5 -1.91945766231840700D+03, 8.06172218173730938D+03, + 6 -1.35865500064341374D+04, 1.16553933368645332D+04, + 7 -5.30564697861340311D+03, 1.20090291321635246D+03, + 8 -1.08090919788394656D+02, 1.72772750258445740D+00, + 9 2.02042913309661486D+04, -9.69805983886375135D+04, + A 1.92547001232531532D+05, -2.03400177280415534D+05, + B 1.22200464983017460D+05, -4.11926549688975513D+04, + C 7.10951430248936372D+03, -4.93915304773088012D+02, + D 6.07404200127348304D+00, -2.42919187900551333D+05, + E 1.31176361466297720D+06, -2.99801591853810675D+06/ + DATA C(49), C(50), C(51), C(52), C(53), C(54), C(55), C(56), + 1 C(57), C(58), C(59), C(60), C(61), C(62), C(63), C(64), + 2 C(65), C(66), C(67), C(68), C(69), C(70), C(71), C(72)/ + 3 3.76327129765640400D+06, -2.81356322658653411D+06, + 4 1.26836527332162478D+06, -3.31645172484563578D+05, + 5 4.52187689813627263D+04, -2.49983048181120962D+03, + 6 2.43805296995560639D+01, 3.28446985307203782D+06, + 7 -1.97068191184322269D+07, 5.09526024926646422D+07, + 8 -7.41051482115326577D+07, 6.63445122747290267D+07, + 9 -3.75671766607633513D+07, 1.32887671664218183D+07, + A -2.78561812808645469D+06, 3.08186404612662398D+05, + B -1.38860897537170405D+04, 1.10017140269246738D+02, + C -4.93292536645099620D+07, 3.25573074185765749D+08, + D -9.39462359681578403D+08, 1.55359689957058006D+09, + E -1.62108055210833708D+09, 1.10684281682301447D+09/ + DATA C(73), C(74), C(75), C(76), C(77), C(78), C(79), C(80), + 1 C(81), C(82), C(83), C(84), C(85), C(86), C(87), C(88), + 2 C(89), C(90), C(91), C(92), C(93), C(94), C(95), C(96)/ + 3 -4.95889784275030309D+08, 1.42062907797533095D+08, + 4 -2.44740627257387285D+07, 2.24376817792244943D+06, + 5 -8.40054336030240853D+04, 5.51335896122020586D+02, + 6 8.14789096118312115D+08, -5.86648149205184723D+09, + 7 1.86882075092958249D+10, -3.46320433881587779D+10, + 8 4.12801855797539740D+10, -3.30265997498007231D+10, + 9 1.79542137311556001D+10, -6.56329379261928433D+09, + A 1.55927986487925751D+09, -2.25105661889415278D+08, + B 1.73951075539781645D+07, -5.49842327572288687D+05, + C 3.03809051092238427D+03, -1.46792612476956167D+10, + D 1.14498237732025810D+11, -3.99096175224466498D+11, + E 8.19218669548577329D+11, -1.09837515608122331D+12/ + DATA C(97), C(98), C(99), C(100), C(101), C(102), C(103), C(104), + 1 C(105), C(106), C(107), C(108), C(109), C(110), C(111), + 2 C(112), C(113), C(114), C(115), C(116), C(117), C(118)/ + 3 1.00815810686538209D+12, -6.45364869245376503D+11, + 4 2.87900649906150589D+11, -8.78670721780232657D+10, + 5 1.76347306068349694D+10, -2.16716498322379509D+09, + 6 1.43157876718888981D+08, -3.87183344257261262D+06, + 7 1.82577554742931747D+04, 2.86464035717679043D+11, + 8 -2.40629790002850396D+12, 9.10934118523989896D+12, + 9 -2.05168994109344374D+13, 3.05651255199353206D+13, + A -3.16670885847851584D+13, 2.33483640445818409D+13, + B -1.23204913055982872D+13, 4.61272578084913197D+12, + C -1.19655288019618160D+12, 2.05914503232410016D+11, + D -2.18229277575292237D+10, 1.24700929351271032D+09/ + DATA C(119), C(120)/ + 1 -2.91883881222208134D+07, 1.18838426256783253D+05/ +C + IF (INIT.NE.0) GO TO 40 +C----------------------------------------------------------------------- +C INITIALIZE ALL VARIABLES +C----------------------------------------------------------------------- + RFN = 1.0D0/FNU +C----------------------------------------------------------------------- +C OVERFLOW TEST (ZR/FNU TOO SMALL) +C----------------------------------------------------------------------- + TEST = D1MACH(1)*1.0D+3 + AC = FNU*TEST + IF (DABS(ZRR).GT.AC .OR. DABS(ZRI).GT.AC) GO TO 15 + ZETA1R = 2.0D0*DABS(DLOG(TEST))+FNU + ZETA1I = 0.0D0 + ZETA2R = FNU + ZETA2I = 0.0D0 + PHIR = 1.0D0 + PHII = 0.0D0 + RETURN + 15 CONTINUE + TR = ZRR*RFN + TI = ZRI*RFN + SR = CONER + (TR*TR-TI*TI) + SI = CONEI + (TR*TI+TI*TR) + CALL ZSQRT(SR, SI, SRR, SRI) + STR = CONER + SRR + STI = CONEI + SRI + CALL ZDIV(STR, STI, TR, TI, ZNR, ZNI) + CALL ZLOG(ZNR, ZNI, STR, STI, IDUM) + ZETA1R = FNU*STR + ZETA1I = FNU*STI + ZETA2R = FNU*SRR + ZETA2I = FNU*SRI + CALL ZDIV(CONER, CONEI, SRR, SRI, TR, TI) + SRR = TR*RFN + SRI = TI*RFN + CALL ZSQRT(SRR, SRI, CWRKR(16), CWRKI(16)) + PHIR = CWRKR(16)*CON(IKFLG) + PHII = CWRKI(16)*CON(IKFLG) + IF (IPMTR.NE.0) RETURN + CALL ZDIV(CONER, CONEI, SR, SI, T2R, T2I) + CWRKR(1) = CONER + CWRKI(1) = CONEI + CRFNR = CONER + CRFNI = CONEI + AC = 1.0D0 + L = 1 + DO 20 K=2,15 + SR = ZEROR + SI = ZEROI + DO 10 J=1,K + L = L + 1 + STR = SR*T2R - SI*T2I + C(L) + SI = SR*T2I + SI*T2R + SR = STR + 10 CONTINUE + STR = CRFNR*SRR - CRFNI*SRI + CRFNI = CRFNR*SRI + CRFNI*SRR + CRFNR = STR + CWRKR(K) = CRFNR*SR - CRFNI*SI + CWRKI(K) = CRFNR*SI + CRFNI*SR + AC = AC*RFN + TEST = DABS(CWRKR(K)) + DABS(CWRKI(K)) + IF (AC.LT.TOL .AND. TEST.LT.TOL) GO TO 30 + 20 CONTINUE + K = 15 + 30 CONTINUE + INIT = K + 40 CONTINUE + IF (IKFLG.EQ.2) GO TO 60 +C----------------------------------------------------------------------- +C COMPUTE SUM FOR THE I FUNCTION +C----------------------------------------------------------------------- + SR = ZEROR + SI = ZEROI + DO 50 I=1,INIT + SR = SR + CWRKR(I) + SI = SI + CWRKI(I) + 50 CONTINUE + SUMR = SR + SUMI = SI + PHIR = CWRKR(16)*CON(1) + PHII = CWRKI(16)*CON(1) + RETURN + 60 CONTINUE +C----------------------------------------------------------------------- +C COMPUTE SUM FOR THE K FUNCTION +C----------------------------------------------------------------------- + SR = ZEROR + SI = ZEROI + TR = CONER + DO 70 I=1,INIT + SR = SR + TR*CWRKR(I) + SI = SI + TR*CWRKI(I) + TR = -TR + 70 CONTINUE + SUMR = SR + SUMI = SI + PHIR = CWRKR(16)*CON(2) + PHII = CWRKI(16)*CON(2) + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zunk1.f julia-0.2.1~quantal7/deps/openspecfun/amos/zunk1.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zunk1.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zunk1.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,426 @@ + SUBROUTINE ZUNK1(ZR, ZI, FNU, KODE, MR, N, YR, YI, NZ, TOL, ELIM, + * ALIM) +C***BEGIN PROLOGUE ZUNK1 +C***REFER TO ZBESK +C +C ZUNK1 COMPUTES K(FNU,Z) AND ITS ANALYTIC CONTINUATION FROM THE +C RIGHT HALF PLANE TO THE LEFT HALF PLANE BY MEANS OF THE +C UNIFORM ASYMPTOTIC EXPANSION. +C MR INDICATES THE DIRECTION OF ROTATION FOR ANALYTIC CONTINUATION. +C NZ=-1 MEANS AN OVERFLOW WILL OCCUR +C +C***ROUTINES CALLED ZKSCL,ZS1S2,ZUCHK,ZUNIK,D1MACH,ZABS +C***END PROLOGUE ZUNK1 +C COMPLEX CFN,CK,CONE,CRSC,CS,CSCL,CSGN,CSPN,CSR,CSS,CWRK,CY,CZERO, +C *C1,C2,PHI,PHID,RZ,SUM,SUMD,S1,S2,Y,Z,ZETA1,ZETA1D,ZETA2,ZETA2D,ZR + DOUBLE PRECISION ALIM, ANG, APHI, ASC, ASCLE, BRY, CKI, CKR, + * CONER, CRSC, CSCL, CSGNI, CSPNI, CSPNR, CSR, CSRR, CSSR, + * CWRKI, CWRKR, CYI, CYR, C1I, C1R, C2I, C2M, C2R, ELIM, FMR, FN, + * FNF, FNU, PHIDI, PHIDR, PHII, PHIR, PI, RAST, RAZR, RS1, RZI, + * RZR, SGN, STI, STR, SUMDI, SUMDR, SUMI, SUMR, S1I, S1R, S2I, + * S2R, TOL, YI, YR, ZEROI, ZEROR, ZETA1I, ZETA1R, ZETA2I, ZETA2R, + * ZET1DI, ZET1DR, ZET2DI, ZET2DR, ZI, ZR, ZRI, ZRR, D1MACH, ZABS + INTEGER I, IB, IFLAG, IFN, IL, INIT, INU, IUF, K, KDFLG, KFLAG, + * KK, KODE, MR, N, NW, NZ, INITD, IC, IPARD, J + DIMENSION BRY(3), INIT(2), YR(N), YI(N), SUMR(2), SUMI(2), + * ZETA1R(2), ZETA1I(2), ZETA2R(2), ZETA2I(2), CYR(2), CYI(2), + * CWRKR(16,3), CWRKI(16,3), CSSR(3), CSRR(3), PHIR(2), PHII(2) + DATA ZEROR,ZEROI,CONER / 0.0D0, 0.0D0, 1.0D0 / + DATA PI / 3.14159265358979324D0 / +C + KDFLG = 1 + NZ = 0 +C----------------------------------------------------------------------- +C EXP(-ALIM)=EXP(-ELIM)/TOL=APPROX. ONE PRECISION GREATER THAN +C THE UNDERFLOW LIMIT +C----------------------------------------------------------------------- + CSCL = 1.0D0/TOL + CRSC = TOL + CSSR(1) = CSCL + CSSR(2) = CONER + CSSR(3) = CRSC + CSRR(1) = CRSC + CSRR(2) = CONER + CSRR(3) = CSCL + BRY(1) = 1.0D+3*D1MACH(1)/TOL + BRY(2) = 1.0D0/BRY(1) + BRY(3) = D1MACH(2) + ZRR = ZR + ZRI = ZI + IF (ZR.GE.0.0D0) GO TO 10 + ZRR = -ZR + ZRI = -ZI + 10 CONTINUE + J = 2 + DO 70 I=1,N +C----------------------------------------------------------------------- +C J FLIP FLOPS BETWEEN 1 AND 2 IN J = 3 - J +C----------------------------------------------------------------------- + J = 3 - J + FN = FNU + DBLE(FLOAT(I-1)) + INIT(J) = 0 + CALL ZUNIK(ZRR, ZRI, FN, 2, 0, TOL, INIT(J), PHIR(J), PHII(J), + * ZETA1R(J), ZETA1I(J), ZETA2R(J), ZETA2I(J), SUMR(J), SUMI(J), + * CWRKR(1,J), CWRKI(1,J)) + IF (KODE.EQ.1) GO TO 20 + STR = ZRR + ZETA2R(J) + STI = ZRI + ZETA2I(J) + RAST = FN/ZABS(COMPLEX(STR,STI)) + STR = STR*RAST*RAST + STI = -STI*RAST*RAST + S1R = ZETA1R(J) - STR + S1I = ZETA1I(J) - STI + GO TO 30 + 20 CONTINUE + S1R = ZETA1R(J) - ZETA2R(J) + S1I = ZETA1I(J) - ZETA2I(J) + 30 CONTINUE + RS1 = S1R +C----------------------------------------------------------------------- +C TEST FOR UNDERFLOW AND OVERFLOW +C----------------------------------------------------------------------- + IF (DABS(RS1).GT.ELIM) GO TO 60 + IF (KDFLG.EQ.1) KFLAG = 2 + IF (DABS(RS1).LT.ALIM) GO TO 40 +C----------------------------------------------------------------------- +C REFINE TEST AND SCALE +C----------------------------------------------------------------------- + APHI = ZABS(COMPLEX(PHIR(J),PHII(J))) + RS1 = RS1 + DLOG(APHI) + IF (DABS(RS1).GT.ELIM) GO TO 60 + IF (KDFLG.EQ.1) KFLAG = 1 + IF (RS1.LT.0.0D0) GO TO 40 + IF (KDFLG.EQ.1) KFLAG = 3 + 40 CONTINUE +C----------------------------------------------------------------------- +C SCALE S1 TO KEEP INTERMEDIATE ARITHMETIC ON SCALE NEAR +C EXPONENT EXTREMES +C----------------------------------------------------------------------- + S2R = PHIR(J)*SUMR(J) - PHII(J)*SUMI(J) + S2I = PHIR(J)*SUMI(J) + PHII(J)*SUMR(J) + STR = DEXP(S1R)*CSSR(KFLAG) + S1R = STR*DCOS(S1I) + S1I = STR*DSIN(S1I) + STR = S2R*S1R - S2I*S1I + S2I = S1R*S2I + S2R*S1I + S2R = STR + IF (KFLAG.NE.1) GO TO 50 + CALL ZUCHK(S2R, S2I, NW, BRY(1), TOL) + IF (NW.NE.0) GO TO 60 + 50 CONTINUE + CYR(KDFLG) = S2R + CYI(KDFLG) = S2I + YR(I) = S2R*CSRR(KFLAG) + YI(I) = S2I*CSRR(KFLAG) + IF (KDFLG.EQ.2) GO TO 75 + KDFLG = 2 + GO TO 70 + 60 CONTINUE + IF (RS1.GT.0.0D0) GO TO 300 +C----------------------------------------------------------------------- +C FOR ZR.LT.0.0, THE I FUNCTION TO BE ADDED WILL OVERFLOW +C----------------------------------------------------------------------- + IF (ZR.LT.0.0D0) GO TO 300 + KDFLG = 1 + YR(I)=ZEROR + YI(I)=ZEROI + NZ=NZ+1 + IF (I.EQ.1) GO TO 70 + IF ((YR(I-1).EQ.ZEROR).AND.(YI(I-1).EQ.ZEROI)) GO TO 70 + YR(I-1)=ZEROR + YI(I-1)=ZEROI + NZ=NZ+1 + 70 CONTINUE + I = N + 75 CONTINUE + RAZR = 1.0D0/ZABS(COMPLEX(ZRR,ZRI)) + STR = ZRR*RAZR + STI = -ZRI*RAZR + RZR = (STR+STR)*RAZR + RZI = (STI+STI)*RAZR + CKR = FN*RZR + CKI = FN*RZI + IB = I + 1 + IF (N.LT.IB) GO TO 160 +C----------------------------------------------------------------------- +C TEST LAST MEMBER FOR UNDERFLOW AND OVERFLOW. SET SEQUENCE TO ZERO +C ON UNDERFLOW. +C----------------------------------------------------------------------- + FN = FNU + DBLE(FLOAT(N-1)) + IPARD = 1 + IF (MR.NE.0) IPARD = 0 + INITD = 0 + CALL ZUNIK(ZRR, ZRI, FN, 2, IPARD, TOL, INITD, PHIDR, PHIDI, + * ZET1DR, ZET1DI, ZET2DR, ZET2DI, SUMDR, SUMDI, CWRKR(1,3), + * CWRKI(1,3)) + IF (KODE.EQ.1) GO TO 80 + STR = ZRR + ZET2DR + STI = ZRI + ZET2DI + RAST = FN/ZABS(COMPLEX(STR,STI)) + STR = STR*RAST*RAST + STI = -STI*RAST*RAST + S1R = ZET1DR - STR + S1I = ZET1DI - STI + GO TO 90 + 80 CONTINUE + S1R = ZET1DR - ZET2DR + S1I = ZET1DI - ZET2DI + 90 CONTINUE + RS1 = S1R + IF (DABS(RS1).GT.ELIM) GO TO 95 + IF (DABS(RS1).LT.ALIM) GO TO 100 +C---------------------------------------------------------------------------- +C REFINE ESTIMATE AND TEST +C------------------------------------------------------------------------- + APHI = ZABS(COMPLEX(PHIDR,PHIDI)) + RS1 = RS1+DLOG(APHI) + IF (DABS(RS1).LT.ELIM) GO TO 100 + 95 CONTINUE + IF (DABS(RS1).GT.0.0D0) GO TO 300 +C----------------------------------------------------------------------- +C FOR ZR.LT.0.0, THE I FUNCTION TO BE ADDED WILL OVERFLOW +C----------------------------------------------------------------------- + IF (ZR.LT.0.0D0) GO TO 300 + NZ = N + DO 96 I=1,N + YR(I) = ZEROR + YI(I) = ZEROI + 96 CONTINUE + RETURN +C--------------------------------------------------------------------------- +C FORWARD RECUR FOR REMAINDER OF THE SEQUENCE +C---------------------------------------------------------------------------- + 100 CONTINUE + S1R = CYR(1) + S1I = CYI(1) + S2R = CYR(2) + S2I = CYI(2) + C1R = CSRR(KFLAG) + ASCLE = BRY(KFLAG) + DO 120 I=IB,N + C2R = S2R + C2I = S2I + S2R = CKR*C2R - CKI*C2I + S1R + S2I = CKR*C2I + CKI*C2R + S1I + S1R = C2R + S1I = C2I + CKR = CKR + RZR + CKI = CKI + RZI + C2R = S2R*C1R + C2I = S2I*C1R + YR(I) = C2R + YI(I) = C2I + IF (KFLAG.GE.3) GO TO 120 + STR = DABS(C2R) + STI = DABS(C2I) + C2M = DMAX1(STR,STI) + IF (C2M.LE.ASCLE) GO TO 120 + KFLAG = KFLAG + 1 + ASCLE = BRY(KFLAG) + S1R = S1R*C1R + S1I = S1I*C1R + S2R = C2R + S2I = C2I + S1R = S1R*CSSR(KFLAG) + S1I = S1I*CSSR(KFLAG) + S2R = S2R*CSSR(KFLAG) + S2I = S2I*CSSR(KFLAG) + C1R = CSRR(KFLAG) + 120 CONTINUE + 160 CONTINUE + IF (MR.EQ.0) RETURN +C----------------------------------------------------------------------- +C ANALYTIC CONTINUATION FOR RE(Z).LT.0.0D0 +C----------------------------------------------------------------------- + NZ = 0 + FMR = DBLE(FLOAT(MR)) + SGN = -DSIGN(PI,FMR) +C----------------------------------------------------------------------- +C CSPN AND CSGN ARE COEFF OF K AND I FUNCTIONS RESP. +C----------------------------------------------------------------------- + CSGNI = SGN + INU = INT(SNGL(FNU)) + FNF = FNU - DBLE(FLOAT(INU)) + IFN = INU + N - 1 + ANG = FNF*SGN + CSPNR = DCOS(ANG) + CSPNI = DSIN(ANG) + IF (MOD(IFN,2).EQ.0) GO TO 170 + CSPNR = -CSPNR + CSPNI = -CSPNI + 170 CONTINUE + ASC = BRY(1) + IUF = 0 + KK = N + KDFLG = 1 + IB = IB - 1 + IC = IB - 1 + DO 270 K=1,N + FN = FNU + DBLE(FLOAT(KK-1)) +C----------------------------------------------------------------------- +C LOGIC TO SORT OUT CASES WHOSE PARAMETERS WERE SET FOR THE K +C FUNCTION ABOVE +C----------------------------------------------------------------------- + M=3 + IF (N.GT.2) GO TO 175 + 172 CONTINUE + INITD = INIT(J) + PHIDR = PHIR(J) + PHIDI = PHII(J) + ZET1DR = ZETA1R(J) + ZET1DI = ZETA1I(J) + ZET2DR = ZETA2R(J) + ZET2DI = ZETA2I(J) + SUMDR = SUMR(J) + SUMDI = SUMI(J) + M = J + J = 3 - J + GO TO 180 + 175 CONTINUE + IF ((KK.EQ.N).AND.(IB.LT.N)) GO TO 180 + IF ((KK.EQ.IB).OR.(KK.EQ.IC)) GO TO 172 + INITD = 0 + 180 CONTINUE + CALL ZUNIK(ZRR, ZRI, FN, 1, 0, TOL, INITD, PHIDR, PHIDI, + * ZET1DR, ZET1DI, ZET2DR, ZET2DI, SUMDR, SUMDI, + * CWRKR(1,M), CWRKI(1,M)) + IF (KODE.EQ.1) GO TO 200 + STR = ZRR + ZET2DR + STI = ZRI + ZET2DI + RAST = FN/ZABS(COMPLEX(STR,STI)) + STR = STR*RAST*RAST + STI = -STI*RAST*RAST + S1R = -ZET1DR + STR + S1I = -ZET1DI + STI + GO TO 210 + 200 CONTINUE + S1R = -ZET1DR + ZET2DR + S1I = -ZET1DI + ZET2DI + 210 CONTINUE +C----------------------------------------------------------------------- +C TEST FOR UNDERFLOW AND OVERFLOW +C----------------------------------------------------------------------- + RS1 = S1R + IF (DABS(RS1).GT.ELIM) GO TO 260 + IF (KDFLG.EQ.1) IFLAG = 2 + IF (DABS(RS1).LT.ALIM) GO TO 220 +C----------------------------------------------------------------------- +C REFINE TEST AND SCALE +C----------------------------------------------------------------------- + APHI = ZABS(COMPLEX(PHIDR,PHIDI)) + RS1 = RS1 + DLOG(APHI) + IF (DABS(RS1).GT.ELIM) GO TO 260 + IF (KDFLG.EQ.1) IFLAG = 1 + IF (RS1.LT.0.0D0) GO TO 220 + IF (KDFLG.EQ.1) IFLAG = 3 + 220 CONTINUE + STR = PHIDR*SUMDR - PHIDI*SUMDI + STI = PHIDR*SUMDI + PHIDI*SUMDR + S2R = -CSGNI*STI + S2I = CSGNI*STR + STR = DEXP(S1R)*CSSR(IFLAG) + S1R = STR*DCOS(S1I) + S1I = STR*DSIN(S1I) + STR = S2R*S1R - S2I*S1I + S2I = S2R*S1I + S2I*S1R + S2R = STR + IF (IFLAG.NE.1) GO TO 230 + CALL ZUCHK(S2R, S2I, NW, BRY(1), TOL) + IF (NW.EQ.0) GO TO 230 + S2R = ZEROR + S2I = ZEROI + 230 CONTINUE + CYR(KDFLG) = S2R + CYI(KDFLG) = S2I + C2R = S2R + C2I = S2I + S2R = S2R*CSRR(IFLAG) + S2I = S2I*CSRR(IFLAG) +C----------------------------------------------------------------------- +C ADD I AND K FUNCTIONS, K SEQUENCE IN Y(I), I=1,N +C----------------------------------------------------------------------- + S1R = YR(KK) + S1I = YI(KK) + IF (KODE.EQ.1) GO TO 250 + CALL ZS1S2(ZRR, ZRI, S1R, S1I, S2R, S2I, NW, ASC, ALIM, IUF) + NZ = NZ + NW + 250 CONTINUE + YR(KK) = S1R*CSPNR - S1I*CSPNI + S2R + YI(KK) = CSPNR*S1I + CSPNI*S1R + S2I + KK = KK - 1 + CSPNR = -CSPNR + CSPNI = -CSPNI + IF (C2R.NE.0.0D0 .OR. C2I.NE.0.0D0) GO TO 255 + KDFLG = 1 + GO TO 270 + 255 CONTINUE + IF (KDFLG.EQ.2) GO TO 275 + KDFLG = 2 + GO TO 270 + 260 CONTINUE + IF (RS1.GT.0.0D0) GO TO 300 + S2R = ZEROR + S2I = ZEROI + GO TO 230 + 270 CONTINUE + K = N + 275 CONTINUE + IL = N - K + IF (IL.EQ.0) RETURN +C----------------------------------------------------------------------- +C RECUR BACKWARD FOR REMAINDER OF I SEQUENCE AND ADD IN THE +C K FUNCTIONS, SCALING THE I SEQUENCE DURING RECURRENCE TO KEEP +C INTERMEDIATE ARITHMETIC ON SCALE NEAR EXPONENT EXTREMES. +C----------------------------------------------------------------------- + S1R = CYR(1) + S1I = CYI(1) + S2R = CYR(2) + S2I = CYI(2) + CSR = CSRR(IFLAG) + ASCLE = BRY(IFLAG) + FN = DBLE(FLOAT(INU+IL)) + DO 290 I=1,IL + C2R = S2R + C2I = S2I + S2R = S1R + (FN+FNF)*(RZR*C2R-RZI*C2I) + S2I = S1I + (FN+FNF)*(RZR*C2I+RZI*C2R) + S1R = C2R + S1I = C2I + FN = FN - 1.0D0 + C2R = S2R*CSR + C2I = S2I*CSR + CKR = C2R + CKI = C2I + C1R = YR(KK) + C1I = YI(KK) + IF (KODE.EQ.1) GO TO 280 + CALL ZS1S2(ZRR, ZRI, C1R, C1I, C2R, C2I, NW, ASC, ALIM, IUF) + NZ = NZ + NW + 280 CONTINUE + YR(KK) = C1R*CSPNR - C1I*CSPNI + C2R + YI(KK) = C1R*CSPNI + C1I*CSPNR + C2I + KK = KK - 1 + CSPNR = -CSPNR + CSPNI = -CSPNI + IF (IFLAG.GE.3) GO TO 290 + C2R = DABS(CKR) + C2I = DABS(CKI) + C2M = DMAX1(C2R,C2I) + IF (C2M.LE.ASCLE) GO TO 290 + IFLAG = IFLAG + 1 + ASCLE = BRY(IFLAG) + S1R = S1R*CSR + S1I = S1I*CSR + S2R = CKR + S2I = CKI + S1R = S1R*CSSR(IFLAG) + S1I = S1I*CSSR(IFLAG) + S2R = S2R*CSSR(IFLAG) + S2I = S2I*CSSR(IFLAG) + CSR = CSRR(IFLAG) + 290 CONTINUE + RETURN + 300 CONTINUE + NZ = -1 + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zunk2.f julia-0.2.1~quantal7/deps/openspecfun/amos/zunk2.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zunk2.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zunk2.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,505 @@ + SUBROUTINE ZUNK2(ZR, ZI, FNU, KODE, MR, N, YR, YI, NZ, TOL, ELIM, + * ALIM) +C***BEGIN PROLOGUE ZUNK2 +C***REFER TO ZBESK +C +C ZUNK2 COMPUTES K(FNU,Z) AND ITS ANALYTIC CONTINUATION FROM THE +C RIGHT HALF PLANE TO THE LEFT HALF PLANE BY MEANS OF THE +C UNIFORM ASYMPTOTIC EXPANSIONS FOR H(KIND,FNU,ZN) AND J(FNU,ZN) +C WHERE ZN IS IN THE RIGHT HALF PLANE, KIND=(3-MR)/2, MR=+1 OR +C -1. HERE ZN=ZR*I OR -ZR*I WHERE ZR=Z IF Z IS IN THE RIGHT +C HALF PLANE OR ZR=-Z IF Z IS IN THE LEFT HALF PLANE. MR INDIC- +C ATES THE DIRECTION OF ROTATION FOR ANALYTIC CONTINUATION. +C NZ=-1 MEANS AN OVERFLOW WILL OCCUR +C +C***ROUTINES CALLED ZAIRY,ZKSCL,ZS1S2,ZUCHK,ZUNHJ,D1MACH,ZABS +C***END PROLOGUE ZUNK2 +C COMPLEX AI,ARG,ARGD,ASUM,ASUMD,BSUM,BSUMD,CFN,CI,CIP,CK,CONE,CRSC, +C *CR1,CR2,CS,CSCL,CSGN,CSPN,CSR,CSS,CY,CZERO,C1,C2,DAI,PHI,PHID,RZ, +C *S1,S2,Y,Z,ZB,ZETA1,ZETA1D,ZETA2,ZETA2D,ZN,ZR + DOUBLE PRECISION AARG, AIC, AII, AIR, ALIM, ANG, APHI, ARGDI, + * ARGDR, ARGI, ARGR, ASC, ASCLE, ASUMDI, ASUMDR, ASUMI, ASUMR, + * BRY, BSUMDI, BSUMDR, BSUMI, BSUMR, CAR, CIPI, CIPR, CKI, CKR, + * CONER, CRSC, CR1I, CR1R, CR2I, CR2R, CSCL, CSGNI, CSI, + * CSPNI, CSPNR, CSR, CSRR, CSSR, CYI, CYR, C1I, C1R, C2I, C2M, + * C2R, DAII, DAIR, ELIM, FMR, FN, FNF, FNU, HPI, PHIDI, PHIDR, + * PHII, PHIR, PI, PTI, PTR, RAST, RAZR, RS1, RZI, RZR, SAR, SGN, + * STI, STR, S1I, S1R, S2I, S2R, TOL, YI, YR, YY, ZBI, ZBR, ZEROI, + * ZEROR, ZETA1I, ZETA1R, ZETA2I, ZETA2R, ZET1DI, ZET1DR, ZET2DI, + * ZET2DR, ZI, ZNI, ZNR, ZR, ZRI, ZRR, D1MACH, ZABS + INTEGER I, IB, IFLAG, IFN, IL, IN, INU, IUF, K, KDFLG, KFLAG, KK, + * KODE, MR, N, NAI, NDAI, NW, NZ, IDUM, J, IPARD, IC + DIMENSION BRY(3), YR(N), YI(N), ASUMR(2), ASUMI(2), BSUMR(2), + * BSUMI(2), PHIR(2), PHII(2), ARGR(2), ARGI(2), ZETA1R(2), + * ZETA1I(2), ZETA2R(2), ZETA2I(2), CYR(2), CYI(2), CIPR(4), + * CIPI(4), CSSR(3), CSRR(3) + DATA ZEROR,ZEROI,CONER,CR1R,CR1I,CR2R,CR2I / + 1 0.0D0, 0.0D0, 1.0D0, + 1 1.0D0,1.73205080756887729D0 , -0.5D0,-8.66025403784438647D-01 / + DATA HPI, PI, AIC / + 1 1.57079632679489662D+00, 3.14159265358979324D+00, + 1 1.26551212348464539D+00/ + DATA CIPR(1),CIPI(1),CIPR(2),CIPI(2),CIPR(3),CIPI(3),CIPR(4), + * CIPI(4) / + 1 1.0D0,0.0D0 , 0.0D0,-1.0D0 , -1.0D0,0.0D0 , 0.0D0,1.0D0 / +C + KDFLG = 1 + NZ = 0 +C----------------------------------------------------------------------- +C EXP(-ALIM)=EXP(-ELIM)/TOL=APPROX. ONE PRECISION GREATER THAN +C THE UNDERFLOW LIMIT +C----------------------------------------------------------------------- + CSCL = 1.0D0/TOL + CRSC = TOL + CSSR(1) = CSCL + CSSR(2) = CONER + CSSR(3) = CRSC + CSRR(1) = CRSC + CSRR(2) = CONER + CSRR(3) = CSCL + BRY(1) = 1.0D+3*D1MACH(1)/TOL + BRY(2) = 1.0D0/BRY(1) + BRY(3) = D1MACH(2) + ZRR = ZR + ZRI = ZI + IF (ZR.GE.0.0D0) GO TO 10 + ZRR = -ZR + ZRI = -ZI + 10 CONTINUE + YY = ZRI + ZNR = ZRI + ZNI = -ZRR + ZBR = ZRR + ZBI = ZRI + INU = INT(SNGL(FNU)) + FNF = FNU - DBLE(FLOAT(INU)) + ANG = -HPI*FNF + CAR = DCOS(ANG) + SAR = DSIN(ANG) + C2R = HPI*SAR + C2I = -HPI*CAR + KK = MOD(INU,4) + 1 + STR = C2R*CIPR(KK) - C2I*CIPI(KK) + STI = C2R*CIPI(KK) + C2I*CIPR(KK) + CSR = CR1R*STR - CR1I*STI + CSI = CR1R*STI + CR1I*STR + IF (YY.GT.0.0D0) GO TO 20 + ZNR = -ZNR + ZBI = -ZBI + 20 CONTINUE +C----------------------------------------------------------------------- +C K(FNU,Z) IS COMPUTED FROM H(2,FNU,-I*Z) WHERE Z IS IN THE FIRST +C QUADRANT. FOURTH QUADRANT VALUES (YY.LE.0.0E0) ARE COMPUTED BY +C CONJUGATION SINCE THE K FUNCTION IS REAL ON THE POSITIVE REAL AXIS +C----------------------------------------------------------------------- + J = 2 + DO 80 I=1,N +C----------------------------------------------------------------------- +C J FLIP FLOPS BETWEEN 1 AND 2 IN J = 3 - J +C----------------------------------------------------------------------- + J = 3 - J + FN = FNU + DBLE(FLOAT(I-1)) + CALL ZUNHJ(ZNR, ZNI, FN, 0, TOL, PHIR(J), PHII(J), ARGR(J), + * ARGI(J), ZETA1R(J), ZETA1I(J), ZETA2R(J), ZETA2I(J), ASUMR(J), + * ASUMI(J), BSUMR(J), BSUMI(J)) + IF (KODE.EQ.1) GO TO 30 + STR = ZBR + ZETA2R(J) + STI = ZBI + ZETA2I(J) + RAST = FN/ZABS(COMPLEX(STR,STI)) + STR = STR*RAST*RAST + STI = -STI*RAST*RAST + S1R = ZETA1R(J) - STR + S1I = ZETA1I(J) - STI + GO TO 40 + 30 CONTINUE + S1R = ZETA1R(J) - ZETA2R(J) + S1I = ZETA1I(J) - ZETA2I(J) + 40 CONTINUE +C----------------------------------------------------------------------- +C TEST FOR UNDERFLOW AND OVERFLOW +C----------------------------------------------------------------------- + RS1 = S1R + IF (DABS(RS1).GT.ELIM) GO TO 70 + IF (KDFLG.EQ.1) KFLAG = 2 + IF (DABS(RS1).LT.ALIM) GO TO 50 +C----------------------------------------------------------------------- +C REFINE TEST AND SCALE +C----------------------------------------------------------------------- + APHI = ZABS(COMPLEX(PHIR(J),PHII(J))) + AARG = ZABS(COMPLEX(ARGR(J),ARGI(J))) + RS1 = RS1 + DLOG(APHI) - 0.25D0*DLOG(AARG) - AIC + IF (DABS(RS1).GT.ELIM) GO TO 70 + IF (KDFLG.EQ.1) KFLAG = 1 + IF (RS1.LT.0.0D0) GO TO 50 + IF (KDFLG.EQ.1) KFLAG = 3 + 50 CONTINUE +C----------------------------------------------------------------------- +C SCALE S1 TO KEEP INTERMEDIATE ARITHMETIC ON SCALE NEAR +C EXPONENT EXTREMES +C----------------------------------------------------------------------- + C2R = ARGR(J)*CR2R - ARGI(J)*CR2I + C2I = ARGR(J)*CR2I + ARGI(J)*CR2R + CALL ZAIRY(C2R, C2I, 0, 2, AIR, AII, NAI, IDUM) + CALL ZAIRY(C2R, C2I, 1, 2, DAIR, DAII, NDAI, IDUM) + STR = DAIR*BSUMR(J) - DAII*BSUMI(J) + STI = DAIR*BSUMI(J) + DAII*BSUMR(J) + PTR = STR*CR2R - STI*CR2I + PTI = STR*CR2I + STI*CR2R + STR = PTR + (AIR*ASUMR(J)-AII*ASUMI(J)) + STI = PTI + (AIR*ASUMI(J)+AII*ASUMR(J)) + PTR = STR*PHIR(J) - STI*PHII(J) + PTI = STR*PHII(J) + STI*PHIR(J) + S2R = PTR*CSR - PTI*CSI + S2I = PTR*CSI + PTI*CSR + STR = DEXP(S1R)*CSSR(KFLAG) + S1R = STR*DCOS(S1I) + S1I = STR*DSIN(S1I) + STR = S2R*S1R - S2I*S1I + S2I = S1R*S2I + S2R*S1I + S2R = STR + IF (KFLAG.NE.1) GO TO 60 + CALL ZUCHK(S2R, S2I, NW, BRY(1), TOL) + IF (NW.NE.0) GO TO 70 + 60 CONTINUE + IF (YY.LE.0.0D0) S2I = -S2I + CYR(KDFLG) = S2R + CYI(KDFLG) = S2I + YR(I) = S2R*CSRR(KFLAG) + YI(I) = S2I*CSRR(KFLAG) + STR = CSI + CSI = -CSR + CSR = STR + IF (KDFLG.EQ.2) GO TO 85 + KDFLG = 2 + GO TO 80 + 70 CONTINUE + IF (RS1.GT.0.0D0) GO TO 320 +C----------------------------------------------------------------------- +C FOR ZR.LT.0.0, THE I FUNCTION TO BE ADDED WILL OVERFLOW +C----------------------------------------------------------------------- + IF (ZR.LT.0.0D0) GO TO 320 + KDFLG = 1 + YR(I)=ZEROR + YI(I)=ZEROI + NZ=NZ+1 + STR = CSI + CSI =-CSR + CSR = STR + IF (I.EQ.1) GO TO 80 + IF ((YR(I-1).EQ.ZEROR).AND.(YI(I-1).EQ.ZEROI)) GO TO 80 + YR(I-1)=ZEROR + YI(I-1)=ZEROI + NZ=NZ+1 + 80 CONTINUE + I = N + 85 CONTINUE + RAZR = 1.0D0/ZABS(COMPLEX(ZRR,ZRI)) + STR = ZRR*RAZR + STI = -ZRI*RAZR + RZR = (STR+STR)*RAZR + RZI = (STI+STI)*RAZR + CKR = FN*RZR + CKI = FN*RZI + IB = I + 1 + IF (N.LT.IB) GO TO 180 +C----------------------------------------------------------------------- +C TEST LAST MEMBER FOR UNDERFLOW AND OVERFLOW. SET SEQUENCE TO ZERO +C ON UNDERFLOW. +C----------------------------------------------------------------------- + FN = FNU + DBLE(FLOAT(N-1)) + IPARD = 1 + IF (MR.NE.0) IPARD = 0 + CALL ZUNHJ(ZNR, ZNI, FN, IPARD, TOL, PHIDR, PHIDI, ARGDR, ARGDI, + * ZET1DR, ZET1DI, ZET2DR, ZET2DI, ASUMDR, ASUMDI, BSUMDR, BSUMDI) + IF (KODE.EQ.1) GO TO 90 + STR = ZBR + ZET2DR + STI = ZBI + ZET2DI + RAST = FN/ZABS(COMPLEX(STR,STI)) + STR = STR*RAST*RAST + STI = -STI*RAST*RAST + S1R = ZET1DR - STR + S1I = ZET1DI - STI + GO TO 100 + 90 CONTINUE + S1R = ZET1DR - ZET2DR + S1I = ZET1DI - ZET2DI + 100 CONTINUE + RS1 = S1R + IF (DABS(RS1).GT.ELIM) GO TO 105 + IF (DABS(RS1).LT.ALIM) GO TO 120 +C---------------------------------------------------------------------------- +C REFINE ESTIMATE AND TEST +C------------------------------------------------------------------------- + APHI = ZABS(COMPLEX(PHIDR,PHIDI)) + RS1 = RS1+DLOG(APHI) + IF (DABS(RS1).LT.ELIM) GO TO 120 + 105 CONTINUE + IF (RS1.GT.0.0D0) GO TO 320 +C----------------------------------------------------------------------- +C FOR ZR.LT.0.0, THE I FUNCTION TO BE ADDED WILL OVERFLOW +C----------------------------------------------------------------------- + IF (ZR.LT.0.0D0) GO TO 320 + NZ = N + DO 106 I=1,N + YR(I) = ZEROR + YI(I) = ZEROI + 106 CONTINUE + RETURN + 120 CONTINUE + S1R = CYR(1) + S1I = CYI(1) + S2R = CYR(2) + S2I = CYI(2) + C1R = CSRR(KFLAG) + ASCLE = BRY(KFLAG) + DO 130 I=IB,N + C2R = S2R + C2I = S2I + S2R = CKR*C2R - CKI*C2I + S1R + S2I = CKR*C2I + CKI*C2R + S1I + S1R = C2R + S1I = C2I + CKR = CKR + RZR + CKI = CKI + RZI + C2R = S2R*C1R + C2I = S2I*C1R + YR(I) = C2R + YI(I) = C2I + IF (KFLAG.GE.3) GO TO 130 + STR = DABS(C2R) + STI = DABS(C2I) + C2M = DMAX1(STR,STI) + IF (C2M.LE.ASCLE) GO TO 130 + KFLAG = KFLAG + 1 + ASCLE = BRY(KFLAG) + S1R = S1R*C1R + S1I = S1I*C1R + S2R = C2R + S2I = C2I + S1R = S1R*CSSR(KFLAG) + S1I = S1I*CSSR(KFLAG) + S2R = S2R*CSSR(KFLAG) + S2I = S2I*CSSR(KFLAG) + C1R = CSRR(KFLAG) + 130 CONTINUE + 180 CONTINUE + IF (MR.EQ.0) RETURN +C----------------------------------------------------------------------- +C ANALYTIC CONTINUATION FOR RE(Z).LT.0.0D0 +C----------------------------------------------------------------------- + NZ = 0 + FMR = DBLE(FLOAT(MR)) + SGN = -DSIGN(PI,FMR) +C----------------------------------------------------------------------- +C CSPN AND CSGN ARE COEFF OF K AND I FUNCIONS RESP. +C----------------------------------------------------------------------- + CSGNI = SGN + IF (YY.LE.0.0D0) CSGNI = -CSGNI + IFN = INU + N - 1 + ANG = FNF*SGN + CSPNR = DCOS(ANG) + CSPNI = DSIN(ANG) + IF (MOD(IFN,2).EQ.0) GO TO 190 + CSPNR = -CSPNR + CSPNI = -CSPNI + 190 CONTINUE +C----------------------------------------------------------------------- +C CS=COEFF OF THE J FUNCTION TO GET THE I FUNCTION. I(FNU,Z) IS +C COMPUTED FROM EXP(I*FNU*HPI)*J(FNU,-I*Z) WHERE Z IS IN THE FIRST +C QUADRANT. FOURTH QUADRANT VALUES (YY.LE.0.0E0) ARE COMPUTED BY +C CONJUGATION SINCE THE I FUNCTION IS REAL ON THE POSITIVE REAL AXIS +C----------------------------------------------------------------------- + CSR = SAR*CSGNI + CSI = CAR*CSGNI + IN = MOD(IFN,4) + 1 + C2R = CIPR(IN) + C2I = CIPI(IN) + STR = CSR*C2R + CSI*C2I + CSI = -CSR*C2I + CSI*C2R + CSR = STR + ASC = BRY(1) + IUF = 0 + KK = N + KDFLG = 1 + IB = IB - 1 + IC = IB - 1 + DO 290 K=1,N + FN = FNU + DBLE(FLOAT(KK-1)) +C----------------------------------------------------------------------- +C LOGIC TO SORT OUT CASES WHOSE PARAMETERS WERE SET FOR THE K +C FUNCTION ABOVE +C----------------------------------------------------------------------- + IF (N.GT.2) GO TO 175 + 172 CONTINUE + PHIDR = PHIR(J) + PHIDI = PHII(J) + ARGDR = ARGR(J) + ARGDI = ARGI(J) + ZET1DR = ZETA1R(J) + ZET1DI = ZETA1I(J) + ZET2DR = ZETA2R(J) + ZET2DI = ZETA2I(J) + ASUMDR = ASUMR(J) + ASUMDI = ASUMI(J) + BSUMDR = BSUMR(J) + BSUMDI = BSUMI(J) + J = 3 - J + GO TO 210 + 175 CONTINUE + IF ((KK.EQ.N).AND.(IB.LT.N)) GO TO 210 + IF ((KK.EQ.IB).OR.(KK.EQ.IC)) GO TO 172 + CALL ZUNHJ(ZNR, ZNI, FN, 0, TOL, PHIDR, PHIDI, ARGDR, + * ARGDI, ZET1DR, ZET1DI, ZET2DR, ZET2DI, ASUMDR, + * ASUMDI, BSUMDR, BSUMDI) + 210 CONTINUE + IF (KODE.EQ.1) GO TO 220 + STR = ZBR + ZET2DR + STI = ZBI + ZET2DI + RAST = FN/ZABS(COMPLEX(STR,STI)) + STR = STR*RAST*RAST + STI = -STI*RAST*RAST + S1R = -ZET1DR + STR + S1I = -ZET1DI + STI + GO TO 230 + 220 CONTINUE + S1R = -ZET1DR + ZET2DR + S1I = -ZET1DI + ZET2DI + 230 CONTINUE +C----------------------------------------------------------------------- +C TEST FOR UNDERFLOW AND OVERFLOW +C----------------------------------------------------------------------- + RS1 = S1R + IF (DABS(RS1).GT.ELIM) GO TO 280 + IF (KDFLG.EQ.1) IFLAG = 2 + IF (DABS(RS1).LT.ALIM) GO TO 240 +C----------------------------------------------------------------------- +C REFINE TEST AND SCALE +C----------------------------------------------------------------------- + APHI = ZABS(COMPLEX(PHIDR,PHIDI)) + AARG = ZABS(COMPLEX(ARGDR,ARGDI)) + RS1 = RS1 + DLOG(APHI) - 0.25D0*DLOG(AARG) - AIC + IF (DABS(RS1).GT.ELIM) GO TO 280 + IF (KDFLG.EQ.1) IFLAG = 1 + IF (RS1.LT.0.0D0) GO TO 240 + IF (KDFLG.EQ.1) IFLAG = 3 + 240 CONTINUE + CALL ZAIRY(ARGDR, ARGDI, 0, 2, AIR, AII, NAI, IDUM) + CALL ZAIRY(ARGDR, ARGDI, 1, 2, DAIR, DAII, NDAI, IDUM) + STR = DAIR*BSUMDR - DAII*BSUMDI + STI = DAIR*BSUMDI + DAII*BSUMDR + STR = STR + (AIR*ASUMDR-AII*ASUMDI) + STI = STI + (AIR*ASUMDI+AII*ASUMDR) + PTR = STR*PHIDR - STI*PHIDI + PTI = STR*PHIDI + STI*PHIDR + S2R = PTR*CSR - PTI*CSI + S2I = PTR*CSI + PTI*CSR + STR = DEXP(S1R)*CSSR(IFLAG) + S1R = STR*DCOS(S1I) + S1I = STR*DSIN(S1I) + STR = S2R*S1R - S2I*S1I + S2I = S2R*S1I + S2I*S1R + S2R = STR + IF (IFLAG.NE.1) GO TO 250 + CALL ZUCHK(S2R, S2I, NW, BRY(1), TOL) + IF (NW.EQ.0) GO TO 250 + S2R = ZEROR + S2I = ZEROI + 250 CONTINUE + IF (YY.LE.0.0D0) S2I = -S2I + CYR(KDFLG) = S2R + CYI(KDFLG) = S2I + C2R = S2R + C2I = S2I + S2R = S2R*CSRR(IFLAG) + S2I = S2I*CSRR(IFLAG) +C----------------------------------------------------------------------- +C ADD I AND K FUNCTIONS, K SEQUENCE IN Y(I), I=1,N +C----------------------------------------------------------------------- + S1R = YR(KK) + S1I = YI(KK) + IF (KODE.EQ.1) GO TO 270 + CALL ZS1S2(ZRR, ZRI, S1R, S1I, S2R, S2I, NW, ASC, ALIM, IUF) + NZ = NZ + NW + 270 CONTINUE + YR(KK) = S1R*CSPNR - S1I*CSPNI + S2R + YI(KK) = S1R*CSPNI + S1I*CSPNR + S2I + KK = KK - 1 + CSPNR = -CSPNR + CSPNI = -CSPNI + STR = CSI + CSI = -CSR + CSR = STR + IF (C2R.NE.0.0D0 .OR. C2I.NE.0.0D0) GO TO 255 + KDFLG = 1 + GO TO 290 + 255 CONTINUE + IF (KDFLG.EQ.2) GO TO 295 + KDFLG = 2 + GO TO 290 + 280 CONTINUE + IF (RS1.GT.0.0D0) GO TO 320 + S2R = ZEROR + S2I = ZEROI + GO TO 250 + 290 CONTINUE + K = N + 295 CONTINUE + IL = N - K + IF (IL.EQ.0) RETURN +C----------------------------------------------------------------------- +C RECUR BACKWARD FOR REMAINDER OF I SEQUENCE AND ADD IN THE +C K FUNCTIONS, SCALING THE I SEQUENCE DURING RECURRENCE TO KEEP +C INTERMEDIATE ARITHMETIC ON SCALE NEAR EXPONENT EXTREMES. +C----------------------------------------------------------------------- + S1R = CYR(1) + S1I = CYI(1) + S2R = CYR(2) + S2I = CYI(2) + CSR = CSRR(IFLAG) + ASCLE = BRY(IFLAG) + FN = DBLE(FLOAT(INU+IL)) + DO 310 I=1,IL + C2R = S2R + C2I = S2I + S2R = S1R + (FN+FNF)*(RZR*C2R-RZI*C2I) + S2I = S1I + (FN+FNF)*(RZR*C2I+RZI*C2R) + S1R = C2R + S1I = C2I + FN = FN - 1.0D0 + C2R = S2R*CSR + C2I = S2I*CSR + CKR = C2R + CKI = C2I + C1R = YR(KK) + C1I = YI(KK) + IF (KODE.EQ.1) GO TO 300 + CALL ZS1S2(ZRR, ZRI, C1R, C1I, C2R, C2I, NW, ASC, ALIM, IUF) + NZ = NZ + NW + 300 CONTINUE + YR(KK) = C1R*CSPNR - C1I*CSPNI + C2R + YI(KK) = C1R*CSPNI + C1I*CSPNR + C2I + KK = KK - 1 + CSPNR = -CSPNR + CSPNI = -CSPNI + IF (IFLAG.GE.3) GO TO 310 + C2R = DABS(CKR) + C2I = DABS(CKI) + C2M = DMAX1(C2R,C2I) + IF (C2M.LE.ASCLE) GO TO 310 + IFLAG = IFLAG + 1 + ASCLE = BRY(IFLAG) + S1R = S1R*CSR + S1I = S1I*CSR + S2R = CKR + S2I = CKI + S1R = S1R*CSSR(IFLAG) + S1I = S1I*CSSR(IFLAG) + S2R = S2R*CSSR(IFLAG) + S2I = S2I*CSSR(IFLAG) + CSR = CSRR(IFLAG) + 310 CONTINUE + RETURN + 320 CONTINUE + NZ = -1 + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zuoik.f julia-0.2.1~quantal7/deps/openspecfun/amos/zuoik.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zuoik.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zuoik.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,194 @@ + SUBROUTINE ZUOIK(ZR, ZI, FNU, KODE, IKFLG, N, YR, YI, NUF, TOL, + * ELIM, ALIM) +C***BEGIN PROLOGUE ZUOIK +C***REFER TO ZBESI,ZBESK,ZBESH +C +C ZUOIK COMPUTES THE LEADING TERMS OF THE UNIFORM ASYMPTOTIC +C EXPANSIONS FOR THE I AND K FUNCTIONS AND COMPARES THEM +C (IN LOGARITHMIC FORM) TO ALIM AND ELIM FOR OVER AND UNDERFLOW +C WHERE ALIM.LT.ELIM. IF THE MAGNITUDE, BASED ON THE LEADING +C EXPONENTIAL, IS LESS THAN ALIM OR GREATER THAN -ALIM, THEN +C THE RESULT IS ON SCALE. IF NOT, THEN A REFINED TEST USING OTHER +C MULTIPLIERS (IN LOGARITHMIC FORM) IS MADE BASED ON ELIM. HERE +C EXP(-ELIM)=SMALLEST MACHINE NUMBER*1.0E+3 AND EXP(-ALIM)= +C EXP(-ELIM)/TOL +C +C IKFLG=1 MEANS THE I SEQUENCE IS TESTED +C =2 MEANS THE K SEQUENCE IS TESTED +C NUF = 0 MEANS THE LAST MEMBER OF THE SEQUENCE IS ON SCALE +C =-1 MEANS AN OVERFLOW WOULD OCCUR +C IKFLG=1 AND NUF.GT.0 MEANS THE LAST NUF Y VALUES WERE SET TO ZERO +C THE FIRST N-NUF VALUES MUST BE SET BY ANOTHER ROUTINE +C IKFLG=2 AND NUF.EQ.N MEANS ALL Y VALUES WERE SET TO ZERO +C IKFLG=2 AND 0.LT.NUF.LT.N NOT CONSIDERED. Y MUST BE SET BY +C ANOTHER ROUTINE +C +C***ROUTINES CALLED ZUCHK,ZUNHJ,ZUNIK,D1MACH,ZABS,ZLOG +C***END PROLOGUE ZUOIK +C COMPLEX ARG,ASUM,BSUM,CWRK,CZ,CZERO,PHI,SUM,Y,Z,ZB,ZETA1,ZETA2,ZN, +C *ZR + DOUBLE PRECISION AARG, AIC, ALIM, APHI, ARGI, ARGR, ASUMI, ASUMR, + * ASCLE, AX, AY, BSUMI, BSUMR, CWRKI, CWRKR, CZI, CZR, ELIM, FNN, + * FNU, GNN, GNU, PHII, PHIR, RCZ, STR, STI, SUMI, SUMR, TOL, YI, + * YR, ZBI, ZBR, ZEROI, ZEROR, ZETA1I, ZETA1R, ZETA2I, ZETA2R, ZI, + * ZNI, ZNR, ZR, ZRI, ZRR, D1MACH, ZABS + INTEGER I, IDUM, IFORM, IKFLG, INIT, KODE, N, NN, NUF, NW + DIMENSION YR(N), YI(N), CWRKR(16), CWRKI(16) + DATA ZEROR,ZEROI / 0.0D0, 0.0D0 / + DATA AIC / 1.265512123484645396D+00 / + NUF = 0 + NN = N + ZRR = ZR + ZRI = ZI + IF (ZR.GE.0.0D0) GO TO 10 + ZRR = -ZR + ZRI = -ZI + 10 CONTINUE + ZBR = ZRR + ZBI = ZRI + AX = DABS(ZR)*1.7321D0 + AY = DABS(ZI) + IFORM = 1 + IF (AY.GT.AX) IFORM = 2 + GNU = DMAX1(FNU,1.0D0) + IF (IKFLG.EQ.1) GO TO 20 + FNN = DBLE(FLOAT(NN)) + GNN = FNU + FNN - 1.0D0 + GNU = DMAX1(GNN,FNN) + 20 CONTINUE +C----------------------------------------------------------------------- +C ONLY THE MAGNITUDE OF ARG AND PHI ARE NEEDED ALONG WITH THE +C REAL PARTS OF ZETA1, ZETA2 AND ZB. NO ATTEMPT IS MADE TO GET +C THE SIGN OF THE IMAGINARY PART CORRECT. +C----------------------------------------------------------------------- + IF (IFORM.EQ.2) GO TO 30 + INIT = 0 + CALL ZUNIK(ZRR, ZRI, GNU, IKFLG, 1, TOL, INIT, PHIR, PHII, + * ZETA1R, ZETA1I, ZETA2R, ZETA2I, SUMR, SUMI, CWRKR, CWRKI) + CZR = -ZETA1R + ZETA2R + CZI = -ZETA1I + ZETA2I + GO TO 50 + 30 CONTINUE + ZNR = ZRI + ZNI = -ZRR + IF (ZI.GT.0.0D0) GO TO 40 + ZNR = -ZNR + 40 CONTINUE + CALL ZUNHJ(ZNR, ZNI, GNU, 1, TOL, PHIR, PHII, ARGR, ARGI, ZETA1R, + * ZETA1I, ZETA2R, ZETA2I, ASUMR, ASUMI, BSUMR, BSUMI) + CZR = -ZETA1R + ZETA2R + CZI = -ZETA1I + ZETA2I + AARG = ZABS(COMPLEX(ARGR,ARGI)) + 50 CONTINUE + IF (KODE.EQ.1) GO TO 60 + CZR = CZR - ZBR + CZI = CZI - ZBI + 60 CONTINUE + IF (IKFLG.EQ.1) GO TO 70 + CZR = -CZR + CZI = -CZI + 70 CONTINUE + APHI = ZABS(COMPLEX(PHIR,PHII)) + RCZ = CZR +C----------------------------------------------------------------------- +C OVERFLOW TEST +C----------------------------------------------------------------------- + IF (RCZ.GT.ELIM) GO TO 210 + IF (RCZ.LT.ALIM) GO TO 80 + RCZ = RCZ + DLOG(APHI) + IF (IFORM.EQ.2) RCZ = RCZ - 0.25D0*DLOG(AARG) - AIC + IF (RCZ.GT.ELIM) GO TO 210 + GO TO 130 + 80 CONTINUE +C----------------------------------------------------------------------- +C UNDERFLOW TEST +C----------------------------------------------------------------------- + IF (RCZ.LT.(-ELIM)) GO TO 90 + IF (RCZ.GT.(-ALIM)) GO TO 130 + RCZ = RCZ + DLOG(APHI) + IF (IFORM.EQ.2) RCZ = RCZ - 0.25D0*DLOG(AARG) - AIC + IF (RCZ.GT.(-ELIM)) GO TO 110 + 90 CONTINUE + DO 100 I=1,NN + YR(I) = ZEROR + YI(I) = ZEROI + 100 CONTINUE + NUF = NN + RETURN + 110 CONTINUE + ASCLE = 1.0D+3*D1MACH(1)/TOL + CALL ZLOG(PHIR, PHII, STR, STI, IDUM) + CZR = CZR + STR + CZI = CZI + STI + IF (IFORM.EQ.1) GO TO 120 + CALL ZLOG(ARGR, ARGI, STR, STI, IDUM) + CZR = CZR - 0.25D0*STR - AIC + CZI = CZI - 0.25D0*STI + 120 CONTINUE + AX = DEXP(RCZ)/TOL + AY = CZI + CZR = AX*DCOS(AY) + CZI = AX*DSIN(AY) + CALL ZUCHK(CZR, CZI, NW, ASCLE, TOL) + IF (NW.NE.0) GO TO 90 + 130 CONTINUE + IF (IKFLG.EQ.2) RETURN + IF (N.EQ.1) RETURN +C----------------------------------------------------------------------- +C SET UNDERFLOWS ON I SEQUENCE +C----------------------------------------------------------------------- + 140 CONTINUE + GNU = FNU + DBLE(FLOAT(NN-1)) + IF (IFORM.EQ.2) GO TO 150 + INIT = 0 + CALL ZUNIK(ZRR, ZRI, GNU, IKFLG, 1, TOL, INIT, PHIR, PHII, + * ZETA1R, ZETA1I, ZETA2R, ZETA2I, SUMR, SUMI, CWRKR, CWRKI) + CZR = -ZETA1R + ZETA2R + CZI = -ZETA1I + ZETA2I + GO TO 160 + 150 CONTINUE + CALL ZUNHJ(ZNR, ZNI, GNU, 1, TOL, PHIR, PHII, ARGR, ARGI, ZETA1R, + * ZETA1I, ZETA2R, ZETA2I, ASUMR, ASUMI, BSUMR, BSUMI) + CZR = -ZETA1R + ZETA2R + CZI = -ZETA1I + ZETA2I + AARG = ZABS(COMPLEX(ARGR,ARGI)) + 160 CONTINUE + IF (KODE.EQ.1) GO TO 170 + CZR = CZR - ZBR + CZI = CZI - ZBI + 170 CONTINUE + APHI = ZABS(COMPLEX(PHIR,PHII)) + RCZ = CZR + IF (RCZ.LT.(-ELIM)) GO TO 180 + IF (RCZ.GT.(-ALIM)) RETURN + RCZ = RCZ + DLOG(APHI) + IF (IFORM.EQ.2) RCZ = RCZ - 0.25D0*DLOG(AARG) - AIC + IF (RCZ.GT.(-ELIM)) GO TO 190 + 180 CONTINUE + YR(NN) = ZEROR + YI(NN) = ZEROI + NN = NN - 1 + NUF = NUF + 1 + IF (NN.EQ.0) RETURN + GO TO 140 + 190 CONTINUE + ASCLE = 1.0D+3*D1MACH(1)/TOL + CALL ZLOG(PHIR, PHII, STR, STI, IDUM) + CZR = CZR + STR + CZI = CZI + STI + IF (IFORM.EQ.1) GO TO 200 + CALL ZLOG(ARGR, ARGI, STR, STI, IDUM) + CZR = CZR - 0.25D0*STR - AIC + CZI = CZI - 0.25D0*STI + 200 CONTINUE + AX = DEXP(RCZ)/TOL + AY = CZI + CZR = AX*DCOS(AY) + CZI = AX*DSIN(AY) + CALL ZUCHK(CZR, CZI, NW, ASCLE, TOL) + IF (NW.NE.0) GO TO 180 + RETURN + 210 CONTINUE + NUF = -1 + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zwrsk.f julia-0.2.1~quantal7/deps/openspecfun/amos/zwrsk.f --- julia-0.2.0~quantalfinal1/deps/openspecfun/amos/zwrsk.f 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/amos/zwrsk.f 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,94 @@ + SUBROUTINE ZWRSK(ZRR, ZRI, FNU, KODE, N, YR, YI, NZ, CWR, CWI, + * TOL, ELIM, ALIM) +C***BEGIN PROLOGUE ZWRSK +C***REFER TO ZBESI,ZBESK +C +C ZWRSK COMPUTES THE I BESSEL FUNCTION FOR RE(Z).GE.0.0 BY +C NORMALIZING THE I FUNCTION RATIOS FROM ZRATI BY THE WRONSKIAN +C +C***ROUTINES CALLED D1MACH,ZBKNU,ZRATI,ZABS +C***END PROLOGUE ZWRSK +C COMPLEX CINU,CSCL,CT,CW,C1,C2,RCT,ST,Y,ZR + DOUBLE PRECISION ACT, ACW, ALIM, ASCLE, CINUI, CINUR, CSCLR, CTI, + * CTR, CWI, CWR, C1I, C1R, C2I, C2R, ELIM, FNU, PTI, PTR, RACT, + * STI, STR, TOL, YI, YR, ZRI, ZRR, ZABS, D1MACH + INTEGER I, KODE, N, NW, NZ + DIMENSION YR(N), YI(N), CWR(2), CWI(2) +C----------------------------------------------------------------------- +C I(FNU+I-1,Z) BY BACKWARD RECURRENCE FOR RATIOS +C Y(I)=I(FNU+I,Z)/I(FNU+I-1,Z) FROM CRATI NORMALIZED BY THE +C WRONSKIAN WITH K(FNU,Z) AND K(FNU+1,Z) FROM CBKNU. +C----------------------------------------------------------------------- + NZ = 0 + CALL ZBKNU(ZRR, ZRI, FNU, KODE, 2, CWR, CWI, NW, TOL, ELIM, ALIM) + IF (NW.NE.0) GO TO 50 + CALL ZRATI(ZRR, ZRI, FNU, N, YR, YI, TOL) +C----------------------------------------------------------------------- +C RECUR FORWARD ON I(FNU+1,Z) = R(FNU,Z)*I(FNU,Z), +C R(FNU+J-1,Z)=Y(J), J=1,...,N +C----------------------------------------------------------------------- + CINUR = 1.0D0 + CINUI = 0.0D0 + IF (KODE.EQ.1) GO TO 10 + CINUR = DCOS(ZRI) + CINUI = DSIN(ZRI) + 10 CONTINUE +C----------------------------------------------------------------------- +C ON LOW EXPONENT MACHINES THE K FUNCTIONS CAN BE CLOSE TO BOTH +C THE UNDER AND OVERFLOW LIMITS AND THE NORMALIZATION MUST BE +C SCALED TO PREVENT OVER OR UNDERFLOW. CUOIK HAS DETERMINED THAT +C THE RESULT IS ON SCALE. +C----------------------------------------------------------------------- + ACW = ZABS(COMPLEX(CWR(2),CWI(2))) + ASCLE = 1.0D+3*D1MACH(1)/TOL + CSCLR = 1.0D0 + IF (ACW.GT.ASCLE) GO TO 20 + CSCLR = 1.0D0/TOL + GO TO 30 + 20 CONTINUE + ASCLE = 1.0D0/ASCLE + IF (ACW.LT.ASCLE) GO TO 30 + CSCLR = TOL + 30 CONTINUE + C1R = CWR(1)*CSCLR + C1I = CWI(1)*CSCLR + C2R = CWR(2)*CSCLR + C2I = CWI(2)*CSCLR + STR = YR(1) + STI = YI(1) +C----------------------------------------------------------------------- +C CINU=CINU*(CONJG(CT)/CABS(CT))*(1.0D0/CABS(CT) PREVENTS +C UNDER- OR OVERFLOW PREMATURELY BY SQUARING CABS(CT) +C----------------------------------------------------------------------- + PTR = STR*C1R - STI*C1I + PTI = STR*C1I + STI*C1R + PTR = PTR + C2R + PTI = PTI + C2I + CTR = ZRR*PTR - ZRI*PTI + CTI = ZRR*PTI + ZRI*PTR + ACT = ZABS(COMPLEX(CTR,CTI)) + RACT = 1.0D0/ACT + CTR = CTR*RACT + CTI = -CTI*RACT + PTR = CINUR*RACT + PTI = CINUI*RACT + CINUR = PTR*CTR - PTI*CTI + CINUI = PTR*CTI + PTI*CTR + YR(1) = CINUR*CSCLR + YI(1) = CINUI*CSCLR + IF (N.EQ.1) RETURN + DO 40 I=2,N + PTR = STR*CINUR - STI*CINUI + CINUI = STR*CINUI + STI*CINUR + CINUR = PTR + STR = YR(I) + STI = YI(I) + YR(I) = CINUR*CSCLR + YI(I) = CINUI*CSCLR + 40 CONTINUE + RETURN + 50 CONTINUE + NZ = -1 + IF(NW.EQ.(-2)) NZ=-2 + RETURN + END diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/Faddeeva/Faddeeva.c julia-0.2.1~quantal7/deps/openspecfun/Faddeeva/Faddeeva.c --- julia-0.2.0~quantalfinal1/deps/openspecfun/Faddeeva/Faddeeva.c 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/Faddeeva/Faddeeva.c 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,3 @@ +/* The Faddeeva.cc file contains macros to let it compile as C code + (assuming C99 complex-number support), so just #include it. */ +#include "Faddeeva.cc" diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/Faddeeva/Faddeeva.cc julia-0.2.1~quantal7/deps/openspecfun/Faddeeva/Faddeeva.cc --- julia-0.2.0~quantalfinal1/deps/openspecfun/Faddeeva/Faddeeva.cc 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/Faddeeva/Faddeeva.cc 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,2528 @@ +// -*- mode:c++; tab-width:2; indent-tabs-mode:nil; -*- + +/* Copyright (c) 2012 Massachusetts Institute of Technology + * + * Permission is hereby granted, free of charge, to any person obtaining + * a copy of this software and associated documentation files (the + * "Software"), to deal in the Software without restriction, including + * without limitation the rights to use, copy, modify, merge, publish, + * distribute, sublicense, and/or sell copies of the Software, and to + * permit persons to whom the Software is furnished to do so, subject to + * the following conditions: + * + * The above copyright notice and this permission notice shall be + * included in all copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, + * EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF + * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND + * NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE + * LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION + * OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION + * WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. + */ + +/* (Note that this file can be compiled with either C++, in which + case it uses C++ std::complex, or C, in which case it + uses C99 double complex.) */ + +/* Available at: http://ab-initio.mit.edu/Faddeeva + + Computes various error functions (erf, erfc, erfi, erfcx), + including the Dawson integral, in the complex plane, based + on algorithms for the computation of the Faddeeva function + w(z) = exp(-z^2) * erfc(-i*z). + Given w(z), the error functions are mostly straightforward + to compute, except for certain regions where we have to + switch to Taylor expansions to avoid cancellation errors + [e.g. near the origin for erf(z)]. + + To compute the Faddeeva function, we use a combination of two + algorithms: + + For sufficiently large |z|, we use a continued-fraction expansion + for w(z) similar to those described in: + + Walter Gautschi, "Efficient computation of the complex error + function," SIAM J. Numer. Anal. 7(1), pp. 187-198 (1970) + + G. P. M. Poppe and C. M. J. Wijers, "More efficient computation + of the complex error function," ACM Trans. Math. Soft. 16(1), + pp. 38-46 (1990). + + Unlike those papers, however, we switch to a completely different + algorithm for smaller |z|: + + Mofreh R. Zaghloul and Ahmed N. Ali, "Algorithm 916: Computing the + Faddeyeva and Voigt Functions," ACM Trans. Math. Soft. 38(2), 15 + (2011). + + (I initially used this algorithm for all z, but it turned out to be + significantly slower than the continued-fraction expansion for + larger |z|. On the other hand, it is competitive for smaller |z|, + and is significantly more accurate than the Poppe & Wijers code + in some regions, e.g. in the vicinity of z=1+1i.) + + Note that this is an INDEPENDENT RE-IMPLEMENTATION of these algorithms, + based on the description in the papers ONLY. In particular, I did + not refer to the authors' Fortran or Matlab implementations, respectively, + (which are under restrictive ACM copyright terms and therefore unusable + in free/open-source software). + + Steven G. Johnson, Massachusetts Institute of Technology + http://math.mit.edu/~stevenj + October 2012. + + -- Note that Algorithm 916 assumes that the erfc(x) function, + or rather the scaled function erfcx(x) = exp(x*x)*erfc(x), + is supplied for REAL arguments x. I originally used an + erfcx routine derived from DERFC in SLATEC, but I have + since replaced it with a much faster routine written by + me which uses a combination of continued-fraction expansions + and a lookup table of Chebyshev polynomials. For speed, + I implemented a similar algorithm for Im[w(x)] of real x, + since this comes up frequently in the other error functions. + + A small test program is included the end, which checks + the w(z) etc. results against several known values. To compile + the test function, compile with -DTEST_FADDEEVA (that is, + #define TEST_FADDEEVA). + + If HAVE_CONFIG_H is #defined (e.g. by compiling with -DHAVE_CONFIG_H), + then we #include "config.h", which is assumed to be a GNU autoconf-style + header defining HAVE_* macros to indicate the presence of features. In + particular, if HAVE_ISNAN and HAVE_ISINF are #defined, we use those + functions in math.h instead of defining our own, and if HAVE_ERF and/or + HAVE_ERFC are defined we use those functions from for erf and + erfc of real arguments, respectively, instead of defining our own. + + REVISION HISTORY: + 4 October 2012: Initial public release (SGJ) + 5 October 2012: Revised (SGJ) to fix spelling error, + start summation for large x at round(x/a) (> 1) + rather than ceil(x/a) as in the original + paper, which should slightly improve performance + (and, apparently, slightly improves accuracy) + 19 October 2012: Revised (SGJ) to fix bugs for large x, large -y, + and 15 1e154. + Set relerr argument to min(relerr,0.1). + 27 October 2012: Enhance accuracy in Re[w(z)] taken by itself, + by switching to Alg. 916 in a region near + the real-z axis where continued fractions + have poor relative accuracy in Re[w(z)]. Thanks + to M. Zaghloul for the tip. + 29 October 2012: Replace SLATEC-derived erfcx routine with + completely rewritten code by me, using a very + different algorithm which is much faster. + 30 October 2012: Implemented special-case code for real z + (where real part is exp(-x^2) and imag part is + Dawson integral), using algorithm similar to erfx. + Export ImFaddeeva_w function to make Dawson's + integral directly accessible. + 3 November 2012: Provide implementations of erf, erfc, erfcx, + and Dawson functions in Faddeeva:: namespace, + in addition to Faddeeva::w. Provide header + file Faddeeva.hh. + 4 November 2012: Slightly faster erf for real arguments. + Updated MATLAB and Octave plugins. + 27 November 2012: Support compilation with either C++ or + plain C (using C99 complex numbers). + For real x, use standard-library erf(x) + and erfc(x) if available (for C99 or C++11). + #include "config.h" if HAVE_CONFIG_H is #defined. + 15 December 2012: Portability fixes (copysign, Inf/NaN creation), + use CMPLX/__builtin_complex if available in C, + slight accuracy improvements to erf and dawson + functions near the origin. Use gnulib functions + if GNULIB_NAMESPACE is defined. + 18 December 2012: Slight tweaks (remove recomputation of x*x in Dawson) +*/ + +///////////////////////////////////////////////////////////////////////// +/* If this file is compiled as a part of a larger project, + support using an autoconf-style config.h header file + (with various "HAVE_*" #defines to indicate features) + if HAVE_CONFIG_H is #defined (in GNU autotools style). */ + +#ifdef HAVE_CONFIG_H +# include "config.h" +#endif + +///////////////////////////////////////////////////////////////////////// +// macros to allow us to use either C++ or C (with C99 features) + +#ifdef __cplusplus + +# include "Faddeeva.hh" + +# include +# include +# include +using namespace std; + +// use std::numeric_limits, since 1./0. and 0./0. fail with some compilers (MS) +# define Inf numeric_limits::infinity() +# define NaN numeric_limits::quiet_NaN() + +typedef complex cmplx; + +// Use C-like complex syntax, since the C syntax is more restrictive +# define cexp(z) exp(z) +# define creal(z) real(z) +# define cimag(z) imag(z) +# define cpolar(r,t) polar(r,t) + +# define C(a,b) cmplx(a,b) + +# define FADDEEVA(name) Faddeeva::name +# define FADDEEVA_RE(name) Faddeeva::name + +// isnan/isinf were introduced in C++11 +# if (__cplusplus < 201103L) && (!defined(HAVE_ISNAN) || !defined(HAVE_ISINF)) +static inline bool my_isnan(double x) { return x != x; } +# define isnan my_isnan +static inline bool my_isinf(double x) { return 1/x == 0.; } +# define isinf my_isinf +# elif (__cplusplus >= 201103L) +// g++ gets confused between the C and C++ isnan/isinf functions +# define isnan std::isnan +# define isinf std::isinf +# endif + +// copysign was introduced in C++11 (and is also in POSIX and C99) +# if defined(_WIN32) || defined(__WIN32__) +# define copysign _copysign // of course MS had to be different +# elif defined(GNULIB_NAMESPACE) // we are using using gnulib +# define copysign GNULIB_NAMESPACE::copysign +# elif (__cplusplus < 201103L) && !defined(HAVE_COPYSIGN) && !defined(__linux__) && !(defined(__APPLE__) && defined(__MACH__)) && !defined(_AIX) +static inline double my_copysign(double x, double y) { return y<0 ? -x : x; } +# define copysign my_copysign +# endif + +// If we are using the gnulib (e.g. in the GNU Octave sources), +// gnulib generates a link warning if we use ::floor instead of gnulib::floor. +// This warning is completely innocuous because the only difference between +// gnulib::floor and the system ::floor (and only on ancient OSF systems) +// has to do with floor(-0), which doesn't occur in the usage below, but +// the Octave developers prefer that we silence the warning. +# ifdef GNULIB_NAMESPACE +# define floor GNULIB_NAMESPACE::floor +# endif + +#else // !__cplusplus, i.e. pure C (requires C99 features) + +# include "Faddeeva.h" + +# define _GNU_SOURCE // enable GNU libc NAN extension if possible + +# include + +#ifdef USE_OPENLIBM +# include +#else +# include +#endif + +typedef double complex cmplx; + +# define FADDEEVA(name) Faddeeva_ ## name +# define FADDEEVA_RE(name) Faddeeva_ ## name ## _re + +/* Constructing complex numbers like 0+i*NaN is problematic in C99 + without the C11 CMPLX macro, because 0.+I*NAN may give NaN+i*NAN if + I is a complex (rather than imaginary) constant. For some reason, + however, it works fine in (pre-4.7) gcc if I define Inf and NaN as + 1/0 and 0/0 (and only if I compile with optimization -O1 or more), + but not if I use the INFINITY or NAN macros. */ + +/* __builtin_complex was introduced in gcc 4.7, but the C11 CMPLX macro + may not be defined unless we are using a recent (2012) version of + glibc and compile with -std=c11... note that icc lies about being + gcc and probably doesn't have this builtin(?), so exclude icc explicitly */ +# if !defined(CMPLX) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 7)) && !(defined(__ICC) || defined(__INTEL_COMPILER)) +# define CMPLX(a,b) __builtin_complex((double) (a), (double) (b)) +# endif + +# ifdef USE_OPENLIBM +# ifndef CMPLX +# include "math_private.h" +# define CMPLX(a,b) cpack(a,b) +# endif +# endif + +# ifdef CMPLX // C11 +# define C(a,b) CMPLX(a,b) +# define Inf INFINITY // C99 infinity +# ifdef NAN // GNU libc extension +# define NaN NAN +# else +# define NaN (0./0.) // NaN +# endif +# else +# define C(a,b) ((a) + I*(b)) +# define Inf (1./0.) +# define NaN (0./0.) +# endif + +static inline cmplx cpolar(double r, double t) +{ + if (r == 0.0 && !isnan(t)) + return 0.0; + else + return C(r * cos(t), r * sin(t)); +} + +#endif // !