Intrepid2
Intrepid2_HDIV_QUAD_In_FEMDef.hpp
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49#ifndef __INTREPID2_HDIV_QUAD_IN_FEM_DEF_HPP__
50#define __INTREPID2_HDIV_QUAD_IN_FEM_DEF_HPP__
51
52namespace Intrepid2 {
53
54 // -------------------------------------------------------------------------------------
55 namespace Impl {
56
57 template<EOperator opType>
58 template<typename OutputViewType,
59 typename inputViewType,
60 typename workViewType,
61 typename vinvViewType>
62 KOKKOS_INLINE_FUNCTION
63 void
64 Basis_HDIV_QUAD_In_FEM::Serial<opType>::
65 getValues( OutputViewType output,
66 const inputViewType input,
67 workViewType work,
68 const vinvViewType vinvLine,
69 const vinvViewType vinvBubble) {
70 const ordinal_type cardLine = vinvLine.extent(0);
71 const ordinal_type cardBubble = vinvBubble.extent(0);
72
73 const ordinal_type npts = input.extent(0);
74
75 typedef Kokkos::pair<ordinal_type,ordinal_type> range_type;
76 const auto input_x = Kokkos::subview(input, Kokkos::ALL(), range_type(0,1));
77 const auto input_y = Kokkos::subview(input, Kokkos::ALL(), range_type(1,2));
78
79 const int dim_s = get_dimension_scalar(work);
80 auto ptr0 = work.data();
81 auto ptr1 = work.data()+cardLine*npts*dim_s;
82 auto ptr2 = work.data()+2*cardLine*npts*dim_s;
83
84
85 typedef typename Kokkos::DynRankView<typename workViewType::value_type, typename workViewType::memory_space> viewType;
86 auto vcprop = Kokkos::common_view_alloc_prop(work);
87
88 switch (opType) {
89 case OPERATOR_VALUE: {
90 viewType workLine(Kokkos::view_wrap(ptr0, vcprop), cardLine, npts);
91 viewType outputLine(Kokkos::view_wrap(ptr1, vcprop), cardLine, npts);
92 viewType outputBubble(Kokkos::view_wrap(ptr2, vcprop), cardBubble, npts);
93
94 // tensor product
95 ordinal_type idx = 0;
96 {
97 Impl::Basis_HGRAD_LINE_Cn_FEM::Serial<OPERATOR_VALUE>::
98 getValues(outputBubble, input_x, workLine, vinvBubble);
99
100 Impl::Basis_HGRAD_LINE_Cn_FEM::Serial<OPERATOR_VALUE>::
101 getValues(outputLine, input_y, workLine, vinvLine);
102
103 // x component (lineBasis(y) bubbleBasis(x))
104 const auto output_x = outputBubble;
105 const auto output_y = outputLine;
106
107 for (ordinal_type j=0;j<cardLine;++j) // y
108 for (ordinal_type i=0;i<cardBubble;++i,++idx) // x
109 for (ordinal_type k=0;k<npts;++k) {
110 output.access(idx,k,0) = 0.0;
111 output.access(idx,k,1) = output_x.access(i,k)*output_y.access(j,k);
112 }
113 }
114 {
115 Impl::Basis_HGRAD_LINE_Cn_FEM::Serial<OPERATOR_VALUE>::
116 getValues(outputBubble, input_y, workLine, vinvBubble);
117
118 Impl::Basis_HGRAD_LINE_Cn_FEM::Serial<OPERATOR_VALUE>::
119 getValues(outputLine, input_x, workLine, vinvLine);
120
121 // y component (bubbleBasis(y) lineBasis(x))
122 const auto output_x = outputLine;
123 const auto output_y = outputBubble;
124 for (ordinal_type j=0;j<cardBubble;++j) // y
125 for (ordinal_type i=0;i<cardLine;++i,++idx) // x
126 for (ordinal_type k=0;k<npts;++k) {
127 output.access(idx,k,0) = output_x.access(i,k)*output_y.access(j,k);
128 output.access(idx,k,1) = 0.0;
129 }
130 }
131 break;
132 }
133 case OPERATOR_DIV: {
134 ordinal_type idx = 0;
135 { // x - component
136 viewType workLine(Kokkos::view_wrap(ptr0, vcprop), cardLine, npts);
137 // x bubble value
