Intrepid2
Intrepid2_HGRAD_TRI_Cn_FEM.hpp
Go to the documentation of this file.
1 // @HEADER
2 // ************************************************************************
3 //
4 // Intrepid2 Package
5 // Copyright (2007) Sandia Corporation
6 //
7 // Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
8 // license for use of this work by or on behalf of the U.S. Government.
9 //
10 // Redistribution and use in source and binary forms, with or without
11 // modification, are permitted provided that the following conditions are
12 // met:
13 //
14 // 1. Redistributions of source code must retain the above copyright
15 // notice, this list of conditions and the following disclaimer.
16 //
17 // 2. Redistributions in binary form must reproduce the above copyright
18 // notice, this list of conditions and the following disclaimer in the
19 // documentation and/or other materials provided with the distribution.
20 //
21 // 3. Neither the name of the Corporation nor the names of the
22 // contributors may be used to endorse or promote products derived from
23 // this software without specific prior written permission.
24 //
25 // THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
26 // EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
27 // IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
28 // PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE
29 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
30 // EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
31 // PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
32 // PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
33 // LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
34 // NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
35 // SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
36 //
37 // Questions? Contact Kyungjoo Kim (kyukim@sandia.gov), or
38 // Mauro Perego (mperego@sandia.gov)
39 //
40 // ************************************************************************
41 // @HEADER
42 
49 #ifndef __INTREPID2_HGRAD_TRI_CN_FEM_HPP__
50 #define __INTREPID2_HGRAD_TRI_CN_FEM_HPP__
51 
52 #include "Intrepid2_Basis.hpp"
55 
56 #include "Intrepid2_PointTools.hpp"
57 #include "Teuchos_LAPACK.hpp"
58 
59 namespace Intrepid2 {
60 
82  namespace Impl {
83 
88 
89  public:
90  typedef struct Triangle<3> cell_topology_type;
96  template<EOperator opType>
97  struct Serial {
98  template<typename outputValueViewType,
99  typename inputPointViewType,
100  typename workViewType,
101  typename vinvViewType>
102  KOKKOS_INLINE_FUNCTION
103  static void
104  getValues( outputValueViewType outputValues,
105  const inputPointViewType inputPoints,
106  workViewType work,
107  const vinvViewType vinv );
108  };
109 
110  template<typename DeviceType, ordinal_type numPtsPerEval,
111  typename outputValueValueType, class ...outputValueProperties,
112  typename inputPointValueType, class ...inputPointProperties,
113  typename vinvValueType, class ...vinvProperties>
114  static void
115  getValues( Kokkos::DynRankView<outputValueValueType,outputValueProperties...> outputValues,
116  const Kokkos::DynRankView<inputPointValueType, inputPointProperties...> inputPoints,
117  const Kokkos::DynRankView<vinvValueType, vinvProperties...> vinv,
118  const EOperator operatorType);
119 
123  template<typename outputValueViewType,
124  typename inputPointViewType,
125  typename vinvViewType,
126  typename workViewType,
127  EOperator opType,
128  ordinal_type numPtsEval>
129  struct Functor {
130  outputValueViewType _outputValues;
131  const inputPointViewType _inputPoints;
132  const vinvViewType _vinv;
133  workViewType _work;
134 
135  KOKKOS_INLINE_FUNCTION
136  Functor( outputValueViewType outputValues_,
137  inputPointViewType inputPoints_,
138  vinvViewType vinv_,
139  workViewType work_)
140  : _outputValues(outputValues_), _inputPoints(inputPoints_),
141  _vinv(vinv_), _work(work_) {}
142 
143  KOKKOS_INLINE_FUNCTION
144  void operator()(const size_type iter) const {
145  const auto ptBegin = Util<ordinal_type>::min(iter*numPtsEval, _inputPoints.extent(0));
