Intrepid2_CellToolsDefRefToPhys.hpp

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#ifndef __INTREPID2_CELLTOOLS_DEF_REF_TO_PHYS_HPP__
#define __INTREPID2_CELLTOOLS_DEF_REF_TO_PHYS_HPP__

// disable clang warnings
#if defined (__clang__) && !defined (__INTEL_COMPILER)
#pragma clang system_header
#endif

namespace Intrepid2 {

  //============================================================================================//
  //                                                                                            //
  //                      Reference-to-physical frame mapping and its inverse                   //
  //                                                                                            //
  //============================================================================================//

  namespace FunctorCellTools {
    template<typename physPointViewType,
             typename worksetCellType,
             typename basisValType>
    struct F_mapToPhysicalFrame {
            physPointViewType _physPoints;
      const worksetCellType   _worksetCells;
      const basisValType      _basisVals;

      KOKKOS_INLINE_FUNCTION
      F_mapToPhysicalFrame( physPointViewType physPoints_,
                            worksetCellType   worksetCells_,
                            basisValType      basisVals_ )
        : _physPoints(physPoints_), _worksetCells(worksetCells_), _basisVals(basisVals_) {}

      KOKKOS_INLINE_FUNCTION
      void operator()(const size_type iter) const {
        size_type cell, pt;
        unrollIndex( cell, pt,
                           _physPoints.extent(0),
                           _physPoints.extent(1),
                           iter );
              auto phys = Kokkos::subdynrankview( _physPoints, cell, pt, Kokkos::ALL());
        const auto dofs = Kokkos::subdynrankview( _worksetCells, cell, Kokkos::ALL(), Kokkos::ALL());

        const auto valRank = _basisVals.rank();
        const auto val = ( valRank == 2 ? Kokkos::subdynrankview( _basisVals,       Kokkos::ALL(), pt) :
                                          Kokkos::subdynrankview( _basisVals, cell, Kokkos::ALL(), pt));

        const ordinal_type dim = phys.extent(0);
        const ordinal_type cardinality = val.extent(0);

        for (ordinal_type i=0;i<dim;++i) {
          phys(i) = 0;
          for (ordinal_type bf=0;bf<cardinality;++bf)
            phys(i) += dofs(bf, i)*val(bf);
        }
      }
    };
  }

/*
  template<typename SpT>
  template<typename physPointValueType,   class ...physPointProperties,
           typename refPointValueType,    class ...refPointProperties,
           typename worksetCellValueType, class ...worksetCellProperties>
  void
  CellTools<SpT>::
  mapToPhysicalFrame(       Kokkos::DynRankView<physPointValueType,physPointProperties...>     physPoints,
                      const Kokkos::DynRankView<refPointValueType,refPointProperties...>       refPoints,
                      const Kokkos::DynRankView<worksetCellValueType,worksetCellProperties...> worksetCell,
                      const shards::CellTopology cellTopo ) {

   auto basis = createHGradBasis<refPointValueType,refPointValueType>(cellTopo);
   mapToPhysicalFrame(physPoints,
                      refPoints,
                      worksetCell,
                      basis);
  }
*/

  template<typename SpT>
  template<typename physPointValueType,   class ...physPointProperties,
           typename refPointValueType,    class ...refPointProperties,
           typename worksetCellValueType, class ...worksetCellProperties,
           typename HGradBasisPtrType>
  void
  CellTools<SpT>::
  mapToPhysicalFrame(       Kokkos::DynRankView<physPointValueType,physPointProperties...>     physPoints,
                      const Kokkos::DynRankView<refPointValueType,refPointProperties...>       refPoints,
                      const Kokkos::DynRankView<worksetCellValueType,worksetCellProperties...> worksetCell,
                      const HGradBasisPtrType basis ) {
#ifdef HAVE_INTREPID2_DEBUG
    CellTools_mapToPhysicalFrameArgs( physPoints, refPoints, worksetCell, basis->getBaseCellTopology() );
#endif
    const auto cellTopo = basis->getBaseCellTopology();
    const auto numCells = worksetCell.extent(0);

