ESScript  Revision_4488
ShapeTable.h
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1 
2 /*****************************************************************************
3 *
4 * Copyright (c) 2003-2013 by University of Queensland
5 * http://www.uq.edu.au
6 *
7 * Primary Business: Queensland, Australia
8 * Licensed under the Open Software License version 3.0
9 * http://www.opensource.org/licenses/osl-3.0.php
10 *
11 * Development until 2012 by Earth Systems Science Computational Center (ESSCC)
12 * Development since 2012 by School of Earth Sciences
13 *
14 *****************************************************************************/
15 
16 /* Shape Function info
17 These tables are a much simplified version of content from finley's ShapeFunctions files
18 
19 This file is not to be included in .h files - only .c files should have any use for it
20 */
21 
22 #ifndef SHAPETABLE_DUDLEY
23 #define SHAPETABLE_DUDLEY
24 
25 #include "esysUtils/types.h"
26 
27 #include "ElementType.h"
28 
29 /* These are constructed from dsdv in ShapeFunction.c in finley
30  The first two are just there for functions that want a pointer
31 */
32 static const double DTDV_0D[1][1] = { {0} };
33 static const double DTDV_1D[2][2] = { {-1., 1}, {-1., 1.} };
34 
35 /* The repetition here is a hack to prevent out of bounds access */
36 static const double DTDV_2D[3 * 3][2] = { {-1, 1}, {0, -1.}, {0, 1},
37 {-1, 1}, {0, -1.}, {0, 1},
38 {-1, 1}, {0, -1.}, {0, 1}
39 };
40 static const double DTDV_3D[4][3] = { {-1, -1, -1}, {1, 0, 0}, {0, 1, 0}, {0, 0, 1} };
41 
42 /* Index by the following by Dudley_ElementTypeID
43  * The number of local dimensions (as opposed to dimension of the embedding space) */
44 static const dim_t localDims[8] = { 0, 1, 2, 3, 0, 1, 2, 0 };
45 static const dim_t Dims[8] = { 0, 1, 2, 3, 1, 2, 3, 0 };
46 
47 /* the following lists are only used for face elements defined by numNodesOnFace>0 */
48 static const dim_t numNodesOnFaceMap[8] = { 1, 2, 3, 4, 1, 2, 4, -1 }; /* if the element is allowed as a face element, numNodesOnFace defines the number of nodes defining the face */
49 static const dim_t shiftNodesMap[8][4] = { {0}, {1, 0}, {1, 2, 0}, {-1}, {0, 1, 2}, {1, 0, 2}, {1, 2, 0, 3}, {0} }; /* defines a permutation of the nodes which rotates the nodes on the face */
50 static const dim_t reverseNodesMap[8][4] = { {-1}, {-1}, {0, 2, 1}, {-1}, {-1}, {-1}, {0, 2, 1, 3}, {0} }; /* reverses the order of the nodes on a face. the permutation has keep 0 fixed. */
51  /* shiftNodes={-1} or reverseNodes={-1} are ignored. */
52 
53 /* [0] is reduced quadrature, [1] is full quadrature */
54 /* in order the positions are POINT, LINE, TRI, TET */
55 static const double QuadWeight[4][2] = { {0, 0}, {1., 0.5}, {0.5, 1. / 6}, {1. / 6, 1. / 24} };
56 
57 /* number of quadrature points per element */
58 static const dim_t QuadNums[4][2] = { {0, 0}, {1, 2}, {1, 3}, {1, 4} };
59 
60 /*shape functions at quadrature nodes */
61 bool_t getQuadShape(dim_t sim, bool_t reduced, const double **shapearr);
62 
63 const char *getElementName(Dudley_ElementTypeId id);
64 
65 #endif