Intrepid2
Intrepid2_HVOL_LINE_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_LINE_CN_FEM_DEF_HPP__
16#define __INTREPID2_HVOL_LINE_CN_FEM_DEF_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_LINE_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 card = vinv.extent(0);
39 const ordinal_type npts = input.extent(0);
40
41 const ordinal_type order = card - 1;
42 const double alpha = 0.0, beta = 0.0;
43
44 typedef typename Kokkos::DynRankView<typename InputViewType::value_type, typename WorkViewType::memory_space> ViewType;
45 auto vcprop = Kokkos::common_view_alloc_prop(input);
46
47 switch (opType) {
48 case OPERATOR_VALUE: {
49 ViewType phis(Kokkos::view_wrap(work.data(), vcprop), card, npts);
50
51 Impl::Basis_HGRAD_LINE_Cn_FEM_JACOBI::
52 Serial<opType>::getValues(phis, input, order, alpha, beta);
53
54 for (ordinal_type i=0;i<card;++i)
55 for (ordinal_type j=0;j<npts;++j) {
56 output.access(i,j) = 0.0;
57 for (ordinal_type k=0;k<card;++k)
58 output.access(i,j) += vinv(k,i)*phis.access(k,j);
59 }
60 break;
61 }
62 case OPERATOR_GRAD:
63 case OPERATOR_D1:
64 case OPERATOR_D2:
65 case OPERATOR_D3:
66 case OPERATOR_D4:
67 case OPERATOR_D5:
68 case OPERATOR_D6:
69 case OPERATOR_D7:
70 case OPERATOR_D8:
71 case OPERATOR_D9:
72 case OPERATOR_D10:
73 opDn = getOperatorOrder(opType);
74 case OPERATOR_Dn: {
75 // dkcard is always 1 for 1D element
76 const ordinal_type dkcard = 1;
77 ViewType phis(Kokkos::view_wrap(work.data(), vcprop), card, npts, dkcard);
78 Impl::Basis_HGRAD_LINE_Cn_FEM_JACOBI::
79 Serial<opType>::getValues(phis, input, order, alpha, beta, opDn);
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<dkcard;++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 default: {
91 INTREPID2_TEST_FOR_ABORT( true,
92 ">>> ERROR: (Intrepid2::Basis_HVOL_LINE_Cn_FEM::Serial::getValues) operator is not supported." );
93 }
94 }
95 }
96
97
98 template<typename DT, ordinal_type numPtsPerEval,
99 typename outputValueValueType, class ...outputValueProperties,
100 typename inputPointValueType, class ...inputPointProperties,
101 typename vinvValueType, class ...vinvProperties>
102 void
103 Basis_HVOL_LINE_Cn_FEM::
104 getValues( Kokkos::DynRankView<outputValueValueType,outputValueProperties...> outputValues,
105 const Kokkos::DynRankView<inputPointValueType, inputPointProperties...> inputPoints,
106 const Kokkos::DynRankView<vinvValueType, vinvProperties...> vinv,
107 const EOperator operatorType ) {
108 typedef Kokkos::DynRankView<outputValueValueType,outputValueProperties...> outputValueViewType;
109 typedef Kokkos::DynRankView<inputPointValueType, inputPointProperties...> inputPointViewType;
110 typedef Kokkos::DynRankView<vinvValueType, vinvProperties...> vinvViewType;
111 typedef typename ExecSpace<typename inputPointViewType::execution_space,typename DT::execution_space>::ExecSpaceType ExecSpaceType;
112
113 // loopSize corresponds to cardinality
114 const auto loopSizeTmp1 = (inputPoints.extent(0)/numPtsPerEval);
115 const auto loopSizeTmp2 = (inputPoints.extent(0)%numPtsPerEval != 0);
116 const auto loopSize = loopSizeTmp1 + loopSizeTmp2;
117 Kokkos::RangePolicy<ExecSpaceType,Kokkos::Schedule<Kokkos::Static> > policy(0, loopSize);
118
119 typedef typename inputPointViewType::value_type inputPointType;