__cplusplus, i.e. pure C (requires C99 features) + +///////////////////////////////////////////////////////////////////////// +// Auxiliary routines to compute other special functions based on w(z) + +// compute erfcx(z) = exp(z^2) erfz(z) +cmplx FADDEEVA(erfcx)(cmplx z, double relerr) +{ + return FADDEEVA(w)(C(-cimag(z), creal(z)), relerr); +} + +// compute the error function erf(x) +double FADDEEVA_RE(erf)(double x) +{ +#if !defined(__cplusplus) + return erf(x); // C99 supplies erf in math.h +#elif (__cplusplus >= 201103L) || defined(HAVE_ERF) + return ::erf(x); // C++11 supplies std::erf in cmath +#else + double mx2 = -x*x; + if (mx2 < -750) // underflow + return (x >= 0 ? 1.0 : -1.0); + + if (x >= 0) { + if (x < 8e-2) goto taylor; + return 1.0 - exp(mx2) * FADDEEVA_RE(erfcx)(x); + } + else { // x < 0 + if (x > -8e-2) goto taylor; + return exp(mx2) * FADDEEVA_RE(erfcx)(-x) - 1.0; + } + + // Use Taylor series for small |x|, to avoid cancellation inaccuracy + // erf(x) = 2/sqrt(pi) * x * (1 - x^2/3 + x^4/10 - x^6/42 + x^8/216 + ...) + taylor: + return x * (1.1283791670955125739 + + mx2 * (0.37612638903183752464 + + mx2 * (0.11283791670955125739 + + mx2 * (0.026866170645131251760 + + mx2 * 0.0052239776254421878422)))); +#endif +} + +// compute the error function erf(z) +cmplx FADDEEVA(erf)(cmplx z, double relerr) +{ + double x = creal(z), y = cimag(z); + + if (y == 0) + return C(FADDEEVA_RE(erf)(x), + y); // preserve sign of 0 + if (x == 0) // handle separately for speed & handling of y = Inf or NaN + return C(x, // preserve sign of 0 + /* handle y -> Inf limit manually, since + exp(y^2) -> Inf but Im[w(y)] -> 0, so + IEEE will give us a NaN when it should be Inf */ + y*y > 720 ? (y > 0 ? Inf : -Inf) + : exp(y*y) * FADDEEVA(w_im)(y)); + + double mRe_z2 = (y - x) * (x + y); // Re(-z^2), being careful of overflow + double mIm_z2 = -2*x*y; // Im(-z^2) + if (mRe_z2 < -750) // underflow + return (x >= 0 ? 1.0 : -1.0); + + /* Handle positive and negative x via different formulas, + using the mirror symmetries of w, to avoid overflow/underflow + problems from multiplying exponentially large and small quantities. */ + if (x >= 0) { + if (x < 8e-2) { + if (fabs(y) < 1e-2) + goto taylor; + else if (fabs(mIm_z2) < 5e-3 && x < 5e-3) + goto taylor_erfi; + } + /* don't use complex exp function, since that will produce spurious NaN + values when multiplying w in an overflow situation. */ + return 1.0 - exp(mRe_z2) * + (C(cos(mIm_z2), sin(mIm_z2)) + * FADDEEVA(w)(C(-y,x), relerr)); + } + else { // x < 0 + if (x > -8e-2) { // duplicate from above to avoid fabs(x) call + if (fabs(y) < 1e-2) + goto taylor; + else if (fabs(mIm_z2) < 5e-3 && x > -5e-3) + goto taylor_erfi; + } + else if (isnan(x)) + return C(NaN, y == 0 ? 0 : NaN); + /* don't use complex exp function, since that will produce spurious NaN + values when multiplying w in an overflow situation. */ + return exp(mRe_z2) * + (C(cos(mIm_z2), sin(mIm_z2)) + * FADDEEVA(w)(C(y,-x), relerr)) - 1.0; + } + + // Use Taylor series for small |z|, to avoid cancellation inaccuracy + // erf(z) = 2/sqrt(pi) * z * (1 - z^2/3 + z^4/10 - z^6/42 + z^8/216 + ...) + taylor: + { + cmplx mz2 = C(mRe_z2, mIm_z2); // -z^2 + return z * (1.1283791670955125739 + + mz2 * (0.37612638903183752464 + + mz2 * (0.11283791670955125739 + + mz2 * (0.026866170645131251760 + + mz2 * 0.0052239776254421878422)))); + } + + /* for small |x| and small |xy|, + use Taylor series to avoid cancellation inaccuracy: + erf(x+iy) = erf(iy) + + 2*exp(y^2)/sqrt(pi) * + [ x * (1 - x^2 * (1+2y^2)/3 + x^4 * (3+12y^2+4y^4)/30 + ... + - i * x^2 * y * (1 - x^2 * (3+2y^2)/6 + ...) ] + where: + erf(iy) = exp(y^2) * Im[w(y)] + */ + taylor_erfi: + { + double x2 = x*x, y2 = y*y; + double expy2 = exp(y2); + return C + (expy2 * x * (1.1283791670955125739 + - x2 * (0.37612638903183752464 + + 0.75225277806367504925*y2) + + x2*x2 * (0.11283791670955125739 + + y2 * (0.45135166683820502956 + + 0.15045055561273500986*y2))), + expy2 * (FADDEEVA(w_im)(y) + - x2*y * (1.1283791670955125739 + - x2 * (0.56418958354775628695 + + 0.37612638903183752464*y2)))); + } +} + +// erfi(z) = -i erf(iz) +cmplx FADDEEVA(erfi)(cmplx z, double relerr) +{ + cmplx e = FADDEEVA(erf)(C(-cimag(z),creal(z)), relerr); + return C(cimag(e), -creal(e)); +} + +// erfi(x) = -i erf(ix) +double FADDEEVA_RE(erfi)(double x) +{ + return x*x > 720 ? (x > 0 ? Inf : -Inf) + : exp(x*x) * FADDEEVA(w_im)(x); +} + +// erfc(x) = 1 - erf(x) +double FADDEEVA_RE(erfc)(double x) +{ +#if !defined(__cplusplus) + return erfc(x); // C99 supplies erfc in math.h +#elif (__cplusplus >= 201103L) || defined(HAVE_ERFC) + return ::erfc(x); // C++11 supplies std::erfc in cmath +#else + if (x*x > 750) // underflow + return (x >= 0 ? 0.0 : 2.0); + return x >= 0 ? exp(-x*x) * FADDEEVA_RE(erfcx)(x) + : 2. - exp(-x*x) * FADDEEVA_RE(erfcx)(-x); +#endif +} + +// erfc(z) = 1 - erf(z) +cmplx FADDEEVA(erfc)(cmplx z, double relerr) +{ + double x = creal(z), y = cimag(z); + + if (x == 0.) + return C(1, + /* handle y -> Inf limit manually, since + exp(y^2) -> Inf but Im[w(y)] -> 0, so + IEEE will give us a NaN when it should be Inf */ + y*y > 720 ? (y > 0 ? -Inf : Inf) + : -exp(y*y) * FADDEEVA(w_im)(y)); + if (y == 0.) { + if (x*x > 750) // underflow + return C(x >= 0 ? 0.0 : 2.0, + -y); // preserve sign of 0 + return C(x >= 0 ? exp(-x*x) * FADDEEVA_RE(erfcx)(x) + : 2. - exp(-x*x) * FADDEEVA_RE(erfcx)(-x), + -y); // preserve sign of zero + } + + double mRe_z2 = (y - x) * (x + y); // Re(-z^2), being careful of overflow + double mIm_z2 = -2*x*y; // Im(-z^2) + if (mRe_z2 < -750) // underflow + return (x >= 0 ? 0.0 : 2.0); + + if (x >= 0) + return cexp(C(mRe_z2, mIm_z2)) + * FADDEEVA(w)(C(-y,x), relerr); + else + return 2.0 - cexp(C(mRe_z2, mIm_z2)) + * FADDEEVA(w)(C(y,-x), relerr); +} + +// compute Dawson(x) = sqrt(pi)/2 * exp(-x^2) * erfi(x) +double FADDEEVA_RE(Dawson)(double x) +{ + const double spi2 = 0.8862269254527580136490837416705725913990; // sqrt(pi)/2 + return spi2 * FADDEEVA(w_im)(x); +} + +// compute Dawson(z) = sqrt(pi)/2 * exp(-z^2) * erfi(z) +cmplx FADDEEVA(Dawson)(cmplx z, double relerr) +{ + const double spi2 = 0.8862269254527580136490837416705725913990; // sqrt(pi)/2 + double x = creal(z), y = cimag(z); + + // handle axes separately for speed & proper handling of x or y = Inf or NaN + if (y == 0) + return C(spi2 * FADDEEVA(w_im)(x), + -y); // preserve sign of 0 + if (x == 0) { + double y2 = y*y; + if (y2 < 2.5e-5) { // Taylor expansion + return C(x, // preserve sign of 0 + y * (1. + + y2 * (0.6666666666666666666666666666666666666667 + + y2 * 0.26666666666666666666666666666666666667))); + } + return C(x, // preserve sign of 0 + spi2 * (y >= 0 + ? exp(y2) - FADDEEVA_RE(erfcx)(y) + : FADDEEVA_RE(erfcx)(-y) - exp(y2))); + } + + double mRe_z2 = (y - x) * (x + y); // Re(-z^2), being careful of overflow + double mIm_z2 = -2*x*y; // Im(-z^2) + cmplx mz2 = C(mRe_z2, mIm_z2); // -z^2 + + /* Handle positive and negative x via different formulas, + using the mirror symmetries of w, to avoid overflow/underflow + problems from multiplying exponentially large and small quantities. */ + if (y >= 0) { + if (y < 5e-3) { + if (fabs(x) < 5e-3) + goto taylor; + else if (fabs(mIm_z2) < 5e-3) + goto taylor_realaxis; + } + cmplx res = cexp(mz2) - FADDEEVA(w)(z, relerr); + return spi2 * C(-cimag(res), creal(res)); + } + else { // y < 0 + if (y > -5e-3) { // duplicate from above to avoid fabs(x) call + if (fabs(x) < 5e-3) + goto taylor; + else if (fabs(mIm_z2) < 5e-3) + goto taylor_realaxis; + } + else if (isnan(y)) + return C(x == 0 ? 0 : NaN, NaN); + cmplx res = FADDEEVA(w)(-z, relerr) - cexp(mz2); + return spi2 * C(-cimag(res), creal(res)); + } + + // Use Taylor series for small |z|, to avoid cancellation inaccuracy + // dawson(z) = z - 2/3 z^3 + 4/15 z^5 + ... + taylor: + return z * (1. + + mz2 * (0.6666666666666666666666666666666666666667 + + mz2 * 0.2666666666666666666666666666666666666667)); + + /* for small |y| and small |xy|, + use Taylor series to avoid cancellation inaccuracy: + dawson(x + iy) + = D + y^2 (D + x - 2Dx^2) + + y^4 (D/2 + 5x/6 - 2Dx^2 - x^3/3 + 2Dx^4/3) + + iy [ (1-2Dx) + 2/3 y^2 (1 - 3Dx - x^2 + 2Dx^3) + + y^4/15 (4 - 15Dx - 9x^2 + 20Dx^3 + 2x^4 - 4Dx^5) ] + ... + where D = dawson(x) + + However, for large |x|, 2Dx -> 1 which gives cancellation problems in + this series (many of the leading terms cancel). So, for large |x|, + we need to substitute a continued-fraction expansion for D. + + dawson(x) = 0.5 / (x-0.5/(x-1/(x-1.5/(x-2/(x-2.5/(x...)))))) + + The 6 terms shown here seems to be the minimum needed to be + accurate as soon as the simpler Taylor expansion above starts + breaking down. Using this 6-term expansion, factoring out the + denominator, and simplifying with Maple, we obtain: + + Re dawson(x + iy) * (-15 + 90x^2 - 60x^4 + 8x^6) / x + = 33 - 28x^2 + 4x^4 + y^2 (18 - 4x^2) + 4 y^4 + Im dawson(x + iy) * (-15 + 90x^2 - 60x^4 + 8x^6) / y + = -15 + 24x^2 - 4x^4 + 2/3 y^2 (6x^2 - 15) - 4 y^4 + + Finally, for |x| > 5e7, we can use a simpler 1-term continued-fraction + expansion for the real part, and a 2-term expansion for the imaginary + part. (This avoids overflow problems for huge |x|.) This yields: + + Re dawson(x + iy) = [1 + y^2 (1 + y^2/2 - (xy)^2/3)] / (2x) + Im dawson(x + iy) = y [ -1 - 2/3 y^2 + y^4/15 (2x^2 - 4) ] / (2x^2 - 1) + + */ + taylor_realaxis: + { + double x2 = x*x; + if (x2 > 1600) { // |x| > 40 + double y2 = y*y; + if (x2 > 25e14) {// |x| > 5e7 + double xy2 = (x*y)*(x*y); + return C((0.5 + y2 * (0.5 + 0.25*y2 + - 0.16666666666666666667*xy2)) / x, + y * (-1 + y2 * (-0.66666666666666666667 + + 0.13333333333333333333*xy2 + - 0.26666666666666666667*y2)) + / (2*x2 - 1)); + } + return (1. / (-15 + x2*(90 + x2*(-60 + 8*x2)))) * + C(x * (33 + x2 * (-28 + 4*x2) + + y2 * (18 - 4*x2 + 4*y2)), + y * (-15 + x2 * (24 - 4*x2) + + y2 * (4*x2 - 10 - 4*y2))); + } + else { + double D = spi2 * FADDEEVA(w_im)(x); + double y2 = y*y; + return C + (D + y2 * (D + x - 2*D*x2) + + y2*y2 * (D * (0.5 - x2 * (2 - 0.66666666666666666667*x2)) + + x * (0.83333333333333333333 + - 0.33333333333333333333 * x2)), + y * (1 - 2*D*x + + y2 * 0.66666666666666666667 * (1 - x2 - D*x * (3 - 2*x2)) + + y2*y2 * (0.26666666666666666667 - + x2 * (0.6 - 0.13333333333333333333 * x2) + - D*x * (1 - x2 * (1.3333333333333333333 + - 0.26666666666666666667 * x2))))); + } + } +} + +///////////////////////////////////////////////////////////////////////// + +// return sinc(x) = sin(x)/x, given both x and sin(x) +// [since we only use this in cases where sin(x) has already been computed] +static inline double sinc(double x, double sinx) { + return fabs(x) < 1e-4 ? 1 - (0.1666666666666666666667)*x*x : sinx / x; +} + +// sinh(x) via Taylor series, accurate to machine precision for |x| < 1e-2 +static inline double sinh_taylor(double x) { + return x * (1 + (x*x) * (0.1666666666666666666667 + + 0.00833333333333333333333 * (x*x))); +} + +static inline double sqr(double x) { return x*x; } + +// precomputed table of expa2n2[n-1] = exp(-a2*n*n) +// for double-precision a2 = 0.26865... in FADDEEVA(w), below. +static const double expa2n2[] = { + 7.64405281671221563e-01, + 3.41424527166548425e-01, + 8.91072646929412548e-02, + 1.35887299055460086e-02, + 1.21085455253437481e-03, + 6.30452613933449404e-05, + 1.91805156577114683e-06, + 3.40969447714832381e-08, + 3.54175089099469393e-10, + 2.14965079583260682e-12, + 7.62368911833724354e-15, + 1.57982797110681093e-17, + 1.91294189103582677e-20, + 1.35344656764205340e-23, + 5.59535712428588720e-27, + 1.35164257972401769e-30, + 1.90784582843501167e-34, + 1.57351920291442930e-38, + 7.58312432328032845e-43, + 2.13536275438697082e-47, + 3.51352063787195769e-52, + 3.37800830266396920e-57, + 1.89769439468301000e-62, + 6.22929926072668851e-68, + 1.19481172006938722e-73, + 1.33908181133005953e-79, + 8.76924303483223939e-86, + 3.35555576166254986e-92, + 7.50264110688173024e-99, + 9.80192200745410268e-106, + 7.48265412822268959e-113, + 3.33770122566809425e-120, + 8.69934598159861140e-128, + 1.32486951484088852e-135, + 1.17898144201315253e-143, + 6.13039120236180012e-152, + 1.86258785950822098e-160, + 3.30668408201432783e-169, + 3.43017280887946235e-178, + 2.07915397775808219e-187, + 7.36384545323984966e-197, + 1.52394760394085741e-206, + 1.84281935046532100e-216, + 1.30209553802992923e-226, + 5.37588903521080531e-237, + 1.29689584599763145e-247, + 1.82813078022866562e-258, + 1.50576355348684241e-269, + 7.24692320799294194e-281, + 2.03797051314726829e-292, + 3.34880215927873807e-304, + 0.0 // underflow (also prevents reads past array end, below) +}; + +///////////////////////////////////////////////////////////////////////// + +cmplx FADDEEVA(w)(cmplx z, double relerr) +{ + if (creal(z) == 0.0) + return C(FADDEEVA_RE(erfcx)(cimag(z)), + creal(z)); // give correct sign of 0 in cimag(w) + else if (cimag(z) == 0) + return C(exp(-sqr(creal(z))), + FADDEEVA(w_im)(creal(z))); + + double a, a2, c; + if (relerr <= DBL_EPSILON) { + relerr = DBL_EPSILON; + a = 0.518321480430085929872; // pi / sqrt(-log(eps*0.5)) + c = 0.329973702884629072537; // (2/pi) * a; + a2 = 0.268657157075235951582; // a^2 + } + else { + const double pi = 3.14159265358979323846264338327950288419716939937510582; + if (relerr > 0.1) relerr = 0.1; // not sensible to compute < 1 digit + a = pi / sqrt(-log(relerr*0.5)); + c = (2/pi)*a; + a2 = a*a; + } + const double x = fabs(creal(z)); + const double y = cimag(z), ya = fabs(y); + + cmplx ret = 0.; // return value + + double sum1 = 0, sum2 = 0, sum3 = 0, sum4 = 0, sum5 = 0; + +#define USE_CONTINUED_FRACTION 1 // 1 to use continued fraction for large |z| + +#if USE_CONTINUED_FRACTION + if (ya > 7 || (x > 6 // continued fraction is faster + /* As pointed out by M. Zaghloul, the continued + fraction seems to give a large relative error in + Re w(z) for |x| ~ 6 and small |y|, so use + algorithm 816 in this region: */ + && (ya > 0.1 || (x > 8 && ya > 1e-10) || x > 28))) { + + /* Poppe & Wijers suggest using a number of terms + nu = 3 + 1442 / (26*rho + 77) + where rho = sqrt((x/x0)^2 + (y/y0)^2) where x0=6.3, y0=4.4. + (They only use this expansion for rho >= 1, but rho a little less + than 1 seems okay too.) + Instead, I did my own fit to a slightly different function + that avoids the hypotenuse calculation, using NLopt to minimize + the sum of the squares of the errors in nu with the constraint + that the estimated nu be >= minimum nu to attain machine precision. + I also separate the regions where nu == 2 and nu == 1. */ + const double ispi = 0.56418958354775628694807945156; // 1 / sqrt(pi) + double xs = y < 0 ? -creal(z) : creal(z); // compute for -z if y < 0 + if (x + ya > 4000) { // nu <= 2 + if (x + ya > 1e7) { // nu == 1, w(z) = i/sqrt(pi) / z + // scale to avoid overflow + if (x > ya) { + double yax = ya / xs; + double denom = ispi / (xs + yax*ya); + ret = C(denom*yax, denom); + } + else if (isinf(ya)) + return ((isnan(x) || y < 0) + ? C(NaN,NaN) : C(0,0)); + else { + double xya = xs / ya; + double denom = ispi / (xya*xs + ya); + ret = C(denom, denom*xya); + } + } + else { // nu == 2, w(z) = i/sqrt(pi) * z / (z*z - 0.5) + double dr = xs*xs - ya*ya - 0.5, di = 2*xs*ya; + double denom = ispi / (dr*dr + di*di); + ret = C(denom * (xs*di-ya*dr), denom * (xs*dr+ya*di)); + } + } + else { // compute nu(z) estimate and do general continued fraction + const double c0=3.9, c1=11.398, c2=0.08254, c3=0.1421, c4=0.2023; // fit + double nu = floor(c0 + c1 / (c2*x + c3*ya + c4)); + double wr = xs, wi = ya; + for (nu = 0.5 * (nu - 1); nu > 0.4; nu -= 0.5) { + // w <- z - nu/w: + double denom = nu / (wr*wr + wi*wi); + wr = xs - wr * denom; + wi = ya + wi * denom; + } + { // w(z) = i/sqrt(pi) / w: + double denom = ispi / (wr*wr + wi*wi); + ret = C(denom*wi, denom*wr); + } + } + if (y < 0) { + // use w(z) = 2.0*exp(-z*z) - w(-z), + // but be careful of overflow in exp(-z*z) + // = exp(-(xs*xs-ya*ya) -2*i*xs*ya) + return 2.0*cexp(C((ya-xs)*(xs+ya), 2*xs*y)) - ret; + } + else + return ret; + } +#else // !USE_CONTINUED_FRACTION + if (x + ya > 1e7) { // w(z) = i/sqrt(pi) / z, to machine precision + const double ispi = 0.56418958354775628694807945156; // 1 / sqrt(pi) + double xs = y < 0 ? -creal(z) : creal(z); // compute for -z if y < 0 + // scale to avoid overflow + if (x > ya) { + double yax = ya / xs; + double denom = ispi / (xs + yax*ya); + ret = C(denom*yax, denom); + } + else { + double xya = xs / ya; + double denom = ispi / (xya*xs + ya); + ret = C(denom, denom*xya); + } + if (y < 0) { + // use w(z) = 2.0*exp(-z*z) - w(-z), + // but be careful of overflow in exp(-z*z) + // = exp(-(xs*xs-ya*ya) -2*i*xs*ya) + return 2.0*cexp(C((ya-xs)*(xs+ya), 2*xs*y)) - ret; + } + else + return ret; + } +#endif // !USE_CONTINUED_FRACTION + + /* Note: The test that seems to be suggested in the paper is x < + sqrt(-log(DBL_MIN)), about 26.6, since otherwise exp(-x^2) + underflows to zero and sum1,sum2,sum4 are zero. However, long + before this occurs, the sum1,sum2,sum4 contributions are + negligible in double precision; I find that this happens for x > + about 6, for all y. On the other hand, I find that the case + where we compute all of the sums is faster (at least with the + precomputed expa2n2 table) until about x=10. Furthermore, if we + try to compute all of the sums for x > 20, I find that we + sometimes run into numerical problems because underflow/overflow + problems start to appear in the various coefficients of the sums, + below. Therefore, we use x < 10 here. */ + else if (x < 10) { + double prod2ax = 1, prodm2ax = 1; + double expx2; + + if (isnan(y)) + return C(y,y); + + /* Somewhat ugly copy-and-paste duplication here, but I see significant + speedups from using the special-case code with the precomputed + exponential, and the x < 5e-4 special case is needed for accuracy. */ + + if (relerr == DBL_EPSILON) { // use precomputed exp(-a2*(n*n)) table + if (x < 5e-4) { // compute sum4 and sum5 together as sum5-sum4 + const double x2 = x*x; + expx2 = 1 - x2 * (1 - 0.5*x2); // exp(-x*x) via Taylor + // compute exp(2*a*x) and exp(-2*a*x) via Taylor, to double precision + const double ax2 = 1.036642960860171859744*x; // 2*a*x + const double exp2ax = + 1 + ax2 * (1 + ax2 * (0.5 + 0.166666666666666666667*ax2)); + const double expm2ax = + 1 - ax2 * (1 - ax2 * (0.5 - 0.166666666666666666667*ax2)); + for (int n = 1; 1; ++n) { + const double coef = expa2n2[n-1] * expx2 / (a2*(n*n) + y*y); + prod2ax *= exp2ax; + prodm2ax *= expm2ax; + sum1 += coef; + sum2 += coef * prodm2ax; + sum3 += coef * prod2ax; + + // really = sum5 - sum4 + sum5 += coef * (2*a) * n * sinh_taylor((2*a)*n*x); + + // test convergence via sum3 + if (coef * prod2ax < relerr * sum3) break; + } + } + else { // x > 5e-4, compute sum4 and sum5 separately + expx2 = exp(-x*x); + const double exp2ax = exp((2*a)*x), expm2ax = 1 / exp2ax; + for (int n = 1; 1; ++n) { + const double coef = expa2n2[n-1] * expx2 / (a2*(n*n) + y*y); + prod2ax *= exp2ax; + prodm2ax *= expm2ax; + sum1 += coef; + sum2 += coef * prodm2ax; + sum4 += (coef * prodm2ax) * (a*n); + sum3 += coef * prod2ax; + sum5 += (coef * prod2ax) * (a*n); + // test convergence via sum5, since this sum has the slowest decay + if ((coef * prod2ax) * (a*n) < relerr * sum5) break; + } + } + } + else { // relerr != DBL_EPSILON, compute exp(-a2*(n*n)) on the fly + const double exp2ax = exp((2*a)*x), expm2ax = 1 / exp2ax; + if (x < 5e-4) { // compute sum4 and sum5 together as sum5-sum4 + const double x2 = x*x; + expx2 = 1 - x2 * (1 - 0.5*x2); // exp(-x*x) via Taylor + for (int n = 1; 1; ++n) { + const double coef = exp(-a2*(n*n)) * expx2 / (a2*(n*n) + y*y); + prod2ax *= exp2ax; + prodm2ax *= expm2ax; + sum1 += coef; + sum2 += coef * prodm2ax; + sum3 += coef * prod2ax; + + // really = sum5 - sum4 + sum5 += coef * (2*a) * n * sinh_taylor((2*a)*n*x); + + // test convergence via sum3 + if (coef * prod2ax < relerr * sum3) break; + } + } + else { // x > 5e-4, compute sum4 and sum5 separately + expx2 = exp(-x*x); + for (int n = 1; 1; ++n) { + const double coef = exp(-a2*(n*n)) * expx2 / (a2*(n*n) + y*y); + prod2ax *= exp2ax; + prodm2ax *= expm2ax; + sum1 += coef; + sum2 += coef * prodm2ax; + sum4 += (coef * prodm2ax) * (a*n); + sum3 += coef * prod2ax; + sum5 += (coef * prod2ax) * (a*n); + // test convergence via sum5, since this sum has the slowest decay + if ((coef * prod2ax) * (a*n) < relerr * sum5) break; + } + } + } + const double expx2erfcxy = // avoid spurious overflow for large negative y + y > -6 // for y < -6, erfcx(y) = 2*exp(y*y) to double precision + ? expx2*FADDEEVA_RE(erfcx)(y) : 2*exp(y*y-x*x); + if (y > 5) { // imaginary terms cancel + const double sinxy = sin(x*y); + ret = (expx2erfcxy - c*y*sum1) * cos(2*x*y) + + (c*x*expx2) * sinxy * sinc(x*y, sinxy); + } + else { + double xs = creal(z); + const double sinxy = sin(xs*y); + const double sin2xy = sin(2*xs*y), cos2xy = cos(2*xs*y); + const double coef1 = expx2erfcxy - c*y*sum1; + const double coef2 = c*xs*expx2; + ret = C(coef1 * cos2xy + coef2 * sinxy * sinc(xs*y, sinxy), + coef2 * sinc(2*xs*y, sin2xy) - coef1 * sin2xy); + } + } + else { // x large: only sum3 & sum5 contribute (see above note) + if (isnan(x)) + return C(x,x); + if (isnan(y)) + return C(y,y); + +#if USE_CONTINUED_FRACTION + ret = exp(-x*x); // |y| < 1e-10, so we only need exp(-x*x) term +#else + if (y < 0) { + /* erfcx(y) ~ 2*exp(y*y) + (< 1) if y < 0, so + erfcx(y)*exp(-x*x) ~ 2*exp(y*y-x*x) term may not be negligible + if y*y - x*x > -36 or so. So, compute this term just in case. + We also need the -exp(-x*x) term to compute Re[w] accurately + in the case where y is very small. */ + ret = cpolar(2*exp(y*y-x*x) - exp(-x*x), -2*creal(z)*y); + } + else + ret = exp(-x*x); // not negligible in real part if y very small +#endif + // (round instead of ceil as in original paper; note that x/a > 1 here) + double n0 = floor(x/a + 0.5); // sum in both directions, starting at n0 + double dx = a*n0 - x; + sum3 = exp(-dx*dx) / (a2*(n0*n0) + y*y); + sum5 = a*n0 * sum3; + double exp1 = exp(4*a*dx), exp1dn = 1; + int dn; + for (dn = 1; n0 - dn > 0; ++dn) { // loop over n0-dn and n0+dn terms + double np = n0 + dn, nm = n0 - dn; + double tp = exp(-sqr(a*dn+dx)); + double tm = tp * (exp1dn *= exp1); // trick to get tm from tp + tp /= (a2*(np*np) + y*y); + tm /= (a2*(nm*nm) + y*y); + sum3 += tp + tm; + sum5 += a * (np * tp + nm * tm); + if (a * (np * tp + nm * tm) < relerr * sum5) goto finish; + } + while (1) { // loop over n0+dn terms only (since n0-dn <= 0) + double np = n0 + dn++; + double tp = exp(-sqr(a*dn+dx)) / (a2*(np*np) + y*y); + sum3 += tp; + sum5 += a * np * tp; + if (a * np * tp < relerr * sum5) goto finish; + } + } + finish: + return ret + C((0.5*c)*y*(sum2+sum3), + (0.5*c)*copysign(sum5-sum4, creal(z))); +} + +///////////////////////////////////////////////////////////////////////// + +/* erfcx(x) = exp(x^2) erfc(x) function, for real x, written by + Steven G. Johnson, October 2012. + + This function combines a few different ideas. + + First, for x > 50, it uses a continued-fraction expansion (same as + for the Faddeeva function, but with algebraic simplifications for z=i*x). + + Second, for 0 <= x <= 50, it uses Chebyshev polynomial approximations, + but with two twists: + + a) It maps x to y = 4 / (4+x) in [0,1]. This simple transformation, + inspired by a similar transformation in the octave-forge/specfun + erfcx by Soren Hauberg, results in much faster Chebyshev convergence + than other simple transformations I have examined. + + b) Instead of using a single Chebyshev polynomial for the entire + [0,1] y interval, we break the interval up into 100 equal + subintervals, with a switch/lookup table, and use much lower + degree Chebyshev polynomials in each subinterval. This greatly + improves performance in my tests. + + For x < 0, we use the relationship erfcx(-x) = 2 exp(x^2) - erfc(x), + with the usual checks for overflow etcetera. + + Performance-wise, it seems to be substantially faster than either + the SLATEC DERFC function [or an erfcx function derived therefrom] + or Cody's CALERF function (from netlib.org/specfun), while + retaining near machine precision in accuracy. */ + +/* Given y100=100*y, where y = 4/(4+x) for x >= 0, compute erfc(x). + + Uses a look-up table of 100 different Chebyshev polynomials + for y intervals [0,0.01], [0.01,0.02], ...., [0.99,1], generated + with the help of Maple and a little shell script. This allows + the Chebyshev polynomials to be of significantly lower degree (about 1/4) + compared to fitting the whole [0,1] interval with a single polynomial. */ +static double erfcx_y100(double y100) +{ + switch ((int) y100) { +case 0: { +double t = 2*y100 - 1; +return 0.70878032454106438663e-3 + (0.71234091047026302958e-3 + (0.35779077297597742384e-5 + (0.17403143962587937815e-7 + (0.81710660047307788845e-10 + (0.36885022360434957634e-12 + 0.15917038551111111111e-14 * t) * t) * t) * t) * t) * t; +} +case 1: { +double t = 2*y100 - 3; +return 0.21479143208285144230e-2 + (0.72686402367379996033e-3 + (0.36843175430938995552e-5 + (0.18071841272149201685e-7 + (0.85496449296040325555e-10 + (0.38852037518534291510e-12 + 0.16868473576888888889e-14 * t) * t) * t) * t) * t) * t; +} +case 2: { +double t = 2*y100 - 5; +return 0.36165255935630175090e-2 + (0.74182092323555510862e-3 + (0.37948319957528242260e-5 + (0.18771627021793087350e-7 + (0.89484715122415089123e-10 + (0.40935858517772440862e-12 + 0.17872061464888888889e-14 * t) * t) * t) * t) * t) * t; +} +case 3: { +double t = 2*y100 - 7; +return 0.51154983860031979264e-2 + (0.75722840734791660540e-3 + (0.39096425726735703941e-5 + (0.19504168704300468210e-7 + (0.93687503063178993915e-10 + (0.43143925959079664747e-12 + 0.18939926435555555556e-14 * t) * t) * t) * t) * t) * t; +} +case 4: { +double t = 2*y100 - 9; +return 0.66457513172673049824e-2 + (0.77310406054447454920e-3 + (0.40289510589399439385e-5 + (0.20271233238288381092e-7 + (0.98117631321709100264e-10 + (0.45484207406017752971e-12 + 0.20076352213333333333e-14 * t) * t) * t) * t) * t) * t; +} +case 5: { +double t = 2*y100 - 11; +return 0.82082389970241207883e-2 + (0.78946629611881710721e-3 + (0.41529701552622656574e-5 + (0.21074693344544655714e-7 + (0.10278874108587317989e-9 + (0.47965201390613339638e-12 + 0.21285907413333333333e-14 * t) * t) * t) * t) * t) * t; +} +case 6: { +double t = 2*y100 - 13; +return 0.98039537275352193165e-2 + (0.80633440108342840956e-3 + (0.42819241329736982942e-5 + (0.21916534346907168612e-7 + (0.10771535136565470914e-9 + (0.50595972623692822410e-12 + 0.22573462684444444444e-14 * t) * t) * t) * t) * t) * t; +} +case 7: { +double t = 2*y100 - 15; +return 0.11433927298290302370e-1 + (0.82372858383196561209e-3 + (0.44160495311765438816e-5 + (0.22798861426211986056e-7 + (0.11291291745879239736e-9 + (0.53386189365816880454e-12 + 0.23944209546666666667e-14 * t) * t) * t) * t) * t) * t; +} +case 8: { +double t = 2*y100 - 17; +return 0.13099232878814653979e-1 + (0.84167002467906968214e-3 + (0.45555958988457506002e-5 + (0.23723907357214175198e-7 + (0.11839789326602695603e-9 + (0.56346163067550237877e-12 + 0.25403679644444444444e-14 * t) * t) * t) * t) * t) * t; +} +case 9: { +double t = 2*y100 - 19; +return 0.14800987015587535621e-1 + (0.86018092946345943214e-3 + (0.47008265848816866105e-5 + (0.24694040760197315333e-7 + (0.12418779768752299093e-9 + (0.59486890370320261949e-12 + 0.26957764568888888889e-14 * t) * t) * t) * t) * t) * t; +} +case 10: { +double t = 2*y100 - 21; +return 0.16540351739394069380e-1 + (0.87928458641241463952e-3 + (0.48520195793001753903e-5 + (0.25711774900881709176e-7 + (0.13030128534230822419e-9 + (0.62820097586874779402e-12 + 0.28612737351111111111e-14 * t) * t) * t) * t) * t) * t; +} +case 11: { +double t = 2*y100 - 23; +return 0.18318536789842392647e-1 + (0.89900542647891721692e-3 + (0.50094684089553365810e-5 + (0.26779777074218070482e-7 + (0.13675822186304615566e-9 + (0.66358287745352705725e-12 + 0.30375273884444444444e-14 * t) * t) * t) * t) * t) * t; +} +case 12: { +double t = 2*y100 - 25; +return 0.20136801964214276775e-1 + (0.91936908737673676012e-3 + (0.51734830914104276820e-5 + (0.27900878609710432673e-7 + (0.14357976402809042257e-9 + (0.70114790311043728387e-12 + 0.32252476000000000000e-14 * t) * t) * t) * t) * t) * t; +} +case 13: { +double t = 2*y100 - 27; +return 0.21996459598282740954e-1 + (0.94040248155366777784e-3 + (0.53443911508041164739e-5 + (0.29078085538049374673e-7 + (0.15078844500329731137e-9 + (0.74103813647499204269e-12 + 0.34251892320000000000e-14 * t) * t) * t) * t) * t) * t; +} +case 14: { +double t = 2*y100 - 29; +return 0.23898877187226319502e-1 + (0.96213386835900177540e-3 + (0.55225386998049012752e-5 + (0.30314589961047687059e-7 + (0.15840826497296335264e-9 + (0.78340500472414454395e-12 + 0.36381553564444444445e-14 * t) * t) * t) * t) * t) * t; +} +case 15: { +double t = 2*y100 - 31; +return 0.25845480155298518485e-1 + (0.98459293067820123389e-3 + (0.57082915920051843672e-5 + (0.31613782169164830118e-7 + (0.16646478745529630813e-9 + (0.82840985928785407942e-12 + 0.38649975768888888890e-14 * t) * t) * t) * t) * t) * t; +} +case 16: { +double t = 2*y100 - 33; +return 0.27837754783474696598e-1 + (0.10078108563256892757e-2 + (0.59020366493792212221e-5 + (0.32979263553246520417e-7 + (0.17498524159268458073e-9 + (0.87622459124842525110e-12 + 0.41066206488888888890e-14 * t) * t) * t) * t) * t) * t; +} +case 17: { +double t = 2*y100 - 35; +return 0.29877251304899307550e-1 + (0.10318204245057349310e-2 + (0.61041829697162055093e-5 + (0.34414860359542720579e-7 + (0.18399863072934089607e-9 + (0.92703227366365046533e-12 + 0.43639844053333333334e-14 * t) * t) * t) * t) * t) * t; +} +case 18: { +double t = 2*y100 - 37; +return 0.31965587178596443475e-1 + (0.10566560976716574401e-2 + (0.63151633192414586770e-5 + (0.35924638339521924242e-7 + (0.19353584758781174038e-9 + (0.98102783859889264382e-12 + 0.46381060817777777779e-14 * t) * t) * t) * t) * t) * t; +} +case 19: { +double t = 2*y100 - 39; +return 0.34104450552588334840e-1 + (0.10823541191350532574e-2 + (0.65354356159553934436e-5 + (0.37512918348533521149e-7 + (0.20362979635817883229e-9 + (0.10384187833037282363e-11 + 0.49300625262222222221e-14 * t) * t) * t) * t) * t) * t; +} +case 20: { +double t = 2*y100 - 41; +return 0.36295603928292425716e-1 + (0.11089526167995268200e-2 + (0.67654845095518363577e-5 + (0.39184292949913591646e-7 + (0.21431552202133775150e-9 + (0.10994259106646731797e-11 + 0.52409949102222222221e-14 * t) * t) * t) * t) * t) * t; +} +case 21: { +double t = 2*y100 - 43; +return 0.38540888038840509795e-1 + (0.11364917134175420009e-2 + (0.70058230641246312003e-5 + (0.40943644083718586939e-7 + (0.22563034723692881631e-9 + (0.11642841011361992885e-11 + 0.55721092871111111110e-14 * t) * t) * t) * t) * t) * t; +} +case 22: { +double t = 2*y100 - 45; +return 0.40842225954785960651e-1 + (0.11650136437945673891e-2 + (0.72569945502343006619e-5 + (0.42796161861855042273e-7 + (0.23761401711005024162e-9 + (0.12332431172381557035e-11 + 0.59246802364444444445e-14 * t) * t) * t) * t) * t) * t; +} +case 23: { +double t = 2*y100 - 47; +return 0.43201627431540222422e-1 + (0.11945628793917272199e-2 + (0.75195743532849206263e-5 + (0.44747364553960993492e-7 + (0.25030885216472953674e-9 + (0.13065684400300476484e-11 + 0.63000532853333333334e-14 * t) * t) * t) * t) * t) * t; +} +case 24: { +double t = 2*y100 - 49; +return 0.45621193513810471438e-1 + (0.12251862608067529503e-2 + (0.77941720055551920319e-5 + (0.46803119830954460212e-7 + (0.26375990983978426273e-9 + (0.13845421370977119765e-11 + 0.66996477404444444445e-14 * t) * t) * t) * t) * t) * t; +} +case 25: { +double t = 2*y100 - 51; +return 0.48103121413299865517e-1 + (0.12569331386432195113e-2 + (0.80814333496367673980e-5 + (0.48969667335682018324e-7 + (0.27801515481905748484e-9 + (0.14674637611609884208e-11 + 0.71249589351111111110e-14 * t) * t) * t) * t) * t) * t; +} +case 26: { +double t = 2*y100 - 53; +return 0.50649709676983338501e-1 + (0.12898555233099055810e-2 + (0.83820428414568799654e-5 + (0.51253642652551838659e-7 + (0.29312563849675507232e-9 + (0.15556512782814827846e-11 + 0.75775607822222222221e-14 * t) * t) * t) * t) * t) * t; +} +case 27: { +double t = 2*y100 - 55; +return 0.53263363664388864181e-1 + (0.13240082443256975769e-2 + (0.86967260015007658418e-5 + (0.53662102750396795566e-7 + (0.30914568786634796807e-9 + (0.16494420240828493176e-11 + 0.80591079644444444445e-14 * t) * t) * t) * t) * t) * t; +} +case 28: { +double t = 2*y100 - 57; +return 0.55946601353500013794e-1 + (0.13594491197408190706e-2 + (0.90262520233016380987e-5 + (0.56202552975056695376e-7 + (0.32613310410503135996e-9 + (0.17491936862246367398e-11 + 0.85713381688888888890e-14 * t) * t) * t) * t) * t) * t; +} +case 29: { +double t = 2*y100 - 59; +return 0.58702059496154081813e-1 + (0.13962391363223647892e-2 + (0.93714365487312784270e-5 + (0.58882975670265286526e-7 + (0.34414937110591753387e-9 + (0.18552853109751857859e-11 + 0.91160736711111111110e-14 * t) * t) * t) * t) * t) * t; +} +case 30: { +double t = 2*y100 - 61; +return 0.61532500145144778048e-1 + (0.14344426411912015247e-2 + (0.97331446201016809696e-5 + (0.61711860507347175097e-7 + (0.36325987418295300221e-9 + (0.19681183310134518232e-11 + 0.96952238400000000000e-14 * t) * t) * t) * t) * t) * t; +} +case 31: { +double t = 2*y100 - 63; +return 0.64440817576653297993e-1 + (0.14741275456383131151e-2 + (0.10112293819576437838e-4 + (0.64698236605933246196e-7 + (0.38353412915303665586e-9 + (0.20881176114385120186e-11 + 0.10310784480000000000e-13 * t) * t) * t) * t) * t) * t; +} +case 32: { +double t = 2*y100 - 65; +return 0.67430045633130393282e-1 + (0.15153655418916540370e-2 + (0.10509857606888328667e-4 + (0.67851706529363332855e-7 + (0.40504602194811140006e-9 + (0.22157325110542534469e-11 + 0.10964842115555555556e-13 * t) * t) * t) * t) * t) * t; +} +case 33: { +double t = 2*y100 - 67; +return 0.70503365513338850709e-1 + (0.15582323336495709827e-2 + (0.10926868866865231089e-4 + (0.71182482239613507542e-7 + (0.42787405890153386710e-9 + (0.23514379522274416437e-11 + 0.11659571751111111111e-13 * t) * t) * t) * t) * t) * t; +} +case 34: { +double t = 2*y100 - 69; +return 0.73664114037944596353e-1 + (0.16028078812438820413e-2 + (0.11364423678778207991e-4 + (0.74701423097423182009e-7 + (0.45210162777476488324e-9 + (0.24957355004088569134e-11 + 0.12397238257777777778e-13 * t) * t) * t) * t) * t) * t; +} +case 35: { +double t = 2*y100 - 71; +return 0.76915792420819562379e-1 + (0.16491766623447889354e-2 + (0.11823685320041302169e-4 + (0.78420075993781544386e-7 + (0.47781726956916478925e-9 + (0.26491544403815724749e-11 + 0.13180196462222222222e-13 * t) * t) * t) * t) * t) * t; +} +case 36: { +double t = 2*y100 - 73; +return 0.80262075578094612819e-1 + (0.16974279491709504117e-2 + (0.12305888517309891674e-4 + (0.82350717698979042290e-7 + (0.50511496109857113929e-9 + (0.28122528497626897696e-11 + 0.14010889635555555556e-13 * t) * t) * t) * t) * t) * t; +} +case 37: { +double t = 2*y100 - 75; +return 0.83706822008980357446e-1 + (0.17476561032212656962e-2 + (0.12812343958540763368e-4 + (0.86506399515036435592e-7 + (0.53409440823869467453e-9 + (0.29856186620887555043e-11 + 0.14891851591111111111e-13 * t) * t) * t) * t) * t) * t; +} +case 38: { +double t = 2*y100 - 77; +return 0.87254084284461718231e-1 + (0.17999608886001962327e-2 + (0.13344443080089492218e-4 + (0.90900994316429008631e-7 + (0.56486134972616465316e-9 + (0.31698707080033956934e-11 + 0.15825697795555555556e-13 * t) * t) * t) * t) * t) * t; +} +case 39: { +double t = 2*y100 - 79; +return 0.90908120182172748487e-1 + (0.18544478050657699758e-2 + (0.13903663143426120077e-4 + (0.95549246062549906177e-7 + (0.59752787125242054315e-9 + (0.33656597366099099413e-11 + 0.16815130613333333333e-13 * t) * t) * t) * t) * t) * t; +} +case 40: { +double t = 2*y100 - 81; +return 0.94673404508075481121e-1 + (0.19112284419887303347e-2 + (0.14491572616545004930e-4 + (0.10046682186333613697e-6 + (0.63221272959791000515e-9 + (0.35736693975589130818e-11 + 0.17862931591111111111e-13 * t) * t) * t) * t) * t) * t; +} +case 41: { +double t = 2*y100 - 83; +return 0.98554641648004456555e-1 + (0.19704208544725622126e-2 + (0.15109836875625443935e-4 + (0.10567036667675984067e-6 + (0.66904168640019354565e-9 + (0.37946171850824333014e-11 + 0.18971959040000000000e-13 * t) * t) * t) * t) * t) * t; +} +case 42: { +double t = 2*y100 - 85; +return 0.10255677889470089531e0 + (0.20321499629472857418e-2 + (0.15760224242962179564e-4 + (0.11117756071353507391e-6 + (0.70814785110097658502e-9 + (0.40292553276632563925e-11 + 0.20145143075555555556e-13 * t) * t) * t) * t) * t) * t; +} +case 43: { +double t = 2*y100 - 87; +return 0.10668502059865093318e0 + (0.20965479776148731610e-2 + (0.16444612377624983565e-4 + (0.11700717962026152749e-6 + (0.74967203250938418991e-9 + (0.42783716186085922176e-11 + 0.21385479360000000000e-13 * t) * t) * t) * t) * t) * t; +} +case 44: { +double t = 2*y100 - 89; +return 0.11094484319386444474e0 + (0.21637548491908170841e-2 + (0.17164995035719657111e-4 + (0.12317915750735938089e-6 + (0.79376309831499633734e-9 + (0.45427901763106353914e-11 + 0.22696025653333333333e-13 * t) * t) * t) * t) * t) * t; +} +case 45: { +double t = 2*y100 - 91; +return 0.11534201115268804714e0 + (0.22339187474546420375e-2 + (0.17923489217504226813e-4 + (0.12971465288245997681e-6 + (0.84057834180389073587e-9 + (0.48233721206418027227e-11 + 0.24079890062222222222e-13 * t) * t) * t) * t) * t) * t; +} +case 46: { +double t = 2*y100 - 93; +return 0.11988259392684094740e0 + (0.23071965691918689601e-2 + (0.18722342718958935446e-4 + (0.13663611754337957520e-6 + (0.89028385488493287005e-9 + (0.51210161569225846701e-11 + 0.25540227111111111111e-13 * t) * t) * t) * t) * t) * t; +} +case 47: { +double t = 2*y100 - 95; +return 0.12457298393509812907e0 + (0.23837544771809575380e-2 + (0.19563942105711612475e-4 + (0.14396736847739470782e-6 + (0.94305490646459247016e-9 + (0.54366590583134218096e-11 + 0.27080225920000000000e-13 * t) * t) * t) * t) * t) * t; +} +case 48: { +double t = 2*y100 - 97; +return 0.12941991566142438816e0 + (0.24637684719508859484e-2 + (0.20450821127475879816e-4 + (0.15173366280523906622e-6 + (0.99907632506389027739e-9 + (0.57712760311351625221e-11 + 0.28703099555555555556e-13 * t) * t) * t) * t) * t) * t; +} +case 49: { +double t = 2*y100 - 99; +return 0.13443048593088696613e0 + (0.25474249981080823877e-2 + (0.21385669591362915223e-4 + (0.15996177579900443030e-6 + (0.10585428844575134013e-8 + (0.61258809536787882989e-11 + 0.30412080142222222222e-13 * t) * t) * t) * t) * t) * t; +} +case 50: { +double t = 2*y100 - 101; +return 0.13961217543434561353e0 + (0.26349215871051761416e-2 + (0.22371342712572567744e-4 + (0.16868008199296822247e-6 + (0.11216596910444996246e-8 + (0.65015264753090890662e-11 + 0.32210394506666666666e-13 * t) * t) * t) * t) * t) * t; +} +case 51: { +double t = 2*y100 - 103; +return 0.14497287157673800690e0 + (0.27264675383982439814e-2 + (0.23410870961050950197e-4 + (0.17791863939526376477e-6 + (0.11886425714330958106e-8 + (0.68993039665054288034e-11 + 0.34101266222222222221e-13 * t) * t) * t) * t) * t) * t; +} +case 52: { +double t = 2*y100 - 105; +return 0.15052089272774618151e0 + (0.28222846410136238008e-2 + (0.24507470422713397006e-4 + (0.18770927679626136909e-6 + (0.12597184587583370712e-8 + (0.73203433049229821618e-11 + 0.36087889048888888890e-13 * t) * t) * t) * t) * t) * t; +} +case 53: { +double t = 2*y100 - 107; +return 0.15626501395774612325e0 + (0.29226079376196624949e-2 + (0.25664553693768450545e-4 + (0.19808568415654461964e-6 + (0.13351257759815557897e-8 + (0.77658124891046760667e-11 + 0.38173420035555555555e-13 * t) * t) * t) * t) * t) * t; +} +case 54: { +double t = 2*y100 - 109; +return 0.16221449434620737567e0 + (0.30276865332726475672e-2 + (0.26885741326534564336e-4 + (0.20908350604346384143e-6 + (0.14151148144240728728e-8 + (0.82369170665974313027e-11 + 0.40360957457777777779e-13 * t) * t) * t) * t) * t) * t; +} +case 55: { +double t = 2*y100 - 111; +return 0.16837910595412130659e0 + (0.31377844510793082301e-2 + (0.28174873844911175026e-4 + (0.22074043807045782387e-6 + (0.14999481055996090039e-8 + (0.87348993661930809254e-11 + 0.42653528977777777779e-13 * t) * t) * t) * t) * t) * t; +} +case 56: { +double t = 2*y100 - 113; +return 0.17476916455659369953e0 + (0.32531815370903068316e-2 + (0.29536024347344364074e-4 + (0.23309632627767074202e-6 + (0.15899007843582444846e-8 + (0.92610375235427359475e-11 + 0.45054073102222222221e-13 * t) * t) * t) * t) * t) * t; +} +case 57: { +double t = 2*y100 - 115; +return 0.18139556223643701364e0 + (0.33741744168096996041e-2 + (0.30973511714709500836e-4 + (0.24619326937592290996e-6 + (0.16852609412267750744e-8 + (0.98166442942854895573e-11 + 0.47565418097777777779e-13 * t) * t) * t) * t) * t) * t; +} +case 58: { +double t = 2*y100 - 117; +return 0.18826980194443664549e0 + (0.35010775057740317997e-2 + (0.32491914440014267480e-4 + (0.26007572375886319028e-6 + (0.17863299617388376116e-8 + (0.10403065638343878679e-10 + 0.50190265831111111110e-13 * t) * t) * t) * t) * t) * t; +} +case 59: { +double t = 2*y100 - 119; +return 0.19540403413693967350e0 + (0.36342240767211326315e-2 + (0.34096085096200907289e-4 + (0.27479061117017637474e-6 + (0.18934228504790032826e-8 + (0.11021679075323598664e-10 + 0.52931171733333333334e-13 * t) * t) * t) * t) * t) * t; +} +case 60: { +double t = 2*y100 - 121; +return 0.20281109560651886959e0 + (0.37739673859323597060e-2 + (0.35791165457592409054e-4 + (0.29038742889416172404e-6 + (0.20068685374849001770e-8 + (0.11673891799578381999e-10 + 0.55790523093333333334e-13 * t) * t) * t) * t) * t) * t; +} +case 61: { +double t = 2*y100 - 123; +return 0.21050455062669334978e0 + (0.39206818613925652425e-2 + (0.37582602289680101704e-4 + (0.30691836231886877385e-6 + (0.21270101645763677824e-8 + (0.12361138551062899455e-10 + 0.58770520160000000000e-13 * t) * t) * t) * t) * t) * t; +} +case 62: { +double t = 2*y100 - 125; +return 0.21849873453703332479e0 + (0.40747643554689586041e-2 + (0.39476163820986711501e-4 + (0.32443839970139918836e-6 + (0.22542053491518680200e-8 + (0.13084879235290858490e-10 + 0.61873153262222222221e-13 * t) * t) * t) * t) * t) * t; +} +case 63: { +double t = 2*y100 - 127; +return 0.22680879990043229327e0 + (0.42366354648628516935e-2 + (0.41477956909656896779e-4 + (0.34300544894502810002e-6 + (0.23888264229264067658e-8 + (0.13846596292818514601e-10 + 0.65100183751111111110e-13 * t) * t) * t) * t) * t) * t; +} +case 64: { +double t = 2*y100 - 129; +return 0.23545076536988703937e0 + (0.44067409206365170888e-2 + (0.43594444916224700881e-4 + (0.36268045617760415178e-6 + (0.25312606430853202748e-8 + (0.14647791812837903061e-10 + 0.68453122631111111110e-13 * t) * t) * t) * t) * t) * t; +} +case 65: { +double t = 2*y100 - 131; +return 0.24444156740777432838e0 + (0.45855530511605787178e-2 + (0.45832466292683085475e-4 + (0.38352752590033030472e-6 + (0.26819103733055603460e-8 + (0.15489984390884756993e-10 + 0.71933206364444444445e-13 * t) * t) * t) * t) * t) * t; +} +case 66: { +double t = 2*y100 - 133; +return 0.25379911500634264643e0 + (0.47735723208650032167e-2 + (0.48199253896534185372e-4 + (0.40561404245564732314e-6 + (0.28411932320871165585e-8 + (0.16374705736458320149e-10 + 0.75541379822222222221e-13 * t) * t) * t) * t) * t) * t; +} +case 67: { +double t = 2*y100 - 135; +return 0.26354234756393613032e0 + (0.49713289477083781266e-2 + (0.50702455036930367504e-4 + (0.42901079254268185722e-6 + (0.30095422058900481753e-8 + (0.17303497025347342498e-10 + 0.79278273368888888890e-13 * t) * t) * t) * t) * t) * t; +} +case 68: { +double t = 2*y100 - 137; +return 0.27369129607732343398e0 + (0.51793846023052643767e-2 + (0.53350152258326602629e-4 + (0.45379208848865015485e-6 + (0.31874057245814381257e-8 + (0.18277905010245111046e-10 + 0.83144182364444444445e-13 * t) * t) * t) * t) * t) * t; +} +case 69: { +double t = 2*y100 - 139; +return 0.28426714781640316172e0 + (0.53983341916695141966e-2 + (0.56150884865255810638e-4 + (0.48003589196494734238e-6 + (0.33752476967570796349e-8 + (0.19299477888083469086e-10 + 0.87139049137777777779e-13 * t) * t) * t) * t) * t) * t; +} +case 70: { +double t = 2*y100 - 141; +return 0.29529231465348519920e0 + (0.56288077305420795663e-2 + (0.59113671189913307427e-4 + (0.50782393781744840482e-6 + (0.35735475025851713168e-8 + (0.20369760937017070382e-10 + 0.91262442613333333334e-13 * t) * t) * t) * t) * t) * t; +} +case 71: { +double t = 2*y100 - 143; +return 0.30679050522528838613e0 + (0.58714723032745403331e-2 + (0.62248031602197686791e-4 + (0.53724185766200945789e-6 + (0.37827999418960232678e-8 + (0.21490291930444538307e-10 + 0.95513539182222222221e-13 * t) * t) * t) * t) * t) * t; +} +case 72: { +double t = 2*y100 - 145; +return 0.31878680111173319425e0 + (0.61270341192339103514e-2 + (0.65564012259707640976e-4 + (0.56837930287837738996e-6 + (0.40035151353392378882e-8 + (0.22662596341239294792e-10 + 0.99891109760000000000e-13 * t) * t) * t) * t) * t) * t; +} +case 73: { +double t = 2*y100 - 147; +return 0.33130773722152622027e0 + (0.63962406646798080903e-2 + (0.69072209592942396666e-4 + (0.60133006661885941812e-6 + (0.42362183765883466691e-8 + (0.23888182347073698382e-10 + 0.10439349811555555556e-12 * t) * t) * t) * t) * t) * t; +} +case 74: { +double t = 2*y100 - 149; +return 0.34438138658041336523e0 + (0.66798829540414007258e-2 + (0.72783795518603561144e-4 + (0.63619220443228800680e-6 + (0.44814499336514453364e-8 + (0.25168535651285475274e-10 + 0.10901861383111111111e-12 * t) * t) * t) * t) * t) * t; +} +case 75: { +double t = 2*y100 - 151; +return 0.35803744972380175583e0 + (0.69787978834882685031e-2 + (0.76710543371454822497e-4 + (0.67306815308917386747e-6 + (0.47397647975845228205e-8 + (0.26505114141143050509e-10 + 0.11376390933333333333e-12 * t) * t) * t) * t) * t) * t; +} +case 76: { +double t = 2*y100 - 153; +return 0.37230734890119724188e0 + (0.72938706896461381003e-2 + (0.80864854542670714092e-4 + (0.71206484718062688779e-6 + (0.50117323769745883805e-8 + (0.27899342394100074165e-10 + 0.11862637614222222222e-12 * t) * t) * t) * t) * t) * t; +} +case 77: { +double t = 2*y100 - 155; +return 0.38722432730555448223e0 + (0.76260375162549802745e-2 + (0.85259785810004603848e-4 + (0.75329383305171327677e-6 + (0.52979361368388119355e-8 + (0.29352606054164086709e-10 + 0.12360253370666666667e-12 * t) * t) * t) * t) * t) * t; +} +case 78: { +double t = 2*y100 - 157; +return 0.40282355354616940667e0 + (0.79762880915029728079e-2 + (0.89909077342438246452e-4 + (0.79687137961956194579e-6 + (0.55989731807360403195e-8 + (0.30866246101464869050e-10 + 0.12868841946666666667e-12 * t) * t) * t) * t) * t) * t; +} +case 79: { +double t = 2*y100 - 159; +return 0.41914223158913787649e0 + (0.83456685186950463538e-2 + (0.94827181359250161335e-4 + (0.84291858561783141014e-6 + (0.59154537751083485684e-8 + (0.32441553034347469291e-10 + 0.13387957943111111111e-12 * t) * t) * t) * t) * t) * t; +} +case 80: { +double t = 2*y100 - 161; +return 0.43621971639463786896e0 + (0.87352841828289495773e-2 + (0.10002929142066799966e-3 + (0.89156148280219880024e-6 + (0.62480008150788597147e-8 + (0.34079760983458878910e-10 + 0.13917107176888888889e-12 * t) * t) * t) * t) * t) * t; +} +case 81: { +double t = 2*y100 - 163; +return 0.45409763548534330981e0 + (0.91463027755548240654e-2 + (0.10553137232446167258e-3 + (0.94293113464638623798e-6 + (0.65972492312219959885e-8 + (0.35782041795476563662e-10 + 0.14455745872000000000e-12 * t) * t) * t) * t) * t) * t; +} +case 82: { +double t = 2*y100 - 165; +return 0.47282001668512331468e0 + (0.95799574408860463394e-2 + (0.11135019058000067469e-3 + (0.99716373005509038080e-6 + (0.69638453369956970347e-8 + (0.37549499088161345850e-10 + 0.15003280712888888889e-12 * t) * t) * t) * t) * t) * t; +} +case 83: { +double t = 2*y100 - 167; +return 0.49243342227179841649e0 + (0.10037550043909497071e-1 + (0.11750334542845234952e-3 + (0.10544006716188967172e-5 + (0.73484461168242224872e-8 + (0.39383162326435752965e-10 + 0.15559069118222222222e-12 * t) * t) * t) * t) * t) * t; +} +case 84: { +double t = 2*y100 - 169; +return 0.51298708979209258326e0 + (0.10520454564612427224e-1 + (0.12400930037494996655e-3 + (0.11147886579371265246e-5 + (0.77517184550568711454e-8 + (0.41283980931872622611e-10 + 0.16122419680000000000e-12 * t) * t) * t) * t) * t) * t; +} +case 85: { +double t = 2*y100 - 171; +return 0.53453307979101369843e0 + (0.11030120618800726938e-1 + (0.13088741519572269581e-3 + (0.11784797595374515432e-5 + (0.81743383063044825400e-8 + (0.43252818449517081051e-10 + 0.16692592640000000000e-12 * t) * t) * t) * t) * t) * t; +} +case 86: { +double t = 2*y100 - 173; +return 0.55712643071169299478e0 + (0.11568077107929735233e-1 + (0.13815797838036651289e-3 + (0.12456314879260904558e-5 + (0.86169898078969313597e-8 + (0.45290446811539652525e-10 + 0.17268801084444444444e-12 * t) * t) * t) * t) * t) * t; +} +case 87: { +double t = 2*y100 - 175; +return 0.58082532122519320968e0 + (0.12135935999503877077e-1 + (0.14584223996665838559e-3 + (0.13164068573095710742e-5 + (0.90803643355106020163e-8 + (0.47397540713124619155e-10 + 0.17850211608888888889e-12 * t) * t) * t) * t) * t) * t; +} +case 88: { +double t = 2*y100 - 177; +return 0.60569124025293375554e0 + (0.12735396239525550361e-1 + (0.15396244472258863344e-3 + (0.13909744385382818253e-5 + (0.95651595032306228245e-8 + (0.49574672127669041550e-10 + 0.18435945564444444444e-12 * t) * t) * t) * t) * t) * t; +} +case 89: { +double t = 2*y100 - 179; +return 0.63178916494715716894e0 + (0.13368247798287030927e-1 + (0.16254186562762076141e-3 + (0.14695084048334056083e-5 + (0.10072078109604152350e-7 + (0.51822304995680707483e-10 + 0.19025081422222222222e-12 * t) * t) * t) * t) * t) * t; +} +case 90: { +double t = 2*y100 - 181; +return 0.65918774689725319200e0 + (0.14036375850601992063e-1 + (0.17160483760259706354e-3 + (0.15521885688723188371e-5 + (0.10601827031535280590e-7 + (0.54140790105837520499e-10 + 0.19616655146666666667e-12 * t) * t) * t) * t) * t) * t; +} +case 91: { +double t = 2*y100 - 183; +return 0.68795950683174433822e0 + (0.14741765091365869084e-1 + (0.18117679143520433835e-3 + (0.16392004108230585213e-5 + (0.11155116068018043001e-7 + (0.56530360194925690374e-10 + 0.20209663662222222222e-12 * t) * t) * t) * t) * t) * t; +} +case 92: { +double t = 2*y100 - 185; +return 0.71818103808729967036e0 + (0.15486504187117112279e-1 + (0.19128428784550923217e-3 + (0.17307350969359975848e-5 + (0.11732656736113607751e-7 + (0.58991125287563833603e-10 + 0.20803065333333333333e-12 * t) * t) * t) * t) * t) * t; +} +case 93: { +double t = 2*y100 - 187; +return 0.74993321911726254661e0 + (0.16272790364044783382e-1 + (0.20195505163377912645e-3 + (0.18269894883203346953e-5 + (0.12335161021630225535e-7 + (0.61523068312169087227e-10 + 0.21395783431111111111e-12 * t) * t) * t) * t) * t) * t; +} +case 94: { +double t = 2*y100 - 189; +return 0.78330143531283492729e0 + (0.17102934132652429240e-1 + (0.21321800585063327041e-3 + (0.19281661395543913713e-5 + (0.12963340087354341574e-7 + (0.64126040998066348872e-10 + 0.21986708942222222222e-12 * t) * t) * t) * t) * t) * t; +} +case 95: { +double t = 2*y100 - 191; +return 0.81837581041023811832e0 + (0.17979364149044223802e-1 + (0.22510330592753129006e-3 + (0.20344732868018175389e-5 + (0.13617902941839949718e-7 + (0.66799760083972474642e-10 + 0.22574701262222222222e-12 * t) * t) * t) * t) * t) * t; +} +case 96: { +double t = 2*y100 - 193; +return 0.85525144775685126237e0 + (0.18904632212547561026e-1 + (0.23764237370371255638e-3 + (0.21461248251306387979e-5 + (0.14299555071870523786e-7 + (0.69543803864694171934e-10 + 0.23158593688888888889e-12 * t) * t) * t) * t) * t) * t; +} +case 97: { +double t = 2*y100 - 195; +return 0.89402868170849933734e0 + (0.19881418399127202569e-1 + (0.25086793128395995798e-3 + (0.22633402747585233180e-5 + (0.15008997042116532283e-7 + (0.72357609075043941261e-10 + 0.23737194737777777778e-12 * t) * t) * t) * t) * t) * t; +} +case 98: { +double t = 2*y100 - 197; +return 0.93481333942870796363e0 + (0.20912536329780368893e-1 + (0.26481403465998477969e-3 + (0.23863447359754921676e-5 + (0.15746923065472184451e-7 + (0.75240468141720143653e-10 + 0.24309291271111111111e-12 * t) * t) * t) * t) * t) * t; +} +case 99: { +double t = 2*y100 - 199; +return 0.97771701335885035464e0 + (0.22000938572830479551e-1 + (0.27951610702682383001e-3 + (0.25153688325245314530e-5 + (0.16514019547822821453e-7 + (0.78191526829368231251e-10 + 0.24873652355555555556e-12 * t) * t) * t) * t) * t) * t; +} + } + // we only get here if y = 1, i.e. |x| < 4*eps, in which case + // erfcx is within 1e-15 of 1.. + return 1.0; +} + +double FADDEEVA_RE(erfcx)(double x) +{ + if (x >= 0) { + if (x > 50) { // continued-fraction expansion is faster + const double ispi = 0.56418958354775628694807945156; // 1 / sqrt(pi) + if (x > 5e7) // 1-term expansion, important to avoid overflow + return ispi / x; + /* 5-term expansion (rely on compiler for CSE), simplified from: + ispi / (x+0.5/(x+1/(x+1.5/(x+2/x)))) */ + return ispi*((x*x) * (x*x+4.5) + 2) / (x * ((x*x) * (x*x+5) + 3.75)); + } + return erfcx_y100(400/(4+x)); + } + else + return x < -26.7 ? HUGE_VAL : (x < -6.1 ? 