Intrepid2
Intrepid2_HVOL_LINE_Cn_FEMDef.hpp
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48#ifndef __INTREPID2_HVOL_LINE_CN_FEM_DEF_HPP__
49#define __INTREPID2_HVOL_LINE_CN_FEM_DEF_HPP__
50
51namespace Intrepid2 {
52
53 // -------------------------------------------------------------------------------------
54 namespace Impl {
55
56 template<EOperator opType>
57 template<typename OutputViewType,
58 typename inputViewType,
59 typename workViewType,
60 typename vinvViewType>
61 KOKKOS_INLINE_FUNCTION
62 void
63 Basis_HVOL_LINE_Cn_FEM::Serial<opType>::
64 getValues( OutputViewType output,
65 const inputViewType input,
66 workViewType work,
67 const vinvViewType vinv,
68 const ordinal_type operatorDn ) {
69 ordinal_type opDn = operatorDn;
70
71 const ordinal_type card = vinv.extent(0);
72 const ordinal_type npts = input.extent(0);
73
74 const ordinal_type order = card - 1;
75 const double alpha = 0.0, beta = 0.0;
76
77 typedef typename Kokkos::DynRankView<typename workViewType::value_type, typename workViewType::memory_space> viewType;
78 auto vcprop = Kokkos::common_view_alloc_prop(work);
79
80 switch (opType) {
81 case OPERATOR_VALUE: {
82 viewType phis(Kokkos::view_wrap(work.data(), vcprop), card, npts);
83
84 Impl::Basis_HGRAD_LINE_Cn_FEM_JACOBI::
85 Serial<opType>::getValues(phis, input, order, alpha, beta);
86
87 for (ordinal_type i=0;i<card;++i)
88 for (ordinal_type j=0;j<npts;++j) {
89 output.access(i,j) = 0.0;
90 for (ordinal_type k=0;k<card;++k)
91 output.access(i,j) += vinv(k,i)*phis.access(k,j);
92 }
93 break;
94 }
95 case OPERATOR_GRAD:
96 case OPERATOR_D1:
97 case OPERATOR_D2:
98 case OPERATOR_D3:
99 case OPERATOR_D4:
100 case OPERATOR_D5:
101 case OPERATOR_D6:
102 case OPERATOR_D7:
103 case OPERATOR_D8:
104 case OPERATOR_D9:
105 case OPERATOR_D10:
106 opDn = getOperatorOrder(opType);
107 case OPERATOR_Dn: {
108 // dkcard is always 1 for 1D element
109 const ordinal_type dkcard = 1;
110 viewType phis(Kokkos::view_wrap(work.data(), vcprop), card, npts, dkcard);
111 Impl::Basis_HGRAD_LINE_Cn_FEM_JACOBI::
112 Serial<opType>::getValues(phis, input, order, alpha, beta, opDn);
113
114 for (ordinal_type i=0;i<card;++i)
115 for (ordinal_type j=0;j<npts;++j)
116 for (ordinal_type k=0;k<dkcard;++k) {
117 output.access(i,j,k) = 0.0;
118 for (ordinal_type l=0;l<card;++l)
119 output.access(i,j,k) += vinv(l,i)*phis.access(l,j,k);
120 }
121 break;
122 }
123 default: {
124 INTREPID2_TEST_FOR_ABORT( true,
125 ">>> ERROR: (Intrepid2::Basis_HVOL_LINE_Cn_FEM::Serial::getValues) operator is not supported." );
126 }
127 }
128 }
129
130
131 template<typename DT, ordinal_type numPtsPerEval,
132 typename outputValueValueType, class ...outputValueProperties,
133 typename inputPointValueType, class ...inputPointProperties,
134 typename vinvValueType, class ...vinvProperties>
135 void
136 Basis_HVOL_LINE_Cn_FEM::
137 getValues( Kokkos::DynRankView<outputValueValueType,outputValueProperties...> outputValues,
138 const Kokkos::DynRankView<inputPointValueType, inputPointProperties...> inputPoints,
139 const Kokkos::DynRankView<vinvValueType, vinvProperties...> vinv,
140 const EOperator operatorType ) {
141 typedef Kokkos::DynRankView<outputValueValueType,outputValueProperties...> outputValueViewType;
142 typedef Kokkos::DynRankView<inputPointValueType, inputPointProperties...> inputPointViewType;
143 typedef Kokkos::DynRankView<vinvValueType, vinvProperties...> vinvViewType;
144 typedef typename ExecSpace<typename inputPointViewType::execution_space,typename DT::execution_space>::ExecSpaceType ExecSpaceType;
145
