Intrepid2
Intrepid2_HVOL_HEX_Cn_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
15#ifndef __INTREPID2_HVOL_HEX_CN_FEMDEF_HPP__
16#define __INTREPID2_HVOL_HEX_CN_FEMDEF_HPP__
17
18namespace Intrepid2 {
19
20 // -------------------------------------------------------------------------------------
21 namespace Impl {
22
23 template<EOperator OpType>
24 template<typename OutputViewType,
25 typename InputViewType,
26 typename WorkViewType,
27 typename VinvViewType>
28 KOKKOS_INLINE_FUNCTION
29 void
30 Basis_HVOL_HEX_Cn_FEM::Serial<OpType>::
31 getValues( OutputViewType output,
32 const InputViewType input,
33 WorkViewType work,
34 const VinvViewType vinv,
35 const ordinal_type operatorDn ) {
36 ordinal_type opDn = operatorDn;
37
38 const ordinal_type cardLine = vinv.extent(0);
39 const ordinal_type npts = input.extent(0);
40
41 typedef Kokkos::pair<ordinal_type,ordinal_type> range_type;
42 const auto input_x = Kokkos::subview(input, Kokkos::ALL(), range_type(0,1));
43 const auto input_y = Kokkos::subview(input, Kokkos::ALL(), range_type(1,2));
44 const auto input_z = Kokkos::subview(input, Kokkos::ALL(), range_type(2,3));
45
46 const ordinal_type dim_s = get_dimension_scalar(input);
47 auto ptr0 = work.data();
48 auto ptr1 = work.data()+cardLine*npts*dim_s;
49 auto ptr2 = work.data()+2*cardLine*npts*dim_s;
50 auto ptr3 = work.data()+3*cardLine*npts*dim_s;
51
52 typedef typename Kokkos::DynRankView<typename InputViewType::value_type, typename WorkViewType::memory_space> ViewType;
53 auto vcprop = Kokkos::common_view_alloc_prop(input);
54
55 switch (OpType) {
56 case OPERATOR_VALUE: {
57 ViewType work_line(Kokkos::view_wrap(ptr0, vcprop), cardLine, npts);
58 ViewType output_x(Kokkos::view_wrap(ptr1, vcprop), cardLine, npts);
59 ViewType output_y(Kokkos::view_wrap(ptr2, vcprop), cardLine, npts);
60 ViewType output_z(Kokkos::view_wrap(ptr3, vcprop), cardLine, npts);
61
62 Impl::Basis_HVOL_LINE_Cn_FEM::Serial<OPERATOR_VALUE>::
63 getValues(output_x, input_x, work_line, vinv);
64
65 Impl::Basis_HVOL_LINE_Cn_FEM::Serial<OPERATOR_VALUE>::
66 getValues(output_y, input_y, work_line, vinv);
67
68 Impl::Basis_HVOL_LINE_Cn_FEM::Serial<OPERATOR_VALUE>::
69 getValues(output_z, input_z, work_line, vinv);
70
71 // tensor product
72 ordinal_type idx = 0;
73 for (ordinal_type k=0;k<cardLine;++k) // z
74 for (ordinal_type j=0;j<cardLine;++j) // y
75 for (ordinal_type i=0;i<cardLine;++i,++idx) // x
76 for (ordinal_type l=0;l<npts;++l)
77 output.access(idx,l) = output_x.access(i,l)*output_y.access(j,l)*output_z.access(k,l);
78 break;
79 }
80 case OPERATOR_GRAD:
81 case OPERATOR_D1:
82 case OPERATOR_D2:
83 case OPERATOR_D3:
84 case OPERATOR_D4:
85 case OPERATOR_D5:
86 case OPERATOR_D6:
87 case OPERATOR_D7:
88 case OPERATOR_D8:
89 case OPERATOR_D9:
90 case OPERATOR_D10:
91 opDn = getOperatorOrder(OpType);
92 case OPERATOR_Dn: {
93 const ordinal_type dkcard = opDn + 1;
94
95 ordinal_type d = 0;
96 for (ordinal_type l1=0;l1<dkcard;++l1)
97 for (ordinal_type l0=0;l0<(l1+1);++l0) {
98 const ordinal_type mult_x = (opDn - l1);
99 const ordinal_type mult_y = l1 - l0;
100 const ordinal_type mult_z = l0;
101
102 //std::cout << " l0, l1 = " << l0 << " " << l1 << std::endl;
103 //std::cout << " x , y , z = " << mult_x << " " << mult_y << " " << mult_z << std::endl;
104
105 if (mult_x < 0) {
106 // pass
107 } else {
108 ViewType work_line(Kokkos::view_wrap(ptr0, vcprop), cardLine, npts);
109 decltype(work_line) output_x, output_y, output_z;
110
111 if (mult_x) {
112 output_x = ViewType(Kokkos::view_wrap(ptr1, vcprop), cardLine, npts, 1);
113 Impl::Basis_HVOL_LINE_Cn_FEM::Serial<OPERATOR_Dn>::
114 getValues(output_x, input_x, work_line, vinv, mult_x);