2*exp(x*x) + : 2*exp(x*x) - erfcx_y100(400/(4-x))); +} + +///////////////////////////////////////////////////////////////////////// +/* Compute a scaled Dawson integral + FADDEEVA(w_im)(x) = 2*Dawson(x)/sqrt(pi) + equivalent to the imaginary part w(x) for real x. + + Uses methods similar to the erfcx calculation above: continued fractions + for large |x|, a lookup table of Chebyshev polynomials for smaller |x|, + and finally a Taylor expansion for |x|<0.01. + + Steven G. Johnson, October 2012. */ + +/* Given y100=100*y, where y = 1/(1+x) for x >= 0, compute w_im(x). + + Uses a look-up table of 100 different Chebyshev polynomials + for y intervals [0,0.01], [0.01,0.02], ...., [0.99,1], generated + with the help of Maple and a little shell script. This allows + the Chebyshev polynomials to be of significantly lower degree (about 1/30) + compared to fitting the whole [0,1] interval with a single polynomial. */ +static double w_im_y100(double y100, double x) { + switch ((int) y100) { + case 0: { + double t = 2*y100 - 1; + return 0.28351593328822191546e-2 + (0.28494783221378400759e-2 + (0.14427470563276734183e-4 + (0.10939723080231588129e-6 + (0.92474307943275042045e-9 + (0.89128907666450075245e-11 + 0.92974121935111111110e-13 * t) * t) * t) * t) * t) * t; + } + case 1: { + double t = 2*y100 - 3; + return 0.85927161243940350562e-2 + (0.29085312941641339862e-2 + (0.15106783707725582090e-4 + (0.11716709978531327367e-6 + (0.10197387816021040024e-8 + (0.10122678863073360769e-10 + 0.10917479678400000000e-12 * t) * t) * t) * t) * t) * t; + } + case 2: { + double t = 2*y100 - 5; + return 0.14471159831187703054e-1 + (0.29703978970263836210e-2 + (0.15835096760173030976e-4 + (0.12574803383199211596e-6 + (0.11278672159518415848e-8 + (0.11547462300333495797e-10 + 0.12894535335111111111e-12 * t) * t) * t) * t) * t) * t; + } + case 3: { + double t = 2*y100 - 7; + return 0.20476320420324610618e-1 + (0.30352843012898665856e-2 + (0.16617609387003727409e-4 + (0.13525429711163116103e-6 + (0.12515095552507169013e-8 + (0.13235687543603382345e-10 + 0.15326595042666666667e-12 * t) * t) * t) * t) * t) * t; + } + case 4: { + double t = 2*y100 - 9; + return 0.26614461952489004566e-1 + (0.31034189276234947088e-2 + (0.17460268109986214274e-4 + (0.14582130824485709573e-6 + (0.13935959083809746345e-8 + (0.15249438072998932900e-10 + 0.18344741882133333333e-12 * t) * t) * t) * t) * t) * t; + } + case 5: { + double t = 2*y100 - 11; + return 0.32892330248093586215e-1 + (0.31750557067975068584e-2 + (0.18369907582308672632e-4 + (0.15761063702089457882e-6 + (0.15577638230480894382e-8 + (0.17663868462699097951e-10 + (0.22126732680711111111e-12 + 0.30273474177737853668e-14 * t) * t) * t) * t) * t) * t) * t; + } + case 6: { + double t = 2*y100 - 13; + return 0.39317207681134336024e-1 + (0.32504779701937539333e-2 + (0.19354426046513400534e-4 + (0.17081646971321290539e-6 + (0.17485733959327106250e-8 + (0.20593687304921961410e-10 + (0.26917401949155555556e-12 + 0.38562123837725712270e-14 * t) * t) * t) * t) * t) * t) * t; + } + case 7: { + double t = 2*y100 - 15; + return 0.45896976511367738235e-1 + (0.33300031273110976165e-2 + (0.20423005398039037313e-4 + (0.18567412470376467303e-6 + (0.19718038363586588213e-8 + (0.24175006536781219807e-10 + (0.33059982791466666666e-12 + 0.49756574284439426165e-14 * t) * t) * t) * t) * t) * t) * t; + } + case 8: { + double t = 2*y100 - 17; + return 0.52640192524848962855e-1 + (0.34139883358846720806e-2 + (0.21586390240603337337e-4 + (0.20247136501568904646e-6 + (0.22348696948197102935e-8 + (0.28597516301950162548e-10 + (0.41045502119111111110e-12 + 0.65151614515238361946e-14 * t) * t) * t) * t) * t) * t) * t; + } + case 9: { + double t = 2*y100 - 19; + return 0.59556171228656770456e-1 + (0.35028374386648914444e-2 + (0.22857246150998562824e-4 + (0.22156372146525190679e-6 + (0.25474171590893813583e-8 + (0.34122390890697400584e-10 + (0.51593189879111111110e-12 + 0.86775076853908006938e-14 * t) * t) * t) * t) * t) * t) * t; + } + case 10: { + double t = 2*y100 - 21; + return 0.66655089485108212551e-1 + (0.35970095381271285568e-2 + (0.24250626164318672928e-4 + (0.24339561521785040536e-6 + (0.29221990406518411415e-8 + (0.41117013527967776467e-10 + (0.65786450716444444445e-12 + 0.11791885745450623331e-13 * t) * t) * t) * t) * t) * t) * t; + } + case 11: { + double t = 2*y100 - 23; + return 0.73948106345519174661e-1 + (0.36970297216569341748e-2 + (0.25784588137312868792e-4 + (0.26853012002366752770e-6 + (0.33763958861206729592e-8 + (0.50111549981376976397e-10 + (0.85313857496888888890e-12 + 0.16417079927706899860e-13 * t) * t) * t) * t) * t) * t) * t; + } + case 12: { + double t = 2*y100 - 25; + return 0.81447508065002963203e-1 + (0.38035026606492705117e-2 + (0.27481027572231851896e-4 + (0.29769200731832331364e-6 + (0.39336816287457655076e-8 + (0.61895471132038157624e-10 + (0.11292303213511111111e-11 + 0.23558532213703884304e-13 * t) * t) * t) * t) * t) * t) * t; + } + case 13: { + double t = 2*y100 - 27; + return 0.89166884027582716628e-1 + (0.39171301322438946014e-2 + (0.29366827260422311668e-4 + (0.33183204390350724895e-6 + (0.46276006281647330524e-8 + (0.77692631378169813324e-10 + (0.15335153258844444444e-11 + 0.35183103415916026911e-13 * t) * t) * t) * t) * t) * t) * t; + } + case 14: { + double t = 2*y100 - 29; + return 0.97121342888032322019e-1 + (0.40387340353207909514e-2 + (0.31475490395950776930e-4 + (0.37222714227125135042e-6 + (0.55074373178613809996e-8 + (0.99509175283990337944e-10 + (0.21552645758222222222e-11 + 0.55728651431872687605e-13 * t) * t) * t) * t) * t) * t) * t; + } + case 15: { + double t = 2*y100 - 31; + return 0.10532778218603311137e0 + (0.41692873614065380607e-2 + (0.33849549774889456984e-4 + (0.42064596193692630143e-6 + (0.66494579697622432987e-8 + (0.13094103581931802337e-9 + (0.31896187409777777778e-11 + 0.97271974184476560742e-13 * t) * t) * t) * t) * t) * t) * t; + } + case 16: { + double t = 2*y100 - 33; + return 0.11380523107427108222e0 + (0.43099572287871821013e-2 + (0.36544324341565929930e-4 + (0.47965044028581857764e-6 + (0.81819034238463698796e-8 + (0.17934133239549647357e-9 + (0.50956666166186293627e-11 + (0.18850487318190638010e-12 + 0.79697813173519853340e-14 * t) * t) * t) * t) * t) * t) * t) * t; + } + case 17: { + double t = 2*y100 - 35; + return 0.12257529703447467345e0 + (0.44621675710026986366e-2 + (0.39634304721292440285e-4 + (0.55321553769873381819e-6 + (0.10343619428848520870e-7 + (0.26033830170470368088e-9 + (0.87743837749108025357e-11 + (0.34427092430230063401e-12 + 0.10205506615709843189e-13 * t) * t) * t) * t) * t) * t) * t) * t; + } + case 18: { + double t = 2*y100 - 37; + return 0.13166276955656699478e0 + (0.46276970481783001803e-2 + (0.43225026380496399310e-4 + (0.64799164020016902656e-6 + (0.13580082794704641782e-7 + (0.39839800853954313927e-9 + (0.14431142411840000000e-10 + 0.42193457308830027541e-12 * t) * t) * t) * t) * t) * t) * t; + } + case 19: { + double t = 2*y100 - 39; + return 0.14109647869803356475e0 + (0.48088424418545347758e-2 + (0.47474504753352150205e-4 + (0.77509866468724360352e-6 + (0.18536851570794291724e-7 + (0.60146623257887570439e-9 + (0.18533978397305276318e-10 + (0.41033845938901048380e-13 - 0.46160680279304825485e-13 * t) * t) * t) * t) * t) * t) * t) * t; + } + case 20: { + double t = 2*y100 - 41; + return 0.15091057940548936603e0 + (0.50086864672004685703e-2 + (0.52622482832192230762e-4 + (0.95034664722040355212e-6 + (0.25614261331144718769e-7 + (0.80183196716888606252e-9 + (0.12282524750534352272e-10 + (-0.10531774117332273617e-11 - 0.86157181395039646412e-13 * t) * t) * t) * t) * t) * t) * t) * t; + } + case 21: { + double t = 2*y100 - 43; + return 0.16114648116017010770e0 + (0.52314661581655369795e-2 + (0.59005534545908331315e-4 + (0.11885518333915387760e-5 + (0.33975801443239949256e-7 + (0.82111547144080388610e-9 + (-0.12357674017312854138e-10 + (-0.24355112256914479176e-11 - 0.75155506863572930844e-13 * t) * t) * t) * t) * t) * t) * t) * t; + } + case 22: { + double t = 2*y100 - 45; + return 0.17185551279680451144e0 + (0.54829002967599420860e-2 + (0.67013226658738082118e-4 + (0.14897400671425088807e-5 + (0.40690283917126153701e-7 + (0.44060872913473778318e-9 + (-0.52641873433280000000e-10 - 0.30940587864543343124e-11 * t) * t) * t) * t) * t) * t) * t; + } + case 23: { + double t = 2*y100 - 47; + return 0.18310194559815257381e0 + (0.57701559375966953174e-2 + (0.76948789401735193483e-4 + (0.18227569842290822512e-5 + (0.41092208344387212276e-7 + (-0.44009499965694442143e-9 + (-0.92195414685628803451e-10 + (-0.22657389705721753299e-11 + 0.10004784908106839254e-12 * t) * t) * t) * t) * t) * t) * t) * t; + } + case 24: { + double t = 2*y100 - 49; + return 0.19496527191546630345e0 + (0.61010853144364724856e-2 + (0.88812881056342004864e-4 + (0.21180686746360261031e-5 + (0.30652145555130049203e-7 + (-0.16841328574105890409e-8 + (-0.11008129460612823934e-9 + (-0.12180794204544515779e-12 + 0.15703325634590334097e-12 * t) * t) * t) * t) * t) * t) * t) * t; + } + case 25: { + double t = 2*y100 - 51; + return 0.20754006813966575720e0 + (0.64825787724922073908e-2 + (0.10209599627522311893e-3 + (0.22785233392557600468e-5 + (0.73495224449907568402e-8 + (-0.29442705974150112783e-8 + (-0.94082603434315016546e-10 + (0.23609990400179321267e-11 + 0.14141908654269023788e-12 * t) * t) * t) * t) * t) * t) * t) * t; + } + case 26: { + double t = 2*y100 - 53; + return 0.22093185554845172146e0 + (0.69182878150187964499e-2 + (0.11568723331156335712e-3 + (0.22060577946323627739e-5 + (-0.26929730679360840096e-7 + (-0.38176506152362058013e-8 + (-0.47399503861054459243e-10 + (0.40953700187172127264e-11 + 0.69157730376118511127e-13 * t) * t) * t) * t) * t) * t) * t) * t; + } + case 27: { + double t = 2*y100 - 55; + return 0.23524827304057813918e0 + (0.74063350762008734520e-2 + (0.12796333874615790348e-3 + (0.18327267316171054273e-5 + (-0.66742910737957100098e-7 + (-0.40204740975496797870e-8 + (0.14515984139495745330e-10 + (0.44921608954536047975e-11 - 0.18583341338983776219e-13 * t) * t) * t) * t) * t) * t) * t) * t; + } + case 28: { + double t = 2*y100 - 57; + return 0.25058626331812744775e0 + (0.79377285151602061328e-2 + (0.13704268650417478346e-3 + (0.11427511739544695861e-5 + (-0.10485442447768377485e-6 + (-0.34850364756499369763e-8 + (0.72656453829502179208e-10 + (0.36195460197779299406e-11 - 0.84882136022200714710e-13 * t) * t) * t) * t) * t) * t) * t) * t; + } + case 29: { + double t = 2*y100 - 59; + return 0.26701724900280689785e0 + (0.84959936119625864274e-2 + (0.14112359443938883232e-3 + (0.17800427288596909634e-6 + (-0.13443492107643109071e-6 + (-0.23512456315677680293e-8 + (0.11245846264695936769e-9 + (0.19850501334649565404e-11 - 0.11284666134635050832e-12 * t) * t) * t) * t) * t) * t) * t) * t; + } + case 30: { + double t = 2*y100 - 61; + return 0.28457293586253654144e0 + (0.90581563892650431899e-2 + (0.13880520331140646738e-3 + (-0.97262302362522896157e-6 + (-0.15077100040254187366e-6 + (-0.88574317464577116689e-9 + (0.12760311125637474581e-9 + (0.20155151018282695055e-12 - 0.10514169375181734921e-12 * t) * t) * t) * t) * t) * t) * t) * t; + } + case 31: { + double t = 2*y100 - 63; + return 0.30323425595617385705e0 + (0.95968346790597422934e-2 + (0.12931067776725883939e-3 + (-0.21938741702795543986e-5 + (-0.15202888584907373963e-6 + (0.61788350541116331411e-9 + (0.11957835742791248256e-9 + (-0.12598179834007710908e-11 - 0.75151817129574614194e-13 * t) * t) * t) * t) * t) * t) * t) * t; + } + case 32: { + double t = 2*y100 - 65; + return 0.32292521181517384379e0 + (0.10082957727001199408e-1 + (0.11257589426154962226e-3 + (-0.33670890319327881129e-5 + (-0.13910529040004008158e-6 + (0.19170714373047512945e-8 + (0.94840222377720494290e-10 + (-0.21650018351795353201e-11 - 0.37875211678024922689e-13 * t) * t) * t) * t) * t) * t) * t) * t; + } + case 33: { + double t = 2*y100 - 67; + return 0.34351233557911753862e0 + (0.10488575435572745309e-1 + (0.89209444197248726614e-4 + (-0.43893459576483345364e-5 + (-0.11488595830450424419e-6 + (0.28599494117122464806e-8 + (0.61537542799857777779e-10 - 0.24935749227658002212e-11 * t) * t) * t) * t) * t) * t) * t; + } + case 34: { + double t = 2*y100 - 69; + return 0.36480946642143669093e0 + (0.10789304203431861366e-1 + (0.60357993745283076834e-4 + (-0.51855862174130669389e-5 + (-0.83291664087289801313e-7 + (0.33898011178582671546e-8 + (0.27082948188277716482e-10 + (-0.23603379397408694974e-11 + 0.19328087692252869842e-13 * t) * t) * t) * t) * t) * t) * t) * t; + } + case 35: { + double t = 2*y100 - 71; + return 0.38658679935694939199e0 + (0.10966119158288804999e-1 + (0.27521612041849561426e-4 + (-0.57132774537670953638e-5 + (-0.48404772799207914899e-7 + (0.35268354132474570493e-8 + (-0.32383477652514618094e-11 + (-0.19334202915190442501e-11 + 0.32333189861286460270e-13 * t) * t) * t) * t) * t) * t) * t) * t; + } + case 36: { + double t = 2*y100 - 73; + return 0.40858275583808707870e0 + (0.11006378016848466550e-1 + (-0.76396376685213286033e-5 + (-0.59609835484245791439e-5 + (-0.13834610033859313213e-7 + (0.33406952974861448790e-8 + (-0.26474915974296612559e-10 + (-0.13750229270354351983e-11 + 0.36169366979417390637e-13 * t) * t) * t) * t) * t) * t) * t) * t; + } + case 37: { + double t = 2*y100 - 75; + return 0.43051714914006682977e0 + (0.10904106549500816155e-1 + (-0.43477527256787216909e-4 + (-0.59429739547798343948e-5 + (0.17639200194091885949e-7 + (0.29235991689639918688e-8 + (-0.41718791216277812879e-10 + (-0.81023337739508049606e-12 + 0.33618915934461994428e-13 * t) * t) * t) * t) * t) * t) * t) * t; + } + case 38: { + double t = 2*y100 - 77; + return 0.45210428135559607406e0 + (0.10659670756384400554e-1 + (-0.78488639913256978087e-4 + (-0.56919860886214735936e-5 + (0.44181850467477733407e-7 + (0.23694306174312688151e-8 + (-0.49492621596685443247e-10 + (-0.31827275712126287222e-12 + 0.27494438742721623654e-13 * t) * t) * t) * t) * t) * t) * t) * t; + } + case 39: { + double t = 2*y100 - 79; + return 0.47306491195005224077e0 + (0.10279006119745977570e-1 + (-0.11140268171830478306e-3 + (-0.52518035247451432069e-5 + (0.64846898158889479518e-7 + (0.17603624837787337662e-8 + (-0.51129481592926104316e-10 + (0.62674584974141049511e-13 + 0.20055478560829935356e-13 * t) * t) * t) * t) * t) * t) * t) * t; + } + case 40: { + double t = 2*y100 - 81; + return 0.49313638965719857647e0 + (0.97725799114772017662e-2 + (-0.14122854267291533334e-3 + (-0.46707252568834951907e-5 + (0.79421347979319449524e-7 + (0.11603027184324708643e-8 + (-0.48269605844397175946e-10 + (0.32477251431748571219e-12 + 0.12831052634143527985e-13 * t) * t) * t) * t) * t) * t) * t) * t; + } + case 41: { + double t = 2*y100 - 83; + return 0.51208057433416004042e0 + (0.91542422354009224951e-2 + (-0.16726530230228647275e-3 + (-0.39964621752527649409e-5 + (0.88232252903213171454e-7 + (0.61343113364949928501e-9 + (-0.42516755603130443051e-10 + (0.47910437172240209262e-12 + 0.66784341874437478953e-14 * t) * t) * t) * t) * t) * t) * t) * t; + } + case 42: { + double t = 2*y100 - 85; + return 0.52968945458607484524e0 + (0.84400880445116786088e-2 + (-0.18908729783854258774e-3 + (-0.32725905467782951931e-5 + (0.91956190588652090659e-7 + (0.14593989152420122909e-9 + (-0.35239490687644444445e-10 + 0.54613829888448694898e-12 * t) * t) * t) * t) * t) * t) * t; + } + case 43: { + double t = 2*y100 - 87; + return 0.54578857454330070965e0 + (0.76474155195880295311e-2 + (-0.20651230590808213884e-3 + (-0.25364339140543131706e-5 + (0.91455367999510681979e-7 + (-0.23061359005297528898e-9 + (-0.27512928625244444444e-10 + 0.54895806008493285579e-12 * t) * t) * t) * t) * t) * t) * t; + } + case 44: { + double t = 2*y100 - 89; + return 0.56023851910298493910e0 + (0.67938321739997196804e-2 + (-0.21956066613331411760e-3 + (-0.18181127670443266395e-5 + (0.87650335075416845987e-7 + (-0.51548062050366615977e-9 + (-0.20068462174044444444e-10 + 0.50912654909758187264e-12 * t) * t) * t) * t) * t) * t) * t; + } + case 45: { + double t = 2*y100 - 91; + return 0.57293478057455721150e0 + (0.58965321010394044087e-2 + (-0.22841145229276575597e-3 + (-0.11404605562013443659e-5 + (0.81430290992322326296e-7 + (-0.71512447242755357629e-9 + (-0.13372664928000000000e-10 + 0.44461498336689298148e-12 * t) * t) * t) * t) * t) * t) * t; + } + case 46: { + double t = 2*y100 - 93; + return 0.58380635448407827360e0 + (0.49717469530842831182e-2 + (-0.23336001540009645365e-3 + (-0.51952064448608850822e-6 + (0.73596577815411080511e-7 + (-0.84020916763091566035e-9 + (-0.76700972702222222221e-11 + 0.36914462807972467044e-12 * t) * t) * t) * t) * t) * t) * t; + } + case 47: { + double t = 2*y100 - 95; + return 0.59281340237769489597e0 + (0.40343592069379730568e-2 + (-0.23477963738658326185e-3 + (0.34615944987790224234e-7 + (0.64832803248395814574e-7 + (-0.90329163587627007971e-9 + (-0.30421940400000000000e-11 + 0.29237386653743536669e-12 * t) * t) * t) * t) * t) * t) * t; + } + case 48: { + double t = 2*y100 - 97; + return 0.59994428743114271918e0 + (0.30976579788271744329e-2 + (-0.23308875765700082835e-3 + (0.51681681023846925160e-6 + (0.55694594264948268169e-7 + (-0.91719117313243464652e-9 + (0.53982743680000000000e-12 + 0.22050829296187771142e-12 * t) * t) * t) * t) * t) * t) * t; + } + case 49: { + double t = 2*y100 - 99; + return 0.60521224471819875444e0 + (0.21732138012345456060e-2 + (-0.22872428969625997456e-3 + (0.92588959922653404233e-6 + (0.46612665806531930684e-7 + (-0.89393722514414153351e-9 + (0.31718550353777777778e-11 + 0.15705458816080549117e-12 * t) * t) * t) * t) * t) * t) * t; + } + case 50: { + double t = 2*y100 - 101; + return 0.60865189969791123620e0 + (0.12708480848877451719e-2 + (-0.22212090111534847166e-3 + (0.12636236031532793467e-5 + (0.37904037100232937574e-7 + (-0.84417089968101223519e-9 + (0.49843180828444444445e-11 + 0.10355439441049048273e-12 * t) * t) * t) * t) * t) * t) * t; + } + case 51: { + double t = 2*y100 - 103; + return 0.61031580103499200191e0 + (0.39867436055861038223e-3 + (-0.21369573439579869291e-3 + (0.15339402129026183670e-5 + (0.29787479206646594442e-7 + (-0.77687792914228632974e-9 + (0.61192452741333333334e-11 + 0.60216691829459295780e-13 * t) * t) * t) * t) * t) * t) * t; + } + case 52: { + double t = 2*y100 - 105; + return 0.61027109047879835868e0 + (-0.43680904508059878254e-3 + (-0.20383783788303894442e-3 + (0.17421743090883439959e-5 + (0.22400425572175715576e-7 + (-0.69934719320045128997e-9 + (0.67152759655111111110e-11 + 0.26419960042578359995e-13 * t) * t) * t) * t) * t) * t) * t; + } + case 53: { + double t = 2*y100 - 107; + return 0.60859639489217430521e0 + (-0.12305921390962936873e-2 + (-0.19290150253894682629e-3 + (0.18944904654478310128e-5 + (0.15815530398618149110e-7 + (-0.61726850580964876070e-9 + 0.68987888999111111110e-11 * t) * t) * t) * t) * t) * t; + } + case 54: { + double t = 2*y100 - 109; + return 0.60537899426486075181e0 + (-0.19790062241395705751e-2 + (-0.18120271393047062253e-3 + (0.19974264162313241405e-5 + (0.10055795094298172492e-7 + (-0.53491997919318263593e-9 + (0.67794550295111111110e-11 - 0.17059208095741511603e-13 * t) * t) * t) * t) * t) * t) * t; + } + case 55: { + double t = 2*y100 - 111; + return 0.60071229457904110537e0 + (-0.26795676776166354354e-2 + (-0.16901799553627508781e-3 + (0.20575498324332621581e-5 + (0.51077165074461745053e-8 + (-0.45536079828057221858e-9 + (0.64488005516444444445e-11 - 0.29311677573152766338e-13 * t) * t) * t) * t) * t) * t) * t; + } + case 56: { + double t = 2*y100 - 113; + return 0.59469361520112714738e0 + (-0.33308208190600993470e-2 + (-0.15658501295912405679e-3 + (0.20812116912895417272e-5 + (0.93227468760614182021e-9 + (-0.38066673740116080415e-9 + (0.59806790359111111110e-11 - 0.36887077278950440597e-13 * t) * t) * t) * t) * t) * t) * t; + } + case 57: { + double t = 2*y100 - 115; + return 0.58742228631775388268e0 + (-0.39321858196059227251e-2 + (-0.14410441141450122535e-3 + (0.20743790018404020716e-5 + (-0.25261903811221913762e-8 + (-0.31212416519526924318e-9 + (0.54328422462222222221e-11 - 0.40864152484979815972e-13 * t) * t) * t) * t) * t) * t) * t; + } + case 58: { + double t = 2*y100 - 117; + return 0.57899804200033018447e0 + (-0.44838157005618913447e-2 + (-0.13174245966501437965e-3 + (0.20425306888294362674e-5 + (-0.53330296023875447782e-8 + (-0.25041289435539821014e-9 + (0.48490437205333333334e-11 - 0.42162206939169045177e-13 * t) * t) * t) * t) * t) * t) * t; + } + case 59: { + double t = 2*y100 - 119; + return 0.56951968796931245974e0 + (-0.49864649488074868952e-2 + (-0.11963416583477567125e-3 + (0.19906021780991036425e-5 + (-0.75580140299436494248e-8 + (-0.19576060961919820491e-9 + (0.42613011928888888890e-11 - 0.41539443304115604377e-13 * t) * t) * t) * t) * t) * t) * t; + } + case 60: { + double t = 2*y100 - 121; + return 0.55908401930063918964e0 + (-0.54413711036826877753e-2 + (-0.10788661102511914628e-3 + (0.19229663322982839331e-5 + (-0.92714731195118129616e-8 + (-0.14807038677197394186e-9 + (0.36920870298666666666e-11 - 0.39603726688419162617e-13 * t) * t) * t) * t) * t) * t) * t; + } + case 61: { + double t = 2*y100 - 123; + return 0.54778496152925675315e0 + (-0.58501497933213396670e-2 + (-0.96582314317855227421e-4 + (0.18434405235069270228e-5 + (-0.10541580254317078711e-7 + (-0.10702303407788943498e-9 + (0.31563175582222222222e-11 - 0.36829748079110481422e-13 * t) * t) * t) * t) * t) * t) * t; + } + case 62: { + double t = 2*y100 - 125; + return 0.53571290831682823999e0 + (-0.62147030670760791791e-2 + (-0.85782497917111760790e-4 + (0.17553116363443470478e-5 + (-0.11432547349815541084e-7 + (-0.72157091369041330520e-10 + (0.26630811607111111111e-11 - 0.33578660425893164084e-13 * t) * t) * t) * t) * t) * t) * t; + } + case 63: { + double t = 2*y100 - 127; + return 0.52295422962048434978e0 + (-0.65371404367776320720e-2 + (-0.75530164941473343780e-4 + (0.16613725797181276790e-5 + (-0.12003521296598910761e-7 + (-0.42929753689181106171e-10 + (0.22170894940444444444e-11 - 0.30117697501065110505e-13 * t) * t) * t) * t) * t) * t) * t; + } + case 64: { + double t = 2*y100 - 129; + return 0.50959092577577886140e0 + (-0.68197117603118591766e-2 + (-0.65852936198953623307e-4 + (0.15639654113906716939e-5 + (-0.12308007991056524902e-7 + (-0.18761997536910939570e-10 + (0.18198628922666666667e-11 - 0.26638355362285200932e-13 * t) * t) * t) * t) * t) * t) * t; + } + case 65: { + double t = 2*y100 - 131; + return 0.49570040481823167970e0 + (-0.70647509397614398066e-2 + (-0.56765617728962588218e-4 + (0.14650274449141448497e-5 + (-0.12393681471984051132e-7 + (0.92904351801168955424e-12 + (0.14706755960177777778e-11 - 0.23272455351266325318e-13 * t) * t) * t) * t) * t) * t) * t; + } + case 66: { + double t = 2*y100 - 133; + return 0.48135536250935238066e0 + (-0.72746293327402359783e-2 + (-0.48272489495730030780e-4 + (0.13661377309113939689e-5 + (-0.12302464447599382189e-7 + (0.16707760028737074907e-10 + (0.11672928324444444444e-11 - 0.20105801424709924499e-13 * t) * t) * t) * t) * t) * t) * t; + } + case 67: { + double t = 2*y100 - 135; + return 0.46662374675511439448e0 + (-0.74517177649528487002e-2 + (-0.40369318744279128718e-4 + (0.12685621118898535407e-5 + (-0.12070791463315156250e-7 + (0.29105507892605823871e-10 + (0.90653314645333333334e-12 - 0.17189503312102982646e-13 * t) * t) * t) * t) * t) * t) * t; + } + case 68: { + double t = 2*y100 - 137; + return 0.45156879030168268778e0 + (-0.75983560650033817497e-2 + (-0.33045110380705139759e-4 + (0.11732956732035040896e-5 + (-0.11729986947158201869e-7 + (0.38611905704166441308e-10 + (0.68468768305777777779e-12 - 0.14549134330396754575e-13 * t) * t) * t) * t) * t) * t) * t; + } + case 69: { + double t = 2*y100 - 139; + return 0.43624909769330896904e0 + (-0.77168291040309554679e-2 + (-0.26283612321339907756e-4 + (0.10811018836893550820e-5 + (-0.11306707563739851552e-7 + (0.45670446788529607380e-10 + (0.49782492549333333334e-12 - 0.12191983967561779442e-13 * t) * t) * t) * t) * t) * t) * t; + } + case 70: { + double t = 2*y100 - 141; + return 0.42071877443548481181e0 + (-0.78093484015052730097e-2 + (-0.20064596897224934705e-4 + (0.99254806680671890766e-6 + (-0.10823412088884741451e-7 + (0.50677203326904716247e-10 + (0.34200547594666666666e-12 - 0.10112698698356194618e-13 * t) * t) * t) * t) * t) * t) * t; + } + case 71: { + double t = 2*y100 - 143; + return 0.40502758809710844280e0 + (-0.78780384460872937555e-2 + (-0.14364940764532853112e-4 + (0.90803709228265217384e-6 + (-0.10298832847014466907e-7 + (0.53981671221969478551e-10 + (0.21342751381333333333e-12 - 0.82975901848387729274e-14 * t) * t) * t) * t) * t) * t) * t; + } + case 72: { + double t = 2*y100 - 145; + return 0.38922115269731446690e0 + (-0.79249269708242064120e-2 + (-0.91595258799106970453e-5 + (0.82783535102217576495e-6 + (-0.97484311059617744437e-8 + (0.55889029041660225629e-10 + (0.10851981336888888889e-12 - 0.67278553237853459757e-14 * t) * t) * t) * t) * t) * t) * t; + } + case 73: { + double t = 2*y100 - 147; + return 0.37334112915460307335e0 + (-0.79519385109223148791e-2 + (-0.44219833548840469752e-5 + (0.75209719038240314732e-6 + (-0.91848251458553190451e-8 + (0.56663266668051433844e-10 + (0.23995894257777777778e-13 - 0.53819475285389344313e-14 * t) * t) * t) * t) * t) * t) * t; + } + case 74: { + double t = 2*y100 - 149; + return 0.35742543583374223085e0 + (-0.79608906571527956177e-2 + (-0.12530071050975781198e-6 + (0.68088605744900552505e-6 + (-0.86181844090844164075e-8 + (0.56530784203816176153e-10 + (-0.43120012248888888890e-13 - 0.42372603392496813810e-14 * t) * t) * t) * t) * t) * t) * t; + } + case 75: { + double t = 2*y100 - 151; + return 0.34150846431979618536e0 + (-0.79534924968773806029e-2 + (0.37576885610891515813e-5 + (0.61419263633090524326e-6 + (-0.80565865409945960125e-8 + (0.55684175248749269411e-10 + (-0.95486860764444444445e-13 - 0.32712946432984510595e-14 * t) * t) * t) * t) * t) * t) * t; + } + case 76: { + double t = 2*y100 - 153; + return 0.32562129649136346824e0 + (-0.79313448067948884309e-2 + (0.72539159933545300034e-5 + (0.55195028297415503083e-6 + (-0.75063365335570475258e-8 + (0.54281686749699595941e-10 - 0.13545424295111111111e-12 * t) * t) * t) * t) * t) * t; + } + case 77: { + double t = 2*y100 - 155; + return 0.30979191977078391864e0 + (-0.78959416264207333695e-2 + (0.10389774377677210794e-4 + (0.49404804463196316464e-6 + (-0.69722488229411164685e-8 + (0.52469254655951393842e-10 - 0.16507860650666666667e-12 * t) * t) * t) * t) * t) * t; + } + case 78: { + double t = 2*y100 - 157; + return 0.29404543811214459904e0 + (-0.78486728990364155356e-2 + (0.13190885683106990459e-4 + (0.44034158861387909694e-6 + (-0.64578942561562616481e-8 + (0.50354306498006928984e-10 - 0.18614473550222222222e-12 * t) * t) * t) * t) * t) * t; + } + case 79: { + double t = 2*y100 - 159; + return 0.27840427686253660515e0 + (-0.77908279176252742013e-2 + (0.15681928798708548349e-4 + (0.39066226205099807573e-6 + (-0.59658144820660420814e-8 + (0.48030086420373141763e-10 - 0.20018995173333333333e-12 * t) * t) * t) * t) * t) * t; + } + case 80: { + double t = 2*y100 - 161; + return 0.26288838011163800908e0 + (-0.77235993576119469018e-2 + (0.17886516796198660969e-4 + (0.34482457073472497720e-6 + (-0.54977066551955420066e-8 + (0.45572749379147269213e-10 - 0.20852924954666666667e-12 * t) * t) * t) * t) * t) * t; + } + case 81: { + double t = 2*y100 - 163; + return 0.24751539954181029717e0 + (-0.76480877165290370975e-2 + (0.19827114835033977049e-4 + (0.30263228619976332110e-6 + (-0.50545814570120129947e-8 + (0.43043879374212005966e-10 - 0.21228012028444444444e-12 * t) * t) * t) * t) * t) * t; + } + case 82: { + double t = 2*y100 - 165; + return 0.23230087411688914593e0 + (-0.75653060136384041587e-2 + (0.21524991113020016415e-4 + (0.26388338542539382413e-6 + (-0.46368974069671446622e-8 + (0.40492715758206515307e-10 - 0.21238627815111111111e-12 * t) * t) * t) * t) * t) * t; + } + case 83: { + double t = 2*y100 - 167; + return 0.21725840021297341931e0 + (-0.74761846305979730439e-2 + (0.23000194404129495243e-4 + (0.22837400135642906796e-6 + (-0.42446743058417541277e-8 + (0.37958104071765923728e-10 - 0.20963978568888888889e-12 * t) * t) * t) * t) * t) * t; + } + case 84: { + double t = 2*y100 - 169; + return 0.20239979200788191491e0 + (-0.73815761980493466516e-2 + (0.24271552727631854013e-4 + (0.19590154043390012843e-6 + (-0.38775884642456551753e-8 + (0.35470192372162901168e-10 - 0.20470131678222222222e-12 * t) * t) * t) * t) * t) * t; + } + case 85: { + double t = 2*y100 - 171; + return 0.18773523211558098962e0 + (-0.72822604530339834448e-2 + (0.25356688567841293697e-4 + (0.16626710297744290016e-6 + (-0.35350521468015310830e-8 + (0.33051896213898864306e-10 - 0.19811844544000000000e-12 * t) * t) * t) * t) * t) * t; + } + case 86: { + double t = 2*y100 - 173; + return 0.17327341258479649442e0 + (-0.71789490089142761950e-2 + (0.26272046822383820476e-4 + (0.13927732375657362345e-6 + (-0.32162794266956859603e-8 + (0.30720156036105652035e-10 - 0.19034196304000000000e-12 * t) * t) * t) * t) * t) * t; + } + case 87: { + double t = 2*y100 - 175; + return 0.15902166648328672043e0 + (-0.70722899934245504034e-2 + (0.27032932310132226025e-4 + (0.11474573347816568279e-6 + (-0.29203404091754665063e-8 + (0.28487010262547971859e-10 - 0.18174029063111111111e-12 * t) * t) * t) * t) * t) * t; + } + case 88: { + double t = 2*y100 - 177; + return 0.14498609036610283865e0 + (-0.69628725220045029273e-2 + (0.27653554229160596221e-4 + (0.92493727167393036470e-7 + (-0.26462055548683583849e-8 + (0.26360506250989943739e-10 - 0.17261211260444444444e-12 * t) * t) * t) * t) * t) * t; + } + case 89: { + double t = 2*y100 - 179; + return 0.13117165798208050667e0 + (-0.68512309830281084723e-2 + (0.28147075431133863774e-4 + (0.72351212437979583441e-7 + (-0.23927816200314358570e-8 + (0.24345469651209833155e-10 - 0.16319736960000000000e-12 * t) * t) * t) * t) * t) * t; + } + case 90: { + double t = 2*y100 - 181; + return 0.11758232561160626306e0 + (-0.67378491192463392927e-2 + (0.28525664781722907847e-4 + (0.54156999310046790024e-7 + (-0.21589405340123827823e-8 + (0.22444150951727334619e-10 - 0.15368675584000000000e-12 * t) * t) * t) * t) * t) * t; + } + case 91: { + double t = 2*y100 - 183; + return 0.10422112945361673560e0 + (-0.66231638959845581564e-2 + (0.28800551216363918088e-4 + (0.37758983397952149613e-7 + (-0.19435423557038933431e-8 + (0.20656766125421362458e-10 - 0.14422990012444444444e-12 * t) * t) * t) * t) * t) * t; + } + case 92: { + double t = 2*y100 - 185; + return 0.91090275493541084785e-1 + (-0.65075691516115160062e-2 + (0.28982078385527224867e-4 + (0.23014165807643012781e-7 + (-0.17454532910249875958e-8 + (0.18981946442680092373e-10 - 0.13494234691555555556e-12 * t) * t) * t) * t) * t) * t; + } + case 93: { + double t = 2*y100 - 187; + return 0.78191222288771379358e-1 + (-0.63914190297303976434e-2 + (0.29079759021299682675e-4 + (0.97885458059415717014e-8 + (-0.15635596116134296819e-8 + (0.17417110744051331974e-10 - 0.12591151763555555556e-12 * t) * t) * t) * t) * t) * t; + } + case 94: { + double t = 2*y100 - 189; + return 0.65524757106147402224e-1 + (-0.62750311956082444159e-2 + (0.29102328354323449795e-4 + (-0.20430838882727954582e-8 + (-0.13967781903855367270e-8 + (0.15958771833747057569e-10 - 0.11720175765333333333e-12 * t) * t) * t) * t) * t) * t; + } + case 95: { + double t = 2*y100 - 191; + return 0.53091065838453612773e-1 + (-0.61586898417077043662e-2 + (0.29057796072960100710e-4 + (-0.12597414620517987536e-7 + (-0.12440642607426861943e-8 + (0.14602787128447932137e-10 - 0.10885859114666666667e-12 * t) * t) * t) * t) * t) * t; + } + case 96: { + double t = 2*y100 - 193; + return 0.40889797115352738582e-1 + (-0.60426484889413678200e-2 + (0.28953496450191694606e-4 + (-0.21982952021823718400e-7 + (-0.11044169117553026211e-8 + (0.13344562332430552171e-10 - 0.10091231402844444444e-12 * t) * t) * t) * t) * t) * t; + } + case 97: case 98: + case 99: case 100: { // use Taylor expansion for small x (|x| <= 0.0309...) + // (2/sqrt(pi)) * (x - 2/3 x^3 + 4/15 x^5 - 8/105 x^7 + 16/945 x^9) + double x2 = x*x; + return x * (1.1283791670955125739 + - x2 * (0.75225277806367504925 + - x2 * (0.30090111122547001970 + - x2 * (0.085971746064420005629 + - x2 * 0.016931216931216931217)))); + } + } + /* Since 0 <= y100 < 101, this is only reached if x is NaN, + in which case we should return NaN. */ + return NaN; +} + +double FADDEEVA(w_im)(double x) +{ + if (x >= 0) { + if (x > 45) { // continued-fraction expansion is faster + const double ispi = 0.56418958354775628694807945156; // 1 / sqrt(pi) + if (x > 5e7) // 1-term expansion, important to avoid overflow + return ispi / x; + /* 5-term expansion (rely on compiler for CSE), simplified from: + ispi / (x-0.5/(x-1/(x-1.5/(x-2/x)))) */ + return ispi*((x*x) * (x*x-4.5) + 2) / (x * ((x*x) * (x*x-5) + 3.75)); + } + return w_im_y100(100/(1+x), x); + } + else { // = -FADDEEVA(w_im)(-x) + if (x < -45) { // continued-fraction expansion is faster + const double ispi = 0.56418958354775628694807945156; // 1 / sqrt(pi) + if (x < -5e7) // 1-term expansion, important to avoid overflow + return ispi / x; + /* 5-term expansion (rely on compiler for CSE), simplified from: + ispi / (x-0.5/(x-1/(x-1.5/(x-2/x)))) */ + return ispi*((x*x) * (x*x-4.5) + 2) / (x * ((x*x) * (x*x-5) + 3.75)); + } + return -w_im_y100(100/(1-x), -x); + } +} + +///////////////////////////////////////////////////////////////////////// + +// Compile with -DTEST_FADDEEVA to compile a little test program +#ifdef TEST_FADDEEVA + +#ifdef __cplusplus +# include +#else +# include +#endif + +// compute relative error |b-a|/|a|, handling case of NaN and Inf, +static double relerr(double a, double b) { + if (isnan(a) || isnan(b) || isinf(a) || isinf(b)) { + if ((isnan(a) && !isnan(b)) || (!isnan(a) && isnan(b)) || + (isinf(a) && !isinf(b)) || (!isinf(a) && isinf(b)) || + (isinf(a) && isinf(b) && a*b < 0)) + return Inf; // "infinite" error + return 0; // matching infinity/nan results counted as zero error + } + if (a == 0) + return b == 0 ? 0 : Inf; + else + return fabs((b-a) / a); +} + +int main(void) { + double errmax_all = 0; + { + printf("############# w(z) tests #############\n"); +#define NTST 57 // define instead of const for C compatibility + cmplx z[NTST] = { + C(624.2,-0.26123), + C(-0.4,3.), + C(0.6,2.), + C(-1.,1.), + C(-1.,-9.), + C(-1.,9.), + C(-0.0000000234545,1.1234), + C(-3.,5.1), + C(-53,30.1), + C(0.0,0.12345), + C(11,1), + C(-22,-2), + C(9,-28), + C(21,-33), + C(1e5,1e5), + C(1e14,1e14), + C(-3001,-1000), + C(1e160,-1e159), + C(-6.01,0.01), + C(-0.7,-0.7), + C(2.611780000000000e+01, 4.540909610972489e+03), + C(0.8e7,0.3e7), + C(-20,-19.8081), + C(1e-16,-1.1e-16), + C(2.3e-8,1.3e-8), + C(6.3,-1e-13), + C(6.3,1e-20), + C(1e-20,6.3), + C(1e-20,16.3), + C(9,1e-300), + C(6.01,0.11), + C(8.01,1.01e-10), + C(28.01,1e-300), + C(10.01,1e-200), + C(10.01,-1e-200), + C(10.01,0.99e-10), + C(10.01,-0.99e-10), + C(1e-20,7.01), + C(-1,7.01), + C(5.99,7.01), + C(1,0), + C(55,0), + C(-0.1,0), + C(1e-20,0), + C(0,5e-14), + C(0,51), + C(Inf,0), + C(-Inf,0), + C(0,Inf), + C(0,-Inf), + C(Inf,Inf), + C(Inf,-Inf), + C(NaN,NaN), + C(NaN,0), + C(0,NaN), + C(NaN,Inf), + C(Inf,NaN) + }; + cmplx w[NTST] = { /* w(z), computed with WolframAlpha + ... note that WolframAlpha is problematic + some of the above inputs, so I had to + use the continued-fraction expansion + in WolframAlpha in some cases, or switch + to Maple */ + C(-3.78270245518980507452677445620103199303131110e-7, + 0.000903861276433172057331093754199933411710053155), + C(0.1764906227004816847297495349730234591778719532788, + -0.02146550539468457616788719893991501311573031095617), + C(0.2410250715772692146133539023007113781272362309451, + 0.06087579663428089745895459735240964093522265589350), + C(0.30474420525691259245713884106959496013413834051768, + -0.20821893820283162728743734725471561394145872072738), + C(7.317131068972378096865595229600561710140617977e34, + 8.321873499714402777186848353320412813066170427e34), + C(0.0615698507236323685519612934241429530190806818395, + -0.00676005783716575013073036218018565206070072304635), + C(0.3960793007699874918961319170187598400134746631, + -5.593152259116644920546186222529802777409274656e-9), + C(0.08217199226739447943295069917990417630675021771804, + -0.04701291087643609891018366143118110965272615832184), + C(0.00457246000350281640952328010227885008541748668738, + -0.00804900791411691821818731763401840373998654987934), + C(0.8746342859608052666092782112565360755791467973338452, + 0.), + C(0.00468190164965444174367477874864366058339647648741, + 0.0510735563901306197993676329845149741675029197050), + C(-0.0023193175200187620902125853834909543869428763219, + -0.025460054739731556004902057663500272721780776336), + C(9.11463368405637174660562096516414499772662584e304, + 3.97101807145263333769664875189354358563218932e305), + C(-4.4927207857715598976165541011143706155432296e281, + -2.8019591213423077494444700357168707775769028e281), + C(2.820947917809305132678577516325951485807107151e-6, + 2.820947917668257736791638444590253942253354058e-6), + C(2.82094791773878143474039725787438662716372268e-15, + 2.82094791773878143474039725773333923127678361e-15), + C(-0.0000563851289696244350147899376081488003110150498, + -0.000169211755126812174631861529808288295454992688), + C(-5.586035480670854326218608431294778077663867e-162, + 5.586035480670854326218608431294778077663867e-161), + C(0.00016318325137140451888255634399123461580248456, + -0.095232456573009287370728788146686162555021209999), + C(0.69504753678406939989115375989939096800793577783885, + -1.8916411171103639136680830887017670616339912024317), + C(0.0001242418269653279656612334210746733213167234822, + 7.145975826320186888508563111992099992116786763e-7), + C(2.318587329648353318615800865959225429377529825e-8, + 6.182899545728857485721417893323317843200933380e-8), + C(-0.0133426877243506022053521927604277115767311800303, + -0.0148087097143220769493341484176979826888871576145), + C(1.00000000000000012412170838050638522857747934, + 1.12837916709551279389615890312156495593616433e-16), + C(0.9999999853310704677583504063775310832036830015, + 2.595272024519678881897196435157270184030360773e-8), + C(-1.4731421795638279504242963027196663601154624e-15, + 0.090727659684127365236479098488823462473074709), + C(5.79246077884410284575834156425396800754409308e-18, + 0.0907276596841273652364790985059772809093822374), + C(0.0884658993528521953466533278764830881245144368, + 1.37088352495749125283269718778582613192166760e-22), + C(0.0345480845419190424370085249304184266813447878, + 2.11161102895179044968099038990446187626075258e-23), + C(6.63967719958073440070225527042829242391918213e-36, + 0.0630820900592582863713653132559743161572639353), + C(0.00179435233208702644891092397579091030658500743634, + 0.0951983814805270647939647438459699953990788064762), + C(9.09760377102097999924241322094863528771095448e-13, + 0.0709979210725138550986782242355007611074966717), + C(7.2049510279742166460047102593255688682910274423e-304, + 0.0201552956479526953866611812593266285000876784321), + C(3.04543604652250734193622967873276113872279682e-44, + 0.0566481651760675042930042117726713294607499165), + C(3.04543604652250734193622967873276113872279682e-44, + 0.0566481651760675042930042117726713294607499165), + C(0.5659928732065273429286988428080855057102069081e-12, + 0.056648165176067504292998527162143030538756683302), + C(-0.56599287320652734292869884280802459698927645e-12, + 0.0566481651760675042929985271621430305387566833029), + C(0.0796884251721652215687859778119964009569455462, + 1.11474461817561675017794941973556302717225126e-22), + C(0.07817195821247357458545539935996687005781943386550, + -0.01093913670103576690766705513142246633056714279654), + C(0.04670032980990449912809326141164730850466208439937, + 0.03944038961933534137558064191650437353429669886545), + C(0.36787944117144232159552377016146086744581113103176, + 0.60715770584139372911503823580074492116122092866515), + C(0, + 0.010259688805536830986089913987516716056946786526145), + C(0.99004983374916805357390597718003655777207908125383, + -0.11208866436449538036721343053869621153527769495574), + C(0.99999999999999999999999999999999999999990000, + 1.12837916709551257389615890312154517168802603e-20), + C(0.999999999999943581041645226871305192054749891144158, + 0), + C(0.0110604154853277201542582159216317923453996211744250, + 0), + C(0,0), + C(0,0), + C(0,0), + C(Inf,0), + C(0,0), + C(NaN,NaN), + C(NaN,NaN), + C(NaN,NaN), + C(NaN,0), + C(NaN,NaN), + C(NaN,NaN) + }; + double errmax = 0; + for (int i = 0; i < NTST; ++i) { + cmplx fw = FADDEEVA(w)(z[i],0.); + double re_err = relerr(creal(w[i]), creal(fw)); + double im_err = relerr(cimag(w[i]), cimag(fw)); + printf("w(%g%+gi) = %g%+gi (vs. %g%+gi), re/im rel. err. = %0.2g/%0.2g)\n", + creal(z[i]),cimag(z[i]), creal(fw),cimag(fw), creal(w[i]),cimag(w[i]), + re_err, im_err); + if (re_err > errmax) errmax = re_err; + if (im_err > errmax) errmax = im_err; + } + if (errmax > 1e-13) { + printf("FAILURE -- relative error %g too large!\n", errmax); + return 1; + } + printf("SUCCESS (max relative error = %g)\n", errmax); + if (errmax > errmax_all) errmax_all = errmax; + } + { +#undef NTST +#define NTST 41 // define instead of const for C compatibility + cmplx z[NTST] = { + C(1,2), + C(-1,2), + C(1,-2), + C(-1,-2), + C(9,-28), + C(21,-33), + C(1e3,1e3), + C(-3001,-1000), + C(1e160,-1e159), + C(5.1e-3, 1e-8), + C(-4.9e-3, 4.95e-3), + C(4.9e-3, 0.5), + C(4.9e-4, -0.5e1), + C(-4.9e-5, -0.5e2), + C(5.1e-3, 0.5), + C(5.1e-4, -0.5e1), + C(-5.1e-5, -0.5e2), + C(1e-6,2e-6), + C(0,2e-6), + C(0,2), + C(0,20), + C(0,200), + C(Inf,0), + C(-Inf,0), + C(0,Inf), + C(0,-Inf), + C(Inf,Inf), + C(Inf,-Inf), + C(NaN,NaN), + C(NaN,0), + C(0,NaN), + C(NaN,Inf), + C(Inf,NaN), + C(1e-3,NaN), + C(7e-2,7e-2), + C(7e-2,-7e-4), + C(-9e-2,7e-4), + C(-9e-2,9e-2), + C(-7e-4,9e-2), + C(7e-2,0.9e-2), + C(7e-2,1.1e-2) + }; + cmplx w[NTST] = { // erf(z[i]), evaluated with Maple + C(-0.5366435657785650339917955593141927494421, + -5.049143703447034669543036958614140565553), + C(0.5366435657785650339917955593141927494421, + -5.049143703447034669543036958614140565553), + C(-0.5366435657785650339917955593141927494421, + 5.049143703447034669543036958614140565553), + C(0.5366435657785650339917955593141927494421, + 5.049143703447034669543036958614140565553), + C(0.3359473673830576996788000505817956637777e304, + -0.1999896139679880888755589794455069208455e304), + C(0.3584459971462946066523939204836760283645e278, + 0.3818954885257184373734213077678011282505e280), + C(0.9996020422657148639102150147542224526887, + 0.00002801044116908227889681753993542916894856), + C(-1, 0), + C(1, 0), + C(0.005754683859034800134412990541076554934877, + 0.1128349818335058741511924929801267822634e-7), + C(-0.005529149142341821193633460286828381876955, + 0.005585388387864706679609092447916333443570), + C(0.007099365669981359632319829148438283865814, + 0.6149347012854211635026981277569074001219), + C(0.3981176338702323417718189922039863062440e8, + -0.8298176341665249121085423917575122140650e10), + C(-Inf, + -Inf), + C(0.007389128308257135427153919483147229573895, + 0.6149332524601658796226417164791221815139), + C(0.4143671923267934479245651547534414976991e8, + -0.8298168216818314211557046346850921446950e10), + C(-Inf, + -Inf), + C(0.1128379167099649964175513742247082845155e-5, + 0.2256758334191777400570377193451519478895e-5), + C(0, + 0.2256758334194034158904576117253481476197e-5), + C(0, + 18.56480241457555259870429191324101719886), + C(0, + 0.1474797539628786202447733153131835124599e173), + C(0, + Inf), + C(1,0), + C(-1,0), + C(0,Inf), + C(0,-Inf), + C(NaN,NaN), + C(NaN,NaN), + C(NaN,NaN), + C(NaN,0), + C(0,NaN), + C(NaN,NaN), + C(NaN,NaN), + C(NaN,NaN), + C(0.07924380404615782687930591956705225541145, + 0.07872776218046681145537914954027729115247), + C(0.07885775828512276968931773651224684454495, + -0.0007860046704118224342390725280161272277506), + C(-0.1012806432747198859687963080684978759881, + 0.0007834934747022035607566216654982820299469), + C(-0.1020998418798097910247132140051062512527, + 0.1010030778892310851309082083238896270340), + C(-0.0007962891763147907785684591823889484764272, + 0.1018289385936278171741809237435404896152), + C(0.07886408666470478681566329888615410479530, + 0.01010604288780868961492224347707949372245), + C(0.07886723099940260286824654364807981336591, + 0.01235199327873258197931147306290916629654) + }; +#define TST(f,isc) \ + printf("############# " #f "(z) tests #############\n"); \ + double errmax = 0; \ + for (int i = 0; i < NTST; ++i) { \ + cmplx fw = FADDEEVA(f)(z[i],0.); \ + double re_err = relerr(creal(w[i]), creal(fw)); \ + double im_err = relerr(cimag(w[i]), cimag(fw)); \ + printf(#f "(%g%+gi) = %g%+gi (vs. %g%+gi), re/im rel. err. = %0.2g/%0.2g)\n", \ + creal(z[i]),cimag(z[i]), creal(fw),cimag(fw), creal(w[i]),cimag(w[i]), \ + re_err, im_err); \ + if (re_err > errmax) errmax = re_err; \ + if (im_err > errmax) errmax = im_err; \ + } \ + if (errmax > 1e-13) { \ + printf("FAILURE -- relative error %g too large!\n", errmax); \ + return 1; \ + } \ + printf("Checking " #f "(x) special case...\n"); \ + for (int i = 0; i < 10000; ++i) { \ + double x = pow(10., -300. + i * 600. / (10000 - 1)); \ + double re_err = relerr(FADDEEVA_RE(f)(x), \ + creal(FADDEEVA(f)(C(x,x*isc),0.))); \ + if (re_err > errmax) errmax = re_err; \ + re_err = relerr(FADDEEVA_RE(f)(-x), \ + creal(FADDEEVA(f)(C(-x,x*isc),0.))); \ + if (re_err > errmax) errmax = re_err; \ + } \ + { \ + double re_err = relerr(FADDEEVA_RE(f)(Inf), \ + creal(FADDEEVA(f)(C(Inf,0.),0.))); \ + if (re_err > errmax) errmax = re_err; \ + re_err = relerr(FADDEEVA_RE(f)(-Inf), \ + creal(FADDEEVA(f)(C(-Inf,0.),0.))); \ + if (re_err > errmax) errmax = re_err; \ + re_err = relerr(FADDEEVA_RE(f)(NaN), \ + creal(FADDEEVA(f)(C(NaN,0.),0.))); \ + if (re_err > errmax) errmax = re_err; \ + } \ + if (errmax > 1e-13) { \ + printf("FAILURE -- relative error %g too large!\n", errmax); \ + return 1; \ + } \ + printf("SUCCESS (max relative error = %g)\n", errmax); \ + if (errmax > errmax_all) errmax_all = errmax + + TST(erf, 1e-20); + } + { + // since erfi just calls through to erf, just one test should + // be sufficient to make sure I didn't screw up the signs or something +#undef NTST +#define NTST 1 // define instead of const for C compatibility + cmplx z[NTST] = { C(1.234,0.5678) }; + cmplx w[NTST] = { // erfi(z[i]), computed with Maple + C(1.081032284405373149432716643834106923212, + 1.926775520840916645838949402886591180834) + }; + TST(erfi, 0); + } + { + // since erfcx just calls through to w, just one test should + // be sufficient to make sure I didn't screw up the signs or something +#undef NTST +#define NTST 1 // define instead of const for C compatibility + cmplx z[NTST] = { C(1.234,0.5678) }; + cmplx w[NTST] = { // erfcx(z[i]), computed with Maple + C(0.3382187479799972294747793561190487832579, + -0.1116077470811648467464927471872945833154) + }; + TST(erfcx, 0); + } + { +#undef NTST +#define NTST 30 // define instead of const for C compatibility + cmplx z[NTST] = { + C(1,2), + C(-1,2), + C(1,-2), + C(-1,-2), + C(9,-28), + C(21,-33), + C(1e3,1e3), + C(-3001,-1000), + C(1e160,-1e159), + C(5.1e-3, 1e-8), + C(0,2e-6), + C(0,2), + C(0,20), + C(0,200), + C(2e-6,0), + C(2,0), + C(20,0), + C(200,0), + C(Inf,0), + C(-Inf,0), + C(0,Inf), + C(0,-Inf), + C(Inf,Inf), + C(Inf,-Inf), + C(NaN,NaN), + C(NaN,0), + C(0,NaN), + C(NaN,Inf), + C(Inf,NaN), + C(88,0) + }; + cmplx w[NTST] = { // erfc(z[i]), evaluated with Maple + C(1.536643565778565033991795559314192749442, + 5.049143703447034669543036958614140565553), + C(0.4633564342214349660082044406858072505579, + 5.049143703447034669543036958614140565553), + C(1.536643565778565033991795559314192749442, + -5.049143703447034669543036958614140565553), + C(0.4633564342214349660082044406858072505579, + -5.049143703447034669543036958614140565553), + C(-0.3359473673830576996788000505817956637777e304, + 0.1999896139679880888755589794455069208455e304), + C(-0.3584459971462946066523939204836760283645e278, + -0.3818954885257184373734213077678011282505e280), + C(0.0003979577342851360897849852457775473112748, + -0.00002801044116908227889681753993542916894856), + C(2, 0), + C(0, 0), + C(0.9942453161409651998655870094589234450651, + -0.1128349818335058741511924929801267822634e-7), + C(1, + -0.2256758334194034158904576117253481476197e-5), + C(1, + -18.56480241457555259870429191324101719886), + C(1, + -0.1474797539628786202447733153131835124599e173), + C(1, -Inf), + C(0.9999977432416658119838633199332831406314, + 0), + C(0.004677734981047265837930743632747071389108, + 0), + C(0.5395865611607900928934999167905345604088e-175, + 0), + C(0, 0), + C(0, 0), + C(2, 0), + C(1, -Inf), + C(1, Inf), + C(NaN, NaN), + C(NaN, NaN), + C(NaN, NaN), + C(NaN, 0), + C(1, NaN), + C(NaN, NaN), + C(NaN, NaN), + C(0,0) + }; + TST(erfc, 1e-20); + } + { +#undef NTST +#define NTST 48 // define instead of const for C compatibility + cmplx z[NTST] = { + C(2,1), + C(-2,1), + C(2,-1), + C(-2,-1), + C(-28,9), + C(33,-21), + C(1e3,1e3), + C(-1000,-3001), + C(1e-8, 5.1e-3), + C(4.95e-3, -4.9e-3), + C(5.1e-3, 5.1e-3), + C(0.5, 4.9e-3), + C(-0.5e1, 4.9e-4), + C(-0.5e2, -4.9e-5), + C(0.5e3, 4.9e-6), + C(0.5, 5.1e-3), + C(-0.5e1, 5.1e-4), + C(-0.5e2, -5.1e-5), + C(1e-6,2e-6), + C(2e-6,0), + C(2,0), + C(20,0), + C(200,0), + C(0,4.9e-3), + C(0,-5.1e-3), + C(0,2e-6), + C(0,-2), + C(0,20), + C(0,-200), + C(Inf,0), + C(-Inf,0), + C(0,Inf), + C(0,-Inf), + C(Inf,Inf), + C(Inf,-Inf), + C(NaN,NaN), + C(NaN,0), + C(0,NaN), + C(NaN,Inf), + C(Inf,NaN), + C(39, 6.4e-5), + C(41, 6.09e-5), + C(4.9e7, 5e-11), + C(5.1e7, 4.8e-11), + C(1e9, 2.4e-12), + C(1e11, 2.4e-14), + C(1e13, 2.4e-16), + C(1e300, 2.4e-303) + }; + cmplx w[NTST] = { // dawson(z[i]), evaluated with Maple + C(0.1635394094345355614904345232875688576839, + -0.1531245755371229803585918112683241066853), + C(-0.1635394094345355614904345232875688576839, + -0.1531245755371229803585918112683241066853), + C(0.1635394094345355614904345232875688576839, + 0.1531245755371229803585918112683241066853), + C(-0.1635394094345355614904345232875688576839, + 0.1531245755371229803585918112683241066853), + C(-0.01619082256681596362895875232699626384420, + -0.005210224203359059109181555401330902819419), + C(0.01078377080978103125464543240346760257008, + 0.006866888783433775382193630944275682670599), + C(-0.5808616819196736225612296471081337245459, + 0.6688593905505562263387760667171706325749), + C(Inf, + -Inf), + C(0.1000052020902036118082966385855563526705e-7, + 0.005100088434920073153418834680320146441685), + C(0.004950156837581592745389973960217444687524, + -0.004899838305155226382584756154100963570500), + C(0.005100176864319675957314822982399286703798, + 0.005099823128319785355949825238269336481254), + C(0.4244534840871830045021143490355372016428, + 0.002820278933186814021399602648373095266538), + C(-0.1021340733271046543881236523269967674156, + -0.00001045696456072005761498961861088944159916), + C(-0.01000200120119206748855061636187197886859, + 0.9805885888237419500266621041508714123763e-8), + C(0.001000002000012000023960527532953151819595, + -0.9800058800588007290937355024646722133204e-11), + C(0.4244549085628511778373438768121222815752, + 0.002935393851311701428647152230552122898291), + C(-0.1021340732357117208743299813648493928105, + -0.00001088377943049851799938998805451564893540), + C(-0.01000200120119126652710792390331206563616, + 0.1020612612857282306892368985525393707486e-7), + C(0.1000000000007333333333344266666666664457e-5, + 0.2000000000001333333333323199999999978819e-5), + C(0.1999999999994666666666675199999999990248e-5, + 0), + C(0.3013403889237919660346644392864226952119, + 0), + C(0.02503136792640367194699495234782353186858, + 0), + C(0.002500031251171948248596912483183760683918, + 0), + C(0,0.004900078433419939164774792850907128053308), + C(0,-0.005100088434920074173454208832365950009419), + C(0,0.2000000000005333333333341866666666676419e-5), + C(0,-48.16001211429122974789822893525016528191), + C(0,0.4627407029504443513654142715903005954668e174), + C(0,-Inf), + C(0,0), + C(-0,0), + C(0, Inf), + C(0, -Inf), + C(NaN, NaN), + C(NaN, NaN), + C(NaN, NaN), + C(NaN, 0), + C(0, NaN), + C(NaN, NaN), + C(NaN, NaN), + C(0.01282473148489433743567240624939698290584, + -0.2105957276516618621447832572909153498104e-7), + C(0.01219875253423634378984109995893708152885, + -0.1813040560401824664088425926165834355953e-7), + C(0.1020408163265306334945473399689037886997e-7, + -0.1041232819658476285651490827866174985330e-25), + C(0.9803921568627452865036825956835185367356e-8, + -0.9227220299884665067601095648451913375754e-26), + C(0.5000000000000000002500000000000000003750e-9, + -0.1200000000000000001800000188712838420241e-29), + C(5.00000000000000000000025000000000000000000003e-12, + -1.20000000000000000000018000000000000000000004e-36), + C(5.00000000000000000000000002500000000000000000e-14, + -1.20000000000000000000000001800000000000000000e-42), + C(5e-301, 0) + }; + TST(Dawson, 1e-20); + } + printf("#####################################\n"); + printf("SUCCESS (max relative error = %g)\n", errmax_all); +} + +#endif diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/Faddeeva/Faddeeva.h julia-0.2.1~quantal7/deps/openspecfun/Faddeeva/Faddeeva.h --- julia-0.2.0~quantalfinal1/deps/openspecfun/Faddeeva/Faddeeva.h 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/Faddeeva/Faddeeva.h 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,68 @@ +/* Copyright (c) 2012 Massachusetts Institute of Technology + * + * Permission is hereby granted, free of charge, to any person obtaining + * a copy of this software and associated documentation files (the + * "Software"), to deal in the Software without restriction, including + * without limitation the rights to use, copy, modify, merge, publish, + * distribute, sublicense, and/or sell copies of the Software, and to + * permit persons to whom the Software is furnished to do so, subject to + * the following conditions: + * + * The above copyright notice and this permission notice shall be + * included in all copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, + * EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF + * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND + * NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE + * LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION + * OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION + * WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. + */ + +/* Available at: http://ab-initio.mit.edu/Faddeeva + + Header file for Faddeeva.c; see Faddeeva.cc for more information. */ + +#ifndef FADDEEVA_H +#define FADDEEVA_H 1 + +// Require C99 complex-number support +#include + +#ifdef __cplusplus +extern "C" +{ +#endif /* __cplusplus */ + +// compute w(z) = exp(-z^2) erfc(-iz) [ Faddeeva / scaled complex error func ] +extern double complex Faddeeva_w(double complex z,double relerr); +extern double Faddeeva_w_im(double x); // special-case code for Im[w(x)] of real x + +// Various functions that we can compute with the help of w(z) + +// compute erfcx(z) = exp(z^2) erfc(z) +extern double complex Faddeeva_erfcx(double complex z, double relerr); +extern double Faddeeva_erfcx_re(double x); // special case for real x + +// compute erf(z), the error function of complex arguments +extern double complex Faddeeva_erf(double complex z, double relerr); +extern double Faddeeva_erf_re(double x); // special case for real x + +// compute erfi(z) = -i erf(iz), the imaginary error function +extern double complex Faddeeva_erfi(double complex z, double relerr); +extern double Faddeeva_erfi_re(double x); // special case for real x + +// compute erfc(z) = 1 - erf(z), the complementary error function +extern double complex Faddeeva_erfc(double complex z, double relerr); +extern double Faddeeva_erfc_re(double x); // special case for real x + +// compute Dawson(z) = sqrt(pi)/2 * exp(-z^2) * erfi(z) +extern double complex Faddeeva_Dawson(double complex z, double relerr); +extern double Faddeeva_Dawson_re(double x); // special case for real x + +#ifdef __cplusplus +} +#endif /* __cplusplus */ + +#endif // FADDEEVA_H diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/Faddeeva/Make.files julia-0.2.1~quantal7/deps/openspecfun/Faddeeva/Make.files --- julia-0.2.0~quantalfinal1/deps/openspecfun/Faddeeva/Make.files 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/Faddeeva/Make.files 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,3 @@ +# complex error functions from the Faddeeva package +# (http://ab-initio.mit.edu/Faddeeva) +$(CUR_SRCS) += Faddeeva.c diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/Makefile julia-0.2.1~quantal7/deps/openspecfun/Makefile --- julia-0.2.0~quantalfinal1/deps/openspecfun/Makefile 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/Makefile 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,34 @@ +OPENLIBM_HOME=$(abspath .) +include ./Make.inc + +SUBDIRS = amos Faddeeva + +define INC_template +TEST=test +override CUR_SRCS = $(1)_SRCS +include $(1)/Make.files +SRCS += $$(addprefix $(1)/,$$($(1)_SRCS)) +endef + +DIR=test + +$(foreach dir,$(SUBDIRS),$(eval $(call INC_template,$(dir)))) + +DUPLICATE_NAMES = $(filter $(patsubst %.S,%,$($(ARCH)_SRCS)),$(patsubst %.c,%,$(src_SRCS))) +DUPLICATE_SRCS = $(addsuffix .c,$(DUPLICATE_NAMES)) + +OBJS = $(patsubst %.f,%.f.o,\ + $(patsubst %.S,%.S.o,\ + $(patsubst %.c,%.c.o,$(filter-out $(addprefix src/,$(DUPLICATE_SRCS)),$(SRCS))))) + +all: libopenspecfun.a libopenspecfun.