Intrepid2
Intrepid2_HVOL_TET_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_TET_CN_FEM_DEF_HPP__
16#define __INTREPID2_HVOL_TET_CN_FEM_DEF_HPP__
17
18#include "Intrepid2_HGRAD_TET_Cn_FEM_ORTH.hpp"
19
20namespace Intrepid2 {
21
22 // -------------------------------------------------------------------------------------
23
24 namespace Impl {
25
26 template<EOperator OpType>
27 template<typename OutputViewType,
28 typename InputViewType,
29 typename WorkViewType,
30 typename VinvViewType>
31 KOKKOS_INLINE_FUNCTION
32 void
33 Basis_HVOL_TET_Cn_FEM::Serial<OpType>::
34 getValues( OutputViewType output,
35 const InputViewType input,
36 WorkViewType work,
37 const VinvViewType vinv ) {
38
39 constexpr ordinal_type spaceDim = 3;
40 const ordinal_type
41 card = vinv.extent(0),
42 npts = input.extent(0);
43
44 // compute order
45 ordinal_type order = 0;
46 for (ordinal_type p=0;p<=Parameters::MaxOrder;++p) {
47 if (card == Intrepid2::getPnCardinality<spaceDim>(p)) {
48 order = p;
49 break;
50 }
51 }
52
53 typedef typename Kokkos::DynRankView<typename InputViewType::value_type, typename WorkViewType::memory_space> ViewType;
54 auto vcprop = Kokkos::common_view_alloc_prop(input);
55 auto ptr = work.data();
56
57 switch (OpType) {
58 case OPERATOR_VALUE: {
59 const ViewType phis(Kokkos::view_wrap(ptr, vcprop), card, npts);
60 ViewType dummyView;
61
62 Impl::Basis_HGRAD_TET_Cn_FEM_ORTH::
63 Serial<OpType>::getValues(phis, input, dummyView, order);
64
65 for (ordinal_type i=0;i<card;++i)
66 for (ordinal_type j=0;j<npts;++j) {
67 output.access(i,j) = 0.0;
68 for (ordinal_type k=0;k<card;++k)
69 output.access(i,j) += vinv(k,i)*phis.access(k,j);
70 }
71 break;
72 }
73 case OPERATOR_GRAD:
74 case OPERATOR_D1: {
75 const ViewType phis(Kokkos::view_wrap(ptr, vcprop), card, npts, spaceDim);
76 ptr += card*npts*spaceDim*get_dimension_scalar(input);
77 const ViewType workView(Kokkos::view_wrap(ptr, vcprop), card, npts, spaceDim+1);
78 Impl::Basis_HGRAD_TET_Cn_FEM_ORTH::
79 Serial<OpType>::getValues(phis, input, workView, order);
80
81 for (ordinal_type i=0;i<card;++i)
82 for (ordinal_type j=0;j<npts;++j)
83 for (ordinal_type k=0;k<spaceDim;++k) {
84 output.access(i,j,k) = 0.0;
85 for (ordinal_type l=0;l<card;++l)
86 output.access(i,j,k) += vinv(l,i)*phis.access(l,j,k);
87 }
88 break;
89 }
90 case OPERATOR_D2:
91 case OPERATOR_D3:
92 case OPERATOR_D4:
93 case OPERATOR_D5:
94 case OPERATOR_D6:
95 case OPERATOR_D7:
96 case OPERATOR_D8:
97 case OPERATOR_D9:
98 case OPERATOR_D10: {
99 const ordinal_type dkcard = getDkCardinality<OpType,spaceDim>(); //(orDn + 1);
100 const
101 ViewType phis(Kokkos::view_wrap(ptr, vcprop), card, npts, dkcard);
102 ViewType dummyView;
103
104 Impl::Basis_HGRAD_TET_Cn_FEM_ORTH::
105 Serial<OpType>::getValues(phis, input, dummyView, order);
106
107 for (ordinal_type i=0;i<card;++i)
108 for (ordinal_type j=0;j<npts;++j)
