Intrepid2_HDIV_TRI_In_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_IN_FEM_DEF_HPP__
#define __INTREPID2_HDIV_TRI_IN_FEM_DEF_HPP__
 
#include "Intrepid2_HGRAD_TRI_Cn_FEM_ORTH.hpp"
#include "Intrepid2_CubatureDirectTriSymmetric.hpp"
 
namespace Intrepid2 {
 
// -------------------------------------------------------------------------------------
namespace Impl {
 
template<EOperator OpType>
template<typename OutputViewType,
typename InputViewType,
typename WorkViewType,
typename VinvViewType>
KOKKOS_INLINE_FUNCTION
void
Basis_HDIV_TRI_In_FEM::Serial<OpType>::
getValues(      OutputViewType  output,
            const InputViewType input,
                WorkViewType    work,
            const VinvViewType  coeffs ) {
 
  constexpr ordinal_type spaceDim = 2;
  const ordinal_type
  cardPn = coeffs.extent(0)/spaceDim,
  card = coeffs.extent(1),
  npts = input.extent(0);
 
  // compute order
  ordinal_type order = 0;
  for (ordinal_type p=0;p<=Parameters::MaxOrder;++p) {
    if (card == CardinalityHDivTri(p)) {
      order = p;
      break;
    }
  }
 
  typedef typename Kokkos::DynRankView<typename InputViewType::value_type, typename WorkViewType::memory_space> ViewType;
  auto ptr = work.data();
 
  switch (OpType) {
  case OPERATOR_VALUE: {
    const ViewType phis = createMatchingUnmanagedView<ViewType>(input, ptr, card, npts);
    ViewType dummyView;
 
    Impl::Basis_HGRAD_TRI_Cn_FEM_ORTH::
    Serial<OpType>::getValues(phis, input, dummyView, order);
 
    for (ordinal_type i=0;i<card;++i)
      for (ordinal_type j=0;j<npts;++j)
        for (ordinal_type d=0;d<spaceDim;++d) {
          output.access(i,j,d) = 0.0;
          for (ordinal_type k=0;k<cardPn;++k)
            output.access(i,j,d) += coeffs(k+d*cardPn,i) * phis.access(k,j);
        }
    break;
  }
  case OPERATOR_DIV: {
    const ViewType phis = createMatchingUnmanagedView<ViewType>(input, ptr, card, npts, spaceDim);
    ptr += card*npts*spaceDim*get_dimension_scalar(work);
    const ViewType workView = createMatchingUnmanagedView<ViewType>(input, ptr, card, npts, spaceDim+1);
 
    Impl::Basis_HGRAD_TRI_Cn_FEM_ORTH::
    Serial<OPERATOR_GRAD>::getValues(phis, input, workView, order);
 
    for (ordinal_type i=0;i<card;++i)
      for (ordinal_type j=0;j<npts;++j) {
        output.access(i,j) = 0.0;
        for (ordinal_type k=0; k<cardPn; ++k)
          for (ordinal_type d=0; d<spaceDim; ++d)
            output.access(i,j) += coeffs(k+d*cardPn,i)*phis.access(k,j,d);
      }
    break;
  }
  default: {
    INTREPID2_TEST_FOR_ABORT( true,
        ">>> ERROR (Basis_HDIV_TRI_In_FEM): Operator type not implemented");
  }
  }
}
 
template<typename DT, ordinal_type numPtsPerEval,
typename outputValueValueType, class ...outputValueProperties,
typename inputPointValueType,  class ...inputPointProperties,
typename vinvValueType,        class ...vinvProperties>
void
Basis_HDIV_TRI_In_FEM::
getValues( /* */ Kokkos::DynRankView<outputValueValueType,outputValueProperties...> outputValues,
    const Kokkos::DynRankView<inputPointValueType, inputPointProperties...>  inputPoints,
    const Kokkos::DynRankView<vinvValueType,       vinvProperties...>        coeffs,
    const EOperator operatorType) {
  typedef          Kokkos::DynRankView<outputValueValueType,outputValueProperties...>         outputValueViewType;
  typedef          Kokkos::DynRankView<inputPointValueType, inputPointProperties...>          inputPointViewType;
  typedef          Kokkos::DynRankView<vinvValueType,       vinvProperties...>                vinvViewType;
  typedef typename ExecSpace<typename inputPointViewType::execution_space,typename DT::execution_space>::ExecSpaceType ExecSpaceType;
 
