Intrepid
Intrepid_HGRAD_QUAD_C1_FEMDef.hpp
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1 #ifndef INTREPID_HGRAD_QUAD_C1_FEMDEF_HPP
2 #define INTREPID_HGRAD_QUAD_C1_FEMDEF_HPP
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45 
51 namespace Intrepid {
52 
53  template<class Scalar, class ArrayScalar>
54  Basis_HGRAD_QUAD_C1_FEM<Scalar, ArrayScalar>::Basis_HGRAD_QUAD_C1_FEM()
55  {
56  this -> basisCardinality_ = 4;
57  this -> basisDegree_ = 1;
58  this -> basisCellTopology_ = shards::CellTopology(shards::getCellTopologyData<shards::Quadrilateral<4> >() );
59  this -> basisType_ = BASIS_FEM_DEFAULT;
60  this -> basisCoordinates_ = COORDINATES_CARTESIAN;
61  this -> basisTagsAreSet_ = false;
62  }
63 
64 
65 template<class Scalar, class ArrayScalar>
66 void Basis_HGRAD_QUAD_C1_FEM<Scalar, ArrayScalar>::initializeTags() {
67 
68  // Basis-dependent intializations
69  int tagSize = 4; // size of DoF tag, i.e., number of fields in the tag
70  int posScDim = 0; // position in the tag, counting from 0, of the subcell dim
71  int posScOrd = 1; // position in the tag, counting from 0, of the subcell ordinal
72  int posDfOrd = 2; // position in the tag, counting from 0, of DoF ordinal relative to the subcell
73 
74  // An array with local DoF tags assigned to basis functions, in the order of their local enumeration
75  int tags[] = { 0, 0, 0, 1,
76  0, 1, 0, 1,
77  0, 2, 0, 1,
78  0, 3, 0, 1};
79 
80  // Basis-independent function sets tag and enum data in tagToOrdinal_ and ordinalToTag_ arrays:
81  Intrepid::setOrdinalTagData(this -> tagToOrdinal_,
82  this -> ordinalToTag_,
83  tags,
84  this -> basisCardinality_,
85  tagSize,
86  posScDim,
87  posScOrd,
88  posDfOrd);
89 }
90 
91 
92 
93 template<class Scalar, class ArrayScalar>
94 void Basis_HGRAD_QUAD_C1_FEM<Scalar, ArrayScalar>::getValues(ArrayScalar & outputValues,
95  const ArrayScalar & inputPoints,
96  const EOperator operatorType) const {
97 
98  // Verify arguments
99 #ifdef HAVE_INTREPID_DEBUG
100  Intrepid::getValues_HGRAD_Args<Scalar, ArrayScalar>(outputValues,
101  inputPoints,
102  operatorType,
103  this -> getBaseCellTopology(),
104  this -> getCardinality() );
105 #endif
106 
107  // Number of evaluation points = dim 0 of inputPoints
108  int dim0 = inputPoints.dimension(0);
109 
110  // Temporaries: (x,y) coordinates of the evaluation point
111  Scalar x = 0.0;
112  Scalar y = 0.0;
113 
114  switch (operatorType) {
115 
116  case OPERATOR_VALUE:
117  for (int i0 = 0; i0 < dim0; i0++) {
118  x = inputPoints(i0, 0);
119  y = inputPoints(i0, 1);
120 
121  // outputValues is a rank-2 array with dimensions (basisCardinality_, dim0)
122  outputValues(0, i0) = (1.0 - x)*(1.0 - y)/4.0;
123  outputValues(1, i0) = (1.0 + x)*(1.0 - y)/4.0;
124  outputValues(2, i0) = (1.0 + x)*(1.0 + y)/4.0;
125  outputValues(3, i0) = (1.0 - x)*(1.0 + y)/4.0;
126  }
127  break;
128 
129  case OPERATOR_GRAD:
130  case OPERATOR_D1:
131  for (int i0 = 0; i0 < dim0; i0++) {
132  x = inputPoints(i0,0);
133  y = inputPoints(i0,1);
134 
135  // outputValues is a rank-3 array with dimensions (basisCardinality_, dim0, spaceDim)
136  outputValues(0, i0, 0) = -(1.0 - y)/4.0;
137  outputValues(0, i0, 1) = -(1.0 - x)/4.0;
138 
139  outputValues(1, i0, 0) = (1.0 - y)/4.0;
