Intrepid2_DerivedBasis_HDIV_QUAD.hpp

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#ifndef Intrepid2_DerivedBasis_HIV_QUAD_h
#define Intrepid2_DerivedBasis_HIV_QUAD_h

#include <Kokkos_View.hpp>
#include <Kokkos_DynRankView.hpp>

#include "Intrepid2_Polynomials.hpp"

#include "Intrepid2_DirectSumBasis.hpp"
#include "Intrepid2_TensorBasis.hpp"

namespace Intrepid2
{
  template<class HGRAD_LINE, class HVOL_LINE>
  class Basis_Derived_HDIV_Family1_QUAD
  : public Basis_TensorBasis<HVOL_LINE, HGRAD_LINE>
  {
  public:
    using OutputViewType = typename HGRAD_LINE::OutputViewType;
    using PointViewType  = typename HGRAD_LINE::PointViewType ;
    using ScalarViewType = typename HGRAD_LINE::ScalarViewType;
    
    using LineGradBasis = HGRAD_LINE;
    using LineHVolBasis = HVOL_LINE;
    
    using TensorBasis = Basis_TensorBasis<LineHVolBasis,LineGradBasis>;
  public:
    Basis_Derived_HDIV_Family1_QUAD(int polyOrder_x, int polyOrder_y)
    :
    TensorBasis(LineHVolBasis(polyOrder_x-1),
                LineGradBasis(polyOrder_y))
    {
      this->functionSpace_ = FUNCTION_SPACE_HDIV;
    }
    
    using TensorBasis::getValues;
    
    virtual void getValues(OutputViewType outputValues, const EOperator operatorType,
                           const PointViewType  inputPoints1, const PointViewType inputPoints2,
                           bool tensorPoints) const
    {
      // ESEAS implements H(div) as rotated H(curl), which involves weighting family1 with -1.
      // We follow that here to simplify verification tests that involve ESEAS.
      const double weight = -1.0;
      
      Intrepid2::EOperator op1, op2;
      if (operatorType == Intrepid2::OPERATOR_VALUE)
      {
        op1 = Intrepid2::OPERATOR_VALUE;
        op2 = Intrepid2::OPERATOR_VALUE;
        
        // family 1 goes in the y component; 0 in the x component
        auto outputValuesComponent1 = Kokkos::subview(outputValues,Kokkos::ALL(),Kokkos::ALL(),0);
        auto outputValuesComponent2 = Kokkos::subview(outputValues,Kokkos::ALL(),Kokkos::ALL(),1);
        
        this->TensorBasis::getValues(outputValuesComponent2,
                                     inputPoints1, op1,
                                     inputPoints2, op2, tensorPoints, weight);
        // place 0 in the y component
        Kokkos::deep_copy(outputValuesComponent1,0.0);
      }
      else if (operatorType == Intrepid2::OPERATOR_DIV)
      {
        // family 1 gets a d/dy applied to the second (nonzero) vector component
        // since this is H(VOL)(x) * H(GRAD)(y), this amounts to taking the derivative in the second tensorial component
        op1 = Intrepid2::OPERATOR_VALUE;
        op2 = Intrepid2::OPERATOR_GRAD;
        
        this->TensorBasis::getValues(outputValues,
                                     inputPoints1, op1,
                                     inputPoints2, op2, tensorPoints, weight);
      }
      else
      {
        INTREPID2_TEST_FOR_EXCEPTION(true,std::invalid_argument,"operator not yet supported");
      }
    }
  };

  template<class HGRAD_LINE, class HVOL_LINE>
  class Basis_Derived_HDIV_Family2_QUAD
  : public Basis_TensorBasis<HGRAD_LINE, HVOL_LINE>
  {
    using OutputViewType = typename HGRAD_LINE::OutputViewType;
    using PointViewType  = typename HGRAD_LINE::PointViewType ;
    using ScalarViewType = typename HGRAD_LINE::ScalarViewType;
    
    using LineGradBasis = HGRAD_LINE;
    using LineHVolBasis = HVOL_LINE;
    
    using TensorBasis = Basis_TensorBasis<LineGradBasis,LineHVolBasis>;
  public:
    Basis_Derived_HDIV_Family2_QUAD(int polyOrder_x, int polyOrder_y)
    :
    TensorBasis(LineGradBasis(polyOrder_x),
                LineHVolBasis(polyOrder_y-1))
    {
      this->functionSpace_ = FUNCTION_SPACE_HDIV;
    }
    
    using TensorBasis::getValues;
    
    virtual void getValues(OutputViewType outputValues, const EOperator operatorType,
                           const PointViewType  inputPoints1, const PointViewType inputPoints2,
                           bool tensorPoints) const
    {
      Intrepid2::EOperator op1, op2;
      if (operatorType == Intrepid2::OPERATOR_VALUE)
      {
        op1 = Intrepid2::OPERATOR_VALUE;
        op2 = Intrepid2::OPERATOR_VALUE;
        
        // family 2 goes in the x component; 0 in the x component
        auto outputValuesComponent1 = Kokkos::subview(outputValues,Kokkos::ALL(),Kokkos::ALL(),0);
        auto outputValuesComponent2 = Kokkos::subview(outputValues,Kokkos::ALL(),Kokkos::ALL(),1);
        
        this->TensorBasis::getValues(outputValuesComponent1,
                                     inputPoints1, op1,
                                     inputPoints2, op2, tensorPoints);
        // place 0 in the y component
        Kokkos::deep_copy(outputValuesComponent2, 0.0);
      }
      else if (operatorType == Intrepid2::OPERATOR_DIV)
      {
        // family 2 gets a d/dx applied to the first (nonzero) vector component
        // since this is H(GRAD)(x) * H(VOL)(y), this amounts to taking the derivative in the first tensorial component
        op1 = Intrepid2::OPERATOR_GRAD;
        op2 = Intrepid2::OPERATOR_VALUE;
        
        this->TensorBasis::getValues(outputValues,
                                     inputPoints1, op1,
                                     inputPoints2, op2, tensorPoints);
      }
      else
      {
        INTREPID2_TEST_FOR_EXCEPTION(true,std::invalid_argument,"operator not yet supported");
      }
    }
  };
  
  template<class HGRAD_LINE, class HVOL_LINE>
  class Basis_Derived_HDIV_QUAD
  : public Basis_DirectSumBasis<Basis_Derived_HDIV_Family1_QUAD<HGRAD_LINE, HVOL_LINE>,
                                Basis_Derived_HDIV_Family2_QUAD<HGRAD_LINE, HVOL_LINE> >
  {
    using Family1 = Basis_Derived_HDIV_Family1_QUAD<HGRAD_LINE, HVOL_LINE>;
    using Family2 = Basis_Derived_HDIV_Family2_QUAD<HGRAD_LINE, HVOL_LINE>;
    using DirectSumBasis = Basis_DirectSumBasis<Family1,Family2>;
  public:
    Basis_Derived_HDIV_QUAD(int polyOrder_x, int polyOrder_y)
    :
    DirectSumBasis(Family1(polyOrder_x, polyOrder_y),
                   Family2(polyOrder_x, polyOrder_y))
    {
      this->functionSpace_ = FUNCTION_SPACE_HDIV;
    }
    
    Basis_Derived_HDIV_QUAD(int polyOrder) : Basis_Derived_HDIV_QUAD(polyOrder, polyOrder) {}

    virtual bool requireOrientation() const {
      return (this->getDofCount(1,0) > 0); //if it has side DOFs, than it needs orientations
    }
  };
} // end namespace Intrepid2

#endif /* Intrepid2_DerivedBasis_HIV_QUAD_h */