109 for (ordinal_type k=0;k<dkcard;++k) {
110 output.access(i,j,k) = 0.0;
111 for (ordinal_type l=0;l<card;++l)
112 output.access(i,j,k) += vinv(l,i)*phis.access(l,j,k);
113 }
114 break;
115 }
116 default: {
117 INTREPID2_TEST_FOR_ABORT( true,
118 ">>> ERROR (Basis_HVOL_TET_Cn_FEM): Operator type not implemented");
119 }
120 }
121 }
122
123 template<typename DT, ordinal_type numPtsPerEval,
124 typename outputValueValueType, class ...outputValueProperties,
125 typename inputPointValueType, class ...inputPointProperties,
126 typename vinvValueType, class ...vinvProperties>
127 void
128 Basis_HVOL_TET_Cn_FEM::
129 getValues( Kokkos::DynRankView<outputValueValueType,outputValueProperties...> outputValues,
130 const Kokkos::DynRankView<inputPointValueType, inputPointProperties...> inputPoints,
131 const Kokkos::DynRankView<vinvValueType, vinvProperties...> vinv,
132 const EOperator operatorType) {
133 typedef Kokkos::DynRankView<outputValueValueType,outputValueProperties...> outputValueViewType;
134 typedef Kokkos::DynRankView<inputPointValueType, inputPointProperties...> inputPointViewType;
135 typedef Kokkos::DynRankView<vinvValueType, vinvProperties...> vinvViewType;
136 typedef typename ExecSpace<typename inputPointViewType::execution_space,typename DT::execution_space>::ExecSpaceType ExecSpaceType;
137
138 // loopSize corresponds to cardinality
139 const auto loopSizeTmp1 = (inputPoints.extent(0)/numPtsPerEval);
140 const auto loopSizeTmp2 = (inputPoints.extent(0)%numPtsPerEval != 0);
141 const auto loopSize = loopSizeTmp1 + loopSizeTmp2;
142 Kokkos::RangePolicy<ExecSpaceType,Kokkos::Schedule<Kokkos::Static> > policy(0, loopSize);
143
144 typedef typename inputPointViewType::value_type inputPointType;
145
146 const ordinal_type cardinality = outputValues.extent(0);
147 const ordinal_type spaceDim = 3;
148
149 ordinal_type order = 0;
150 while((Intrepid2::getPnCardinality<spaceDim>(++order) != cardinality) && (order != Parameters::MaxOrder));
151
152 auto vcprop = Kokkos::common_view_alloc_prop(inputPoints);
153 typedef typename Kokkos::DynRankView< inputPointType, typename inputPointViewType::memory_space> workViewType;
154
155 switch (operatorType) {
156 case OPERATOR_VALUE: {
157 auto bufferSize = Basis_HVOL_TET_Cn_FEM::Serial<OPERATOR_VALUE>::getWorkSizePerPoint(order);
158 workViewType work(Kokkos::view_alloc("Basis_HVOL_TET_Cn_FEM::getValues::work", vcprop), bufferSize, inputPoints.extent(0));
159 typedef Functor<outputValueViewType,inputPointViewType,vinvViewType, workViewType,
160 OPERATOR_VALUE,numPtsPerEval> FunctorType;
161 Kokkos::parallel_for( policy, FunctorType(outputValues, inputPoints, vinv, work) );
162 break;
163 }
164 case OPERATOR_GRAD:
165 case OPERATOR_D1: {
166 auto bufferSize = Basis_HVOL_TET_Cn_FEM::Serial<OPERATOR_D1>::getWorkSizePerPoint(order);
167 workViewType work(Kokkos::view_alloc("Basis_HVOL_TET_Cn_FEM::getValues::work", vcprop), bufferSize, inputPoints.extent(0));