  // loopSize corresponds to cardinality
  const auto loopSizeTmp1 = (inputPoints.extent(0)/numPtsPerEval);
  const auto loopSizeTmp2 = (inputPoints.extent(0)%numPtsPerEval != 0);
  const auto loopSize = loopSizeTmp1 + loopSizeTmp2;
  Kokkos::RangePolicy<ExecSpaceType,Kokkos::Schedule<Kokkos::Static> > policy(0, loopSize);
 
  const ordinal_type cardinality = outputValues.extent(0);
  const ordinal_type spaceDim = 2;
 
  switch (operatorType) {
  case OPERATOR_VALUE: {
    auto work = createMatchingDynRankView(inputPoints, "Basis_HDIV_TRI_In_FEM::getValues::work", cardinality, inputPoints.extent(0));
    typedef Functor<outputValueViewType,inputPointViewType,vinvViewType, decltype(work),
        OPERATOR_VALUE,numPtsPerEval> FunctorType;
    Kokkos::parallel_for( policy, FunctorType(outputValues, inputPoints, coeffs, work) );
    break;
  }
  case OPERATOR_DIV: {
    auto work = createMatchingDynRankView(inputPoints, "Basis_HDIV_TRI_In_FEM::getValues::work", cardinality*(2*spaceDim+1), inputPoints.extent(0));
    typedef Functor<outputValueViewType,inputPointViewType,vinvViewType, decltype(work),
        OPERATOR_DIV,numPtsPerEval> FunctorType;
    Kokkos::parallel_for( policy, FunctorType(outputValues, inputPoints, coeffs, work) );
    break;
  }
  default: {
    INTREPID2_TEST_FOR_EXCEPTION( true , std::invalid_argument,
        ">>> ERROR (Basis_HDIV_TRI_In_FEM): Operator type not implemented" );
  }
  }
}
}
 
// -------------------------------------------------------------------------------------
template<typename DT, typename OT, typename PT>
Basis_HDIV_TRI_In_FEM<DT,OT,PT>::
Basis_HDIV_TRI_In_FEM( const ordinal_type order,
    const EPointType   pointType ) {
  // Note: the only reason why equispaced can't support higher order than Parameters::MaxOrder appears to be the fact that the tags below get stored into a fixed-length array.
  // TODO: relax the maximum order requirement by setting up tags in a different container, perhaps directly into an OrdinalTypeArray1DHost (tagView, below).  (As of this writing (1/25/22), looks like other nodal bases do this in a similar way -- those should be fixed at the same time; maybe search for Parameters::MaxOrder.)
  INTREPID2_TEST_FOR_EXCEPTION( order > Parameters::MaxOrder, std::invalid_argument, "polynomial order exceeds the max supported by this class");
 
  constexpr ordinal_type spaceDim = 2;
  this->basisCardinality_     = CardinalityHDivTri(order);
  this->basisDegree_          = order; // small n
  this->basisCellTopologyKey_ = shards::Triangle<3>::key;
  this->basisType_            = BASIS_FEM_LAGRANGIAN;
  this->basisCoordinates_     = COORDINATES_CARTESIAN;
  this->functionSpace_        = FUNCTION_SPACE_HDIV;
  pointType_ = (pointType == POINTTYPE_DEFAULT) ? POINTTYPE_EQUISPACED : pointType;
 
  const ordinal_type card = this->basisCardinality_;
 
  const ordinal_type  cardPn = Intrepid2::getPnCardinality<spaceDim>(order); // dim of (P_{n}) -- smaller space
  const ordinal_type  cardPnm1 = Intrepid2::getPnCardinality<spaceDim>(order-1);  // dim of (P_{n-1}) -- smaller space
  const ordinal_type  cardPnm2 = Intrepid2::getPnCardinality<spaceDim>(order-2); // dim of (P_{n-2}) -- smaller space
  const ordinal_type  cardVecPn = spaceDim*cardPn;  // dim of (P_{n})^2 -- larger space
  const ordinal_type  cardVecPnm1 = spaceDim*cardPnm1;   // dim of (P_{n-1})^2 -- smaller space
 
