Intrepid2
Intrepid2_HCURL_HEX_I1_FEMDef.hpp
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42 
49 #ifndef __INTREPID2_HCURL_HEX_I1_FEM_DEF_HPP__
50 #define __INTREPID2_HCURL_HEX_I1_FEM_DEF_HPP__
51 
52 
53 namespace Intrepid2 {
54 
55  // -------------------------------------------------------------------------------------
56  namespace Impl {
57 
58  template<EOperator opType>
59  template<typename outputViewType,
60  typename inputViewType>
61  KOKKOS_INLINE_FUNCTION
62  void
63  Basis_HCURL_HEX_I1_FEM::Serial<opType>::
64  getValues( outputViewType output,
65  const inputViewType input ) {
66 
67  switch (opType) {
68  case OPERATOR_VALUE: {
69  const auto x = input(0);
70  const auto y = input(1);
71  const auto z = input(2);
72 
73  // outputValues is a rank-3 array with dimensions (basisCardinality_, dim0, spaceDim)
74  output.access(0, 0) = (1.0 - y)*(1.0 - z)/8.0;
75  output.access(0, 1) = 0.0;
76  output.access(0, 2) = 0.0;
77 
78  output.access(1, 0) = 0.0;
79  output.access(1, 1) = (1.0 + x)*(1.0 - z)/8.0;
80  output.access(1, 2) = 0.0;
81 
82  output.access(2, 0) = -(1.0 + y)*(1.0 - z)/8.0;
83  output.access(2, 1) = 0.0;
84  output.access(2, 2) = 0.0;
85 
86  output.access(3, 0) = 0.0;
87  output.access(3, 1) = -(1.0 - x)*(1.0 - z)/8.0;
88  output.access(3, 2) = 0.0;
89 
90  output.access(4, 0) = (1.0 - y)*(1.0 + z)/8.0;
91  output.access(4, 1) = 0.0;
92  output.access(4, 2) = 0.0;
93 
94  output.access(5, 0) = 0.0;
95  output.access(5, 1) = (1.0 + x)*(1.0 + z)/8.0;
96  output.access(5, 2) = 0.0;
97 
98  output.access(6, 0) = -(1.0 + y)*(1.0 + z)/8.0;
99  output.access(6, 1) = 0.0;
100  output.access(6, 2) = 0.0;
101 
102  output.access(7, 0) = 0.0;
103  output.access(7, 1) = -(1.0 - x)*(1.0 + z)/8.0;
104  output.access(7, 2) = 0.0;
105 
106  output.access(8, 0) = 0.0;
107  output.access(8, 1) = 0.0;
108  output.access(8, 2) = (1.0 - x)*(1.0 - y)/8.0;
109 
110  output.access(9, 0) = 0.0;
111  output.access(9, 1) = 0.0;
112  output.access(9, 2) = (1.0 + x)*(1.0 - y)/8.0;
113 
114  output.access(10, 0) = 0.0;
115  output.access(10, 1) = 0.0;
116  output.access(10, 2) = (1.0 + x)*(1.0 + y)/8.0;
117 
118  output.access(11, 0) = 0.0;
119  output.access(11, 1) = 0.0;
120  output.access(11, 2) = (1.0 - x)*(1.0 + y)/8.0;
121  break;
122  }
123  case OPERATOR_CURL: {
124  const auto x = input(0);
125  const auto y = input(1);
126  const auto z = input(2);
127 
128  // outputValues is a rank-3 array with dimensions (basisCardinality_, dim0, spaceDim)
129  output.access(0, 0) = 0.0;
130  output.access(0, 1) = -(1.0 - y)/8.0;
131  output.access(0, 2) = (1.0 - z)/8.0;
132 
133  output.access(1, 0) = (1.0 + x)/8.0;
134  output.access(1, 1) = 0.0;
135  output.access(1, 2) = (1.0 - z)/8.0;
136 
137  output.access(2, 0) = 0.0;
138  output.access(2, 1) = (1.0 + y)/8.0;
139  output.access(2, 2) = (1.0 - z)/8.0;
140 
141  output.access(3, 0) = -(1.0 - x)/8.0;
142  output.access(3, 1) = 0.0;
143  output.access(3, 2) = (1.0 - z)/8.0;
144 
145  output.access(4, 0) = 0.0;