$(SHLIB_EXT) +libopenspecfun.a: $(OBJS) + $(AR) -rcs libopenspecfun.a $(OBJS) +libopenspecfun.$(SHLIB_EXT): $(OBJS) + $(FC) -shared $(OBJS) $(LDFLAGS) -o libopenspecfun.$(SHLIB_EXT) + +clean: + rm -fr {Faddeeva,amos,.}/*{.o,.a,.$(SHLIB_EXT),~} + +distclean: + rm -f $(OBJS) *.a *.$(SHLIB_EXT) diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/Make.inc julia-0.2.1~quantal7/deps/openspecfun/Make.inc --- julia-0.2.0~quantalfinal1/deps/openspecfun/Make.inc 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/Make.inc 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,94 @@ +# -*- mode: makefile-gmake -*- + +OS := $(shell uname) + +FC = gfortran +FFLAGS += -O3 + +USEGCC = 1 +USECLANG = 0 + +ifeq ($(OS), Darwin) +USEGCC = 0 +USECLANG = 1 +endif + +AR = ar + +ifeq ($(USECLANG),1) +USEGCC = 0 +CC = clang +CFLAGS_add += -fno-builtin +endif + +ifeq ($(USEGCC),1) +CC = gcc +CFLAGS_add += -fno-gnu89-inline +endif + +ARCH := $(shell $(CC) -dumpmachine | sed "s/\([^-]*\).*$$/\1/") +ifeq ($(ARCH),mingw32) +$(error "the mingw32 compiler you are using fails the openblas testsuite. please see the Julia README.windows.md document for a replacement") +endif + +CFLAGS_add += -std=c99 -Wall -O3 +ifeq ($(USE_OPENLIBM),1) +CFLAGS_add += -DUSE_OPENLIBM -I$(OPENLIBM_HOME)/src -I$(OPENLIBM_HOME)/include +endif + +default: all + +%.c.o: %.c + $(CC) $(CPPFLAGS) $(CFLAGS_add) $(CFLAGS) -c $< -o $@ + +%.f.o: %.f + $(FC) $(FFLAGS) -c $< -o $@ + +%.S.o: %.S + $(CC) $(SFLAGS) $(filter -m% -B% -I% -D%,$(CFLAGS_add)) -c $< -o $@ + +# OS-specific stuff +ifeq ($(ARCH),i386) +override ARCH := i387 +endif +ifeq ($(ARCH),i486) +override ARCH := i387 +endif +ifeq ($(ARCH),i686) +override ARCH := i387 +endif + +ifeq ($(ARCH),x86_64) +override ARCH := amd64 +endif + +ifneq (,$(findstring MINGW,$(OS))) +override OS=WINNT +endif +#keep these if statements these separate +ifeq ($(OS), WINNT) +CFLAGS_add+=-nodefaultlibs +FFLAGS+=-nodefaultlibs +endif + +ifeq ($(OS), Linux) +SHLIB_EXT = so +CFLAGS_add+=-fPIC +FFLAGS+=-fPIC +endif + +ifeq ($(OS), FreeBSD) +SHLIB_EXT = so +CFLAGS_add+=-fPIC +FFLAGS+=-fPIC +endif + +ifeq ($(OS), Darwin) +SHLIB_EXT = dylib +CFLAGS_add+=-fPIC +FFLAGS+=-fPIC +endif + +ifeq ($(OS), WINNT) +SHLIB_EXT = dll +endif diff -Nru julia-0.2.0~quantalfinal1/deps/openspecfun/README.md julia-0.2.1~quantal7/deps/openspecfun/README.md --- julia-0.2.0~quantalfinal1/deps/openspecfun/README.md 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/openspecfun/README.md 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,4 @@ +openspecfun +=========== + +A collection of special mathematical functions diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/CHANGE-LOG.txt julia-0.2.1~quantal7/deps/random/dsfmt-2.2/CHANGE-LOG.txt --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/CHANGE-LOG.txt 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/CHANGE-LOG.txt 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,80 @@ +ver 2.2.0 +------- +move do_recursion to dSFMT-common.h + +ver 2.1.1 +------- +The initialization of the constants for sse2 is changed. +Old version may cause trouble in parallel environment like OpenMP. + +ver 2.1 +------- +This version supports the periods from 2^521-1 to 2^216091-1. +We added new function dsfmt_genrand_uint32, which returns 32-bit +unsigned integer. If you need many floating point pseudo random +numbers and a few integers, you don't need to use another +integer generator. + +ver 2.0 +------- +The recursion formula of dSFMT is changed. +The supported periods are changed. +The output sequences are completely changed. +The generation speed is improved. +The variable for initialization check is removed, because it causes +an execution error in cygwin. + +ver 1.3.1 +------- +change dSFMT.h not to include dSFMT-params.h +change Makefile to clean test files. + +ver 1.3 +------- +add `dsfmt_' prefix to functions. +changed to structure base code. +put Intel Compiler into silence. +bug fix checking BIG_ENDIAN and BYTE_ORDER +change test.c not to include dSFMT.c +dSFMT-alti.h and dSFMT-sse2.h are marged into dSFMT.c + +ver 1.2.1 +------- +add #include to dSFMT.c + +ver 1.2 +------- +The precision specifier of printf was too large in test.c +CAUTION! *.out.txt is changed. +add dSFMT-params216091.h +gcc compile option changed form -O9 to -O3. +add AltiVec parameter format for systems which are not OSX. +change Makefile for systems which are not OSX and support AltiVec. +change sample2 of howto-compile for Free BSD. +change period certification code more smart. +change source files for BORLANDC and Visual Studio. + +ver 1.1.1 +------- +BUG in dSFMT-sse2.h is fixed. +This bug didn't change the result. +Change test.c + +ver 1.1 +------- +add dSFMT-params132049.h +fix bug in period_certification. It's a bug but result is the same for +all parameter files. +change macro definition names and global variables. Thank you, Adam Piatyszek. +remove L suffix from floating point constants. It's Saito's misunderstanding. +fix bug of sfmt_idxof definition for BIG ENDIAN machine. + +ver 1.0.1 +------- +change name dSFMT-alti.c to SFMT-alti.h +change name dSFMT-sse2.c to SFMT-sse2.h +This version is not released. + +ver 1.0 +------- +The first version. diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/check.sh julia-0.2.1~quantal7/deps/random/dsfmt-2.2/check.sh --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/check.sh 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/check.sh 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,18 @@ +#!/bin/sh +prefix=$1 +tmp=tmp.$$ +exps="521 1279 2203 4253 11213 19937 44497 86243 132049 216091" +for mexp in $exps; do + compare=dSFMT.${mexp}.out.txt + command=${prefix}-M${mexp} + ./$command -v > $tmp + if diff -q -w $tmp $compare; then + echo $command output check OK + rm -f $tmp + else + echo $command output check NG! + rm -f $tmp + exit 1 + fi +done +exit 0 diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/config.status julia-0.2.1~quantal7/deps/random/dsfmt-2.2/config.status --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/config.status 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/config.status 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1 @@ +1 diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/dSFMT.11213.out.txt julia-0.2.1~quantal7/deps/random/dsfmt-2.2/dSFMT.11213.out.txt --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/dSFMT.11213.out.txt 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/dSFMT.11213.out.txt 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,583 @@ +dSFMT2-11213:37-19:ffffffdf7fffd-dfffffff6bfff +init_gen_rand(0) generated randoms [1, 2) +1.181503558381645 1.731043322943541 1.039986179500985 1.586303905746746 +1.918899855723876 1.440493331081931 1.468391025018997 1.259058360242485 +1.839408810938974 1.996420751003233 1.846963144067767 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1.290134904471313 1.138322133693787 1.537890667670148 +1.127234628434044 1.075399604334112 1.450575709463583 1.971989849261632 +1.125622091677718 1.043653494592289 1.519998264058048 1.392495756866560 +1.241461415272052 1.815214102311230 1.328633123760259 1.379566481682548 +1.837588901821663 1.479221453471263 1.406009833593042 1.788088163446038 +1.882690588537149 1.326036949639496 1.014856361490488 1.531818122034700 +1.259776328236883 1.628786492594881 1.900907143216087 1.399030569078722 +1.690628780115286 1.649563170632522 1.309918757629376 1.622342121199376 +1.163555877607187 1.588202672121352 1.417072632098665 1.592037263011384 +1.024019307094300 1.118164400363435 1.690402643086179 1.330774773667029 +1.391344554823132 1.890955327159098 1.196870350018152 1.535489758396616 +1.818625413085171 1.455481052211494 1.744628084012586 1.681400233675138 +1.019653664426986 1.842544483662391 1.483538454245493 1.311562200611514 +1.419852324325226 1.900582512746614 1.417866584129346 1.164385425771965 +1.902450071305102 1.377187111358117 1.989480172330361 1.375368501478232 +1.116390836448992 1.033615117990837 1.381089728973561 1.338210798290339 +1.466208815228885 1.677226418254145 1.954676792590627 1.118677644079673 +1.375764292670719 1.082944211138035 1.527440552380678 1.390923552078622 +init_gen_rand(0) generated randoms [0, 1) +0.181503558381645 0.731043322943541 0.039986179500985 0.586303905746746 +0.918899855723876 0.440493331081931 0.468391025018997 0.259058360242485 +0.839408810938974 0.996420751003233 0.846963144067767 0.963803534587744 +init_gen_rand(1) generated randoms (0, 1] +0.963684745154333 0.571016340205011 0.362082402236948 0.305665917354580 +0.102070317160527 0.403628052066152 0.513761331194790 0.473026425576278 +0.123684867263456 0.525282305477042 0.946619948271145 0.047869079429478 +init_gen_rand(2) generated randoms (0, 1) +0.137049000173775 0.284220403145830 0.575114701527820 0.594856071012208 +0.437047378834815 0.976394699879323 0.655991175454351 0.763642835655244 +0.000441891080732 0.746223655157404 0.893073981410607 0.276879212662776 +init_gen_rand(3) generated randoms [1, 2) +1.498908717922097 1.996180804385135 1.751259447023341 1.049159620877016 +1.087943949836268 1.968563014915355 1.291535597857181 1.805821453753079 +1.933237976926628 1.729762902669877 1.008606516267365 1.314218062844122 +init_gen_rand(4) generated randoms [0, 1) +0.468691303912138 0.027314035537382 0.832781188175840 0.788285376418242 +0.657191631603973 0.191936433141470 0.586377277752353 0.633547163048286 +0.805904348442297 0.752245318309351 0.618248736787129 0.225332749360476 +init_gen_rand(5) generated randoms (0, 1] +0.724679842853917 0.562259855400062 0.665918059898257 0.698340169569271 +0.366131419228391 0.654484201445447 0.516754542591891 0.793145813620681 +0.155173546454173 0.876408204767132 0.157724418133396 0.733108319608067 +init_gen_rand(6) generated randoms (0, 1) +0.166467877031225 0.700555438204047 0.780222245369658 0.728022885908251 +0.009768788375504 0.456580882600894 0.050473225346549 0.629061686159083 +0.369031109721613 0.717734673698406 0.686074482232103 0.882134455762938 +init_gen_rand(7) generated randoms [1, 2) +1.798430643737222 1.516774142609298 1.503684013420146 1.497493250268048 +1.137969718944356 1.096621888782349 1.750074707870874 1.704027223271664 +1.770628129940419 1.719275728746921 1.222876183395513 1.240203448208029 +init_gen_rand(8) generated randoms [0, 1) +0.145594417641605 0.656715012492086 0.882185523874741 0.226020947041445 +0.590380323922954 0.983462923117057 0.469529987627192 0.231611645781400 +0.973616370300120 0.324802877524021 0.549630434253938 0.570100596264959 +init_gen_rand(9) generated randoms (0, 1] +0.943694671600654 0.773663270099821 0.242490632056324 0.821945441236990 +0.332031757624848 0.919053179470680 0.376844827396835 0.349418878946262 +0.944147726053727 0.265269894999606 0.600219718576133 0.844877358030171 +init_gen_rand(10) generated randoms (0, 1) +0.683403460418111 0.343262378501707 0.708413973012067 0.800052307562341 +0.575683916483860 0.533205063872000 0.837524859089275 0.350804458308149 +0.919977921118806 0.991472260425635 0.500855301984413 0.293260706041093 +init_gen_rand(11) generated randoms [1, 2) +1.314259445265223 1.740199849077772 1.488579427855286 1.377105190256387 +1.720288466431272 1.536122386164422 1.980478726649462 1.661702632293279 +1.945223216730766 1.246075034045997 1.440375922859263 1.705912089477020 +init_gen_rand(12) generated randoms [0, 1) +0.673314503765025 0.193823272483514 0.254601399999535 0.889990455094058 +0.120720028715510 0.274773918402688 0.230323910161863 0.771903702918926 +0.786409765475613 0.833413983724388 0.519296207220376 0.405056678812545 +init_gen_rand(13) generated randoms (0, 1] +0.228330703716589 0.083707652845761 0.575000350277484 0.588496558471820 +0.622640405205573 0.625644717036925 0.766380723184564 0.438678639070277 +0.553888390348759 0.865911730246464 0.357472169433473 0.922567467736359 +init_gen_rand(14) generated randoms (0, 1) +0.125457098903114 0.731177944845271 0.859403502644756 0.507418228697383 +0.221078031321711 0.671504688760071 0.389317221571860 0.381880380998315 +0.187696642782292 0.256589812586356 0.848270717523271 0.843199177502377 +init_gen_rand(15) generated randoms [1, 2) +1.060539798047399 1.934181709891972 1.237542016566071 1.576081951714868 +1.589287364382687 1.548617620285070 1.809653414804196 1.524096233269848 +1.181680629743948 1.624330442139056 1.810304640667551 1.105338706297052 +init_gen_rand(16) generated randoms [0, 1) +0.829761691647542 0.802741627292433 0.078346226053278 0.097138031599215 +0.209212082579908 0.471364327218975 0.530504039839123 0.574572482988680 +0.707528517646136 0.457143741639870 0.547916932770332 0.009136005048997 +init_gen_rand(17) generated randoms (0, 1] +0.079816948824546 0.731931626965978 0.077578823514663 0.024651560015970 +0.630587937830447 0.639902945258729 0.034090174724157 0.607493504949063 +0.756911890539818 0.814853236610657 0.167376573599855 0.516192274865681 +init_gen_rand(18) generated randoms (0, 1) +0.687527253386543 0.895829860413485 0.380275802190672 0.142368023689720 +0.329743313213155 0.990066728642289 0.472378043181990 0.543612705262237 +0.174288200490540 0.381221152356904 0.192282899844370 0.983193084821066 +init_gen_rand(19) generated randoms [1, 2) +1.531700092578017 1.697194009111415 1.449251050264404 1.262990988864462 +1.822963332564419 1.507458891377459 1.698077535552422 1.097391065995660 +1.489776962061972 1.524018699781288 1.829834024211206 1.158249381580875 +init_by_array {1, 2, 3, 4} generated randoms [1, 2) +1.206098150187858 1.188748746890072 1.905790177292542 1.197683783679395 +1.581791707731582 1.472658741645999 1.219954195279126 1.314431817240350 +1.892557591486989 1.674182513956407 1.354716893683782 1.845844041376035 +1.826170986556681 1.967780635370779 1.862910750705555 1.389713394565989 +1.135424893818967 1.243226848863541 1.372568674168553 1.838416793915725 +1.012244536944503 1.931569056772462 1.754609079927966 1.620967147520305 +1.391088695717090 1.789722500832279 1.226084228480795 1.266447763415419 +1.968018607993182 1.870208478493540 1.932281824611828 1.723386231694753 +1.730336310862481 1.662669167476448 1.562447478451590 1.891495768900914 +1.249652028351600 1.808146878386367 1.585336869927527 1.996321952745465 +1.113662991918610 1.972612977890216 1.097411657776820 1.693401759056604 +1.759755552764595 1.244567771454269 1.158773815236758 1.556274684963345 +1.233387786791304 1.401710881013521 1.600853369181083 1.322570339034666 +1.734348613477966 1.057887523655255 1.808334479516933 1.003906648628919 +1.846156422092308 1.201498594394011 1.322572087614602 1.105346724586165 +1.343901406159838 1.094259599899319 1.969572703190689 1.780766350397862 +1.073781553196469 1.221980665005475 1.759514652387593 1.166896306200663 +1.898937807520922 1.517554638076569 1.944096436806515 1.353171177269937 +1.200582715941771 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1.291990496481559 1.619633619348228 +1.575146541348941 1.161900292790780 1.508827320299430 1.887421666240000 +1.091601009260696 1.763320603812615 1.029855213042826 1.012995081140343 +1.258846776326928 1.184211354331455 1.677390757603922 1.733228196781112 +1.394044459121053 1.325516245226029 1.176335737396861 1.792561231950753 +1.008598491393521 1.836482314141504 1.610882632270619 1.690679830923169 +1.837591966255078 1.160128581560267 1.654620893760503 1.616290221473123 +1.753346514672486 1.520722242935765 1.839748199064077 1.321741834993253 +1.187411486332115 1.131827502674687 1.061020167760792 1.643145412931862 +1.766706698145981 1.329259030012106 1.402009332786640 1.076972207326793 +1.413579267005697 1.502723550444540 1.484982646879933 1.670875406510761 +1.245360568168656 1.165380507332637 1.116665339233061 1.194034154425866 +1.545766023947871 1.402597432241319 1.030852556202480 1.708295654279878 +1.013431369944712 1.350541334176504 1.919491760151125 1.967608250605749 +1.785184571073000 1.967815994377165 1.558337591873853 1.474609396390283 +1.996214674294498 1.905553502363882 1.377030530363678 1.335347843539054 +init_gen_rand(0) generated randoms [0, 1) +0.156831223459688 0.953102598919505 0.488013133047359 0.105592242939646 +0.756666504386507 0.690453480633489 0.365624648541421 0.753090951057517 +0.188492820321510 0.316363338748397 0.862503124432107 0.060669621217250 +init_gen_rand(1) generated randoms (0, 1] +0.419885517221934 0.810112585108877 0.940236453400972 0.623360474420156 +0.630616293919298 0.212300534719664 0.758834629575185 0.875883062362439 +0.128970203122565 0.517725048970839 0.282344071433076 0.027599994280744 +init_gen_rand(2) generated randoms (0, 1) +0.089579978452761 0.658108704671168 0.366647599557840 0.230628125941176 +0.368742760048532 0.295514717026912 0.799388611483071 0.845396233345246 +0.990732824244897 0.236521332117139 0.466784235663302 0.837080121670923 +init_gen_rand(3) generated randoms [1, 2) +1.944705789242260 1.198826816441233 1.789264220413955 1.051800701136341 +1.693443194328767 1.588289742366447 1.348216260205265 1.367549740192885 +1.332701251308635 1.846695132725040 1.037688452208743 1.552307844874915 +init_gen_rand(4) generated randoms [0, 1) +0.364763168484598 0.148846426776551 0.872329428387068 0.343385782383902 +0.383122366941475 0.390558746496138 0.005591283883566 0.859926560559612 +0.145724364255677 0.834225748319710 0.133152262304825 0.862810035918125 +init_gen_rand(5) generated randoms (0, 1] +0.599092557469907 0.302813086929101 0.614374673163305 0.665123451363622 +0.690796350145810 0.041741010504964 0.823887165394826 0.842976190718608 +0.769367981663134 0.860840976959229 0.495724637344198 0.230007258352545 +init_gen_rand(6) generated randoms (0, 1) +0.165051757946821 0.690581886628497 0.736208960344018 0.552508662438028 +0.072350796923901 0.415862912604273 0.504625468507835 0.986912447926083 +0.537917448566223 0.119718663064788 0.918823649781281 0.539804429814354 +init_gen_rand(7) generated randoms [1, 2) +1.806629058661570 1.356620156492110 1.628455292948148 1.591950778457712 +1.613322405427325 1.904062787866744 1.677662541032122 1.694293074995702 +1.677058200427991 1.058220227060939 1.021023325117410 1.491172968534249 +init_gen_rand(8) generated randoms [0, 1) +0.664045222410042 0.519485589911291 0.428938515879274 0.187433874251216 +0.380468071528059 0.385008871251893 0.766034128812132 0.913890256547367 +0.995404678384921 0.901667075635926 0.626573153796530 0.484723857332466 +init_gen_rand(9) generated randoms (0, 1] +0.221135266765194 0.600297133236089 0.803622177245053 0.101906582153485 +0.304794307051574 0.589095604432693 0.042522338645820 0.340459761494362 +0.676947095917853 0.440602727741034 0.029707774803035 0.232513496906324 +init_gen_rand(10) generated randoms (0, 1) +0.063923425723319 0.696698843092628 0.175240007707153 0.253053694266930 +0.944648897355057 0.390397316932160 0.770115877919974 0.994836197447424 +0.562023760128554 0.677703357963455 0.375459842300269 0.802211026490111 +init_gen_rand(11) generated randoms [1, 2) +1.330864640767377 1.943461735677700 1.905524708078131 1.078128098866684 +1.868714214381825 1.194980990636967 1.970713522936120 1.897751381318548 +1.581438655548554 1.051817069102332 1.862023841730708 1.493085722188936 +init_gen_rand(12) generated randoms [0, 1) +0.022722061293032 0.014476914752158 0.122124756939761 0.584301647229114 +0.869463415631740 0.110606917877002 0.193212205568331 0.679598296627050 +0.022740503638442 0.184246950797877 0.804296423523108 0.739781322527131 +init_gen_rand(13) generated randoms (0, 1] +0.535984342613372 0.457694267735412 0.900698388656309 0.295668930722970 +0.731809260076569 0.596568081442974 0.242172600123957 0.214145052700693 +0.348537097059960 0.596768874288247 0.532006461385099 0.863105268549116 +init_gen_rand(14) generated randoms (0, 1) +0.601479715434419 0.063401545596355 0.639112794629247 0.155619399060625 +0.168639297660978 0.214600675258439 0.729977971513257 0.918494007234260 +0.701473207908439 0.459302858294487 0.410590573010929 0.660590541698988 +init_gen_rand(15) generated randoms [1, 2) +1.384391203136248 1.355206507648709 1.727081991734582 1.431011782457996 +1.860763145826088 1.334360991808025 1.605932906911673 1.281072871037458 +1.500355479067111 1.343007103311341 1.873386836163271 1.624902476841801 +init_gen_rand(16) generated randoms [0, 1) +0.366375648525236 0.623653117083147 0.527965547807329 0.536923729261090 +0.360675435096679 0.579977354525942 0.098889590363603 0.085270015126793 +0.549526703000319 0.660129368139932 0.275955934030721 0.629527778870302 +init_gen_rand(17) generated randoms (0, 1] +0.571033516685347 0.801561141784205 0.387144018237191 0.462337614240274 +0.183045847505072 0.159160289615046 0.650791916938565 0.775624671176864 +0.998714392233697 0.856441607022886 0.853716019974940 0.701770813671765 +init_gen_rand(18) generated randoms (0, 1) +0.596187131129228 0.680763242947653 0.987125180268455 0.176533501418735 +0.770606870819017 0.944869463485739 0.808055067469862 0.541339364586326 +0.563121424243466 0.481499658727594 0.778718069808643 0.124570684486376 +init_gen_rand(19) generated randoms [1, 2) +1.963343696240910 1.705055370779093 1.003619564212299 1.321056693465327 +1.365799237264602 1.962752617148570 1.243807390056933 1.550481876603983 +1.927149285828093 1.083379318451816 1.924904794454879 1.976308349042261 +init_by_array {1, 2, 3, 4} generated randoms [1, 2) +1.172576948108100 1.016530324026134 1.115872658893861 1.331575522171086 +1.023881368758961 1.514728489172135 1.902702203511789 1.301427216149078 +1.300372479211817 1.680793219819937 1.258929783674165 1.288714917459612 +1.641105595348154 1.200999755994626 1.549216880264564 1.936335917342217 +1.515149574696129 1.738974925233382 1.494785902679260 1.115535262925720 +1.014700954669443 1.101368922470177 1.237915889489572 1.583408761641234 +1.302299927800841 1.932581852941830 1.999007450796075 1.378459556343582 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1.102495586458019 1.340027813520914 1.945591138879044 +1.089591476426228 1.624353165358369 1.563684988791301 1.630130036015887 +1.446789107675056 1.110230349578064 1.025986851168343 1.001602425830829 +1.683252647132559 1.651614897994297 1.153527587121248 1.741931148108380 +1.389645666041831 1.202109547162104 1.880595236112617 1.929946035121010 +1.309848291923575 1.121872497840788 1.305899312467624 1.566528900130245 +1.243134175537468 1.042342980054161 1.268213036178462 1.105793460388222 +1.301414391284167 1.362877808931946 1.479129460761306 1.470775067517370 +1.323372296353663 1.882858024739622 1.242648840670183 1.960920963722044 +1.189420862788387 1.775676346942812 1.836962950648764 1.225608444728838 +1.031826660125971 1.223642739166165 1.293719060266704 1.384859239181231 +1.037606670282627 1.463674149543749 1.288069426143434 1.402230155475197 +1.571833329757680 1.525262758238918 1.587315879112924 1.171504815578446 +1.919535276082088 1.816598772910832 1.373445653493135 1.927586246755860 +1.295064929890141 1.747864394215269 1.115319218851927 1.527575939389980 +1.311200438911951 1.774557142973973 1.727842606405351 1.801026243484034 +1.000936931691762 1.637945946838210 1.430655785954642 1.600741279264717 +1.378886518096057 1.689872898843643 1.211890162224956 1.132801535718520 +1.817084541055805 1.658934148941678 1.895529184441058 1.894292815457406 +1.553357732624558 1.436755888407919 1.080206255113111 1.659990565335723 +1.973712536508369 1.353013165015270 1.157193005915275 1.310612678422934 +1.511466402208103 1.620559701056070 1.603250968835484 1.724289193135036 +1.831217606653762 1.011676949911519 1.631981060247351 1.960779016134990 +1.118902874420574 1.843011109516084 1.951585957020156 1.490228747733070 +1.085561315657796 1.131866458432211 1.760216717700746 1.218027261434517 +1.861934237655883 1.673969172294754 1.637431568389643 1.848237040113216 +1.588562834963177 1.993444547076966 1.921353808944026 1.110236899989077 +init_gen_rand(0) generated randoms [0, 1) +0.643063016360512 0.772379213720561 0.502139536072673 0.581533306406716 +0.294056922473006 0.100717033151588 0.867916757201619 0.189776821093881 +0.704339228244217 0.475618425667883 0.453898435144779 0.300133805150727 +init_gen_rand(1) generated randoms (0, 1] +0.357269119061644 0.394853684742541 0.232886767592585 0.390019080993502 +0.606377415398563 0.104336019757104 0.941774158707798 0.959619377087378 +0.665370493773737 0.553229489284144 0.511333970674283 0.374375991711000 +init_gen_rand(2) generated randoms (0, 1) +0.902673877473516 0.901913093025360 0.144960393294816 0.421709738792725 +0.727215190781590 0.049117848077731 0.395687860530620 0.443465976692574 +0.525596880927559 0.878674831807375 0.922594751931055 0.710081397618229 +init_gen_rand(3) generated randoms [1, 2) +1.427902180484723 1.235180227858591 1.893010606122040 1.407520064520368 +1.153852733443085 1.353017930087701 1.249441613372706 1.063728065481757 +1.142097638400280 1.346275436648008 1.020654645507316 1.891889548922761 +init_gen_rand(4) generated randoms [0, 1) +0.362103051997711 0.817734703450394 0.892588787791763 0.735724922115168 +0.337441398135621 0.806600596484782 0.474925726473279 0.457909536500071 +0.453909467716590 0.370397919652925 0.351834743500070 0.274139148309417 +init_gen_rand(5) generated randoms (0, 1] +0.320575989292223 0.782221980596254 0.994230574048375 0.646493455549936 +0.182934842001676 0.419439059326539 0.804733853797186 0.630146430652609 +0.283304572706691 0.551951694752586 0.596651685127567 0.726464212348384 +init_gen_rand(6) generated randoms (0, 1) +0.512245795714439 0.949098909636435 0.304277882494774 0.425691508062447 +0.940024527462860 0.303618133421786 0.659538517356965 0.980428116584217 +0.992602173172166 0.309535512011741 0.799122326076374 0.503161736778810 +init_gen_rand(7) generated randoms [1, 2) +1.791279768504437 1.824059711409220 1.601640841052433 1.839406744853343 +1.706093704685138 1.792589402103321 1.357619712337886 1.886594864406919 +1.791193677072203 1.237635475178639 1.659875755247600 1.782255918015468 +init_gen_rand(8) generated randoms [0, 1) +0.539027783278177 0.350896572513407 0.045805192442340 0.147163615478894 +0.954161027974346 0.937558512762666 0.615966260678639 0.827921743169682 +0.449348302109296 0.823212321889368 0.538337463888570 0.426901349677887 +init_gen_rand(9) generated randoms (0, 1] +0.291582729506235 0.327137879357295 0.517830815155796 0.112106626154593 +0.612171734259559 0.701687536902544 0.471596446781525 0.803776113868638 +0.993144759108313 0.792918393124802 0.992224073158818 0.560509440469829 +init_gen_rand(10) generated randoms (0, 1) +0.906652248252293 0.969008988686184 0.287180486053953 0.941340736403439 +0.845804465799311 0.851709272681137 0.567338308129108 0.018923690263750 +0.398054844532580 0.648240113586421 0.027773695295189 0.411129988822436 +init_gen_rand(11) generated randoms [1, 2) +1.166288744923759 1.289035002956464 1.591654057965451 1.924237717731347 +1.971147945988489 1.779882148077172 1.301744917982424 1.472840297687313 +1.615894199307146 1.443788302565339 1.010514050763960 1.843668764702190 +init_gen_rand(12) generated randoms [0, 1) +0.037188572132978 0.796540980110323 0.785118397351056 0.950075542564853 +0.082585828608368 0.277307284982809 0.785199783813302 0.375537725493582 +0.136201893068798 0.990289994461294 0.064717912677199 0.724424211705538 +init_gen_rand(13) generated randoms (0, 1] +0.942356415514171 0.762315177514493 0.971674221337580 0.509644192975426 +0.463428874186195 0.228231769076783 0.629684091309337 0.364274558739615 +0.711795494091800 0.844459806251926 0.007623040364400 0.449873380705668 +init_gen_rand(14) generated randoms (0, 1) +0.594856417962816 0.426449471504149 0.815065332609883 0.612429056668908 +0.350788091641076 0.557487356775938 0.941466694286134 0.876568805621597 +0.074550394909309 0.472848548484389 0.278339473226804 0.685700309876473 +init_gen_rand(15) generated randoms [1, 2) +1.691991777346594 1.066678571406875 1.257288308507988 1.374950622278155 +1.631560611409216 1.220209640944814 1.670313717921475 1.400620968469163 +1.162389983753056 1.740495069469599 1.178174071747150 1.547171972178561 +init_gen_rand(16) generated randoms [0, 1) +0.279069583034248 0.695119007570012 0.978811839378629 0.855986723646318 +0.884885630716337 0.699520524608650 0.322365188671121 0.272456674845052 +0.285217033652139 0.208415904359228 0.035276027688090 0.546564341706908 +init_gen_rand(17) generated randoms (0, 1] +0.986507705141710 0.991073208331722 0.452541341409591 0.249391967237484 +0.190992932659906 0.025553141925910 0.986229647371841 0.696257848032870 +0.178514809866115 0.539663585863808 0.067902727331370 0.139909326835463 +init_gen_rand(18) generated randoms (0, 1) +0.461143403779607 0.933074765437657 0.329611012429450 0.913844231354235 +0.960408131306147 0.884756232790295 0.083744030675982 0.093922841568062 +0.986018904509842 0.092776680350047 0.761622101354923 0.291321509178648 +init_gen_rand(19) generated randoms [1, 2) +1.109628619724238 1.328720045412586 1.235043984091162 1.700260577583939 +1.995239491033933 1.949870477994024 1.354264858779323 1.839679449502692 +1.208919707518303 1.582313935919556 1.052095151572292 1.599751368959784 +init_by_array {1, 2, 3, 4} generated randoms [1, 2) +1.061432228134937 1.797513181266742 1.014515778872698 1.292515677601426 +1.842217614712485 1.219693001089960 1.091642970346479 1.361251722923487 +1.812429123076032 1.114775857427076 1.236920925673160 1.430780008087892 +1.600676609656623 1.581660327974462 1.080093035886621 1.478370871883862 +1.372868954287661 1.381031660416374 1.743597338143038 1.765996876117860 +1.499708356247275 1.500717034644018 1.227875977543781 1.396877239166685 +1.867291377296555 1.989686946870916 1.728230714599321 1.603799028485205 +1.666989573753586 1.817430340160532 1.742554491376986 1.454382666376028 +1.273761735284682 1.662656364867116 1.343724666265991 1.412976188802077 +1.869526098913638 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0.924735636004535 +0.642876178923654 0.135658049473512 0.614181131134505 0.758658396495576 +init_gen_rand(1) generated randoms (0, 1] +0.880645574886293 0.087582384819670 0.496821329757135 0.128745342494544 +0.467567197430918 0.436374482624768 0.899091469109679 0.001594789681223 +0.210988720282107 0.643085780983058 0.286963132782255 0.013824516579797 +init_gen_rand(2) generated randoms (0, 1) +0.111463197826414 0.981070652873690 0.273251005444180 0.667092155512465 +0.067797604041130 0.685302203135360 0.488955903431841 0.086343896919829 +0.336371017018281 0.035318749911809 0.386868055837259 0.599611474561840 +init_gen_rand(3) generated randoms [1, 2) +1.255012198808926 1.875325181548898 1.090817069386308 1.114317519239395 +1.361744453795217 1.820994567703168 1.844381146874511 1.618865371694159 +1.673557508016053 1.091709989515746 1.126079371575098 1.496618495643371 +init_gen_rand(4) generated randoms [0, 1) +0.525870252184132 0.756509091477380 0.909241411895205 0.143911115035140 +0.698929653706998 0.669030576065301 0.241744340735132 0.919797334192990 +0.028705520493362 0.218683037894924 0.456442573349723 0.539417856942046 +init_gen_rand(5) generated randoms (0, 1] +0.576676137904379 0.994304310329450 0.127959185148864 0.178972277952344 +0.501233068055063 0.859840653012468 0.546161779037789 0.805380602145160 +0.381324178276622 0.229028865043289 0.666794531244068 0.821723842976139 +init_gen_rand(6) generated randoms (0, 1) +0.873475838401079 0.583121226481617 0.576856073100122 0.257034220291161 +0.880349747064963 0.605268659164597 0.689410341721138 0.966492486436186 +0.534806053406845 0.900572098810981 0.597121162382788 0.133791573492792 +init_gen_rand(7) generated randoms [1, 2) +1.733846496352147 1.944933364309216 1.534366387694546 1.349854297375459 +1.571154261112555 1.863253614248477 1.864195640054161 1.785226829892599 +1.379886866798434 1.483001766555189 1.866336010420762 1.423589988625517 +init_gen_rand(8) generated randoms [0, 1) +0.016149986809160 0.240896551732740 0.220205411033437 0.600118317624624 +0.213730648540553 0.952832658803485 0.132273329757838 0.863778049809414 +0.906936863919466 0.961619277372525 0.400525759102315 0.649827956416327 +init_gen_rand(9) generated randoms (0, 1] +0.897952026920904 0.203799481453592 0.308102370173474 0.422219844527180 +0.443487283107153 0.273078034367036 0.891095544481263 0.504201644104074 +0.860515602119610 0.099756040933477 0.665909380063383 0.712374311203949 +init_gen_rand(10) generated randoms (0, 1) +0.683327910427992 0.372356849192171 0.497061202773271 0.605407023484072 +0.511747659988026 0.001673057933136 0.552274515327338 0.043245882396125 +0.712391906919602 0.193479812533390 0.954009587317864 0.249432912513315 +init_gen_rand(11) generated randoms [1, 2) +1.515116984509329 1.443474140205448 1.744243096579810 1.174981598119548 +1.591230822876110 1.891149667922797 1.234649637868734 1.689416942120393 +1.597133636547374 1.393254123902199 1.416543312374616 1.876116444637407 +init_gen_rand(12) generated randoms [0, 1) +0.481774634082841 0.623613096403768 0.433948476365912 0.405980944986896 +0.266345318555654 0.029670935213201 0.872367522063317 0.179517403785763 +0.826284520382318 0.305580349258039 0.860195447330739 0.696284974815308 +init_gen_rand(13) generated randoms (0, 1] +0.736509336456002 0.651082007713346 0.555021508844934 0.885753886252467 +0.333120182106870 0.993548773174568 0.987772890836659 0.431302442805909 +0.705413176872964 0.481900388799174 0.225302536580132 0.920897894303691 +init_gen_rand(14) generated randoms (0, 1) +0.097538698136809 0.667918617856063 0.665514947795676 0.987487457310677 +0.852303628338015 0.865926887506882 0.741215889765148 0.133112334043015 +0.333880173444365 0.147834523328185 0.207424230300744 0.079230766305846 +init_gen_rand(15) generated randoms [1, 2) +1.685473600093543 1.832764630430519 1.354009350422052 1.741020317316160 +1.597593449420559 1.830141846144645 1.358506431507488 1.275519467960031 +1.046966095225627 1.536343990557542 1.558416456717071 1.073677139349694 +init_gen_rand(16) generated randoms [0, 1) +0.976137909126447 0.107093727331627 0.542120470952989 0.971703069457611 +0.306550103262598 0.446553984418768 0.620684556774153 0.553453780422661 +0.613690074438016 0.958374645802272 0.865352204619699 0.057389301498593 +init_gen_rand(17) generated randoms (0, 1] +0.483981085511368 0.254441115776038 0.335092686732900 0.307048279097139 +0.367845049818382 0.013859536137113 0.635616755317694 0.041197496379171 +0.729539767320051 0.434411980620260 0.102507984715114 0.258142362745437 +init_gen_rand(18) generated randoms (0, 1) +0.335740132995339 0.299313426339728 0.439248668581697 0.325201563728406 +0.155819947798202 0.910642358668589 0.971275576846953 0.405370275515955 +0.973829163404636 0.816003162109168 0.866979619992709 0.609717360529922 +init_gen_rand(19) generated randoms [1, 2) +1.215781221856222 1.258174726278870 1.334549825010923 1.347468216542527 +1.711200914089176 1.865993942546754 1.482519712342379 1.122766670733852 +1.439184830020622 1.950977199236228 1.366172637840221 1.796301634657450 +init_by_array {1, 2, 3, 4} generated randoms [1, 2) +1.426834076845924 1.669573575226984 1.161348943376632 1.218790313522451 +1.409859819741837 1.507585068928725 1.157665160870239 1.763320166432968 +1.244116037727320 1.471631443373209 1.548950785012095 1.631712105867313 +1.646854415248517 1.441505070427991 1.779880230398589 1.265250259948116 +1.241834722506462 1.291436728456658 1.301293539339929 1.330800599996647 +1.570261068928472 1.963194799607127 1.537283415577270 1.981089162219523 +1.921418222379268 1.969460436090207 1.724652994742112 1.244719458395128 +1.759728417498294 1.775610930677769 1.022380872515206 1.782766294549358 +1.831395483035109 1.642705713989280 1.010552292294011 1.355409829832131 +1.907344376547058 1.658109050575550 1.373479948584540 1.279188769641363 +1.744586560095084 1.017850971812924 1.040170071312174 1.215893821833225 +1.923400738483353 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+1.077720947562296 1.600390139604202 1.530726169271047 1.607848147375653 +1.467433891541293 1.601680870611710 1.067004220970051 1.494538039443192 +1.047714202290918 1.748109415248243 1.535172394787384 1.970013914720250 +1.813463303128258 1.227904153533871 1.123088637888006 1.069964695339814 +1.492131560436642 1.437614606460966 1.377227182290168 1.656394366986875 +1.731967358087529 1.577117694169962 1.260093325721778 1.375491161295490 +1.013811550239444 1.395363435145228 1.993745444563872 1.174086059044503 +1.508525310709437 1.324943180960664 1.205378417140666 1.169420588916052 +1.665537747751983 1.635983901189031 1.879591759977799 1.062765801016780 +init_gen_rand(0) generated randoms [0, 1) +0.848467254476375 0.413646507199983 0.486591408942830 0.582156975025284 +0.928663459302914 0.365649297758669 0.553823796912988 0.070252440573769 +0.342997361876896 0.971968352928051 0.104029745399673 0.727216770264476 +init_gen_rand(1) generated randoms (0, 1] +0.748293174711806 0.571559596236355 0.605449252511300 0.924790087049302 +0.432668914877712 0.484528049554209 0.583985876961072 0.902604870753081 +0.508513467184131 0.037246543116071 0.506215060982769 0.084759451676836 +init_gen_rand(2) generated randoms (0, 1) +0.177597622485633 0.280725302450640 0.691476536784555 0.674526436218482 +0.085567171686030 0.630864738252637 0.730705882297407 0.557424024173655 +0.732776059694373 0.284263090359834 0.262067699892716 0.494287683239405 +init_gen_rand(3) generated randoms [1, 2) +1.072342045146711 1.869169978342095 1.431380333949552 1.204911096414455 +1.850506758528621 1.263179494162272 1.011312397015561 1.937576928860709 +1.656298194634011 1.555055514657424 1.946310040529188 1.714119181598159 +init_gen_rand(4) generated randoms [0, 1) +0.077725191809740 0.780831587728510 0.772916025794393 0.068834288045967 +0.421741118568716 0.467602893283273 0.549356513331837 0.609045342181351 +0.316447786909831 0.506324930125674 0.692614149697598 0.214725533634785 +init_gen_rand(5) generated randoms (0, 1] +0.942151360752866 0.188274482907469 0.142862007276750 0.011090370489097 +0.248646021404350 0.523284252896761 0.125414699807547 0.515195642656920 +0.416841787731485 0.247377326768320 0.651179610091391 0.587075719922914 +init_gen_rand(6) generated randoms (0, 1) +0.579697104608467 0.165958379308153 0.198000725840494 0.294349512679861 +0.835771252296934 0.683173513898513 0.099256139321365 0.096631663627321 +0.258821348138430 0.217743929078501 0.803121448664250 0.823271578568309 +init_gen_rand(7) generated randoms [1, 2) +1.577177423327097 1.992616620422174 1.351753398794903 1.011685522155414 +1.619239721758005 1.081964169535228 1.248044517974649 1.531131778272782 +1.881988795840629 1.232761654869638 1.142276023151095 1.422607831847451 +init_gen_rand(8) generated randoms [0, 1) +0.059436806120502 0.337837796528772 0.103400163156252 0.775682358808069 +0.562064743882912 0.870522826397812 0.788248303409689 0.917823820829051 +0.775176460689182 0.152266463536411 0.357386177658874 0.534079736745382 +init_gen_rand(9) generated randoms (0, 1] +0.388683205886998 0.059302126317897 0.702595111719539 0.560080208899014 +0.350277445694358 0.382128590129136 0.530399903358921 0.557342101717063 +0.465835513315297 0.813352644039902 0.395308304126997 0.428716670539496 +init_gen_rand(10) generated randoms (0, 1) +0.796037476772650 0.610610187621779 0.783983615969344 0.143872144247263 +0.654987701249681 0.889781055329549 0.506771420516338 0.813053248461107 +0.991351273609536 0.353630081109741 0.267949932391627 0.699471255455680 +init_gen_rand(11) generated randoms [1, 2) +1.010909887724959 1.656572324783382 1.288180869531875 1.859992410126781 +1.184455714951074 1.271250282370553 1.370058317035991 1.146161056060378 +1.762975124236752 1.292544396490388 1.563704373603145 1.075576480370063 +init_gen_rand(12) generated randoms [0, 1) +0.708383497604256 0.730761040301503 0.334024805341733 0.746039944710053 +0.915819369452250 0.812924564430275 0.791601145987631 0.001035589604235 +0.571132327007641 0.059230871600088 0.711408220363501 0.675261294841229 +init_gen_rand(13) generated randoms (0, 1] +0.880581902659550 0.837876587429329 0.485498548768492 0.327498204148388 +0.586264215522657 0.414846774119610 0.825470981313036 0.359061896129010 +0.087552125884303 0.740101842457331 0.309351543052519 0.728066209421850 +init_gen_rand(14) generated randoms (0, 1) +0.923138726624952 0.469532766594497 0.632270259481927 0.205564610552960 +0.927082076237906 0.299224699383825 0.359578503156918 0.490402305874778 +0.728615693055077 0.312558190624747 0.359781675794546 0.752836816563380 +init_gen_rand(15) generated randoms [1, 2) +1.140627479020712 1.084786158536458 1.132239343463171 1.350307546397862 +1.380563763202770 1.351370307172073 1.264541047094480 1.346744433657995 +1.407373921619129 1.001373684886554 1.213052611255335 1.886710415587364 +init_gen_rand(16) generated randoms [0, 1) +0.360858921657210 0.729078653124164 0.901910061120294 0.737918552985219 +0.794263888042076 0.806223468587332 0.974052290398341 0.658750204624069 +0.616887118950641 0.529467140662471 0.248762815602353 0.262824301133219 +init_gen_rand(17) generated randoms (0, 1] +0.031203383632855 0.688536004862123 0.230036913486180 0.207170199851598 +0.588672815313508 0.836797870585944 0.207522798388149 0.329127118654156 +0.432391662554202 0.685332978151205 0.107134687508995 0.652511082310657 +init_gen_rand(18) generated randoms (0, 1) +0.124163134096911 0.195010389501341 0.633799000387237 0.066310451867196 +0.302639065333798 0.997730856377200 0.705770245505459 0.266586450558278 +0.302145991358288 0.485848525384480 0.377247864710428 0.211284546780617 +init_gen_rand(19) generated randoms [1, 2) +1.337567399824463 1.486694566841658 1.304594295729453 1.704142159671544 +1.243635859376063 1.194462526403072 1.035988944153486 1.212208650426627 +1.397920098341323 1.882254395400537 1.117078744617056 1.434100253869732 +init_by_array {1, 2, 3, 4} generated randoms [1, 2) 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1.028616400855786 +1.643035446284006 1.291123331005827 1.121809832553192 1.199192856952211 +1.784217807027659 1.973937742186325 1.799409605823858 1.836210357979325 +1.426874350809040 1.005211234058827 1.470544460725735 1.349483230173959 +1.071927297806407 1.902432911264583 1.456817772395522 1.144266403876628 +1.653204612993161 1.702643793462855 1.452464749746820 1.811544945044856 +1.302660667303060 1.006385204933988 1.096558730716881 1.529703008886315 +1.554871928843149 1.751419063998112 1.002057966435271 1.991901956592364 +1.226664400749208 1.650879060111153 1.511784737349947 1.203652219330403 +1.806938352257582 1.416239745685956 1.741637296653365 1.378328500695861 +1.707468730905402 1.379428338651053 1.046908756883947 1.648388276627436 +1.572028250988049 1.591402565310668 1.492315517217602 1.194033039777436 +1.121794662452212 1.736481535066753 1.061004860681597 1.980329013709233 +1.857835114761316 1.505484215413226 1.132100210375277 1.700512166449060 +1.774303365287700 1.430487490851686 1.145025882863047 1.224092932012995 +1.116668975504566 1.509681544470995 1.960647022246499 1.410670756798434 +1.778404712046845 1.302965875486441 1.004527791646426 1.278635146256208 +1.405754052222326 1.073406451157362 1.400476009833673 1.714631429357681 +1.733053807758147 1.328284588862131 1.620819094194692 1.162474639648339 +1.863287413895159 1.651488223648670 1.461225748933028 1.794453541604570 +1.730456345586420 1.805391570851956 1.633920611227117 1.384394789150328 +init_gen_rand(0) generated randoms [0, 1) +0.039141198330724 0.240142890878554 0.209955588717310 0.236112916061619 +0.573609744512888 0.395123490651293 0.812094386786663 0.972142771907627 +0.661852338311814 0.561535645334802 0.291263099916129 0.621868802307074 +init_gen_rand(1) generated randoms (0, 1] +0.197401825552436 0.450667789853425 0.949077153602325 0.746101466565815 +0.374044214892803 0.203220825359265 0.315142533420788 0.000972952474337 +0.528170849943415 0.511750723153281 0.736971877918357 0.775180059678772 +init_gen_rand(2) generated randoms (0, 1) +0.427667673034137 0.114400215101537 0.032119928592253 0.255012682037145 +0.355448733065872 0.188020506093574 0.062619018878574 0.402188885491065 +0.660402037271053 0.932882881654048 0.986571493440761 0.575033370781814 +init_gen_rand(3) generated randoms [1, 2) +1.605915781710681 1.647244358909601 1.254232346519736 1.085959492779551 +1.352860166249382 1.994299975846146 1.586137829445560 1.649591164754850 +1.495629716325686 1.700105207379521 1.130381728439935 1.848159368566670 +init_gen_rand(4) generated randoms [0, 1) +0.238034111259992 0.888061286658451 0.862449834293604 0.066013370194657 +0.454160163257894 0.549218924884145 0.714536859506758 0.598983253772769 +0.330530003460256 0.181600268795437 0.084828648251119 0.253899928954298 +init_gen_rand(5) generated randoms (0, 1] +0.701876480870822 0.439288092349092 0.196861761522124 0.225529182201355 +0.513841365467117 0.812782297385214 0.943515794309134 0.728688713799219 +0.550086818407231 0.159141148268531 0.708650807287641 0.555829403967039 +init_gen_rand(6) generated randoms (0, 1) +0.477466803162719 0.974495445245670 0.354529903885188 0.785219142885805 +0.218041032218533 0.321280564574248 0.059430242716206 0.557517726072402 +0.646310724036336 0.214381751071967 0.823112174560962 0.233562918821059 +init_gen_rand(7) generated randoms [1, 2) +1.320570959340211 1.577820287396313 1.888528766674804 1.599916133592814 +1.882620481758533 1.703005271719497 1.970766024252903 1.653379526127726 +1.602754672635726 1.972302690830004 1.360349937530974 1.018367692159037 +init_gen_rand(8) generated randoms [0, 1) +0.389305095734386 0.293795385032480 0.824471116809770 0.713132951231938 +0.315282980920242 0.680652513317100 0.529348121720663 0.204238271222364 +0.656366865037213 0.263189542120189 0.309634761782333 0.849148446335754 +init_gen_rand(9) generated randoms (0, 1] +0.023742037201143 0.097817986094275 0.212028098657713 0.488796770220919 +0.699438932294896 0.124125269982973 0.631981590554948 0.599189707334417 +0.414231330009421 0.003200281601159 0.309005613295406 0.613944565103664 +init_gen_rand(10) generated randoms (0, 1) +0.366581169365578 0.132306137250225 0.303113209859658 0.942349397812930 +0.985650763418516 0.645014809690707 0.838068410996888 0.144623334977467 +0.760804985612095 0.993776960867864 0.576849813965344 0.714302890228335 +init_gen_rand(11) generated randoms [1, 2) +1.112505574020623 1.294372207693334 1.045222923489112 1.987856657469678 +1.064591329672131 1.833230679444852 1.621580734728720 1.666839500196974 +1.676721086595095 1.264691217189676 1.483640691057159 1.506094145971925 +init_gen_rand(12) generated randoms [0, 1) +0.936155301433925 0.359270189551617 0.414582052821748 0.243000364705316 +0.758183339532466 0.236961638976871 0.289072189183471 0.759861901384338 +0.432451490068222 0.938553980678281 0.025994903250097 0.408491070338117 +init_gen_rand(13) generated randoms (0, 1] +0.805350001345456 0.409526279934147 0.524297575295026 0.974284399305928 +0.881837324886245 0.013311399270564 0.965265460793185 0.329147241208287 +0.642238290615810 0.508826151681757 0.888269880227152 0.217972196613126 +init_gen_rand(14) generated randoms (0, 1) +0.697836734853999 0.019927261099530 0.559811595873184 0.823629195963737 +0.977841885903914 0.597673600697835 0.650607241567713 0.351049405232736 +0.221740602825167 0.579057119299789 0.994956203385833 0.948871688306084 +init_gen_rand(15) generated randoms [1, 2) +1.489799007574679 1.811428537048644 1.703031967018970 1.603992987162570 +1.464644244443203 1.837018336726886 1.301509018842335 1.696721503366149 +1.353697989034858 1.036816097847184 1.750096806960109 1.198966580910889 +init_gen_rand(16) generated randoms [0, 1) +0.568400348480497 0.207728900569780 0.166259744101853 0.402870146352962 +0.586412021358490 0.708367941417526 0.955922418811199 0.040110250748239 +0.630730577123339 0.341876190246356 0.466558538026659 0.833574901219682 +init_gen_rand(17) generated randoms (0, 1] +0.846985165152819 0.774433071769977 0.601518580531997 0.241786773256417 +0.604742063883701 0.576118711236220 0.044924777040066 0.256765771772177 +0.888223853605954 0.692405844297021 0.383224119688446 0.834190267882152 +init_gen_rand(18) generated randoms (0, 1) +0.150898153558084 0.894074805505165 0.713160196894030 0.433402533844206 +0.875665938667556 0.416141379216622 0.223487786074882 0.449550667994502 +0.905850613883171 0.163447403529844 0.390164897666491 0.056743596941706 +init_gen_rand(19) generated randoms [1, 2) +1.488984435176724 1.717467778659574 1.546178299359787 1.752484902683245 +1.758961554059368 1.806181578584397 1.739950312343025 1.426374345111599 +1.325059528213815 1.955888538600641 1.493838013991883 1.717447854592225 +init_by_array {1, 2, 3, 4} generated randoms [1, 2) +1.581784220574283 1.375490735919011 1.230434027335453 1.157674798129142 +1.924926201763689 1.503346509861353 1.851044508507724 1.402844112986903 +1.419028594944477 1.928667341232300 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1.340423309366027 1.305672544645455 1.699204975022547 +1.767326786295079 1.203251613290061 1.298617440492849 1.616359849941248 +1.073513936837788 1.889335610811508 1.284941441361385 1.625660649464769 +1.497908833559103 1.489632227708114 1.153018116471320 1.384300814694080 +1.027685043899209 1.696262938416163 1.821437710680605 1.774786459680590 +1.395057910122417 1.471557975639997 1.131552015170000 1.557536472359046 +1.958904407669585 1.573068947130494 1.109974056690725 1.722701393477491 +1.238434442254235 1.718410419391521 1.636146754592690 1.849424301234237 +1.430696254533277 1.229235004550286 1.718215496402949 1.568946085155499 +1.926732890480011 1.609275706999865 1.518190112913469 1.695825578241954 +1.509761382441192 1.484429831497018 1.102136808680941 1.438581232881505 +1.264685432311359 1.068291458484730 1.842356840132540 1.021170556697952 +1.457766247070482 1.921090402630861 1.251233281297548 1.883367862091927 +1.775476838763982 1.456566957097917 1.930026792319159 1.552450218629154 +1.257970145603132 1.830165695249627 1.626379730494144 1.700827727206771 +1.835344570487808 1.779260242308986 1.336690013166618 1.265150884129988 +1.474744081272373 1.487120418943298 1.030502169026391 1.390506144850594 +1.152379821634836 1.880783498644635 1.027204813177287 1.314297170367488 +init_gen_rand(0) generated randoms [0, 1) +0.139094106868506 0.906912332044604 0.155279971572842 0.816240119921928 +0.968538028170452 0.705944581231948 0.918194220532118 0.812205985231770 +0.118324298619098 0.725613776800635 0.384799205428535 0.866053809172827 +init_gen_rand(1) generated randoms (0, 1] +0.473712274567619 0.566741638779296 0.920088431747615 0.505261534218621 +0.021145509690642 0.944433000858919 0.068291972887625 0.451283621616343 +0.785832391132814 0.261754953216587 0.873985947332752 0.849153416108939 +init_gen_rand(2) generated randoms (0, 1) +0.731729216395445 0.256644152001933 0.984158103625668 0.081110542054178 +0.210706093471697 0.198640186645040 0.993075047523048 0.797746702779009 +0.852662061025464 0.196140937219142 0.421017698828807 0.913079853400022 +init_gen_rand(3) generated randoms [1, 2) +1.569174756436084 1.816216102672822 1.187826825134754 1.047187222060821 +1.127008251122564 1.069457995787952 1.895199535170333 1.337773877522005 +1.759908929639046 1.828993965708126 1.816835218073901 1.019097058912647 +init_gen_rand(4) generated randoms [0, 1) +0.754749569911410 0.008927487776123 0.240459788210770 0.155385925322632 +0.770344585375962 0.678314238770471 0.202131886460912 0.594486949053829 +0.263694708877532 0.257987730130051 0.663709965802413 0.264153291575777 +init_gen_rand(5) generated randoms (0, 1] +0.408002049515769 0.712754812153526 0.552523506852353 0.321747689663168 +0.136321242095236 0.838489992139453 0.592452793860149 0.649620583057740 +0.133335256358435 0.591455455803913 0.062147373169373 0.713238289961749 +init_gen_rand(6) generated randoms (0, 1) +0.075822962254969 0.292954618840790 0.434108696581172 0.177871534903399 +0.414629379390554 0.570773669676153 0.925043266909783 0.259192089244874 +0.068118267297325 0.563564356449122 0.595979829878863 0.369355127578081 +init_gen_rand(7) generated randoms [1, 2) +1.235570621764626 1.062145978522382 1.332997992359004 1.358120098378900 +1.360455642798055 1.507252101010870 1.910268362011839 1.579259194654447 +1.703582371514360 1.701915630457764 1.058646337110003 1.939860183249589 +init_gen_rand(8) generated randoms [0, 1) +0.106893240603631 0.129367605272507 0.293124712390338 0.655339318341164 +0.122653435111586 0.762940834925811 0.879336534774384 0.590430747313798 +0.918636257629229 0.425168637488013 0.534163786341316 0.592662290427423 +init_gen_rand(9) generated randoms (0, 1] +0.638276650264500 0.501896354886873 0.781653396777548 0.368608941892943 +0.519059997544925 0.022820190596937 0.872091700215982 0.790328816421325 +0.741920330593523 0.005900818742439 0.345078308149616 0.277367524139337 +init_gen_rand(10) generated randoms (0, 1) +0.523175425329337 0.374989963169180 0.516529476706044 0.720992141036281 +0.645571605357432 0.581071873106482 0.836023547779053 0.027613343414110 +0.426641084834995 0.445291687946455 0.300837904814435 0.464566781151699 +init_gen_rand(11) generated randoms [1, 2) +1.115792741804887 1.296127063029278 1.295506068724647 1.800680450237698 +1.168938652924101 1.797132765063683 1.087436442178690 1.220124830399251 +1.300005980622459 1.538770615472076 1.971545288919785 1.235857973452984 +init_gen_rand(12) generated randoms [0, 1) +0.444856480706895 0.204292323324923 0.479168426490390 0.430983585431922 +0.194315760007311 0.800211738941005 0.295177869873791 0.867590803851942 +0.857088555779384 0.237695299409965 0.965532391636972 0.643509190391377 +init_gen_rand(13) generated randoms (0, 1] +0.983503021131606 0.766290688243351 0.349177789976909 0.892183494110349 +0.236609790886608 0.977588846134050 0.010367605963536 0.599384038745223 +0.914534343247412 0.623983383505368 0.463027859363480 0.921966746622112 +init_gen_rand(14) generated randoms (0, 1) +0.454891232836276 0.415368168157117 0.405532901443073 0.943687703675395 +0.124032641026607 0.126225457849525 0.117076863705178 0.343787630728983 +0.414848595148317 0.717418762937913 0.268987774818339 0.913989813638567 +init_gen_rand(15) generated randoms [1, 2) +1.521364119609258 1.562705187406340 1.651393465274851 1.794325037121499 +1.723459821653745 1.014635190226326 1.872056428083200 1.845783704116238 +1.048082775555714 1.825993195730788 1.997220514139270 1.264529497676716 +init_gen_rand(16) generated randoms [0, 1) +0.082807078780321 0.140063180614847 0.483432376446694 0.275294957118664 +0.807907807682373 0.504035623580239 0.531458017200325 0.659917557505638 +0.909711893442439 0.482612269187351 0.215197195035269 0.911604879268434 +init_gen_rand(17) generated randoms (0, 1] +0.067326678918456 0.961392332546084 0.738159338308318 0.172624002048305 +0.408467118051411 0.916434866728816 0.631858060869290 0.149692901355434 +0.072517346009317 0.411996350511608 0.334324514485271 0.528999059666306 +init_gen_rand(18) generated randoms (0, 1) +0.071400585539376 0.993838702660660 0.004090211076572 0.064981200442632 +0.023809496571941 0.570407949590940 0.550771164903151 0.927799003163756 +0.112063934251740 0.502480856633010 0.175479421460867 0.210557079198552 +init_gen_rand(19) generated randoms [1, 2) +1.512414732035816 1.496401373580486 1.749495642589850 1.426412693187744 +1.880215221679959 1.220827628391872 1.612819622359692 1.755393905791940 +1.614729457070734 1.557966906902604 1.522837322513267 1.389240902177411 +init_by_array {1, 2, 3, 4} generated randoms [1, 2) +1.006640204836158 1.345125096734139 1.502078534995522 1.966610571710784 +1.779233808067944 1.873264035880906 1.456949337635997 1.526976480878865 +1.859688846901620 1.745121297735107 1.264199890933762 1.196985910233087 +1.285153658721687 1.548801410473566 1.174079518851053 1.349961421042465 +1.779537040044733 1.835434637118791 1.079576148403005 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1.670430657628460 1.971601539315697 +1.929334616413330 1.800350443663704 1.061746866011578 1.659305578103899 +1.420654311978646 1.027650323796126 1.330026535743516 1.003292695581133 +1.043859020068490 1.456078575947540 1.260321723421226 1.942751328224730 +1.399298540600751 1.866971015840846 1.304614382286771 1.793204836868304 +1.215559781738553 1.052203411380496 1.171130355041017 1.509212019541705 +1.568778536294740 1.113395190932228 1.526354061939815 1.205986685184249 +1.119970255677142 1.685471803455462 1.447454592108054 1.011641579402330 +1.778919380616612 1.011728757237588 1.968864829268213 1.482622126323345 +1.849568556699067 1.647010742261713 1.537461048016442 1.385360148318048 +1.654030886545950 1.084344994178660 1.850423823806881 1.613520167705219 +1.862675131528630 1.720710565371237 1.340527204250619 1.954104622368203 +1.436838465210766 1.634860577350252 1.375516747135202 1.656704385493950 +1.106176082435342 1.922746735384920 1.125599074637101 1.906216448343847 +1.025853165052263 1.566299182797896 1.871072026615852 1.236235014443076 +1.087453250789865 1.867858361586789 1.818929050930532 1.951288782973412 +init_gen_rand(0) generated randoms [0, 1) +0.793642230996037 0.580459783108833 0.438188768785251 0.176939156694645 +0.840219755016754 0.401937324294332 0.426098229275984 0.773632659022513 +0.766098608999247 0.449949418002488 0.809308049559321 0.063357031921013 +init_gen_rand(1) generated randoms (0, 1] +0.455599401862604 0.276786278406747 0.869442513164464 0.256607551261946 +0.824800552710095 0.164040149304383 0.600438102787136 0.045818148271225 +0.238590556501327 0.426445445190838 0.320473574724940 0.165133443903563 +init_gen_rand(2) generated randoms (0, 1) +0.097003607168711 0.452063515485125 0.574374247932251 0.862981339415242 +0.301932030445346 0.888712980830559 0.765145548640859 0.326371172202567 +0.853346153428999 0.573297805102008 0.377566944105148 0.253946017233244 +init_gen_rand(3) generated randoms [1, 2) +1.950842848638729 1.739813491619752 1.305970834641442 1.942324009648197 +1.893015162185985 1.234881893035222 1.081884613902705 1.850322973566017 +1.544074805093204 1.889964982258590 1.227558590022788 1.261152059589819 +init_gen_rand(4) generated randoms [0, 1) +0.669432091487025 0.004444958979189 0.282915894792966 0.071375313603914 +0.298714873919592 0.060247676085934 0.478856494873675 0.430035690731896 +0.157791077810947 0.365985808229946 0.853418554020144 0.947353016854962 +init_gen_rand(5) generated randoms (0, 1] +0.066107910511039 0.901549925619374 0.671960468266555 0.810772722904134 +0.418841509726952 0.376227608337679 0.026321612923461 0.850091179928447 +0.153054494452446 0.095857583968954 0.755008836343088 0.674201318942030 +init_gen_rand(6) generated randoms (0, 1) +0.335884064841178 0.307786462454134 0.305033856086343 0.547822370011282 +0.970908670463435 0.320126432318584 0.574977250948931 0.846676611829591 +0.128534264758735 0.303386284436072 0.421452679680636 0.590292404700590 +init_gen_rand(7) generated randoms [1, 2) +1.373069468408223 1.212840627463321 1.732272571865576 1.316952103739000 +1.534116498696132 1.229999084347105 1.204247683860995 1.330633147441771 +1.719996275368882 1.681032826908220 1.438714758149172 1.118939773455663 +init_gen_rand(8) generated randoms [0, 1) +0.051131020685500 0.027923802063273 0.282215831727000 0.908917355131307 +0.430579055263665 0.019193403218414 0.203168998623389 0.413756999872521 +0.817964695906104 0.154360999511044 0.261331895047858 0.378103593567628 +init_gen_rand(9) generated randoms (0, 1] +0.720560167721030 0.949359277137631 0.855200170729020 0.629467269255424 +0.807769217908019 0.563367819613422 0.242766529488850 0.813691680872244 +0.403630969230066 0.450298240597618 0.105884766977242 0.162788154388353 +init_gen_rand(10) generated randoms (0, 1) +0.076727791763944 0.547836462886562 0.135883327281024 0.852154436655138 +0.705840860943469 0.558769261305778 0.294789290097140 0.456624388980984 +0.589976763469014 0.372815935228584 0.156611070909337 0.848755813687961 +init_gen_rand(11) generated randoms [1, 2) +1.816105306277620 1.288826685851095 1.189014044577139 1.739203371002264 +1.525946316624243 1.620200208688409 1.096321506609140 1.511121413381151 +1.540994237109195 1.358693219959760 1.902407966880989 1.263638872771530 +init_gen_rand(12) generated randoms [0, 1) +0.076116807775669 0.667044720054686 0.787931372352241 0.516425979485220 +0.380004284286166 0.426403036087206 0.849059805069711 0.604539401610475 +0.784147055348552 0.274206046080719 0.010610626638263 0.067547441635300 +init_gen_rand(13) generated randoms (0, 1] +0.143102490368023 0.117248721906391 0.504318419452768 0.724314512484266 +0.707617107774408 0.305025797340337 0.257036703462120 0.231580713710426 +0.908953909389886 0.641723413056777 0.561355428279413 0.954352879512851 +init_gen_rand(14) generated randoms (0, 1) +0.950316009492236 0.706637380587793 0.643301442482649 0.916244261764853 +0.680434167859570 0.430146583284165 0.425880761146329 0.758796973669367 +0.736483395980624 0.758011251700097 0.440498657157682 0.777585335464516 +init_gen_rand(15) generated randoms [1, 2) +1.628007395853985 1.278826502456614 1.955703748849038 1.103314051647344 +1.039570703054598 1.769183409403025 1.900011772128743 1.656191078670576 +1.658101614853339 1.424571367510453 1.834557451221619 1.445702498614535 +init_gen_rand(16) generated randoms [0, 1) +0.636302685567311 0.137218952410404 0.007397705826784 0.523895709537629 +0.602910023050024 0.240543263292935 0.634319919422312 0.131365893659735 +0.385999467922057 0.700459674947863 0.775130918686616 0.028540765100275 +init_gen_rand(17) generated randoms (0, 1] +0.941373301584230 0.996171121340979 0.318712266064640 0.717548923920958 +0.382434151774347 0.590493623880302 0.322560930234921 0.594887752562670 +0.909515946892514 0.248117175650185 0.139172437255377 0.874952175573300 +init_gen_rand(18) generated randoms (0, 1) +0.935728569778681 0.507806332856926 0.962642239726788 0.956678348431450 +0.708660983797889 0.263137359554023 0.965180426629791 0.401404606560230 +0.653468421736125 0.346855335226885 0.259452300873960 0.465728685729463 +init_gen_rand(19) generated randoms [1, 2) +1.543400249206202 1.186477339009993 1.076339906993456 1.714810461683558 +1.250448728003198 1.807191896866885 1.607728935858536 1.697546478305597 +1.834286898872765 1.988720625823551 1.422006850001651 1.553534699959493 +init_by_array {1, 2, 3, 4} generated randoms [1, 2) +1.294587381800539 1.396369648296829 1.944771208119970 1.474093734316382 +1.877399023972375 1.046106053985895 1.494697948710086 1.334871252071797 +1.253811781028442 1.398238065738080 1.237315592417754 1.968360801582737 +1.585325505397874 1.980732525959670 1.507064752518947 1.716869906584104 +1.144197621009438 1.687077803846495 1.090247794989572 1.425330537257617 +1.104265260726256 1.715797930326763 1.457066647299533 1.403609274589408 +1.258517428747915 1.976735620171774 1.508597846133364 1.151121170410565 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1.971007137354729 1.144368812928649 +1.037099779802150 1.117912309767158 1.339074553117308 1.562203135477072 +1.982553916333266 1.283679861274929 1.793649104937658 1.625765628185919 +1.047150414715505 1.806534796386063 1.454569699804843 1.302495837988271 +1.947180647462563 1.631913084885116 1.716241003002192 1.717274197263464 +1.145874811662342 1.844021276911700 1.286356224226028 1.448231440525136 +1.141954512028515 1.039613210238601 1.817476992077502 1.760382139897084 +1.407750553164968 1.812569974085484 1.641161156149672 1.697422055978861 +1.714829775305783 1.929785937645766 1.716447879866937 1.854268101934073 +1.121911630576161 1.197517895350150 1.004743448646769 1.072065041071708 +1.119370389217647 1.899323694833023 1.718457746283301 1.684008126179527 +1.319137836033135 1.447767810409670 1.012599481115021 1.493847303394084 +1.523019009170983 1.739806740014410 1.417433842651163 1.743243212735018 +1.239635334976984 1.827971428640967 1.718903277076515 1.831011033166290 +1.033327641341451 1.032770062325701 1.975216530655317 1.958434085350983 +1.227123778298683 1.392298987605085 1.817004849695195 1.252261664991397 +1.797343875857502 1.803170842944485 1.258881278032911 1.786110615430234 +1.244860606485409 1.048751236211840 1.706298709479787 1.091369645427824 +1.582328024772029 1.410675316936429 1.111413900996406 1.468352391122118 +1.988904622507199 1.227091377909595 1.957405382501052 1.975396575587178 +1.113794863145053 1.655771242497922 1.031768396881023 1.991713934874783 +1.630898066922311 1.631506341902332 1.308258270690683 1.527311191336968 +1.983960927923840 1.566057872557475 1.097124368694259 1.836378617509256 +1.618783071563571 1.090035168137701 1.540668513218248 1.699169455936280 +1.869332957251255 1.704147220252638 1.568769828453167 1.441877173614598 +1.601048029562842 1.637041270278119 1.452771959861923 1.635033641231002 +1.941721816686671 1.414754213766203 1.027555851246718 1.307418106946078 +init_gen_rand(0) generated randoms [0, 1) +0.421944098478936 0.957408659873361 0.190111011127383 0.632549872377003 +0.616831120464805 0.984390160895336 0.643335574461273 0.739347032660861 +0.228605414113949 0.052731243538065 0.772446323308858 0.114863567000073 +init_gen_rand(1) generated randoms (0, 1] +0.442082451055255 0.015911155919158 0.555755021719280 0.480889172842165 +0.405815741214470 0.960579860093107 0.544101247102252 0.981124035599182 +0.140227132774799 0.237034110268794 0.213695040931430 0.839170314244399 +init_gen_rand(2) generated randoms (0, 1) +0.332262442390655 0.903899992959739 0.711640747980762 0.063694793030814 +0.172136391851721 0.101571453847773 0.098795918939065 0.862664538090786 +0.424853545765161 0.289050971753394 0.135940482595652 0.818087794332543 +init_gen_rand(3) generated randoms [1, 2) +1.826091232914593 1.465927292773019 1.660359847352146 1.718739833849470 +1.771065180901557 1.368636432068282 1.863811540991485 1.450138787059149 +1.210643354130650 1.794497423503101 1.919954502126080 1.705753029324391 +init_gen_rand(4) generated randoms [0, 1) +0.591142320356478 0.682511093445485 0.830635683995555 0.045933005613670 +0.957981351055883 0.998593638748638 0.261010607596259 0.094700410165497 +0.348077144635012 0.093054819035855 0.311048659827044 0.021348057917652 +init_gen_rand(5) generated randoms (0, 1] +0.331906141590510 0.431204104083267 0.788026765142320 0.107886042968458 +0.331527448463003 0.223260642753400 0.007213097307934 0.940896681940139 +0.077929885744811 0.684439050487772 0.109261760919377 0.512024787196714 +init_gen_rand(6) generated randoms (0, 1) +0.086727908860750 0.284816522568750 0.783013004472519 0.229535563590499 +0.093432866683381 0.364565246345040 0.494017414358864 0.803305863215613 +0.788653835242992 0.922761141678804 0.603919272593562 0.788796637744219 +init_gen_rand(7) generated randoms [1, 2) +1.778523707021504 1.248207063555905 1.798746266980932 1.774778978569397 +1.283133909883287 1.058175568317275 1.457509817550994 1.917955442286553 +1.058388185162171 1.436124085351361 1.917752212446983 1.537464700889863 +init_gen_rand(8) generated randoms [0, 1) +0.685029103155941 0.295351060999472 0.218722190918758 0.378128847153547 +0.529121671696936 0.043642106599858 0.358345494757522 0.123779142473599 +0.258723785570372 0.160266608630971 0.059760426307412 0.011024341145846 +init_gen_rand(9) generated randoms (0, 1] +0.187705455519874 0.288813617791865 0.319144513420439 0.543793275682785 +0.729974326285441 0.096176988807451 0.149483086734216 0.406780899369491 +0.480468469680181 0.495446775981617 0.936398273640683 0.736141431769042 +init_gen_rand(10) generated randoms (0, 1) +0.098793997907986 0.346927888725101 0.983796950114385 0.543851457918610 +0.189272048998960 0.085990450161610 0.581299384058312 0.469887435507086 +0.503662110237420 0.076827081362742 0.114442155060919 0.392405568608614 +init_gen_rand(11) generated randoms [1, 2) +1.461406803678148 1.008787442315979 1.495787816510884 1.850246204845500 +1.477408138299116 1.407988286263545 1.622835436679617 1.766231688195076 +1.987094461308092 1.285715440397025 1.499605055070014 1.987458693012325 +init_gen_rand(12) generated randoms [0, 1) +0.977273334486815 0.817637465453976 0.933354490620283 0.830468185653900 +0.605770981536066 0.028749014476501 0.277316311221838 0.950378026924744 +0.597681054940624 0.687860093352914 0.737466170815903 0.617074154107175 +init_gen_rand(13) generated randoms (0, 1] +0.985306059423489 0.587893550647618 0.296309318706623 0.819842983851756 +0.320426478536460 0.929807705806558 0.430329523388835 0.297844671874719 +0.944917586569726 0.021809686937685 0.408661365695584 0.409732815519562 +init_gen_rand(14) generated randoms (0, 1) +0.420644963976671 0.532468710959390 0.598367781769275 0.510776290609494 +0.277891395737916 0.451234461570111 0.810719706008020 0.286098456126895 +0.934654417060261 0.602795625817081 0.164620902367937 0.983228091124433 +init_gen_rand(15) generated randoms [1, 2) +1.502740389456393 1.532765164299389 1.111885848398497 1.056573211355714 +1.594966901759657 1.922699489051994 1.789423564625162 1.771039785211392 +1.807070109362501 1.410045291783796 1.382204924927806 1.557534994317295 +init_gen_rand(16) generated randoms [0, 1) +0.470649801641298 0.616759675824380 0.403786737982776 0.381395979355409 +0.865832856443838 0.645078283771564 0.382233550952961 0.568332823146031 +0.732177161297510 0.156757394535722 0.336511443125828 0.171259367889499 +init_gen_rand(17) generated randoms (0, 1] +0.956775632276637 0.696378755295651 0.683278549594745 0.495562346462444 +0.034107186214846 0.031502949275996 0.570825947251147 0.386856603189840 +0.168442969072934 0.604702054107083 0.153645463665401 0.859357829320274 +init_gen_rand(18) generated randoms (0, 1) +0.525540856736036 0.388632825260467 0.892015127645260 0.747993895844647 +0.367997053340826 0.331661851479406 0.664144365711446 0.896105607587727 +0.717685345297874 0.400373322803180 0.995618384552992 0.110658345299761 +init_gen_rand(19) generated randoms [1, 2) +1.491913590658521 1.330931141149541 1.817037326975155 1.418740083394695 +1.614928644571634 1.070671717502089 1.784048710437178 1.133950893576865 +1.249463382685035 1.266132109289160 1.185178091772995 1.619470208650039 +init_by_array {1, 2, 3, 4} generated randoms [1, 2) +1.947207450558105 1.135309794297262 1.631344244902284 1.366412058972510 +1.601016221411738 1.642092990822857 1.477144514603918 1.164916026138202 +1.957940728819001 1.281611723812408 1.731029866833327 1.436214232653967 +1.093830624065262 1.780506865914109 1.275431297490529 1.841184720385789 +1.854284566527383 1.050880003488825 1.776488174535655 1.103721363566513 +1.129378366799453 1.170634453846896 1.028815540798394 1.805833575221204 +1.626719074962939 1.943409598554246 1.510018300352814 1.011322818000522 +1.698882058355360 1.318818424961677 1.855824713031231 1.966486116025535 +1.026987215607762 1.136100045420735 1.358378963532814 1.162597723297414 +1.617815384496810 1.244159206669000 1.550222787839322 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1.454960658773818 1.568619062658275 1.444702499145037 +1.510773370712016 1.781557716648353 1.934103586229055 1.941172163765913 +1.929790785666634 1.799625504029669 1.854377056362114 1.093059955571616 +1.469135803452373 1.906149701617822 1.642755145459556 1.587627087490895 +1.285498147558961 1.748389911970281 1.261307923373304 1.881490852207552 +1.435832215350323 1.970898709817613 1.286913926992240 1.685376952896717 +1.114921493298527 1.483647118849966 1.271549161988442 1.178171783721514 +1.879458718382982 1.055612829529943 1.959653206466555 1.966549267065608 +1.823113569060532 1.598472963193942 1.717943347498708 1.788611246842354 +1.785607807089060 1.935863903082454 1.174960077680216 1.886361632047457 +1.405052391691461 1.935248078463915 1.852231404234931 1.314888994372923 +1.323584735475146 1.004988321827554 1.684950479733927 1.759059116079779 +1.328234024028569 1.405490947199401 1.813953499561161 1.753783570407989 +1.460025291518580 1.071700633164818 1.566616486396957 1.506487957528125 +1.486016119187150 1.353043411988975 1.013118639349355 1.538394604806296 +1.606680086865212 1.249277564072503 1.663765995782528 1.075456171683636 +1.781575786787980 1.029034917780994 1.259428008004228 1.492390767384672 +1.098738030341307 1.269272999886151 1.232438465676879 1.209900488655003 +1.969091919854231 1.088964432565811 1.913960592307423 1.105495417415797 +1.135007125702042 1.665540160018957 1.381740847844799 1.879101210905876 +1.624704899913272 1.967298191224754 1.656823557849005 1.185334551587790 +1.484105266625636 1.493209598339335 1.686502880240643 1.096292070043313 +1.619571097993498 1.195610252532715 1.319269375125530 1.315527311257645 +1.823012980563282 1.921849186157530 1.482471534309858 1.686347999576689 +init_gen_rand(0) generated randoms [0, 1) +0.765181698622537 0.745246305991537 0.568323803250302 0.827824719028969 +0.101178624490813 0.347354743836463 0.097191252474847 0.915503700557514 +0.198507374913141 0.056820215705049 0.949530905017576 0.438802247136309 +init_gen_rand(1) generated randoms (0, 1] +0.194901719878278 0.704504802589133 0.661425206834088 0.657149314391731 +0.186843699820924 0.077986495572482 0.086200777814610 0.527940743534187 +0.299184565757858 0.739601976621067 0.012431977952007 0.347952208466035 +init_gen_rand(2) generated randoms (0, 1) +0.075533231096734 0.307354304506435 0.966527714678182 0.186457407750199 +0.644960401845214 0.314541181851816 0.453434663290944 0.440182700666382 +0.601386637833244 0.559156405302471 0.984424835383663 0.999128106108649 +init_gen_rand(3) generated randoms [1, 2) +1.492018114697780 1.890020212160121 1.245108278636401 1.076281116689201 +1.452912992227328 1.968601111847805 1.201521801181943 1.126832182196626 +1.695974245608814 1.611186964340638 1.955708296329818 1.210756230417589 +init_gen_rand(4) generated randoms [0, 1) +0.404446092837087 0.762445918898612 0.403741481094674 0.407650347885022 +0.124416429160289 0.011233840029980 0.618571154323500 0.461122646194172 +0.991303052539951 0.330562747526625 0.752772140969431 0.398027333179694 +init_gen_rand(5) generated randoms (0, 1] +0.109001222977698 0.210206723085946 0.683579921697138 0.119935382322660 +0.691957239677849 0.444409500203215 0.380763396888432 0.291656046710515 +0.870460053910269 0.236025682714543 0.559036299162257 0.342945413589363 +init_gen_rand(6) generated randoms (0, 1) +0.078381323455834 0.011699383992331 0.443109769311707 0.528539988698759 +0.415165193750453 0.023859791355018 0.667715479524992 0.863242539404107 +0.650670970328711 0.775510845357363 0.491547072216528 0.622211856455525 +init_gen_rand(7) generated randoms [1, 2) +1.584934805509316 1.676650238560128 1.325851502255890 1.276580470236778 +1.610600411911038 1.863296998157230 1.548340681088135 1.199033296390817 +1.899963452719032 1.044715319922058 1.054712159521490 1.162008994228031 +init_gen_rand(8) generated randoms [0, 1) +0.993087689380468 0.151694904269749 0.418651866233654 0.116025502289459 +0.783078619170259 0.235562258747579 0.496284822061449 0.212042411542110 +0.413707988859745 0.779160118542302 0.983189708502100 0.372500143880130 +init_gen_rand(9) generated randoms (0, 1] +0.282947982966924 0.179393383854032 0.086727286066172 0.564683359419456 +0.459961978215347 0.568495118639881 0.951889116009463 0.565191775861626 +0.604064217572851 0.386086130527072 0.465369030315200 0.650437732951148 +init_gen_rand(10) generated randoms (0, 1) +0.404761365582273 0.154806542056355 0.100200757486543 0.330039633182131 +0.147320225666558 0.650585900324658 0.687289496381154 0.596462000561654 +0.509626564029628 0.044124986252273 0.584995607733763 0.997955242203390 +init_gen_rand(11) generated randoms [1, 2) +1.949534075530223 1.749223075302722 1.441445706072386 1.888453719616569 +1.880186623524096 1.103259611051816 1.952616460650550 1.111848369225773 +1.172651548435438 1.834338861987819 1.104088773502243 1.507518352519993 +init_gen_rand(12) generated randoms [0, 1) +0.052650487310517 0.395536639853791 0.168785774512398 0.053515488765646 +0.217241512484666 0.303445331823205 0.222180922033841 0.161149424473557 +0.184475531515527 0.902208045549648 0.847056488614387 0.309018859064990 +init_gen_rand(13) generated randoms (0, 1] +0.973715778804144 0.318106178587077 0.550007669382480 0.275705172377627 +0.150396480159389 0.939084492074700 0.801092172170056 0.283353384863843 +0.133465798903162 0.605691053031846 0.749663080542232 0.088437762113786 +init_gen_rand(14) generated randoms (0, 1) +0.406939354190244 0.845881531792185 0.274995087134765 0.679278999119130 +0.337862594866596 0.443640591780940 0.714052020386318 0.836651939558780 +0.671162535935649 0.848525372393848 0.138786969015979 0.953465343634057 +init_gen_rand(15) generated randoms [1, 2) +1.067093993646144 1.850924716687146 1.429231073178040 1.636396685323697 +1.105412073865045 1.210032201642627 1.979586592960941 1.145551718005026 +1.520506588279160 1.781928096273893 1.362878128916263 1.650050661470644 +init_gen_rand(16) generated randoms [0, 1) +0.180546093331636 0.138655300154890 0.301233148539964 0.569501474140356 +0.596206484700007 0.922474129190981 0.388092195335005 0.500671429936854 +0.674375041605038 0.620240442810709 0.936833865719104 0.932014322970933 +init_gen_rand(17) generated randoms (0, 1] +0.543913232352891 0.077207633047800 0.208463691837219 0.404261569755241 +0.074803177834139 0.787466269917197 0.197723832988593 0.653543764877567 +0.018842481297696 0.396566918000936 0.363016138264126 0.911004558439271 +init_gen_rand(18) generated randoms (0, 1) +0.971145432607785 0.939036408534919 0.731639159839990 0.689030721750226 +0.009939267817058 0.801742263002830 0.688516010391608 0.827135228918788 +0.017555728748372 0.135131796395826 0.307032060353549 0.253574644053649 +init_gen_rand(19) generated randoms [1, 2) +1.206359927616818 1.384099300915000 1.324799613402432 1.613919654852769 +1.481833753473305 1.240074768871680 1.758993934916584 1.942388435239905 +1.384200053935697 1.743561097833459 1.833415104799114 1.655249068290933 +init_by_array {1, 2, 3, 4} generated randoms [1, 2) +1.892883535970683 1.412729648325166 1.671331522024335 1.491754256116798 +1.640782364538883 1.138537372127294 1.799409142764807 1.163684350755241 +1.229925960807332 1.849274940142888 1.905288256013054 1.455444393466866 +1.466476479491652 1.125487060817920 1.520577518909817 1.183518247040530 +1.702266127360309 1.073690518227274 1.152846104032462 1.530751755640782 +1.459972432194013 1.063678729939558 1.658711612084381 1.084494379723460 +1.335521615188879 1.568912024036566 1.417718060433492 1.808005670671835 +1.924140311809461 1.215213978438946 1.514759483341141 1.033155875786421 +1.958168576488854 1.155392449510447 1.630739483278737 1.539723999402035 +1.457799074737938 1.841373065285390 1.333891876029118 1.437008808435304 +1.572276744586120 1.305618593536721 1.833973946315542 1.023399074163787 +1.898127450563273 1.072618922408668 1.534549825711466 1.666957191622554 +1.972641419977536 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Mersenne Twister (dSFMT) + * based on IEEE 754 format. + * + * @author Mutsuo Saito (Hiroshima University) + * @author Makoto Matsumoto (Hiroshima University) + * + * Copyright (C) 2007,2008 Mutsuo Saito, Makoto Matsumoto and Hiroshima + * University. All rights reserved. + * + * The new BSD License is applied to this software, see LICENSE.txt + */ +#include +#include +#include +#include "dSFMT-params.h" +#include "dSFMT-common.h" + +#if defined(__cplusplus) +extern "C" { +#endif + +/** dsfmt internal state vector */ +dsfmt_t dsfmt_global_data; +/** dsfmt mexp for check */ +static const int dsfmt_mexp = DSFMT_MEXP; + +/*---------------- + STATIC FUNCTIONS + ----------------*/ +inline static uint32_t ini_func1(uint32_t x); +inline static uint32_t ini_func2(uint32_t x); +inline static void gen_rand_array_c1o2(dsfmt_t *dsfmt, w128_t *array, + ptrdiff_t size); +inline static void gen_rand_array_c0o1(dsfmt_t *dsfmt, w128_t *array, + ptrdiff_t size); +inline static void gen_rand_array_o0c1(dsfmt_t *dsfmt, w128_t *array, + ptrdiff_t size); +inline static void gen_rand_array_o0o1(dsfmt_t *dsfmt, w128_t *array, + ptrdiff_t size); +inline static int idxof(int i); +static void initial_mask(dsfmt_t *dsfmt); +static void period_certification(dsfmt_t *dsfmt); + +#if defined(HAVE_SSE2) +/** 1 in 64bit for sse2 */ +static const union X128I_T sse2_int_one = {{1, 1}}; +/** 2.0 double for sse2 */ +static const union X128D_T sse2_double_two = {{2.0, 2.0}}; +/** -1.0 double for sse2 */ +static const union X128D_T sse2_double_m_one = {{-1.0, -1.0}}; +#endif + +/** + * This function simulate a 32-bit array index overlapped to 64-bit + * array of LITTLE ENDIAN in BIG ENDIAN machine. + */ +#if defined(DSFMT_BIG_ENDIAN) +inline static int idxof(int i) { + return i ^ 1; +} +#else +inline static int idxof(int i) { + return i; +} +#endif + +#if defined(HAVE_SSE2) +/** + * This function converts the double precision floating point numbers which + * distribute uniformly in the range [1, 2) to those which distribute uniformly + * in the range [0, 1). + * @param w 128bit stracture of double precision floating point numbers (I/O) + */ +inline static void convert_c0o1(w128_t *w) { + w->sd = _mm_add_pd(w->sd, sse2_double_m_one.d128); +} + +/** + * This function converts the double precision floating point numbers which + * distribute uniformly in the range [1, 2) to those which distribute uniformly + * in the range (0, 1]. + * @param w 128bit stracture of double precision floating point numbers (I/O) + */ +inline static void convert_o0c1(w128_t *w) { + w->sd = _mm_sub_pd(sse2_double_two.d128, w->sd); +} + +/** + * This function converts the double precision floating point numbers which + * distribute uniformly in the range [1, 2) to those which distribute uniformly + * in the range (0, 1). + * @param w 128bit stracture of double precision floating point numbers (I/O) + */ +inline static void convert_o0o1(w128_t *w) { + w->si = _mm_or_si128(w->si, sse2_int_one.i128); + w->sd = _mm_add_pd(w->sd, sse2_double_m_one.d128); +} +#else /* standard C and altivec */ +/** + * This function converts the double precision floating point numbers which + * distribute uniformly in the range [1, 2) to those which distribute uniformly + * in the range [0, 1). + * @param w 128bit stracture of double precision floating point numbers (I/O) + */ +inline static void convert_c0o1(w128_t *w) { + w->d[0] -= 1.0; + w->d[1] -= 1.0; +} + +/** + * This function converts the double precision floating point numbers which + * distribute uniformly in the range [1, 2) to those which distribute uniformly + * in the range (0, 1]. + * @param w 128bit stracture of double precision floating point numbers (I/O) + */ +inline static void convert_o0c1(w128_t *w) { + w->d[0] = 2.0 - w->d[0]; + w->d[1] = 2.0 - w->d[1]; +} + +/** + * This function converts the double precision floating point numbers which + * distribute uniformly in the range [1, 2) to those which distribute uniformly + * in the range (0, 1). + * @param w 128bit stracture of double precision floating point numbers (I/O) + */ +inline static void convert_o0o1(w128_t *w) { + w->u[0] |= 1; + w->u[1] |= 1; + w->d[0] -= 1.0; + w->d[1] -= 1.0; +} +#endif + +/** + * This function fills the user-specified array with double precision + * floating point pseudorandom numbers of the IEEE 754 format. + * @param dsfmt dsfmt state vector. + * @param array an 128-bit array to be filled by pseudorandom numbers. + * @param size number of 128-bit pseudorandom numbers to be generated. + */ +inline static void gen_rand_array_c1o2(dsfmt_t *dsfmt, w128_t *array, + ptrdiff_t size) { + ptrdiff_t i, j; + w128_t lung; + + lung = dsfmt->status[DSFMT_N]; + do_recursion(&array[0], &dsfmt->status[0], &dsfmt->status[DSFMT_POS1], + &lung); + for (i = 1; i < DSFMT_N - DSFMT_POS1; i++) { + do_recursion(&array[i], &dsfmt->status[i], + &dsfmt->status[i + DSFMT_POS1], &lung); + } + for (; i < DSFMT_N; i++) { + do_recursion(&array[i], &dsfmt->status[i], + &array[i + DSFMT_POS1 - DSFMT_N], &lung); + } + for (; i < size - DSFMT_N; i++) { + do_recursion(&array[i], &array[i - DSFMT_N], + &array[i + DSFMT_POS1 - DSFMT_N], &lung); + } + for (j = 0; j < 2 * DSFMT_N - size; j++) { + dsfmt->status[j] = array[j + size - DSFMT_N]; + } + for (; i < size; i++, j++) { + do_recursion(&array[i], &array[i - DSFMT_N], + &array[i + DSFMT_POS1 - DSFMT_N], &lung); + dsfmt->status[j] = array[i]; + } + dsfmt->status[DSFMT_N] = lung; +} + +/** + * This function fills the user-specified array with double precision + * floating point pseudorandom numbers of the IEEE 754 format. + * @param dsfmt dsfmt state vector. + * @param array an 128-bit array to be filled by pseudorandom numbers. + * @param size number of 128-bit pseudorandom numbers to be generated. + */ +inline static void gen_rand_array_c0o1(dsfmt_t *dsfmt, w128_t *array, + ptrdiff_t size) { + ptrdiff_t i, j; + w128_t lung; + + lung = dsfmt->status[DSFMT_N]; + do_recursion(&array[0], &dsfmt->status[0], &dsfmt->status[DSFMT_POS1], + &lung); + for (i = 1; i < DSFMT_N - DSFMT_POS1; i++) { + do_recursion(&array[i], &dsfmt->status[i], + &dsfmt->status[i + DSFMT_POS1], &lung); + } + for (; i < DSFMT_N; i++) { + do_recursion(&array[i], &dsfmt->status[i], + &array[i + DSFMT_POS1 - DSFMT_N], &lung); + } + for (; i < size - DSFMT_N; i++) { + do_recursion(&array[i], &array[i - DSFMT_N], + &array[i + DSFMT_POS1 - DSFMT_N], &lung); + convert_c0o1(&array[i - DSFMT_N]); + } + for (j = 0; j < 2 * DSFMT_N - size; j++) { + dsfmt->status[j] = array[j + size - DSFMT_N]; + } + for (; i < size; i++, j++) { + do_recursion(&array[i], &array[i - DSFMT_N], + &array[i + DSFMT_POS1 - DSFMT_N], &lung); + dsfmt->status[j] = array[i]; + convert_c0o1(&array[i - DSFMT_N]); + } + for (i = size - DSFMT_N; i < size; i++) { + convert_c0o1(&array[i]); + } + dsfmt->status[DSFMT_N] = lung; +} + +/** + * This function fills the user-specified array with double precision + * floating point pseudorandom numbers of the IEEE 754 format. + * @param dsfmt dsfmt state vector. + * @param array an 128-bit array to be filled by pseudorandom numbers. + * @param size number of 128-bit pseudorandom numbers to be generated. + */ +inline static void gen_rand_array_o0o1(dsfmt_t *dsfmt, w128_t *array, + ptrdiff_t size) { + ptrdiff_t i, j; + w128_t lung; + + lung = dsfmt->status[DSFMT_N]; + do_recursion(&array[0], &dsfmt->status[0], &dsfmt->status[DSFMT_POS1], + &lung); + for (i = 1; i < DSFMT_N - DSFMT_POS1; i++) { + do_recursion(&array[i], &dsfmt->status[i], + &dsfmt->status[i + DSFMT_POS1], &lung); + } + for (; i < DSFMT_N; i++) { + do_recursion(&array[i], &dsfmt->status[i], + &array[i + DSFMT_POS1 - DSFMT_N], &lung); + } + for (; i < size - DSFMT_N; i++) { + do_recursion(&array[i], &array[i - DSFMT_N], + &array[i + DSFMT_POS1 - DSFMT_N], &lung); + convert_o0o1(&array[i - DSFMT_N]); + } + for (j = 0; j < 2 * DSFMT_N - size; j++) { + dsfmt->status[j] = array[j + size - DSFMT_N]; + } + for (; i < size; i++, j++) { + do_recursion(&array[i], &array[i - DSFMT_N], + &array[i + DSFMT_POS1 - DSFMT_N], &lung); + dsfmt->status[j] = array[i]; + convert_o0o1(&array[i - DSFMT_N]); + } + for (i = size - DSFMT_N; i < size; i++) { + convert_o0o1(&array[i]); + } + dsfmt->status[DSFMT_N] = lung; +} + +/** + * This function fills the user-specified array with double precision + * floating point pseudorandom numbers of the IEEE 754 format. + * @param dsfmt dsfmt state vector. + * @param array an 128-bit array to be filled by pseudorandom numbers. + * @param size number of 128-bit pseudorandom numbers to be generated. + */ +inline static void gen_rand_array_o0c1(dsfmt_t *dsfmt, w128_t *array, + ptrdiff_t size) { + ptrdiff_t i, j; + w128_t lung; + + lung = dsfmt->status[DSFMT_N]; + do_recursion(&array[0], &dsfmt->status[0], &dsfmt->status[DSFMT_POS1], + &lung); + for (i = 1; i < DSFMT_N - DSFMT_POS1; i++) { + do_recursion(&array[i], &dsfmt->status[i], + &dsfmt->status[i + DSFMT_POS1], &lung); + } + for (; i < DSFMT_N; i++) { + do_recursion(&array[i], &dsfmt->status[i], + &array[i + DSFMT_POS1 - DSFMT_N], &lung); + } + for (; i < size - DSFMT_N; i++) { + do_recursion(&array[i], &array[i - DSFMT_N], + &array[i + DSFMT_POS1 - DSFMT_N], &lung); + convert_o0c1(&array[i - DSFMT_N]); + } + for (j = 0; j < 2 * DSFMT_N - size; j++) { + dsfmt->status[j] = array[j + size - DSFMT_N]; + } + for (; i < size; i++, j++) { + do_recursion(&array[i], &array[i - DSFMT_N], + &array[i + DSFMT_POS1 - DSFMT_N], &lung); + dsfmt->status[j] = array[i]; + convert_o0c1(&array[i - DSFMT_N]); + } + for (i = size - DSFMT_N; i < size; i++) { + convert_o0c1(&array[i]); + } + dsfmt->status[DSFMT_N] = lung; +} + +/** + * This function represents a function used in the initialization + * by init_by_array + * @param x 32-bit integer + * @return 32-bit integer + */ +static uint32_t ini_func1(uint32_t x) { + return (x ^ (x >> 27)) * (uint32_t)1664525UL; +} + +/** + * This function represents a function used in the initialization + * by init_by_array + * @param x 32-bit integer + * @return 32-bit integer + */ +static uint32_t ini_func2(uint32_t x) { + return (x ^ (x >> 27)) * (uint32_t)1566083941UL; +} + +/** + * This function initializes the internal state array to fit the IEEE + * 754 format. + * @param dsfmt dsfmt state vector. + */ +static void initial_mask(dsfmt_t *dsfmt) { + int i; + uint64_t *psfmt; + + psfmt = &dsfmt->status[0].u[0]; + for (i = 0; i < DSFMT_N * 2; i++) { + psfmt[i] = (psfmt[i] & DSFMT_LOW_MASK) | DSFMT_HIGH_CONST; + } +} + +/** + * This function certificate the period of 2^{SFMT_MEXP}-1. + * @param dsfmt dsfmt state vector. + */ +static void period_certification(dsfmt_t *dsfmt) { + uint64_t pcv[2] = {DSFMT_PCV1, DSFMT_PCV2}; + uint64_t tmp[2]; + uint64_t inner; + int i; +#if (DSFMT_PCV2 & 1) != 1 + int j; + uint64_t work; +#endif + + tmp[0] = (dsfmt->status[DSFMT_N].u[0] ^ DSFMT_FIX1); + tmp[1] = (dsfmt->status[DSFMT_N].u[1] ^ DSFMT_FIX2); + + inner = tmp[0] & pcv[0]; + inner ^= tmp[1] & pcv[1]; + for (i = 32; i > 0; i >>= 1) { + inner ^= inner >> i; + } + inner &= 1; + /* check OK */ + if (inner == 1) { + return; + } + /* check NG, and modification */ +#if (DSFMT_PCV2 & 1) == 1 + dsfmt->status[DSFMT_N].u[1] ^= 1; +#else + for (i = 1; i >= 0; i--) { + work = 1; + for (j = 0; j < 64; j++) { + if ((work & pcv[i]) != 0) { + dsfmt->status[DSFMT_N].u[i] ^= work; + return; + } + work = work << 1; + } + } +#endif + return; +} + +/*---------------- + PUBLIC FUNCTIONS + ----------------*/ +/** + * This function returns the identification string. The string shows + * the Mersenne exponent, and all parameters of this generator. + * @return id string. + */ +const char *dsfmt_get_idstring(void) { + return DSFMT_IDSTR; +} + +/** + * This function returns the minimum size of array used for \b + * fill_array functions. + * @return minimum size of array used for fill_array functions. + */ +int dsfmt_get_min_array_size(void) { + return DSFMT_N64; +} + +/** + * This function fills the internal state array with double precision + * floating point pseudorandom numbers of the IEEE 754 format. + * @param dsfmt dsfmt state vector. + */ +void dsfmt_gen_rand_all(dsfmt_t *dsfmt) { + int i; + w128_t lung; + + lung = dsfmt->status[DSFMT_N]; + do_recursion(&dsfmt->status[0], &dsfmt->status[0], + &dsfmt->status[DSFMT_POS1], &lung); + for (i = 1; i < DSFMT_N - DSFMT_POS1; i++) { + do_recursion(&dsfmt->status[i], &dsfmt->status[i], + &dsfmt->status[i + DSFMT_POS1], &lung); + } + for (; i < DSFMT_N; i++) { + do_recursion(&dsfmt->status[i], &dsfmt->status[i], + &dsfmt->status[i + DSFMT_POS1 - DSFMT_N], &lung); + } + dsfmt->status[DSFMT_N] = lung; +} + +/** + * This function generates double precision floating point + * pseudorandom numbers which distribute in the range [1, 2) to the + * specified array[] by one call. The number of pseudorandom numbers + * is specified by the argument \b size, which must be at least (SFMT_MEXP + * / 128) * 2 and a multiple of two. The function + * get_min_array_size() returns this minimum size. The generation by + * this function is much faster than the following fill_array_xxx functions. + * + * For initialization, init_gen_rand() or init_by_array() must be called + * before the first call of this function. This function can not be + * used after calling genrand_xxx functions, without initialization. + * + * @param dsfmt dsfmt state vector. + * @param array an array where pseudorandom numbers are filled + * by this function. The pointer to the array must be "aligned" + * (namely, must be a multiple of 16) in the SIMD version, since it + * refers to the address of a 128-bit integer. In the standard C + * version, the pointer is arbitrary. + * + * @param size the number of 64-bit pseudorandom integers to be + * generated. size must be a multiple of 2, and greater than or equal + * to (SFMT_MEXP / 128) * 2. + * + * @note \b memalign or \b posix_memalign is available to get aligned + * memory. Mac OSX doesn't have these functions, but \b malloc of OSX + * returns the pointer to the aligned memory block. + */ +void dsfmt_fill_array_close1_open2(dsfmt_t *dsfmt, double array[], ptrdiff_t size) { + assert(size % 2 == 0); + assert(size >= DSFMT_N64); + gen_rand_array_c1o2(dsfmt, (w128_t *)array, size / 2); +} + +/** + * This function generates double precision floating point + * pseudorandom numbers which distribute in the range (0, 1] to the + * specified array[] by one call. This function is the same as + * fill_array_close1_open2() except the distribution range. + * + * @param dsfmt dsfmt state vector. + * @param array an array where pseudorandom numbers are filled + * by this function. + * @param size the number of pseudorandom numbers to be generated. + * see also \sa fill_array_close1_open2() + */ +void dsfmt_fill_array_open_close(dsfmt_t *dsfmt, double array[], ptrdiff_t size) { + assert(size % 2 == 0); + assert(size >= DSFMT_N64); + gen_rand_array_o0c1(dsfmt, (w128_t *)array, size / 2); +} + +/** + * This function generates double precision floating point + * pseudorandom numbers which distribute in the range [0, 1) to the + * specified array[] by one call. This function is the same as + * fill_array_close1_open2() except the distribution range. + * + * @param array an array where pseudorandom numbers are filled + * by this function. + * @param dsfmt dsfmt state vector. + * @param size the number of pseudorandom numbers to be generated. + * see also \sa fill_array_close1_open2() + */ +void dsfmt_fill_array_close_open(dsfmt_t *dsfmt, double array[], ptrdiff_t size) { + assert(size % 2 == 0); + assert(size >= DSFMT_N64); + gen_rand_array_c0o1(dsfmt, (w128_t *)array, size / 2); +} + +/** + * This function generates double precision floating point + * pseudorandom numbers which distribute in the range (0, 1) to the + * specified array[] by one call. This function is the same as + * fill_array_close1_open2() except the distribution range. + * + * @param dsfmt dsfmt state vector. + * @param array an array where pseudorandom numbers are filled + * by this function. + * @param size the number of pseudorandom numbers to be generated. + * see also \sa fill_array_close1_open2() + */ +void dsfmt_fill_array_open_open(dsfmt_t *dsfmt, double array[], ptrdiff_t size) { + assert(size % 2 == 0); + assert(size >= DSFMT_N64); + gen_rand_array_o0o1(dsfmt, (w128_t *)array, size / 2); +} + +#if defined(__INTEL_COMPILER) +# pragma warning(disable:981) +#endif +/** + * This function initializes the internal state array with a 32-bit + * integer seed. + * @param dsfmt dsfmt state vector. + * @param seed a 32-bit integer used as the seed. + * @param mexp caller's mersenne expornent + */ +void dsfmt_chk_init_gen_rand(dsfmt_t *dsfmt, uint32_t seed, int mexp) { + int i; + uint32_t *psfmt; + + /* make sure caller program is compiled with the same MEXP */ + if (mexp != dsfmt_mexp) { + fprintf(stderr, "DSFMT_MEXP doesn't match with dSFMT.c\n"); + exit(1); + } + psfmt = &dsfmt->status[0].u32[0]; + psfmt[idxof(0)] = seed; + for (i = 1; i < (DSFMT_N + 1) * 4; i++) { + psfmt[idxof(i)] = 1812433253UL + * (psfmt[idxof(i - 1)] ^ (psfmt[idxof(i - 1)] >> 30)) + i; + } + initial_mask(dsfmt); + period_certification(dsfmt); + dsfmt->idx = DSFMT_N64; +} + +/** + * This function initializes the internal state array, + * with an array of 32-bit integers used as the seeds + * @param dsfmt dsfmt state vector. + * @param init_key the array of 32-bit integers, used as a seed. + * @param key_length the length of init_key. + * @param mexp caller's mersenne expornent + */ +void dsfmt_chk_init_by_array(dsfmt_t *dsfmt, uint32_t init_key[], + int key_length, int mexp) { + int i, j, count; + uint32_t r; + uint32_t *psfmt32; + int lag; + int mid; + int size = (DSFMT_N + 1) * 4; /* pulmonary */ + + /* make sure caller program is compiled with the same MEXP */ + if (mexp != dsfmt_mexp) { + fprintf(stderr, "DSFMT_MEXP doesn't match with dSFMT.c\n"); + exit(1); + } + if (size >= 623) { + lag = 11; + } else if (size >= 68) { + lag = 7; + } else if (size >= 39) { + lag = 5; + } else { + lag = 3; + } + mid = (size - lag) / 2; + + psfmt32 = &dsfmt->status[0].u32[0]; + memset(dsfmt->status, 0x8b, sizeof(dsfmt->status)); + if (key_length + 1 > size) { + count = key_length + 1; + } else { + count = size; + } + r = ini_func1(psfmt32[idxof(0)] ^ psfmt32[idxof(mid % size)] + ^ psfmt32[idxof((size - 1) % size)]); + psfmt32[idxof(mid % size)] += r; + r += key_length; + psfmt32[idxof((mid + lag) % size)] += r; + psfmt32[idxof(0)] = r; + count--; + for (i = 1, j = 0; (j < count) && (j < key_length); j++) { + r = ini_func1(psfmt32[idxof(i)] + ^ psfmt32[idxof((i + mid) % size)] + ^ psfmt32[idxof((i + size - 1) % size)]); + psfmt32[idxof((i + mid) % size)] += r; + r += init_key[j] + i; + psfmt32[idxof((i + mid + lag) % size)] += r; + psfmt32[idxof(i)] = r; + i = (i + 1) % size; + } + for (; j < count; j++) { + r = ini_func1(psfmt32[idxof(i)] + ^ psfmt32[idxof((i + mid) % size)] + ^ psfmt32[idxof((i + size - 1) % size)]); + psfmt32[idxof((i + mid) % size)] += r; + r += i; + psfmt32[idxof((i + mid + lag) % size)] += r; + psfmt32[idxof(i)] = r; + i = (i + 1) % size; + } + for (j = 0; j < size; j++) { + r = ini_func2(psfmt32[idxof(i)] + + psfmt32[idxof((i + mid) % size)] + + psfmt32[idxof((i + size - 1) % size)]); + psfmt32[idxof((i + mid) % size)] ^= r; + r -= i; + psfmt32[idxof((i + mid + lag) % size)] ^= r; + psfmt32[idxof(i)] = r; + i = (i + 1) % size; + } + initial_mask(dsfmt); + period_certification(dsfmt); + dsfmt->idx = DSFMT_N64; +} +#if defined(__INTEL_COMPILER) +# pragma warning(default:981) +#endif + +#if defined(__cplusplus) +} +#endif diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/dSFMT-common.h julia-0.2.1~quantal7/deps/random/dsfmt-2.2/dSFMT-common.h --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/dSFMT-common.h 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/dSFMT-common.h 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,115 @@ +#pragma once +/** + * @file dSFMT-common.h + * + * @brief SIMD oriented Fast Mersenne Twister(SFMT) pseudorandom + * number generator with jump function. This file includes common functions + * used in random number generation and jump. + * + * @author Mutsuo Saito (Hiroshima University) + * @author Makoto Matsumoto (The University of Tokyo) + * + * Copyright (C) 2006, 2007 Mutsuo Saito, Makoto Matsumoto and Hiroshima + * University. + * Copyright (C) 2012 Mutsuo Saito, Makoto Matsumoto, Hiroshima + * University and The University of Tokyo. + * All rights reserved. + * + * The 3-clause BSD License is applied to this software, see + * LICENSE.txt + */ +#ifndef DSFMT_COMMON_H +#define DSFMT_COMMON_H + +#include "dSFMT.h" + +#if defined(HAVE_SSE2) +# include +union X128I_T { + uint64_t u[2]; + __m128i i128; +}; +union X128D_T { + double d[2]; + __m128d d128; +}; +/** mask data for sse2 */ +static const union X128I_T sse2_param_mask = {{DSFMT_MSK1, DSFMT_MSK2}}; +#endif + +#if defined(HAVE_ALTIVEC) +inline static void do_recursion(w128_t *r, w128_t *a, w128_t * b, + w128_t *lung) { + const vector unsigned char sl1 = ALTI_SL1; + const vector unsigned char sl1_perm = ALTI_SL1_PERM; + const vector unsigned int sl1_msk = ALTI_SL1_MSK; + const vector unsigned char sr1 = ALTI_SR; + const vector unsigned char sr1_perm = ALTI_SR_PERM; + const vector unsigned int sr1_msk = ALTI_SR_MSK; + const vector unsigned char perm = ALTI_PERM; + const vector unsigned int msk1 = ALTI_MSK; + vector unsigned int w, x, y, z; + + z = a->s; + w = lung->s; + x = vec_perm(w, (vector unsigned int)perm, perm); + y = vec_perm(z, sl1_perm, sl1_perm); + y = vec_sll(y, sl1); + y = vec_and(y, sl1_msk); + w = vec_xor(x, b->s); + w = vec_xor(w, y); + x = vec_perm(w, (vector unsigned int)sr1_perm, sr1_perm); + x = vec_srl(x, sr1); + x = vec_and(x, sr1_msk); + y = vec_and(w, msk1); + z = vec_xor(z, y); + r->s = vec_xor(z, x); + lung->s = w; +} +#elif defined(HAVE_SSE2) +/** + * This function represents the recursion formula. + * @param r output 128-bit + * @param a a 128-bit part of the internal state array + * @param b a 128-bit part of the internal state array + * @param d a 128-bit part of the internal state array (I/O) + */ +inline static void do_recursion(w128_t *r, w128_t *a, w128_t *b, w128_t *u) { + __m128i v, w, x, y, z; + + x = a->si; + z = _mm_slli_epi64(x, DSFMT_SL1); + y = _mm_shuffle_epi32(u->si, SSE2_SHUFF); + z = _mm_xor_si128(z, b->si); + y = _mm_xor_si128(y, z); + + v = _mm_srli_epi64(y, DSFMT_SR); + w = _mm_and_si128(y, sse2_param_mask.i128); + v = _mm_xor_si128(v, x); + v = _mm_xor_si128(v, w); + r->si = v; + u->si = y; +} +#else +/** + * This function represents the recursion formula. + * @param r output 128-bit + * @param a a 128-bit part of the internal state array + * @param b a 128-bit part of the internal state array + * @param lung a 128-bit part of the internal state array (I/O) + */ +inline static void do_recursion(w128_t *r, w128_t *a, w128_t * b, + w128_t *lung) { + uint64_t t0, t1, L0, L1; + + t0 = a->u[0]; + t1 = a->u[1]; + L0 = lung->u[0]; + L1 = lung->u[1]; + lung->u[0] = (t0 << DSFMT_SL1) ^ (L1 >> 32) ^ (L1 << 32) ^ b->u[0]; + lung->u[1] = (t1 << DSFMT_SL1) ^ (L0 >> 32) ^ (L0 << 32) ^ b->u[1]; + r->u[0] = (lung->u[0] >> DSFMT_SR) ^ (lung->u[0] & DSFMT_MSK1) ^ t0; + r->u[1] = (lung->u[1] >> DSFMT_SR) ^ (lung->u[1] & DSFMT_MSK2) ^ t1; +} +#endif +#endif diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/dSFMT.h julia-0.2.1~quantal7/deps/random/dsfmt-2.2/dSFMT.h --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/dSFMT.h 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/dSFMT.h 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,640 @@ +#pragma once +/** + * @file dSFMT.h + * + * @brief double precision SIMD oriented Fast Mersenne Twister(dSFMT) + * pseudorandom number generator based on IEEE 754 format. + * + * @author Mutsuo Saito (Hiroshima University) + * @author Makoto Matsumoto (Hiroshima University) + * + * Copyright (C) 2007, 2008 Mutsuo Saito, Makoto Matsumoto and + * Hiroshima University. All rights reserved. + * Copyright (C) 2012 Mutsuo Saito, Makoto Matsumoto, + * Hiroshima University and The University of Tokyo. + * All rights reserved. + * + * The new BSD License is applied to this software. + * see LICENSE.txt + * + * @note We assume that your system has inttypes.h. If your system + * doesn't have inttypes.h, you have to typedef uint32_t and uint64_t, + * and you have to define PRIu64 and PRIx64 in this file as follows: + * @verbatim + typedef unsigned int uint32_t + typedef unsigned long long uint64_t + #define PRIu64 "llu" + #define PRIx64 "llx" +@endverbatim + * uint32_t must be exactly 32-bit unsigned integer type (no more, no + * less), and uint64_t must be exactly 64-bit unsigned integer type. + * PRIu64 and PRIx64 are used for printf function to print 64-bit + * unsigned int and 64-bit unsigned int in hexadecimal format. + */ + +#ifndef DSFMT_H +#define DSFMT_H +#if defined(__cplusplus) +extern "C" { +#endif + +#include +#include +#include + +#if !defined(DSFMT_MEXP) +#ifdef __GNUC__ + #warning "DSFMT_MEXP is not defined. I assume DSFMT_MEXP is 19937." +#endif + #define DSFMT_MEXP 19937 +#endif +/*----------------- + BASIC DEFINITIONS + -----------------*/ +/* Mersenne Exponent. The period of the sequence + * is a multiple of 2^DSFMT_MEXP-1. + * #define DSFMT_MEXP 19937 */ +/** DSFMT generator has an internal state array of 128-bit integers, + * and N is its size. */ +#define DSFMT_N ((DSFMT_MEXP - 128) / 104 + 1) +/** N32 is the size of internal state array when regarded as an array + * of 32-bit integers.*/ +#define DSFMT_N32 (DSFMT_N * 4) +/** N64 is the size of internal state array when regarded as an array + * of 64-bit integers.