 
  // Basis-dependent initializations
  constexpr ordinal_type tagSize  = 4;        // size of DoF tag, i.e., number of fields in the tag
  constexpr ordinal_type maxCard = CardinalityHDivTri(Parameters::MaxOrder);
  ordinal_type tags[maxCard][tagSize];
 
  // points are computed in the host and will be copied
  Kokkos::DynRankView<scalarType,typename DT::execution_space::array_layout,Kokkos::HostSpace>
  dofCoords("Hdiv::Tri::In::dofCoords", card, spaceDim);
 
  Kokkos::DynRankView<scalarType,typename DT::execution_space::array_layout,Kokkos::HostSpace>
  dofCoeffs("Hdiv::Tri::In::dofCoeffs", card, spaceDim);
 
  Kokkos::DynRankView<scalarType,typename DT::execution_space::array_layout,Kokkos::HostSpace>
  coeffs("Hdiv::Tri::In::coeffs", cardVecPn, card);
 
  // first, need to project the basis for RT space onto the
  // orthogonal basis of degree n
  // get coefficients of PkHx
 
  const ordinal_type lwork = card*card;
  Kokkos::DynRankView<scalarType,typename DT::execution_space::array_layout,Kokkos::HostSpace>
  V1("Hdiv::Tri::In::V1", cardVecPn, card);
 
  // basis for the space is
  // { (phi_i,0) }_{i=0}^{cardPnm1-1} ,
  // { (0,phi_i) }_{i=0}^{cardPnm1-1} ,
  // { (x,y) . phi_i}_{i=cardPnm2}^{cardPnm1-1}
  // columns of V1 are expansion of this basis in terms of the basis
  // for P_{n}^2
 
  // these two loops get the first two sets of basis functions
  for (ordinal_type i=0;i<cardPnm1;i++) {
    V1(i,i) = 1.0;
    V1(cardPn+i,cardPnm1+i) = 1.0;
  }
 
  // now I need to integrate { (x,y) phi } against the big basis
  // first, get a cubature rule.
  CubatureDirectTriSymmetric<Kokkos::HostSpace::execution_space,scalarType,scalarType> myCub( 2 * order );
  Kokkos::DynRankView<scalarType,typename DT::execution_space::array_layout,Kokkos::HostSpace> cubPoints("Hdiv::Tri::In::cubPoints", myCub.getNumPoints() , spaceDim );
  Kokkos::DynRankView<scalarType,typename DT::execution_space::array_layout,Kokkos::HostSpace> cubWeights("Hdiv::Tri::In::cubWeights", myCub.getNumPoints() );
  myCub.getCubature( cubPoints , cubWeights );
 
  // tabulate the scalar orthonormal basis at cubature points
  Kokkos::DynRankView<scalarType,typename DT::execution_space::array_layout,Kokkos::HostSpace> phisAtCubPoints("Hdiv::Tri::In::phisAtCubPoints", cardPn , myCub.getNumPoints() );
  Impl::Basis_HGRAD_TRI_Cn_FEM_ORTH::getValues<Kokkos::HostSpace::execution_space,Parameters::MaxNumPtsPerBasisEval>(typename Kokkos::HostSpace::execution_space{},
                                                                                                                     phisAtCubPoints,
                                                                                                                     cubPoints,
                                                                                                                     order,
                                                                                                                     OPERATOR_VALUE);
 
  // now do the integration
  for (ordinal_type i=0;i<order;i++) {
    for (ordinal_type j=0;j<cardPn;j++) { // int (x,y) phi_i \cdot (phi_j,phi_{j+cardPn})
      V1(j,cardVecPnm1+i) = 0.0;
      for (ordinal_type d=0; d< spaceDim; ++d)
        for (ordinal_type k=0;k<myCub.getNumPoints();k++) {
          V1(j+d*cardPn,cardVecPnm1+i) +=
              cubWeights(k) * cubPoints(k,d)
              * phisAtCubPoints(cardPnm2+i,k)
              * phisAtCubPoints(j,k);
        }
    }
  }
 
