Intrepid2_DerivedBasis_HDIV_HEX.hpp

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#ifndef Intrepid2_DerivedBasis_HDIV_HEX_h
#define Intrepid2_DerivedBasis_HDIV_HEX_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_HEX
  :
  public Basis_TensorBasis3<HGRAD_LINE, HVOL_LINE, HVOL_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 TensorBasis3 = Basis_TensorBasis3<LineGradBasis, LineHVolBasis, LineHVolBasis>;
  public:
    Basis_Derived_HDIV_Family1_HEX(int polyOrder_x, int polyOrder_y, int polyOrder_z)
    :
    TensorBasis3(LineGradBasis(polyOrder_x  ),
                 LineHVolBasis(polyOrder_y-1),
                 LineHVolBasis(polyOrder_z-1))
    {
      this->functionSpace_ = FUNCTION_SPACE_HDIV;
    }
    
    using TensorBasis3::getValues;
    
    virtual void getValues(OutputViewType outputValues, const EOperator operatorType,
                           const PointViewType  inputPoints1, const PointViewType inputPoints2, const PointViewType inputPoints3,
                           bool tensorPoints) const
    {
      Intrepid2::EOperator op1, op2, op3;
      if (operatorType == Intrepid2::OPERATOR_VALUE)
      {
        op1 = Intrepid2::OPERATOR_VALUE;
        op2 = Intrepid2::OPERATOR_VALUE;
        op3 = Intrepid2::OPERATOR_VALUE;
        
        // family 1 goes in the x component; 0 in the y and z components
        auto outputValuesComponent1 = Kokkos::subview(outputValues,Kokkos::ALL(),Kokkos::ALL(),0);
        auto outputValuesComponent23 = Kokkos::subview(outputValues,Kokkos::ALL(),Kokkos::ALL(),std::make_pair(1,3));
        
        this->TensorBasis3::getValues(outputValuesComponent1,
                                      inputPoints1, op1,
                                      inputPoints2, op2,
                                      inputPoints3, op3, tensorPoints);
        // place 0 in the y and z components
        Kokkos::deep_copy(outputValuesComponent23,0.0);
      }
      else if (operatorType == Intrepid2::OPERATOR_DIV)
      {
        // family 1 is nonzero in the x component, so the div is d/dx of the first component
        // outputValues is scalar, so no need to take subviews
        
        op1 = Intrepid2::OPERATOR_GRAD;  // d/dx
        op2 = Intrepid2::OPERATOR_VALUE;
        op3 = Intrepid2::OPERATOR_VALUE;
        
        double weight = 1.0; // the plus sign in front of d/dx
        this->TensorBasis3::getValues(outputValues,
                                      inputPoints1, op1,
                                      inputPoints2, op2,
                                      inputPoints3, op3, 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_HEX
  :
  public Basis_TensorBasis3<HVOL_LINE, HGRAD_LINE, HVOL_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 TensorBasis3 = Basis_TensorBasis3<LineHVolBasis, LineGradBasis, LineHVolBasis>;
  public:
    Basis_Derived_HDIV_Family2_HEX(int polyOrder_x, int polyOrder_y, int polyOrder_z)
    :
    TensorBasis3(LineHVolBasis(polyOrder_x-1),
                 LineGradBasis(polyOrder_y  ),
                 LineHVolBasis(polyOrder_z-1))
    {
      this->functionSpace_ = FUNCTION_SPACE_HDIV;
    }
    
    using TensorBasis3::getValues;
    
    virtual void getValues(OutputViewType outputValues, const EOperator operatorType,
                           const PointViewType  inputPoints1, const PointViewType inputPoints2, const PointViewType inputPoints3,
                           bool tensorPoints) const
    {
      Intrepid2::EOperator op1, op2, op3;
      if (operatorType == Intrepid2::OPERATOR_VALUE)
      {
        op1 = Intrepid2::OPERATOR_VALUE;
        op2 = Intrepid2::OPERATOR_VALUE;
        op3 = Intrepid2::OPERATOR_VALUE;
        
        // family 2 goes in the y component; 0 in the x and z components
        auto outputValuesComponent_x = Kokkos::subview(outputValues,Kokkos::ALL(),Kokkos::ALL(),0);
        auto outputValuesComponent_y = Kokkos::subview(outputValues,Kokkos::ALL(),Kokkos::ALL(),1);
        auto outputValuesComponent_z = Kokkos::subview(outputValues,Kokkos::ALL(),Kokkos::ALL(),2);
       
        // 0 in x component
        Kokkos::deep_copy(outputValuesComponent_x,0.0);
        
        double weight = 1.0;
        this->TensorBasis3::getValues(outputValuesComponent_y,
                                      inputPoints1, op1,
                                      inputPoints2, op2,
                                      inputPoints3, op3, tensorPoints, weight);
        
