Intrepid_HGRAD_TET_Cn_FEM_ORTH.hpp

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#ifndef INTREPID_HGRAD_TET_Cn_FEM_ORTH_HPP
#define INTREPID_HGRAD_TET_Cn_FEM_ORTH_HPP

#include "Intrepid_Basis.hpp"
#include "Sacado.hpp"

namespace Intrepid {
  
template<class Scalar, class ArrayScalar> 
class Basis_HGRAD_TET_Cn_FEM_ORTH: public Basis<Scalar, ArrayScalar> {
private:
  void initializeTags();
  
public:
  
  Basis_HGRAD_TET_Cn_FEM_ORTH( int degree );  
  
  
  void getValues(ArrayScalar &          outputValues,
                 const ArrayScalar &    inputPoints,
                 const EOperator        operatorType) const;
  
  
  void getValues(ArrayScalar &          outputValues,
                 const ArrayScalar &    inputPoints,
                 const ArrayScalar &    cellVertices,
                 const EOperator        operatorType = OPERATOR_VALUE) const;

};

template<typename Scalar,typename ArrayScalar, unsigned derivOrder>
class TabulatorTet
{
public:
  static void tabulate( ArrayScalar & outputValues ,
                        const int deg ,
                        const ArrayScalar &inputPoints );
};
  

template<typename Scalar,typename ArrayScalar>
class TabulatorTet<Scalar,ArrayScalar,0>
{
public:
  static void tabulate( ArrayScalar & outputValues ,
                        const int deg ,
                        const ArrayScalar &inputPoints );

  static int idx(int p, int q,int r)
  {
    return (p+q+r)*(p+q+r+1)*(p+q+r+2)/6+(q+r)*(q+r+1)/2+r;
  }

  static void jrc( const Scalar &alpha , const Scalar &beta , 
                   const int &n ,
                   Scalar &an , Scalar &bn, Scalar &cn )
  
  {
    an = (2.0 * n + 1.0 + alpha + beta) * ( 2.0 * n + 2.0 + alpha + beta ) 
      / ( 2.0 * ( n + 1 ) * ( n + 1 + alpha + beta ) );
    bn = (alpha*alpha-beta*beta)*(2.0*n+1.0+alpha+beta) 
      / ( 2.0*(n+1.0)*(2.0*n+alpha+beta)*(n+1.0+alpha+beta) );
    cn = (n+alpha)*(n+beta)*(2.0*n+2.0+alpha+beta) 
      / ( (n+1.0)*(n+1.0+alpha+beta)*(2.0*n+alpha+beta) );
  
  return;
  }
  

    
};

template<typename Scalar,typename ArrayScalar>
class TabulatorTet<Scalar,ArrayScalar,1>
{
public:
  static void tabulate( ArrayScalar & outputValues ,
                        const int deg ,
                        const ArrayScalar &inputPoints );
    
};



}// namespace Intrepid

#include "Intrepid_HGRAD_TET_Cn_FEM_ORTHDef.hpp"

#endif