  // next, apply the RT nodes (rows) to the basis for (P_n)^2 (columns)
  Kokkos::DynRankView<scalarType,typename DT::execution_space::array_layout,Kokkos::HostSpace>
  V2("Hdiv::Tri::In::V2", card ,cardVecPn);
 
  const shards::CellTopology cellTopo(shards::getCellTopologyData<shards::Triangle<3>>());
  const ordinal_type numEdges = cellTopo.getEdgeCount();
  shards::CellTopology edgeTopo(shards::getCellTopologyData<shards::Line<2> >() );
 
  const int numPtsPerEdge = PointTools::getLatticeSize( edgeTopo ,
      order+1 ,
      1 );
 
  // first numEdges * degree nodes are normals at each edge
  // get the points on the line
  Kokkos::DynRankView<scalarType,typename DT::execution_space::array_layout,Kokkos::HostSpace> linePts("Hdiv::Tri::In::linePts", numPtsPerEdge , 1 );
 
  // construct lattice
  const ordinal_type offset = 1;
  PointTools::getLattice( linePts,
      edgeTopo,
      order+1, offset,
      pointType_ );
 
  // holds the image of the line points
  Kokkos::DynRankView<scalarType,typename DT::execution_space::array_layout,Kokkos::HostSpace> edgePts("Hdiv::Tri::In::edgePts", numPtsPerEdge , spaceDim );
  Kokkos::DynRankView<scalarType,typename DT::execution_space::array_layout,Kokkos::HostSpace> phisAtEdgePoints("Hdiv::Tri::In::phisAtEdgePoints", cardPn , numPtsPerEdge );
  Kokkos::DynRankView<scalarType,typename DT::execution_space::array_layout,Kokkos::HostSpace> edgeNormal("Hcurl::Tri::In::edgeNormal", spaceDim );
 
  // these are normal scaled by the appropriate edge lengths.
  for (ordinal_type edge=0;edge<numEdges;edge++) {  // loop over edges
    CellTools<Kokkos::HostSpace>::getReferenceSideNormal( edgeNormal ,
        edge ,
        cellTopo);
 
    CellTools<Kokkos::HostSpace>::mapToReferenceSubcell( edgePts ,
        linePts ,
        1 ,
        edge ,
        cellTopo );
 
    Impl::Basis_HGRAD_TRI_Cn_FEM_ORTH::getValues<Kokkos::HostSpace::execution_space,Parameters::MaxNumPtsPerBasisEval>(typename Kokkos::HostSpace::execution_space{},
                                                                                                                       phisAtEdgePoints,
                                                                                                                       edgePts,
                                                                                                                       order,
                                                                                                                       OPERATOR_VALUE);
 
    // loop over points (rows of V2)
    for (ordinal_type j=0;j<numPtsPerEdge;j++) {
 
      const ordinal_type i_card = numPtsPerEdge*edge+j;
 
      // loop over orthonormal basis functions (columns of V2)
      for (ordinal_type k=0;k<cardPn;k++) {
        // loop over space dimension
        for (ordinal_type l=0; l<spaceDim; l++)
          V2(i_card,k+l*cardPn) = edgeNormal(l) * phisAtEdgePoints(k,j);
      }
 
 
      //save dof coordinates and coefficients
      for(ordinal_type l=0; l<spaceDim; ++l) {
        dofCoords(i_card,l) = edgePts(j,l);
        dofCoeffs(i_card,l) = edgeNormal(l);
      }
 
      tags[i_card][0] = 1; // edge dof
      tags[i_card][1] = edge; // edge id
      tags[i_card][2] = j; // local dof id
      tags[i_card][3] = numPtsPerEdge; // total vert dof
 
    }
 
 
  }
 
  // remaining nodes are divided into two pieces:  point value of x
  // components and point values of y components.  These are
  // evaluated at the interior of a lattice of degree + 1, For then
  // the degree == 1 space corresponds classicaly to RT0 and so gets
  // no internal nodes, and degree == 2 corresponds to RT1 and needs
  // one internal node per vector component.
  const ordinal_type numPtsPerCell = PointTools::getLatticeSize( cellTopo ,
      order + 1 ,
      1 );
 
  if (numPtsPerCell > 0) {
    Kokkos::DynRankView<scalarType,typename DT::execution_space::array_layout,Kokkos::HostSpace>
    internalPoints( "Hdiv::Tri::In::internalPoints", numPtsPerCell , spaceDim );
    PointTools::getLattice( internalPoints ,
        cellTopo ,
        order + 1 ,
        1 ,
        pointType_ );
 
