Intrepid2_Cubature.hpp

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#ifndef __INTREPID2_CUBATURE_HPP__
#define __INTREPID2_CUBATURE_HPP__

#include "Intrepid2_ConfigDefs.hpp"
#include "Intrepid2_Types.hpp"
#include "Intrepid2_Utils.hpp"

namespace Intrepid2 {

  /* \struct Intrepid2::CubatureTemplate
      \brief  Template for the cubature rules used by Intrepid. Cubature template consists of
              cubature points and cubature weights. Intrepid provides a collection of cubature
              templates for most standard cell topologies. The templates are defined in reference
              coordinates using a standard reference cell for each canonical cell type. Cubature
              points are always specified by a triple of (X,Y,Z) coordinates even if the cell
              dimension is less than 3. The unused dimensions should be padded by zeroes.

              For example, a set of Gauss rules on [-1,1] looks as the following array of CubatureTemplate structs:

  \verbatim
  cubature_rule[4] =
  {                                         // Collection of Gauss rules on [-1,1]
    {
      1,                                      ----> number of points in the rule
      {{0.0,0.0,0.0}},                        ----> X,Y,Z coordinates of the cubature points
      {0.5}                                   ----> the cubature weight
    },
    {
      2,
      {{-sqrt(1.0/3.0),0.0,0.0},
       {+sqrt(1.0/3.0),0.0,0.0}},
      {1.0,1.0}
    },
    {
      3,
      {{-sqrt(3.0/5.0),0.0,0.0},
       {0.0,0.0,0.0},
       {+sqrt(3.0/5.0),0.0,0.0}},
      {5.0/9.0, 8.0/9.0,5.0/9.0}
    },
    {
      4,
      {{-sqrt((3.0+4.0*sqrt(0.3))/7.0),0.0,0.0},
       {-sqrt((3.0-4.0*sqrt(0.3))/7.0),0.0,0.0},
       {+sqrt((3.0-4.0*sqrt(0.3))/7.0),0.0,0.0},
       {+sqrt((3.0+4.0*sqrt(0.3))/7.0),0.0,0.0}},
      //
      {0.5-sqrt(10.0/3.0)/12.0,
       0.5+sqrt(10.0/3.0)/12.0,
       0.5+sqrt(10.0/3.0)/12.0,
       0.5-sqrt(10.0/3.0)/12.0}
    }
  };  // end Gauss
  \endverbatim

      Also see data member documentation.
  */


  template<typename ExecSpaceType = void,
           typename pointValueType = double,
           typename weightValueType = double>
  class Cubature {
  public:

    typedef Kokkos::DynRankView<pointValueType,Kokkos::LayoutStride,ExecSpaceType>   pointViewType;
    typedef Kokkos::DynRankView<weightValueType,Kokkos::LayoutStride,ExecSpaceType>  weightViewType;

    virtual
    void
    getCubature( pointViewType  /* cubPoints */,
                 weightViewType /* cubWeights */ ) const {
      INTREPID2_TEST_FOR_EXCEPTION( true, std::logic_error,
                                    ">>> ERROR (Cubature::getCubature): this method should be over-riden by derived classes.");
    }

    virtual
    void
    getCubature( pointViewType  /* cubPoints */,
                 weightViewType /* cubWeights */,
                 pointViewType  /* cellVertices */) const {
      INTREPID2_TEST_FOR_EXCEPTION( true, std::logic_error,
                                    ">>> ERROR (Cubature::getCubature): this method should be over-riden by derived classes.");
    }

    virtual
    ordinal_type
    getNumPoints() const {
      INTREPID2_TEST_FOR_WARNING( true, 
                                  ">>> ERROR (Cubature::getNumPoints): this method should be over-riden by derived classes.");
      return 0;
    }


    virtual
    ordinal_type
    getDimension() const {
      INTREPID2_TEST_FOR_WARNING( true, 
                                  ">>> ERROR (Cubature::getDimension): this method should be over-riden by derived classes.");
      return 0;
    }

    virtual
    ordinal_type
    getAccuracy() const {
      INTREPID2_TEST_FOR_WARNING( true, 
                                  ">>> ERROR (Cubature::getDimension): this method should be over-riden by derived classes.");
      return 0;
    }

    virtual
    const char*
    getName() const  {
      return "Cubature";
    }

    Cubature() = default;
    virtual ~Cubature() {}

  };

}// end namespace Intrepid2


#endif