140  outputValues(1, i0, 1) = -(1.0 + x)/4.0;
141 
142  outputValues(2, i0, 0) = (1.0 + y)/4.0;
143  outputValues(2, i0, 1) = (1.0 + x)/4.0;
144 
145  outputValues(3, i0, 0) = -(1.0 + y)/4.0;
146  outputValues(3, i0, 1) = (1.0 - x)/4.0;
147  }
148  break;
149 
150  case OPERATOR_CURL:
151  for (int i0 = 0; i0 < dim0; i0++) {
152  x = inputPoints(i0,0);
153  y = inputPoints(i0,1);
154 
155  // outputValues is a rank-3 array with dimensions (basisCardinality_, dim0, spaceDim)
156  outputValues(0, i0, 0) = -(1.0 - x)/4.0;
157  outputValues(0, i0, 1) = (1.0 - y)/4.0;
158 
159  outputValues(1, i0, 0) = -(1.0 + x)/4.0;
160  outputValues(1, i0, 1) = -(1.0 - y)/4.0;
161 
162  outputValues(2, i0, 0) = (1.0 + x)/4.0;
163  outputValues(2, i0, 1) = -(1.0 + y)/4.0;
164 
165  outputValues(3, i0, 0) = (1.0 - x)/4.0;
166  outputValues(3, i0, 1) = (1.0 + y)/4.0;
167  }
168  break;
169 
170  case OPERATOR_DIV:
171  TEUCHOS_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_DIV), std::invalid_argument,
172  ">>> ERROR (Basis_HGRAD_QUAD_C1_FEM): DIV is invalid operator for rank-0 (scalar) functions in 2D");
173  break;
174 
175  case OPERATOR_D2:
176  for (int i0 = 0; i0 < dim0; i0++) {
177 
178  // outputValues is a rank-3 array with dimensions (basisCardinality_, dim0, D2Cardinality=3)
179  outputValues(0, i0, 0) = 0.0;
180  outputValues(0, i0, 1) = 0.25;
181  outputValues(0, i0, 2) = 0.0;
182 
183  outputValues(1, i0, 0) = 0.0;
184  outputValues(1, i0, 1) = -0.25;
185  outputValues(1, i0, 2) = 0.0;
186 
187  outputValues(2, i0, 0) = 0.0;
188  outputValues(2, i0, 1) = 0.25;
189  outputValues(2, i0, 2) = 0.0;
190 
191  outputValues(3, i0, 0) = 0.0;
192  outputValues(3, i0, 1) = -0.25;
193  outputValues(3, i0, 2) = 0.0;
194  }
195  break;
196 
197  case OPERATOR_D3:
198  case OPERATOR_D4:
199  case OPERATOR_D5:
200  case OPERATOR_D6:
201  case OPERATOR_D7:
202  case OPERATOR_D8:
203  case OPERATOR_D9:
204  case OPERATOR_D10:
205  {
206  // outputValues is a rank-3 array with dimensions (basisCardinality_, dim0, DkCardinality)
207  int DkCardinality = Intrepid::getDkCardinality(operatorType,
208  this -> basisCellTopology_.getDimension() );
209  for(int dofOrd = 0; dofOrd < this -> basisCardinality_; dofOrd++) {
210  for (int i0 = 0; i0 < dim0; i0++) {
211  for(int dkOrd = 0; dkOrd < DkCardinality; dkOrd++){
212  outputValues(dofOrd, i0, dkOrd) = 0.0;
213  }
214  }
215  }
216  }
217  break;
218 
219  default:
220  TEUCHOS_TEST_FOR_EXCEPTION( !( Intrepid::isValidOperator(operatorType) ), std::invalid_argument,
221  ">>> ERROR (Basis_HGRAD_QUAD_C1_FEM): Invalid operator type");
222  }
223 }
224 
225 
226 
227 template<class Scalar, class ArrayScalar>
228 void Basis_HGRAD_QUAD_C1_FEM<Scalar, ArrayScalar>::getValues(ArrayScalar& outputValues,
229  const ArrayScalar & inputPoints,
230  const ArrayScalar & cellVertices,
231  const EOperator operatorType) const {
232  TEUCHOS_TEST_FOR_EXCEPTION( (true), std::logic_error,
233  ">>> ERROR (Basis_HGRAD_QUAD_C1_FEM): FEM Basis calling an FVD member function");
234 }
235 
236 
237 
238 template<class Scalar, class ArrayScalar>
239 void Basis_HGRAD_QUAD_C1_FEM<Scalar, ArrayScalar>::getDofCoords(ArrayScalar & DofCoords) const {
240 #ifdef HAVE_INTREPID_DEBUG
241  // Verify rank of output array.