    Kokkos::DynRankView<scalarType,typename DT::execution_space::array_layout,Kokkos::HostSpace>
    phisAtInternalPoints("Hdiv::Tri::In::phisAtInternalPoints", cardPn , numPtsPerCell );
    Impl::Basis_HGRAD_TRI_Cn_FEM_ORTH::getValues<Kokkos::HostSpace::execution_space,Parameters::MaxNumPtsPerBasisEval>(typename Kokkos::HostSpace::execution_space{},
                                                                                                                       phisAtInternalPoints,
                                                                                                                       internalPoints,
                                                                                                                       order,
                                                                                                                       OPERATOR_VALUE);
 
    // copy values into right positions of V2
    for (ordinal_type j=0;j<numPtsPerCell;j++) {
 
      const ordinal_type i_card = numEdges*order+spaceDim*j;
 
      for (ordinal_type k=0;k<cardPn;k++) {
        for (ordinal_type l=0;l<spaceDim;l++) {
          V2(i_card+l,l*cardPn+k) = phisAtInternalPoints(k,j);
        }
      }
 
      //save dof coordinates and coefficients
      for(ordinal_type d=0; d<spaceDim; ++d) {
        for(ordinal_type l=0; l<spaceDim; ++l) {
          dofCoords(i_card+d,l) = internalPoints(j,l);
          dofCoeffs(i_card+d,l) = (l==d);
        }
 
        tags[i_card+d][0] = spaceDim; // elem dof
        tags[i_card+d][1] = 0; // elem id
        tags[i_card+d][2] = spaceDim*j+d; // local dof id
        tags[i_card+d][3] = spaceDim*numPtsPerCell; // total vert dof
      }
    }
  }
 
  // form Vandermonde matrix.  Actually, this is the transpose of the VDM,
  // so we transpose on copy below.
  Kokkos::DynRankView<scalarType,Kokkos::LayoutLeft,Kokkos::HostSpace>
  vmat("Hdiv::Tri::In::vmat", card, card),
  work("Hdiv::Tri::In::work", lwork),
  ipiv("Hdiv::Tri::In::ipiv", card);
 
  //vmat' = V2*V1;
  for(ordinal_type i=0; i< card; ++i) {
    for(ordinal_type j=0; j< card; ++j) {
      scalarType s=0;
      for(ordinal_type k=0; k< cardVecPn; ++k)
        s += V2(i,k)*V1(k,j);
      vmat(i,j) = s;
    }
  }
 
  ordinal_type info = 0;
  Teuchos::LAPACK<ordinal_type,scalarType> lapack;
 
  lapack.GETRF(card, card,
      vmat.data(), vmat.stride(1),
      (ordinal_type*)ipiv.data(),
      &info);
 
  INTREPID2_TEST_FOR_EXCEPTION( info != 0,
      std::runtime_error ,
      ">>> ERROR: (Intrepid2::Basis_HDIV_TRI_In_FEM) lapack.GETRF returns nonzero info." );
 
  lapack.GETRI(card,
      vmat.data(), vmat.stride(1),
      (ordinal_type*)ipiv.data(),
      work.data(), lwork,
      &info);
 
  INTREPID2_TEST_FOR_EXCEPTION( info != 0,
      std::runtime_error ,
      ">>> ERROR: (Intrepid2::Basis_HDIV_TRI_In_FEM) lapack.GETRI returns nonzero info." );
 
  for (ordinal_type i=0;i<cardVecPn;++i)
    for (ordinal_type j=0;j<card;++j){
      scalarType s=0;
      for(ordinal_type k=0; k< card; ++k)
        s += V1(i,k)*vmat(k,j);
      coeffs(i,j) = s;
    }
 
  this->coeffs_ = Kokkos::create_mirror_view(typename DT::memory_space(), coeffs);
  Kokkos::deep_copy(this->coeffs_ , coeffs);
 
  this->dofCoords_ = Kokkos::create_mirror_view(typename DT::memory_space(), dofCoords);
  Kokkos::deep_copy(this->dofCoords_, dofCoords);
 
  this->dofCoeffs_ = Kokkos::create_mirror_view(typename DT::memory_space(), dofCoeffs);
  Kokkos::deep_copy(this->dofCoeffs_, dofCoeffs);
 
