Intrepid2
Intrepid2_HVOL_QUAD_Cn_FEMDef.hpp
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48 #ifndef __INTREPID2_HVOL_QUAD_CN_FEM_DEF_HPP__
49 #define __INTREPID2_HVOL_QUAD_CN_FEM_DEF_HPP__
50 
51 namespace 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_QUAD_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 cardLine = vinv.extent(0);
72  const ordinal_type npts = input.extent(0);
73 
74  typedef Kokkos::pair<ordinal_type,ordinal_type> range_type;
75  const auto input_x = Kokkos::subview(input, Kokkos::ALL(), range_type(0,1));
76  const auto input_y = Kokkos::subview(input, Kokkos::ALL(), range_type(1,2));
77 
78  const int dim_s = get_dimension_scalar(work);
79  auto ptr0 = work.data();
80  auto ptr1 = work.data()+cardLine*npts*dim_s;
81  auto ptr2 = work.data()+2*cardLine*npts*dim_s;
82 
83  typedef typename Kokkos::DynRankView<typename workViewType::value_type, typename workViewType::memory_space> viewType;
84  auto vcprop = Kokkos::common_view_alloc_prop(work);
85 
86  switch (opType) {
87  case OPERATOR_VALUE: {
88  viewType work_line(Kokkos::view_wrap(ptr0, vcprop), cardLine, npts);
89  viewType output_x(Kokkos::view_wrap(ptr1, vcprop), cardLine, npts);
90  viewType output_y(Kokkos::view_wrap(ptr2, vcprop), cardLine, npts);
91 
92  Impl::Basis_HVOL_LINE_Cn_FEM::Serial<OPERATOR_VALUE>::
93  getValues(output_x, input_x, work_line, vinv);
94 
95  Impl::Basis_HVOL_LINE_Cn_FEM::Serial<OPERATOR_VALUE>::
96  getValues(output_y, input_y, work_line, vinv);
97 
98  // tensor product
99  ordinal_type idx = 0;
100  for (ordinal_type j=0;j<cardLine;++j) // y
101  for (ordinal_type i=0;i<cardLine;++i,++idx) // x
102  for (ordinal_type k=0;k<npts;++k)
103  output.access(idx,k) = output_x.access(i,k)*output_y.access(j,k);
104  break;
105  }
106  case OPERATOR_GRAD:
107  case OPERATOR_D1:
108  case OPERATOR_D2:
109  case OPERATOR_D3:
110  case OPERATOR_D4:
111  case OPERATOR_D5:
112  case OPERATOR_D6:
113  case OPERATOR_D7:
114  case OPERATOR_D8:
115  case OPERATOR_D9:
116  case OPERATOR_D10:
117  opDn = getOperatorOrder(opType);
118  case OPERATOR_Dn: {
119  const auto dkcard = opDn + 1;
120  for (auto l=0;l<dkcard;++l) {
121  viewType work_line(Kokkos::view_wrap(ptr0, vcprop), cardLine, npts);
122 
123  viewType output_x, output_y;
124 
125  const auto mult_x = opDn - l;
126  const auto mult_y = l;
127 
128  if (mult_x) {
129  output_x = viewType(Kokkos::view_wrap(ptr1, vcprop), cardLine, npts, 1);
130  Impl::Basis_HVOL_LINE_Cn_FEM::Serial<OPERATOR_Dn>::
131  getValues(output_x, input_x, work_line, vinv, mult_x);
132  } else {
133  output_x = viewType(Kokkos::view_wrap(ptr1, vcprop), cardLine, npts);
134  Impl::Basis_HVOL_LINE_Cn_FEM::Serial<OPERATOR_VALUE>::
135  getValues(output_x, input_x, work_line, vinv);
136  }
137 
138  if (mult_y) {
139  output_y = viewType(Kokkos::view_wrap(ptr2, vcprop), cardLine, npts, 1);
140  Impl::Basis_HVOL_LINE_Cn_FEM::Serial<OPERATOR_Dn>::
141  getValues(output_y, input_y, work_line, vinv, mult_y);
142  } else {
143  output_y = viewType(Kokkos::view_wrap(ptr2, vcprop), cardLine, npts);
144  Impl::Basis_HVOL_LINE_Cn_FEM::Serial<OPERATOR_VALUE>::
145  getValues(output_y, input_y, work_line, vinv);
146  }
147 
148  // tensor product (extra dimension of ouput x and y are ignored)
149  ordinal_type idx = 0;
150  for (ordinal_type j=0;j<cardLine;++j) // y
151  for (ordinal_type i=0;i<cardLine;++i,++idx) // x
152  for (ordinal_type k=0;k<npts;++k)
153  output.access(idx,k,l) = output_x.access(i,k,0)*output_y.access(j,k,0);
154  }
155  break;
156  }
157  default: {
158  INTREPID2_TEST_FOR_ABORT( true,
159  ">>> ERROR: (Intrepid2::Basis_HVOL_QUAD_Cn_FEM::Serial::getValues) operator is not supported" );
160  }
161  }
162  }
163 
164  template<typename SpT, ordinal_type numPtsPerEval,
