Intrepid2
Intrepid2_HVOL_HEX_Cn_FEMDef.hpp
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48 #ifndef __INTREPID2_HVOL_HEX_CN_FEMDEF_HPP__
49 #define __INTREPID2_HVOL_HEX_CN_FEMDEF_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_HEX_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  const auto input_z = Kokkos::subview(input, Kokkos::ALL(), range_type(2,3));
78 
79  const ordinal_type dim_s = get_dimension_scalar(work);
80  auto ptr0 = work.data();
81  auto ptr1 = work.data()+cardLine*npts*dim_s;
82  auto ptr2 = work.data()+2*cardLine*npts*dim_s;
83  auto ptr3 = work.data()+3*cardLine*npts*dim_s;
84 
85  typedef typename Kokkos::DynRankView<typename workViewType::value_type, typename workViewType::memory_space> viewType;
86  auto vcprop = Kokkos::common_view_alloc_prop(work);
87 
88  switch (opType) {
89  case OPERATOR_VALUE: {
90  viewType work_line(Kokkos::view_wrap(ptr0, vcprop), cardLine, npts);
91  viewType output_x(Kokkos::view_wrap(ptr1, vcprop), cardLine, npts);
92  viewType output_y(Kokkos::view_wrap(ptr2, vcprop), cardLine, npts);
93  viewType output_z(Kokkos::view_wrap(ptr3, vcprop), cardLine, npts);
94 
95  Impl::Basis_HVOL_LINE_Cn_FEM::Serial<OPERATOR_VALUE>::
96  getValues(output_x, input_x, work_line, vinv);
97 
98  Impl::Basis_HVOL_LINE_Cn_FEM::Serial<OPERATOR_VALUE>::
99  getValues(output_y, input_y, work_line, vinv);
100 
101  Impl::Basis_HVOL_LINE_Cn_FEM::Serial<OPERATOR_VALUE>::
102  getValues(output_z, input_z, work_line, vinv);
103 
104  // tensor product
105  ordinal_type idx = 0;
106  for (ordinal_type k=0;k<cardLine;++k) // z
107  for (ordinal_type j=0;j<cardLine;++j) // y
108  for (ordinal_type i=0;i<cardLine;++i,++idx) // x
109  for (ordinal_type l=0;l<npts;++l)
110  output.access(idx,l) = output_x.access(i,l)*output_y.access(j,l)*output_z.access(k,l);
111  break;
112  }
113  case OPERATOR_GRAD:
114  case OPERATOR_D1:
115  case OPERATOR_D2:
116  case OPERATOR_D3:
117  case OPERATOR_D4:
118  case OPERATOR_D5:
119  case OPERATOR_D6:
120  case OPERATOR_D7:
121  case OPERATOR_D8:
122  case OPERATOR_D9:
123  case OPERATOR_D10:
124  opDn = getOperatorOrder(opType);
125  case OPERATOR_Dn: {
126  const ordinal_type dkcard = opDn + 1;
127 
128  ordinal_type d = 0;
129  for (ordinal_type l1=0;l1<dkcard;++l1)
130  for (ordinal_type l0=0;l0<(l1+1);++l0) {
131  const ordinal_type mult_x = (opDn - l1);
132  const ordinal_type mult_y = l1 - l0;
133  const ordinal_type mult_z = l0;
134 
135  //std::cout << " l0, l1 = " << l0 << " " << l1 << std::endl;
136  //std::cout << " x , y , z = " << mult_x << " " << mult_y << " " << mult_z << std::endl;
137 
138  if (mult_x < 0) {
139  // pass
140  } else {
141  viewType work_line(Kokkos::view_wrap(ptr0, vcprop), cardLine, npts);
142  decltype(work_line) output_x, output_y, output_z;
143 
144  if (mult_x) {
145  output_x = viewType(Kokkos::view_wrap(ptr1, vcprop), cardLine, npts, 1);
146  Impl::Basis_HVOL_LINE_Cn_FEM::Serial<OPERATOR_Dn>::
147  getValues(output_x, input_x, work_line, vinv, mult_x);
148  } else {
149  output_x = viewType(Kokkos::view_wrap(ptr1, vcprop), cardLine, npts);
150  Impl::Basis_HVOL_LINE_Cn_FEM::Serial<OPERATOR_VALUE>::
151  getValues(output_x, input_x, work_line, vinv);
152  }
153 
154  if (mult_y) {
155  output_y = viewType(Kokkos::view_wrap(ptr2, vcprop), cardLine, npts, 1);
156  Impl::Basis_HVOL_LINE_Cn_FEM::Serial<OPERATOR_Dn>::
157  getValues(output_y, input_y, work_line, vinv, mult_y);
158  } else {
159  output_y = viewType(Kokkos::view_wrap(ptr2, vcprop), cardLine, npts);
160  Impl::Basis_HVOL_LINE_Cn_FEM::Serial<OPERATOR_VALUE>::
161  getValues(output_y, input_y, work_line, vinv);
162  }
163 
164  if (mult_z) {
165  output_z = viewType(Kokkos::view_wrap(ptr3, vcprop), cardLine, npts, 1);
166  Impl::Basis_HVOL_LINE_Cn_FEM::Serial<OPERATOR_Dn>::
167  getValues(output_z, input_z, work_line, vinv, mult_z);
168  } else {