 
  // set tags
  {
    // Basis-dependent initializations
    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
 
    OrdinalTypeArray1DHost tagView(&tags[0][0], card*tagSize);
 
    // Basis-independent function sets tag and enum data in tagToOrdinal_ and ordinalToTag_ arrays:
    // tags are constructed on host
    this->setOrdinalTagData(this->tagToOrdinal_,
        this->ordinalToTag_,
        tagView,
        this->basisCardinality_,
        tagSize,
        posScDim,
        posScOrd,
        posDfOrd);
  }
}
 
  template<typename DT, typename OT, typename PT>
  void 
  Basis_HDIV_TRI_In_FEM<DT,OT,PT>::getScratchSpaceSize(       
                                    ordinal_type& perTeamSpaceSize,
                                    ordinal_type& perThreadSpaceSize,
                              const PointViewType inputPoints,
                              const EOperator operatorType) const {
    perTeamSpaceSize = 0;
    ordinal_type scalarWorkViewExtent = (operatorType == OPERATOR_VALUE) ? this->basisCardinality_ : 5*this->basisCardinality_;
    perThreadSpaceSize = scalarWorkViewExtent*get_dimension_scalar(inputPoints)*sizeof(scalarType);
  }
 
  template<typename DT, typename OT, typename PT>
  KOKKOS_INLINE_FUNCTION
  void 
  Basis_HDIV_TRI_In_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_In_FEM::getValues), The capability of selecting subsets of basis functions has not been implemented yet.");
 
      const int numPoints = inputPoints.extent(0);
      using WorkViewType = Kokkos::DynRankView< scalarType, typename DT::execution_space::scratch_memory_space,Kokkos::MemoryTraits<Kokkos::Unmanaged> >;
      ordinal_type scalarSizePerPoint = (operatorType == OPERATOR_VALUE) ? this->basisCardinality_ : 5*this->basisCardinality_;
      ordinal_type sizePerPoint = scalarSizePerPoint*get_dimension_scalar(inputPoints);
      WorkViewType workView(scratchStorage, sizePerPoint*team_member.team_size());
      using range_type = Kokkos::pair<ordinal_type,ordinal_type>;
 
      switch(operatorType) {
        case OPERATOR_VALUE:
          Kokkos::parallel_for (Kokkos::TeamThreadRange (team_member, numPoints), [=, &coeffs_ = this->coeffs_] (ordinal_type& pt) {
            auto       output = Kokkos::subview( outputValues, Kokkos::ALL(), range_type  (pt,pt+1), Kokkos::ALL() );
            const auto input  = Kokkos::subview( inputPoints,                 range_type(pt, pt+1), Kokkos::ALL() );
            WorkViewType  work(workView.data() + sizePerPoint*team_member.team_rank(), sizePerPoint);
            Impl::Basis_HDIV_TRI_In_FEM::Serial<OPERATOR_VALUE>::getValues( output, input, work, coeffs_ );
          });
          break;
          case OPERATOR_DIV:
          Kokkos::parallel_for (Kokkos::TeamThreadRange (team_member, numPoints), [=, &coeffs_ = this->coeffs_] (ordinal_type& pt) {
            auto       output = Kokkos::subview( outputValues, Kokkos::ALL(), range_type(pt,pt+1), Kokkos::ALL() );
            const auto input  = Kokkos::subview( inputPoints,                 range_type(pt,pt+1), Kokkos::ALL() );
            WorkViewType  work(workView.data() + sizePerPoint*team_member.team_rank(), sizePerPoint);
            Impl::Basis_HDIV_TRI_In_FEM::Serial<OPERATOR_DIV>::getValues( output, input, work, coeffs_ );
          });
          break;
        default: {          
          INTREPID2_TEST_FOR_ABORT( true,
            ">>> ERROR (Basis_HDIV_TRI_In_FEM): getValues not implemented for this operator");
          }
    }
  }
 
} // namespace Intrepid2
 
#endif