Intrepid2
Intrepid2_HCURL_QUAD_I1_FEMDef.hpp
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1// @HEADER
2// *****************************************************************************
3// Intrepid2 Package
4//
5// Copyright 2007 NTESS and the Intrepid2 contributors.
6// SPDX-License-Identifier: BSD-3-Clause
7// *****************************************************************************
8// @HEADER
9
16#ifndef __INTREPID2_HCURL_QUAD_I1_FEM_DEF_HPP__
17#define __INTREPID2_HCURL_QUAD_I1_FEM_DEF_HPP__
18
19
20namespace Intrepid2 {
21
22 // -------------------------------------------------------------------------------------
23 namespace Impl {
24
25 template<EOperator opType>
26 template<typename OutputViewType,
27 typename inputViewType>
28 KOKKOS_INLINE_FUNCTION
29 void
30 Basis_HCURL_QUAD_I1_FEM::Serial<opType>::
31 getValues( OutputViewType output,
32 const inputViewType input ) {
33 switch (opType) {
34 case OPERATOR_VALUE: {
35 const auto x = input(0);
36 const auto y = input(1);
37
38 // outputValues is a rank-3 array with dimensions (basisCardinality_, dim0, spaceDim)
39 output.access(0, 0) = 0.5*(1.0 - y);
40 output.access(0, 1) = 0.0;
41
42 output.access(1, 0) = 0.0;
43 output.access(1, 1) = 0.5*(1.0 + x);
44
45 output.access(2, 0) = -0.5*(1.0 + y);
46 output.access(2, 1) = 0.0;
47
48 output.access(3, 0) = 0.0;
49 output.access(3, 1) = -0.5*(1.0 - x);
50 break;
51 }
52 case OPERATOR_CURL: {
53 // outputValues is a rank-2 array with dimensions (basisCardinality_, dim0)
54 output.access(0) = 0.5;
55 output.access(1) = 0.5;
56 output.access(2) = 0.5;
57 output.access(3) = 0.5;
58 break;
59 }
60 default: {
61 INTREPID2_TEST_FOR_ABORT( opType != OPERATOR_VALUE &&
62 opType != OPERATOR_CURL,
63 ">>> ERROR: (Intrepid2::Basis_HCURL_QUAD_I1_FEM::Serial::getValues) operator is not supported");
64 }
65 } //end switch
66 }
67
68 template<typename DT,
69 typename outputValueValueType, class ...outputValueProperties,
70 typename inputPointValueType, class ...inputPointProperties>
71 void
72 Basis_HCURL_QUAD_I1_FEM::
73 getValues( Kokkos::DynRankView<outputValueValueType,outputValueProperties...> outputValues,
74 const Kokkos::DynRankView<inputPointValueType, inputPointProperties...> inputPoints,
75 const EOperator operatorType ) {
76 typedef Kokkos::DynRankView<outputValueValueType,outputValueProperties...> outputValueViewType;
77 typedef Kokkos::DynRankView<inputPointValueType, inputPointProperties...> inputPointViewType;
78 typedef typename ExecSpace<typename inputPointViewType::execution_space,typename DT::execution_space>::ExecSpaceType ExecSpaceType;
79
80 // Number of evaluation points = dim 0 of inputPoints
81 const auto loopSize = inputPoints.extent(0);
82 Kokkos::RangePolicy<ExecSpaceType,Kokkos::Schedule<Kokkos::Static> > policy(0, loopSize);
83
84 switch (operatorType) {
85 case OPERATOR_VALUE: {
86 typedef Functor<outputValueViewType, inputPointViewType, OPERATOR_VALUE> FunctorType;
87 Kokkos::parallel_for( policy, FunctorType(outputValues, inputPoints) );
88 break;
89 }
90 case OPERATOR_CURL: {
91 typedef Functor<outputValueViewType, inputPointViewType, OPERATOR_CURL> FunctorType;
