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00001 00002 /******************************************************* 00003 * 00004 * Copyright (c) 2003-2012 by University of Queensland 00005 * Earth Systems Science Computational Center (ESSCC) 00006 * http://www.uq.edu.au/esscc 00007 * 00008 * Primary Business: Queensland, Australia 00009 * Licensed under the Open Software License version 3.0 00010 * http://www.opensource.org/licenses/osl-3.0.php 00011 * 00012 *******************************************************/ 00013 00014 /* Shape Function info 00015 These tables are a much simplified version of content from finley's ShapeFunctions files 00016 00017 This file is not to be included in .h files - only .c files should have any use for it 00018 */ 00019 00020 #ifndef SHAPETABLE_DUDLEY 00021 #define SHAPETABLE_DUDLEY 00022 00023 #include "esysUtils/types.h" 00024 00025 #include "ElementType.h" 00026 00027 /* These are constructed from dsdv in ShapeFunction.c in finley 00028 The first two are just there for functions that want a pointer 00029 */ 00030 static const double DTDV_0D[1][1] = { {0} }; 00031 static const double DTDV_1D[2][2] = { {-1., 1}, {-1., 1.} }; 00032 00033 /* The repetition here is a hack to prevent out of bounds access */ 00034 static const double DTDV_2D[3 * 3][2] = { {-1, 1}, {0, -1.}, {0, 1}, 00035 {-1, 1}, {0, -1.}, {0, 1}, 00036 {-1, 1}, {0, -1.}, {0, 1} 00037 }; 00038 static const double DTDV_3D[4][3] = { {-1, -1, -1}, {1, 0, 0}, {0, 1, 0}, {0, 0, 1} }; 00039 00040 /* Index by the following by Dudley_ElementTypeID 00041 * The number of local dimensions (as opposed to dimension of the embedding space) */ 00042 static const dim_t localDims[8] = { 0, 1, 2, 3, 0, 1, 2, 0 }; 00043 static const dim_t Dims[8] = { 0, 1, 2, 3, 1, 2, 3, 0 }; 00044 00045 /* the following lists are only used for face elements defined by numNodesOnFace>0 */ 00046 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 */ 00047 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 */ 00048 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. */ 00049 /* shiftNodes={-1} or reverseNodes={-1} are ignored. */ 00050 00051 /* [0] is reduced quadrature, [1] is full quadrature */ 00052 /* in order the positions are POINT, LINE, TRI, TET */ 00053 static const double QuadWeight[4][2] = { {0, 0}, {1., 0.5}, {0.5, 1. / 6}, {1. / 6, 1. / 24} }; 00054 00055 /* number of quadrature points per element */ 00056 static const dim_t QuadNums[4][2] = { {0, 0}, {1, 2}, {1, 3}, {1, 4} }; 00057 00058 /*shape functions at quadrature nodes */ 00059 bool_t getQuadShape(dim_t sim, bool_t reduced, const double **shapearr); 00060 00061 const char *getElementName(Dudley_ElementTypeId id); 00062 00063 #endif