168 typedef Functor<outputValueViewType,inputPointViewType,vinvViewType, workViewType,
169 OPERATOR_D1,numPtsPerEval> FunctorType;
170 Kokkos::parallel_for( policy, FunctorType(outputValues, inputPoints, vinv, work) );
171 break;
172 }
173 case OPERATOR_D2: {
174 auto bufferSize = Basis_HVOL_TET_Cn_FEM::Serial<OPERATOR_D2>::getWorkSizePerPoint(order);
175 typedef Functor<outputValueViewType,inputPointViewType,vinvViewType, workViewType,
176 OPERATOR_D2,numPtsPerEval> FunctorType;
177 workViewType work(Kokkos::view_alloc("Basis_HVOL_TET_Cn_FEM::getValues::work", vcprop), bufferSize, inputPoints.extent(0));
178 Kokkos::parallel_for( policy, FunctorType(outputValues, inputPoints, vinv, work) );
179 break;
180 }
181 /* case OPERATOR_D3: {
182 typedef Functor<outputValueViewType,inputPointViewType,vinvViewType, workViewType
183 OPERATOR_D3,numPtsPerEval> FunctorType;
184 workViewType work(Kokkos::view_alloc("Basis_HVOL_TET_Cn_FEM::getValues::work", vcprop), cardinality, inputPoints.extent(0), outputValues.extent(2));
185 Kokkos::parallel_for( policy, FunctorType(outputValues, inputPoints, vinv, work) );
186 break;
187 }*/
188 default: {
189 INTREPID2_TEST_FOR_EXCEPTION( true , std::invalid_argument,
190 ">>> ERROR (Basis_HVOL_TET_Cn_FEM): Operator type not implemented" );
191 }
192 }
193 }
194 }
195
196 // -------------------------------------------------------------------------------------
197 template<typename DT, typename OT, typename PT>
198 Basis_HVOL_TET_Cn_FEM<DT,OT,PT>::
199 Basis_HVOL_TET_Cn_FEM( const ordinal_type order,
200 const EPointType pointType ) {
201 constexpr ordinal_type spaceDim = 3;
202
203 this->pointType_ = pointType;
204 this->basisCardinality_ = Intrepid2::getPnCardinality<spaceDim>(order); // bigN
205 this->basisDegree_ = order; // small n
206 this->basisCellTopologyKey_ = shards::Tetrahedron<4>::key;
207 this->basisType_ = BASIS_FEM_LAGRANGIAN;
208 this->basisCoordinates_ = COORDINATES_CARTESIAN;
209 this->functionSpace_ = FUNCTION_SPACE_HVOL;
210
211 const ordinal_type card = this->basisCardinality_;
212
213 // points are computed in the host and will be copied
214 Kokkos::DynRankView<scalarType,typename DT::execution_space::array_layout,Kokkos::HostSpace>
215 dofCoords("HVOL::Tet::Cn::dofCoords", card, spaceDim);
216
217 // construct lattice (only internal nodes for HVOL element)
218 const ordinal_type offset = 1;
219 const shards::CellTopology cellTopo(shards::getCellTopologyData<shards::Tetrahedron<4> >());
220 PointTools::getLattice( dofCoords,
221 cellTopo,
222 order+spaceDim+offset, offset,
223 pointType );
224
225 this->dofCoords_ = Kokkos::create_mirror_view(typename DT::memory_space(), dofCoords);
226 Kokkos::deep_copy(this->dofCoords_, dofCoords);
227
228 // form Vandermonde matrix. Actually, this is the transpose of the VDM,
229 // so we transpose on copy below.