92 Kokkos::parallel_for( policy, FunctorType(outputValues, inputPoints) );
93 break;
94 }
95 case OPERATOR_DIV: {
96 INTREPID2_TEST_FOR_EXCEPTION( operatorType == OPERATOR_DIV, std::invalid_argument,
97 ">>> ERROR (Basis_HCURL_QUAD_I1_FEM::getValues): DIV is invalid operator for HCURL Basis Functions");
98 break;
99 }
100 case OPERATOR_GRAD: {
101 INTREPID2_TEST_FOR_EXCEPTION( operatorType == OPERATOR_GRAD, std::invalid_argument,
102 ">>> ERROR (Basis_HCURL_QUAD_I1_FEM::getValues): GRAD is invalid operator for HCURL Basis Functions");
103 break;
104 }
105 case OPERATOR_D1:
106 case OPERATOR_D2:
107 case OPERATOR_D3:
108 case OPERATOR_D4:
109 case OPERATOR_D5:
110 case OPERATOR_D6:
111 case OPERATOR_D7:
112 case OPERATOR_D8:
113 case OPERATOR_D9:
114 case OPERATOR_D10: {
115 INTREPID2_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_D1) ||
116 (operatorType == OPERATOR_D2) ||
117 (operatorType == OPERATOR_D3) ||
118 (operatorType == OPERATOR_D4) ||
119 (operatorType == OPERATOR_D5) ||
120 (operatorType == OPERATOR_D6) ||
121 (operatorType == OPERATOR_D7) ||
122 (operatorType == OPERATOR_D8) ||
123 (operatorType == OPERATOR_D9) ||
124 (operatorType == OPERATOR_D10),
125 std::invalid_argument,
126 ">>> ERROR (Basis_HCURL_QUAD_I1_FEM::getValues): Invalid operator type");
127 break;
128 }
129 default: {
130 INTREPID2_TEST_FOR_EXCEPTION( (operatorType != OPERATOR_VALUE) &&
131 (operatorType != OPERATOR_GRAD) &&
132 (operatorType != OPERATOR_CURL) &&
133 (operatorType != OPERATOR_DIV) &&
134 (operatorType != OPERATOR_D1) &&
135 (operatorType != OPERATOR_D2) &&
136 (operatorType != OPERATOR_D3) &&
137 (operatorType != OPERATOR_D4) &&
138 (operatorType != OPERATOR_D5) &&
139 (operatorType != OPERATOR_D6) &&
140 (operatorType != OPERATOR_D7) &&
141 (operatorType != OPERATOR_D8) &&
142 (operatorType != OPERATOR_D9) &&
143 (operatorType != OPERATOR_D10),
144 std::invalid_argument,
145 ">>> ERROR (Basis_HCURL_QUAD_I1_FEM::getValues): Invalid operator type");
146 }
147 }
148 }
149 }
150
151 // -------------------------------------------------------------------------------------
152
153
154 template<typename DT, typename OT, typename PT>
157 const ordinal_type spaceDim = 2;
158 this->basisCardinality_ = 4;
159 this->basisDegree_ = 1;
160 this->basisCellTopologyKey_ = shards::Quadrilateral<4>::key;
161 this->basisType_ = BASIS_FEM_DEFAULT;
162 this->basisCoordinates_ = COORDINATES_CARTESIAN;
163 this->functionSpace_ = FUNCTION_SPACE_HCURL;
164
165 // initialize tags
166 {
167 // Basis-dependent intializations
168 const ordinal_type tagSize = 4; // size of DoF tag
169 const ordinal_type posScDim = 0; // position in the tag, counting from 0, of the subcell dim
170 const ordinal_type posScOrd = 1; // position in the tag, counting from 0, of the subcell ordinal
171 const ordinal_type posDfOrd = 2; // position in the tag, counting from 0, of DoF ordinal relative to the subcell
172
173 // An array with local DoF tags assigned to basis functions, in the order of their local enumeration
174 ordinal_type tags[16] = { 1, 0, 0, 1,
175 1, 1, 0, 1,
176 1, 2, 0, 1,
177 1, 3, 0, 1 };
178
179 // when exec space is device, this wrapping relies on uvm.