138 viewType output_x(Kokkos::view_wrap(ptr2, vcprop), cardBubble, npts);
139 // y line grad
140 viewType output_y(Kokkos::view_wrap(ptr1, vcprop), cardLine, npts,1);
141
142 Impl::Basis_HGRAD_LINE_Cn_FEM::Serial<OPERATOR_VALUE>::
143 getValues(output_x, input_x, workLine, vinvBubble);
144
145 Impl::Basis_HGRAD_LINE_Cn_FEM::Serial<OPERATOR_Dn>::
146 getValues(output_y, input_y, workLine, vinvLine, 1);
147
148 // tensor product (extra dimension of ouput x and y are ignored)
149 for (ordinal_type j=0;j<cardLine;++j) // y
150 for (ordinal_type i=0;i<cardBubble;++i,++idx) // x
151 for (ordinal_type k=0;k<npts;++k)
152 output.access(idx,k) = output_x.access(i,k)*output_y.access(j,k,0);
153 }
154 { // y - component
155 viewType workLine(Kokkos::view_wrap(ptr0, vcprop), cardLine, npts);
156 // x line grad
157 viewType output_x(Kokkos::view_wrap(ptr1, vcprop), cardLine, npts,1);
158 // y bubble value
159 viewType output_y(Kokkos::view_wrap(ptr2, vcprop), cardBubble, npts);
160
161 Impl::Basis_HGRAD_LINE_Cn_FEM::Serial<OPERATOR_VALUE>::
162 getValues(output_y, input_y, workLine, vinvBubble);
163
164 Impl::Basis_HGRAD_LINE_Cn_FEM::Serial<OPERATOR_Dn>::
165 getValues(output_x, input_x, workLine, vinvLine, 1);
166
167 // tensor product (extra dimension of ouput x and y are ignored)
168 for (ordinal_type j=0;j<cardBubble;++j) // y
169 for (ordinal_type i=0;i<cardLine;++i,++idx) // x
170 for (ordinal_type k=0;k<npts;++k)
171 output.access(idx,k) = output_x.access(i,k,0)*output_y.access(j,k);
172 }
173 break;
174 }
175 default: {
176 INTREPID2_TEST_FOR_ABORT( true,
177 ">>> ERROR: (Intrepid2::Basis_HDIV_QUAD_In_FEM::Serial::getValues) operator is not supported" );
178 }
179 }
180 }
181
182 template<typename DT, ordinal_type numPtsPerEval,
183 typename outputValueValueType, class ...outputValueProperties,
184 typename inputPointValueType, class ...inputPointProperties,
185 typename vinvValueType, class ...vinvProperties>
186 void
187 Basis_HDIV_QUAD_In_FEM::
188 getValues( Kokkos::DynRankView<outputValueValueType,outputValueProperties...> outputValues,
189 const Kokkos::DynRankView<inputPointValueType, inputPointProperties...> inputPoints,
190 const Kokkos::DynRankView<vinvValueType, vinvProperties...> vinvLine,
191 const Kokkos::DynRankView<vinvValueType, vinvProperties...> vinvBubble,
192 const EOperator operatorType ) {
193 typedef Kokkos::DynRankView<outputValueValueType,outputValueProperties...> outputValueViewType;
194 typedef Kokkos::DynRankView<inputPointValueType, inputPointProperties...> inputPointViewType;
195 typedef Kokkos::DynRankView<vinvValueType, vinvProperties...> vinvViewType;
196 typedef typename ExecSpace<typename inputPointViewType::execution_space,typename DT::execution_space>::ExecSpaceType ExecSpaceType;
197
198 // loopSize corresponds to cardinality
199 const auto loopSizeTmp1 = (inputPoints.extent(0)/numPtsPerEval);
200 const auto loopSizeTmp2 = (inputPoints.extent(0)%numPtsPerEval != 0);
201 const auto loopSize = loopSizeTmp1 + loopSizeTmp2;
202 Kokkos::RangePolicy<ExecSpaceType,Kokkos::Schedule<Kokkos::Static> > policy(0, loopSize);
203
204 typedef typename inputPointViewType::value_type inputPointType;
205
206 const ordinal_type cardinality = outputValues.extent(0);
207 //get basis order based on basis cardinality.
