Intrepid2_HDIV_TRI_I1_FEMDef.hpp

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// @HEADER
// *****************************************************************************
//                           Intrepid2 Package
//
// Copyright 2007 NTESS and the Intrepid2 contributors.
// SPDX-License-Identifier: BSD-3-Clause
// *****************************************************************************
// @HEADER

#ifndef __INTREPID2_HDIV_TRI_I1_FEM_DEF_HPP__
#define __INTREPID2_HDIV_TRI_I1_FEM_DEF_HPP__

namespace Intrepid2 {

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

    template<EOperator opType>
    template<typename OutputViewType,
             typename inputViewType>
    KOKKOS_INLINE_FUNCTION
    void
    Basis_HDIV_TRI_I1_FEM::Serial<opType>::
    getValues(       OutputViewType output,
               const inputViewType input ) {
      switch (opType) {
      case OPERATOR_VALUE: {
        const auto x = input(0);
        const auto y = input(1);

        // output is a rank-2 array with dimensions (basisCardinality_)
        output.access(0, 0) = 2.0*x;
        output.access(0, 1) = 2.0*(y - 1.0);

        output.access(1, 0) =  2.0*x;
        output.access(1, 1) =  2.0*y;

        output.access(2, 0) =  2.0*(x - 1.0);
        output.access(2, 1) =  2.0*y;
        break;
      }
      case OPERATOR_DIV: {
        // output is a rank-3 array with dimensions (basisCardinality_, spaceDim)
        output.access(0) = 4.0;
        output.access(1) = 4.0;
        output.access(2) = 4.0;
        break;
      }
      default: {
        INTREPID2_TEST_FOR_ABORT( opType != OPERATOR_VALUE &&
                                  opType != OPERATOR_DIV,
                                  ">>> ERROR: (Intrepid2::Basis_HDIV_TRI_I1_FEM::Serial::getValues) operator is not supported");
      }
      }
    }


    template<typename DT,
             typename outputValueValueType, class ...outputValueProperties,
             typename inputPointValueType,  class ...inputPointProperties>
    void
    Basis_HDIV_TRI_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,typename DT::execution_space>::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_TRI_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_TRI_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_TRI_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_TRI_I1_FEM): Invalid operator type");
      }
      }
    }
  }
  // -------------------------------------------------------------------------------------

  template<typename DT, typename OT, typename PT>
  Basis_HDIV_TRI_I1_FEM<DT,OT,PT>::
  Basis_HDIV_TRI_I1_FEM() {
    this->basisCardinality_         = 3;
    this->basisDegree_              = 1;
    constexpr ordinal_type spaceDim = 2;
    this->basisCellTopologyKey_ =     shards::Triangle<3>::key;
    this->basisType_         =        BASIS_FEM_DEFAULT;
    this->basisCoordinates_  =        COORDINATES_CARTESIAN;
    this->functionSpace_     =        FUNCTION_SPACE_HDIV;

    // initialize tags
    {
      // Basis-dependent initializations
      const ordinal_type tagSize  = 4;        // size of DoF tag, i.e., number of fields in the 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 the basis functions, in the order of their local enumeration
      ordinal_type tags[12]  = { 1, 0, 0, 1,
                                 1, 1, 0, 1,
                                 1, 2, 0, 1 };

      // host tags
      OrdinalTypeArray1DHost tagView(&tags[0], 12);

      // Basis-independent function sets tag and enum data in tagToOrdinal_ and ordinalToTag_ arrays:
      //OrdinalTypeArray2DHost ordinalToTag;
      //OrdinalTypeArray3DHost tagToOrdinal;
      this->setOrdinalTagData(this->tagToOrdinal_,
                              this->ordinalToTag_,
                              tagView,
                              this->basisCardinality_,
                              tagSize,
                              posScDim,
                              posScOrd,
                              posDfOrd);

      //this->tagToOrdinal_ = Kokkos::create_mirror_view(typename DT::memory_space(), tagToOrdinal);
      //Kokkos::deep_copy(this->tagToOrdinal_, tagToOrdinal);

