Intrepid2_HierarchicalBasis_HDIV_TRI.hpp

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#ifndef Intrepid2_HierarchicalBasis_HDIV_TRI_h
#define Intrepid2_HierarchicalBasis_HDIV_TRI_h

#include <Kokkos_DynRankView.hpp>

#include <Intrepid2_config.h>

#include "Intrepid2_Basis.hpp"
#include "Intrepid2_HierarchicalBasis_HCURL_TRI.hpp"
#include "Intrepid2_Polynomials.hpp"
#include "Intrepid2_Utils.hpp"

namespace Intrepid2
{
  
  template<typename DeviceType,
           typename OutputScalar = double,
           typename PointScalar  = double,
           bool useCGBasis = true> // if useCGBasis is false, all basis functions will be associated with the interior
  class HierarchicalBasis_HDIV_TRI
  : public HierarchicalBasis_HCURL_TRI<DeviceType,OutputScalar,PointScalar,useCGBasis>
  {
  public:
    using CurlBasis = HierarchicalBasis_HCURL_TRI<DeviceType,OutputScalar,PointScalar,useCGBasis>;
    
    using BasisBase = Basis<DeviceType,OutputScalar,PointScalar>;

    using typename BasisBase::OrdinalTypeArray1DHost;
    using typename BasisBase::OrdinalTypeArray2DHost;

    using typename BasisBase::OutputViewType;
    using typename BasisBase::PointViewType;
    using typename BasisBase::ScalarViewType;

    using typename BasisBase::ExecutionSpace;

  public:
    HierarchicalBasis_HDIV_TRI(int polyOrder, const EPointType pointType=POINTTYPE_DEFAULT)
    :
    CurlBasis(polyOrder,pointType)
    {
      this->functionSpace_ = FUNCTION_SPACE_HDIV; // CurlBasis will set the other Basis member variables correctly…
    }
    
    const char* getName() const override {
      return "Intrepid2_HierarchicalBasis_HDIV_TRI";
    }
    
    virtual bool requireOrientation() const override {
      return (this->getDegree() > 2);
    }

    // since the getValues() below only overrides the FEM variant, we specify that
    // we use the base class's getValues(), which implements the FVD variant by throwing an exception.
    // (It's an error to use the FVD variant on this basis.)
    using BasisBase::getValues;
    
    virtual void getValues( OutputViewType outputValues, const PointViewType inputPoints,
                           const EOperator operatorType = OPERATOR_VALUE ) const override
    {
      // H(div) functions are a rotation of the corresponding H(curl) functions
      if (operatorType == OPERATOR_DIV)
      {
        this->CurlBasis::getValues(outputValues, inputPoints, OPERATOR_CURL);
      }
      else if (operatorType == OPERATOR_VALUE)
      {
        this->CurlBasis::getValues(outputValues, inputPoints, OPERATOR_VALUE);
        
        const ordinal_type numFields = outputValues.extent_int(0);
        const ordinal_type numPoints = outputValues.extent_int(1);

        auto policy = Kokkos::MDRangePolicy<ExecutionSpace,Kokkos::Rank<2>>(Kokkos::Array<int,2>{0,0},Kokkos::Array<int,2>{numFields,numPoints});
        
        // multiply by [[0 1] [-1 0]]
        Kokkos::parallel_for("apply rotation to H(curl) values", policy,
        KOKKOS_LAMBDA (const int &fieldOrdinal, const int &pointOrdinal) {
          const auto tempValue = outputValues(fieldOrdinal,pointOrdinal,0);
          outputValues(fieldOrdinal,pointOrdinal,0) = outputValues(fieldOrdinal,pointOrdinal,1);
          outputValues(fieldOrdinal,pointOrdinal,1) = -tempValue;
        });
      }
    }

    virtual BasisPtr<typename Kokkos::HostSpace::device_type, OutputScalar, PointScalar>
    getHostBasis() const override {
      using HostDeviceType = typename Kokkos::HostSpace::device_type;
      using HostBasisType  = HierarchicalBasis_HDIV_TRI<HostDeviceType, OutputScalar, PointScalar, useCGBasis>;
      return Teuchos::rcp( new HostBasisType(this->CurlBasis::polyOrder_) );
    }
  };
} // end namespace Intrepid2

#endif /* Intrepid2_HierarchicalBasis_HDIV_TRI_h */