180 //Kokkos::View<ordinal_type[16], DT> tagView(tags);
181 OrdinalTypeArray1DHost tagView(&tags[0], 16);
182
183 // Basis-independent function sets tag and enum data in tagToOrdinal_ and ordinalToTag_ arrays:
184 this->setOrdinalTagData(this->tagToOrdinal_,
185 this->ordinalToTag_,
186 tagView,
187 this->basisCardinality_,
188 tagSize,
189 posScDim,
190 posScOrd,
191 posDfOrd);
192 }
193
194 // dofCoords on host and create its mirror view to device
195 Kokkos::DynRankView<typename ScalarViewType::value_type,typename DT::execution_space::array_layout,Kokkos::HostSpace>
196 dofCoords("dofCoordsHost", this->basisCardinality_,spaceDim);
197
198 dofCoords(0,0) = 0.0; dofCoords(0,1) = -1.0;
199 dofCoords(1,0) = 1.0; dofCoords(1,1) = 0.0;
200 dofCoords(2,0) = 0.0; dofCoords(2,1) = 1.0;
201 dofCoords(3,0) = -1.0; dofCoords(3,1) = 0.0;
202
203 this->dofCoords_ = Kokkos::create_mirror_view(typename DT::memory_space(), dofCoords);
204 Kokkos::deep_copy(this->dofCoords_, dofCoords);
205
206
207 // dofCoeffs on host and create its mirror view to device
208 Kokkos::DynRankView<typename ScalarViewType::value_type,typename DT::execution_space::array_layout,Kokkos::HostSpace>
209 dofCoeffs("dofCoeffsHost", this->basisCardinality_,spaceDim);
210
211 // for HCURL_QUAD_I1 dofCoeffs are the tangents on the quadrilateral edges (with tangents magnitude equal to edges' lengths)
212 dofCoeffs(0,0) = 1.0; dofCoeffs(0,1) = 0.0;
213 dofCoeffs(1,0) = 0.0; dofCoeffs(1,1) = 1.0;
214 dofCoeffs(2,0) = -1.0; dofCoeffs(2,1) = 0.0;
215 dofCoeffs(3,0) = 0.0; dofCoeffs(3,1) = -1.0;
216
217 this->dofCoeffs_ = Kokkos::create_mirror_view(typename DT::memory_space(), dofCoeffs);
218 Kokkos::deep_copy(this->dofCoeffs_, dofCoeffs);
219
220 }
221
222 template<typename DT, typename OT, typename PT>
223 void
225 ordinal_type& perTeamSpaceSize,
226 ordinal_type& perThreadSpaceSize,
227 const PointViewType inputPoints,
228 const EOperator operatorType) const {
229 perTeamSpaceSize = 0;
230 perThreadSpaceSize = 0;
231 }
232
233 template<typename DT, typename OT, typename PT>
234 KOKKOS_INLINE_FUNCTION
235 void
236 Basis_HCURL_QUAD_I1_FEM<DT,OT,PT>::getValues(
237 OutputViewType outputValues,
238 const PointViewType inputPoints,
239 const EOperator operatorType,
240 const typename Kokkos::TeamPolicy<typename DT::execution_space>::member_type& team_member,
241 const typename DT::execution_space::scratch_memory_space & scratchStorage,
242 const ordinal_type subcellDim,
243 const ordinal_type subcellOrdinal) const {
244
245 INTREPID2_TEST_FOR_ABORT( !((subcellDim == -1) && (subcellOrdinal == -1)),
246 ">>> ERROR: (Intrepid2::Basis_HCURL_QUAD_I1_FEM::getValues), The capability of selecting subsets of basis functions has not been implemented yet.");
247
248 (void) scratchStorage; //avoid unused variable warning
249
250 const int numPoints = inputPoints.extent(0);
251
252 switch(operatorType) {
253 case OPERATOR_VALUE:
254 Kokkos::parallel_for (Kokkos::TeamThreadRange (team_member, numPoints), [=] (ordinal_type& pt) {
255 auto output = Kokkos::subview( outputValues, Kokkos::ALL(), pt, Kokkos::ALL() );
256 const auto input = Kokkos::subview( inputPoints, pt, Kokkos::ALL() );
257 Impl::Basis_HCURL_QUAD_I1_FEM::Serial<OPERATOR_VALUE>::getValues( output, input);
258 });
259 break;
260 case OPERATOR_CURL:
261 Kokkos::parallel_for (Kokkos::TeamThreadRange (team_member, numPoints), [=] (ordinal_type& pt) {
262 auto output = Kokkos::subview( outputValues, Kokkos::ALL(), pt, Kokkos::ALL() );
263 const auto input = Kokkos::subview( inputPoints, pt, Kokkos::ALL() );
264 Impl::Basis_HCURL_QUAD_I1_FEM::Serial<OPERATOR_CURL>::getValues( output, input);
265 });
266 break;
267 default: {
268 INTREPID2_TEST_FOR_ABORT( true, ">>> ERROR: (Intrepid2::Basis_HCURL_QUAD_I1_FEM::getValues), Operator Type not supported.");
269 }
270 }
271 }
272
273}// namespace Intrepid2
274#endif
Implementation of the default H(curl)-compatible FEM basis of degree 1 on Quadrilateral cell.