*/ +#define DSFMT_N64 (DSFMT_N * 2) + +#if !defined(DSFMT_BIG_ENDIAN) +# if defined(__BYTE_ORDER) && defined(__BIG_ENDIAN) +# if __BYTE_ORDER == __BIG_ENDIAN +# define DSFMT_BIG_ENDIAN 1 +# endif +# elif defined(_BYTE_ORDER) && defined(_BIG_ENDIAN) +# if _BYTE_ORDER == _BIG_ENDIAN +# define DSFMT_BIG_ENDIAN 1 +# endif +# elif defined(__BYTE_ORDER__) && defined(__BIG_ENDIAN__) +# if __BYTE_ORDER__ == __BIG_ENDIAN__ +# define DSFMT_BIG_ENDIAN 1 +# endif +# elif defined(BYTE_ORDER) && defined(BIG_ENDIAN) +# if BYTE_ORDER == BIG_ENDIAN +# define DSFMT_BIG_ENDIAN 1 +# endif +# elif defined(__BIG_ENDIAN) || defined(_BIG_ENDIAN) \ + || defined(__BIG_ENDIAN__) || defined(BIG_ENDIAN) +# define DSFMT_BIG_ENDIAN 1 +# endif +#endif + +#if defined(DSFMT_BIG_ENDIAN) && defined(__amd64) +# undef DSFMT_BIG_ENDIAN +#endif + +#if defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 199901L) +# include +#elif defined(_MSC_VER) || defined(__BORLANDC__) +# if !defined(DSFMT_UINT32_DEFINED) && !defined(SFMT_UINT32_DEFINED) +typedef unsigned int uint32_t; +typedef unsigned __int64 uint64_t; +# define UINT64_C(v) (v ## ui64) +# define DSFMT_UINT32_DEFINED +# if !defined(inline) +# define inline __inline +# endif +# endif +#else +# include +# if !defined(inline) +# if defined(__GNUC__) +# define inline __inline__ +# else +# define inline +# endif +# endif +#endif + +#ifndef PRIu64 +# if defined(_MSC_VER) || defined(__BORLANDC__) +# define PRIu64 "I64u" +# define PRIx64 "I64x" +# else +# define PRIu64 "llu" +# define PRIx64 "llx" +# endif +#endif + +#ifndef UINT64_C +# define UINT64_C(v) (v ## ULL) +#endif + +/*------------------------------------------ + 128-bit SIMD like data type for standard C + ------------------------------------------*/ +#if defined(HAVE_ALTIVEC) +# if !defined(__APPLE__) +# include +# endif +/** 128-bit data structure */ +union W128_T { + vector unsigned int s; + uint64_t u[2]; + uint32_t u32[4]; + double d[2]; +}; + +#elif defined(HAVE_SSE2) +# include + +/** 128-bit data structure */ +union W128_T { + __m128i si; + __m128d sd; + uint64_t u[2]; + uint32_t u32[4]; + double d[2]; +}; +#else /* standard C */ +/** 128-bit data structure */ +union W128_T { + uint64_t u[2]; + uint32_t u32[4]; + double d[2]; +}; +#endif + +/** 128-bit data type */ +typedef union W128_T w128_t; + +/** the 128-bit internal state array */ +struct DSFMT_T { + w128_t status[DSFMT_N + 1]; + int idx; +}; +typedef struct DSFMT_T dsfmt_t; + +/** dsfmt internal state vector */ +extern dsfmt_t dsfmt_global_data; +/** dsfmt mexp for check */ +extern const int dsfmt_global_mexp; + +void dsfmt_gen_rand_all(dsfmt_t *dsfmt); +void dsfmt_fill_array_open_close(dsfmt_t *dsfmt, double array[], ptrdiff_t size); +void dsfmt_fill_array_close_open(dsfmt_t *dsfmt, double array[], ptrdiff_t size); +void dsfmt_fill_array_open_open(dsfmt_t *dsfmt, double array[], ptrdiff_t size); +void dsfmt_fill_array_close1_open2(dsfmt_t *dsfmt, double array[], ptrdiff_t size); +void dsfmt_chk_init_gen_rand(dsfmt_t *dsfmt, uint32_t seed, int mexp); +void dsfmt_chk_init_by_array(dsfmt_t *dsfmt, uint32_t init_key[], + int key_length, int mexp); +const char *dsfmt_get_idstring(void); +int dsfmt_get_min_array_size(void); + +/* +#if defined(__GNUC__) +# define DSFMT_PRE_INLINE inline static +# define DSFMT_PST_INLINE __attribute__((always_inline)) +#elif defined(_MSC_VER) && _MSC_VER >= 1200 +# define DSFMT_PRE_INLINE __forceinline static +# define DSFMT_PST_INLINE +#else +# define DSFMT_PRE_INLINE inline static +# define DSFMT_PST_INLINE +#endif +*/ +#define DSFMT_PRE_INLINE +#define DSFMT_PST_INLINE + +DSFMT_PRE_INLINE uint32_t dsfmt_genrand_uint32(dsfmt_t *dsfmt) DSFMT_PST_INLINE; +DSFMT_PRE_INLINE double dsfmt_genrand_close1_open2(dsfmt_t *dsfmt) + DSFMT_PST_INLINE; +DSFMT_PRE_INLINE double dsfmt_genrand_close_open(dsfmt_t *dsfmt) + DSFMT_PST_INLINE; +DSFMT_PRE_INLINE double dsfmt_genrand_open_close(dsfmt_t *dsfmt) + DSFMT_PST_INLINE; +DSFMT_PRE_INLINE double dsfmt_genrand_open_open(dsfmt_t *dsfmt) + DSFMT_PST_INLINE; +DSFMT_PRE_INLINE uint32_t dsfmt_gv_genrand_uint32(void) DSFMT_PST_INLINE; +DSFMT_PRE_INLINE double dsfmt_gv_genrand_close1_open2(void) DSFMT_PST_INLINE; +DSFMT_PRE_INLINE double dsfmt_gv_genrand_close_open(void) DSFMT_PST_INLINE; +DSFMT_PRE_INLINE double dsfmt_gv_genrand_open_close(void) DSFMT_PST_INLINE; +DSFMT_PRE_INLINE double dsfmt_gv_genrand_open_open(void) DSFMT_PST_INLINE; +DSFMT_PRE_INLINE void dsfmt_gv_fill_array_open_close(double array[], ptrdiff_t size) + DSFMT_PST_INLINE; +DSFMT_PRE_INLINE void dsfmt_gv_fill_array_close_open(double array[], ptrdiff_t size) + DSFMT_PST_INLINE; +DSFMT_PRE_INLINE void dsfmt_gv_fill_array_open_open(double array[], ptrdiff_t size) + DSFMT_PST_INLINE; +DSFMT_PRE_INLINE void dsfmt_gv_fill_array_close1_open2(double array[], ptrdiff_t size) + DSFMT_PST_INLINE; +DSFMT_PRE_INLINE void dsfmt_gv_init_gen_rand(uint32_t seed) DSFMT_PST_INLINE; +DSFMT_PRE_INLINE void dsfmt_gv_init_by_array(uint32_t init_key[], + int key_length) DSFMT_PST_INLINE; +DSFMT_PRE_INLINE void dsfmt_init_gen_rand(dsfmt_t *dsfmt, uint32_t seed) + DSFMT_PST_INLINE; +DSFMT_PRE_INLINE void dsfmt_init_by_array(dsfmt_t *dsfmt, uint32_t init_key[], + int key_length) DSFMT_PST_INLINE; + +/** + * This function generates and returns unsigned 32-bit integer. + * This is slower than SFMT, only for convenience usage. + * dsfmt_init_gen_rand() or dsfmt_init_by_array() must be called + * before this function. + * @param dsfmt dsfmt internal state date + * @return double precision floating point pseudorandom number + */ +uint32_t dsfmt_genrand_uint32(dsfmt_t *dsfmt) { + uint32_t r; + uint64_t *psfmt64 = &dsfmt->status[0].u[0]; + + if (dsfmt->idx >= DSFMT_N64) { + dsfmt_gen_rand_all(dsfmt); + dsfmt->idx = 0; + } + r = psfmt64[dsfmt->idx++] & 0xffffffffU; + return r; +} + +/** + * This function generates and returns double precision pseudorandom + * number which distributes uniformly in the range [1, 2). This is + * the primitive and faster than generating numbers in other ranges. + * dsfmt_init_gen_rand() or dsfmt_init_by_array() must be called + * before this function. + * @param dsfmt dsfmt internal state date + * @return double precision floating point pseudorandom number + */ +double dsfmt_genrand_close1_open2(dsfmt_t *dsfmt) { + double r; + double *psfmt64 = &dsfmt->status[0].d[0]; + + if (dsfmt->idx >= DSFMT_N64) { + dsfmt_gen_rand_all(dsfmt); + dsfmt->idx = 0; + } + r = psfmt64[dsfmt->idx++]; + return r; +} + +/** + * This function generates and returns unsigned 32-bit integer. + * This is slower than SFMT, only for convenience usage. + * dsfmt_gv_init_gen_rand() or dsfmt_gv_init_by_array() must be called + * before this function. This function uses \b global variables. + * @return double precision floating point pseudorandom number + */ +uint32_t dsfmt_gv_genrand_uint32(void) { + return dsfmt_genrand_uint32(&dsfmt_global_data); +} + +/** + * This function generates and returns double precision pseudorandom + * number which distributes uniformly in the range [1, 2). + * dsfmt_gv_init_gen_rand() or dsfmt_gv_init_by_array() must be called + * before this function. This function uses \b global variables. + * @return double precision floating point pseudorandom number + */ +double dsfmt_gv_genrand_close1_open2(void) { + return dsfmt_genrand_close1_open2(&dsfmt_global_data); +} + +/** + * This function generates and returns double precision pseudorandom + * number which distributes uniformly in the range [0, 1). + * dsfmt_init_gen_rand() or dsfmt_init_by_array() must be called + * before this function. + * @param dsfmt dsfmt internal state date + * @return double precision floating point pseudorandom number + */ +double dsfmt_genrand_close_open(dsfmt_t *dsfmt) { + return dsfmt_genrand_close1_open2(dsfmt) - 1.0; +} + +/** + * This function generates and returns double precision pseudorandom + * number which distributes uniformly in the range [0, 1). + * dsfmt_gv_init_gen_rand() or dsfmt_gv_init_by_array() must be called + * before this function. This function uses \b global variables. + * @return double precision floating point pseudorandom number + */ +double dsfmt_gv_genrand_close_open(void) { + return dsfmt_gv_genrand_close1_open2() - 1.0; +} + +/** + * This function generates and returns double precision pseudorandom + * number which distributes uniformly in the range (0, 1]. + * dsfmt_init_gen_rand() or dsfmt_init_by_array() must be called + * before this function. + * @param dsfmt dsfmt internal state date + * @return double precision floating point pseudorandom number + */ +double dsfmt_genrand_open_close(dsfmt_t *dsfmt) { + return 2.0 - dsfmt_genrand_close1_open2(dsfmt); +} + +/** + * This function generates and returns double precision pseudorandom + * number which distributes uniformly in the range (0, 1]. + * dsfmt_gv_init_gen_rand() or dsfmt_gv_init_by_array() must be called + * before this function. This function uses \b global variables. + * @return double precision floating point pseudorandom number + */ +double dsfmt_gv_genrand_open_close(void) { + return 2.0 - dsfmt_gv_genrand_close1_open2(); +} + +/** + * This function generates and returns double precision pseudorandom + * number which distributes uniformly in the range (0, 1). + * dsfmt_init_gen_rand() or dsfmt_init_by_array() must be called + * before this function. + * @param dsfmt dsfmt internal state date + * @return double precision floating point pseudorandom number + */ +double dsfmt_genrand_open_open(dsfmt_t *dsfmt) { + double *dsfmt64 = &dsfmt->status[0].d[0]; + union { + double d; + uint64_t u; + } r; + + if (dsfmt->idx >= DSFMT_N64) { + dsfmt_gen_rand_all(dsfmt); + dsfmt->idx = 0; + } + r.d = dsfmt64[dsfmt->idx++]; + r.u |= 1; + return r.d - 1.0; +} + +/** + * This function generates and returns double precision pseudorandom + * number which distributes uniformly in the range (0, 1). + * dsfmt_gv_init_gen_rand() or dsfmt_gv_init_by_array() must be called + * before this function. This function uses \b global variables. + * @return double precision floating point pseudorandom number + */ +double dsfmt_gv_genrand_open_open(void) { + return dsfmt_genrand_open_open(&dsfmt_global_data); +} + +/** + * This function generates double precision floating point + * pseudorandom numbers which distribute in the range [1, 2) to the + * specified array[] by one call. This function is the same as + * dsfmt_fill_array_close1_open2() except that this function uses + * \b global variables. + * @param array an array where pseudorandom numbers are filled + * by this function. + * @param size the number of pseudorandom numbers to be generated. + * see also \sa dsfmt_fill_array_close1_open2() + */ +void dsfmt_gv_fill_array_close1_open2(double array[], ptrdiff_t size) { + dsfmt_fill_array_close1_open2(&dsfmt_global_data, array, size); +} + +/** + * This function generates double precision floating point + * pseudorandom numbers which distribute in the range (0, 1] to the + * specified array[] by one call. This function is the same as + * dsfmt_gv_fill_array_close1_open2() except the distribution range. + * This function uses \b global variables. + * @param array an array where pseudorandom numbers are filled + * by this function. + * @param size the number of pseudorandom numbers to be generated. + * see also \sa dsfmt_fill_array_close1_open2() and \sa + * dsfmt_gv_fill_array_close1_open2() + */ +void dsfmt_gv_fill_array_open_close(double array[], ptrdiff_t size) { + dsfmt_fill_array_open_close(&dsfmt_global_data, array, size); +} + +/** + * This function generates double precision floating point + * pseudorandom numbers which distribute in the range [0, 1) to the + * specified array[] by one call. This function is the same as + * dsfmt_gv_fill_array_close1_open2() except the distribution range. + * This function uses \b global variables. + * @param array an array where pseudorandom numbers are filled + * by this function. + * @param size the number of pseudorandom numbers to be generated. + * see also \sa dsfmt_fill_array_close1_open2() \sa + * dsfmt_gv_fill_array_close1_open2() + */ +void dsfmt_gv_fill_array_close_open(double array[], ptrdiff_t size) { + dsfmt_fill_array_close_open(&dsfmt_global_data, array, size); +} + +/** + * This function generates double precision floating point + * pseudorandom numbers which distribute in the range (0, 1) to the + * specified array[] by one call. This function is the same as + * dsfmt_gv_fill_array_close1_open2() except the distribution range. + * This function uses \b global variables. + * @param array an array where pseudorandom numbers are filled + * by this function. + * @param size the number of pseudorandom numbers to be generated. + * see also \sa dsfmt_fill_array_close1_open2() \sa + * dsfmt_gv_fill_array_close1_open2() + */ +void dsfmt_gv_fill_array_open_open(double array[], ptrdiff_t size) { + dsfmt_fill_array_open_open(&dsfmt_global_data, array, size); +} + +/** + * This function initializes the internal state array with a 32-bit + * integer seed. + * @param dsfmt dsfmt state vector. + * @param seed a 32-bit integer used as the seed. + */ +void dsfmt_init_gen_rand(dsfmt_t *dsfmt, uint32_t seed) { + dsfmt_chk_init_gen_rand(dsfmt, seed, DSFMT_MEXP); +} + +/** + * This function initializes the internal state array with a 32-bit + * integer seed. This function uses \b global variables. + * @param seed a 32-bit integer used as the seed. + * see also \sa dsfmt_init_gen_rand() + */ +void dsfmt_gv_init_gen_rand(uint32_t seed) { + dsfmt_init_gen_rand(&dsfmt_global_data, seed); +} + +/** + * This function initializes the internal state array, + * with an array of 32-bit integers used as the seeds. + * @param dsfmt dsfmt state vector + * @param init_key the array of 32-bit integers, used as a seed. + * @param key_length the length of init_key. + */ +void dsfmt_init_by_array(dsfmt_t *dsfmt, uint32_t init_key[], + int key_length) { + dsfmt_chk_init_by_array(dsfmt, init_key, key_length, DSFMT_MEXP); +} + +/** + * This function initializes the internal state array, + * with an array of 32-bit integers used as the seeds. + * This function uses \b global variables. + * @param init_key the array of 32-bit integers, used as a seed. + * @param key_length the length of init_key. + * see also \sa dsfmt_init_by_array() + */ +void dsfmt_gv_init_by_array(uint32_t init_key[], int key_length) { + dsfmt_init_by_array(&dsfmt_global_data, init_key, key_length); +} + +#if !defined(DSFMT_DO_NOT_USE_OLD_NAMES) +DSFMT_PRE_INLINE const char *get_idstring(void) DSFMT_PST_INLINE; +DSFMT_PRE_INLINE int get_min_array_size(void) DSFMT_PST_INLINE; +DSFMT_PRE_INLINE void init_gen_rand(uint32_t seed) DSFMT_PST_INLINE; +DSFMT_PRE_INLINE void init_by_array(uint32_t init_key[], int key_length) + DSFMT_PST_INLINE; +DSFMT_PRE_INLINE double genrand_close1_open2(void) DSFMT_PST_INLINE; +DSFMT_PRE_INLINE double genrand_close_open(void) DSFMT_PST_INLINE; +DSFMT_PRE_INLINE double genrand_open_close(void) DSFMT_PST_INLINE; +DSFMT_PRE_INLINE double genrand_open_open(void) DSFMT_PST_INLINE; +DSFMT_PRE_INLINE void fill_array_open_close(double array[], ptrdiff_t size) + DSFMT_PST_INLINE; +DSFMT_PRE_INLINE void fill_array_close_open(double array[], ptrdiff_t size) + DSFMT_PST_INLINE; +DSFMT_PRE_INLINE void fill_array_open_open(double array[], ptrdiff_t size) + DSFMT_PST_INLINE; +DSFMT_PRE_INLINE void fill_array_close1_open2(double array[], ptrdiff_t size) + DSFMT_PST_INLINE; + +/** + * This function is just the same as dsfmt_get_idstring(). + * @return id string. + * see also \sa dsfmt_get_idstring() + */ +const char *get_idstring(void) { + return dsfmt_get_idstring(); +} + +/** + * This function is just the same as dsfmt_get_min_array_size(). + * @return minimum size of array used for fill_array functions. + * see also \sa dsfmt_get_min_array_size() + */ +int get_min_array_size(void) { + return dsfmt_get_min_array_size(); +} + +/** + * This function is just the same as dsfmt_gv_init_gen_rand(). + * @param seed a 32-bit integer used as the seed. + * see also \sa dsfmt_gv_init_gen_rand(), \sa dsfmt_init_gen_rand(). + */ +void init_gen_rand(uint32_t seed) { + dsfmt_gv_init_gen_rand(seed); +} + +/** + * This function is just the same as dsfmt_gv_init_by_array(). + * @param init_key the array of 32-bit integers, used as a seed. + * @param key_length the length of init_key. + * see also \sa dsfmt_gv_init_by_array(), \sa dsfmt_init_by_array(). + */ +void init_by_array(uint32_t init_key[], int key_length) { + dsfmt_gv_init_by_array(init_key, key_length); +} + +/** + * This function is just the same as dsfmt_gv_genrand_close1_open2(). + * @return double precision floating point number. + * see also \sa dsfmt_genrand_close1_open2() \sa + * dsfmt_gv_genrand_close1_open2() + */ +double genrand_close1_open2(void) { + return dsfmt_gv_genrand_close1_open2(); +} + +/** + * This function is just the same as dsfmt_gv_genrand_close_open(). + * @return double precision floating point number. + * see also \sa dsfmt_genrand_close_open() \sa + * dsfmt_gv_genrand_close_open() + */ +double genrand_close_open(void) { + return dsfmt_gv_genrand_close_open(); +} + +/** + * This function is just the same as dsfmt_gv_genrand_open_close(). + * @return double precision floating point number. + * see also \sa dsfmt_genrand_open_close() \sa + * dsfmt_gv_genrand_open_close() + */ +double genrand_open_close(void) { + return dsfmt_gv_genrand_open_close(); +} + +/** + * This function is just the same as dsfmt_gv_genrand_open_open(). + * @return double precision floating point number. + * see also \sa dsfmt_genrand_open_open() \sa + * dsfmt_gv_genrand_open_open() + */ +double genrand_open_open(void) { + return dsfmt_gv_genrand_open_open(); +} + +/** + * This function is juset the same as dsfmt_gv_fill_array_open_close(). + * @param array an array where pseudorandom numbers are filled + * by this function. + * @param size the number of pseudorandom numbers to be generated. + * see also \sa dsfmt_gv_fill_array_open_close(), \sa + * dsfmt_fill_array_close1_open2(), \sa + * dsfmt_gv_fill_array_close1_open2() + */ +void fill_array_open_close(double array[], ptrdiff_t size) { + dsfmt_gv_fill_array_open_close(array, size); +} + +/** + * This function is juset the same as dsfmt_gv_fill_array_close_open(). + * @param array an array where pseudorandom numbers are filled + * by this function. + * @param size the number of pseudorandom numbers to be generated. + * see also \sa dsfmt_gv_fill_array_close_open(), \sa + * dsfmt_fill_array_close1_open2(), \sa + * dsfmt_gv_fill_array_close1_open2() + */ +void fill_array_close_open(double array[], ptrdiff_t size) { + dsfmt_gv_fill_array_close_open(array, size); +} + +/** + * This function is juset the same as dsfmt_gv_fill_array_open_open(). + * @param array an array where pseudorandom numbers are filled + * by this function. + * @param size the number of pseudorandom numbers to be generated. + * see also \sa dsfmt_gv_fill_array_open_open(), \sa + * dsfmt_fill_array_close1_open2(), \sa + * dsfmt_gv_fill_array_close1_open2() + */ +void fill_array_open_open(double array[], ptrdiff_t size) { + dsfmt_gv_fill_array_open_open(array, size); +} + +/** + * This function is juset the same as dsfmt_gv_fill_array_close1_open2(). + * @param array an array where pseudorandom numbers are filled + * by this function. + * @param size the number of pseudorandom numbers to be generated. + * see also \sa dsfmt_fill_array_close1_open2(), \sa + * dsfmt_gv_fill_array_close1_open2() + */ +void fill_array_close1_open2(double array[], ptrdiff_t size) { + dsfmt_gv_fill_array_close1_open2(array, size); +} +#endif /* DSFMT_DO_NOT_USE_OLD_NAMES */ + +#if defined(__cplusplus) +} +#endif + +#endif /* DSFMT_H */ diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/dSFMT-params11213.h julia-0.2.1~quantal7/deps/random/dsfmt-2.2/dSFMT-params11213.h --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/dSFMT-params11213.h 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/dSFMT-params11213.h 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,40 @@ +#ifndef DSFMT_PARAMS11213_H +#define DSFMT_PARAMS11213_H + +/* #define DSFMT_N 107 */ +/* #define DSFMT_MAXDEGREE 11256 */ +#define DSFMT_POS1 37 +#define DSFMT_SL1 19 +#define DSFMT_MSK1 UINT64_C(0x000ffffffdf7fffd) +#define DSFMT_MSK2 UINT64_C(0x000dfffffff6bfff) +#define DSFMT_MSK32_1 0x000fffffU +#define DSFMT_MSK32_2 0xfdf7fffdU +#define DSFMT_MSK32_3 0x000dffffU +#define DSFMT_MSK32_4 0xfff6bfffU +#define DSFMT_FIX1 UINT64_C(0xd0ef7b7c75b06793) +#define DSFMT_FIX2 UINT64_C(0x9c50ff4caae0a641) +#define DSFMT_PCV1 UINT64_C(0x8234c51207c80000) +#define DSFMT_PCV2 UINT64_C(0x0000000000000001) +#define DSFMT_IDSTR "dSFMT2-11213:37-19:ffffffdf7fffd-dfffffff6bfff" + + +/* PARAMETERS FOR ALTIVEC */ +#if defined(__APPLE__) /* For OSX */ + #define ALTI_SL1 (vector unsigned int)(3, 3, 3, 3) + #define ALTI_SL1_PERM \ + (vector unsigned char)(2,3,4,5,6,7,30,30,10,11,12,13,14,15,0,1) + #define ALTI_SL1_MSK \ + (vector unsigned int)(0xffffffffU,0xfff80000U,0xffffffffU,0xfff80000U) + #define ALTI_MSK (vector unsigned int)(DSFMT_MSK32_1, \ + DSFMT_MSK32_2, DSFMT_MSK32_3, DSFMT_MSK32_4) +#else /* For OTHER OSs(Linux?) */ + #define ALTI_SL1 {3, 3, 3, 3} + #define ALTI_SL1_PERM \ + {2,3,4,5,6,7,30,30,10,11,12,13,14,15,0,1} + #define ALTI_SL1_MSK \ + {0xffffffffU,0xfff80000U,0xffffffffU,0xfff80000U} + #define ALTI_MSK \ + {DSFMT_MSK32_1, DSFMT_MSK32_2, DSFMT_MSK32_3, DSFMT_MSK32_4} +#endif + +#endif /* DSFMT_PARAMS11213_H */ diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/dSFMT-params1279.h julia-0.2.1~quantal7/deps/random/dsfmt-2.2/dSFMT-params1279.h --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/dSFMT-params1279.h 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/dSFMT-params1279.h 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,40 @@ +#ifndef DSFMT_PARAMS1279_H +#define DSFMT_PARAMS1279_H + +/* #define DSFMT_N 12 */ +/* #define DSFMT_MAXDEGREE 1376 */ +#define DSFMT_POS1 9 +#define DSFMT_SL1 19 +#define DSFMT_MSK1 UINT64_C(0x000efff7ffddffee) +#define DSFMT_MSK2 UINT64_C(0x000fbffffff77fff) +#define DSFMT_MSK32_1 0x000efff7U +#define DSFMT_MSK32_2 0xffddffeeU +#define DSFMT_MSK32_3 0x000fbfffU +#define DSFMT_MSK32_4 0xfff77fffU +#define DSFMT_FIX1 UINT64_C(0xb66627623d1a31be) +#define DSFMT_FIX2 UINT64_C(0x04b6c51147b6109b) +#define DSFMT_PCV1 UINT64_C(0x7049f2da382a6aeb) +#define DSFMT_PCV2 UINT64_C(0xde4ca84a40000001) +#define DSFMT_IDSTR "dSFMT2-1279:9-19:efff7ffddffee-fbffffff77fff" + + +/* PARAMETERS FOR ALTIVEC */ +#if defined(__APPLE__) /* For OSX */ + #define ALTI_SL1 (vector unsigned int)(3, 3, 3, 3) + #define ALTI_SL1_PERM \ + (vector unsigned char)(2,3,4,5,6,7,30,30,10,11,12,13,14,15,0,1) + #define ALTI_SL1_MSK \ + (vector unsigned int)(0xffffffffU,0xfff80000U,0xffffffffU,0xfff80000U) + #define ALTI_MSK (vector unsigned int)(DSFMT_MSK32_1, \ + DSFMT_MSK32_2, DSFMT_MSK32_3, DSFMT_MSK32_4) +#else /* For OTHER OSs(Linux?) */ + #define ALTI_SL1 {3, 3, 3, 3} + #define ALTI_SL1_PERM \ + {2,3,4,5,6,7,30,30,10,11,12,13,14,15,0,1} + #define ALTI_SL1_MSK \ + {0xffffffffU,0xfff80000U,0xffffffffU,0xfff80000U} + #define ALTI_MSK \ + {DSFMT_MSK32_1, DSFMT_MSK32_2, DSFMT_MSK32_3, DSFMT_MSK32_4} +#endif + +#endif /* DSFMT_PARAMS1279_H */ diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/dSFMT-params132049.h julia-0.2.1~quantal7/deps/random/dsfmt-2.2/dSFMT-params132049.h --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/dSFMT-params132049.h 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/dSFMT-params132049.h 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,40 @@ +#ifndef DSFMT_PARAMS132049_H +#define DSFMT_PARAMS132049_H + +/* #define DSFMT_N 1269 */ +/* #define DSFMT_MAXDEGREE 132104 */ +#define DSFMT_POS1 371 +#define DSFMT_SL1 23 +#define DSFMT_MSK1 UINT64_C(0x000fb9f4eff4bf77) +#define DSFMT_MSK2 UINT64_C(0x000fffffbfefff37) +#define DSFMT_MSK32_1 0x000fb9f4U +#define DSFMT_MSK32_2 0xeff4bf77U +#define DSFMT_MSK32_3 0x000fffffU +#define DSFMT_MSK32_4 0xbfefff37U +#define DSFMT_FIX1 UINT64_C(0x4ce24c0e4e234f3b) +#define DSFMT_FIX2 UINT64_C(0x62612409b5665c2d) +#define DSFMT_PCV1 UINT64_C(0x181232889145d000) +#define DSFMT_PCV2 UINT64_C(0x0000000000000001) +#define DSFMT_IDSTR "dSFMT2-132049:371-23:fb9f4eff4bf77-fffffbfefff37" + + +/* PARAMETERS FOR ALTIVEC */ +#if defined(__APPLE__) /* For OSX */ + #define ALTI_SL1 (vector unsigned int)(7, 7, 7, 7) + #define ALTI_SL1_PERM \ + (vector unsigned char)(2,3,4,5,6,7,30,30,10,11,12,13,14,15,0,1) + #define ALTI_SL1_MSK \ + (vector unsigned int)(0xffffffffU,0xff800000U,0xffffffffU,0xff800000U) + #define ALTI_MSK (vector unsigned int)(DSFMT_MSK32_1, \ + DSFMT_MSK32_2, DSFMT_MSK32_3, DSFMT_MSK32_4) +#else /* For OTHER OSs(Linux?) */ + #define ALTI_SL1 {7, 7, 7, 7} + #define ALTI_SL1_PERM \ + {2,3,4,5,6,7,30,30,10,11,12,13,14,15,0,1} + #define ALTI_SL1_MSK \ + {0xffffffffU,0xff800000U,0xffffffffU,0xff800000U} + #define ALTI_MSK \ + {DSFMT_MSK32_1, DSFMT_MSK32_2, DSFMT_MSK32_3, DSFMT_MSK32_4} +#endif + +#endif /* DSFMT_PARAMS132049_H */ diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/dSFMT-params19937.h julia-0.2.1~quantal7/deps/random/dsfmt-2.2/dSFMT-params19937.h --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/dSFMT-params19937.h 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/dSFMT-params19937.h 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,40 @@ +#ifndef DSFMT_PARAMS19937_H +#define DSFMT_PARAMS19937_H + +/* #define DSFMT_N 191 */ +/* #define DSFMT_MAXDEGREE 19992 */ +#define DSFMT_POS1 117 +#define DSFMT_SL1 19 +#define DSFMT_MSK1 UINT64_C(0x000ffafffffffb3f) +#define DSFMT_MSK2 UINT64_C(0x000ffdfffc90fffd) +#define DSFMT_MSK32_1 0x000ffaffU +#define DSFMT_MSK32_2 0xfffffb3fU +#define DSFMT_MSK32_3 0x000ffdffU +#define DSFMT_MSK32_4 0xfc90fffdU +#define DSFMT_FIX1 UINT64_C(0x90014964b32f4329) +#define DSFMT_FIX2 UINT64_C(0x3b8d12ac548a7c7a) +#define DSFMT_PCV1 UINT64_C(0x3d84e1ac0dc82880) +#define DSFMT_PCV2 UINT64_C(0x0000000000000001) +#define DSFMT_IDSTR "dSFMT2-19937:117-19:ffafffffffb3f-ffdfffc90fffd" + + +/* PARAMETERS FOR ALTIVEC */ +#if defined(__APPLE__) /* For OSX */ + #define ALTI_SL1 (vector unsigned int)(3, 3, 3, 3) + #define ALTI_SL1_PERM \ + (vector unsigned char)(2,3,4,5,6,7,30,30,10,11,12,13,14,15,0,1) + #define ALTI_SL1_MSK \ + (vector unsigned int)(0xffffffffU,0xfff80000U,0xffffffffU,0xfff80000U) + #define ALTI_MSK (vector unsigned int)(DSFMT_MSK32_1, \ + DSFMT_MSK32_2, DSFMT_MSK32_3, DSFMT_MSK32_4) +#else /* For OTHER OSs(Linux?) */ + #define ALTI_SL1 {3, 3, 3, 3} + #define ALTI_SL1_PERM \ + {2,3,4,5,6,7,30,30,10,11,12,13,14,15,0,1} + #define ALTI_SL1_MSK \ + {0xffffffffU,0xfff80000U,0xffffffffU,0xfff80000U} + #define ALTI_MSK \ + {DSFMT_MSK32_1, DSFMT_MSK32_2, DSFMT_MSK32_3, DSFMT_MSK32_4} +#endif + +#endif /* DSFMT_PARAMS19937_H */ diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/dSFMT-params216091.h julia-0.2.1~quantal7/deps/random/dsfmt-2.2/dSFMT-params216091.h --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/dSFMT-params216091.h 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/dSFMT-params216091.h 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,40 @@ +#ifndef DSFMT_PARAMS216091_H +#define DSFMT_PARAMS216091_H + +/* #define DSFMT_N 2077 */ +/* #define DSFMT_MAXDEGREE 216136 */ +#define DSFMT_POS1 1890 +#define DSFMT_SL1 23 +#define DSFMT_MSK1 UINT64_C(0x000bf7df7fefcfff) +#define DSFMT_MSK2 UINT64_C(0x000e7ffffef737ff) +#define DSFMT_MSK32_1 0x000bf7dfU +#define DSFMT_MSK32_2 0x7fefcfffU +#define DSFMT_MSK32_3 0x000e7fffU +#define DSFMT_MSK32_4 0xfef737ffU +#define DSFMT_FIX1 UINT64_C(0xd7f95a04764c27d7) +#define DSFMT_FIX2 UINT64_C(0x6a483861810bebc2) +#define DSFMT_PCV1 UINT64_C(0x3af0a8f3d5600000) +#define DSFMT_PCV2 UINT64_C(0x0000000000000001) +#define DSFMT_IDSTR "dSFMT2-216091:1890-23:bf7df7fefcfff-e7ffffef737ff" + + +/* PARAMETERS FOR ALTIVEC */ +#if defined(__APPLE__) /* For OSX */ + #define ALTI_SL1 (vector unsigned int)(7, 7, 7, 7) + #define ALTI_SL1_PERM \ + (vector unsigned char)(2,3,4,5,6,7,30,30,10,11,12,13,14,15,0,1) + #define ALTI_SL1_MSK \ + (vector unsigned int)(0xffffffffU,0xff800000U,0xffffffffU,0xff800000U) + #define ALTI_MSK (vector unsigned int)(DSFMT_MSK32_1, \ + DSFMT_MSK32_2, DSFMT_MSK32_3, DSFMT_MSK32_4) +#else /* For OTHER OSs(Linux?) */ + #define ALTI_SL1 {7, 7, 7, 7} + #define ALTI_SL1_PERM \ + {2,3,4,5,6,7,30,30,10,11,12,13,14,15,0,1} + #define ALTI_SL1_MSK \ + {0xffffffffU,0xff800000U,0xffffffffU,0xff800000U} + #define ALTI_MSK \ + {DSFMT_MSK32_1, DSFMT_MSK32_2, DSFMT_MSK32_3, DSFMT_MSK32_4} +#endif + +#endif /* DSFMT_PARAMS216091_H */ diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/dSFMT-params2203.h julia-0.2.1~quantal7/deps/random/dsfmt-2.2/dSFMT-params2203.h --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/dSFMT-params2203.h 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/dSFMT-params2203.h 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,40 @@ +#ifndef DSFMT_PARAMS2203_H +#define DSFMT_PARAMS2203_H + +/* #define DSFMT_N 20 */ +/* #define DSFMT_MAXDEGREE 2208 */ +#define DSFMT_POS1 7 +#define DSFMT_SL1 19 +#define DSFMT_MSK1 UINT64_C(0x000fdffff5edbfff) +#define DSFMT_MSK2 UINT64_C(0x000f77fffffffbfe) +#define DSFMT_MSK32_1 0x000fdfffU +#define DSFMT_MSK32_2 0xf5edbfffU +#define DSFMT_MSK32_3 0x000f77ffU +#define DSFMT_MSK32_4 0xfffffbfeU +#define DSFMT_FIX1 UINT64_C(0xb14e907a39338485) +#define DSFMT_FIX2 UINT64_C(0xf98f0735c637ef90) +#define DSFMT_PCV1 UINT64_C(0x8000000000000000) +#define DSFMT_PCV2 UINT64_C(0x0000000000000001) +#define DSFMT_IDSTR "dSFMT2-2203:7-19:fdffff5edbfff-f77fffffffbfe" + + +/* PARAMETERS FOR ALTIVEC */ +#if defined(__APPLE__) /* For OSX */ + #define ALTI_SL1 (vector unsigned int)(3, 3, 3, 3) + #define ALTI_SL1_PERM \ + (vector unsigned char)(2,3,4,5,6,7,30,30,10,11,12,13,14,15,0,1) + #define ALTI_SL1_MSK \ + (vector unsigned int)(0xffffffffU,0xfff80000U,0xffffffffU,0xfff80000U) + #define ALTI_MSK (vector unsigned int)(DSFMT_MSK32_1, \ + DSFMT_MSK32_2, DSFMT_MSK32_3, DSFMT_MSK32_4) +#else /* For OTHER OSs(Linux?) */ + #define ALTI_SL1 {3, 3, 3, 3} + #define ALTI_SL1_PERM \ + {2,3,4,5,6,7,30,30,10,11,12,13,14,15,0,1} + #define ALTI_SL1_MSK \ + {0xffffffffU,0xfff80000U,0xffffffffU,0xfff80000U} + #define ALTI_MSK \ + {DSFMT_MSK32_1, DSFMT_MSK32_2, DSFMT_MSK32_3, DSFMT_MSK32_4} +#endif + +#endif /* DSFMT_PARAMS2203_H */ diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/dSFMT-params4253.h julia-0.2.1~quantal7/deps/random/dsfmt-2.2/dSFMT-params4253.h --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/dSFMT-params4253.h 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/dSFMT-params4253.h 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,40 @@ +#ifndef DSFMT_PARAMS4253_H +#define DSFMT_PARAMS4253_H + +/* #define DSFMT_N 40 */ +/* #define DSFMT_MAXDEGREE 4288 */ +#define DSFMT_POS1 19 +#define DSFMT_SL1 19 +#define DSFMT_MSK1 UINT64_C(0x0007b7fffef5feff) +#define DSFMT_MSK2 UINT64_C(0x000ffdffeffefbfc) +#define DSFMT_MSK32_1 0x0007b7ffU +#define DSFMT_MSK32_2 0xfef5feffU +#define DSFMT_MSK32_3 0x000ffdffU +#define DSFMT_MSK32_4 0xeffefbfcU +#define DSFMT_FIX1 UINT64_C(0x80901b5fd7a11c65) +#define DSFMT_FIX2 UINT64_C(0x5a63ff0e7cb0ba74) +#define DSFMT_PCV1 UINT64_C(0x1ad277be12000000) +#define DSFMT_PCV2 UINT64_C(0x0000000000000001) +#define DSFMT_IDSTR "dSFMT2-4253:19-19:7b7fffef5feff-ffdffeffefbfc" + + +/* PARAMETERS FOR ALTIVEC */ +#if defined(__APPLE__) /* For OSX */ + #define ALTI_SL1 (vector unsigned int)(3, 3, 3, 3) + #define ALTI_SL1_PERM \ + (vector unsigned char)(2,3,4,5,6,7,30,30,10,11,12,13,14,15,0,1) + #define ALTI_SL1_MSK \ + (vector unsigned int)(0xffffffffU,0xfff80000U,0xffffffffU,0xfff80000U) + #define ALTI_MSK (vector unsigned int)(DSFMT_MSK32_1, \ + DSFMT_MSK32_2, DSFMT_MSK32_3, DSFMT_MSK32_4) +#else /* For OTHER OSs(Linux?) */ + #define ALTI_SL1 {3, 3, 3, 3} + #define ALTI_SL1_PERM \ + {2,3,4,5,6,7,30,30,10,11,12,13,14,15,0,1} + #define ALTI_SL1_MSK \ + {0xffffffffU,0xfff80000U,0xffffffffU,0xfff80000U} + #define ALTI_MSK \ + {DSFMT_MSK32_1, DSFMT_MSK32_2, DSFMT_MSK32_3, DSFMT_MSK32_4} +#endif + +#endif /* DSFMT_PARAMS4253_H */ diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/dSFMT-params44497.h julia-0.2.1~quantal7/deps/random/dsfmt-2.2/dSFMT-params44497.h --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/dSFMT-params44497.h 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/dSFMT-params44497.h 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,40 @@ +#ifndef DSFMT_PARAMS44497_H +#define DSFMT_PARAMS44497_H + +/* #define DSFMT_N 427 */ +/* #define DSFMT_MAXDEGREE 44536 */ +#define DSFMT_POS1 304 +#define DSFMT_SL1 19 +#define DSFMT_MSK1 UINT64_C(0x000ff6dfffffffef) +#define DSFMT_MSK2 UINT64_C(0x0007ffdddeefff6f) +#define DSFMT_MSK32_1 0x000ff6dfU +#define DSFMT_MSK32_2 0xffffffefU +#define DSFMT_MSK32_3 0x0007ffddU +#define DSFMT_MSK32_4 0xdeefff6fU +#define DSFMT_FIX1 UINT64_C(0x75d910f235f6e10e) +#define DSFMT_FIX2 UINT64_C(0x7b32158aedc8e969) +#define DSFMT_PCV1 UINT64_C(0x4c3356b2a0000000) +#define DSFMT_PCV2 UINT64_C(0x0000000000000001) +#define DSFMT_IDSTR "dSFMT2-44497:304-19:ff6dfffffffef-7ffdddeefff6f" + + +/* PARAMETERS FOR ALTIVEC */ +#if defined(__APPLE__) /* For OSX */ + #define ALTI_SL1 (vector unsigned int)(3, 3, 3, 3) + #define ALTI_SL1_PERM \ + (vector unsigned char)(2,3,4,5,6,7,30,30,10,11,12,13,14,15,0,1) + #define ALTI_SL1_MSK \ + (vector unsigned int)(0xffffffffU,0xfff80000U,0xffffffffU,0xfff80000U) + #define ALTI_MSK (vector unsigned int)(DSFMT_MSK32_1, \ + DSFMT_MSK32_2, DSFMT_MSK32_3, DSFMT_MSK32_4) +#else /* For OTHER OSs(Linux?) */ + #define ALTI_SL1 {3, 3, 3, 3} + #define ALTI_SL1_PERM \ + {2,3,4,5,6,7,30,30,10,11,12,13,14,15,0,1} + #define ALTI_SL1_MSK \ + {0xffffffffU,0xfff80000U,0xffffffffU,0xfff80000U} + #define ALTI_MSK \ + {DSFMT_MSK32_1, DSFMT_MSK32_2, DSFMT_MSK32_3, DSFMT_MSK32_4} +#endif + +#endif /* DSFMT_PARAMS44497_H */ diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/dSFMT-params521.h julia-0.2.1~quantal7/deps/random/dsfmt-2.2/dSFMT-params521.h --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/dSFMT-params521.h 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/dSFMT-params521.h 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,40 @@ +#ifndef DSFMT_PARAMS521_H +#define DSFMT_PARAMS521_H + +/* #define DSFMT_N 4 */ +/* #define DSFMT_MAXDEGREE 544 */ +#define DSFMT_POS1 3 +#define DSFMT_SL1 25 +#define DSFMT_MSK1 UINT64_C(0x000fbfefff77efff) +#define DSFMT_MSK2 UINT64_C(0x000ffeebfbdfbfdf) +#define DSFMT_MSK32_1 0x000fbfefU +#define DSFMT_MSK32_2 0xff77efffU +#define DSFMT_MSK32_3 0x000ffeebU +#define DSFMT_MSK32_4 0xfbdfbfdfU +#define DSFMT_FIX1 UINT64_C(0xcfb393d661638469) +#define DSFMT_FIX2 UINT64_C(0xc166867883ae2adb) +#define DSFMT_PCV1 UINT64_C(0xccaa588000000000) +#define DSFMT_PCV2 UINT64_C(0x0000000000000001) +#define DSFMT_IDSTR "dSFMT2-521:3-25:fbfefff77efff-ffeebfbdfbfdf" + + +/* PARAMETERS FOR ALTIVEC */ +#if defined(__APPLE__) /* For OSX */ + #define ALTI_SL1 (vector unsigned int)(1, 1, 1, 1) + #define ALTI_SL1_PERM \ + (vector unsigned char)(3,4,5,6,7,29,29,29,11,12,13,14,15,0,1,2) + #define ALTI_SL1_MSK \ + (vector unsigned int)(0xffffffffU,0xfe000000U,0xffffffffU,0xfe000000U) + #define ALTI_MSK (vector unsigned int)(DSFMT_MSK32_1, \ + DSFMT_MSK32_2, DSFMT_MSK32_3, DSFMT_MSK32_4) +#else /* For OTHER OSs(Linux?) */ + #define ALTI_SL1 {1, 1, 1, 1} + #define ALTI_SL1_PERM \ + {3,4,5,6,7,29,29,29,11,12,13,14,15,0,1,2} + #define ALTI_SL1_MSK \ + {0xffffffffU,0xfe000000U,0xffffffffU,0xfe000000U} + #define ALTI_MSK \ + {DSFMT_MSK32_1, DSFMT_MSK32_2, DSFMT_MSK32_3, DSFMT_MSK32_4} +#endif + +#endif /* DSFMT_PARAMS521_H */ diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/dSFMT-params86243.h julia-0.2.1~quantal7/deps/random/dsfmt-2.2/dSFMT-params86243.h --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/dSFMT-params86243.h 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/dSFMT-params86243.h 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,40 @@ +#ifndef DSFMT_PARAMS86243_H +#define DSFMT_PARAMS86243_H + +/* #define DSFMT_N 829 */ +/* #define DSFMT_MAXDEGREE 86344 */ +#define DSFMT_POS1 231 +#define DSFMT_SL1 13 +#define DSFMT_MSK1 UINT64_C(0x000ffedff6ffffdf) +#define DSFMT_MSK2 UINT64_C(0x000ffff7fdffff7e) +#define DSFMT_MSK32_1 0x000ffedfU +#define DSFMT_MSK32_2 0xf6ffffdfU +#define DSFMT_MSK32_3 0x000ffff7U +#define DSFMT_MSK32_4 0xfdffff7eU +#define DSFMT_FIX1 UINT64_C(0x1d553e776b975e68) +#define DSFMT_FIX2 UINT64_C(0x648faadf1416bf91) +#define DSFMT_PCV1 UINT64_C(0x5f2cd03e2758a373) +#define DSFMT_PCV2 UINT64_C(0xc0b7eb8410000001) +#define DSFMT_IDSTR "dSFMT2-86243:231-13:ffedff6ffffdf-ffff7fdffff7e" + + +/* PARAMETERS FOR ALTIVEC */ +#if defined(__APPLE__) /* For OSX */ + #define ALTI_SL1 (vector unsigned int)(5, 5, 5, 5) + #define ALTI_SL1_PERM \ + (vector unsigned char)(1,2,3,4,5,6,7,31,9,10,11,12,13,14,15,0) + #define ALTI_SL1_MSK \ + (vector unsigned int)(0xffffffffU,0xffffe000U,0xffffffffU,0xffffe000U) + #define ALTI_MSK (vector unsigned int)(DSFMT_MSK32_1, \ + DSFMT_MSK32_2, DSFMT_MSK32_3, DSFMT_MSK32_4) +#else /* For OTHER OSs(Linux?) */ + #define ALTI_SL1 {5, 5, 5, 5} + #define ALTI_SL1_PERM \ + {1,2,3,4,5,6,7,31,9,10,11,12,13,14,15,0} + #define ALTI_SL1_MSK \ + {0xffffffffU,0xffffe000U,0xffffffffU,0xffffe000U} + #define ALTI_MSK \ + {DSFMT_MSK32_1, DSFMT_MSK32_2, DSFMT_MSK32_3, DSFMT_MSK32_4} +#endif + +#endif /* DSFMT_PARAMS86243_H */ diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/dSFMT-params.h julia-0.2.1~quantal7/deps/random/dsfmt-2.2/dSFMT-params.h --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/dSFMT-params.h 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/dSFMT-params.h 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,87 @@ +#ifndef DSFMT_PARAMS_H +#define DSFMT_PARAMS_H + +#include "dSFMT.h" + +/*---------------------- + the parameters of DSFMT + following definitions are in dSFMT-paramsXXXX.h file. + ----------------------*/ +/** the pick up position of the array. +#define DSFMT_POS1 122 +*/ + +/** the parameter of shift left as four 32-bit registers. +#define DSFMT_SL1 18 + */ + +/** the parameter of shift right as four 32-bit registers. +#define DSFMT_SR1 12 +*/ + +/** A bitmask, used in the recursion. These parameters are introduced + * to break symmetry of SIMD. +#define DSFMT_MSK1 (uint64_t)0xdfffffefULL +#define DSFMT_MSK2 (uint64_t)0xddfecb7fULL +*/ + +/** These definitions are part of a 128-bit period certification vector. +#define DSFMT_PCV1 UINT64_C(0x00000001) +#define DSFMT_PCV2 UINT64_C(0x00000000) +*/ + +#define DSFMT_LOW_MASK UINT64_C(0x000FFFFFFFFFFFFF) +#define DSFMT_HIGH_CONST UINT64_C(0x3FF0000000000000) +#define DSFMT_SR 12 + +/* for sse2 */ +#if defined(HAVE_SSE2) + #define SSE2_SHUFF 0x1b +#elif defined(HAVE_ALTIVEC) + #if defined(__APPLE__) /* For OSX */ + #define ALTI_SR (vector unsigned char)(4) + #define ALTI_SR_PERM \ + (vector unsigned char)(15,0,1,2,3,4,5,6,15,8,9,10,11,12,13,14) + #define ALTI_SR_MSK \ + (vector unsigned int)(0x000fffffU,0xffffffffU,0x000fffffU,0xffffffffU) + #define ALTI_PERM \ + (vector unsigned char)(12,13,14,15,8,9,10,11,4,5,6,7,0,1,2,3) + #else + #define ALTI_SR {4} + #define ALTI_SR_PERM {15,0,1,2,3,4,5,6,15,8,9,10,11,12,13,14} + #define ALTI_SR_MSK {0x000fffffU,0xffffffffU,0x000fffffU,0xffffffffU} + #define ALTI_PERM {12,13,14,15,8,9,10,11,4,5,6,7,0,1,2,3} + #endif +#endif + +#if DSFMT_MEXP == 521 + #include "dSFMT-params521.h" +#elif DSFMT_MEXP == 1279 + #include "dSFMT-params1279.h" +#elif DSFMT_MEXP == 2203 + #include "dSFMT-params2203.h" +#elif DSFMT_MEXP == 4253 + #include "dSFMT-params4253.h" +#elif DSFMT_MEXP == 11213 + #include "dSFMT-params11213.h" +#elif DSFMT_MEXP == 19937 + #include "dSFMT-params19937.h" +#elif DSFMT_MEXP == 44497 + #include "dSFMT-params44497.h" +#elif DSFMT_MEXP == 86243 + #include "dSFMT-params86243.h" +#elif DSFMT_MEXP == 132049 + #include "dSFMT-params132049.h" +#elif DSFMT_MEXP == 216091 + #include "dSFMT-params216091.h" +#else +#ifdef __GNUC__ + #error "DSFMT_MEXP is not valid." + #undef DSFMT_MEXP +#else + #undef DSFMT_MEXP +#endif + +#endif + +#endif /* DSFMT_PARAMS_H */ diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/FILES.txt julia-0.2.1~quantal7/deps/random/dsfmt-2.2/FILES.txt --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/FILES.txt 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/FILES.txt 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,27 @@ +This archive contails following directories and files. + +TOP DIRECTORY +FILES.txt: This file. +CHANGE-LOG.txt change log. +LICENSE.txt: License file. +Makefile: Makefile for test programs. +dSFMT.h: Header file. +dSFMT-common.h: Header file. +dSFMT-params.h: parameter file control for various Mersenne expornent +dSFMT-params521.h: parameters for period of 2^{521}-1 +dSFMT-params1279.h: parameters for period of 2^{1279}-1 +dSFMT-params2203.h: parameters for period of 2^{2203}-1 +dSFMT-params4253.h: parameters for period of 2^{4253}-1 +dSFMT-params11213.h: parameters for period of 2^{11213}-1 +dSFMT-params19937.h: parameters for period of 2^{19937}-1 +dSFMT.c: C code for standard C (c99) and unix like systems. +test.c: Test driver for standard C. +check.sh: Test shell script. +dSFMT.521.out.txt: correct output of dSFMT MEXP=521 +dSFMT.1279.out.txt: correct output of dSFMT MEXP=1279 +dSFMT.2203.out.txt: correct output of dSFMT MEXP=2203 +dSFMT.4253.out.txt: correct output of dSFMT MEXP=4253 +dSFMT.11213.out.txt: correct output of dSFMT MEXP=11213 +dSFMT.19937.out.txt: correct output of dSFMT MEXP=19937 + +html DIRECTORY: The documents generated by doxygen. diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/annotated.html julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/annotated.html --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/annotated.html 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/annotated.html 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,72 @@ + + + + + +dSFMT: Data Structures + + + + + + + + +
+ + +
+ + + + + + + + + + + +
+
dSFMT +  2.2 +
+ +
+
+ + + + +
+
+
+
Data Structures
+
+
+
Here are the data structures with brief descriptions:
+ + +
DSFMT_T128-bit internal state array
W128_T128-bit data structure
+
+ + +
+Generated on Fri Jun 29 2012 16:17:32 for dSFMT by   +doxygen + 1.8.0 +
+ + + Binary files /tmp/qOffMdH2Ko/julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/bc_s.png and /tmp/lEflhxCx4d/julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/bc_s.png differ Binary files /tmp/qOffMdH2Ko/julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/bdwn.png and /tmp/lEflhxCx4d/julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/bdwn.png differ diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/classes.html julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/classes.html --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/classes.html 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/classes.html 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,78 @@ + + + + + +dSFMT: Data Structure Index + + + + + + + + +
+ + +
+ + + + + + + + + + + +
+
dSFMT +  2.2 +
+ +
+
+ + + + +
+
+
+
Data Structure Index
+
+
+
D | W
+ + + + + +
  D  
+
  W  
+
DSFMT_T   W128_T   
+
D | W
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+ + +
+Generated on Fri Jun 29 2012 16:17:32 for dSFMT by   +doxygen + 1.8.0 +
+ + + Binary files /tmp/qOffMdH2Ko/julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/closed.png and /tmp/lEflhxCx4d/julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/closed.png differ diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/doxygen.css julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/doxygen.css --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/doxygen.css 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/doxygen.css 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,1012 @@ +/* The standard CSS for doxygen */ + +body, table, div, p, dl { + font-family: Lucida Grande, Verdana, Geneva, Arial, sans-serif; + font-size: 13px; + line-height: 1.3; +} + +/* @group Heading Levels */ + +h1 { + font-size: 150%; +} + +.title { + font-size: 150%; + font-weight: bold; + margin: 10px 2px; +} + +h2 { + font-size: 120%; +} + +h3 { + font-size: 100%; +} + +dt { + font-weight: bold; +} + +div.multicol { + -moz-column-gap: 1em; + -webkit-column-gap: 1em; + -moz-column-count: 3; + -webkit-column-count: 3; +} + +p.startli, p.startdd, p.starttd { + margin-top: 2px; +} + +p.endli { + margin-bottom: 0px; +} + +p.enddd { + margin-bottom: 4px; +} + +p.endtd { + margin-bottom: 2px; +} + +/* @end */ + +caption { + font-weight: bold; +} + +span.legend { + font-size: 70%; + text-align: center; +} + +h3.version { + font-size: 90%; + text-align: center; +} + +div.qindex, div.navtab{ + background-color: #EBEFF6; + border: 1px solid #A3B4D7; + text-align: center; +} + +div.qindex, div.navpath { + width: 100%; + line-height: 140%; +} + +div.navtab { + margin-right: 15px; +} + +/* @group Link Styling */ + +a { + color: #3D578C; + font-weight: normal; + text-decoration: none; +} + +.contents a:visited { + color: #4665A2; +} + +a:hover { + text-decoration: underline; +} + +a.qindex { + font-weight: bold; +} + +a.qindexHL { + font-weight: bold; + background-color: #9CAFD4; + color: #ffffff; + border: 1px double #869DCA; +} + +.contents a.qindexHL:visited { + color: #ffffff; +} + +a.el { + font-weight: bold; +} + +a.elRef { +} + +a.code, a.code:visited { + color: #4665A2; +} + +a.codeRef, a.codeRef:visited { + color: #4665A2; +} + +/* @end */ + +dl.el { + margin-left: -1cm; +} + +.fragment { + font-family: monospace, fixed; + font-size: 105%; +} + +pre.fragment { + border: 1px solid #C4CFE5; + background-color: #FBFCFD; + padding: 4px 6px; + margin: 4px 8px 4px 2px; + overflow: auto; + word-wrap: break-word; + font-size: 9pt; + line-height: 125%; +} + +div.ah { + background-color: black; + font-weight: bold; + color: #ffffff; + margin-bottom: 3px; + margin-top: 3px; + padding: 0.2em; + border: solid thin #333; + border-radius: 0.5em; + -webkit-border-radius: .5em; + -moz-border-radius: .5em; + box-shadow: 2px 2px 3px #999; + -webkit-box-shadow: 2px 2px 3px #999; + -moz-box-shadow: rgba(0, 0, 0, 0.15) 2px 2px 2px; + background-image: -webkit-gradient(linear, left top, left bottom, from(#eee), to(#000),color-stop(0.3, #444)); + background-image: -moz-linear-gradient(center top, #eee 0%, #444 40%, #000); +} + +div.groupHeader { + margin-left: 16px; + margin-top: 12px; + font-weight: bold; +} + +div.groupText { + margin-left: 16px; + font-style: italic; +} + +body { + background-color: white; + color: black; + margin: 0; +} + +div.contents { + margin-top: 10px; + margin-left: 8px; + margin-right: 8px; +} + +td.indexkey { + background-color: #EBEFF6; + font-weight: bold; + border: 1px solid #C4CFE5; + margin: 2px 0px 2px 0; + padding: 2px 10px; + white-space: nowrap; + vertical-align: top; +} + +td.indexvalue { + background-color: #EBEFF6; + border: 1px solid #C4CFE5; + padding: 2px 10px; + margin: 2px 0px; +} + +tr.memlist { + background-color: #EEF1F7; +} + +p.formulaDsp { + text-align: center; +} + +img.formulaDsp { + +} + +img.formulaInl { + vertical-align: middle; +} + +div.center { + text-align: center; + margin-top: 0px; + margin-bottom: 0px; + padding: 0px; +} + +div.center img { + border: 0px; +} + +address.footer { + text-align: right; + padding-right: 12px; +} + +img.footer { + border: 0px; + vertical-align: middle; +} + +/* @group Code Colorization */ + +span.keyword { + color: #008000 +} + +span.keywordtype { + color: #604020 +} + +span.keywordflow { + color: #e08000 +} + +span.comment { + color: #800000 +} + +span.preprocessor { + color: #806020 +} + +span.stringliteral { + color: #002080 +} + +span.charliteral { + color: #008080 +} + +span.vhdldigit { + color: #ff00ff +} + +span.vhdlchar { + color: #000000 +} + +span.vhdlkeyword { + color: #700070 +} + +span.vhdllogic { + color: #ff0000 +} + +blockquote { + background-color: #F7F8FB; + border-left: 2px solid #9CAFD4; + margin: 0 24px 0 4px; + padding: 0 12px 0 16px; +} + +/* @end */ + +/* +.search { + color: #003399; + font-weight: bold; +} + +form.search { + margin-bottom: 0px; + margin-top: 0px; +} + +input.search { + font-size: 75%; + color: #000080; + font-weight: normal; + background-color: #e8eef2; +} +*/ + +td.tiny { + font-size: 75%; +} + +.dirtab { + padding: 4px; + border-collapse: collapse; + border: 1px solid #A3B4D7; +} + +th.dirtab { + background: #EBEFF6; + font-weight: bold; +} + +hr { + height: 0px; + border: none; + border-top: 1px solid #4A6AAA; +} + +hr.footer { + height: 1px; +} + +/* @group Member Descriptions */ + +table.memberdecls { + border-spacing: 0px; + padding: 0px; +} + +.mdescLeft, .mdescRight, +.memItemLeft, .memItemRight, +.memTemplItemLeft, .memTemplItemRight, .memTemplParams { + background-color: #F9FAFC; + border: none; + margin: 4px; + padding: 1px 0 0 8px; +} + +.mdescLeft, .mdescRight { + padding: 0px 8px 4px 8px; + color: #555; +} + +.memItemLeft, .memItemRight, .memTemplParams { + border-top: 1px solid #C4CFE5; +} + +.memItemLeft, .memTemplItemLeft { + white-space: nowrap; +} + +.memItemRight { + width: 100%; +} + +.memTemplParams { + color: #4665A2; + white-space: nowrap; +} + +/* @end */ + +/* @group Member Details */ + +/* Styles for detailed member documentation */ + +.memtemplate { + font-size: 80%; + color: #4665A2; + font-weight: normal; + margin-left: 9px; +} + +.memnav { + background-color: #EBEFF6; + border: 1px solid #A3B4D7; + text-align: center; + margin: 2px; + margin-right: 15px; + padding: 2px; +} + +.mempage { + width: 100%; +} + +.memitem { + padding: 0; + margin-bottom: 10px; + margin-right: 5px; +} + +.memname { + white-space: nowrap; + font-weight: bold; + margin-left: 6px; +} + +.memproto, dl.reflist dt { + border-top: 1px solid #A8B8D9; + border-left: 1px solid #A8B8D9; + border-right: 1px solid #A8B8D9; + padding: 6px 0px 6px 0px; + color: #253555; + font-weight: bold; + text-shadow: 0px 1px 1px rgba(255, 255, 255, 0.9); + /* opera specific markup */ + box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15); + border-top-right-radius: 8px; + border-top-left-radius: 8px; + /* firefox specific markup */ + -moz-box-shadow: rgba(0, 0, 0, 0.15) 5px 5px 5px; + -moz-border-radius-topright: 8px; + -moz-border-radius-topleft: 8px; + /* webkit specific markup */ + -webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15); + -webkit-border-top-right-radius: 8px; + -webkit-border-top-left-radius: 8px; + background-image:url('nav_f.png'); + background-repeat:repeat-x; + background-color: #E2E8F2; + +} + +.memdoc, dl.reflist dd { + border-bottom: 1px solid #A8B8D9; + border-left: 1px solid #A8B8D9; + border-right: 1px solid #A8B8D9; + padding: 2px 5px; + background-color: #FBFCFD; + border-top-width: 0; + /* opera specific markup */ + border-bottom-left-radius: 8px; + border-bottom-right-radius: 8px; + box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15); + /* firefox specific markup */ + -moz-border-radius-bottomleft: 8px; + -moz-border-radius-bottomright: 8px; + -moz-box-shadow: rgba(0, 0, 0, 0.15) 5px 5px 5px; + background-image: -moz-linear-gradient(center top, #FFFFFF 0%, #FFFFFF 60%, #F7F8FB 95%, #EEF1F7); + /* webkit specific markup */ + -webkit-border-bottom-left-radius: 8px; + -webkit-border-bottom-right-radius: 8px; + -webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15); + background-image: -webkit-gradient(linear,center top,center bottom,from(#FFFFFF), color-stop(0.6,#FFFFFF), color-stop(0.60,#FFFFFF), color-stop(0.95,#F7F8FB), to(#EEF1F7)); +} + +dl.reflist dt { + padding: 5px; +} + +dl.reflist dd { + margin: 0px 0px 10px 0px; + padding: 5px; +} + +.paramkey { + text-align: right; +} + +.paramtype { + white-space: nowrap; +} + +.paramname { + color: #602020; + white-space: nowrap; +} +.paramname em { + font-style: normal; +} + +.params, .retval, .exception, .tparams { + border-spacing: 6px 2px; +} + +.params .paramname, .retval .paramname { + font-weight: bold; + vertical-align: top; +} + +.params .paramtype { + font-style: italic; + vertical-align: top; +} + +.params .paramdir { + font-family: "courier new",courier,monospace; + vertical-align: top; +} + + + + +/* @end */ + +/* @group Directory (tree) */ + +/* for the tree view */ + +.ftvtree { + font-family: sans-serif; + margin: 0px; +} + +/* these are for tree view when used as main index */ + +.directory { + font-size: 9pt; + font-weight: bold; + margin: 5px; +} + +.directory h3 { + margin: 0px; + margin-top: 1em; + font-size: 11pt; +} + +/* +The following two styles can be used to replace the root node title +with an image of your choice. Simply uncomment the next two styles, +specify the name of your image and be sure to set 'height' to the +proper pixel height of your image. +*/ + +/* +.directory h3.swap { + height: 61px; + background-repeat: no-repeat; + background-image: url("yourimage.gif"); +} +.directory h3.swap span { + display: none; +} +*/ + +.directory > h3 { + margin-top: 0; +} + +.directory p { + margin: 0px; + white-space: nowrap; +} + +.directory div { + display: none; + margin: 0px; +} + +.directory img { + vertical-align: -30%; +} + +/* these are for tree view when not used as main index */ + +.directory-alt { + font-size: 100%; + font-weight: bold; +} + +.directory-alt h3 { + margin: 0px; + margin-top: 1em; + font-size: 11pt; +} + +.directory-alt > h3 { + margin-top: 0; +} + +.directory-alt p { + margin: 0px; + white-space: nowrap; +} + +.directory-alt div { + display: none; + margin: 0px; +} + +.directory-alt img { + vertical-align: -30%; +} + +/* @end */ + +div.dynheader { + margin-top: 8px; +} + +address { + font-style: normal; + color: #2A3D61; +} + +table.doxtable { + border-collapse:collapse; + margin-top: 4px; + margin-bottom: 4px; +} + +table.doxtable td, table.doxtable th { + border: 1px solid #2D4068; + padding: 3px 7px 2px; +} + +table.doxtable th { + background-color: #374F7F; + color: #FFFFFF; + font-size: 110%; + padding-bottom: 4px; + padding-top: 5px; +} + +table.fieldtable { + width: 100%; + margin-bottom: 10px; + border: 1px solid #A8B8D9; + border-spacing: 0px; + -moz-border-radius: 4px; + -webkit-border-radius: 4px; + border-radius: 4px; + -moz-box-shadow: rgba(0, 0, 0, 0.15) 2px 2px 2px; + -webkit-box-shadow: 2px 2px 2px rgba(0, 0, 0, 0.15); + box-shadow: 2px 2px 2px rgba(0, 0, 0, 0.15); +} + +.fieldtable td, .fieldtable th { + padding: 3px 7px 2px; +} + +.fieldtable td.fieldtype, .fieldtable td.fieldname { + white-space: nowrap; + border-right: 1px solid #A8B8D9; + border-bottom: 1px solid #A8B8D9; + vertical-align: top; +} + +.fieldtable td.fielddoc { + border-bottom: 1px solid #A8B8D9; + width: 100%; +} + +.fieldtable tr:last-child td { + border-bottom: none; +} + +.fieldtable th { + background-image:url('nav_f.png'); + background-repeat:repeat-x; + background-color: #E2E8F2; + font-size: 90%; + color: #253555; + padding-bottom: 4px; + padding-top: 5px; + text-align:left; + -moz-border-radius-topleft: 4px; + -moz-border-radius-topright: 4px; + -webkit-border-top-left-radius: 4px; + -webkit-border-top-right-radius: 4px; + border-top-left-radius: 4px; + border-top-right-radius: 4px; + border-bottom: 1px solid #A8B8D9; +} + + +.tabsearch { + top: 0px; + left: 10px; + height: 36px; + background-image: url('tab_b.png'); + z-index: 101; + overflow: hidden; + font-size: 13px; +} + +.navpath ul +{ + font-size: 11px; + background-image:url('tab_b.png'); + background-repeat:repeat-x; + height:30px; + line-height:30px; + color:#8AA0CC; + border:solid 1px #C2CDE4; + overflow:hidden; + margin:0px; + padding:0px; +} + +.navpath li +{ + list-style-type:none; + float:left; + padding-left:10px; + padding-right:15px; + background-image:url('bc_s.png'); + background-repeat:no-repeat; + background-position:right; + color:#364D7C; +} + +.navpath li.navelem a +{ + height:32px; + display:block; + text-decoration: none; + outline: none; +} + +.navpath li.navelem a:hover +{ + color:#6884BD; +} + +.navpath li.footer +{ + list-style-type:none; + float:right; + padding-left:10px; + padding-right:15px; + background-image:none; + background-repeat:no-repeat; + background-position:right; + color:#364D7C; + font-size: 8pt; +} + + +div.summary +{ + float: right; + font-size: 8pt; + padding-right: 5px; + width: 50%; + text-align: right; +} + +div.summary a +{ + white-space: nowrap; +} + +div.ingroups +{ + margin-left: 5px; + font-size: 8pt; + padding-left: 5px; + width: 50%; + text-align: left; +} + +div.ingroups a +{ + white-space: nowrap; +} + +div.header +{ + background-image:url('nav_h.png'); + background-repeat:repeat-x; + background-color: #F9FAFC; + margin: 0px; + border-bottom: 1px solid #C4CFE5; +} + +div.headertitle +{ + padding: 5px 5px 5px 7px; +} + +dl +{ + padding: 0 0 0 10px; +} + +/* dl.note, dl.warning, dl.attention, dl.pre, dl.post, dl.invariant, dl.deprecated, dl.todo, dl.test, dl.bug */ +dl.section +{ + border-left:4px solid; + padding: 0 0 0 6px; +} + +dl.note +{ + border-color: #D0C000; +} + +dl.warning, dl.attention +{ + border-color: #FF0000; +} + +dl.pre, dl.post, dl.invariant +{ + border-color: #00D000; +} + +dl.deprecated +{ + border-color: #505050; +} + +dl.todo +{ + border-color: #00C0E0; +} + +dl.test +{ + border-color: #3030E0; +} + +dl.bug +{ + border-color: #C08050; +} + +dl.section dd { + margin-bottom: 6px; +} + + +#projectlogo +{ + text-align: center; + vertical-align: bottom; + border-collapse: separate; +} + +#projectlogo img +{ + border: 0px none; +} + +#projectname +{ + font: 300% Tahoma, Arial,sans-serif; + margin: 0px; + padding: 2px 0px; +} + +#projectbrief +{ + font: 120% Tahoma, Arial,sans-serif; + margin: 0px; + padding: 0px; +} + +#projectnumber +{ + font: 50% Tahoma, Arial,sans-serif; + margin: 0px; + padding: 0px; +} + +#titlearea +{ + padding: 0px; + margin: 0px; + width: 100%; + border-bottom: 1px solid #5373B4; +} + +.image +{ + text-align: center; +} + +.dotgraph +{ + text-align: center; +} + +.mscgraph +{ + text-align: center; +} + +.caption +{ + font-weight: bold; +} + +div.zoom +{ + border: 1px solid #90A5CE; +} + +dl.citelist { + margin-bottom:50px; +} + +dl.citelist dt { + color:#334975; + float:left; + font-weight:bold; + margin-right:10px; + padding:5px; +} + +dl.citelist dd { + margin:2px 0; + padding:5px 0; +} + +div.toc { + padding: 14px 25px; + background-color: #F4F6FA; + border: 1px solid #D8DFEE; + border-radius: 7px 7px 7px 7px; + float: right; + height: auto; + margin: 0 20px 10px 10px; + width: 200px; +} + +div.toc li { + background: url("bdwn.png") no-repeat scroll 0 5px transparent; + font: 10px/1.2 Verdana,DejaVu Sans,Geneva,sans-serif; + margin-top: 5px; + padding-left: 10px; + padding-top: 2px; +} + +div.toc h3 { + font: bold 12px/1.2 Arial,FreeSans,sans-serif; + color: #4665A2; + border-bottom: 0 none; + margin: 0; +} + +div.toc ul { + list-style: none outside none; + border: medium none; + padding: 0px; +} + +div.toc li.level1 { + margin-left: 0px; +} + +div.toc li.level2 { + margin-left: 15px; +} + +div.toc li.level3 { + margin-left: 30px; +} + +div.toc li.level4 { + margin-left: 45px; +} + + +@media print +{ + #top { display: none; } + #side-nav { display: none; } + #nav-path { display: none; } + body { overflow:visible; } + h1, h2, h3, h4, h5, h6 { page-break-after: avoid; } + .summary { display: none; } + .memitem { page-break-inside: avoid; } + #doc-content + { + margin-left:0 !important; + height:auto !important; + width:auto !important; + overflow:inherit; + display:inline; + } + pre.fragment + { + overflow: visible; + text-wrap: unrestricted; + white-space: -moz-pre-wrap; /* Moz */ + white-space: -pre-wrap; /* Opera 4-6 */ + white-space: -o-pre-wrap; /* Opera 7 */ + white-space: pre-wrap; /* CSS3 */ + word-wrap: break-word; /* IE 5.5+ */ + } +} + Binary files /tmp/qOffMdH2Ko/julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/doxygen.png and /tmp/lEflhxCx4d/julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/doxygen.png differ diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/d_s_f_m_t_8c.html julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/d_s_f_m_t_8c.html --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/d_s_f_m_t_8c.html 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/d_s_f_m_t_8c.html 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,954 @@ + + + + + +dSFMT: dSFMT.c File Reference + + + + + + + + +
+ + +
+ + + + + + + + + + + +
+
dSFMT +  2.2 +
+ +
+
+ + + + +
+
+
+Functions | +Variables
+
+
dSFMT.c File Reference
+
+
+ +

