Stokhos_PseudoSpectralOperator.hpp

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// @HEADER
// *****************************************************************************
//                           Stokhos Package
//
// Copyright 2009 NTESS and the Stokhos contributors.
// SPDX-License-Identifier: BSD-3-Clause
// *****************************************************************************
// @HEADER

#ifndef STOKHOS_PSEUDO_SPECTRAL_OPERATOR_HPP
#define STOKHOS_PSEUDO_SPECTRAL_OPERATOR_HPP

#include <map>
#include "Teuchos_Array.hpp"

#include "Stokhos_ProductBasisUtils.hpp"

namespace Stokhos {

  template <typename ordinal_type, typename value_type>
  struct DefaultPointCompare {
    typedef LexographicLess< TensorProductElement<ordinal_type,value_type>, 
           FloatingPointLess<value_type> > type;
  };

  template <typename ordinal_t, 
      typename value_t, 
      typename point_compare_type = 
      typename DefaultPointCompare<ordinal_t,value_t>::type>
  class PseudoSpectralOperator {
  public:

    typedef ordinal_t ordinal_type;
    typedef value_t value_type;
    typedef TensorProductElement<ordinal_type,value_type> point_type;
    typedef std::map<point_type, std::pair<value_type,ordinal_type>, 
         point_compare_type> point_set_type;
    typedef Teuchos::Array<point_type> point_map_type;
    
    typedef typename point_map_type::iterator iterator;
    typedef typename point_map_type::const_iterator const_iterator;
    typedef typename point_set_type::iterator set_iterator;
    typedef typename point_set_type::const_iterator const_set_iterator;

    PseudoSpectralOperator() {}

    virtual ~PseudoSpectralOperator() {}

    virtual ordinal_type point_size() const = 0;

    virtual ordinal_type coeff_size() const = 0;

    virtual iterator begin() = 0;

    virtual iterator end() = 0;

    virtual const_iterator begin() const = 0;

    virtual const_iterator end() const = 0;

    virtual set_iterator set_begin() = 0;

    virtual set_iterator set_end() = 0;

    virtual const_set_iterator set_begin() const = 0;

    virtual const_set_iterator set_end() const = 0;

    virtual ordinal_type index(const point_type& point) const = 0;

    virtual const point_type& point(ordinal_type n) const  = 0;


    virtual void transformQP2PCE(
      const value_type& alpha, 
      const Teuchos::SerialDenseMatrix<ordinal_type,value_type>& input,
      Teuchos::SerialDenseMatrix<ordinal_type,value_type>& result, 
      const value_type& beta,
      bool trans = false) const = 0;


    virtual void transformPCE2QP(
      const value_type& alpha, 
      const Teuchos::SerialDenseMatrix<ordinal_type,value_type>& input,
      Teuchos::SerialDenseMatrix<ordinal_type,value_type>& result, 
      const value_type& beta,
      bool trans = false) const = 0;

  };

}

#endif