    //points can be rank-2 (P,D), or rank-3 (C,P,D)
    const auto refPointRank = refPoints.rank();
    const auto numPoints = (refPointRank == 2 ? refPoints.extent(0) : refPoints.extent(1));
    const auto basisCardinality = basis->getCardinality();
    auto vcprop = Kokkos::common_view_alloc_prop(physPoints);

    typedef Kokkos::DynRankView<physPointValueType,physPointProperties...> physPointViewType;
    typedef Kokkos::DynRankView<decltype(basis->getDummyOutputValue()),SpT> valViewType;

    valViewType vals;

    switch (refPointRank) {
    case 2: {
      // refPoints is (P,D): single set of ref. points is mapped to one or multiple physical cells
      vals = valViewType(Kokkos::view_alloc("CellTools::mapToPhysicalFrame::vals", vcprop), basisCardinality, numPoints);
      basis->getValues(vals,
                       refPoints,
                       OPERATOR_VALUE);
      break;
    }
    case 3: {
      // refPoints is (C,P,D): multiple sets of ref. points are mapped to matching number of physical cells.
      //vals = valViewType("CellTools::mapToPhysicalFrame::vals", numCells, basisCardinality, numPoints);
      vals = valViewType(Kokkos::view_alloc("CellTools::mapToPhysicalFrame::vals", vcprop), numCells, basisCardinality, numPoints);
      for (size_type cell=0;cell<numCells;++cell)
        basis->getValues(Kokkos::subdynrankview( vals,      cell, Kokkos::ALL(), Kokkos::ALL() ),
                         Kokkos::subdynrankview( refPoints, cell, Kokkos::ALL(), Kokkos::ALL() ),
                         OPERATOR_VALUE);
      break;
    }
    }

    typedef Kokkos::DynRankView<worksetCellValueType,worksetCellProperties...> worksetCellViewType;
    typedef FunctorCellTools::F_mapToPhysicalFrame<physPointViewType,worksetCellViewType,valViewType> FunctorType;
    typedef typename ExecSpace<typename worksetCellViewType::execution_space,SpT>::ExecSpaceType ExecSpaceType;

    const auto loopSize = physPoints.extent(0)*physPoints.extent(1);
    Kokkos::RangePolicy<ExecSpaceType,Kokkos::Schedule<Kokkos::Static> > policy(0, loopSize);
    Kokkos::parallel_for( policy, FunctorType(physPoints, worksetCell, vals) );
  }

  template<typename SpT>
  template<typename refSubcellPointValueType, class ...refSubcellPointProperties,
           typename paramPointValueType, class ...paramPointProperties>
  void
  CellTools<SpT>::
  mapToReferenceSubcell(       Kokkos::DynRankView<refSubcellPointValueType,refSubcellPointProperties...> refSubcellPoints,
                         const Kokkos::DynRankView<paramPointValueType,paramPointProperties...>           paramPoints,
                         const ordinal_type subcellDim,
                         const ordinal_type subcellOrd,
                         const shards::CellTopology parentCell ) {
#ifdef HAVE_INTREPID2_DEBUG
    INTREPID2_TEST_FOR_EXCEPTION( !hasReferenceCell(parentCell), std::invalid_argument,
                                  ">>> ERROR (Intrepid2::CellTools::mapToReferenceSubcell): the specified cell topology does not have a reference cell.");

    INTREPID2_TEST_FOR_EXCEPTION( subcellDim != 1 &&
                                  subcellDim != 2, std::invalid_argument,
                                  ">>> ERROR (Intrepid2::CellTools::mapToReferenceSubcell): method defined only for 1 and 2-dimensional subcells.");

    INTREPID2_TEST_FOR_EXCEPTION( subcellOrd <  0 ||
                                  subcellOrd >= static_cast<ordinal_type>(parentCell.getSubcellCount(subcellDim)), std::invalid_argument,
                                  ">>> ERROR (Intrepid2::CellTools::mapToReferenceSubcell): subcell ordinal out of range.");