242  TEUCHOS_TEST_FOR_EXCEPTION( !(DofCoords.rank() == 2), std::invalid_argument,
243  ">>> ERROR: (Intrepid::Basis_HGRAD_QUAD_C1_FEM::getDofCoords) rank = 2 required for DofCoords array");
244  // Verify 0th dimension of output array.
245  TEUCHOS_TEST_FOR_EXCEPTION( !( DofCoords.dimension(0) == this -> basisCardinality_ ), std::invalid_argument,
246  ">>> ERROR: (Intrepid::Basis_HGRAD_QUAD_C1_FEM::getDofCoords) mismatch in number of DoF and 0th dimension of DofCoords array");
247  // Verify 1st dimension of output array.
248  TEUCHOS_TEST_FOR_EXCEPTION( !( DofCoords.dimension(1) == (int)(this -> basisCellTopology_.getDimension()) ), std::invalid_argument,
249  ">>> ERROR: (Intrepid::Basis_HGRAD_QUAD_C1_FEM::getDofCoords) incorrect reference cell (1st) dimension in DofCoords array");
250 #endif
251 
252  DofCoords(0,0) = -1.0; DofCoords(0,1) = -1.0;
253  DofCoords(1,0) = 1.0; DofCoords(1,1) = -1.0;
254  DofCoords(2,0) = 1.0; DofCoords(2,1) = 1.0;
255  DofCoords(3,0) = -1.0; DofCoords(3,1) = 1.0;
256 }
257 
258 }// namespace Intrepid
259 #endif
Intrepid::Basis_HGRAD_QUAD_C1_FEM::getValues
void getValues(ArrayScalar &outputValues, const ArrayScalar &inputPoints, const EOperator operatorType) const
FEM basis evaluation on a reference Quadrilateral cell.
Definition: Intrepid_HGRAD_QUAD_C1_FEMDef.hpp:94
Intrepid::Basis_HGRAD_QUAD_C1_FEM::initializeTags
void initializeTags()
Initializes tagToOrdinal_ and ordinalToTag_ lookup arrays.
Definition: Intrepid_HGRAD_QUAD_C1_FEMDef.hpp:66
Intrepid::Basis_HGRAD_QUAD_C1_FEM::Basis_HGRAD_QUAD_C1_FEM
Basis_HGRAD_QUAD_C1_FEM()
Constructor.
Definition: Intrepid_HGRAD_QUAD_C1_FEMDef.hpp:54
Intrepid::Basis_HGRAD_QUAD_C1_FEM::getDofCoords
void getDofCoords(ArrayScalar &DofCoords) const
Returns spatial locations (coordinates) of degrees of freedom on a reference Quadrilateral.
Definition: Intrepid_HGRAD_QUAD_C1_FEMDef.hpp:239
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