169  output_z = viewType(Kokkos::view_wrap(ptr3, vcprop), cardLine, npts);
170  Impl::Basis_HVOL_LINE_Cn_FEM::Serial<OPERATOR_VALUE>::
171  getValues(output_z, input_z, work_line, vinv);
172  }
173 
174  // tensor product (extra dimension of ouput x,y and z are ignored)
175  ordinal_type idx = 0;
176  for (ordinal_type k=0;k<cardLine;++k) // z
177  for (ordinal_type j=0;j<cardLine;++j) // y
178  for (ordinal_type i=0;i<cardLine;++i,++idx) // x
179  for (ordinal_type l=0;l<npts;++l)
180  output.access(idx,l,d) = output_x.access(i,l,0)*output_y.access(j,l,0)*output_z.access(k,l,0);
181  ++d;
182  }
183  }
184  break;
185  }
186  default: {
187  INTREPID2_TEST_FOR_ABORT( true ,
188  ">>> ERROR (Basis_HVOL_HEX_Cn_FEM): Operator type not implemented");
189  break;
190  }
191  }
192  }
193 
194  template<typename SpT, ordinal_type numPtsPerEval,
195  typename outputValueValueType, class ...outputValueProperties,
196  typename inputPointValueType, class ...inputPointProperties,
197  typename vinvValueType, class ...vinvProperties>
198  void
199  Basis_HVOL_HEX_Cn_FEM::
200  getValues( Kokkos::DynRankView<outputValueValueType,outputValueProperties...> outputValues,
201  const Kokkos::DynRankView<inputPointValueType, inputPointProperties...> inputPoints,
202  const Kokkos::DynRankView<vinvValueType, vinvProperties...> vinv,
203  const EOperator operatorType ) {
204  typedef Kokkos::DynRankView<outputValueValueType,outputValueProperties...> outputValueViewType;
205  typedef Kokkos::DynRankView<inputPointValueType, inputPointProperties...> inputPointViewType;
206  typedef Kokkos::DynRankView<vinvValueType, vinvProperties...> vinvViewType;
207  typedef typename ExecSpace<typename inputPointViewType::execution_space,SpT>::ExecSpaceType ExecSpaceType;
208 
209  // loopSize corresponds to cardinality
210  const auto loopSizeTmp1 = (inputPoints.extent(0)/numPtsPerEval);
211  const auto loopSizeTmp2 = (inputPoints.extent(0)%numPtsPerEval != 0);
212  const auto loopSize = loopSizeTmp1 + loopSizeTmp2;
213  Kokkos::RangePolicy<ExecSpaceType,Kokkos::Schedule<Kokkos::Static> > policy(0, loopSize);
214 
215  typedef typename inputPointViewType::value_type inputPointType;
216 
217  const ordinal_type cardinality = outputValues.extent(0);
218  const ordinal_type cardLine = std::cbrt(cardinality);
219  const ordinal_type workSize = 4*cardLine;
220 
221  auto vcprop = Kokkos::common_view_alloc_prop(inputPoints);
222  typedef typename Kokkos::DynRankView< inputPointType, typename inputPointViewType::memory_space> workViewType;
223  workViewType work(Kokkos::view_alloc("Basis_HVOL_HEX_Cn_FEM::getValues::work", vcprop), workSize, inputPoints.extent(0));
224 
225  switch (operatorType) {
226  case OPERATOR_VALUE: {
227  typedef Functor<outputValueViewType,inputPointViewType,vinvViewType,workViewType,
228  OPERATOR_VALUE,numPtsPerEval> FunctorType;
229  Kokkos::parallel_for( policy, FunctorType(outputValues, inputPoints, vinv, work) );
230  break;
231  }
232  case OPERATOR_GRAD:
233  case OPERATOR_D1:
234  case OPERATOR_D2:
235  case OPERATOR_D3:
236  case OPERATOR_D4:
237  case OPERATOR_D5:
238  case OPERATOR_D6:
239  case OPERATOR_D7:
240  case OPERATOR_D8:
241  case OPERATOR_D9:
242  case OPERATOR_D10: {
243  typedef Functor<outputValueViewType,inputPointViewType,vinvViewType,workViewType,
244  OPERATOR_Dn,numPtsPerEval> FunctorType;
245  Kokkos::parallel_for( policy, FunctorType(outputValues, inputPoints, vinv, work,
246  getOperatorOrder(operatorType)) );
247  break;
248  }
249  default: {
250  INTREPID2_TEST_FOR_EXCEPTION( true , std::invalid_argument,
251  ">>> ERROR (Basis_HVOL_HEX_Cn_FEM): Operator type not implemented" );
252  // break; commented out since exception is thrown
253  }
254  }
255  }
256  }
257 
258  // -------------------------------------------------------------------------------------
259  template<typename SpT, typename OT, typename PT>
260  Basis_HVOL_HEX_Cn_FEM<SpT,OT,PT>::