146  output.access(4, 1) = (1.0 - y)/8.0;
147  output.access(4, 2) = (1.0 + z)/8.0;
148 
149  output.access(5, 0) = -(1.0 + x)/8.0;
150  output.access(5, 1) = 0.0;
151  output.access(5, 2) = (1.0 + z)/8.0;
152 
153  output.access(6, 0) = 0.0;
154  output.access(6, 1) = -(1.0 + y)/8.0;
155  output.access(6, 2) = (1.0 + z)/8.0;
156 
157  output.access(7, 0) = (1.0 - x)/8.0;
158  output.access(7, 1) = 0.0;
159  output.access(7, 2) = (1.0 + z)/8.0;
160 
161  output.access(8, 0) = -(1.0 - x)/8.0;
162  output.access(8, 1) = (1.0 - y)/8.0;
163  output.access(8, 2) = 0.0;
164 
165  output.access(9, 0) = -(1.0 + x)/8.0;
166  output.access(9, 1) = -(1.0 - y)/8.0;
167  output.access(9, 2) = 0.0;
168 
169  output.access(10, 0) = (1.0 + x)/8.0;
170  output.access(10, 1) = -(1.0 + y)/8.0;
171  output.access(10, 2) = 0.0;
172 
173  output.access(11, 0) = (1.0 - x)/8.0;
174  output.access(11, 1) = (1.0 + y)/8.0;
175  output.access(11, 2) = 0.0;
176  break;
177  }
178  default: {
179  INTREPID2_TEST_FOR_ABORT( opType != OPERATOR_VALUE &&
180  opType != OPERATOR_CURL,
181  ">>> ERROR: (Intrepid2::Basis_HGRAD_HEX_C1_FEM::Serial::getValues) operator is not supported");
182  }
183  } //end switch
184 
185  }
186 
187  template<typename SpT,
188  typename outputValueValueType, class ...outputValueProperties,
189  typename inputPointValueType, class ...inputPointProperties>
190  void
191  Basis_HCURL_HEX_I1_FEM::
192  getValues( Kokkos::DynRankView<outputValueValueType,outputValueProperties...> outputValues,
193  const Kokkos::DynRankView<inputPointValueType, inputPointProperties...> inputPoints,
194  const EOperator operatorType ) {
195  typedef Kokkos::DynRankView<outputValueValueType,outputValueProperties...> outputValueViewType;
196  typedef Kokkos::DynRankView<inputPointValueType, inputPointProperties...> inputPointViewType;
197  typedef typename ExecSpace<typename inputPointViewType::execution_space,SpT>::ExecSpaceType ExecSpaceType;
198 
199  // Number of evaluation points = dim 0 of inputPoints
200  const auto loopSize = inputPoints.extent(0);
201  Kokkos::RangePolicy<ExecSpaceType,Kokkos::Schedule<Kokkos::Static> > policy(0, loopSize);
202 
203  switch (operatorType) {
204  case OPERATOR_VALUE: {
205  typedef Functor<outputValueViewType, inputPointViewType, OPERATOR_VALUE> FunctorType;
206  Kokkos::parallel_for( policy, FunctorType(outputValues, inputPoints) );
207  break;
208  }
209  case OPERATOR_CURL: {
210  typedef Functor<outputValueViewType, inputPointViewType, OPERATOR_CURL> FunctorType;
211  Kokkos::parallel_for( policy, FunctorType(outputValues, inputPoints) );
212  break;
213  }
214  case OPERATOR_DIV: {
215  INTREPID2_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_DIV), std::invalid_argument,
216  ">>> ERROR (Basis_HCURL_HEX_I1_FEM::getValues): DIV is invalid operator for HCURL Basis Functions");
217  break;
218  }
219 
220  case OPERATOR_GRAD: {
221  INTREPID2_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_GRAD), std::invalid_argument,