120
121 const ordinal_type cardinality = outputValues.extent(0);
122
123 auto vcprop = Kokkos::common_view_alloc_prop(inputPoints);
124 typedef typename Kokkos::DynRankView< inputPointType, typename inputPointViewType::memory_space> workViewType;
125 workViewType work(Kokkos::view_alloc("Basis_HVOL_LINE_Cn_FEM::getValues::work", vcprop), cardinality, inputPoints.extent(0));
126
127 switch (operatorType) {
128 case OPERATOR_VALUE: {
129 typedef Functor<outputValueViewType,inputPointViewType,vinvViewType,workViewType,
130 OPERATOR_VALUE,numPtsPerEval> FunctorType;
131 Kokkos::parallel_for( policy, FunctorType(outputValues, inputPoints, vinv, work) );
132 break;
133 }
134 case OPERATOR_GRAD:
135 case OPERATOR_D1:
136 case OPERATOR_D2:
137 case OPERATOR_D3:
138 case OPERATOR_D4:
139 case OPERATOR_D5:
140 case OPERATOR_D6:
141 case OPERATOR_D7:
142 case OPERATOR_D8:
143 case OPERATOR_D9:
144 case OPERATOR_D10: {
145 typedef Functor<outputValueViewType,inputPointViewType,vinvViewType,workViewType,
146 OPERATOR_Dn,numPtsPerEval> FunctorType;
147 Kokkos::parallel_for( policy, FunctorType(outputValues, inputPoints, vinv, work,
148 getOperatorOrder(operatorType)) );
149 break;
150 }
151 default: {
152 INTREPID2_TEST_FOR_EXCEPTION( true , std::invalid_argument,
153 ">>> ERROR (Basis_HVOL_LINE_Cn_FEM): Operator type not implemented" );
154 //break; commented out because this always throws
155 }
156 }
157 }
158 }
159
160 // -------------------------------------------------------------------------------------
161
162 template<typename DT, typename OT, typename PT>
163 Basis_HVOL_LINE_Cn_FEM<DT,OT,PT>::
164 Basis_HVOL_LINE_Cn_FEM( const ordinal_type order,
165 const EPointType pointType ) {
166 this->pointType_ = pointType;
167 this->basisCardinality_ = order+1;
168 this->basisDegree_ = order;
169 this->basisCellTopologyKey_ = shards::Line<2>::key;
170 this->basisType_ = BASIS_FEM_LAGRANGIAN;
171 this->basisCoordinates_ = COORDINATES_CARTESIAN;
172 this->functionSpace_ = FUNCTION_SPACE_HVOL;
173
174 const ordinal_type card = this->basisCardinality_;
175
176 // points are computed in the host and will be copied
177 Kokkos::DynRankView<typename ScalarViewType::value_type,typename DT::execution_space::array_layout,Kokkos::HostSpace>
178 dofCoords("HVOL::Line::Cn::dofCoords", card, 1);
179
180 //Default is Equispaced
181 auto pointT = (pointType == POINTTYPE_DEFAULT) ? POINTTYPE_EQUISPACED : pointType;
182
183 switch (pointT) {
184 case POINTTYPE_EQUISPACED:
185 case POINTTYPE_WARPBLEND: {
186 // lattice ordering
187 {
188 const shards::CellTopology cellTopo(shards::getCellTopologyData<shards::Line<2> >());
189 const ordinal_type offset = 1;
190 PointTools::getLattice( dofCoords,
191 cellTopo,
192 order+1+offset, offset,
193 pointT );
194
195 }
196 break;
197 }
198 case POINTTYPE_GAUSS: {
199 // internal points only
200 PointTools::getGaussPoints( dofCoords,
201 order );
202 break;
203 }
204 default: {
205 INTREPID2_TEST_FOR_EXCEPTION( !isValidPointType(pointT),
206 std::invalid_argument ,
207 ">>> ERROR: (Intrepid2::Basis_HVOL_LINE_Cn_FEM) invalid pointType." );
208 }
209 }
210
211 this->dofCoords_ = Kokkos::create_mirror_view(typename DT::memory_space(), dofCoords);