146 // loopSize corresponds to cardinality
147 const auto loopSizeTmp1 = (inputPoints.extent(0)/numPtsPerEval);
148 const auto loopSizeTmp2 = (inputPoints.extent(0)%numPtsPerEval != 0);
149 const auto loopSize = loopSizeTmp1 + loopSizeTmp2;
150 Kokkos::RangePolicy<ExecSpaceType,Kokkos::Schedule<Kokkos::Static> > policy(0, loopSize);
151
152 typedef typename inputPointViewType::value_type inputPointType;
153
154 const ordinal_type cardinality = outputValues.extent(0);
155
156 auto vcprop = Kokkos::common_view_alloc_prop(inputPoints);
157 typedef typename Kokkos::DynRankView< inputPointType, typename inputPointViewType::memory_space> workViewType;
158 workViewType work(Kokkos::view_alloc("Basis_HVOL_LINE_Cn_FEM::getValues::work", vcprop), cardinality, inputPoints.extent(0));
159
160 switch (operatorType) {
161 case OPERATOR_VALUE: {
162 typedef Functor<outputValueViewType,inputPointViewType,vinvViewType,workViewType,
163 OPERATOR_VALUE,numPtsPerEval> FunctorType;
164 Kokkos::parallel_for( policy, FunctorType(outputValues, inputPoints, vinv, work) );
165 break;
166 }
167 case OPERATOR_GRAD:
168 case OPERATOR_D1:
169 case OPERATOR_D2:
170 case OPERATOR_D3:
171 case OPERATOR_D4:
172 case OPERATOR_D5:
173 case OPERATOR_D6:
174 case OPERATOR_D7:
175 case OPERATOR_D8:
176 case OPERATOR_D9:
177 case OPERATOR_D10: {
178 typedef Functor<outputValueViewType,inputPointViewType,vinvViewType,workViewType,
179 OPERATOR_Dn,numPtsPerEval> FunctorType;
180 Kokkos::parallel_for( policy, FunctorType(outputValues, inputPoints, vinv, work,
181 getOperatorOrder(operatorType)) );
182 break;
183 }
184 default: {
185 INTREPID2_TEST_FOR_EXCEPTION( true , std::invalid_argument,
186 ">>> ERROR (Basis_HVOL_LINE_Cn_FEM): Operator type not implemented" );
187 //break; commented out because this always throws
188 }
189 }
190 }
191 }
192
193 // -------------------------------------------------------------------------------------
194
195 template<typename DT, typename OT, typename PT>
197 Basis_HVOL_LINE_Cn_FEM( const ordinal_type order,
198 const EPointType pointType ) {
199 this->pointType_ = pointType;
200 this->basisCardinality_ = order+1;
201 this->basisDegree_ = order;
202 this->basisCellTopology_ = shards::CellTopology(shards::getCellTopologyData<shards::Line<2> >() );
203 this->basisType_ = BASIS_FEM_LAGRANGIAN;
204 this->basisCoordinates_ = COORDINATES_CARTESIAN;
205 this->functionSpace_ = FUNCTION_SPACE_HVOL;
206
207 const ordinal_type card = this->basisCardinality_;
208
209 // points are computed in the host and will be copied
210 Kokkos::DynRankView<typename ScalarViewType::value_type,typename DT::execution_space::array_layout,Kokkos::HostSpace>
211 dofCoords("HVOL::Line::Cn::dofCoords", card, 1);
212
213 //Default is Equispaced
214 auto pointT = (pointType == POINTTYPE_DEFAULT) ? POINTTYPE_EQUISPACED : pointType;
215
216 switch (pointT) {
217 case POINTTYPE_EQUISPACED:
218 case POINTTYPE_WARPBLEND: {
219 // lattice ordering
220 {
221 const ordinal_type offset = 1;
222 PointTools::getLattice( dofCoords,
223 this->basisCellTopology_,
224 order+1+offset, offset,
225 pointT );
226
227 }
228 break;
229 }
230 case POINTTYPE_GAUSS: {
231 // internal points only
232 PointTools::getGaussPoints( dofCoords,
233 order );
234 break;
235 }
236 default: {
237 INTREPID2_TEST_FOR_EXCEPTION( !isValidPointType(pointT),
238 std::invalid_argument ,
239 ">>> ERROR: (Intrepid2::Basis_HVOL_LINE_Cn_FEM) invalid pointType." );
240 }
241 }
242
243 this->dofCoords_ = Kokkos::create_mirror_view(typename DT::memory_space(), dofCoords);
244 Kokkos::deep_copy(this->dofCoords_, dofCoords);
245
