Intrepid2_HDIV_QUAD_I1_FEMDef.hpp

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#ifndef __INTREPID2_HDIV_QUAD_I1_FEM_DEF_HPP__
#define __INTREPID2_HDIV_QUAD_I1_FEM_DEF_HPP__


namespace Intrepid2 {

  // -------------------------------------------------------------------------------------
  namespace Impl {

    template<EOperator opType>
    template<typename outputViewType,
             typename inputViewType>
    KOKKOS_INLINE_FUNCTION
    void
    Basis_HDIV_QUAD_I1_FEM::Serial<opType>::
    getValues(       outputViewType output,
               const inputViewType input ) {
      switch (opType) {
      case OPERATOR_VALUE : {          // outputValues is a rank-3 array with dimensions (basisCardinality_, dim0, spaceDim)
        const auto x = input(0);
        const auto y = input(1);

        output.access(0, 0) = 0.0;
        output.access(0, 1) = (y - 1.0)/4.0;

        output.access(1, 0) = (1.0 + x)/4.0;
        output.access(1, 1) = 0.0;

        output.access(2, 0) = 0.0;
        output.access(2, 1) = (1.0 + y)/4.0;

        output.access(3, 0) = (x - 1.0)/4.0;
        output.access(3, 1) = 0.0;
        break;
      }
      case OPERATOR_DIV: {
        output.access(0) = 0.25;
        output.access(1) = 0.25;
        output.access(2) = 0.25;
        output.access(3) = 0.25;
        break;
      }
      default: {
        INTREPID2_TEST_FOR_ABORT( opType != OPERATOR_VALUE &&
                                  opType != OPERATOR_DIV,
                                  ">>> ERROR: (Intrepid2::Basis_HDIV_QUAD_C1_FEM::Serial::getValues) operator is not supported");

      }
      }
    }

    template<typename SpT,
             typename outputValueValueType, class ...outputValueProperties,
             typename inputPointValueType,  class ...inputPointProperties>
    void
    Basis_HDIV_QUAD_I1_FEM::
    getValues(       Kokkos::DynRankView<outputValueValueType,outputValueProperties...> outputValues,
               const Kokkos::DynRankView<inputPointValueType, inputPointProperties...>  inputPoints,
               const EOperator operatorType )  {
      typedef          Kokkos::DynRankView<outputValueValueType,outputValueProperties...>         outputValueViewType;
      typedef          Kokkos::DynRankView<inputPointValueType, inputPointProperties...>          inputPointViewType;
      typedef typename ExecSpace<typename inputPointViewType::execution_space,SpT>::ExecSpaceType ExecSpaceType;


      // Number of evaluation points = dim 0 of inputPoints
      const auto loopSize = inputPoints.extent(0);
      Kokkos::RangePolicy<ExecSpaceType,Kokkos::Schedule<Kokkos::Static> > policy(0, loopSize);

      switch (operatorType) {
      case OPERATOR_VALUE: {
        typedef Functor<outputValueViewType,inputPointViewType,OPERATOR_VALUE> FunctorType;
        Kokkos::parallel_for( policy, FunctorType(outputValues, inputPoints) );
        break;
      }
      case OPERATOR_DIV: {
        typedef Functor<outputValueViewType,inputPointViewType,OPERATOR_DIV> FunctorType;
        Kokkos::parallel_for( policy, FunctorType(outputValues, inputPoints) );
        break;
      }
      case OPERATOR_CURL: {
        INTREPID2_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_CURL), std::invalid_argument,
                                      ">>> ERROR (Basis_HDIV_QUAD_I1_FEM): CURL is invalid operator for HDIV Basis Functions");
        break;
      }
      case OPERATOR_GRAD: {
        INTREPID2_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_GRAD), std::invalid_argument,
                                      ">>> ERROR (Basis_HDIV_QUAD_I1_FEM): GRAD is invalid operator for HDIV Basis Functions");
        break;
      }
      case OPERATOR_D1:
      case OPERATOR_D2:
      case OPERATOR_D3:
      case OPERATOR_D4:
      case OPERATOR_D5:
      case OPERATOR_D6:
      case OPERATOR_D7:
      case OPERATOR_D8:
      case OPERATOR_D9:
      case OPERATOR_D10: {
        INTREPID2_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_D1)    ||
                                      (operatorType == OPERATOR_D2)    ||
                                      (operatorType == OPERATOR_D3)    ||
                                      (operatorType == OPERATOR_D4)    ||
                                      (operatorType == OPERATOR_D5)    ||
                                      (operatorType == OPERATOR_D6)    ||
                                      (operatorType == OPERATOR_D7)    ||
                                      (operatorType == OPERATOR_D8)    ||
                                      (operatorType == OPERATOR_D9)    ||
                                      (operatorType == OPERATOR_D10),
                                      std::invalid_argument,
                                      ">>> ERROR (Basis_HDIV_QUAD_I1_FEM): Invalid operator type");
        break;
      }
      default: {
        INTREPID2_TEST_FOR_EXCEPTION( (operatorType != OPERATOR_VALUE) &&
                                      (operatorType != OPERATOR_GRAD)  &&
                                      (operatorType != OPERATOR_CURL)  &&
                                      (operatorType != OPERATOR_DIV)   &&
                                      (operatorType != OPERATOR_D1)    &&
                                      (operatorType != OPERATOR_D2)    &&
                                      (operatorType != OPERATOR_D3)    &&
                                      (operatorType != OPERATOR_D4)    &&
                                      (operatorType != OPERATOR_D5)    &&
                                      (operatorType != OPERATOR_D6)    &&
                                      (operatorType != OPERATOR_D7)    &&
                                      (operatorType != OPERATOR_D8)    &&
                                      (operatorType != OPERATOR_D9)    &&
                                      (operatorType != OPERATOR_D10),
                                      std::invalid_argument,
                                      ">>> ERROR (Basis_HDIV_QUAD_I1_FEM): Invalid operator type");
      }
      }
    }