146  const auto ptEnd = Util<ordinal_type>::min(ptBegin+numPtsEval, _inputPoints.extent(0));
147 
148  const auto ptRange = Kokkos::pair<ordinal_type,ordinal_type>(ptBegin, ptEnd);
149  const auto input = Kokkos::subview( _inputPoints, ptRange, Kokkos::ALL() );
150 
151  typename workViewType::pointer_type ptr = _work.data() + _work.extent(0)*ptBegin*get_dimension_scalar(_work);
152 
153  auto vcprop = Kokkos::common_view_alloc_prop(_work);
154  workViewType work(Kokkos::view_wrap(ptr,vcprop), (ptEnd-ptBegin)*_work.extent(0));
155 
156  switch (opType) {
157  case OPERATOR_VALUE : {
158  auto output = Kokkos::subview( _outputValues, Kokkos::ALL(), ptRange );
159  Serial<opType>::getValues( output, input, work, _vinv );
160  break;
161  }
162  case OPERATOR_CURL:
163  case OPERATOR_D1:
164  case OPERATOR_D2: {
165  auto output = Kokkos::subview( _outputValues, Kokkos::ALL(), ptRange, Kokkos::ALL() );
166  Serial<opType>::getValues( output, input, work, _vinv );
167  break;
168  }
169  default: {
170  INTREPID2_TEST_FOR_ABORT( true,
171  ">>> ERROR: (Intrepid2::Basis_HGRAD_TRI_Cn_FEM::Functor) operator is not supported");
172 
173  }
174  }
175  }
176  };
177  };
178  }
179 
180  template<typename DeviceType = void,
181  typename outputValueType = double,
182  typename pointValueType = double>
184  : public Basis<DeviceType,outputValueType,pointValueType> {
185  public:
187 
188  using OrdinalTypeArray1DHost = typename Basis<DeviceType,outputValueType,pointValueType>::OrdinalTypeArray1DHost;
189  using OrdinalTypeArray2DHost = typename Basis<DeviceType,outputValueType,pointValueType>::OrdinalTypeArray2DHost;
190  using OrdinalTypeArray3DHost = typename Basis<DeviceType,outputValueType,pointValueType>::OrdinalTypeArray3DHost;
191 
195 
197 
198  private:
199 
202  Kokkos::DynRankView<scalarType,DeviceType> vinv_;
203 
206 
207  public:
210  Basis_HGRAD_TRI_Cn_FEM(const ordinal_type order,
211  const EPointType pointType = POINTTYPE_EQUISPACED);
212 
214 
215  virtual
216  void
217  getValues( OutputViewType outputValues,
218  const PointViewType inputPoints,
219  const EOperator operatorType = OPERATOR_VALUE) const override {
220 #ifdef HAVE_INTREPID2_DEBUG
221  Intrepid2::getValues_HGRAD_Args(outputValues,
222  inputPoints,
223  operatorType,
224  this->getBaseCellTopology(),
225  this->getCardinality() );
226 #endif
227  constexpr ordinal_type numPtsPerEval = Parameters::MaxNumPtsPerBasisEval;
228  Impl::Basis_HGRAD_TRI_Cn_FEM::
229  getValues<DeviceType,numPtsPerEval>( outputValues,
230  inputPoints,
231  this->vinv_,
232  operatorType);
233  }
234 
235  virtual
236  void
237  getDofCoords( ScalarViewType dofCoords ) const override {
238 #ifdef HAVE_INTREPID2_DEBUG
239  // Verify rank of output array.
240  INTREPID2_TEST_FOR_EXCEPTION( dofCoords.rank() != 2, std::invalid_argument,
241  ">>> ERROR: (Intrepid2::Basis_HGRAD_TRI_Cn_FEM::getDofCoords) rank = 2 required for dofCoords array");
242  // Verify 0th dimension of output array.
243  INTREPID2_TEST_FOR_EXCEPTION( static_cast<ordinal_type>(dofCoords.extent(0)) != this->getCardinality(), std::invalid_argument,
244  ">>> ERROR: (Intrepid2::Basis_HGRAD_TRI_Cn_FEM::getDofCoords) mismatch in number of dof and 0th dimension of dofCoords array");
245  // Verify 1st dimension of output array.
246  INTREPID2_TEST_FOR_EXCEPTION( dofCoords.extent(1) != this->getBaseCellTopology().getDimension(), std::invalid_argument,
247  ">>> ERROR: (Intrepid2::Basis_HGRAD_TRI_Cn_FEM::getDofCoords) incorrect reference cell (1st) dimension in dofCoords array");
248 #endif
249  Kokkos::deep_copy(dofCoords, this->dofCoords_);
250  }
251 
252  virtual
253  void
254  getDofCoeffs( ScalarViewType dofCoeffs ) const override {
255 #ifdef HAVE_INTREPID2_DEBUG
256  // Verify rank of output array.
257  INTREPID2_TEST_FOR_EXCEPTION( dofCoeffs.rank() != 1, std::invalid_argument,
258  ">>> ERROR: (Intrepid2::Basis_HGRAD_TRI_Cn_FEM::getdofCoeffs) rank = 1 required for dofCoeffs array");
259  // Verify 0th dimension of output array.