115 } else {
116 output_x = ViewType(Kokkos::view_wrap(ptr1, vcprop), cardLine, npts);
117 Impl::Basis_HVOL_LINE_Cn_FEM::Serial<OPERATOR_VALUE>::
118 getValues(output_x, input_x, work_line, vinv);
119 }
120
121 if (mult_y) {
122 output_y = ViewType(Kokkos::view_wrap(ptr2, vcprop), cardLine, npts, 1);
123 Impl::Basis_HVOL_LINE_Cn_FEM::Serial<OPERATOR_Dn>::
124 getValues(output_y, input_y, work_line, vinv, mult_y);
125 } else {
126 output_y = ViewType(Kokkos::view_wrap(ptr2, vcprop), cardLine, npts);
127 Impl::Basis_HVOL_LINE_Cn_FEM::Serial<OPERATOR_VALUE>::
128 getValues(output_y, input_y, work_line, vinv);
129 }
130
131 if (mult_z) {
132 output_z = ViewType(Kokkos::view_wrap(ptr3, vcprop), cardLine, npts, 1);
133 Impl::Basis_HVOL_LINE_Cn_FEM::Serial<OPERATOR_Dn>::
134 getValues(output_z, input_z, work_line, vinv, mult_z);
135 } else {
136 output_z = ViewType(Kokkos::view_wrap(ptr3, vcprop), cardLine, npts);
137 Impl::Basis_HVOL_LINE_Cn_FEM::Serial<OPERATOR_VALUE>::
138 getValues(output_z, input_z, work_line, vinv);
139 }
140
141 // tensor product (extra dimension of ouput x,y and z are ignored)
142 ordinal_type idx = 0;
143 for (ordinal_type k=0;k<cardLine;++k) // z
144 for (ordinal_type j=0;j<cardLine;++j) // y
145 for (ordinal_type i=0;i<cardLine;++i,++idx) // x
146 for (ordinal_type l=0;l<npts;++l)
147 output.access(idx,l,d) = output_x.access(i,l,0)*output_y.access(j,l,0)*output_z.access(k,l,0);
148 ++d;
149 }
150 }
151 break;
152 }
153 default: {
154 INTREPID2_TEST_FOR_ABORT( true ,
155 ">>> ERROR (Basis_HVOL_HEX_Cn_FEM): Operator type not implemented");
156 break;
157 }
158 }
159 }
160
161 template<typename DT, ordinal_type numPtsPerEval,
162 typename outputValueValueType, class ...outputValueProperties,
163 typename inputPointValueType, class ...inputPointProperties,
164 typename vinvValueType, class ...vinvProperties>
165 void
166 Basis_HVOL_HEX_Cn_FEM::
167 getValues( Kokkos::DynRankView<outputValueValueType,outputValueProperties...> outputValues,
168 const Kokkos::DynRankView<inputPointValueType, inputPointProperties...> inputPoints,
169 const Kokkos::DynRankView<vinvValueType, vinvProperties...> vinv,
170 const EOperator operatorType ) {
171 typedef Kokkos::DynRankView<outputValueValueType,outputValueProperties...> outputValueViewType;
172 typedef Kokkos::DynRankView<inputPointValueType, inputPointProperties...> inputPointViewType;
173 typedef Kokkos::DynRankView<vinvValueType, vinvProperties...> vinvViewType;
174 typedef typename ExecSpace<typename inputPointViewType::execution_space,typename DT::execution_space>::ExecSpaceType ExecSpaceType;
175
176 // loopSize corresponds to cardinality
177 const auto loopSizeTmp1 = (inputPoints.extent(0)/numPtsPerEval);
178 const auto loopSizeTmp2 = (inputPoints.extent(0)%numPtsPerEval != 0);
179 const auto loopSize = loopSizeTmp1 + loopSizeTmp2;
180 Kokkos::RangePolicy<ExecSpaceType,Kokkos::Schedule<Kokkos::Static> > policy(0, loopSize);
181
182 typedef typename inputPointViewType::value_type inputPointType;
183
184 const ordinal_type cardinality = outputValues.extent(0);
185 const ordinal_type cardLine = std::cbrt(cardinality);
186 const ordinal_type workSize = 4*cardLine;
187
188 auto vcprop = Kokkos::common_view_alloc_prop(inputPoints);
189 typedef typename Kokkos::DynRankView< inputPointType, typename inputPointViewType::memory_space> workViewType;
190 workViewType work(Kokkos::view_alloc("Basis_HVOL_HEX_Cn_FEM::getValues::work", vcprop), workSize, inputPoints.extent(0));
191
192 switch (operatorType) {
193 case OPERATOR_VALUE: {
194 typedef Functor<outputValueViewType,inputPointViewType,vinvViewType,workViewType,