208 ordinal_type order = 0; // = std::sqrt(cardinality/2);
209 ordinal_type cardBubble; // = std::sqrt(cardinality/2);
210 ordinal_type cardLine; // = cardBubble+1;
211 do {
212 cardBubble = Intrepid2::getPnCardinality<1>(order);
213 cardLine = Intrepid2::getPnCardinality<1>(++order);
214 } while((2*cardBubble*cardLine != cardinality) && (order != Parameters::MaxOrder));
215
216 auto vcprop = Kokkos::common_view_alloc_prop(inputPoints);
217 typedef typename Kokkos::DynRankView< inputPointType, typename inputPointViewType::memory_space> workViewType;
218
219 switch (operatorType) {
220 case OPERATOR_VALUE: {
221 auto workSize = Serial<OPERATOR_VALUE>::getWorkSizePerPoint(order);
222 workViewType work(Kokkos::view_alloc("Basis_HDIV_QUAD_In_FEM::getValues::work", vcprop), workSize, inputPoints.extent(0));
223 typedef Functor<outputValueViewType,inputPointViewType,vinvViewType, workViewType,
224 OPERATOR_VALUE,numPtsPerEval> FunctorType;
225 Kokkos::parallel_for( policy, FunctorType(outputValues, inputPoints, vinvLine, vinvBubble, work) );
226 break;
227 }
228 case OPERATOR_DIV: {
229 auto workSize = Serial<OPERATOR_DIV>::getWorkSizePerPoint(order);
230 workViewType work(Kokkos::view_alloc("Basis_HDIV_QUAD_In_FEM::getValues::work", vcprop), workSize, inputPoints.extent(0));
231 typedef Functor<outputValueViewType,inputPointViewType,vinvViewType, workViewType,
232 OPERATOR_DIV,numPtsPerEval> FunctorType;
233 Kokkos::parallel_for( policy, FunctorType(outputValues, inputPoints, vinvLine, vinvBubble, work) );
234 break;
235 }
236 default: {
237 INTREPID2_TEST_FOR_EXCEPTION( true , std::invalid_argument,
238 ">>> ERROR (Basis_HDIV_QUAD_In_FEM): Operator type not implemented" );
239 }
240 }
241 }
242 }
243
244 // -------------------------------------------------------------------------------------
245 template<typename DT, typename OT, typename PT>
247 Basis_HDIV_QUAD_In_FEM( const ordinal_type order,
248 const EPointType pointType ) {
249
250 INTREPID2_TEST_FOR_EXCEPTION( !(pointType == POINTTYPE_EQUISPACED ||
251 pointType == POINTTYPE_WARPBLEND), std::invalid_argument,
252 ">>> ERROR (Basis_HDIV_QUAD_In_FEM): pointType must be either equispaced or warpblend.");
253
254 // this should be in host
255 Basis_HGRAD_LINE_Cn_FEM<DT,OT,PT> lineBasis( order, pointType );
256 Basis_HVOL_LINE_Cn_FEM<DT,OT,PT> bubbleBasis( order - 1, POINTTYPE_GAUSS );
257
258 const ordinal_type
259 cardLine = lineBasis.getCardinality(),
260 cardBubble = bubbleBasis.getCardinality();
261
262 this->vinvLine_ = Kokkos::DynRankView<typename ScalarViewType::value_type,DT>("Hdiv::Quad::In::vinvLine", cardLine, cardLine);
263 this->vinvBubble_ = Kokkos::DynRankView<typename ScalarViewType::value_type,DT>("Hdiv::Quad::In::vinvBubble", cardBubble, cardBubble);
264
265 lineBasis.getVandermondeInverse(this->vinvLine_);
266 bubbleBasis.getVandermondeInverse(this->vinvBubble_);
267
268 this->basisCardinality_ = 2*cardLine*cardBubble;
269 this->basisDegree_ = order;
270 this->basisCellTopology_ = shards::CellTopology(shards::getCellTopologyData<shards::Quadrilateral<4> >() );
271 this->basisType_ = BASIS_FEM_LAGRANGIAN;
272 this->basisCoordinates_ = COORDINATES_CARTESIAN;
