SundanceCubicHermite.hpp

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#ifndef SUNDANCE_CUBICHERMITE_H
#define SUNDANCE_CUBICHERMITE_H

#include "SundanceDefs.hpp"
#include "Teuchos_RefCountPtr.hpp"
#include "SundanceBasisFamilyBase.hpp"

namespace Sundance 
{
/** 
 * CubicHermite basis 
 */
class CubicHermite : public ScalarBasis
{
public:
  /** */
  CubicHermite() {;}

  /**   
   * \brief Inform caller as to whether a given cell type is supported 
   */
  bool supportsCellTypePair(
    const CellType& maximalCellType,
    const CellType& cellType
    ) const ;

  /** */
  void print(std::ostream& os) const ;

  /** */
  int order() const {return 3;}

  /** return the number of nodes for this basis on the given cell type */
  int nReferenceDOFsWithoutFacets(
    const CellType& maximalCellType,
    const CellType& cellType
    ) const ;

  /** */
  void getReferenceDOFs(
    const CellType& maximalCellType,
    const CellType& cellType,
    Array<Array<Array<int> > >& dofs) const ;

  /** */
  void refEval(
    const CellType& cellType,
    const Array<Point>& pts,
    const SpatialDerivSpecifier& deriv,
    Array<Array<Array<double> > >& result,
    int verbosity=0) const ;

  virtual bool requiresBasisTransformation() const { return true; }
  
  void preApplyTransformation( const CellType &maxCellType ,
             const Mesh &mesh, 
             const Array<int> &cellLIDs,
             const CellJacobianBatch& JVol,
             RCP<Array<double> >& A ) const;

  void postApplyTransformation( const CellType &maxCellType ,
        const Mesh &mesh, 
        const Array<int> &cellLIDs,
        const CellJacobianBatch& JVol,
        RCP<Array<double> >& A ) const;

  void preApplyTransformationTranspose( const CellType &maxCellType ,
          const Mesh &mesh, 
          const Array<int> &cellLIDs,
          const CellJacobianBatch& JVol,
          Array<double>& A ) const;


  


  /* Handleable boilerplate */
  GET_RCP(BasisFamilyBase);

private:
  static Array<int> makeRange(int low, int high);

  /** evaluate on a line cell  */
  void evalOnLine(const Point& pt,
    const MultiIndex& deriv,
    Array<double>& result) const ;
    
  /** evaluate on a triangle cell  */
  void evalOnTriangle(const Point& pt,
    const MultiIndex& deriv,
    Array<double>& result) const ;

  /** evaluate on a tet cell  */
  void evalOnTet(const Point& pt,
    const MultiIndex& deriv,
    Array<double>& result) const ;

  void preApplyTransformationTriangle( const Mesh &mesh, 
               const Array<int> &cellLIDs,
               const CellJacobianBatch& JVol,
               RCP<Array<double> >& A ) const;

  void postApplyTransformationTriangle( const Mesh &mesh, 
          const Array<int> &cellLIDs,
          const CellJacobianBatch& JVol,
          RCP<Array<double> >& A ) const;

  void preApplyTransformationTransposeTriangle( const Mesh &mesh, 
            const Array<int> &cellLIDs,
            const CellJacobianBatch& JVol,
            Array<double> & A ) const;


  void getVertexH( const Mesh &mesh,
       const Array<int> &cellLIDs,
       Array<double> &cellVertexH ) const;

};
}

#endif