double precision SIMD-oriented Fast Mersenne Twister (dSFMT) based on IEEE 754 format. +More...

+
#include <stdio.h>
+#include <string.h>
+#include <stdlib.h>
+#include "dSFMT-params.h"
+#include "dSFMT-common.h"
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +

+Functions

static uint32_t ini_func1 (uint32_t x)
 This function represents a function used in the initialization by init_by_array.
static uint32_t ini_func2 (uint32_t x)
 This function represents a function used in the initialization by init_by_array.
static void gen_rand_array_c1o2 (dsfmt_t *dsfmt, w128_t *array, int size)
 This function fills the user-specified array with double precision floating point pseudorandom numbers of the IEEE 754 format.
static void gen_rand_array_c0o1 (dsfmt_t *dsfmt, w128_t *array, int size)
 This function fills the user-specified array with double precision floating point pseudorandom numbers of the IEEE 754 format.
static void gen_rand_array_o0c1 (dsfmt_t *dsfmt, w128_t *array, int size)
 This function fills the user-specified array with double precision floating point pseudorandom numbers of the IEEE 754 format.
static void gen_rand_array_o0o1 (dsfmt_t *dsfmt, w128_t *array, int size)
 This function fills the user-specified array with double precision floating point pseudorandom numbers of the IEEE 754 format.
static int idxof (int i)
 This function simulate a 32-bit array index overlapped to 64-bit array of LITTLE ENDIAN in BIG ENDIAN machine.
static void initial_mask (dsfmt_t *dsfmt)
 This function initializes the internal state array to fit the IEEE 754 format.
static void period_certification (dsfmt_t *dsfmt)
 This function certificate the period of 2^{SFMT_MEXP}-1.
static void convert_c0o1 (w128_t *w)
 This function converts the double precision floating point numbers which distribute uniformly in the range [1, 2) to those which distribute uniformly in the range [0, 1).
static void convert_o0c1 (w128_t *w)
 This function converts the double precision floating point numbers which distribute uniformly in the range [1, 2) to those which distribute uniformly in the range (0, 1].
static void convert_o0o1 (w128_t *w)
 This function converts the double precision floating point numbers which distribute uniformly in the range [1, 2) to those which distribute uniformly in the range (0, 1).
const char * dsfmt_get_idstring (void)
 This function returns the identification string.
int dsfmt_get_min_array_size (void)
 This function returns the minimum size of array used for fill_array functions.
void dsfmt_gen_rand_all (dsfmt_t *dsfmt)
 This function fills the internal state array with double precision floating point pseudorandom numbers of the IEEE 754 format.
void dsfmt_fill_array_close1_open2 (dsfmt_t *dsfmt, double array[], int size)
 This function generates double precision floating point pseudorandom numbers which distribute in the range [1, 2) to the specified array[] by one call.
void dsfmt_fill_array_open_close (dsfmt_t *dsfmt, double array[], int size)
 This function generates double precision floating point pseudorandom numbers which distribute in the range (0, 1] to the specified array[] by one call.
void dsfmt_fill_array_close_open (dsfmt_t *dsfmt, double array[], int size)
 This function generates double precision floating point pseudorandom numbers which distribute in the range [0, 1) to the specified array[] by one call.
void dsfmt_fill_array_open_open (dsfmt_t *dsfmt, double array[], int size)
 This function generates double precision floating point pseudorandom numbers which distribute in the range (0, 1) to the specified array[] by one call.
void dsfmt_chk_init_gen_rand (dsfmt_t *dsfmt, uint32_t seed, int mexp)
 This function initializes the internal state array with a 32-bit integer seed.
void dsfmt_chk_init_by_array (dsfmt_t *dsfmt, uint32_t init_key[], int key_length, int mexp)
 This function initializes the internal state array, with an array of 32-bit integers used as the seeds.

+Variables

dsfmt_t dsfmt_global_data
 dsfmt internal state vector
static const int dsfmt_mexp = DSFMT_MEXP
 dsfmt mexp for check
+

Detailed Description

+

double precision SIMD-oriented Fast Mersenne Twister (dSFMT) based on IEEE 754 format.

+
Author:
Mutsuo Saito (Hiroshima University)
+
+Makoto Matsumoto (Hiroshima University)
+

Copyright (C) 2007,2008 Mutsuo Saito, Makoto Matsumoto and Hiroshima University. All rights reserved.

+

The new BSD License is applied to this software, see LICENSE.txt

+

Function Documentation

+ +
+
+ + + + + + + + +
static void convert_c0o1 (w128_t * w) [inline, static]
+
+
+ +

This function converts the double precision floating point numbers which distribute uniformly in the range [1, 2) to those which distribute uniformly in the range [0, 1).

+
Parameters:
+ + +
w128bit stracture of double precision floating point numbers (I/O)
+
+
+ +

References W128_T::d.

+ +

Referenced by gen_rand_array_c0o1().

+ +
+
+ +
+
+ + + + + + + + +
static void convert_o0c1 (w128_t * w) [inline, static]
+
+
+ +

This function converts the double precision floating point numbers which distribute uniformly in the range [1, 2) to those which distribute uniformly in the range (0, 1].

+
Parameters:
+ + +
w128bit stracture of double precision floating point numbers (I/O)
+
+
+ +

References W128_T::d.

+ +

Referenced by gen_rand_array_o0c1().

+ +
+
+ +
+
+ + + + + + + + +
static void convert_o0o1 (w128_t * w) [inline, static]
+
+
+ +

This function converts the double precision floating point numbers which distribute uniformly in the range [1, 2) to those which distribute uniformly in the range (0, 1).

+
Parameters:
+ + +
w128bit stracture of double precision floating point numbers (I/O)
+
+
+ +

References W128_T::d, and W128_T::u.

+ +

Referenced by gen_rand_array_o0o1().

+ +
+
+ +
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
void dsfmt_chk_init_by_array (dsfmt_t * dsfmt,
uint32_t init_key[],
int key_length,
int mexp 
)
+
+
+ +

This function initializes the internal state array, with an array of 32-bit integers used as the seeds.

+
Parameters:
+ + + + + +
dsfmtdsfmt state vector.
init_keythe array of 32-bit integers, used as a seed.
key_lengththe length of init_key.
mexpcaller's mersenne expornent
+
+
+ +

References DSFMT_N, DSFMT_N64, DSFMT_T::idx, idxof(), ini_func1(), ini_func2(), initial_mask(), period_certification(), DSFMT_T::status, and W128_T::u32.

+ +

Referenced by dsfmt_init_by_array().

+ +
+
+ +
+
+ + + + + + + + + + + + + + + + + + + + + + + + +
void dsfmt_chk_init_gen_rand (dsfmt_t * dsfmt,
uint32_t seed,
int mexp 
)
+
+
+ +

This function initializes the internal state array with a 32-bit integer seed.

+
Parameters:
+ + + + +
dsfmtdsfmt state vector.
seeda 32-bit integer used as the seed.
mexpcaller's mersenne expornent
+
+
+ +

References DSFMT_N, DSFMT_N64, DSFMT_T::idx, idxof(), initial_mask(), period_certification(), DSFMT_T::status, and W128_T::u32.

+ +

Referenced by dsfmt_init_gen_rand().

+ +
+
+ +
+
+ + + + + + + + + + + + + + + + + + + + + + + + +
void dsfmt_fill_array_close1_open2 (dsfmt_t * dsfmt,
double array[],
int size 
)
+
+
+ +

This function generates double precision floating point pseudorandom numbers which distribute in the range [1, 2) to the specified array[] by one call.

+

The number of pseudorandom numbers is specified by the argument size, which must be at least (SFMT_MEXP / 128) * 2 and a multiple of two. The function get_min_array_size() returns this minimum size. The generation by this function is much faster than the following fill_array_xxx functions.

+

For initialization, init_gen_rand() or init_by_array() must be called before the first call of this function. This function can not be used after calling genrand_xxx functions, without initialization.

+
Parameters:
+ + + + +
dsfmtdsfmt state vector.
arrayan array where pseudorandom numbers are filled by this function. The pointer to the array must be "aligned" (namely, must be a multiple of 16) in the SIMD version, since it refers to the address of a 128-bit integer. In the standard C version, the pointer is arbitrary.
sizethe number of 64-bit pseudorandom integers to be generated. size must be a multiple of 2, and greater than or equal to (SFMT_MEXP / 128) * 2.
+
+
+
Note:
memalign or posix_memalign is available to get aligned memory. Mac OSX doesn't have these functions, but malloc of OSX returns the pointer to the aligned memory block.
+ +

References DSFMT_N64, and gen_rand_array_c1o2().

+ +

Referenced by dsfmt_gv_fill_array_close1_open2().

+ +
+
+ +
+
+ + + + + + + + + + + + + + + + + + + + + + + + +
void dsfmt_fill_array_close_open (dsfmt_t * dsfmt,
double array[],
int size 
)
+
+
+ +

This function generates double precision floating point pseudorandom numbers which distribute in the range [0, 1) to the specified array[] by one call.

+

This function is the same as fill_array_close1_open2() except the distribution range.

+
Parameters:
+ + + + +
arrayan array where pseudorandom numbers are filled by this function.
dsfmtdsfmt state vector.
sizethe number of pseudorandom numbers to be generated. see also
+
+
+
See also:
fill_array_close1_open2()
+ +

References DSFMT_N64, and gen_rand_array_c0o1().

+ +

Referenced by dsfmt_gv_fill_array_close_open().

+ +
+
+ +
+
+ + + + + + + + + + + + + + + + + + + + + + + + +
void dsfmt_fill_array_open_close (dsfmt_t * dsfmt,
double array[],
int size 
)
+
+
+ +

This function generates double precision floating point pseudorandom numbers which distribute in the range (0, 1] to the specified array[] by one call.

+

This function is the same as fill_array_close1_open2() except the distribution range.

+
Parameters:
+ + + + +
dsfmtdsfmt state vector.
arrayan array where pseudorandom numbers are filled by this function.
sizethe number of pseudorandom numbers to be generated. see also
+
+
+
See also:
fill_array_close1_open2()
+ +

References DSFMT_N64, and gen_rand_array_o0c1().

+ +

Referenced by dsfmt_gv_fill_array_open_close().

+ +
+
+ +
+
+ + + + + + + + + + + + + + + + + + + + + + + + +
void dsfmt_fill_array_open_open (dsfmt_t * dsfmt,
double array[],
int size 
)
+
+
+ +

This function generates double precision floating point pseudorandom numbers which distribute in the range (0, 1) to the specified array[] by one call.

+

This function is the same as fill_array_close1_open2() except the distribution range.

+
Parameters:
+ + + + +
dsfmtdsfmt state vector.
arrayan array where pseudorandom numbers are filled by this function.
sizethe number of pseudorandom numbers to be generated. see also
+
+
+
See also:
fill_array_close1_open2()
+ +

References DSFMT_N64, and gen_rand_array_o0o1().

+ +

Referenced by dsfmt_gv_fill_array_open_open().

+ +
+
+ +
+
+ + + + + + + + +
void dsfmt_gen_rand_all (dsfmt_t * dsfmt)
+
+
+ +

This function fills the internal state array with double precision floating point pseudorandom numbers of the IEEE 754 format.

+
Parameters:
+ + +
dsfmtdsfmt state vector.
+
+
+ +

References do_recursion(), DSFMT_N, and DSFMT_T::status.

+ +

Referenced by dsfmt_genrand_close1_open2(), dsfmt_genrand_open_open(), and dsfmt_genrand_uint32().

+ +
+
+ +
+
+ + + + + + + + +
const char* dsfmt_get_idstring (void )
+
+
+ +

This function returns the identification string.

+

The string shows the Mersenne exponent, and all parameters of this generator.

+
Returns:
id string.
+ +

Referenced by get_idstring().

+ +
+
+ +
+
+ + + + + + + + +
int dsfmt_get_min_array_size (void )
+
+
+ +

This function returns the minimum size of array used for fill_array functions.

+
Returns:
minimum size of array used for fill_array functions.
+ +

References DSFMT_N64.

+ +

Referenced by get_min_array_size().

+ +
+
+ +
+
+ + + + + + + + + + + + + + + + + + + + + + + + +
static void gen_rand_array_c0o1 (dsfmt_t * dsfmt,
w128_t * array,
int size 
) [inline, static]
+
+
+ +

This function fills the user-specified array with double precision floating point pseudorandom numbers of the IEEE 754 format.

+
Parameters:
+ + + + +
dsfmtdsfmt state vector.
arrayan 128-bit array to be filled by pseudorandom numbers.
sizenumber of 128-bit pseudorandom numbers to be generated.
+
+
+ +

References convert_c0o1(), do_recursion(), DSFMT_N, and DSFMT_T::status.

+ +

Referenced by dsfmt_fill_array_close_open().

+ +
+
+ +
+
+ + + + + + + + + + + + + + + + + + + + + + + + +
static void gen_rand_array_c1o2 (dsfmt_t * dsfmt,
w128_t * array,
int size 
) [inline, static]
+
+
+ +

This function fills the user-specified array with double precision floating point pseudorandom numbers of the IEEE 754 format.

+
Parameters:
+ + + + +
dsfmtdsfmt state vector.
arrayan 128-bit array to be filled by pseudorandom numbers.
sizenumber of 128-bit pseudorandom numbers to be generated.
+
+
+ +

References do_recursion(), DSFMT_N, and DSFMT_T::status.

+ +

Referenced by dsfmt_fill_array_close1_open2().

+ +
+
+ +
+
+ + + + + + + + + + + + + + + + + + + + + + + + +
static void gen_rand_array_o0c1 (dsfmt_t * dsfmt,
w128_t * array,
int size 
) [inline, static]
+
+
+ +

This function fills the user-specified array with double precision floating point pseudorandom numbers of the IEEE 754 format.

+
Parameters:
+ + + + +
dsfmtdsfmt state vector.
arrayan 128-bit array to be filled by pseudorandom numbers.
sizenumber of 128-bit pseudorandom numbers to be generated.
+
+
+ +

References convert_o0c1(), do_recursion(), DSFMT_N, and DSFMT_T::status.

+ +

Referenced by dsfmt_fill_array_open_close().

+ +
+
+ +
+
+ + + + + + + + + + + + + + + + + + + + + + + + +
static void gen_rand_array_o0o1 (dsfmt_t * dsfmt,
w128_t * array,
int size 
) [inline, static]
+
+
+ +

This function fills the user-specified array with double precision floating point pseudorandom numbers of the IEEE 754 format.

+
Parameters:
+ + + + +
dsfmtdsfmt state vector.
arrayan 128-bit array to be filled by pseudorandom numbers.
sizenumber of 128-bit pseudorandom numbers to be generated.
+
+
+ +

References convert_o0o1(), do_recursion(), DSFMT_N, and DSFMT_T::status.

+ +

Referenced by dsfmt_fill_array_open_open().

+ +
+
+ +
+
+ + + + + + + + +
static int idxof (int i) [inline, static]
+
+
+ +

This function simulate a 32-bit array index overlapped to 64-bit array of LITTLE ENDIAN in BIG ENDIAN machine.

+ +

Referenced by dsfmt_chk_init_by_array(), and dsfmt_chk_init_gen_rand().

+ +
+
+ +
+
+ + + + + + + + +
static uint32_t ini_func1 (uint32_t x) [inline, static]
+
+
+ +

This function represents a function used in the initialization by init_by_array.

+
Parameters:
+ + +
x32-bit integer
+
+
+
Returns:
32-bit integer
+ +

Referenced by dsfmt_chk_init_by_array().

+ +
+
+ +
+
+ + + + + + + + +
static uint32_t ini_func2 (uint32_t x) [inline, static]
+
+
+ +

This function represents a function used in the initialization by init_by_array.

+
Parameters:
+ + +
x32-bit integer
+
+
+
Returns:
32-bit integer
+ +

Referenced by dsfmt_chk_init_by_array().

+ +
+
+ +
+
+ + + + + + + + +
static void initial_mask (dsfmt_t * dsfmt) [static]
+
+
+ +

This function initializes the internal state array to fit the IEEE 754 format.

+
Parameters:
+ + +
dsfmtdsfmt state vector.
+
+
+ +

References DSFMT_N, DSFMT_T::status, and W128_T::u.

+ +

Referenced by dsfmt_chk_init_by_array(), and dsfmt_chk_init_gen_rand().

+ +
+
+ +
+
+ + + + + + + + +
static void period_certification (dsfmt_t * dsfmt) [static]
+
+
+ +

This function certificate the period of 2^{SFMT_MEXP}-1.

+
Parameters:
+ + +
dsfmtdsfmt state vector.
+
+
+ +

References DSFMT_N, DSFMT_T::status, and W128_T::u.

+ +

Referenced by dsfmt_chk_init_by_array(), and dsfmt_chk_init_gen_rand().

+ +
+
+

Variable Documentation

+ +
+
+ + + + +
dsfmt_t dsfmt_global_data
+
+
+ +

dsfmt internal state vector

+ +
+
+ +
+
+ + + + +
const int dsfmt_mexp = DSFMT_MEXP [static]
+
+
+ +

dsfmt mexp for check

+ +
+
+
+ + +
+Generated on Fri Jun 29 2012 16:17:32 for dSFMT by   +doxygen + 1.8.0 +
+ + + diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/d_s_f_m_t_8h.html julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/d_s_f_m_t_8h.html --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/d_s_f_m_t_8h.html 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/d_s_f_m_t_8h.html 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,1785 @@ + + + + + +dSFMT: dSFMT.h File Reference + + + + + + + + +
+ + +
+ + + + + + + + + + + +
+
dSFMT +  2.2 +
+ +
+
+ + + + +
+
+
+Data Structures | +Defines | +Typedefs | +Functions | +Variables
+
+
dSFMT.h File Reference
+
+
+ +

double precision SIMD oriented Fast Mersenne Twister(dSFMT) pseudorandom number generator based on IEEE 754 format. +More...

+
#include <stdio.h>
+#include <assert.h>
+#include <inttypes.h>
+
+

Go to the source code of this file.

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +

+Data Structures

union  W128_T
 128-bit data structure More...
struct  DSFMT_T
 the 128-bit internal state array More...

+Defines

#define DSFMT_MEXP   19937
#define DSFMT_N   ((DSFMT_MEXP - 128) / 104 + 1)
 DSFMT generator has an internal state array of 128-bit integers, and N is its size.
#define DSFMT_N32   (DSFMT_N * 4)
 N32 is the size of internal state array when regarded as an array of 32-bit integers.
#define DSFMT_N64   (DSFMT_N * 2)
 N64 is the size of internal state array when regarded as an array of 64-bit integers.
#define inline
#define PRIu64   "llu"
#define PRIx64   "llx"
#define UINT64_C(v)   (v ## ULL)
#define DSFMT_PRE_INLINE   inline static
#define DSFMT_PST_INLINE

+Typedefs

typedef union W128_T w128_t
 128-bit data type
typedef struct DSFMT_T dsfmt_t

+Functions

void dsfmt_gen_rand_all (dsfmt_t *dsfmt)
 This function fills the internal state array with double precision floating point pseudorandom numbers of the IEEE 754 format.
void dsfmt_fill_array_open_close (dsfmt_t *dsfmt, double array[], int size)
 This function generates double precision floating point pseudorandom numbers which distribute in the range (0, 1] to the specified array[] by one call.
void dsfmt_fill_array_close_open (dsfmt_t *dsfmt, double array[], int size)
 This function generates double precision floating point pseudorandom numbers which distribute in the range [0, 1) to the specified array[] by one call.
void dsfmt_fill_array_open_open (dsfmt_t *dsfmt, double array[], int size)
 This function generates double precision floating point pseudorandom numbers which distribute in the range (0, 1) to the specified array[] by one call.
void dsfmt_fill_array_close1_open2 (dsfmt_t *dsfmt, double array[], int size)
 This function generates double precision floating point pseudorandom numbers which distribute in the range [1, 2) to the specified array[] by one call.
void dsfmt_chk_init_gen_rand (dsfmt_t *dsfmt, uint32_t seed, int mexp)
 This function initializes the internal state array with a 32-bit integer seed.
void dsfmt_chk_init_by_array (dsfmt_t *dsfmt, uint32_t init_key[], int key_length, int mexp)
 This function initializes the internal state array, with an array of 32-bit integers used as the seeds.
const char * dsfmt_get_idstring (void)
 This function returns the identification string.
int dsfmt_get_min_array_size (void)
 This function returns the minimum size of array used for fill_array functions.
DSFMT_PRE_INLINE uint32_t dsfmt_genrand_uint32 (dsfmt_t *dsfmt)
 This function generates and returns unsigned 32-bit integer.
DSFMT_PRE_INLINE double dsfmt_genrand_close1_open2 (dsfmt_t *dsfmt)
 This function generates and returns double precision pseudorandom number which distributes uniformly in the range [1, 2).
DSFMT_PRE_INLINE double dsfmt_genrand_close_open (dsfmt_t *dsfmt)
 This function generates and returns double precision pseudorandom number which distributes uniformly in the range [0, 1).
DSFMT_PRE_INLINE double dsfmt_genrand_open_close (dsfmt_t *dsfmt)
 This function generates and returns double precision pseudorandom number which distributes uniformly in the range (0, 1].
DSFMT_PRE_INLINE double dsfmt_genrand_open_open (dsfmt_t *dsfmt)
 This function generates and returns double precision pseudorandom number which distributes uniformly in the range (0, 1).
DSFMT_PRE_INLINE uint32_t dsfmt_gv_genrand_uint32 (void)
 This function generates and returns unsigned 32-bit integer.
DSFMT_PRE_INLINE double dsfmt_gv_genrand_close1_open2 (void)
 This function generates and returns double precision pseudorandom number which distributes uniformly in the range [1, 2).
DSFMT_PRE_INLINE double dsfmt_gv_genrand_close_open (void)
 This function generates and returns double precision pseudorandom number which distributes uniformly in the range [0, 1).
DSFMT_PRE_INLINE double dsfmt_gv_genrand_open_close (void)
 This function generates and returns double precision pseudorandom number which distributes uniformly in the range (0, 1].
DSFMT_PRE_INLINE double dsfmt_gv_genrand_open_open (void)
 This function generates and returns double precision pseudorandom number which distributes uniformly in the range (0, 1).
DSFMT_PRE_INLINE void dsfmt_gv_fill_array_open_close (double array[], int size)
 This function generates double precision floating point pseudorandom numbers which distribute in the range (0, 1] to the specified array[] by one call.
DSFMT_PRE_INLINE void dsfmt_gv_fill_array_close_open (double array[], int size)
 This function generates double precision floating point pseudorandom numbers which distribute in the range [0, 1) to the specified array[] by one call.
DSFMT_PRE_INLINE void dsfmt_gv_fill_array_open_open (double array[], int size)
 This function generates double precision floating point pseudorandom numbers which distribute in the range (0, 1) to the specified array[] by one call.
DSFMT_PRE_INLINE void dsfmt_gv_fill_array_close1_open2 (double array[], int size)
 This function generates double precision floating point pseudorandom numbers which distribute in the range [1, 2) to the specified array[] by one call.
DSFMT_PRE_INLINE void dsfmt_gv_init_gen_rand (uint32_t seed)
 This function initializes the internal state array with a 32-bit integer seed.
DSFMT_PRE_INLINE void dsfmt_gv_init_by_array (uint32_t init_key[], int key_length)
 This function initializes the internal state array, with an array of 32-bit integers used as the seeds.
DSFMT_PRE_INLINE void dsfmt_init_gen_rand (dsfmt_t *dsfmt, uint32_t seed)
 This function initializes the internal state array with a 32-bit integer seed.
DSFMT_PRE_INLINE void dsfmt_init_by_array (dsfmt_t *dsfmt, uint32_t init_key[], int key_length)
 This function initializes the internal state array, with an array of 32-bit integers used as the seeds.
DSFMT_PRE_INLINE const char * get_idstring (void)
 This function is just the same as dsfmt_get_idstring().
DSFMT_PRE_INLINE int get_min_array_size (void)
 This function is just the same as dsfmt_get_min_array_size().
DSFMT_PRE_INLINE void init_gen_rand (uint32_t seed)
 This function is just the same as dsfmt_gv_init_gen_rand().
DSFMT_PRE_INLINE void init_by_array (uint32_t init_key[], int key_length)
 This function is just the same as dsfmt_gv_init_by_array().
DSFMT_PRE_INLINE double genrand_close1_open2 (void)
 This function is just the same as dsfmt_gv_genrand_close1_open2().
DSFMT_PRE_INLINE double genrand_close_open (void)
 This function is just the same as dsfmt_gv_genrand_close_open().
DSFMT_PRE_INLINE double genrand_open_close (void)
 This function is just the same as dsfmt_gv_genrand_open_close().
DSFMT_PRE_INLINE double genrand_open_open (void)
 This function is just the same as dsfmt_gv_genrand_open_open().
DSFMT_PRE_INLINE void fill_array_open_close (double array[], int size)
 This function is juset the same as dsfmt_gv_fill_array_open_close().
DSFMT_PRE_INLINE void fill_array_close_open (double array[], int size)
 This function is juset the same as dsfmt_gv_fill_array_close_open().
DSFMT_PRE_INLINE void fill_array_open_open (double array[], int size)
 This function is juset the same as dsfmt_gv_fill_array_open_open().
DSFMT_PRE_INLINE void fill_array_close1_open2 (double array[], int size)
 This function is juset the same as dsfmt_gv_fill_array_close1_open2().

+Variables

dsfmt_t dsfmt_global_data
 dsfmt internal state vector
const int dsfmt_global_mexp
 dsfmt mexp for check
+

Detailed Description

+

double precision SIMD oriented Fast Mersenne Twister(dSFMT) pseudorandom number generator based on IEEE 754 format.

+
Author:
Mutsuo Saito (Hiroshima University)
+
+Makoto Matsumoto (Hiroshima University)
+

Copyright (C) 2007, 2008 Mutsuo Saito, Makoto Matsumoto and Hiroshima University. All rights reserved. Copyright (C) 2012 Mutsuo Saito, Makoto Matsumoto, Hiroshima University and The University of Tokyo. All rights reserved.

+

The new BSD License is applied to this software. see LICENSE.txt

+
Note:
We assume that your system has inttypes.h. If your system doesn't have inttypes.h, you have to typedef uint32_t and uint64_t, and you have to define PRIu64 and PRIx64 in this file as follows: 
 typedef unsigned int uint32_t
+ typedef unsigned long long uint64_t
+ #define PRIu64 "llu"
+ #define PRIx64 "llx"
+
uint32_t must be exactly 32-bit unsigned integer type (no more, no less), and uint64_t must be exactly 64-bit unsigned integer type. PRIu64 and PRIx64 are used for printf function to print 64-bit unsigned int and 64-bit unsigned int in hexadecimal format.
+

Define Documentation

+ +
+
+ + + + +
#define DSFMT_MEXP   19937
+
+
+ +

Referenced by dsfmt_init_by_array(), and dsfmt_init_gen_rand().

+ +
+
+ +
+
+ + + + +
#define DSFMT_N   ((DSFMT_MEXP - 128) / 104 + 1)
+
+
+ +

DSFMT generator has an internal state array of 128-bit integers, and N is its size.

+ +

Referenced by dsfmt_chk_init_by_array(), dsfmt_chk_init_gen_rand(), dsfmt_gen_rand_all(), gen_rand_array_c0o1(), gen_rand_array_c1o2(), gen_rand_array_o0c1(), gen_rand_array_o0o1(), initial_mask(), and period_certification().

+ +
+
+ +
+
+ + + + +
#define DSFMT_N32   (DSFMT_N * 4)
+
+
+ +

N32 is the size of internal state array when regarded as an array of 32-bit integers.

+ +
+
+ +
+
+ + + + +
#define DSFMT_N64   (DSFMT_N * 2)
+
+
+ +

N64 is the size of internal state array when regarded as an array of 64-bit integers.

+ +

Referenced by dsfmt_chk_init_by_array(), dsfmt_chk_init_gen_rand(), dsfmt_fill_array_close1_open2(), dsfmt_fill_array_close_open(), dsfmt_fill_array_open_close(), dsfmt_fill_array_open_open(), dsfmt_genrand_close1_open2(), dsfmt_genrand_open_open(), dsfmt_genrand_uint32(), and dsfmt_get_min_array_size().

+ +
+
+ +
+
+ + + + +
#define DSFMT_PRE_INLINE   inline static
+
+
+ +
+
+ +
+
+ + + + +
#define DSFMT_PST_INLINE
+
+
+ +
+
+ +
+
+ + + + +
#define inline
+
+
+ +
+
+ +
+
+ + + + +
#define PRIu64   "llu"
+
+
+ +
+
+ +
+
+ + + + +
#define PRIx64   "llx"
+
+
+ +
+
+ +
+
+ + + + + + + + +
#define UINT64_C( v)   (v ## ULL)
+
+
+ +
+
+

Typedef Documentation

+ +
+
+ + + + +
typedef struct DSFMT_T dsfmt_t
+
+
+ +
+
+ +
+
+ + + + +
typedef union W128_T w128_t
+
+
+ +

128-bit data type

+ +
+
+

Function Documentation

+ +
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
void dsfmt_chk_init_by_array (dsfmt_t * dsfmt,
uint32_t init_key[],
int key_length,
int mexp 
)
+
+
+ +

This function initializes the internal state array, with an array of 32-bit integers used as the seeds.

+
Parameters:
+ + + + + +
dsfmtdsfmt state vector.
init_keythe array of 32-bit integers, used as a seed.
key_lengththe length of init_key.
mexpcaller's mersenne expornent
+
+
+ +

References DSFMT_N, DSFMT_N64, DSFMT_T::idx, idxof(), ini_func1(), ini_func2(), initial_mask(), period_certification(), DSFMT_T::status, and W128_T::u32.

+ +

Referenced by dsfmt_init_by_array().

+ +
+
+ +
+
+ + + + + + + + + + + + + + + + + + + + + + + + +
void dsfmt_chk_init_gen_rand (dsfmt_t * dsfmt,
uint32_t seed,
int mexp 
)
+
+
+ +

This function initializes the internal state array with a 32-bit integer seed.

+
Parameters:
+ + + + +
dsfmtdsfmt state vector.
seeda 32-bit integer used as the seed.
mexpcaller's mersenne expornent
+
+
+ +

References DSFMT_N, DSFMT_N64, DSFMT_T::idx, idxof(), initial_mask(), period_certification(), DSFMT_T::status, and W128_T::u32.

+ +

Referenced by dsfmt_init_gen_rand().

+ +
+
+ +
+
+ + + + + + + + + + + + + + + + + + + + + + + + +
void dsfmt_fill_array_close1_open2 (dsfmt_t * dsfmt,
double array[],
int size 
)
+
+
+ +

This function generates double precision floating point pseudorandom numbers which distribute in the range [1, 2) to the specified array[] by one call.

+

The number of pseudorandom numbers is specified by the argument size, which must be at least (SFMT_MEXP / 128) * 2 and a multiple of two. The function get_min_array_size() returns this minimum size. The generation by this function is much faster than the following fill_array_xxx functions.

+

For initialization, init_gen_rand() or init_by_array() must be called before the first call of this function. This function can not be used after calling genrand_xxx functions, without initialization.

+
Parameters:
+ + + + +
dsfmtdsfmt state vector.
arrayan array where pseudorandom numbers are filled by this function. The pointer to the array must be "aligned" (namely, must be a multiple of 16) in the SIMD version, since it refers to the address of a 128-bit integer. In the standard C version, the pointer is arbitrary.
sizethe number of 64-bit pseudorandom integers to be generated. size must be a multiple of 2, and greater than or equal to (SFMT_MEXP / 128) * 2.
+
+
+
Note:
memalign or posix_memalign is available to get aligned memory. Mac OSX doesn't have these functions, but malloc of OSX returns the pointer to the aligned memory block.
+ +

References DSFMT_N64, and gen_rand_array_c1o2().

+ +

Referenced by dsfmt_gv_fill_array_close1_open2().

+ +
+
+ +
+
+ + + + + + + + + + + + + + + + + + + + + + + + +
void dsfmt_fill_array_close_open (dsfmt_t * dsfmt,
double array[],
int size 
)
+
+
+ +

This function generates double precision floating point pseudorandom numbers which distribute in the range [0, 1) to the specified array[] by one call.

+

This function is the same as fill_array_close1_open2() except the distribution range.

+
Parameters:
+ + + + +
arrayan array where pseudorandom numbers are filled by this function.
dsfmtdsfmt state vector.
sizethe number of pseudorandom numbers to be generated. see also
+
+
+
See also:
fill_array_close1_open2()
+ +

References DSFMT_N64, and gen_rand_array_c0o1().

+ +

Referenced by dsfmt_gv_fill_array_close_open().

+ +
+
+ +
+
+ + + + + + + + + + + + + + + + + + + + + + + + +
void dsfmt_fill_array_open_close (dsfmt_t * dsfmt,
double array[],
int size 
)
+
+
+ +

This function generates double precision floating point pseudorandom numbers which distribute in the range (0, 1] to the specified array[] by one call.

+

This function is the same as fill_array_close1_open2() except the distribution range.

+
Parameters:
+ + + + +
dsfmtdsfmt state vector.
arrayan array where pseudorandom numbers are filled by this function.
sizethe number of pseudorandom numbers to be generated. see also
+
+
+
See also:
fill_array_close1_open2()
+ +

References DSFMT_N64, and gen_rand_array_o0c1().

+ +

Referenced by dsfmt_gv_fill_array_open_close().

+ +
+
+ +
+
+ + + + + + + + + + + + + + + + + + + + + + + + +
void dsfmt_fill_array_open_open (dsfmt_t * dsfmt,
double array[],
int size 
)
+
+
+ +

This function generates double precision floating point pseudorandom numbers which distribute in the range (0, 1) to the specified array[] by one call.

+

This function is the same as fill_array_close1_open2() except the distribution range.

+
Parameters:
+ + + + +
dsfmtdsfmt state vector.
arrayan array where pseudorandom numbers are filled by this function.
sizethe number of pseudorandom numbers to be generated. see also
+
+
+
See also:
fill_array_close1_open2()
+ +

References DSFMT_N64, and gen_rand_array_o0o1().

+ +

Referenced by dsfmt_gv_fill_array_open_open().

+ +
+
+ +
+
+ + + + + + + + +
void dsfmt_gen_rand_all (dsfmt_t * dsfmt)
+
+
+ +

This function fills the internal state array with double precision floating point pseudorandom numbers of the IEEE 754 format.

+
Parameters:
+ + +
dsfmtdsfmt state vector.
+
+
+ +

References do_recursion(), DSFMT_N, and DSFMT_T::status.

+ +

Referenced by dsfmt_genrand_close1_open2(), dsfmt_genrand_open_open(), and dsfmt_genrand_uint32().

+ +
+
+ +
+
+ + + + + + + + +
static double dsfmt_genrand_close1_open2 (dsfmt_t * dsfmt) [inline]
+
+
+ +

This function generates and returns double precision pseudorandom number which distributes uniformly in the range [1, 2).

+

This is the primitive and faster than generating numbers in other ranges. dsfmt_init_gen_rand() or dsfmt_init_by_array() must be called before this function.

+
Parameters:
+ + +
dsfmtdsfmt internal state date
+
+
+
Returns:
double precision floating point pseudorandom number
+ +

References W128_T::d, dsfmt_gen_rand_all(), DSFMT_N64, DSFMT_T::idx, and DSFMT_T::status.

+ +

Referenced by dsfmt_genrand_close_open(), dsfmt_genrand_open_close(), and dsfmt_gv_genrand_close1_open2().

+ +
+
+ +
+
+ + + + + + + + +
static double dsfmt_genrand_close_open (dsfmt_t * dsfmt) [inline]
+
+
+ +

This function generates and returns double precision pseudorandom number which distributes uniformly in the range [0, 1).

+

dsfmt_init_gen_rand() or dsfmt_init_by_array() must be called before this function.

+
Parameters:
+ + +
dsfmtdsfmt internal state date
+
+
+
Returns:
double precision floating point pseudorandom number
+ +

References dsfmt_genrand_close1_open2().

+ +
+
+ +
+
+ + + + + + + + +
static double dsfmt_genrand_open_close (dsfmt_t * dsfmt) [inline]
+
+
+ +

This function generates and returns double precision pseudorandom number which distributes uniformly in the range (0, 1].

+

dsfmt_init_gen_rand() or dsfmt_init_by_array() must be called before this function.

+
Parameters:
+ + +
dsfmtdsfmt internal state date
+
+
+
Returns:
double precision floating point pseudorandom number
+ +

References dsfmt_genrand_close1_open2().

+ +
+
+ +
+
+ + + + + + + + +
static double dsfmt_genrand_open_open (dsfmt_t * dsfmt) [inline]
+
+
+ +

This function generates and returns double precision pseudorandom number which distributes uniformly in the range (0, 1).

+

dsfmt_init_gen_rand() or dsfmt_init_by_array() must be called before this function.