273 this->functionSpace_ = FUNCTION_SPACE_HDIV;
274 pointType_ = pointType;
275
276 // initialize tags
277 {
278 // Basis-dependent initializations
279 const ordinal_type tagSize = 4; // size of DoF tag, i.e., number of fields in the tag
280 const ordinal_type posScDim = 0; // position in the tag, counting from 0, of the subcell dim
281 const ordinal_type posScOrd = 1; // position in the tag, counting from 0, of the subcell ordinal
282 const ordinal_type posDfOrd = 2; // position in the tag, counting from 0, of DoF ordinal relative to the subcell
283
284 // An array with local DoF tags assigned to the basis functions, in the order of their local enumeration
285 constexpr ordinal_type maxCardLine = Parameters::MaxOrder + 1;
286 constexpr ordinal_type maxCardBubble = Parameters::MaxOrder;
287 ordinal_type tags[2*maxCardLine*maxCardBubble][4];
288
289 const ordinal_type edge_x[2] = {0,2};
290 const ordinal_type edge_y[2] = {3,1};
291 {
292 ordinal_type idx = 0;
293
297
298 // since there are x/y components in the interior
299 // dof sum should be computed before the information
300 // is assigned to tags
301 const ordinal_type
302 intr_ndofs_per_direction = (cardLine-2)*cardBubble,
303 intr_ndofs = 2*intr_ndofs_per_direction;
304
305 // x component (lineBasis(y) bubbleBasis(x))
306 for (ordinal_type j=0;j<cardLine;++j) { // y
307 const auto tag_y = lineBasis.getDofTag(j);
308 for (ordinal_type i=0;i<cardBubble;++i,++idx) { // x
309 const auto tag_x = bubbleBasis.getDofTag(i);
310
311 if (tag_x(0) == 1 && tag_y(0) == 0) {
312 // edge: x edge, y vert
313 tags[idx][0] = 1; // edge dof
314 tags[idx][1] = edge_x[tag_y(1)];
315 tags[idx][2] = tag_x(2); // local dof id
316 tags[idx][3] = tag_x(3); // total number of dofs in this vertex
317 } else {
318 // interior
319 tags[idx][0] = 2; // interior dof
320 tags[idx][1] = 0;
321 tags[idx][2] = tag_x(2) + tag_x(3)*tag_y(2); // local dof id
322 tags[idx][3] = intr_ndofs; // total number of dofs in this vertex
323 }
324 }
325 }
326
327 // y component (bubbleBasis(y) lineBasis(x))
328 for (ordinal_type j=0;j<cardBubble;++j) { // y
329 const auto tag_y = bubbleBasis.getDofTag(j);
330 for (ordinal_type i=0;i<cardLine;++i,++idx) { // x
331 const auto tag_x = lineBasis.getDofTag(i);
332
333 if (tag_x(0) == 0 && tag_y(0) == 1) {
334 // edge: x vert, y edge
335 tags[idx][0] = 1; // edge dof
336 tags[idx][1] = edge_y[tag_x(1)];
337 tags[idx][2] = tag_y(2); // local dof id
338 tags[idx][3] = tag_y(3); // total number of dofs in this vertex
339 } else {
340 // interior
341 tags[idx][0] = 2; // interior dof
342 tags[idx][1] = 0;
343 tags[idx][2] = intr_ndofs_per_direction + tag_x(2) + tag_x(3)*tag_y(2); // local dof id
344 tags[idx][3] = intr_ndofs; // total number of dofs in this vertex
345 }
346 }
347 }
348 INTREPID2_TEST_FOR_EXCEPTION( idx != this->basisCardinality_ , std::runtime_error,
349 ">>> ERROR (Basis_HDIV_QUAD_In_FEM): " \
350 "counted tag index is not same as cardinality." );
351 }
352
353 OrdinalTypeArray1DHost tagView(&tags[0][0], this->basisCardinality_*4);
354
355 // Basis-independent function sets tag and enum data in tagToOrdinal_ and ordinalToTag_ arrays:
356 // tags are constructed on host