230 const ordinal_type lwork = card*card;
231 Kokkos::DynRankView<scalarType,Kokkos::LayoutLeft,Kokkos::HostSpace>
232 vmat("HVOL::Tet::Cn::vmat", card, card),
233 work("HVOL::Tet::Cn::work", lwork),
234 ipiv("HVOL::Tet::Cn::ipiv", card);
235
236 Impl::Basis_HGRAD_TET_Cn_FEM_ORTH::getValues<Kokkos::HostSpace::execution_space,Parameters::MaxNumPtsPerBasisEval>(typename Kokkos::HostSpace::execution_space{},
237 vmat,
238 dofCoords,
239 order,
240 OPERATOR_VALUE);
241
242 ordinal_type info = 0;
243 Teuchos::LAPACK<ordinal_type,scalarType> lapack;
244
245 lapack.GETRF(card, card,
246 vmat.data(), vmat.stride(1),
247 (ordinal_type*)ipiv.data(),
248 &info);
249
250 INTREPID2_TEST_FOR_EXCEPTION( info != 0,
251 std::runtime_error ,
252 ">>> ERROR: (Intrepid2::Basis_HVOL_TET_Cn_FEM) lapack.GETRF returns nonzero info." );
253
254 lapack.GETRI(card,
255 vmat.data(), vmat.stride(1),
256 (ordinal_type*)ipiv.data(),
257 work.data(), lwork,
258 &info);
259
260 INTREPID2_TEST_FOR_EXCEPTION( info != 0,
261 std::runtime_error ,
262 ">>> ERROR: (Intrepid2::Basis_HVOL_TET_Cn_FEM) lapack.GETRI returns nonzero info." );
263
264 // create host mirror
265 Kokkos::DynRankView<scalarType,typename DT::execution_space::array_layout,Kokkos::HostSpace>
266 vinv("HVOL::Line::Cn::vinv", card, card);
267
268 for (ordinal_type i=0;i<card;++i)
269 for (ordinal_type j=0;j<card;++j)
270 vinv(i,j) = vmat(j,i);
271
272 this->vinv_ = Kokkos::create_mirror_view(typename DT::memory_space(), vinv);
273 Kokkos::deep_copy(this->vinv_ , vinv);
274
275 // initialize tags
276 {
277 // Basis-dependent initializations
278 constexpr ordinal_type tagSize = 4; // size of DoF tag, i.e., number of fields in the tag
279 const ordinal_type posScDim = 0; // position in the tag, counting from 0, of the subcell dim
280 const ordinal_type posScOrd = 1; // position in the tag, counting from 0, of the subcell ordinal
281 const ordinal_type posDfOrd = 2; // position in the tag, counting from 0, of DoF ordinal relative to the subcell
282
283 constexpr ordinal_type maxCard = Intrepid2::getPnCardinality<spaceDim, Parameters::MaxOrder>();
284 ordinal_type tags[maxCard][tagSize];
285
286 const ordinal_type
287 numElemDof = this->basisCardinality_; //all the degrees of freedom are internal.
288
289
290 ordinal_type elemId = 0;
291 for (ordinal_type i=0;i<this->basisCardinality_;++i) {
292 // elem
293 tags[i][0] = spaceDim; // intr dof
294 tags[i][1] = 0; // intr id
295 tags[i][2] = elemId++; // local dof id
296 tags[i][3] = numElemDof; // total vert dof
297 }
298
299 OrdinalTypeArray1DHost tagView(&tags[0][0], card*tagSize);
300
301 // Basis-independent function sets tag and enum data in tagToOrdinal_ and ordinalToTag_ arrays:
302 // tags are constructed on host
303 this->setOrdinalTagData(this->tagToOrdinal_,
304 this->ordinalToTag_,
305 tagView,
306 this->basisCardinality_,
307 tagSize,
308 posScDim,
309 posScOrd,
310 posDfOrd);
311 }
312 }
313
314 template<typename DT, typename OT, typename PT>
315 void
316 Basis_HVOL_TET_Cn_FEM<DT,OT,PT>::getScratchSpaceSize(
317 ordinal_type& perTeamSpaceSize,
318 ordinal_type& perThreadSpaceSize,
319 const PointViewType inputPoints,
320 const EOperator operatorType) const {
321 perTeamSpaceSize = 0;
322 perThreadSpaceSize = this->vinv_.extent(0)*get_dimension_scalar(inputPoints)*sizeof(typename BasisBase::scalarType);
323 }
324
325 template<typename DT, typename OT, typename PT>