        // 0 in z component
        Kokkos::deep_copy(outputValuesComponent_z,0.0);
      }
      else if (operatorType == Intrepid2::OPERATOR_DIV)
      {
        // family 2 is nonzero in the y component, so the div is d/dy of the second component
        // ESEAS has -1 weight here; we follow that, to simplify verification
        // outputValues is scalar, so no need to take subviews
        
        op1 = Intrepid2::OPERATOR_VALUE;
        op2 = Intrepid2::OPERATOR_GRAD;  // d/dy
        op3 = Intrepid2::OPERATOR_VALUE;
        
        double weight = 1.0;
        this->TensorBasis3::getValues(outputValues,
                                      inputPoints1, op1,
                                      inputPoints2, op2,
                                      inputPoints3, op3, 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_Family3_HEX
  : public Basis_TensorBasis3<HVOL_LINE, 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 TensorBasis3 = Basis_TensorBasis3<LineHVolBasis, LineHVolBasis, LineGradBasis>;
  public:
    Basis_Derived_HDIV_Family3_HEX(int polyOrder_x, int polyOrder_y, int polyOrder_z)
    :
    TensorBasis3(LineHVolBasis(polyOrder_x-1),
                 LineHVolBasis(polyOrder_y-1),
                 LineGradBasis(polyOrder_z  ))
    {
      this->functionSpace_ = FUNCTION_SPACE_HDIV;
    }
    
    using TensorBasis3::getValues;
    
    virtual void getValues(OutputViewType outputValues, const EOperator operatorType,
                           const PointViewType  inputPoints1, const PointViewType inputPoints2, const PointViewType inputPoints3,
                           bool tensorPoints) const
    {
      Intrepid2::EOperator op1, op2, op3;
      if (operatorType == Intrepid2::OPERATOR_VALUE)
      {
        op1 = Intrepid2::OPERATOR_VALUE;
        op2 = Intrepid2::OPERATOR_VALUE;
        op3 = Intrepid2::OPERATOR_VALUE;
        
        // family 3 goes in the z component; 0 in the x and y components
        auto outputValuesComponent_xy = Kokkos::subview(outputValues,Kokkos::ALL(),Kokkos::ALL(),std::make_pair(0,2));
        auto outputValuesComponent_z = Kokkos::subview(outputValues,Kokkos::ALL(),Kokkos::ALL(),2);
       
        // 0 in x and y components
        Kokkos::deep_copy(outputValuesComponent_xy,0.0);
        
        // z component
        this->TensorBasis3::getValues(outputValuesComponent_z,
                                      inputPoints1, op1,
                                      inputPoints2, op2,
                                      inputPoints3, op3, tensorPoints);
      }
      else if (operatorType == Intrepid2::OPERATOR_DIV)
      {
        // family 3 is nonzero in the z component, so the div is d/dz of the third component
        // outputValues is scalar, so no need to take subviews
        
        op1 = Intrepid2::OPERATOR_VALUE;
        op2 = Intrepid2::OPERATOR_VALUE;
        op3 = Intrepid2::OPERATOR_GRAD;  // d/dz
        
        double weight = 1.0; // the plus sign in front of d/dz
        this->TensorBasis3::getValues(outputValues,
                                      inputPoints1, op1,
                                      inputPoints2, op2,
                                      inputPoints3, op3, tensorPoints, weight);
      }
      else
      {
        INTREPID2_TEST_FOR_EXCEPTION(true,std::invalid_argument,"operator not yet supported");
      }
    }
  };
  
  // ESEAS numbers its H(div) families differently, with the nonzero going in z, x, y for I,II,III.
  // To allow our interior orderings to match that of ESEAS, we put the direct sum in the same order as ESEAS,
  // which is to say that we go 3,1,2.
  template<class HGRAD_LINE, class HVOL_LINE>
  class Basis_Derived_HDIV_Family3_Family1_HEX
  : public Basis_DirectSumBasis<Basis_Derived_HDIV_Family3_HEX<HGRAD_LINE, HVOL_LINE>,
                                Basis_Derived_HDIV_Family1_HEX<HGRAD_LINE, HVOL_LINE>>
  {
    using Family3 = Basis_Derived_HDIV_Family3_HEX<HGRAD_LINE, HVOL_LINE>;
    using Family1 = Basis_Derived_HDIV_Family1_HEX<HGRAD_LINE, HVOL_LINE>;
    using DirectSumBasis = Basis_DirectSumBasis<Family3,Family1>;
  public:
    Basis_Derived_HDIV_Family3_Family1_HEX(int polyOrder_x, int polyOrder_y, int polyOrder_z)
    :
    DirectSumBasis(Family3(polyOrder_x, polyOrder_y, polyOrder_z),
                   Family1(polyOrder_x, polyOrder_y, polyOrder_z)) {
      this->functionSpace_ = FUNCTION_SPACE_HDIV;
    }
  };
  
  template<class HGRAD_LINE, class HVOL_LINE>
  class Basis_Derived_HDIV_HEX
  : public Basis_DirectSumBasis<Basis_Derived_HDIV_Family3_Family1_HEX<HGRAD_LINE, HVOL_LINE>,
                                Basis_Derived_HDIV_Family2_HEX<HGRAD_LINE, HVOL_LINE> >
  {
    using Family31 = Basis_Derived_HDIV_Family3_Family1_HEX<HGRAD_LINE, HVOL_LINE>;
    using Family2  = Basis_Derived_HDIV_Family2_HEX        <HGRAD_LINE, HVOL_LINE>;
    using DirectSumBasis = Basis_DirectSumBasis<Family31,Family2>;
  public:
    Basis_Derived_HDIV_HEX(int polyOrder_x, int polyOrder_y, int polyOrder_z)
    :
    DirectSumBasis(Family31(polyOrder_x, polyOrder_y, polyOrder_z),
                   Family2 (polyOrder_x, polyOrder_y, polyOrder_z)) {
      this->functionSpace_ = FUNCTION_SPACE_HDIV;
    }
    
    Basis_Derived_HDIV_HEX(int polyOrder) : Basis_Derived_HDIV_HEX(polyOrder, polyOrder, polyOrder) {}

    virtual bool requireOrientation() const {
      return (this->getDofCount(2,0) > 0); //if it has side DOFs, than it needs orientations
    }
  };
} // end namespace Intrepid2

#endif /* Intrepid2_DerivedBasis_HDIV_HEX_h */