  }

  template<typename SpT, typename OT, typename PT>
  Basis_HDIV_QUAD_I1_FEM<SpT,OT,PT>::
  Basis_HDIV_QUAD_I1_FEM() {
    this->basisCardinality_  = 4;
    this->basisDegree_       = 1;
    this->basisCellTopology_ = shards::CellTopology(shards::getCellTopologyData<shards::Quadrilateral<4> >() );
    this->basisType_         = BASIS_FEM_DEFAULT;
    this->basisCoordinates_  = COORDINATES_CARTESIAN;

    // initialize tags
    {
      // Basis-dependent intializations
      const ordinal_type tagSize  = 4;        // size of DoF tag
      const ordinal_type posScDim = 0;        // position in the tag, counting from 0, of the subcell dim
      const ordinal_type posScOrd = 1;        // position in the tag, counting from 0, of the subcell ordinal
      const ordinal_type posDfOrd = 2;        // position in the tag, counting from 0, of DoF ordinal relative to the subcell

      // An array with local DoF tags assigned to basis functions, in the order of their local enumeration
      ordinal_type tags[16]  = { 1, 0, 0, 1,
                                 1, 1, 0, 1,
                                 1, 2, 0, 1,
                                 1, 3, 0, 1 };


      // when exec space is device, this wrapping relies on uvm.
      ordinal_type_array_1d_host tagView(&tags[0], 16);

      // Basis-independent function sets tag and enum data in tagToOrdinal_ and ordinalToTag_ arrays:
      this->setOrdinalTagData(this->tagToOrdinal_,
                              this->ordinalToTag_,
                              tagView,
                              this->basisCardinality_,
                              tagSize,
                              posScDim,
                              posScOrd,
                              posDfOrd);
    }
    // dofCoords on host and create its mirror view to device
    Kokkos::DynRankView<typename scalarViewType::value_type,typename SpT::array_layout,Kokkos::HostSpace>
      dofCoords("dofCoordsHost", this->basisCardinality_,this->basisCellTopology_.getDimension());

    dofCoords(0,0)  =  0.0;   dofCoords(0,1)  = -1.0;
    dofCoords(1,0)  =  1.0;   dofCoords(1,1)  =  0.0;
    dofCoords(2,0)  =  0.0;   dofCoords(2,1)  =  1.0;
    dofCoords(3,0)  = -1.0;   dofCoords(3,1)  =  0.0;

    this->dofCoords_ = Kokkos::create_mirror_view(typename SpT::memory_space(), dofCoords);
    Kokkos::deep_copy(this->dofCoords_, dofCoords);

    // dofCoeffs on host and create its mirror view to device
    Kokkos::DynRankView<typename scalarViewType::value_type,typename SpT::array_layout,Kokkos::HostSpace>
      dofCoeffs("dofCoeffsHost", this->basisCardinality_,this->basisCellTopology_.getDimension());

    // for HDIV_QUAD_I1 dofCoeffs are the normals on the quadrilateral edges (with normals magnitude equal to edges' lengths)
    dofCoeffs(0,0)  =  0.0;   dofCoeffs(0,1)  = -2.0;
    dofCoeffs(1,0)  =  2.0;   dofCoeffs(1,1)  =  0.0;
    dofCoeffs(2,0)  =  0.0;   dofCoeffs(2,1)  =  2.0;
    dofCoeffs(3,0)  = -2.0;   dofCoeffs(3,1)  =  0.0;

    this->dofCoeffs_ = Kokkos::create_mirror_view(typename SpT::memory_space(), dofCoeffs);
    Kokkos::deep_copy(this->dofCoeffs_, dofCoeffs);

  }


}// namespace Intrepid2

#endif