49 #ifndef __INTREPID2_HGRAD_TRI_CN_FEM_HPP__ 
   50 #define __INTREPID2_HGRAD_TRI_CN_FEM_HPP__ 
   56 #include "Teuchos_LAPACK.hpp" 
   88       typedef struct Triangle<3> cell_topology_type;
 
   94       template<EOperator opType>
 
   96         template<
typename outputValueViewType,
 
   97                  typename inputPointViewType,
 
   98                  typename workViewType,
 
   99                  typename vinvViewType>
 
  100         KOKKOS_INLINE_FUNCTION
 
  102         getValues(       outputValueViewType outputValues,
 
  103                          const inputPointViewType  inputPoints,
 
  105                          const vinvViewType        vinv );
 
  108       template<
typename ExecSpaceType, ordinal_type numPtsPerEval,
 
  109                typename outputValueValueType, 
class ...outputValueProperties,
 
  110                typename inputPointValueType,  
class ...inputPointProperties,
 
  111                typename vinvValueType,        
class ...vinvProperties>
 
  113       getValues(        Kokkos::DynRankView<outputValueValueType,outputValueProperties...> outputValues,
 
  114                         const Kokkos::DynRankView<inputPointValueType, inputPointProperties...>  inputPoints,
 
  115                         const Kokkos::DynRankView<vinvValueType,       vinvProperties...>        vinv,
 
  116                         const EOperator operatorType);
 
  121       template<
typename outputValueViewType,
 
  122                typename inputPointViewType,
 
  123                typename vinvViewType,
 
  124                typename workViewType,
 
  126                ordinal_type numPtsEval>
 
  128         outputValueViewType _outputValues;
 
  129         const inputPointViewType  _inputPoints;
 
  130         const vinvViewType        _vinv;
 
  133         KOKKOS_INLINE_FUNCTION
 
  134         Functor(       outputValueViewType outputValues_,
 
  135                        inputPointViewType  inputPoints_,
 
  138           : _outputValues(outputValues_), _inputPoints(inputPoints_),
 
  139             _vinv(vinv_), _work(work_) {}
 
  141         KOKKOS_INLINE_FUNCTION
 
  142         void operator()(
const size_type iter)
 const {
 
  146           const auto ptRange = Kokkos::pair<ordinal_type,ordinal_type>(ptBegin, ptEnd);
 
  147           const auto input   = Kokkos::subview( _inputPoints, ptRange, Kokkos::ALL() );
 
  149           typename workViewType::pointer_type ptr = _work.data() + _work.extent(0)*ptBegin*get_dimension_scalar(_work);
 
  151           auto vcprop = Kokkos::common_view_alloc_prop(_work);
 
  152           workViewType  work(Kokkos::view_wrap(ptr,vcprop), (ptEnd-ptBegin)*_work.extent(0));
 
  155           case OPERATOR_VALUE : {
 
  156             auto output = Kokkos::subview( _outputValues, Kokkos::ALL(), ptRange );
 
  163             auto output = Kokkos::subview( _outputValues, Kokkos::ALL(), ptRange, Kokkos::ALL() );
 
  168             INTREPID2_TEST_FOR_ABORT( 
true,
 
  169                                       ">>> ERROR: (Intrepid2::Basis_HGRAD_TRI_Cn_FEM::Functor) operator is not supported");
 
  178   template<
typename ExecSpaceType = void,
 
  179            typename outputValueType = double,
 
  180            typename pointValueType = 
double>
 
  182     : 
public Basis<ExecSpaceType,outputValueType,pointValueType> {
 
  198     Kokkos::DynRankView<scalarType,ExecSpaceType> 
vinv_;
 
  204                            const EPointType   pointType = POINTTYPE_EQUISPACED);
 
  212                      const EOperator operatorType = OPERATOR_VALUE)
 const {
 
  213 #ifdef HAVE_INTREPID2_DEBUG 
  214       Intrepid2::getValues_HGRAD_Args(outputValues,
 
  221       Impl::Basis_HGRAD_TRI_Cn_FEM::
 
  222         getValues<ExecSpaceType,numPtsPerEval>( outputValues,
 
  231 #ifdef HAVE_INTREPID2_DEBUG 
  233       INTREPID2_TEST_FOR_EXCEPTION( dofCoords.rank() != 2, std::invalid_argument,
 
  234                                     ">>> ERROR: (Intrepid2::Basis_HGRAD_TRI_Cn_FEM::getDofCoords) rank = 2 required for dofCoords array");
 
  236       INTREPID2_TEST_FOR_EXCEPTION( static_cast<ordinal_type>(dofCoords.extent(0)) != this->
getCardinality(), std::invalid_argument,
 
  237                                     ">>> ERROR: (Intrepid2::Basis_HGRAD_TRI_Cn_FEM::getDofCoords) mismatch in number of dof and 0th dimension of dofCoords array");
 
  239       INTREPID2_TEST_FOR_EXCEPTION( dofCoords.extent(1) != this->
getBaseCellTopology().getDimension(), std::invalid_argument,
 