261  Basis_HVOL_HEX_Cn_FEM( const ordinal_type order,
262  const EPointType pointType ) {
263 
264  // this should be in host
265  Basis_HVOL_LINE_Cn_FEM<SpT,OT,PT> lineBasis( order, pointType );
266  const auto cardLine = lineBasis.getCardinality();
267 
268  this->vinv_ = Kokkos::DynRankView<typename scalarViewType::value_type,SpT>("HVOL::HEX::Cn::vinv", cardLine, cardLine);
269  lineBasis.getVandermondeInverse(this->vinv_);
270 
271  this->basisCardinality_ = cardLine*cardLine*cardLine;
272  this->basisDegree_ = order;
273  this->basisCellTopology_ = shards::CellTopology(shards::getCellTopologyData<shards::Hexahedron<8> >() );
274  this->basisType_ = BASIS_FEM_FIAT;
275  this->basisCoordinates_ = COORDINATES_CARTESIAN;
276 
277  // initialize tags
278  {
279  // Basis-dependent initializations
280  const ordinal_type tagSize = 4; // size of DoF tag, i.e., number of fields in the tag
281  const ordinal_type posScDim = 0; // position in the tag, counting from 0, of the subcell dim
282  const ordinal_type posScOrd = 1; // position in the tag, counting from 0, of the subcell ordinal
283  const ordinal_type posDfOrd = 2; // position in the tag, counting from 0, of DoF ordinal relative to the subcell
284 
285  // An array with local DoF tags assigned to the basis functions, in the order of their local enumeration
286  constexpr ordinal_type maxCardLine = Parameters::MaxOrder + 1;
287  ordinal_type tags[maxCardLine*maxCardLine*maxCardLine][4];
288 
289  {
290  ordinal_type idx = 0;
291  for (auto k=0;k<cardLine;++k) { // z
292  const auto tag_z = lineBasis.getDofTag(k);
293  for (ordinal_type j=0;j<cardLine;++j) { // y
294  const auto tag_y = lineBasis.getDofTag(j);
295  for (ordinal_type i=0;i<cardLine;++i,++idx) { // x
296  const auto tag_x = lineBasis.getDofTag(i);
297 
298  // interior
299  tags[idx][0] = 3; // interior dof
300  tags[idx][1] = 0;
301  tags[idx][2] = tag_x(2) + tag_x(3)*tag_y(2) + tag_x(3)*tag_y(3)*tag_z(2); // local dof id
302  tags[idx][3] = tag_x(3)*tag_y(3)*tag_z(3); // total number of dofs in this vertex
303  }
304  }
305  }
306  }
307 
308  ordinal_type_array_1d_host tagView(&tags[0][0], this->basisCardinality_*4);
309 
310  // Basis-independent function sets tag and enum data in tagToOrdinal_ and ordinalToTag_ arrays:
311  // tags are constructed on host
312  this->setOrdinalTagData(this->tagToOrdinal_,
313  this->ordinalToTag_,
314  tagView,
315  this->basisCardinality_,
316  tagSize,
317  posScDim,
318  posScOrd,
319  posDfOrd);
320  }
321 
322  // dofCoords on host and create its mirror view to device
323  Kokkos::DynRankView<typename scalarViewType::value_type,typename SpT::array_layout,Kokkos::HostSpace>
324  dofCoordsHost("dofCoordsHost", this->basisCardinality_, this->basisCellTopology_.getDimension());
325 
326  Kokkos::DynRankView<typename scalarViewType::value_type,SpT>
327  dofCoordsLine("dofCoordsLine", cardLine, 1);
328 
329  lineBasis.getDofCoords(dofCoordsLine);
330  auto dofCoordsLineHost = Kokkos::create_mirror_view(Kokkos::HostSpace(), dofCoordsLine);
331  Kokkos::deep_copy(dofCoordsLineHost, dofCoordsLine);
332  {
333  ordinal_type idx = 0;
334  for (auto k=0;k<cardLine;++k) { // z
335  for (ordinal_type j=0;j<cardLine;++j) { // y
336  for (ordinal_type i=0;i<cardLine;++i,++idx) { // x
337  dofCoordsHost(idx,0) = dofCoordsLineHost(i,0);
338  dofCoordsHost(idx,1) = dofCoordsLineHost(j,0);
339  dofCoordsHost(idx,2) = dofCoordsLineHost(k,0);
340  }
341  }
342  }
343 
344  }
345 
346  this->dofCoords_ = Kokkos::create_mirror_view(typename SpT::memory_space(), dofCoordsHost);
347  Kokkos::deep_copy(this->dofCoords_, dofCoordsHost);
348  }
349 
350 }// namespace Intrepid2
351 
352 #endif
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_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:261
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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