195 OPERATOR_VALUE,numPtsPerEval> FunctorType;
196 Kokkos::parallel_for( policy, FunctorType(outputValues, inputPoints, vinv, work) );
197 break;
198 }
199 case OPERATOR_GRAD:
200 case OPERATOR_D1:
201 case OPERATOR_D2:
202 case OPERATOR_D3:
203 case OPERATOR_D4:
204 case OPERATOR_D5:
205 case OPERATOR_D6:
206 case OPERATOR_D7:
207 case OPERATOR_D8:
208 case OPERATOR_D9:
209 case OPERATOR_D10: {
210 typedef Functor<outputValueViewType,inputPointViewType,vinvViewType,workViewType,
211 OPERATOR_Dn,numPtsPerEval> FunctorType;
212 Kokkos::parallel_for( policy, FunctorType(outputValues, inputPoints, vinv, work,
213 getOperatorOrder(operatorType)) );
214 break;
215 }
216 default: {
217 INTREPID2_TEST_FOR_EXCEPTION( true , std::invalid_argument,
218 ">>> ERROR (Basis_HVOL_HEX_Cn_FEM): Operator type not implemented" );
219 // break; commented out since exception is thrown
220 }
221 }
222 }
223 }
224
225 // -------------------------------------------------------------------------------------
226 template<typename DT, typename OT, typename PT>
227 Basis_HVOL_HEX_Cn_FEM<DT,OT,PT>::
228 Basis_HVOL_HEX_Cn_FEM( const ordinal_type order,
229 const EPointType pointType ) {
230
231 // this should be in host
232 Basis_HVOL_LINE_Cn_FEM<DT,OT,PT> lineBasis( order, pointType );
233 const auto cardLine = lineBasis.getCardinality();
234
235 this->pointType_ = pointType;
236 this->vinv_ = Kokkos::DynRankView<typename ScalarViewType::value_type,DT>("HVOL::HEX::Cn::vinv", cardLine, cardLine);
237 lineBasis.getVandermondeInverse(this->vinv_);
238
239 const ordinal_type spaceDim = 3;
240 this->basisCardinality_ = cardLine*cardLine*cardLine;
241 this->basisDegree_ = order;
242 this->basisCellTopologyKey_ = shards::Hexahedron<8>::key;
243 this->basisType_ = BASIS_FEM_LAGRANGIAN;
244 this->basisCoordinates_ = COORDINATES_CARTESIAN;
245 this->functionSpace_ = FUNCTION_SPACE_HVOL;
246
247 // initialize tags
248 {
249 // Basis-dependent initializations
250 const ordinal_type tagSize = 4; // size of DoF tag, i.e., number of fields in the tag
251 const ordinal_type posScDim = 0; // position in the tag, counting from 0, of the subcell dim
252 const ordinal_type posScOrd = 1; // position in the tag, counting from 0, of the subcell ordinal
253 const ordinal_type posDfOrd = 2; // position in the tag, counting from 0, of DoF ordinal relative to the subcell
254
255 // An array with local DoF tags assigned to the basis functions, in the order of their local enumeration
256 constexpr ordinal_type maxCardLine = Parameters::MaxOrder + 1;
257 ordinal_type tags[maxCardLine*maxCardLine*maxCardLine][4];
258
259 {
260 ordinal_type idx = 0;
261 for (auto k=0;k<cardLine;++k) { // z
262 const auto tag_z = lineBasis.getDofTag(k);
263 for (ordinal_type j=0;j<cardLine;++j) { // y
264 const auto tag_y = lineBasis.getDofTag(j);
265 for (ordinal_type i=0;i<cardLine;++i,++idx) { // x
266 const auto tag_x = lineBasis.getDofTag(i);
267
268 // interior
269 tags[idx][0] = 3; // interior dof
270 tags[idx][1] = 0;
271 tags[idx][2] = tag_x(2) + tag_x(3)*tag_y(2) + tag_x(3)*tag_y(3)*tag_z(2); // local dof id
272 tags[idx][3] = tag_x(3)*tag_y(3)*tag_z(3); // total number of dofs in this vertex
273 }
274 }
275 }
276 }
277
278 OrdinalTypeArray1DHost tagView(&tags[0][0], this->basisCardinality_*4);
279
280 // Basis-independent function sets tag and enum data in tagToOrdinal_ and ordinalToTag_ arrays:
281 // tags are constructed on host
282 this->setOrdinalTagData(this->tagToOrdinal_,
283 this->ordinalToTag_,
284 tagView,
285 this->basisCardinality_,
286 tagSize,
287 posScDim,
288 posScOrd,
289 posDfOrd);
290 }
291
292 // dofCoords on host and create its mirror view to device