  240                                     ">>> ERROR: (Intrepid2::Basis_HGRAD_TRI_Cn_FEM::getDofCoords) incorrect reference cell (1st) dimension in dofCoords array");
 
  242       Kokkos::deep_copy(dofCoords, this->
dofCoords_);
 
  248 #ifdef HAVE_INTREPID2_DEBUG 
  250       INTREPID2_TEST_FOR_EXCEPTION( dofCoeffs.rank() != 1, std::invalid_argument,
 
  251                                     ">>> ERROR: (Intrepid2::Basis_HGRAD_TRI_Cn_FEM::getdofCoeffs) rank = 1 required for dofCoeffs array");
 
  253       INTREPID2_TEST_FOR_EXCEPTION( static_cast<ordinal_type>(dofCoeffs.extent(0)) != this->
getCardinality(), std::invalid_argument,
 
  254                                     ">>> ERROR: (Intrepid2::Basis_HGRAD_TRI_Cn_FEM::getdofCoeffs) mismatch in number of dof and 0th dimension of dofCoeffs array");
 
  256       Kokkos::deep_copy(dofCoeffs, 1.0);
 
  263       return "Intrepid2_HGRAD_TRI_Cn_FEM";
 
  273     getVandermondeInverse( ScalarViewType vinv )
 const {
 
  275       Kokkos::deep_copy(vinv, this->
vinv_);
 
  278     Kokkos::DynRankView<typename ScalarViewType::const_value_type,ExecSpaceType>
 
  279     getVandermondeInverse()
 const {
 
  284     getWorkSizePerPoint(
const EOperator operatorType)
 const {
 
  285       auto cardinality = getPnCardinality<2>(this->
basisDegree_);
 
  286       switch (operatorType) {
 
  290         return 5*cardinality;
 
  292         return getDkCardinality(operatorType, 2)*cardinality;
 
Kokkos::View< ordinal_type *, typename ExecSpaceType::array_layout, Kokkos::HostSpace > OrdinalTypeArray1DHost
View type for 1d host array. 
 
Kokkos::View< ordinal_type **, typename ExecSpaceType::array_layout, Kokkos::HostSpace > OrdinalTypeArray2DHost
View type for 2d host array. 
 
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 (...
 
shards::CellTopology getBaseCellTopology() const 
Returns the base cell topology for which the basis is defined. See Shards documentation https://trili...
 
virtual void getDofCoords(ScalarViewType dofCoords) const 
Returns spatial locations (coordinates) of degrees of freedom on the reference cell. 
 
Kokkos::DynRankView< scalarType, ExecSpaceType > dofCoords_
Coordinates of degrees-of-freedom for basis functions defined in physical space. 
 
See Intrepid2::Basis_HGRAD_TRI_Cn_FEM. 
 
ordinal_type getCardinality() const 
Returns cardinality of the basis. 
 
ordinal_type basisDegree_
Degree of the largest complete polynomial space that can be represented by the basis. 
 
See Intrepid2::Basis_HGRAD_TRI_Cn_FEM. 
 
static constexpr ordinal_type MaxNumPtsPerBasisEval
The maximum number of points to eval in serial mode. 
 
virtual const char * getName() const 
Returns basis name. 
 
Basis_HGRAD_TRI_Cn_FEM(const ordinal_type order, const EPointType pointType=POINTTYPE_EQUISPACED)
Constructor. 
 
Kokkos::DynRankView< OutputValueType, Kokkos::LayoutStride, ExecSpaceType > OutputViewType
View type for basis value output. 
 
Kokkos::View< ordinal_type ***, typename ExecSpaceType::array_layout, Kokkos::HostSpace > OrdinalTypeArray3DHost
View type for 3d host array. 
 
Kokkos::DynRankView< scalarType, ExecSpaceType > vinv_
inverse of Generalized Vandermonde matrix, whose columns store the expansion coefficients of the noda...
 
See Intrepid2::Basis_HGRAD_TRI_Cn_FEM work is a rank 1 view having the same value_type of inputPoints...
 
Kokkos::DynRankView< PointValueType, Kokkos::LayoutStride, ExecSpaceType > PointViewType
View type for input points. 
 
virtual bool requireOrientation() const 
True if orientation is required. 
 
virtual void getDofCoeffs(ScalarViewType dofCoeffs) const 
Coefficients for computing degrees of freedom for Lagrangian basis If P is an element of the space sp...
 
virtual void getValues(OutputViewType outputValues, const PointViewType inputPoints, const EOperator operatorType=OPERATOR_VALUE) const 
Evaluation of a FEM basis on a reference cell. 
 
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. 
 
Kokkos::DynRankView< scalarType, Kokkos::LayoutStride, ExecSpaceType > ScalarViewType
View type for scalars. 
 
ScalarTraits< pointValueType >::scalar_type scalarType
Scalar type for point values. 
 
Header file for the abstract base class Intrepid2::Basis.