      //this->ordinalToTag_ = Kokkos::create_mirror_view(typename DT::memory_space(), ordinalToTag);
      //Kokkos::deep_copy(this->ordinalToTag_, ordinalToTag);
    }

    // dofCoords on host and create its mirror view to device
    Kokkos::DynRankView<typename ScalarViewType::value_type,typename DT::execution_space::array_layout,Kokkos::HostSpace>
      dofCoords("dofCoordsHost", this->basisCardinality_,spaceDim);

    dofCoords(0,0) =  0.5;   dofCoords(0,1) =  0.0;
    dofCoords(1,0) =  0.5;   dofCoords(1,1) =  0.5;
    dofCoords(2,0) =  0.0;   dofCoords(2,1) =  0.5;

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

    // dofCoords on host and create its mirror view to device
    Kokkos::DynRankView<typename ScalarViewType::value_type,typename DT::execution_space::array_layout,Kokkos::HostSpace>
      dofCoeffs("dofCoeffsHost", this->basisCardinality_,spaceDim);

    // dofCoeffs are normals to edges, having magnitude equal to edges' measures
    dofCoeffs(0,0) =  0.0;   dofCoeffs(0,1) = -0.5;
    dofCoeffs(1,0) =  0.5;   dofCoeffs(1,1) =  0.5;
    dofCoeffs(2,0) = -0.5;   dofCoeffs(2,1) =  0.0;

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

  }

  template<typename DT, typename OT, typename PT>
  void 
  Basis_HDIV_TRI_I1_FEM<DT,OT,PT>::getScratchSpaceSize(       
                                    ordinal_type& perTeamSpaceSize,
                                    ordinal_type& perThreadSpaceSize,
                              const PointViewType inputPoints,
                              const EOperator operatorType) const {
    perTeamSpaceSize = 0;
    perThreadSpaceSize = 0;
  }

  template<typename DT, typename OT, typename PT>
  KOKKOS_INLINE_FUNCTION
  void 
  Basis_HDIV_TRI_I1_FEM<DT,OT,PT>::getValues(       
          OutputViewType outputValues,
      const PointViewType  inputPoints,
      const EOperator operatorType,
      const typename Kokkos::TeamPolicy<typename DT::execution_space>::member_type& team_member,
      const typename DT::execution_space::scratch_memory_space & scratchStorage, 
      const ordinal_type subcellDim,
      const ordinal_type subcellOrdinal) const {

      INTREPID2_TEST_FOR_ABORT( !((subcellDim == -1) && (subcellOrdinal == -1)),
        ">>> ERROR: (Intrepid2::Basis_HDIV_TRI_I1_FEM::getValues), The capability of selecting subsets of basis functions has not been implemented yet.");

      (void) scratchStorage; //avoid unused variable warning

      const int numPoints = inputPoints.extent(0);

      switch(operatorType) {
        case OPERATOR_VALUE:
          Kokkos::parallel_for (Kokkos::TeamThreadRange (team_member, numPoints), [=] (ordinal_type& pt) {
            auto       output = Kokkos::subview( outputValues, Kokkos::ALL(), pt, Kokkos::ALL() );
            const auto input  = Kokkos::subview( inputPoints,                 pt, Kokkos::ALL() );
            Impl::Basis_HDIV_TRI_I1_FEM::Serial<OPERATOR_VALUE>::getValues( output, input);
          });
          break;
        case OPERATOR_DIV:
          Kokkos::parallel_for (Kokkos::TeamThreadRange (team_member, numPoints), [=] (ordinal_type& pt) {
            auto       output = Kokkos::subview( outputValues, Kokkos::ALL(), pt, Kokkos::ALL() );
            const auto input  = Kokkos::subview( inputPoints,                 pt, Kokkos::ALL() );
            Impl::Basis_HDIV_TRI_I1_FEM::Serial<OPERATOR_DIV>::getValues( output, input);
          });
          break;
        default: {
          INTREPID2_TEST_FOR_ABORT( true, ">>> ERROR: (Intrepid2::Basis_HDIV_TRI_!1_FEM::getValues), Operator Type not supported.");
        }
    }
  }
  
}// namespace Intrepid2
#endif