Intrepid
Intrepid_HGRAD_LINE_C1_FEMDef.hpp
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1#ifndef INTREPID_HGRAD_LINE_C1_FEMDEF_HPP
2#define INTREPID_HGRAD_LINE_C1_FEMDEF_HPP
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6// Intrepid Package
7// Copyright (2007) Sandia Corporation
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45
51namespace Intrepid {
52
53
54template<class Scalar, class ArrayScalar>
56 this -> basisCardinality_ = 2;
57 this -> basisDegree_ = 1;
58 this -> basisCellTopology_ = shards::CellTopology(shards::getCellTopologyData<shards::Line<2> >() );
59 this -> basisType_ = BASIS_FEM_DEFAULT;
60 this -> basisCoordinates_ = COORDINATES_CARTESIAN;
61 this -> basisTagsAreSet_ = false;
62}
63
64
65
66template<class Scalar, class ArrayScalar>
68 const ArrayScalar & inputPoints,
69 const EOperator operatorType) const {
70
71 // Verify arguments
72#ifdef HAVE_INTREPID_DEBUG
73 Intrepid::getValues_HGRAD_Args<Scalar, ArrayScalar>(outputValues,
74 inputPoints,
75 operatorType,
76 this -> getBaseCellTopology(),
77 this -> getCardinality() );
78#endif
79 // Number of evaluation points = dim 0 of inputPoints
80 int dim0 = inputPoints.dimension(0);
81
82 // Temporaries: (x,y) coordinates of the evaluation point
83 Scalar x = 0.0;
84
85 switch (operatorType) {
86
87 case OPERATOR_VALUE:
88 for (int i0 = 0; i0 < dim0; i0++) {
89 x = inputPoints(i0, 0);
90
91 // outputValues is a rank-2 array with dimensions (basisCardinality_, dim0)
92 outputValues(0, i0) = (1.0 - x)/2.0;
93 outputValues(1, i0) = (1.0 + x)/2.0;
94 }
95 break;
96
97 case OPERATOR_GRAD:
98 case OPERATOR_DIV:
99 case OPERATOR_CURL:
100 case OPERATOR_D1:
101 for (int i0 = 0; i0 < dim0; i0++) {
102 x = inputPoints(i0,0);
103
104 // outputValues is a rank-3 array with dimensions (basisCardinality_, dim0, spaceDim)
105 outputValues(0, i0, 0) = -0.5;
106 outputValues(1, i0, 0) = 0.5;
107 }
108 break;
109
110 case OPERATOR_D2:
111 for (int i0 = 0; i0 < dim0; i0++) {
112
113 // outputValues is a rank-3 array with dimensions (basisCardinality_, dim0, D2Cardinality=3)
114 outputValues(0, i0, 0) = 0.0;
115 outputValues(1, i0, 0) = 0.0;
116 }
117 break;
118
119 case OPERATOR_D3:
120 case OPERATOR_D4:
121 case OPERATOR_D5:
122 case OPERATOR_D6:
123 case OPERATOR_D7:
124 case OPERATOR_D8:
125 case OPERATOR_D9:
126 case OPERATOR_D10:
127 {
128 // outputValues is a rank-3 array with dimensions (basisCardinality_, dim0, DkCardinality)
129 int DkCardinality = Intrepid::getDkCardinality(operatorType,
130 this -> basisCellTopology_.getDimension() );
131 for(int dofOrd = 0; dofOrd < this -> basisCardinality_; dofOrd++) {
132 for (int i0 = 0; i0 < dim0; i0++) {
133 for(int dkOrd = 0; dkOrd < DkCardinality; dkOrd++){
134 outputValues(dofOrd, i0, dkOrd) = 0.0;
135 }
136 }
137 }
138 }
139 break;
140
141 default:
142 TEUCHOS_TEST_FOR_EXCEPTION( !( Intrepid::isValidOperator(operatorType) ), std::invalid_argument,
143 ">>> ERROR (Basis_HGRAD_LINE_C1_FEM): Invalid operator type");
144 }
145}
146
147template<class Scalar, class ArrayScalar>
149
150 // Basis-dependent intializations
151 int tagSize = 4; // size of DoF tag, i.e., number of fields in the tag
152 int posScDim = 0; // position in the tag, counting from 0, of the subcell dim
153 int posScOrd = 1; // position in the tag, counting from 0, of the subcell ordinal
154 int posDfOrd = 2; // position in the tag, counting from 0, of DoF ordinal relative to the subcell
155
156 // An array with local DoF tags assigned to basis functions, in the order of their local enumeration
157 int tags[] = { 0, 0, 0, 1,
158 0, 1, 0, 1};
159
160 // Basis-independent function sets tag and enum data in tagToOrdinal_ and ordinalToTag_ arrays:
161 Intrepid::setOrdinalTagData(this -> tagToOrdinal_,
162 this -> ordinalToTag_,
163 tags,
164 this -> basisCardinality_,
165 tagSize,
166 posScDim,
167 posScOrd,
168 posDfOrd);
169}
170
171template<class Scalar, class ArrayScalar>
173 const ArrayScalar & inputPoints,
174 const ArrayScalar & cellVertices,
175 const EOperator operatorType) const {
176 TEUCHOS_TEST_FOR_EXCEPTION( (true), std::logic_error,
177 ">>> ERROR (Basis_HGRAD_LINE_C1_FEM): FEM Basis calling an FVD member function");
178}
179
180}// namespace Intrepid
181#endif
int isValidOperator(const EOperator operatorType)
Verifies validity of an operator enum.
void setOrdinalTagData(std::vector< std::vector< std::vector< int > > > &tagToOrdinal, std::vector< std::vector< int > > &ordinalToTag, const int *tags, const int basisCard, const int tagSize, const int posScDim, const int posScOrd, const int posDfOrd)
Fills ordinalToTag_ and tagToOrdinal_ by basis-specific tag data.
int getDkCardinality(const EOperator operatorType, const int spaceDim)
Returns cardinality of Dk, i.e., the number of all derivatives of order k.
void initializeTags()
Initializes tagToOrdinal_ and ordinalToTag_ lookup arrays.
void getValues(ArrayScalar &outputValues, const ArrayScalar &inputPoints, const EOperator operatorType) const
Evaluation of a FEM basis on a reference Line cell.