Intrepid_HGRAD_TRI_Cn_FEM_ORTH.hpp

// @HEADER
// ************************************************************************
//
//                           Intrepid Package
//                 Copyright (2007) Sandia Corporation
//
// Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
// license for use of this work by or on behalf of the U.S. Government.
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are
// met:
//
// 1. Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
//
// 2. Redistributions in binary form must reproduce the above copyright
// notice, this list of conditions and the following disclaimer in the
// documentation and/or other materials provided with the distribution.
//
// 3. Neither the name of the Corporation nor the names of the
// contributors may be used to endorse or promote products derived from
// this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
// PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE
// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
// LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
//
// Questions? Contact Pavel Bochev  (pbboche@sandia.gov)
//                    Denis Ridzal  (dridzal@sandia.gov), or
//                    Kara Peterson (kjpeter@sandia.gov)
//
// ************************************************************************
// @HEADER

#ifndef INTREPID_HGRAD_TRI_Cn_FEM_ORTHHPP
#define INTREPID_HGRAD_TRI_Cn_FEM_ORTHHPP

#include "Intrepid_Basis.hpp"
#include "Sacado.hpp"
namespace Intrepid {
  
template<class Scalar, class ArrayScalar> 
class Basis_HGRAD_TRI_Cn_FEM_ORTH: public Basis<Scalar, ArrayScalar> {
private:
  void initializeTags();

public:
  
  Basis_HGRAD_TRI_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 TabulatorTri
{
public:
  static void tabulate( ArrayScalar & outputValues ,
                        const int deg ,
                        const ArrayScalar &inputPoints );


};



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

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

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



}// namespace Intrepid

#include "Intrepid_HGRAD_TRI_Cn_FEM_ORTHDef.hpp"

#endif


#if defined(Intrepid_SHOW_DEPRECATED_WARNINGS)
#ifdef __GNUC__
#warning "The Intrepid package is deprecated"
#endif
#endif