326 KOKKOS_INLINE_FUNCTION
327 void
328 Basis_HVOL_TET_Cn_FEM<DT,OT,PT>::getValues(
329 OutputViewType outputValues,
330 const PointViewType inputPoints,
331 const EOperator operatorType,
332 const typename Kokkos::TeamPolicy<typename DT::execution_space>::member_type& team_member,
333 const typename DT::execution_space::scratch_memory_space & scratchStorage,
334 const ordinal_type subcellDim,
335 const ordinal_type subcellOrdinal) const {
336
337 INTREPID2_TEST_FOR_ABORT( !((subcellDim == -1) && (subcellOrdinal == -1)),
338 ">>> ERROR: (Intrepid2::Basis_HVOL_TET_Cn_FEM::getValues), The capability of selecting subsets of basis functions has not been implemented yet.");
339
340 const int numPoints = inputPoints.extent(0);
341 using ScalarType = typename ScalarTraits<typename PointViewType::value_type>::scalar_type;
342 using WorkViewType = Kokkos::DynRankView< ScalarType,typename DT::execution_space::scratch_memory_space,Kokkos::MemoryTraits<Kokkos::Unmanaged> >;
343 auto sizePerPoint = this->vinv_.extent(0)*get_dimension_scalar(inputPoints);
344 WorkViewType workView(scratchStorage, sizePerPoint*team_member.team_size());
345 using range_type = Kokkos::pair<ordinal_type,ordinal_type>;
346 switch(operatorType) {
347 case OPERATOR_VALUE:
348 Kokkos::parallel_for (Kokkos::TeamThreadRange (team_member, numPoints), [=, &vinv_ = this->vinv_] (ordinal_type& pt) {
349 auto output = Kokkos::subview( outputValues, Kokkos::ALL(), range_type (pt,pt+1), Kokkos::ALL() );
350 const auto input = Kokkos::subview( inputPoints, range_type(pt, pt+1), Kokkos::ALL() );
351 WorkViewType work(workView.data() + sizePerPoint*team_member.team_rank(), sizePerPoint);
352 Impl::Basis_HVOL_TET_Cn_FEM::Serial<OPERATOR_VALUE>::getValues( output, input, work, vinv_);
353 });
354 break;
355 default: {
356 INTREPID2_TEST_FOR_ABORT( true,
357 ">>> ERROR (Basis_HVOL_TET_Cn_FEM): getValues not implemented for this operator");
358 }
359 }
360 }
361
362} // namespace Intrepid2
363#endif
Intrepid2_HGRAD_TET_Cn_FEM_ORTH.hpp
Header file for the Intrepid2::Basis_HGRAD_TET_Cn_FEM_ORTH class.
Intrepid2::Basis_HVOL_TET_Cn_FEM
Implementation of the default HVOL-compatible Lagrange basis of arbitrary degree on Tetrahedron cell.
Definition Intrepid2_HVOL_TET_Cn_FEM.hpp:157
Intrepid2::Basis_HVOL_TET_Cn_FEM::Basis_HVOL_TET_Cn_FEM
Basis_HVOL_TET_Cn_FEM(const ordinal_type order, const EPointType pointType=POINTTYPE_EQUISPACED)
Constructor.
Definition Intrepid2_HVOL_TET_Cn_FEMDef.hpp:199
Intrepid2::Basis_HVOL_TET_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_TET_Cn_FEMDef.hpp:316
Intrepid2::Basis::PointViewType
Kokkos::DynRankView< PointValueType, Kokkos::LayoutStride, DeviceType > PointViewType
View type for input points.
Definition Intrepid2_Basis.hpp:338
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::PointTools::getLattice
static void getLattice(Kokkos::DynRankView< pointValueType, pointProperties... > points, const shards::CellTopology cellType, const ordinal_type order, const ordinal_type offset=0, const EPointType pointType=POINTTYPE_EQUISPACED)
Computes a lattice of points of a given order on a reference simplex, quadrilateral or hexahedron (cu...
Definition Intrepid2_PointToolsDef.hpp:86
Intrepid2::Impl::Basis_HVOL_TET_Cn_FEM::Serial
See Intrepid2::Basis_HVOL_TET_Cn_FEM.
Definition Intrepid2_HVOL_TET_Cn_FEM.hpp:53
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