293 Kokkos::DynRankView<typename ScalarViewType::value_type,typename DT::execution_space::array_layout,Kokkos::HostSpace>
294 dofCoordsHost("dofCoordsHost", this->basisCardinality_, spaceDim);
295
296 Kokkos::DynRankView<typename ScalarViewType::value_type,DT>
297 dofCoordsLine("dofCoordsLine", cardLine, 1);
298
299 lineBasis.getDofCoords(dofCoordsLine);
300 auto dofCoordsLineHost = Kokkos::create_mirror_view(Kokkos::HostSpace(), dofCoordsLine);
301 Kokkos::deep_copy(dofCoordsLineHost, dofCoordsLine);
302 {
303 ordinal_type idx = 0;
304 for (auto k=0;k<cardLine;++k) { // z
305 for (ordinal_type j=0;j<cardLine;++j) { // y
306 for (ordinal_type i=0;i<cardLine;++i,++idx) { // x
307 dofCoordsHost(idx,0) = dofCoordsLineHost(i,0);
308 dofCoordsHost(idx,1) = dofCoordsLineHost(j,0);
309 dofCoordsHost(idx,2) = dofCoordsLineHost(k,0);
310 }
311 }
312 }
313
314 }
315
316 this->dofCoords_ = Kokkos::create_mirror_view(typename DT::memory_space(), dofCoordsHost);
317 Kokkos::deep_copy(this->dofCoords_, dofCoordsHost);
318 }
319
320 template<typename DT, typename OT, typename PT>
321 void
322 Basis_HVOL_HEX_Cn_FEM<DT,OT,PT>::getScratchSpaceSize(
323 ordinal_type& perTeamSpaceSize,
324 ordinal_type& perThreadSpaceSize,
325 const PointViewType inputPoints,
326 const EOperator operatorType) const {
327 perTeamSpaceSize = 0;
328 perThreadSpaceSize = 4*this->vinv_.extent(0)*get_dimension_scalar(inputPoints)*sizeof(typename BasisBase::scalarType);
329 }
330
331 template<typename DT, typename OT, typename PT>
332 KOKKOS_INLINE_FUNCTION
333 void
334 Basis_HVOL_HEX_Cn_FEM<DT,OT,PT>::getValues(
335 OutputViewType outputValues,
336 const PointViewType inputPoints,
337 const EOperator operatorType,
338 const typename Kokkos::TeamPolicy<typename DT::execution_space>::member_type& team_member,
339 const typename DT::execution_space::scratch_memory_space & scratchStorage,
340 const ordinal_type subcellDim,
341 const ordinal_type subcellOrdinal) const {
342
343 INTREPID2_TEST_FOR_ABORT( !((subcellDim == -1) && (subcellOrdinal == -1)),
344 ">>> ERROR: (Intrepid2::Basis_HVOL_HEX_Cn_FEM::getValues), The capability of selecting subsets of basis functions has not been implemented yet.");
345
346 const int numPoints = inputPoints.extent(0);
347 using ScalarType = typename ScalarTraits<typename PointViewType::value_type>::scalar_type;
348 using WorkViewType = Kokkos::DynRankView< ScalarType,typename DT::execution_space::scratch_memory_space,Kokkos::MemoryTraits<Kokkos::Unmanaged> >;
349 auto sizePerPoint = 4*this->vinv_.extent(0)*get_dimension_scalar(inputPoints);
350 WorkViewType workView(scratchStorage, sizePerPoint*team_member.team_size());
351 using range_type = Kokkos::pair<ordinal_type,ordinal_type>;
352 switch(operatorType) {
353 case OPERATOR_VALUE:
354 Kokkos::parallel_for (Kokkos::TeamThreadRange (team_member, numPoints), [=, &vinv_ = this->vinv_, basisDegree_ = this->basisDegree_] (ordinal_type& pt) {
355 auto output = Kokkos::subview( outputValues, Kokkos::ALL(), range_type (pt,pt+1), Kokkos::ALL() );
356 const auto input = Kokkos::subview( inputPoints, range_type(pt, pt+1), Kokkos::ALL() );
357 WorkViewType work(workView.data() + sizePerPoint*team_member.team_rank(), sizePerPoint);
358 Impl::Basis_HVOL_HEX_Cn_FEM::Serial<OPERATOR_VALUE>::getValues( output, input, work, vinv_, basisDegree_);
359 });
360 break;
361 default: {
362 INTREPID2_TEST_FOR_ABORT( true,
363 ">>> ERROR (Basis_HVOL_HEX_Cn_FEM): getValues not implemented for this operator");
364 }
365 }
366 }
367
368} // namespace Intrepid2
369
370#endif
Intrepid2::getOperatorOrder
KOKKOS_INLINE_FUNCTION ordinal_type getOperatorOrder(const EOperator operatorType)
Returns order of an operator.
