Sacado_PCE_HermiteBasis.hpp

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// $Id: Sacado_PCE_HermiteBasis.hpp,v 1.2 2008/01/22 17:56:14 etphipp Exp $ 
// $Source: /space/CVS/Trilinos/packages/sacado/src/pce/Sacado_PCE_HermiteBasis.hpp,v $ 
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// 
//                           Sacado Package
//                 Copyright (2006) 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.
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// This library is free software; you can redistribute it and/or modify
// it under the terms of the GNU Lesser General Public License as
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// You should have received a copy of the GNU Lesser General Public
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#ifndef SACADO_PCE_HERMITEBASIS_HPP
#define SACADO_PCE_HERMITEBASIS_HPP

#include <vector>
#include <ostream>
#include "Sacado_PCE_StandardPoly.hpp"

namespace Sacado {

  namespace PCE {

    template <typename T>
    class HermiteBasis {
    public:

      typedef T value_type;

      HermiteBasis(unsigned int degree);
      
      HermiteBasis(const HermiteBasis& b);

      ~HermiteBasis();

      HermiteBasis& operator=(const HermiteBasis& b);

      unsigned int size() const;

      const std::vector<T>& norm_squared() const;

      T derivCoeff(unsigned int i) const;

      void project(const StandardPoly<T>& poly, std::vector<T>& coeffs) const;

      StandardPoly<T> toStandardBasis(const T coeffs[], unsigned int n) const;

      const StandardPoly<T>& getBasisPoly(unsigned int i) const;

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

    protected:

      unsigned int d;

      std::vector< StandardPoly<T> > basis;

      std::vector<T> norms;

    }; // class HermiteBasis

    template <typename T> 
    std::ostream& operator << (std::ostream& os, const HermiteBasis<T>& b) {
      b.print(os);
      return os;
    }

  } // Namespace PCE

} // Namespace Sacado

// Include template definitions
#include "Sacado_PCE_HermiteBasisImp.hpp"

#endif

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