Stokhos_SmolyakPseudoSpectralOperator.hpp

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#ifndef STOKHOS_SMOLYAK_PSEUDO_SPECTRAL_OPERATOR_HPP
#define STOKHOS_SMOLYAK_PSEUDO_SPECTRAL_OPERATOR_HPP

#include "Stokhos_PseudoSpectralOperator.hpp"
#include "Stokhos_SmolyakBasis.hpp"
#include "Stokhos_TensorProductPseudoSpectralOperator.hpp"
#include "Teuchos_SerialDenseMatrix.hpp"
#include "Teuchos_BLAS.hpp"

namespace Stokhos {

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

    typedef ordinal_t ordinal_type;
    typedef value_t value_type;
    typedef PseudoSpectralOperator<ordinal_type,value_type,point_compare_type> base_type;
    typedef typename base_type::point_type point_type;    
    typedef typename base_type::point_set_type point_set_type;
    typedef typename base_type::point_map_type point_map_type;
    typedef typename base_type::iterator iterator;
    typedef typename base_type::const_iterator const_iterator;
    typedef typename base_type::set_iterator set_iterator;
    typedef typename base_type::const_set_iterator const_set_iterator;

    typedef MultiIndex<ordinal_type> multiindex_type;
    typedef TensorProductPseudoSpectralOperator<ordinal_type, value_type> operator_type;
    typedef Teuchos::Array< Teuchos::RCP<operator_type> > operator_set_type;
    
    template <typename coeff_compare_type>
    SmolyakPseudoSpectralOperator(
      const SmolyakBasis<ordinal_type,value_type,coeff_compare_type>& smolyak_basis, 
      bool use_smolyak_apply = true,
      bool use_pst = true,
      const point_compare_type& point_compare = point_compare_type());

    virtual ~SmolyakPseudoSpectralOperator() {}

    ordinal_type point_size() const { return points.size(); }

    ordinal_type coeff_size() const { return coeff_sz; }

    iterator begin() { return point_map.begin(); }
    
    iterator end() { return point_map.end(); }

    const_iterator begin() const { return point_map.begin(); }

    const_iterator end() const { return point_map.end(); }

    set_iterator set_begin() { return points.begin(); }

    set_iterator set_end() { return points.end(); }

    const_set_iterator set_begin() const { return points.begin(); }

    const_set_iterator set_end() const { return points.end(); }

    ordinal_type index(const point_type& point) const { 
      const_set_iterator it = points.find(point);
      TEUCHOS_TEST_FOR_EXCEPTION(
  it == points.end(), std::logic_error, "Invalid term " << point);
      return it->second.second;
    }

    const point_type& point(ordinal_type n) const { return point_map[n]; }


    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;


    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;

  protected:

    void apply_direct(
      const Teuchos::SerialDenseMatrix<ordinal_type,value_type>& A,
      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) const;

    void transformQP2PCE_smolyak(
      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) const;

    void transformPCE2QP_smolyak(
      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) const;

    void gather(
      const Teuchos::Array<ordinal_type>& map, 
      const Teuchos::SerialDenseMatrix<ordinal_type,value_type>& input, 
      bool trans, 
      Teuchos::SerialDenseMatrix<ordinal_type,value_type>& result) const;

    void scatter(
      const Teuchos::Array<ordinal_type>& map, 
      const Teuchos::SerialDenseMatrix<ordinal_type,value_type>& input, 
      bool trans, 
      Teuchos::SerialDenseMatrix<ordinal_type,value_type>& result) const;

  protected:

    bool use_smolyak;

    ordinal_type coeff_sz;

    point_set_type points;

    point_map_type point_map;

    Teuchos::Array<value_type> smolyak_coeffs;

    operator_set_type operators;

    Teuchos::Array< Teuchos::Array<ordinal_type> > gather_maps;

    Teuchos::Array< Teuchos::Array<ordinal_type> > scatter_maps;

    Teuchos::SerialDenseMatrix<ordinal_type,value_type> qp2pce;

    Teuchos::SerialDenseMatrix<ordinal_type,value_type> pce2qp;

    Teuchos::BLAS<ordinal_type,value_type> blas;

  };

}

#include "Stokhos_SmolyakPseudoSpectralOperatorImp.hpp"

#endif