    // refSubcellPoints is rank-2 (P,D1), D1 = cell dimension
    INTREPID2_TEST_FOR_EXCEPTION( refSubcellPoints.rank() != 2, std::invalid_argument,
                                  ">>> ERROR (Intrepid2::CellTools::mapToReferenceSubcell): refSubcellPoints must have rank 2.");
    INTREPID2_TEST_FOR_EXCEPTION( refSubcellPoints.extent(1) != parentCell.getDimension(), std::invalid_argument,
                                  ">>> ERROR (Intrepid2::CellTools::mapToReferenceSubcell): refSubcellPoints dimension (1) does not match to parent cell dimension.");

    // paramPoints is rank-2 (P,D2) with D2 = subcell dimension
    INTREPID2_TEST_FOR_EXCEPTION( paramPoints.rank() != 2, std::invalid_argument,
                                  ">>> ERROR (Intrepid2::CellTools::mapToReferenceSubcell): paramPoints must have rank 2.");
    INTREPID2_TEST_FOR_EXCEPTION( static_cast<ordinal_type>(paramPoints.extent(1)) != subcellDim, std::invalid_argument,
                                  ">>> ERROR (Intrepid2::CellTools::mapToReferenceSubcell): paramPoints dimension (1) does not match to subcell dimension.");

    // cross check: refSubcellPoints and paramPoints: dimension 0 must match
    INTREPID2_TEST_FOR_EXCEPTION( refSubcellPoints.extent(0) < paramPoints.extent(0), std::invalid_argument,
                                  ">>> ERROR (Intrepid2::CellTools::mapToReferenceSubcell): refSubcellPoints dimension (0) does not match to paramPoints dimension(0).");
#endif

    if(!isSubcellParametrizationSet_)
      setSubcellParametrization();

    INTREPID2_TEST_FOR_EXCEPTION( subcellDim != 1 &&
                                  subcellDim != 2, std::invalid_argument,
                                  ">>> ERROR (Intrepid2::CellTools::mapToReferenceSubcell): method defined only for 1 and 2-subcells");


    // Get the subcell map, i.e., the coefficients of the parametrization function for the subcell
    subcellParamViewType subcellMap;
    getSubcellParametrization( subcellMap,
                               subcellDim,
                               parentCell );

    // Apply the parametrization map to every point in parameter domain
    mapToReferenceSubcell( refSubcellPoints, paramPoints, subcellMap, subcellDim, subcellOrd, parentCell.getDimension());
  }


  template<typename SpT>
  template<typename refSubcellPointValueType, class ...refSubcellPointProperties,
           typename paramPointValueType, class ...paramPointProperties>
  void
  KOKKOS_INLINE_FUNCTION
  CellTools<SpT>::
  mapToReferenceSubcell(       Kokkos::DynRankView<refSubcellPointValueType,refSubcellPointProperties...> refSubcellPoints,
                         const Kokkos::DynRankView<paramPointValueType,paramPointProperties...>           paramPoints,
                         const subcellParamViewType subcellMap,
                         const ordinal_type subcellDim,
                         const ordinal_type subcellOrd,
                         const ordinal_type parentCellDim ) {

    const ordinal_type numPts  = paramPoints.extent(0);

    // Apply the parametrization map to every point in parameter domain
    switch (subcellDim) {
    case 2: {
      for (ordinal_type pt=0;pt<numPts;++pt) {
        const auto u = paramPoints(pt, 0);
        const auto v = paramPoints(pt, 1);

        // map_dim(u,v) = c_0(dim) + c_1(dim)*u + c_2(dim)*v because both Quad and Tri ref faces are affine!
        for (ordinal_type i=0;i<parentCellDim;++i)
          refSubcellPoints(pt, i) = subcellMap(subcellOrd, i, 0) + ( subcellMap(subcellOrd, i, 1)*u +
                                                                     subcellMap(subcellOrd, i, 2)*v );
      }
      break;
    }
    case 1: {
      for (ordinal_type pt=0;pt<numPts;++pt) {
        const auto u = paramPoints(pt, 0);
        for (ordinal_type i=0;i<parentCellDim;++i)
          refSubcellPoints(pt, i) = subcellMap(subcellOrd, i, 0) + ( subcellMap(subcellOrd, i, 1)*u );
      }
      break;
    }
    default: {}
    }
  }
}

#endif