165  typename outputValueValueType, class ...outputValueProperties,
166  typename inputPointValueType, class ...inputPointProperties,
167  typename vinvValueType, class ...vinvProperties>
168  void
169  Basis_HVOL_QUAD_Cn_FEM::
170  getValues( Kokkos::DynRankView<outputValueValueType,outputValueProperties...> outputValues,
171  const Kokkos::DynRankView<inputPointValueType, inputPointProperties...> inputPoints,
172  const Kokkos::DynRankView<vinvValueType, vinvProperties...> vinv,
173  const EOperator operatorType ) {
174  typedef Kokkos::DynRankView<outputValueValueType,outputValueProperties...> outputValueViewType;
175  typedef Kokkos::DynRankView<inputPointValueType, inputPointProperties...> inputPointViewType;
176  typedef Kokkos::DynRankView<vinvValueType, vinvProperties...> vinvViewType;
177  typedef typename ExecSpace<typename inputPointViewType::execution_space,SpT>::ExecSpaceType ExecSpaceType;
178 
179  // loopSize corresponds to cardinality
180  const auto loopSizeTmp1 = (inputPoints.extent(0)/numPtsPerEval);
181  const auto loopSizeTmp2 = (inputPoints.extent(0)%numPtsPerEval != 0);
182  const auto loopSize = loopSizeTmp1 + loopSizeTmp2;
183  Kokkos::RangePolicy<ExecSpaceType,Kokkos::Schedule<Kokkos::Static> > policy(0, loopSize);
184 
185  typedef typename inputPointViewType::value_type inputPointType;
186 
187  const ordinal_type cardinality = outputValues.extent(0);
188  const ordinal_type cardLine = std::sqrt(cardinality);
189  const ordinal_type workSize = 3*cardLine;
190 
191  auto vcprop = Kokkos::common_view_alloc_prop(inputPoints);
192  typedef typename Kokkos::DynRankView< inputPointType, typename inputPointViewType::memory_space> workViewType;
193  workViewType work(Kokkos::view_alloc("Basis_HVOL_QUAD_Cn_FEM::getValues::work", vcprop), workSize, inputPoints.extent(0));
194 
195  switch (operatorType) {
196  case OPERATOR_VALUE: {
197  typedef Functor<outputValueViewType,inputPointViewType,vinvViewType,workViewType,
198  OPERATOR_VALUE,numPtsPerEval> FunctorType;
199  Kokkos::parallel_for( policy, FunctorType(outputValues, inputPoints, vinv, work) );
200  break;
201  }
202  case OPERATOR_GRAD:
203  case OPERATOR_D1:
204  case OPERATOR_D2:
205  case OPERATOR_D3:
206  case OPERATOR_D4:
207  case OPERATOR_D5:
208  case OPERATOR_D6:
209  case OPERATOR_D7:
210  case OPERATOR_D8:
211  case OPERATOR_D9:
212  case OPERATOR_D10: {
213  typedef Functor<outputValueViewType,inputPointViewType,vinvViewType,workViewType,
214  OPERATOR_Dn,numPtsPerEval> FunctorType;
215  Kokkos::parallel_for( policy, FunctorType(outputValues, inputPoints, vinv, work,
216  getOperatorOrder(operatorType)) );
217  break;
218  }
219  default: {
220  INTREPID2_TEST_FOR_EXCEPTION( true , std::invalid_argument,
221  ">>> ERROR (Basis_HVOL_QUAD_Cn_FEM): Operator type not implemented" );
222  // break;commented out because exception
223  }
224  }
225  }
226  }
227 
228  // -------------------------------------------------------------------------------------
229  template<typename SpT, typename OT, typename PT>
230  Basis_HVOL_QUAD_Cn_FEM<SpT,OT,PT>::
231  Basis_HVOL_QUAD_Cn_FEM( const ordinal_type order,
232  const EPointType pointType ) {
233  // INTREPID2_TEST_FOR_EXCEPTION( !(pointType == POINTTYPE_EQUISPACED ||
234  // pointType == POINTTYPE_WARPBLEND), std::invalid_argument,
235  // ">>> ERROR (Basis_HVOL_QUAD_Cn_FEM): pointType must be either equispaced or warpblend." );
236 
237  // this should be in host
238  Basis_HVOL_LINE_Cn_FEM<SpT,OT,PT> lineBasis( order, pointType );
239  const auto cardLine = lineBasis.getCardinality();
240 
241  this->vinv_ = Kokkos::DynRankView<typename scalarViewType::value_type,SpT>("HVOL::Quad::Cn::vinv", cardLine, cardLine);
242  lineBasis.getVandermondeInverse(this->vinv_);
243 
244  this->basisCardinality_ = cardLine*cardLine;
245  this->basisDegree_ = order;