Definition Intrepid2_BasisDef.hpp:161
Intrepid2::Basis_HVOL_HEX_Cn_FEM
Implementation of the default HVOL-compatible FEM basis of degree n on Hexahedron cell.
Definition Intrepid2_HVOL_HEX_Cn_FEM.hpp:138
Intrepid2::Basis_HVOL_HEX_Cn_FEM::Basis_HVOL_HEX_Cn_FEM
Basis_HVOL_HEX_Cn_FEM(const ordinal_type order, const EPointType pointType=POINTTYPE_EQUISPACED)
Constructor.
Definition Intrepid2_HVOL_HEX_Cn_FEMDef.hpp:228
Intrepid2::Basis_HVOL_HEX_Cn_FEM::getScratchSpaceSize
virtual void getScratchSpaceSize(ordinal_type &perTeamSpaceSize, ordinal_type &perThreadSpaceSize, const PointViewType inputPoints, const EOperator operatorType=OPERATOR_VALUE) const override
Return the size of the scratch space, in bytes, needed for using the team-level implementation of get...
Definition Intrepid2_HVOL_HEX_Cn_FEMDef.hpp:322
Intrepid2::Basis_HVOL_LINE_Cn_FEM
Implementation of the locally HVOL-compatible FEM basis of variable order on the [-1,...
Definition Intrepid2_HVOL_LINE_Cn_FEM.hpp:145
Intrepid2::Basis_HVOL_LINE_Cn_FEM::getDofCoords
virtual void getDofCoords(ScalarViewType dofCoords) const override
Returns spatial locations (coordinates) of degrees of freedom on the reference cell.
Definition Intrepid2_HVOL_LINE_Cn_FEM.hpp:205
Intrepid2::Basis::PointViewType
Kokkos::DynRankView< PointValueType, Kokkos::LayoutStride, DeviceType > PointViewType
View type for input points.
Definition Intrepid2_Basis.hpp:338
Intrepid2::Basis::getDofTag
const OrdinalTypeArrayStride1DHost getDofTag(const ordinal_type dofOrd) const
DoF ordinal to DoF tag lookup.
Definition Intrepid2_Basis.hpp:941
Intrepid2::Basis::getCardinality
ordinal_type getCardinality() const
Returns cardinality of the basis.
Definition Intrepid2_Basis.hpp:805
Intrepid2::Basis< DeviceType, outputValueType, pointValueType >::scalarType
ScalarTraits< pointValueType >::scalar_type scalarType
Scalar type for point values.
Definition Intrepid2_Basis.hpp:157
Intrepid2::Basis::OrdinalTypeArray1DHost
Kokkos::View< ordinal_type *, typename ExecutionSpace::array_layout, Kokkos::HostSpace > OrdinalTypeArray1DHost
View type for 1d host array.
Definition Intrepid2_Basis.hpp:125
Intrepid2::Parameters::MaxOrder
static constexpr ordinal_type MaxOrder
The maximum reconstruction order.
Definition Intrepid2_Types.hpp:102
Intrepid2::Impl::Basis_HVOL_HEX_Cn_FEM::Serial
See Intrepid2::Basis_HVOL_HEX_Cn_FEM.
Definition Intrepid2_HVOL_HEX_Cn_FEM.hpp:34
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