357 this->setOrdinalTagData(this->tagToOrdinal_,
358 this->ordinalToTag_,
359 tagView,
360 this->basisCardinality_,
361 tagSize,
362 posScDim,
363 posScOrd,
364 posDfOrd);
365 }
366
367 // dofCoords on host and create its mirror view to device
368 Kokkos::DynRankView<typename ScalarViewType::value_type,typename DT::execution_space::array_layout,Kokkos::HostSpace>
369 dofCoordsHost("dofCoordsHost", this->basisCardinality_, this->basisCellTopology_.getDimension());
370
371 // dofCoeffs on host and create its mirror view to device
372 Kokkos::DynRankView<typename ScalarViewType::value_type,typename DT::execution_space::array_layout,Kokkos::HostSpace>
373 dofCoeffsHost("dofCoeffsHost", this->basisCardinality_, this->basisCellTopology_.getDimension());
374
375 Kokkos::DynRankView<typename ScalarViewType::value_type,DT>
376 dofCoordsLine("dofCoordsLine", cardLine, 1),
377 dofCoordsBubble("dofCoordsBubble", cardBubble, 1);
378
379 lineBasis.getDofCoords(dofCoordsLine);
380 auto dofCoordsLineHost = Kokkos::create_mirror_view(Kokkos::HostSpace(), dofCoordsLine);
381 Kokkos::deep_copy(dofCoordsLineHost, dofCoordsLine);
382
383 bubbleBasis.getDofCoords(dofCoordsBubble);
384 auto dofCoordsBubbleHost = Kokkos::create_mirror_view(Kokkos::HostSpace(), dofCoordsBubble);
385 Kokkos::deep_copy(dofCoordsBubbleHost, dofCoordsBubble);
386
387 {
388 ordinal_type idx = 0;
389
390 // x component (lineBasis(y) bubbleBasis(x))
391 for (ordinal_type j=0;j<cardLine;++j) { // y
392 for (ordinal_type i=0;i<cardBubble;++i,++idx) { // x
393 dofCoordsHost(idx,0) = dofCoordsBubbleHost(i,0);
394 dofCoordsHost(idx,1) = dofCoordsLineHost(j,0);
395 dofCoeffsHost(idx,1) = 1.0;
396 }
397 }
398
399 // y component (bubbleBasis(y) lineBasis(x))
400 for (ordinal_type j=0;j<cardBubble;++j) { // y
401 for (ordinal_type i=0;i<cardLine;++i,++idx) { // x
402 dofCoordsHost(idx,0) = dofCoordsLineHost(i,0);
403 dofCoordsHost(idx,1) = dofCoordsBubbleHost(j,0);
404 dofCoeffsHost(idx,0) = 1.0;
405 }
406 }
407 }
408
409 this->dofCoords_ = Kokkos::create_mirror_view(typename DT::memory_space(), dofCoordsHost);
410 Kokkos::deep_copy(this->dofCoords_, dofCoordsHost);
411
412 this->dofCoeffs_ = Kokkos::create_mirror_view(typename DT::memory_space(), dofCoeffsHost);
413 Kokkos::deep_copy(this->dofCoeffs_, dofCoeffsHost);
414 }
415
416}
417
418#endif
Basis_HDIV_QUAD_In_FEM(const ordinal_type order, const EPointType pointType=POINTTYPE_EQUISPACED)
Constructor.
Implementation of the locally H(grad)-compatible FEM basis of variable order on the [-1,...
virtual void getDofCoords(ScalarViewType dofCoords) const override
Returns spatial locations (coordinates) of degrees of freedom on the reference cell.
Implementation of the locally HVOL-compatible FEM basis of variable order on the [-1,...
virtual void getDofCoords(ScalarViewType dofCoords) const override
Returns spatial locations (coordinates) of degrees of freedom on the reference cell.
const OrdinalTypeArrayStride1DHost getDofTag(const ordinal_type dofOrd) const
DoF ordinal to DoF tag lookup.
ordinal_type getCardinality() const
Returns cardinality of the basis.
static constexpr ordinal_type MaxOrder
The maximum reconstruction order.