SundanceLegendre.hpp

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//                              Sundance
//                 Copyright (2005) Sandia Corporation
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// retains certain rights in this software.
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#ifndef SUNDANCE_LEGENDRE_H
#define SUNDANCE_LEGENDRE_H

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

namespace Sundance 
{
/** 
 * Legendre basis
 */
class Legendre : public ScalarBasis
{
public:
  /** 2param order [in] order of the Legendre*/
  Legendre(int order);

  /**   
   * \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 order_+1;}

  /** 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 ;

  /* 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 evalOnQuad(const Point& pt,
    const MultiIndex& deriv,
    Array<double>& result) const ;

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

  /** the order of the basis*/
  int order_;

  /** */
  int nrDOF_edge_;

  /** */
  int nrDOF_face_;

  /** */
  int nrDOF_brick_;

};
}

#endif