222  ">>> ERROR (Basis_HCURL_HEX_I1_FEM::getValues): GRAD is invalid operator for HCURL Basis Functions");
223  break;
224  }
225 
226  case OPERATOR_D1:
227  case OPERATOR_D2:
228  case OPERATOR_D3:
229  case OPERATOR_D4:
230  case OPERATOR_D5:
231  case OPERATOR_D6:
232  case OPERATOR_D7:
233  case OPERATOR_D8:
234  case OPERATOR_D9:
235  case OPERATOR_D10: {
236  INTREPID2_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_D1) ||
237  (operatorType == OPERATOR_D2) ||
238  (operatorType == OPERATOR_D3) ||
239  (operatorType == OPERATOR_D4) ||
240  (operatorType == OPERATOR_D5) ||
241  (operatorType == OPERATOR_D6) ||
242  (operatorType == OPERATOR_D7) ||
243  (operatorType == OPERATOR_D8) ||
244  (operatorType == OPERATOR_D9) ||
245  (operatorType == OPERATOR_D10),
246  std::invalid_argument,
247  ">>> ERROR (Basis_HCURL_HEX_I1_FEM::getValues): Invalid operator type");
248  break;
249  }
250  default: {
251  INTREPID2_TEST_FOR_EXCEPTION( (operatorType != OPERATOR_VALUE) &&
252  (operatorType != OPERATOR_GRAD) &&
253  (operatorType != OPERATOR_CURL) &&
254  (operatorType != OPERATOR_DIV) &&
255  (operatorType != OPERATOR_D1) &&
256  (operatorType != OPERATOR_D2) &&
257  (operatorType != OPERATOR_D3) &&
258  (operatorType != OPERATOR_D4) &&
259  (operatorType != OPERATOR_D5) &&
260  (operatorType != OPERATOR_D6) &&
261  (operatorType != OPERATOR_D7) &&
262  (operatorType != OPERATOR_D8) &&
263  (operatorType != OPERATOR_D9) &&
264  (operatorType != OPERATOR_D10),
265  std::invalid_argument,
266  ">>> ERROR (Basis_HCURL_HEX_I1_FEM::getValues): Invalid operator type");
267  }
268  }
269  }
270  }
271 
272  // -------------------------------------------------------------------------------------
273 
274 
275  template<typename SpT, typename OT, typename PT>
276  Basis_HCURL_HEX_I1_FEM<SpT,OT,PT>::
277  Basis_HCURL_HEX_I1_FEM() {
278  this->basisCardinality_ = 12;
279  this->basisDegree_ = 1;
280  this->basisCellTopology_ = shards::CellTopology(shards::getCellTopologyData<shards::Hexahedron<8> >() );
281  this->basisType_ = BASIS_FEM_DEFAULT;
282  this->basisCoordinates_ = COORDINATES_CARTESIAN;
283 
284  // initialize tags
285  {
286  // Basis-dependent intializations
287  const ordinal_type tagSize = 4; // size of DoF tag
288  const ordinal_type posScDim = 0; // position in the tag, counting from 0, of the subcell dim
289  const ordinal_type posScOrd = 1; // position in the tag, counting from 0, of the subcell ordinal
290  const ordinal_type posDfOrd = 2; // position in the tag, counting from 0, of DoF ordinal relative to the subcell
291 
292  // An array with local DoF tags assigned to basis functions, in the order of their local enumeration
293  ordinal_type tags[48] = { 1, 0, 0, 1,
294  1, 1, 0, 1,
295  1, 2, 0, 1,
296  1, 3, 0, 1,
297  1, 4, 0, 1,
298  1, 5, 0, 1,
299  1, 6, 0, 1,
300  1, 7, 0, 1,
301  1, 8, 0, 1,
302  1, 9, 0, 1,
303  1, 10, 0, 1,
304  1, 11, 0, 1 };
305 
306  // when exec space is device, this wrapping relies on uvm.