+
Parameters:
+ + +
dsfmtdsfmt internal state date
+
+
+
Returns:
double precision floating point pseudorandom number
+ +

References W128_T::d, dsfmt_gen_rand_all(), DSFMT_N64, DSFMT_T::idx, and DSFMT_T::status.

+ +

Referenced by dsfmt_gv_genrand_open_open().

+ +
+
+ +
+
+ + + + + + + + +
static uint32_t dsfmt_genrand_uint32 (dsfmt_t * dsfmt) [inline]
+
+
+ +

This function generates and returns unsigned 32-bit integer.

+

This is slower than SFMT, only for convenience usage. dsfmt_init_gen_rand() or dsfmt_init_by_array() must be called before this function.

+
Parameters:
+ + +
dsfmtdsfmt internal state date
+
+
+
Returns:
double precision floating point pseudorandom number
+ +

References dsfmt_gen_rand_all(), and DSFMT_N64.

+ +

Referenced by dsfmt_gv_genrand_uint32().

+ +
+
+ +
+
+ + + + + + + + +
const char* dsfmt_get_idstring (void )
+
+
+ +

This function returns the identification string.

+

The string shows the Mersenne exponent, and all parameters of this generator.

+
Returns:
id string.
+ +

Referenced by get_idstring().

+ +
+
+ +
+
+ + + + + + + + +
int dsfmt_get_min_array_size (void )
+
+
+ +

This function returns the minimum size of array used for fill_array functions.

+
Returns:
minimum size of array used for fill_array functions.
+ +

References DSFMT_N64.

+ +

Referenced by get_min_array_size().

+ +
+
+ +
+
+ + + + + + + + + + + + + + + + + + +
static void dsfmt_gv_fill_array_close1_open2 (double array[],
int size 
) [inline]
+
+
+ +

This function generates double precision floating point pseudorandom numbers which distribute in the range [1, 2) to the specified array[] by one call.

+

This function is the same as dsfmt_fill_array_close1_open2() except that this function uses global variables.

+
Parameters:
+ + + +
arrayan array where pseudorandom numbers are filled by this function.
sizethe number of pseudorandom numbers to be generated. see also
+
+
+
See also:
dsfmt_fill_array_close1_open2()
+ +

References dsfmt_fill_array_close1_open2().

+ +

Referenced by fill_array_close1_open2().

+ +
+
+ +
+
+ + + + + + + + + + + + + + + + + + +
static void dsfmt_gv_fill_array_close_open (double array[],
int size 
) [inline]
+
+
+ +

This function generates double precision floating point pseudorandom numbers which distribute in the range [0, 1) to the specified array[] by one call.

+

This function is the same as dsfmt_gv_fill_array_close1_open2() except the distribution range. This function uses global variables.

+
Parameters:
+ + + +
arrayan array where pseudorandom numbers are filled by this function.
sizethe number of pseudorandom numbers to be generated. see also
+
+
+
See also:
dsfmt_fill_array_close1_open2()
+
+dsfmt_gv_fill_array_close1_open2()
+ +

References dsfmt_fill_array_close_open().

+ +

Referenced by fill_array_close_open().

+ +
+
+ +
+
+ + + + + + + + + + + + + + + + + + +
static void dsfmt_gv_fill_array_open_close (double array[],
int size 
) [inline]
+
+
+ +

This function generates double precision floating point pseudorandom numbers which distribute in the range (0, 1] to the specified array[] by one call.

+

This function is the same as dsfmt_gv_fill_array_close1_open2() except the distribution range. This function uses global variables.

+
Parameters:
+ + + +
arrayan array where pseudorandom numbers are filled by this function.
sizethe number of pseudorandom numbers to be generated. see also
+
+
+
See also:
dsfmt_fill_array_close1_open2() and
+
+dsfmt_gv_fill_array_close1_open2()
+ +

References dsfmt_fill_array_open_close().

+ +

Referenced by fill_array_open_close().

+ +
+
+ +
+
+ + + + + + + + + + + + + + + + + + +
static void dsfmt_gv_fill_array_open_open (double array[],
int size 
) [inline]
+
+
+ +

This function generates double precision floating point pseudorandom numbers which distribute in the range (0, 1) to the specified array[] by one call.

+

This function is the same as dsfmt_gv_fill_array_close1_open2() except the distribution range. This function uses global variables.

+
Parameters:
+ + + +
arrayan array where pseudorandom numbers are filled by this function.
sizethe number of pseudorandom numbers to be generated. see also
+
+
+
See also:
dsfmt_fill_array_close1_open2()
+
+dsfmt_gv_fill_array_close1_open2()
+ +

References dsfmt_fill_array_open_open().

+ +

Referenced by fill_array_open_open().

+ +
+
+ +
+
+ + + + + + + + +
static double dsfmt_gv_genrand_close1_open2 (void ) [inline]
+
+
+ +

This function generates and returns double precision pseudorandom number which distributes uniformly in the range [1, 2).

+

dsfmt_gv_init_gen_rand() or dsfmt_gv_init_by_array() must be called before this function. This function uses global variables.

+
Returns:
double precision floating point pseudorandom number
+ +

References dsfmt_genrand_close1_open2().

+ +

Referenced by dsfmt_gv_genrand_close_open(), dsfmt_gv_genrand_open_close(), and genrand_close1_open2().

+ +
+
+ +
+
+ + + + + + + + +
static double dsfmt_gv_genrand_close_open (void ) [inline]
+
+
+ +

This function generates and returns double precision pseudorandom number which distributes uniformly in the range [0, 1).

+

dsfmt_gv_init_gen_rand() or dsfmt_gv_init_by_array() must be called before this function. This function uses global variables.

+
Returns:
double precision floating point pseudorandom number
+ +

References dsfmt_gv_genrand_close1_open2().

+ +

Referenced by genrand_close_open().

+ +
+
+ +
+
+ + + + + + + + +
static double dsfmt_gv_genrand_open_close (void ) [inline]
+
+
+ +

This function generates and returns double precision pseudorandom number which distributes uniformly in the range (0, 1].

+

dsfmt_gv_init_gen_rand() or dsfmt_gv_init_by_array() must be called before this function. This function uses global variables.

+
Returns:
double precision floating point pseudorandom number
+ +

References dsfmt_gv_genrand_close1_open2().

+ +

Referenced by genrand_open_close().

+ +
+
+ +
+
+ + + + + + + + +
static double dsfmt_gv_genrand_open_open (void ) [inline]
+
+
+ +

This function generates and returns double precision pseudorandom number which distributes uniformly in the range (0, 1).

+

dsfmt_gv_init_gen_rand() or dsfmt_gv_init_by_array() must be called before this function. This function uses global variables.

+
Returns:
double precision floating point pseudorandom number
+ +

References dsfmt_genrand_open_open().

+ +

Referenced by genrand_open_open().

+ +
+
+ +
+
+ + + + + + + + +
static uint32_t dsfmt_gv_genrand_uint32 (void ) [inline]
+
+
+ +

This function generates and returns unsigned 32-bit integer.

+

This is slower than SFMT, only for convenience usage. dsfmt_gv_init_gen_rand() or dsfmt_gv_init_by_array() must be called before this function. This function uses global variables.

+
Returns:
double precision floating point pseudorandom number
+ +

References dsfmt_genrand_uint32().

+ +
+
+ +
+
+ + + + + + + + + + + + + + + + + + +
static void dsfmt_gv_init_by_array (uint32_t init_key[],
int key_length 
) [inline]
+
+
+ +

This function initializes the internal state array, with an array of 32-bit integers used as the seeds.

+

This function uses global variables.

+
Parameters:
+ + + +
init_keythe array of 32-bit integers, used as a seed.
key_lengththe length of init_key. see also
+
+
+
See also:
dsfmt_init_by_array()
+ +

References dsfmt_init_by_array().

+ +

Referenced by init_by_array().

+ +
+
+ +
+
+ + + + + + + + +
static void dsfmt_gv_init_gen_rand (uint32_t seed) [inline]
+
+
+ +

This function initializes the internal state array with a 32-bit integer seed.

+

This function uses global variables.

+
Parameters:
+ + +
seeda 32-bit integer used as the seed. see also
+
+
+
See also:
dsfmt_init_gen_rand()
+ +

References dsfmt_init_gen_rand().

+ +

Referenced by init_gen_rand().

+ +
+
+ +
+
+ + + + + + + + + + + + + + + + + + + + + + + + +
static void dsfmt_init_by_array (dsfmt_t * dsfmt,
uint32_t init_key[],
int key_length 
) [inline]
+
+
+ +

This function initializes the internal state array, with an array of 32-bit integers used as the seeds.

+
Parameters:
+ + + + +
dsfmtdsfmt state vector
init_keythe array of 32-bit integers, used as a seed.
key_lengththe length of init_key.
+
+
+ +

References dsfmt_chk_init_by_array(), and DSFMT_MEXP.

+ +

Referenced by dsfmt_gv_init_by_array().

+ +
+
+ +
+
+ + + + + + + + + + + + + + + + + + +
static void dsfmt_init_gen_rand (dsfmt_t * dsfmt,
uint32_t seed 
) [inline]
+
+
+ +

This function initializes the internal state array with a 32-bit integer seed.

+
Parameters:
+ + + +
dsfmtdsfmt state vector.
seeda 32-bit integer used as the seed.
+
+
+ +

References dsfmt_chk_init_gen_rand(), and DSFMT_MEXP.

+ +

Referenced by dsfmt_gv_init_gen_rand().

+ +
+
+ +
+
+ + + + + + + + + + + + + + + + + + +
static void fill_array_close1_open2 (double array[],
int size 
) [inline]
+
+
+ +

This function is juset the same as dsfmt_gv_fill_array_close1_open2().

+
Parameters:
+ + + +
arrayan array where pseudorandom numbers are filled by this function.
sizethe number of pseudorandom numbers to be generated. see also
+
+
+
See also:
dsfmt_fill_array_close1_open2(),
+
+dsfmt_gv_fill_array_close1_open2()
+ +

References dsfmt_gv_fill_array_close1_open2().

+ +
+
+ +
+
+ + + + + + + + + + + + + + + + + + +
static void fill_array_close_open (double array[],
int size 
) [inline]
+
+
+ +

This function is juset the same as dsfmt_gv_fill_array_close_open().

+
Parameters:
+ + + +
arrayan array where pseudorandom numbers are filled by this function.
sizethe number of pseudorandom numbers to be generated. see also
+
+
+
See also:
dsfmt_gv_fill_array_close_open(),
+
+dsfmt_fill_array_close1_open2(),
+
+dsfmt_gv_fill_array_close1_open2()
+ +

References dsfmt_gv_fill_array_close_open().

+ +
+
+ +
+
+ + + + + + + + + + + + + + + + + + +
static void fill_array_open_close (double array[],
int size 
) [inline]
+
+
+ +

This function is juset the same as dsfmt_gv_fill_array_open_close().

+
Parameters:
+ + + +
arrayan array where pseudorandom numbers are filled by this function.
sizethe number of pseudorandom numbers to be generated. see also
+
+
+
See also:
dsfmt_gv_fill_array_open_close(),
+
+dsfmt_fill_array_close1_open2(),
+
+dsfmt_gv_fill_array_close1_open2()
+ +

References dsfmt_gv_fill_array_open_close().

+ +
+
+ +
+
+ + + + + + + + + + + + + + + + + + +
static void fill_array_open_open (double array[],
int size 
) [inline]
+
+
+ +

This function is juset the same as dsfmt_gv_fill_array_open_open().

+
Parameters:
+ + + +
arrayan array where pseudorandom numbers are filled by this function.
sizethe number of pseudorandom numbers to be generated. see also
+
+
+
See also:
dsfmt_gv_fill_array_open_open(),
+
+dsfmt_fill_array_close1_open2(),
+
+dsfmt_gv_fill_array_close1_open2()
+ +

References dsfmt_gv_fill_array_open_open().

+ +
+
+ +
+
+ + + + + + + + +
static double genrand_close1_open2 (void ) [inline]
+
+
+ +

This function is just the same as dsfmt_gv_genrand_close1_open2().

+
Returns:
double precision floating point number. see also
+
See also:
dsfmt_genrand_close1_open2()
+
+dsfmt_gv_genrand_close1_open2()
+ +

References dsfmt_gv_genrand_close1_open2().

+ +
+
+ +
+
+ + + + + + + + +
static double genrand_close_open (void ) [inline]
+
+
+ +

This function is just the same as dsfmt_gv_genrand_close_open().

+
Returns:
double precision floating point number. see also
+
See also:
dsfmt_genrand_close_open()
+
+dsfmt_gv_genrand_close_open()
+ +

References dsfmt_gv_genrand_close_open().

+ +
+
+ +
+
+ + + + + + + + +
static double genrand_open_close (void ) [inline]
+
+
+ +

This function is just the same as dsfmt_gv_genrand_open_close().

+
Returns:
double precision floating point number. see also
+
See also:
dsfmt_genrand_open_close()
+
+dsfmt_gv_genrand_open_close()
+ +

References dsfmt_gv_genrand_open_close().

+ +
+
+ +
+
+ + + + + + + + +
static double genrand_open_open (void ) [inline]
+
+
+ +

This function is just the same as dsfmt_gv_genrand_open_open().

+
Returns:
double precision floating point number. see also
+
See also:
dsfmt_genrand_open_open()
+
+dsfmt_gv_genrand_open_open()
+ +

References dsfmt_gv_genrand_open_open().

+ +
+
+ +
+
+ + + + + + + + +
static const char * get_idstring (void ) [inline]
+
+
+ +

This function is just the same as dsfmt_get_idstring().

+
Returns:
id string. see also
+
See also:
dsfmt_get_idstring()
+ +

References dsfmt_get_idstring().

+ +
+
+ +
+
+ + + + + + + + +
static int get_min_array_size (void ) [inline]
+
+
+ +

This function is just the same as dsfmt_get_min_array_size().

+
Returns:
minimum size of array used for fill_array functions. see also
+
See also:
dsfmt_get_min_array_size()
+ +

References dsfmt_get_min_array_size().

+ +
+
+ +
+
+ + + + + + + + + + + + + + + + + + +
static void init_by_array (uint32_t init_key[],
int key_length 
) [inline]
+
+
+ +

This function is just the same as dsfmt_gv_init_by_array().

+
Parameters:
+ + + +
init_keythe array of 32-bit integers, used as a seed.
key_lengththe length of init_key. see also
+
+
+
See also:
dsfmt_gv_init_by_array(),
+
+dsfmt_init_by_array().
+ +

References dsfmt_gv_init_by_array().

+ +
+
+ +
+
+ + + + + + + + +
static void init_gen_rand (uint32_t seed) [inline]
+
+
+ +

This function is just the same as dsfmt_gv_init_gen_rand().

+
Parameters:
+ + +
seeda 32-bit integer used as the seed. see also
+
+
+
See also:
dsfmt_gv_init_gen_rand(),
+
+dsfmt_init_gen_rand().
+ +

References dsfmt_gv_init_gen_rand().

+ +
+
+

Variable Documentation

+ +
+
+ + + + +
dsfmt_t dsfmt_global_data
+
+
+ +

dsfmt internal state vector

+ +
+
+ +
+
+ + + + +
const int dsfmt_global_mexp
+
+
+ +

dsfmt mexp for check

+ +
+
+
+ + +
+Generated on Fri Jun 29 2012 16:17:32 for dSFMT by   +doxygen + 1.8.0 +
+ + + diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/d_s_f_m_t_8h_source.html julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/d_s_f_m_t_8h_source.html --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/d_s_f_m_t_8h_source.html 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/d_s_f_m_t_8h_source.html 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,431 @@ + + + + + +dSFMT: dSFMT.h Source File + + + + + + + + +
+ + +
+ + + + + + + + + + + +
+
dSFMT +  2.2 +
+ +
+
+ + + + +
+
+
+
dSFMT.h
+
+
+Go to the documentation of this file.
00001 #pragma once
+00002 
+00035 #ifndef DSFMT_H
+00036 #define DSFMT_H
+00037 #if defined(__cplusplus)
+00038 extern "C" {
+00039 #endif
+00040 
+00041 #include <stdio.h>
+00042 #include <assert.h>
+00043 
+00044 #if !defined(DSFMT_MEXP)
+00045 #ifdef __GNUC__
+00046   #warning "DSFMT_MEXP is not defined. I assume DSFMT_MEXP is 19937."
+00047 #endif
+00048   #define DSFMT_MEXP 19937
+00049 #endif
+00050 /*-----------------
+00051   BASIC DEFINITIONS
+00052   -----------------*/
+00053 /* Mersenne Exponent. The period of the sequence
+00054  *  is a multiple of 2^DSFMT_MEXP-1.
+00055  * #define DSFMT_MEXP 19937 */
+00058 #define DSFMT_N ((DSFMT_MEXP - 128) / 104 + 1)
+00059 
+00061 #define DSFMT_N32 (DSFMT_N * 4)
+00062 
+00064 #define DSFMT_N64 (DSFMT_N * 2)
+00065 
+00066 #if !defined(DSFMT_BIG_ENDIAN)
+00067 #  if defined(__BYTE_ORDER) && defined(__BIG_ENDIAN)
+00068 #    if __BYTE_ORDER == __BIG_ENDIAN
+00069 #      define DSFMT_BIG_ENDIAN 1
+00070 #    endif
+00071 #  elif defined(_BYTE_ORDER) && defined(_BIG_ENDIAN)
+00072 #    if _BYTE_ORDER == _BIG_ENDIAN
+00073 #      define DSFMT_BIG_ENDIAN 1
+00074 #    endif
+00075 #  elif defined(__BYTE_ORDER__) && defined(__BIG_ENDIAN__)
+00076 #    if __BYTE_ORDER__ == __BIG_ENDIAN__
+00077 #      define DSFMT_BIG_ENDIAN 1
+00078 #    endif
+00079 #  elif defined(BYTE_ORDER) && defined(BIG_ENDIAN)
+00080 #    if BYTE_ORDER == BIG_ENDIAN
+00081 #      define DSFMT_BIG_ENDIAN 1
+00082 #    endif
+00083 #  elif defined(__BIG_ENDIAN) || defined(_BIG_ENDIAN) \
+00084     || defined(__BIG_ENDIAN__) || defined(BIG_ENDIAN)
+00085 #      define DSFMT_BIG_ENDIAN 1
+00086 #  endif
+00087 #endif
+00088 
+00089 #if defined(DSFMT_BIG_ENDIAN) && defined(__amd64)
+00090 #  undef DSFMT_BIG_ENDIAN
+00091 #endif
+00092 
+00093 #if defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 199901L)
+00094 #  include <inttypes.h>
+00095 #elif defined(_MSC_VER) || defined(__BORLANDC__)
+00096 #  if !defined(DSFMT_UINT32_DEFINED) && !defined(SFMT_UINT32_DEFINED)
+00097 typedef unsigned int uint32_t;
+00098 typedef unsigned __int64 uint64_t;
+00099 #    define UINT64_C(v) (v ## ui64)
+00100 #    define DSFMT_UINT32_DEFINED
+00101 #    if !defined(inline)
+00102 #      define inline __inline
+00103 #    endif
+00104 #  endif
+00105 #else
+00106 #  include <inttypes.h>
+00107 #  if !defined(inline)
+00108 #    if defined(__GNUC__)
+00109 #      define inline __inline__
+00110 #    else
+00111 #      define inline
+00112 #    endif
+00113 #  endif
+00114 #endif
+00115 
+00116 #ifndef PRIu64
+00117 #  if defined(_MSC_VER) || defined(__BORLANDC__)
+00118 #    define PRIu64 "I64u"
+00119 #    define PRIx64 "I64x"
+00120 #  else
+00121 #    define PRIu64 "llu"
+00122 #    define PRIx64 "llx"
+00123 #  endif
+00124 #endif
+00125 
+00126 #ifndef UINT64_C
+00127 #  define UINT64_C(v) (v ## ULL)
+00128 #endif
+00129 
+00130 /*------------------------------------------
+00131   128-bit SIMD like data type for standard C
+00132   ------------------------------------------*/
+00133 #if defined(HAVE_ALTIVEC)
+00134 #  if !defined(__APPLE__)
+00135 #    include <altivec.h>
+00136 #  endif
+00137 
+00138 union W128_T {
+00139     vector unsigned int s;
+00140     uint64_t u[2];
+00141     uint32_t u32[4];
+00142     double d[2];
+00143 };
+00144 
+00145 #elif defined(HAVE_SSE2)
+00146 #  include <emmintrin.h>
+00147 
+00149 union W128_T {
+00150     __m128i si;
+00151     __m128d sd;
+00152     uint64_t u[2];
+00153     uint32_t u32[4];
+00154     double d[2];
+00155 };
+00156 #else  /* standard C */
+00157 
+00158 union W128_T {
+00159     uint64_t u[2];
+00160     uint32_t u32[4];
+00161     double d[2];
+00162 };
+00163 #endif
+00164 
+00166 typedef union W128_T w128_t;
+00167 
+00169 struct DSFMT_T {
+00170     w128_t status[DSFMT_N + 1];
+00171     int idx;
+00172 };
+00173 typedef struct DSFMT_T dsfmt_t;
+00174 
+00176 extern dsfmt_t dsfmt_global_data;
+00178 extern const int dsfmt_global_mexp;
+00179 
+00180 void dsfmt_gen_rand_all(dsfmt_t *dsfmt);
+00181 void dsfmt_fill_array_open_close(dsfmt_t *dsfmt, double array[], int size);
+00182 void dsfmt_fill_array_close_open(dsfmt_t *dsfmt, double array[], int size);
+00183 void dsfmt_fill_array_open_open(dsfmt_t *dsfmt, double array[], int size);
+00184 void dsfmt_fill_array_close1_open2(dsfmt_t *dsfmt, double array[], int size);
+00185 void dsfmt_chk_init_gen_rand(dsfmt_t *dsfmt, uint32_t seed, int mexp);
+00186 void dsfmt_chk_init_by_array(dsfmt_t *dsfmt, uint32_t init_key[],
+00187                              int key_length, int mexp);
+00188 const char *dsfmt_get_idstring(void);
+00189 int dsfmt_get_min_array_size(void);
+00190 
+00191 #if defined(__GNUC__)
+00192 #  define DSFMT_PRE_INLINE inline static
+00193 #  define DSFMT_PST_INLINE __attribute__((always_inline))
+00194 #elif defined(_MSC_VER) && _MSC_VER >= 1200
+00195 #  define DSFMT_PRE_INLINE __forceinline static
+00196 #  define DSFMT_PST_INLINE
+00197 #else
+00198 #  define DSFMT_PRE_INLINE inline static
+00199 #  define DSFMT_PST_INLINE
+00200 #endif
+00201 DSFMT_PRE_INLINE uint32_t dsfmt_genrand_uint32(dsfmt_t *dsfmt) DSFMT_PST_INLINE;
+00202 DSFMT_PRE_INLINE double dsfmt_genrand_close1_open2(dsfmt_t *dsfmt)
+00203     DSFMT_PST_INLINE;
+00204 DSFMT_PRE_INLINE double dsfmt_genrand_close_open(dsfmt_t *dsfmt)
+00205     DSFMT_PST_INLINE;
+00206 DSFMT_PRE_INLINE double dsfmt_genrand_open_close(dsfmt_t *dsfmt)
+00207     DSFMT_PST_INLINE;
+00208 DSFMT_PRE_INLINE double dsfmt_genrand_open_open(dsfmt_t *dsfmt)
+00209     DSFMT_PST_INLINE;
+00210 DSFMT_PRE_INLINE uint32_t dsfmt_gv_genrand_uint32(void) DSFMT_PST_INLINE;
+00211 DSFMT_PRE_INLINE double dsfmt_gv_genrand_close1_open2(void) DSFMT_PST_INLINE;
+00212 DSFMT_PRE_INLINE double dsfmt_gv_genrand_close_open(void) DSFMT_PST_INLINE;
+00213 DSFMT_PRE_INLINE double dsfmt_gv_genrand_open_close(void) DSFMT_PST_INLINE;
+00214 DSFMT_PRE_INLINE double dsfmt_gv_genrand_open_open(void) DSFMT_PST_INLINE;
+00215 DSFMT_PRE_INLINE void dsfmt_gv_fill_array_open_close(double array[], int size)
+00216     DSFMT_PST_INLINE;
+00217 DSFMT_PRE_INLINE void dsfmt_gv_fill_array_close_open(double array[], int size)
+00218     DSFMT_PST_INLINE;
+00219 DSFMT_PRE_INLINE void dsfmt_gv_fill_array_open_open(double array[], int size)
+00220     DSFMT_PST_INLINE;
+00221 DSFMT_PRE_INLINE void dsfmt_gv_fill_array_close1_open2(double array[], int size)
+00222     DSFMT_PST_INLINE;
+00223 DSFMT_PRE_INLINE void dsfmt_gv_init_gen_rand(uint32_t seed) DSFMT_PST_INLINE;
+00224 DSFMT_PRE_INLINE void dsfmt_gv_init_by_array(uint32_t init_key[],
+00225                                              int key_length) DSFMT_PST_INLINE;
+00226 DSFMT_PRE_INLINE void dsfmt_init_gen_rand(dsfmt_t *dsfmt, uint32_t seed)
+00227     DSFMT_PST_INLINE;
+00228 DSFMT_PRE_INLINE void dsfmt_init_by_array(dsfmt_t *dsfmt, uint32_t init_key[],
+00229                                           int key_length) DSFMT_PST_INLINE;
+00230 
+00239 inline static uint32_t dsfmt_genrand_uint32(dsfmt_t *dsfmt) {
+00240     uint32_t r;
+00241     uint64_t *psfmt64 = &dsfmt->status[0].u[0];
+00242 
+00243     if (dsfmt->idx >= DSFMT_N64) {
+00244         dsfmt_gen_rand_all(dsfmt);
+00245         dsfmt->idx = 0;
+00246     }
+00247     r = psfmt64[dsfmt->idx++] & 0xffffffffU;
+00248     return r;
+00249 }
+00250 
+00260 inline static double dsfmt_genrand_close1_open2(dsfmt_t *dsfmt) {
+00261     double r;
+00262     double *psfmt64 = &dsfmt->status[0].d[0];
+00263 
+00264     if (dsfmt->idx >= DSFMT_N64) {
+00265         dsfmt_gen_rand_all(dsfmt);
+00266         dsfmt->idx = 0;
+00267     }
+00268     r = psfmt64[dsfmt->idx++];
+00269     return r;
+00270 }
+00271 
+00279 inline static uint32_t dsfmt_gv_genrand_uint32(void) {
+00280     return dsfmt_genrand_uint32(&dsfmt_global_data);
+00281 }
+00282 
+00290 inline static double dsfmt_gv_genrand_close1_open2(void) {
+00291     return dsfmt_genrand_close1_open2(&dsfmt_global_data);
+00292 }
+00293 
+00302 inline static double dsfmt_genrand_close_open(dsfmt_t *dsfmt) {
+00303     return dsfmt_genrand_close1_open2(dsfmt) - 1.0;
+00304 }
+00305 
+00313 inline static double dsfmt_gv_genrand_close_open(void) {
+00314     return dsfmt_gv_genrand_close1_open2() - 1.0;
+00315 }
+00316 
+00325 inline static double dsfmt_genrand_open_close(dsfmt_t *dsfmt) {
+00326     return 2.0 - dsfmt_genrand_close1_open2(dsfmt);
+00327 }
+00328 
+00336 inline static double dsfmt_gv_genrand_open_close(void) {
+00337     return 2.0 - dsfmt_gv_genrand_close1_open2();
+00338 }
+00339 
+00348 inline static double dsfmt_genrand_open_open(dsfmt_t *dsfmt) {
+00349     double *dsfmt64 = &dsfmt->status[0].d[0];
+00350     union {
+00351         double d;
+00352         uint64_t u;
+00353     } r;
+00354 
+00355     if (dsfmt->idx >= DSFMT_N64) {
+00356         dsfmt_gen_rand_all(dsfmt);
+00357         dsfmt->idx = 0;
+00358     }
+00359     r.d = dsfmt64[dsfmt->idx++];
+00360     r.u |= 1;
+00361     return r.d - 1.0;
+00362 }
+00363 
+00371 inline static double dsfmt_gv_genrand_open_open(void) {
+00372     return dsfmt_genrand_open_open(&dsfmt_global_data);
+00373 }
+00374 
+00386 inline static void dsfmt_gv_fill_array_close1_open2(double array[], int size) {
+00387     dsfmt_fill_array_close1_open2(&dsfmt_global_data, array, size);
+00388 }
+00389 
+00402 inline static void dsfmt_gv_fill_array_open_close(double array[], int size) {
+00403     dsfmt_fill_array_open_close(&dsfmt_global_data, array, size);
+00404 }
+00405 
+00418 inline static void dsfmt_gv_fill_array_close_open(double array[], int size) {
+00419     dsfmt_fill_array_close_open(&dsfmt_global_data, array, size);
+00420 }
+00421 
+00434 inline static void dsfmt_gv_fill_array_open_open(double array[], int size) {
+00435     dsfmt_fill_array_open_open(&dsfmt_global_data, array, size);
+00436 }
+00437 
+00444 inline static void dsfmt_init_gen_rand(dsfmt_t *dsfmt, uint32_t seed) {
+00445     dsfmt_chk_init_gen_rand(dsfmt, seed, DSFMT_MEXP);
+00446 }
+00447 
+00454 inline static void dsfmt_gv_init_gen_rand(uint32_t seed) {
+00455     dsfmt_init_gen_rand(&dsfmt_global_data, seed);
+00456 }
+00457 
+00465 inline static void dsfmt_init_by_array(dsfmt_t *dsfmt, uint32_t init_key[],
+00466                                        int key_length) {
+00467     dsfmt_chk_init_by_array(dsfmt, init_key, key_length, DSFMT_MEXP);
+00468 }
+00469 
+00478 inline static void dsfmt_gv_init_by_array(uint32_t init_key[], int key_length) {
+00479     dsfmt_init_by_array(&dsfmt_global_data, init_key, key_length);
+00480 }
+00481 
+00482 #if !defined(DSFMT_DO_NOT_USE_OLD_NAMES)
+00483 DSFMT_PRE_INLINE const char *get_idstring(void) DSFMT_PST_INLINE;
+00484 DSFMT_PRE_INLINE int get_min_array_size(void) DSFMT_PST_INLINE;
+00485 DSFMT_PRE_INLINE void init_gen_rand(uint32_t seed) DSFMT_PST_INLINE;
+00486 DSFMT_PRE_INLINE void init_by_array(uint32_t init_key[], int key_length)
+00487     DSFMT_PST_INLINE;
+00488 DSFMT_PRE_INLINE double genrand_close1_open2(void) DSFMT_PST_INLINE;
+00489 DSFMT_PRE_INLINE double genrand_close_open(void) DSFMT_PST_INLINE;
+00490 DSFMT_PRE_INLINE double genrand_open_close(void) DSFMT_PST_INLINE;
+00491 DSFMT_PRE_INLINE double genrand_open_open(void) DSFMT_PST_INLINE;
+00492 DSFMT_PRE_INLINE void fill_array_open_close(double array[], int size)
+00493     DSFMT_PST_INLINE;
+00494 DSFMT_PRE_INLINE void fill_array_close_open(double array[], int size)
+00495     DSFMT_PST_INLINE;
+00496 DSFMT_PRE_INLINE void fill_array_open_open(double array[], int size)
+00497     DSFMT_PST_INLINE;
+00498 DSFMT_PRE_INLINE void fill_array_close1_open2(double array[], int size)
+00499     DSFMT_PST_INLINE;
+00500 
+00506 inline static const char *get_idstring(void) {
+00507     return dsfmt_get_idstring();
+00508 }
+00509 
+00515 inline static int get_min_array_size(void) {
+00516     return dsfmt_get_min_array_size();
+00517 }
+00518 
+00524 inline static void init_gen_rand(uint32_t seed) {
+00525     dsfmt_gv_init_gen_rand(seed);
+00526 }
+00527 
+00534 inline static void init_by_array(uint32_t init_key[], int key_length) {
+00535     dsfmt_gv_init_by_array(init_key, key_length);
+00536 }
+00537 
+00544 inline static double genrand_close1_open2(void) {
+00545     return dsfmt_gv_genrand_close1_open2();
+00546 }
+00547 
+00554 inline static double genrand_close_open(void) {
+00555     return dsfmt_gv_genrand_close_open();
+00556 }
+00557 
+00564 inline static double genrand_open_close(void) {
+00565     return dsfmt_gv_genrand_open_close();
+00566 }
+00567 
+00574 inline static double genrand_open_open(void) {
+00575     return dsfmt_gv_genrand_open_open();
+00576 }
+00577 
+00587 inline static void fill_array_open_close(double array[], int size) {
+00588     dsfmt_gv_fill_array_open_close(array, size);
+00589 }
+00590 
+00600 inline static void fill_array_close_open(double array[], int size) {
+00601     dsfmt_gv_fill_array_close_open(array, size);
+00602 }
+00603 
+00613 inline static void fill_array_open_open(double array[], int size) {
+00614     dsfmt_gv_fill_array_open_open(array, size);
+00615 }
+00616 
+00625 inline static void fill_array_close1_open2(double array[], int size) {
+00626     dsfmt_gv_fill_array_close1_open2(array, size);
+00627 }
+00628 #endif /* DSFMT_DO_NOT_USE_OLD_NAMES */
+00629 
+00630 #if defined(__cplusplus)
+00631 }
+00632 #endif
+00633 
+00634 #endif /* DSFMT_H */
+
+ + +
+Generated on Fri Jun 29 2012 16:17:32 for dSFMT by   +doxygen + 1.8.0 +
+ + + diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/d_s_f_m_t-common_8h.html julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/d_s_f_m_t-common_8h.html --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/d_s_f_m_t-common_8h.html 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/d_s_f_m_t-common_8h.html 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,145 @@ + + + + + +dSFMT: dSFMT-common.h File Reference + + + + + + + + +
+ + +
+ + + + + + + + + + + +
+
dSFMT +  2.2 +
+ +
+
+ + + + +
+
+
+Functions
+
+
dSFMT-common.h File Reference
+
+
+ +

SIMD oriented Fast Mersenne Twister(SFMT) pseudorandom number generator with jump function. +More...

+
#include "dSFMT.h"
+
+

Go to the source code of this file.

+ + + + +

+Functions

static void do_recursion (w128_t *r, w128_t *a, w128_t *b, w128_t *lung)
 This function represents the recursion formula.
+

Detailed Description

+

SIMD oriented Fast Mersenne Twister(SFMT) pseudorandom number generator with jump function.

+

This file includes common functions used in random number generation and jump.

+
Author:
Mutsuo Saito (Hiroshima University)
+
+Makoto Matsumoto (The University of Tokyo)
+

Copyright (C) 2006, 2007 Mutsuo Saito, Makoto Matsumoto and Hiroshima University. Copyright (C) 2012 Mutsuo Saito, Makoto Matsumoto, Hiroshima University and The University of Tokyo. All rights reserved.

+

The 3-clause BSD License is applied to this software, see LICENSE.txt

+

Function Documentation

+ +
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
static void do_recursion (w128_t * r,
w128_t * a,
w128_t * b,
w128_t * lung 
) [inline, static]
+
+
+ +

This function represents the recursion formula.

+
Parameters:
+ + + + + +
routput 128-bit
aa 128-bit part of the internal state array
ba 128-bit part of the internal state array
lunga 128-bit part of the internal state array (I/O)
+
+
+ +

References W128_T::u.

+ +

Referenced by dsfmt_gen_rand_all(), gen_rand_array_c0o1(), gen_rand_array_c1o2(), gen_rand_array_o0c1(), and gen_rand_array_o0o1().

+ +
+
+
+ + +
+Generated on Fri Jun 29 2012 16:17:32 for dSFMT by   +doxygen + 1.8.0 +
+ + + diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/d_s_f_m_t-common_8h_source.html julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/d_s_f_m_t-common_8h_source.html --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/d_s_f_m_t-common_8h_source.html 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/d_s_f_m_t-common_8h_source.html 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,152 @@ + + + + + +dSFMT: dSFMT-common.h Source File + + + + + + + + +
+ + +
+ + + + + + + + + + + +
+
dSFMT +  2.2 +
+ +
+
+ + + + +
+
+
+
dSFMT-common.h
+
+
+Go to the documentation of this file.
00001 #pragma once
+00002 
+00021 #ifndef DSFMT_COMMON_H
+00022 #define DSFMT_COMMON_H
+00023 
+00024 #include "dSFMT.h"
+00025 
+00026 #if defined(HAVE_SSE2)
+00027 #  include <emmintrin.h>
+00028 union X128I_T {
+00029     uint64_t u[2];
+00030     __m128i  i128;
+00031 };
+00032 union X128D_T {
+00033     double d[2];
+00034     __m128d d128;
+00035 };
+00037 static const union X128I_T sse2_param_mask = {{DSFMT_MSK1, DSFMT_MSK2}};
+00038 #endif
+00039 
+00040 #if defined(HAVE_ALTIVEC)
+00041 inline static void do_recursion(w128_t *r, w128_t *a, w128_t * b,
+00042                                 w128_t *lung) {
+00043     const vector unsigned char sl1 = ALTI_SL1;
+00044     const vector unsigned char sl1_perm = ALTI_SL1_PERM;
+00045     const vector unsigned int sl1_msk = ALTI_SL1_MSK;
+00046     const vector unsigned char sr1 = ALTI_SR;
+00047     const vector unsigned char sr1_perm = ALTI_SR_PERM;
+00048     const vector unsigned int sr1_msk = ALTI_SR_MSK;
+00049     const vector unsigned char perm = ALTI_PERM;
+00050     const vector unsigned int msk1 = ALTI_MSK;
+00051     vector unsigned int w, x, y, z;
+00052 
+00053     z = a->s;
+00054     w = lung->s;
+00055     x = vec_perm(w, (vector unsigned int)perm, perm);
+00056     y = vec_perm(z, sl1_perm, sl1_perm);
+00057     y = vec_sll(y, sl1);
+00058     y = vec_and(y, sl1_msk);
+00059     w = vec_xor(x, b->s);
+00060     w = vec_xor(w, y);
+00061     x = vec_perm(w, (vector unsigned int)sr1_perm, sr1_perm);
+00062     x = vec_srl(x, sr1);
+00063     x = vec_and(x, sr1_msk);
+00064     y = vec_and(w, msk1);
+00065     z = vec_xor(z, y);
+00066     r->s = vec_xor(z, x);
+00067     lung->s = w;
+00068 }
+00069 #elif defined(HAVE_SSE2)
+00070 
+00077 inline static void do_recursion(w128_t *r, w128_t *a, w128_t *b, w128_t *u) {
+00078     __m128i v, w, x, y, z;
+00079 
+00080     x = a->si;
+00081     z = _mm_slli_epi64(x, DSFMT_SL1);
+00082     y = _mm_shuffle_epi32(u->si, SSE2_SHUFF);
+00083     z = _mm_xor_si128(z, b->si);
+00084     y = _mm_xor_si128(y, z);
+00085 
+00086     v = _mm_srli_epi64(y, DSFMT_SR);
+00087     w = _mm_and_si128(y, sse2_param_mask.i128);
+00088     v = _mm_xor_si128(v, x);
+00089     v = _mm_xor_si128(v, w);
+00090     r->si = v;
+00091     u->si = y;
+00092 }
+00093 #else
+00094 
+00101 inline static void do_recursion(w128_t *r, w128_t *a, w128_t * b,
+00102                                 w128_t *lung) {
+00103     uint64_t t0, t1, L0, L1;
+00104 
+00105     t0 = a->u[0];
+00106     t1 = a->u[1];
+00107     L0 = lung->u[0];
+00108     L1 = lung->u[1];
+00109     lung->u[0] = (t0 << DSFMT_SL1) ^ (L1 >> 32) ^ (L1 << 32) ^ b->u[0];
+00110     lung->u[1] = (t1 << DSFMT_SL1) ^ (L0 >> 32) ^ (L0 << 32) ^ b->u[1];
+00111     r->u[0] = (lung->u[0] >> DSFMT_SR) ^ (lung->u[0] & DSFMT_MSK1) ^ t0;
+00112     r->u[1] = (lung->u[1] >> DSFMT_SR) ^ (lung->u[1] & DSFMT_MSK2) ^ t1;
+00113 }
+00114 #endif
+00115 #endif
+
+ + +
+Generated on Fri Jun 29 2012 16:17:32 for dSFMT by   +doxygen + 1.8.0 +
+ + + diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/files.html julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/files.html --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/files.html 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/files.html 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,73 @@ + + + + + +dSFMT: File List + + + + + + + + +
+ + +
+ + + + + + + + + + + +
+
dSFMT +  2.2 +
+ +
+
+ + + + +
+
+
+
File List
+
+
+
Here is a list of all files with brief descriptions:
+ + + +
dSFMT-common.h [code]SIMD oriented Fast Mersenne Twister(SFMT) pseudorandom number generator with jump function
dSFMT.cDouble precision SIMD-oriented Fast Mersenne Twister (dSFMT) based on IEEE 754 format
dSFMT.h [code]Double precision SIMD oriented Fast Mersenne Twister(dSFMT) pseudorandom number generator based on IEEE 754 format
+
+ + +
+Generated on Fri Jun 29 2012 16:17:32 for dSFMT by   +doxygen + 1.8.0 +
+ + + diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/functions.html julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/functions.html --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/functions.html 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/functions.html 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,87 @@ + + + + + +dSFMT: Data Fields + + + + + + + + +
+ + +
+ + + + + + + + + + + +
+
dSFMT +  2.2 +
+ +
+
+ + + + + +
+
+
Here is a list of all struct and union fields with links to the structures/unions they belong to:
+
+ + +
+Generated on Fri Jun 29 2012 16:17:32 for dSFMT by   +doxygen + 1.8.0 +
+ + + diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/functions_vars.html julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/functions_vars.html --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/functions_vars.html 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/functions_vars.html 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,87 @@ + + + + + +dSFMT: Data Fields - Variables + + + + + + + + +
+ + +
+ + + + + + + + + + + +
+
dSFMT +  2.2 +
+ +
+
+ + + + + +
+
+  +
+ + +
+Generated on Fri Jun 29 2012 16:17:32 for dSFMT by   +doxygen + 1.8.0 +
+ + + diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/globals_defs.html julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/globals_defs.html --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/globals_defs.html 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/globals_defs.html 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,105 @@ + + + + + +dSFMT: Globals + + + + + + + + +
+ + +
+ + + + + + + + + + + +
+
dSFMT +  2.2 +
+ +
+
+ + + + + +
+
+  +
+ + +
+Generated on Fri Jun 29 2012 16:17:32 for dSFMT by   +doxygen + 1.8.0 +
+ + + diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/globals_func.html julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/globals_func.html --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/globals_func.html 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/globals_func.html 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,272 @@ + + + + + +dSFMT: Globals + + + + + + + + +
+ + +
+ + + + + + + + + + + +
+
dSFMT +  2.2 +
+ +
+
+ + + + + + +
+
+  + +

- c -

+ + +

- d -

+ + +

- f -

    +
  • fill_array_close1_open2() +: dSFMT.h +
    • +
  • fill_array_close_open() +: dSFMT.h +
    • +
  • fill_array_open_close() +: dSFMT.h +
    • +
  • fill_array_open_open() +: dSFMT.h +
    • +
+ + +

- g -

    +
  • gen_rand_array_c0o1() +: dSFMT.c +
    • +
  • gen_rand_array_c1o2() +: dSFMT.c +
    • +
  • gen_rand_array_o0c1() +: dSFMT.c +
    • +
  • gen_rand_array_o0o1() +: dSFMT.c +
    • +
  • genrand_close1_open2() +: dSFMT.h +
    • +
  • genrand_close_open() +: dSFMT.h +
    • +
  • genrand_open_close() +: dSFMT.h +
    • +
  • genrand_open_open() +: dSFMT.h +
    • +
  • get_idstring() +: dSFMT.h +
    • +
  • get_min_array_size() +: dSFMT.h +
    • +
+ + +

- i -

+ + +

- p -

    +
  • period_certification() +: dSFMT.c +
    • +
+
+ + +
+Generated on Fri Jun 29 2012 16:17:32 for dSFMT by   +doxygen + 1.8.0 +
+ + + diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/globals.html julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/globals.html --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/globals.html 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/globals.html 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,328 @@ + + + + + +dSFMT: Globals + + + + + + + + +
+ + +
+ + + + + + + + + + + +
+
dSFMT +  2.2 +
+ +
+
+ + + + + + +
+
+
Here is a list of all functions, variables, defines, enums, and typedefs with links to the files they belong to:
+ +

- c -

+ + +

- d -

+ + +

- f -

    +
  • fill_array_close1_open2() +: dSFMT.h +
    • +
  • fill_array_close_open() +: dSFMT.h +
    • +
  • fill_array_open_close() +: dSFMT.h +
    • +
  • fill_array_open_open() +: dSFMT.h +
    • +
+ + +

- g -

    +
  • gen_rand_array_c0o1() +: dSFMT.c +
    • +
  • gen_rand_array_c1o2() +: dSFMT.c +
    • +
  • gen_rand_array_o0c1() +: dSFMT.c +
    • +
  • gen_rand_array_o0o1() +: dSFMT.c +
    • +
  • genrand_close1_open2() +: dSFMT.h +
    • +
  • genrand_close_open() +: dSFMT.h +
    • +
  • genrand_open_close() +: dSFMT.h +
    • +
  • genrand_open_open() +: dSFMT.h +
    • +
  • get_idstring() +: dSFMT.h +
    • +
  • get_min_array_size() +: dSFMT.h +
    • +
+ + +

- i -

+ + +

- p -

+ + +

- u -

+ + +

- w -

+
+ + +
+Generated on Fri Jun 29 2012 16:17:32 for dSFMT by   +doxygen + 1.8.0 +
+ + + diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/globals_type.html julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/globals_type.html --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/globals_type.html 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/globals_type.html 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,81 @@ + + + + + +dSFMT: Globals + + + + + + + + +
+ + +
+ + + + + + + + + + + +
+
dSFMT +  2.2 +
+ +
+
+ + + + + +
+
+  +
+ + +
+Generated on Fri Jun 29 2012 16:17:32 for dSFMT by   +doxygen + 1.8.0 +
+ + + diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/globals_vars.html julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/globals_vars.html --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/globals_vars.html 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/globals_vars.html 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,85 @@ + + + + + +dSFMT: Globals + + + + + + + + +
+ + +
+ + + + + + + + + + + +
+
dSFMT +  2.2 +
+ +
+
+ + + + + +
+
+  +
+ + +
+Generated on Fri Jun 29 2012 16:17:32 for dSFMT by   +doxygen + 1.8.0 +
+ + + diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/howto-compile.html julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/howto-compile.html --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/howto-compile.html 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/howto-compile.html 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,360 @@ + + + + + + How to compile dSFMT + + + +

How to compile dSFMT

+ +

+ This document explains how to compile dSFMT for users who + are using UNIX like systems (for example Linux, Free BSD, + cygwin, osx, etc) on terminal. I can't help those who use IDE + (Integrated Development Environment,) please see your IDE's help + to use SIMD feature of your CPU. +

+ +

1. First Step: Compile test programs using Makefile.

+

1-1. Compile standard C test program.

+

+ Check if dSFMT.c and Makefile are in your current directory. + If not, cd to the directory where they exist. + Then, type +

+
+ 
make std
+
+

+ If it causes an error, try to type +

+
+ 
cc -DDSFMT_MEXP=19937 -o test-std-M19937 dSFMT.c test.c
+
+

+ or try to type +

+
+ 
gcc -DDSFMT_MEXP=19937 -o test-std-M19937 dSFMT.c test.c
+
+

+ If success, then check the test program. Type +

+
+ 
./test-std-M19937 -v
+
+

+ You will see many random numbers displayed on your screen. + If you want to check these random numbers are correct output, + redirect output to a file and diff it with + dSFMT.19937.out.txt, like this:

+
+ 
./test-std-M19937 -v > foo.txt
+diff -w foo.txt dSFMT.19937.out.txt
+
+

+ Silence means they are the same because diff + reports the difference of two files. +

+

+ If you want to know the generation speed of dSFMT, type +

+
+ 
./test-std-M19937 -s
+
+

+ It is very slow. To make it fast, compile it + with -O3 option. If your compiler is gcc, you + should specify -fno-strict-aliasing option + with -O3. type +

+
+ 
gcc -O3 -fno-strict-aliasing -DDSFMT_MEXP=19937 -o test-std-M19937 dSFMT.c test.c
+./test-std-M19937 -s
+
+

+ If you are using gcc 4.0, you will get more performance of dSFMT + by giving additional options + --param max-inline-insns-single=1800, + --param inline-unit-growth=500 and + --param large-function-growth=900. +

+ +

1-2. Compile SSE2 test program.

+

+ If your CPU supports SSE2 and you can use gcc version 3.4 or later, + you can make test-sse2-M19937. To do this, type +

+
+ 
make sse2
+
+

or type

+
+ 
gcc -O3 -msse2 -fno-strict-aliasing -DHAVE_SSE2=1 -DDSFMT_MEXP=19937 -o test-sse2-M19937 dSFMT.c test.c
+
+

If everything works well,

+
+ 
./test-sse2-M19937 -s
+
+

shows much shorter time than test-std-M19937 -s.

+ +

1-3. Compile AltiVec test program.

+

+ If you are using Macintosh computer with PowerPC G4 or G5, and + your gcc version is later 3.3, you can make test-alti-M19937. To + do this, type +

+
+ 
make osx-alti
+
+

or type

+
+ 
gcc -O3 -faltivec -fno-strict-aliasing -DHAVE_ALTIVEC=1 -DDSFMT_MEXP=19937 -o test-alti-M19937 dSFMT.c test.c
+
+

If everything works well,

+
+ 
./test-alti-M19937 -s
+
+

shows much shorter time than test-std-M19937 -s.

+ +

1-4. Compile and check output automatically.

+

+ To make test program and check output + automatically for all supported SFMT_MEXPs of dSFMT, type +

+
+ 
make std-check
+
+

+ To check test program optimized for SSE2, type +

+
+ 
make sse2-check
+
+

+ To check test program optimized for OSX PowerPC AltiVec, type +

+
+ 
make osx-alti-check
+
+

+ These commands may take some time. +

+ +

2. Second Step: Use dSFMT pseudorandom number generator with + your C program.

+

2-1. Use sequential call and static link.

+

+ Here is a very simple program sample1.c which + calculates PI using Monte-Carlo method. +

+
+ 
+#include <stdio.h>
+#include <stdlib.h>
+#include "dSFMT.h"
+
+int main(int argc, char* argv[]) {
+    int i, cnt, seed;
+    double x, y, pi;
+    const int NUM = 10000;
+    dsfmt_t dsfmt;
+
+    if (argc >= 2) {
+	seed = strtol(argv[1], NULL, 10);
+    } else {
+	seed = 12345;
+    }
+    cnt = 0;
+    dsfmt_init_gen_rand(&dsfmt, seed);
+    for (i = 0; i < NUM; i++) {
+	x = dsfmt_genrand_close_open(&dsfmt);
+	y = dsfmt_genrand_close_open(&dsfmt);
+	if (x * x + y * y < 1.0) {
+	    cnt++;
+	}
+    }
+    pi = (double)cnt / NUM * 4;
+    printf("%f\n", pi);
+    return 0;
+}
+
+
+

To compile sample1.c with dSFMT.c with the period of + 2607, type

+
+ 
gcc -DDSFMT_MEXP=521 -o sample1 dSFMT.c sample1.c
+
+

If your CPU supports SSE2 and you want to use optimized dSFMT for + SSE2, type

+
+ 
gcc -msse2 -DDSFMT_MEXP=521 -DHAVE_SSE2 -o sample1 dSFMT.c sample1.c
+
+

If your Computer is Apple PowerPC G4 or G5 and you want to use + optimized dSFMT for AltiVec, type

+
+ 
gcc -faltivec -DDSFMT_MEXP=521 -DHAVE_ALTIVEC -o sample1 dSFMT.c sample1.c
+
+ +

2-2. Use block call and static link.

+

+ Here is sample2.c which modifies sample1.c. + The block call dsfmt_fill_array_close_open is + much faster than sequential call, but it needs an aligned + memory. The standard function to get an aligned memory + is posix_memalign, but it isn't usable in every + OS. +

+
+ 
+#include <stdio.h>
+#define _XOPEN_SOURCE 600
+#include <stdlib.h>
+#include "dSFMT.h"
+
+int main(int argc, char* argv[]) {
+    int i, j, cnt, seed;
+    double x, y, pi;
+    const int NUM = 10000;
+    const int R_SIZE = 2 * NUM;
+    int size;
+    double *array;
+    dsfmt_t dsfmt;
+
+    if (argc >= 2) {
+	seed = strtol(argv[1], NULL, 10);
+    } else {
+	seed = 12345;
+    }
+    size = dsfmt_get_min_array_size();
+    if (size < R_SIZE) {
+	size = R_SIZE;
+    }
+#if defined(__APPLE__) || \
+    (defined(__FreeBSD__) && __FreeBSD__ >= 3 && __FreeBSD__ <= 6)
+    printf("malloc used\n");
+    array = malloc(sizeof(double) * size);
+    if (array == NULL) {
+	printf("can't allocate memory.\n");
+	return 1;
+    }
+#elif defined(_POSIX_C_SOURCE)
+    printf("posix_memalign used\n");
+    if (posix_memalign((void **)&array, 16, sizeof(double) * size) != 0) {
+	printf("can't allocate memory.\n");
+	return 1;
+    }
+#elif defined(__GNUC__) && (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 3))
+    printf("memalign used\n");
+    array = memalign(16, sizeof(double) * size);
+    if (array == NULL) {
+	printf("can't allocate memory.\n");
+	return 1;
+    }
+#else /* in this case, gcc doesn't suppport SSE2 */
+    array = malloc(sizeof(double) * size);
+    if (array == NULL) {
+	printf("can't allocate memory.\n");
+	return 1;
+    }
+#endif
+    cnt = 0;
+    j = 0;
+    dsfmt_init_gen_rand(&dsfmt, seed);
+    dsfmt_fill_array_close_open(&dsfmt, array, size);
+    for (i = 0; i < NUM; i++) {
+	x = array[j++];
+	y = array[j++];
+	if (x * x + y * y < 1.0) {
+	    cnt++;
+	}
+    }
+    free(array);
+    pi = (double)cnt / NUM * 4;
+    printf("%f\n", pi);
+    return 0;
+}
+
+
+

To compile sample2.c with dSFMT.c with the period of + 22281, type

+
+ 
gcc -DDSFMT_MEXP=2203 -o sample2 dSFMT.c sample2.c
+
+

If your CPU supports SSE2 and you want to use optimized dSFMT for + SSE2, type

+
+ 
gcc -msse2 -DDSFMT_MEXP=2203 -DHAVE_SSE2 -o sample2 dSFMT.c sample2.c
+
+

If your computer is Apple PowerPC G4 or G5 and you want to use + optimized dSFMT for AltiVec, type

+
+ 
gcc -faltivec -DDSFMT_MEXP=2203 -DHAVE_ALTIVEC -o sample2 dSFMT.c sample2.c
+
+

2-3. Initialize dSFMT using dsfmt_init_by_array function.

+

+ Here is sample3.c which modifies sample1.c. + The 32-bit integer seed can only make 232 kinds of + initial state, to avoid this problem, dSFMT + provides dsfmt_init_by_array function. This sample + uses dsfmt_init_by_array function which initialize the internal state + array with an array of 32-bit. The size of an array can be + larger than the internal state array and all elements of the + array are used for initialization, but too large array is + wasteful. +

+
+ 
+#include <stdio.h>
+#include <string.h>
+#include "dSFMT.h"
+
+int main(int argc, char* argv[]) {
+    int i, cnt, seed_cnt;
+    double x, y, pi;
+    const int NUM = 10000;
+    uint32_t seeds[100];
+    dsfmt_t dsfmt;
+
+    if (argc >= 2) {
+	seed_cnt = 0;
+	for (i = 0; (i < 100) && (i < strlen(argv[1])); i++) {
+	    seeds[i] = argv[1][i];
+	    seed_cnt++;
+	}
+    } else {
+	seeds[0] = 12345;
+	seed_cnt = 1;
+    }
+    cnt = 0;
+    dsfmt_init_by_array(&dsfmt, seeds, seed_cnt);
+    for (i = 0; i < NUM; i++) {
+	x = dsfmt_genrand_close_open(&dsfmt);
+	y = dsfmt_genrand_close_open(&dsfmt);
+	if (x * x + y * y < 1.0) {
+	    cnt++;
+	}
+    }
+    pi = (double)cnt / NUM * 4;
+    printf("%f\n", pi);
+    return 0;
+}
+
+
+

To compile sample3.c, type

+
+ 
gcc -DDSFMT_MEXP=1279 -o sample3 dSFMT.c sample3.c
+
+

Now, seed can be a string. Like this:

+
+ 
./sample3 your-full-name
+
+ + diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/index.html julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/index.html --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/index.html 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/index.html 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,127 @@ + + + + + +dSFMT: Main Page + + + + + + + + +
+ + +
+ + + + + + + + + + + +
+
dSFMT +  2.2 +
+ +
+
+ + + +
+
+
+
dSFMT Documentation
+
+
+

This is double precision SIMD oriented Fast Mersenne Twister pseudorandom number generator (dSFMT). This program is based on the IEEE Standard for Binary Floating-Point Arithmetic (ANSI/IEEE Std 754-1985) format.

+

dSFMT ver. 2.xx is completely different from dSFMT ver. 1.xx. The recursion formula is changed. And the output sequences are changed.

+

This version uses structure of C language. Don't use different DSFMT_MEXP for compiling dSFMT.c and your program.

+

This Project provides pseudorandom number generators of various Mersenne Prime Period: from 2521-1 to 2216091-1.

+

To get dSFMT which has the period of 2521-1, you have to specify -DMEXP=521 as a compile option. For example,

+
 gcc -DDSFMT_MEXP=521 -msse2 -DHAVE_SSE2 -c dSFMT.c
+

will make dSFMT which has the period of 2521-1 and is optimized for SSE2.

+

See How to compile to compile your program with SFMT optimized for SIMD.

+
    +
  • void dsfmt_init_gen_rand() initializes the generator with a 32-bit integer seed.
      +
    • void dsfmt_init_by_array() initializes the generator with an array of 32-bit integers as the seeds.
      • +
    • const char * dsfmt_get_idstring() returns the IDSTRING which identify the generator.
      • +
    • int dsfmt_get_min_array_size() returns the minimum size of array used for fill_array functions.
      • +
    • inline double dsfmt_genrand_close1_open2() generates and returns a double precision pseudorandom number which distributes uniformly in the range [1, 2). This is the primitive and faster than generating numbers in other ranges.
      • +
    • inline double dsfmt_genrand_close_open() generates and returns a double precision pseudorandom number which distributes uniformly in the range [0, 1).
      • +
    • inline double dsfmt_genrand_open_close() generates and returns a double precision pseudorandom number which distributes uniformly in the range (0, 1].
      • +
    • inline double dsfmt_genrand_open_open() generates and returns a double precision pseudorandom number which distributes uniformly in the range (0, 1).
      • +
    • void dsfmt_fill_array_close1_open2() fills the user-specified array with double precision pseudorandom numbers which distribute uniformly in the range [1, 2).
      • +
    • void dsfmt_fill_array_close_open() fills the user-specified array with double precision pseudorandom numbers which distribute uniformly in the range [0, 1).
      • +
    • void dsfmt_fill_array_open_close() fills the user-specified array with double precision pseudorandom numbers which distribute uniformly in the range (0, 1].
      • +
    • void dsfmt_fill_array_open_open() fills the user-specified array with double precision pseudorandom numbers which distribute function uniformly in the range (0, 1).
      • +
    • uinit32_t dsfmt_genrand_uint32() generates and returns a 32 bit unsigned integer. This function is useful for generating a small number of integers among a large number of floating point numbers. This function does not have corresponding fill_array function, because the purpose of fill_array function is to generate a large number of pseudorandom numbers.
      • +
    +
    • +
+

Old names init_gen_rand, init_by_array, etc. are also defined unless you define DSFMT_DO_NOT_USE_OLD_NAMES.

+
Author:
Mutsuo Saito (saito@our-domain) Hiroshima University
+
+Makoto Matsumoto (m-mat@our-domain) Hiroshima University
+

Please change our-domain to math.sci.hiroshima-u.ac.jp

+
Date:
2012-06-29
+

Copyright (C) 2007, 2008, 2009 Mutsuo Saito, Makoto Matsumoto and Hiroshima University. Copyright (c) 2011, 2012 Mutsuo Saito, Makoto Matsumoto, Hiroshima University and The University of Tokyo. All rights reserved.

+

The new BSD License is applied to this software.

+
Copyright (c) 2007, 2008, 2009 Mutsuo Saito, Makoto Matsumoto
+and Hiroshima University.
+Copyright (c) 2011, 2002 Mutsuo Saito, Makoto Matsumoto, Hiroshima
+University and The University of Tokyo.
+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 Hiroshima University 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.
+
+ + +
+Generated on Fri Jun 29 2012 16:17:32 for dSFMT by   +doxygen + 1.8.0 +
+ + + diff -Nru julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/jquery.js julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/jquery.js --- julia-0.2.0~quantalfinal1/deps/random/dsfmt-2.2/html/jquery.js 1970-01-01 00:00:00.000000000 +0000 +++ julia-0.2.1~quantal7/deps/random/dsfmt-2.2/html/jquery.js 2014-02-19 10:15:07.000000000 +0000 @@ -0,0 +1,64 @@ +/* + * jQuery JavaScript Library v1.3.2 + * http://jquery.com/ + * + * Copyright (c) 2009 John Resig + * Dual licensed under the MIT and GPL licenses. + * http://docs.jquery.com/License + * + * Date: 2009-02-19 17:34:21 -0500 (Thu, 19 Feb 2009) + * Revision: 6246 + */ +(function(){var l=this,g,y=l.jQuery,p=l.$,o=l.jQuery=l.$=function(E,F){return new o.fn.init(E,F)},D=/^[^<]*(<(.|\s)+>)[^>]*$|^#([\w-]+)$/,f=/^.[^:#\[\.,]*$/;o.fn=o.prototype={init:function(E,H){E=E||document;if(E.nodeType){this[0]=E;this.length=1;this.context=E;return this}if(typeof E==="string"){var G=D.exec(E);if(G&&(G[1]||!H)){if(G[1]){E=o.clean([G[1]],H)}else{var I=document.getElementById(G[3]);if(I&&I.id!=G[3]){return o().find(E)}var F=o(I||[]);F.context=document;F.selector=E;return F}}else{return o(H).find(E)}}else{if(o.isFunction(E)){return o(document).ready(E)}}if(E.selector&&E.context){this.selector=E.selector;this.context=E.context}return this.setArray(o.isArray(E)?E:o.makeArray(E))},selector:"",jquery:"1.3.2",size:function(){return this.length},get:function(E){return E===g?Array.prototype.slice.call(this):this[E]},pushStack:function(F,H,E){var G=o(F);G.prevObject=this;G.context=this.context;if(H==="find"){G.selector=this.selector+(this.selector?" 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