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//                           Intrepid Package
//                 Copyright (2007) Sandia Corporation
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// 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.
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// This library is free software; you can redistribute it and/or modify
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#ifndef INTREPID_ORTHOGONALBASES_HPP
#define INTREPID_ORTHGONALBASES_HPP

#include "Intrepid_ConfigDefs.hpp"
#include "Intrepid_Types.hpp"
#include "Intrepid_Utils.hpp"
#include "Teuchos_Array.hpp"
#include "Teuchos_RCP.hpp"
#include "Teuchos_BLAS.hpp"
#include "Teuchos_oblackholestream.hpp"
#include "Teuchos_TestForException.hpp"

namespace Intrepid {
  
  class OrthogonalBases {
  public:
    OrthogonalBases() {;}
    ~OrthogonalBases() {;}

    template<class Scalar, class ScalarArray1, class ScalarArray2>
    static void tabulateTriangle( const ScalarArray1& z ,
                                  const int n ,
                                  ScalarArray2 & poly_val );

    template<class Scalar, class ScalarArray1, class ScalarArray2>
    static void tabulateTetrahedron( const ScalarArray1& z ,
                                    const int n ,
                                    ScalarArray2 & poly_val );
    
  private:
    template<class Scalar>
    static void jrc( const Scalar &alpha , const Scalar &beta , const int &n ,
                    Scalar &an , Scalar &bn, Scalar &cn );

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

    static inline int idxtet(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;
    }


  }; // class OrthogonalBases
} // namespace Intrepid

#include "Intrepid_OrthogonalBasesDef.hpp"

#endif