307  ordinal_type_array_1d_host tagView(&tags[0], 48);
308 
309  // Basis-independent function sets tag and enum data in tagToOrdinal_ and ordinalToTag_ arrays:
310  this->setOrdinalTagData(this->tagToOrdinal_,
311  this->ordinalToTag_,
312  tagView,
313  this->basisCardinality_,
314  tagSize,
315  posScDim,
316  posScOrd,
317  posDfOrd);
318  }
319 
320  // dofCoords on host and create its mirror view to device
321  Kokkos::DynRankView<typename scalarViewType::value_type,typename SpT::array_layout,Kokkos::HostSpace>
322  dofCoords("dofCoordsHost", this->basisCardinality_,this->basisCellTopology_.getDimension());
323 
324  dofCoords(0,0) = 0.0; dofCoords(0,1) = -1.0; dofCoords(0,2) = -1.0;
325  dofCoords(1,0) = 1.0; dofCoords(1,1) = 0.0; dofCoords(1,2) = -1.0;
326  dofCoords(2,0) = 0.0; dofCoords(2,1) = 1.0; dofCoords(2,2) = -1.0;
327  dofCoords(3,0) = -1.0; dofCoords(3,1) = 0.0; dofCoords(3,2) = -1.0;
328  dofCoords(4,0) = 0.0; dofCoords(4,1) = -1.0; dofCoords(4,2) = 1.0;
329  dofCoords(5,0) = 1.0; dofCoords(5,1) = 0.0; dofCoords(5,2) = 1.0;
330  dofCoords(6,0) = 0.0; dofCoords(6,1) = 1.0; dofCoords(6,2) = 1.0;
331  dofCoords(7,0) = -1.0; dofCoords(7,1) = 0.0; dofCoords(7,2) = 1.0;
332  dofCoords(8,0) = -1.0; dofCoords(8,1) = -1.0; dofCoords(8,2) = 0.0;
333  dofCoords(9,0) = 1.0; dofCoords(9,1) = -1.0; dofCoords(9,2) = 0.0;
334  dofCoords(10,0) = 1.0; dofCoords(10,1) = 1.0; dofCoords(10,2) = 0.0;
335  dofCoords(11,0) = -1.0; dofCoords(11,1) = 1.0; dofCoords(11,2) = 0.0;
336 
337  this->dofCoords_ = Kokkos::create_mirror_view(typename SpT::memory_space(), dofCoords);
338  Kokkos::deep_copy(this->dofCoords_, dofCoords);
339 
340 
341  // dofCoeffs on host and create its mirror view to device
342  Kokkos::DynRankView<typename scalarViewType::value_type,typename SpT::array_layout,Kokkos::HostSpace>
343  dofCoeffs("dofCoeffsHost", this->basisCardinality_,this->basisCellTopology_.getDimension());
344 
345  // for HCURL_HEX_I1 dofCoeffs are the tangents on the hexahedron edges (with tangents magnitude equal to edges' lengths)
346  dofCoeffs(0,0) = 2.0; dofCoeffs(0,1) = 0.0; dofCoeffs(0,2) = 0.0;
347  dofCoeffs(1,0) = 0.0; dofCoeffs(1,1) = 2.0; dofCoeffs(1,2) = 0.0;
348  dofCoeffs(2,0) = -2.0; dofCoeffs(2,1) = 0.0; dofCoeffs(2,2) = 0.0;
349  dofCoeffs(3,0) = 0.0; dofCoeffs(3,1) = -2.0; dofCoeffs(3,2) = 0.0;
350  dofCoeffs(4,0) = 2.0; dofCoeffs(4,1) = 0.0; dofCoeffs(4,2) = 0.0;
351  dofCoeffs(5,0) = 0.0; dofCoeffs(5,1) = 2.0; dofCoeffs(5,2) = 0.0;
352  dofCoeffs(6,0) = -2.0; dofCoeffs(6,1) = 0.0; dofCoeffs(6,2) = 0.0;
353  dofCoeffs(7,0) = 0.0; dofCoeffs(7,1) = -2.0; dofCoeffs(7,2) = 0.0;
354  dofCoeffs(8,0) = 0.0; dofCoeffs(8,1) = 0.0; dofCoeffs(8,2) = 2.0;
355  dofCoeffs(9,0) = 0.0; dofCoeffs(9,1) = 0.0; dofCoeffs(9,2) = 2.0;
356  dofCoeffs(10,0) = 0.0; dofCoeffs(10,1) = 0.0; dofCoeffs(10,2) = 2.0;
357  dofCoeffs(11,0) = 0.0; dofCoeffs(11,1) = 0.0; dofCoeffs(11,2) = 2.0;
358 
359  this->dofCoeffs_ = Kokkos::create_mirror_view(typename SpT::memory_space(), dofCoeffs);
360  Kokkos::deep_copy(this->dofCoeffs_, dofCoeffs);
361 
362  }
363 
364 }// namespace Intrepid2
365 
366 #endif
Intrepid2::Basis_HCURL_HEX_I1_FEM::Basis_HCURL_HEX_I1_FEM
Basis_HCURL_HEX_I1_FEM()
Constructor.
Definition: Intrepid2_HCURL_HEX_I1_FEMDef.hpp:277
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
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