212 Kokkos::deep_copy(this->dofCoords_, dofCoords);
213
214 // form Vandermonde matrix; actually, this is the transpose of the VDM,
215 // this matrix is used in LAPACK so it should be column major and left layout
216 const ordinal_type lwork = card*card;
217 Kokkos::DynRankView<typename ScalarViewType::value_type,Kokkos::LayoutLeft,Kokkos::HostSpace>
218 vmat("HVOL::Line::Cn::vmat", card, card),
219 work("HVOL::Line::Cn::work", lwork),
220 ipiv("HVOL::Line::Cn::ipiv", card);
221
222 const double alpha = 0.0, beta = 0.0;
223 Impl::Basis_HGRAD_LINE_Cn_FEM_JACOBI::
224 getValues<Kokkos::HostSpace::execution_space,Parameters::MaxNumPtsPerBasisEval>
225 (typename Kokkos::HostSpace::execution_space{}, vmat, dofCoords, order, alpha, beta, OPERATOR_VALUE);
226
227 ordinal_type info = 0;
228 Teuchos::LAPACK<ordinal_type,typename ScalarViewType::value_type> lapack;
229
230 lapack.GETRF(card, card,
231 vmat.data(), vmat.stride(1),
232 (ordinal_type*)ipiv.data(),
233 &info);
234
235 INTREPID2_TEST_FOR_EXCEPTION( info != 0,
236 std::runtime_error ,
237 ">>> ERROR: (Intrepid2::Basis_HVOL_LINE_Cn_FEM) lapack.GETRF returns nonzero info." );
238
239 lapack.GETRI(card,
240 vmat.data(), vmat.stride(1),
241 (ordinal_type*)ipiv.data(),
242 work.data(), lwork,
243 &info);
244
245 INTREPID2_TEST_FOR_EXCEPTION( info != 0,
246 std::runtime_error ,
247 ">>> ERROR: (Intrepid2::Basis_HVOL_LINE_Cn_FEM) lapack.GETRI returns nonzero info." );
248
249 // create host mirror
250 Kokkos::DynRankView<typename ScalarViewType::value_type,typename DT::execution_space::array_layout,Kokkos::HostSpace>
251 vinv("HVOL::Line::Cn::vinv", card, card);
252
253 for (ordinal_type i=0;i<card;++i)
254 for (ordinal_type j=0;j<card;++j)
255 vinv(i,j) = vmat(j,i);
256
257 this->vinv_ = Kokkos::create_mirror_view(typename DT::memory_space(), vinv);
258 Kokkos::deep_copy(this->vinv_ , vinv);
259
260 // initialize tags
261 {
262 // Basis-dependent initializations
263 const ordinal_type tagSize = 4; // size of DoF tag, i.e., number of fields in the tag
264 const ordinal_type posScDim = 0; // position in the tag, counting from 0, of the subcell dim
265 const ordinal_type posScOrd = 1; // position in the tag, counting from 0, of the subcell ordinal
266 const ordinal_type posDfOrd = 2; // position in the tag, counting from 0, of DoF ordinal relative to the subcell
267
268
269 ordinal_type tags[Parameters::MaxOrder+1][4];
270
271 for (ordinal_type i=0;i<card;++i) {
272 tags[i][0] = 1; // edge dof
273 tags[i][1] = 0; // edge id
274 tags[i][2] = i; // local dof id
275 tags[i][3] = card; // total number of dofs in this edge
276 }
277
278 OrdinalTypeArray1DHost tagView(&tags[0][0], card*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
293 template<typename DT, typename OT, typename PT>
294 void
295 Basis_HVOL_LINE_Cn_FEM<DT,OT,PT>::getScratchSpaceSize(
296 ordinal_type& perTeamSpaceSize,
297 ordinal_type& perThreadSpaceSize,
298 const PointViewType inputPoints,
299 const EOperator operatorType) const {
300 perTeamSpaceSize = 0;
301 perThreadSpaceSize = this->vinv_.extent(0)*get_dimension_scalar(inputPoints)*sizeof(typename BasisBase::scalarType);
302 }
303
304 template<typename DT, typename OT, typename PT>
305 KOKKOS_INLINE_FUNCTION
306 void
