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/*******************************************************
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* Copyright (c) 2003-2010 by University of Queensland
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* Earth Systems Science Computational Center (ESSCC)
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* http://www.uq.edu.au/esscc
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* Primary Business: Queensland, Australia
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* Licensed under the Open Software License version 3.0
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* http://www.opensource.org/licenses/osl-3.0.php
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*******************************************************/
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/* Shape Function info
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These tables are a much simplified version of content from finley's ShapeFunctions files
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This file is not to be included in .h files - only .c files should have any use for it
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#ifndef SHAPETABLE_DUDLEY
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#define SHAPETABLE_DUDLEY
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#include "esysUtils/types.h"
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#include "ElementType.h"
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/* These are constructed from dsdv in ShapeFunction.c in finley
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The first two are just there for functions that want a pointer
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static const double DTDV_0D[1][1] = { {0} };
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static const double DTDV_1D[2][2] = { {-1., 1}, {-1., 1.} };
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/* The repetition here is a hack to prevent out of bounds access */
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static const double DTDV_2D[3 * 3][2] = { {-1, 1}, {0, -1.}, {0, 1},
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{-1, 1}, {0, -1.}, {0, 1},
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{-1, 1}, {0, -1.}, {0, 1}
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static const double DTDV_3D[4][3] = { {-1, -1, -1}, {1, 0, 0}, {0, 1, 0}, {0, 0, 1} };
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/* Index by the following by Dudley_ElementTypeID
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* The number of local dimensions (as opposed to dimension of the embedding space) */
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static const dim_t localDims[8] = { 0, 1, 2, 3, 0, 1, 2, 0 };
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static const dim_t Dims[8] = { 0, 1, 2, 3, 1, 2, 3, 0 };
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/* the following lists are only used for face elements defined by numNodesOnFace>0 */
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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 */
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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 */
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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. */
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/* shiftNodes={-1} or reverseNodes={-1} are ignored. */
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/* [0] is reduced quadrature, [1] is full quadrature */
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/* in order the positions are POINT, LINE, TRI, TET */
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static const double QuadWeight[4][2] = { {0, 0}, {1., 0.5}, {0.5, 1. / 6}, {1. / 6, 1. / 24} };
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/* number of quadrature points per element */
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static const dim_t QuadNums[4][2] = { {0, 0}, {1, 2}, {1, 3}, {1, 4} };
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/*shape functions at quadrature nodes */
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bool_t getQuadShape(dim_t sim, bool_t reduced, const double **shapearr);
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const char *getElementName(Dudley_ElementTypeId id);