Intrepid_HGRAD_TRI_C1_FEMDef.hpp

#ifndef INTREPID_HGRAD_TRI_C1_FEMDEF_HPP
#define INTREPID_HGRAD_TRI_C1_FEMDEF_HPP
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namespace Intrepid {
  
  
template<class Scalar, class ArrayScalar>
Basis_HGRAD_TRI_C1_FEM<Scalar,ArrayScalar>::Basis_HGRAD_TRI_C1_FEM()
  {
    this -> basisCardinality_  = 3;
    this -> basisDegree_       = 1;    
    this -> basisCellTopology_ = shards::CellTopology(shards::getCellTopologyData<shards::Triangle<3> >() );
    this -> basisType_         = BASIS_FEM_DEFAULT;
    this -> basisCoordinates_  = COORDINATES_CARTESIAN;
    this -> basisTagsAreSet_   = false;
  }
  
  
  
template<class Scalar, class ArrayScalar>
void Basis_HGRAD_TRI_C1_FEM<Scalar, ArrayScalar>::initializeTags() {
  
  // Basis-dependent initializations
  int tagSize  = 4;        // size of DoF tag, i.e., number of fields in the tag
  int posScDim = 0;        // position in the tag, counting from 0, of the subcell dim 
  int posScOrd = 1;        // position in the tag, counting from 0, of the subcell ordinal
  int 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 
  int tags[]  = { 0, 0, 0, 1,
                  0, 1, 0, 1,
                  0, 2, 0, 1 };
  
  // Basis-independent function sets tag and enum data in tagToOrdinal_ and ordinalToTag_ arrays:
  Intrepid::setOrdinalTagData(this -> tagToOrdinal_,
                              this -> ordinalToTag_,
                              tags,
                              this -> basisCardinality_,
                              tagSize,
                              posScDim,
                              posScOrd,
                              posDfOrd);
}  



template<class Scalar, class ArrayScalar> 
void Basis_HGRAD_TRI_C1_FEM<Scalar, ArrayScalar>::getValues(ArrayScalar &        outputValues,
                                                            const ArrayScalar &  inputPoints,
                                                            const EOperator      operatorType) const {
  
  // Verify arguments
#ifdef HAVE_INTREPID_DEBUG
  Intrepid::getValues_HGRAD_Args<Scalar, ArrayScalar>(outputValues,
                                                      inputPoints,
                                                      operatorType,
                                                      this -> getBaseCellTopology(),
                                                      this -> getCardinality() );
#endif
  
  // Number of evaluation points = dim 0 of inputPoints
  int dim0 = inputPoints.dimension(0);  
  
  // Temporaries: (x,y) coordinates of the evaluation point
  Scalar x = 0.0;                                    
  Scalar y = 0.0;   
  
  switch (operatorType) {
    
    case OPERATOR_VALUE:
      for (int i0 = 0; i0 < dim0; i0++) {
        x = inputPoints(i0, 0);
        y = inputPoints(i0, 1);
          
        // outputValues is a rank-2 array with dimensions (basisCardinality_, dim0)
        outputValues(0, i0) = 1.0 - x - y;
        outputValues(1, i0) = x;
        outputValues(2, i0) = y;
      }
      break;

    case OPERATOR_GRAD:
    case OPERATOR_D1:
      for (int i0 = 0; i0 < dim0; i0++) {

        // outputValues is a rank-3 array with dimensions (basisCardinality_, dim0, spaceDim)
        outputValues(0, i0, 0) = -1.0;
        outputValues(0, i0, 1) = -1.0;

        outputValues(1, i0, 0) =  1.0;
        outputValues(1, i0, 1) =  0.0;

        outputValues(2, i0, 0) =  0.0;
        outputValues(2, i0, 1) =  1.0;
      }
      break;

    case OPERATOR_CURL:
      for (int i0 = 0; i0 < dim0; i0++) {
        outputValues(0, i0, 0) = -1.0;
        outputValues(0, i0, 1) =  1.0;
          
        outputValues(1, i0, 0) =  0.0;
        outputValues(1, i0, 1) = -1.0;
          
        outputValues(2, i0, 0) =  1.0;
        outputValues(2, i0, 1) =  0.0;
      }
      break;

    case OPERATOR_DIV:
      TEUCHOS_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_DIV), std::invalid_argument,
                          ">>> ERROR (Basis_HGRAD_TRI_C1_FEM): DIV is invalid operator for rank-0 (scalar) fields in 2D.");
      break;

    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:
      {
        // outputValues is a rank-3 array with dimensions (basisCardinality_, dim0, DkCardinality)
        int DkCardinality = Intrepid::getDkCardinality(operatorType, 
                                                       this -> basisCellTopology_.getDimension() );
        for(int dofOrd = 0; dofOrd < this -> basisCardinality_; dofOrd++) {
          for (int i0 = 0; i0 < dim0; i0++) {
            for(int dkOrd = 0; dkOrd < DkCardinality; dkOrd++){
              outputValues(dofOrd, i0, dkOrd) = 0.0;
            }
          }
        }
      }
      break;

    default:
      TEUCHOS_TEST_FOR_EXCEPTION( !( Intrepid::isValidOperator(operatorType) ), std::invalid_argument,
                          ">>> ERROR (Basis_HGRAD_TRI_C1_FEM): Invalid operator type");
  }
}
  

  
template<class Scalar, class ArrayScalar>
void Basis_HGRAD_TRI_C1_FEM<Scalar, ArrayScalar>::getValues(ArrayScalar&           outputValues,
                                                            const ArrayScalar &    inputPoints,
                                                            const ArrayScalar &    cellVertices,
                                                            const EOperator        operatorType) const {
  TEUCHOS_TEST_FOR_EXCEPTION( (true), std::logic_error,
                      ">>> ERROR (Basis_HGRAD_TRI_C1_FEM): FEM Basis calling an FVD member function");
}

template<class Scalar, class ArrayScalar>
void Basis_HGRAD_TRI_C1_FEM<Scalar, ArrayScalar>::getDofCoords(ArrayScalar & DofCoords) const {
#ifdef HAVE_INTREPID_DEBUG
  // Verify rank of output array.
  TEUCHOS_TEST_FOR_EXCEPTION( !(DofCoords.rank() == 2), std::invalid_argument,
                      ">>> ERROR: (Intrepid::Basis_HGRAD_TRI_C1_FEM::getDofCoords) rank = 2 required for DofCoords array");
  // Verify 0th dimension of output array.
  TEUCHOS_TEST_FOR_EXCEPTION( !( DofCoords.dimension(0) == this -> basisCardinality_ ), std::invalid_argument,
                      ">>> ERROR: (Intrepid::Basis_HGRAD_TRI_C1_FEM::getDofCoords) mismatch in number of DoF and 0th dimension of DofCoords array");
  // Verify 1st dimension of output array.
  TEUCHOS_TEST_FOR_EXCEPTION( !( DofCoords.dimension(1) == (int)(this -> basisCellTopology_.getDimension()) ), std::invalid_argument,
                      ">>> ERROR: (Intrepid::Basis_HGRAD_TRI_C1_FEM::getDofCoords) incorrect reference cell (1st) dimension in DofCoords array");
#endif

  DofCoords(0,0) =  0.0;   DofCoords(0,1) =  0.0;
  DofCoords(1,0) =  1.0;   DofCoords(1,1) =  0.0;
  DofCoords(2,0) =  0.0;   DofCoords(2,1) =  1.0;
}


}// namespace Intrepid
#endif