307 Basis_HVOL_LINE_Cn_FEM<DT,OT,PT>::getValues(
308 OutputViewType outputValues,
309 const PointViewType inputPoints,
310 const EOperator operatorType,
311 const typename Kokkos::TeamPolicy<typename DT::execution_space>::member_type& team_member,
312 const typename DT::execution_space::scratch_memory_space & scratchStorage,
313 const ordinal_type subcellDim,
314 const ordinal_type subcellOrdinal) const {
315
316 INTREPID2_TEST_FOR_ABORT( !((subcellDim == -1) && (subcellOrdinal == -1)),
317 ">>> ERROR: (Intrepid2::Basis_HVOL_LINE_Cn_FEM::getValues), The capability of selecting subsets of basis functions has not been implemented yet.");
318
319 const int numPoints = inputPoints.extent(0);
320 using ScalarType = typename ScalarTraits<typename PointViewType::value_type>::scalar_type;
321 using WorkViewType = Kokkos::DynRankView< ScalarType,typename DT::execution_space::scratch_memory_space,Kokkos::MemoryTraits<Kokkos::Unmanaged> >;
322 ordinal_type sizePerPoint = this->vinv_.extent(0)*get_dimension_scalar(inputPoints);
323 WorkViewType workView(scratchStorage, sizePerPoint*team_member.team_size());
324 using range_type = Kokkos::pair<ordinal_type,ordinal_type>;
325
326 switch(operatorType) {
327 case OPERATOR_VALUE:
328 Kokkos::parallel_for (Kokkos::TeamThreadRange (team_member, numPoints), [=, &vinv_ = this->vinv_] (ordinal_type& pt) {
329 auto output = Kokkos::subview( outputValues, Kokkos::ALL(), range_type (pt,pt+1), Kokkos::ALL() );
330 const auto input = Kokkos::subview( inputPoints, range_type(pt, pt+1), Kokkos::ALL() );
331 WorkViewType work(workView.data() + sizePerPoint*team_member.team_rank(), sizePerPoint);
332 Impl::Basis_HVOL_LINE_Cn_FEM::Serial<OPERATOR_VALUE>::getValues( output, input, work, vinv_ );
333 });
334 break;
335 default: {
336 INTREPID2_TEST_FOR_ABORT( true,
337 ">>> ERROR (Basis_HVOL_LINE_Cn_FEM): getValues not implemented for this operator");
338 }
339 }
340 }
341
342}// namespace Intrepid2
343
344#endif
Intrepid2::getOperatorOrder
KOKKOS_INLINE_FUNCTION ordinal_type getOperatorOrder(const EOperator operatorType)
Returns order of an operator.
Definition Intrepid2_BasisDef.hpp:161
Intrepid2::isValidPointType
KOKKOS_FORCEINLINE_FUNCTION bool isValidPointType(const EPointType pointType)
Verifies validity of a point type enum.
Definition Intrepid2_Types.hpp:427
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::Basis_HVOL_LINE_Cn_FEM
Basis_HVOL_LINE_Cn_FEM(const ordinal_type order, const EPointType pointType=POINTTYPE_EQUISPACED)
Constructor.
Definition Intrepid2_HVOL_LINE_Cn_FEMDef.hpp:164
Intrepid2::Basis_HVOL_LINE_Cn_FEM::getScratchSpaceSize
virtual void getScratchSpaceSize(ordinal_type &perTeamSpaceSize, ordinal_type &perThreadSpaceSize, const PointViewType inputPointsconst, 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_LINE_Cn_FEMDef.hpp:295
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::getGaussPoints
static void getGaussPoints(Kokkos::DynRankView< pointValueType, pointProperties... > points, const ordinal_type order)
Definition Intrepid2_PointToolsDef.hpp:158
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_LINE_Cn_FEM::Serial
See Intrepid2::Basis_HVOL_LINE_Cn_FEM.
Definition Intrepid2_HVOL_LINE_Cn_FEM.hpp:53
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