246  this->basisCellTopology_ = shards::CellTopology(shards::getCellTopologyData<shards::Quadrilateral<4> >() );
247  this->basisType_ = BASIS_FEM_FIAT;
248  this->basisCoordinates_ = COORDINATES_CARTESIAN;
249 
250  // initialize tags
251  {
252  // Basis-dependent initializations
253  const ordinal_type tagSize = 4; // size of DoF tag, i.e., number of fields in the tag
254  const ordinal_type posScDim = 0; // position in the tag, counting from 0, of the subcell dim
255  const ordinal_type posScOrd = 1; // position in the tag, counting from 0, of the subcell ordinal
256  const ordinal_type posDfOrd = 2; // position in the tag, counting from 0, of DoF ordinal relative to the subcell
257 
258  // An array with local DoF tags assigned to the basis functions, in the order of their local enumeration
259  constexpr ordinal_type maxCardLine = Parameters::MaxOrder + 1;
260  ordinal_type tags[maxCardLine*maxCardLine][4];
261 
262  {
263  ordinal_type idx = 0;
264  for (ordinal_type j=0;j<cardLine;++j) { // y
265  const auto tag_y = lineBasis.getDofTag(j);
266  for (ordinal_type i=0;i<cardLine;++i,++idx) { // x
267  const auto tag_x = lineBasis.getDofTag(i);
268 
269  // interior
270  tags[idx][0] = 2; // interior dof
271  tags[idx][1] = 0;
272  tags[idx][2] = tag_x(2) + tag_x(3)*tag_y(2); // local dof id
273  tags[idx][3] = tag_x(3)*tag_y(3); // total number of dofs in this vertex
274  }
275  }
276  }
277 
278  ordinal_type_array_1d_host 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 SpT::array_layout,Kokkos::HostSpace>
294  dofCoordsHost("dofCoordsHost", this->basisCardinality_, this->basisCellTopology_.getDimension());
295 
296  Kokkos::DynRankView<typename scalarViewType::value_type,SpT>
297  dofCoordsLine("dofCoordsLine", cardLine, 1);
298 
299  lineBasis.getDofCoords(dofCoordsLine);
300  auto dofCoordsLineHost = Kokkos::create_mirror_view(dofCoordsLine);
301  Kokkos::deep_copy(dofCoordsLineHost, dofCoordsLine);
302  {
303  ordinal_type idx = 0;
304  for (ordinal_type j=0;j<cardLine;++j) { // y
305  for (ordinal_type i=0;i<cardLine;++i,++idx) { // x
306  dofCoordsHost(idx,0) = dofCoordsLineHost(i,0);
307  dofCoordsHost(idx,1) = dofCoordsLineHost(j,0);
308  }
309  }
310  }
311 
312  this->dofCoords_ = Kokkos::create_mirror_view(typename SpT::memory_space(), dofCoordsHost);
313  Kokkos::deep_copy(this->dofCoords_, dofCoordsHost);
314  }
315 
316 }
317 
318 #endif
Intrepid2::Basis_HVOL_QUAD_Cn_FEM::Basis_HVOL_QUAD_Cn_FEM
Basis_HVOL_QUAD_Cn_FEM(const ordinal_type order, const EPointType pointType=POINTTYPE_EQUISPACED)
Constructor.
Definition: Intrepid2_HVOL_QUAD_Cn_FEMDef.hpp:231
Intrepid2::Basis::getCardinality
ordinal_type getCardinality() const
Returns cardinality of the basis.
Definition: Intrepid2_Basis.hpp:411
Intrepid2::Basis::ordinal_type_array_1d_host
Kokkos::View< ordinal_type *,typename ExecSpaceType::array_layout, Kokkos::HostSpace > ordinal_type_array_1d_host
View type for 1d host array.
Definition: Intrepid2_Basis.hpp:113
Intrepid2::Basis::getDofTag
const ordinal_type_array_stride_1d_host getDofTag(const ordinal_type dofOrd) const
DoF ordinal to DoF tag lookup.
Definition: Intrepid2_Basis.hpp:532
Intrepid2::Basis_HVOL_LINE_Cn_FEM
Implementation of the locally HVOL-compatible FEM basis of variable order on the [-1,1] reference line cell, using Lagrange polynomials.
Definition: Intrepid2_HVOL_LINE_Cn_FEM.hpp:177
Intrepid2::Basis_HVOL_LINE_Cn_FEM::getDofCoords
virtual void getDofCoords(scalarViewType dofCoords) const
Returns spatial locations (coordinates) of degrees of freedom on the reference cell.
Definition: Intrepid2_HVOL_LINE_Cn_FEM.hpp:217
Intrepid2::Parameters::MaxOrder
static constexpr ordinal_type MaxOrder
The maximum reconstruction order.
Definition: Intrepid2_Types.hpp:123
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