260  INTREPID2_TEST_FOR_EXCEPTION( static_cast<ordinal_type>(dofCoeffs.extent(0)) != this->getCardinality(), std::invalid_argument,
261  ">>> ERROR: (Intrepid2::Basis_HGRAD_TRI_Cn_FEM::getdofCoeffs) mismatch in number of dof and 0th dimension of dofCoeffs array");
262 #endif
263  Kokkos::deep_copy(dofCoeffs, 1.0);
264  }
265 
266 
267  virtual
268  const char*
269  getName() const override {
270  return "Intrepid2_HGRAD_TRI_Cn_FEM";
271  }
272 
273  virtual
274  bool
275  requireOrientation() const override {
276  return (this->basisDegree_ > 2);
277  }
278 
279  void
280  getVandermondeInverse( ScalarViewType vinv ) const {
281  // has to be same rank and dimensions
282  Kokkos::deep_copy(vinv, this->vinv_);
283  }
284 
285  Kokkos::DynRankView<typename ScalarViewType::const_value_type,DeviceType>
286  getVandermondeInverse() const {
287  return vinv_;
288  }
289 
290  ordinal_type
291  getWorkSizePerPoint(const EOperator operatorType) const {
292  auto cardinality = getPnCardinality<2>(this->basisDegree_);
293  switch (operatorType) {
294  case OPERATOR_GRAD:
295  case OPERATOR_CURL:
296  case OPERATOR_D1:
297  return 5*cardinality;
298  default:
299  return getDkCardinality(operatorType, 2)*cardinality;
300  }
301  }
302 
311  BasisPtr<DeviceType,outputValueType,pointValueType>
312  getSubCellRefBasis(const ordinal_type subCellDim, const ordinal_type subCellOrd) const override{
313  if(subCellDim == 1) {
314  return Teuchos::rcp(new
316  (this->basisDegree_, pointType_));
317  }
318  INTREPID2_TEST_FOR_EXCEPTION(true,std::invalid_argument,"Input parameters out of bounds");
319  }
320 
322  getHostBasis() const override{
324  }
325  };
326 
327 }// namespace Intrepid2
328 
330 
331 #endif
Header file for the Intrepid2::Basis_HGRAD_LINE_Cn_FEM class.
Teuchos::RCP< Basis< DeviceType, OutputType, PointType > > BasisPtr
Basis Pointer.
small utility functions
ordinal_type basisDegree_
Degree of the largest complete polynomial space that can be represented by the basis.
virtual bool requireOrientation() const override
True if orientation is required.
virtual const char * getName() const override
Returns basis name.
Header file for the Intrepid2::Basis_HGRAD_TRI_Cn_FEM_ORTH class.
An abstract base class that defines interface for concrete basis implementations for Finite Element (...
ordinal_type getCardinality() const
Returns cardinality of the basis.
KOKKOS_INLINE_FUNCTION ordinal_type getDkCardinality(const EOperator operatorType, const ordinal_type spaceDim)
Returns multiplicities of dx, dy, and dz based on the enumeration of the partial derivative, its order and the space dimension. Inverse of the getDkEnumeration() method.
See Intrepid2::Basis_HGRAD_TRI_Cn_FEM.
static constexpr ordinal_type MaxNumPtsPerBasisEval
The maximum number of points to eval in serial mode.
EPointType pointType_
type of lattice used for creating the DoF coordinates
EOperator
Enumeration of primitive operators available in Intrepid. Primitive operators act on reconstructed fu...
void getValues_HGRAD_Args(const outputValueViewType outputValues, const inputPointViewType inputPoints, const EOperator operatorType, const shards::CellTopology cellTopo, const ordinal_type basisCard)
Runtime check of the arguments for the getValues method in an HGRAD-conforming FEM basis...
Implementation of the locally H(grad)-compatible FEM basis of variable order on the [-1...
See Intrepid2::Basis_HGRAD_TRI_Cn_FEM work is a rank 1 view having the same value_type of inputPoints...
EPointType
Enumeration of types of point distributions in Intrepid.
Kokkos::DynRankView< scalarType, DeviceType > vinv_
inverse of Generalized Vandermonde matrix, whose columns store the expansion coefficients of the noda...
Implementation of the default H(grad)-compatible Lagrange basis of arbitrary degree on Triangle cell...
Definition file for FEM basis functions of degree n for H(grad) functions on TRI cells.
shards::CellTopology getBaseCellTopology() const
Returns the base cell topology for which the basis is defined. See Shards documentation https://trili...
Basis_HGRAD_TRI_Cn_FEM(const ordinal_type order, const EPointType pointType=POINTTYPE_EQUISPACED)
Constructor.
BasisPtr< typename Kokkos::HostSpace::device_type, outputValueType, pointValueType > getHostBasis() const override
Creates and returns a Basis object whose DeviceType template argument is Kokkos::HostSpace::device_ty...
Kokkos::DynRankView< scalarType, DeviceType > dofCoords_
Coordinates of degrees-of-freedom for basis functions defined in physical space.
BasisPtr< DeviceType, outputValueType, pointValueType > getSubCellRefBasis(const ordinal_type subCellDim, const ordinal_type subCellOrd) const override
returns the basis associated to a subCell.
Header file for the abstract base class Intrepid2::Basis.
Header file for Intrepid2::PointTools class to provide utilities for barycentric coordinates, equispaced lattices, and warp-blend point distrubtions.