246 // form Vandermonde matrix; actually, this is the transpose of the VDM,
247 // this matrix is used in LAPACK so it should be column major and left layout
248 const ordinal_type lwork = card*card;
249 Kokkos::DynRankView<typename ScalarViewType::value_type,Kokkos::LayoutLeft,Kokkos::HostSpace>
250 vmat("HVOL::Line::Cn::vmat", card, card),
251 work("HVOL::Line::Cn::work", lwork),
252 ipiv("HVOL::Line::Cn::ipiv", card);
253
254 const double alpha = 0.0, beta = 0.0;
255 Impl::Basis_HGRAD_LINE_Cn_FEM_JACOBI::
256 getValues<Kokkos::HostSpace::execution_space,Parameters::MaxNumPtsPerBasisEval>
257 (vmat, dofCoords, order, alpha, beta, OPERATOR_VALUE);
258
259 ordinal_type info = 0;
260 Teuchos::LAPACK<ordinal_type,typename ScalarViewType::value_type> lapack;
261
262 lapack.GETRF(card, card,
263 vmat.data(), vmat.stride_1(),
264 (ordinal_type*)ipiv.data(),
265 &info);
266
267 INTREPID2_TEST_FOR_EXCEPTION( info != 0,
268 std::runtime_error ,
269 ">>> ERROR: (Intrepid2::Basis_HVOL_LINE_Cn_FEM) lapack.GETRF returns nonzero info." );
270
271 lapack.GETRI(card,
272 vmat.data(), vmat.stride_1(),
273 (ordinal_type*)ipiv.data(),
274 work.data(), lwork,
275 &info);
276
277 INTREPID2_TEST_FOR_EXCEPTION( info != 0,
278 std::runtime_error ,
279 ">>> ERROR: (Intrepid2::Basis_HVOL_LINE_Cn_FEM) lapack.GETRI returns nonzero info." );
280
281 // create host mirror
282 Kokkos::DynRankView<typename ScalarViewType::value_type,typename DT::execution_space::array_layout,Kokkos::HostSpace>
283 vinv("HVOL::Line::Cn::vinv", card, card);
284
285 for (ordinal_type i=0;i<card;++i)
286 for (ordinal_type j=0;j<card;++j)
287 vinv(i,j) = vmat(j,i);
288
289 this->vinv_ = Kokkos::create_mirror_view(typename DT::memory_space(), vinv);
290 Kokkos::deep_copy(this->vinv_ , vinv);
291
292 // initialize tags
293 {
294 // Basis-dependent initializations
295 const ordinal_type tagSize = 4; // size of DoF tag, i.e., number of fields in the tag
296 const ordinal_type posScDim = 0; // position in the tag, counting from 0, of the subcell dim
297 const ordinal_type posScOrd = 1; // position in the tag, counting from 0, of the subcell ordinal
298 const ordinal_type posDfOrd = 2; // position in the tag, counting from 0, of DoF ordinal relative to the subcell
299
300
301 ordinal_type tags[Parameters::MaxOrder+1][4];
302
303 for (ordinal_type i=0;i<card;++i) {
304 tags[i][0] = 1; // edge dof
305 tags[i][1] = 0; // edge id
306 tags[i][2] = i; // local dof id
307 tags[i][3] = card; // total number of dofs in this edge
308 }
309
310 OrdinalTypeArray1DHost tagView(&tags[0][0], card*4);
311
312 // Basis-independent function sets tag and enum data in tagToOrdinal_ and ordinalToTag_ arrays:
313 // tags are constructed on host
314 this->setOrdinalTagData(this->tagToOrdinal_,
315 this->ordinalToTag_,
316 tagView,
317 this->basisCardinality_,
318 tagSize,
319 posScDim,
320 posScOrd,
321 posDfOrd);
322 }
323 }
324
325}// namespace Intrepid2
326
327#endif
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KOKKOS_INLINE_FUNCTION ordinal_type getOperatorOrder(const EOperator operatorType)
Returns order of an operator.
KOKKOS_FORCEINLINE_FUNCTION bool isValidPointType(const EPointType pointType)
Verifies validity of a point type enum.
Basis_HVOL_LINE_Cn_FEM(const ordinal_type order, const EPointType pointType=POINTTYPE_EQUISPACED)
Constructor.
static constexpr ordinal_type MaxOrder
The maximum reconstruction order.
static void getGaussPoints(Kokkos::DynRankView< pointValueType, pointProperties... > points, const ordinal_type order)
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...