Stokhos_CompletePolynomialBasis.hpp

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

#ifndef STOKHOS_COMPLETEPOLYNOMIALBASIS_HPP
#define STOKHOS_COMPLETEPOLYNOMIALBASIS_HPP

#include "Teuchos_RCP.hpp"
#include "Teuchos_SerialDenseMatrix.hpp"

#include "Stokhos_ProductBasis.hpp"
#include "Stokhos_DerivBasis.hpp"
#include "Stokhos_OneDOrthogPolyBasis.hpp"
#include "Stokhos_ProductBasisUtils.hpp"

namespace Stokhos {

  template <typename ordinal_type, typename value_type>
  class CompletePolynomialBasis : 
    public ProductBasis<ordinal_type,value_type>,
    public DerivBasis<ordinal_type, value_type> {
  public:


    CompletePolynomialBasis(
      const Teuchos::Array< Teuchos::RCP<const OneDOrthogPolyBasis<ordinal_type,
 value_type> > >& bases,
      const value_type& sparse_tol = 1.0e-12,
      bool use_old_cijk_alg = false,
      const Teuchos::RCP< Teuchos::Array<value_type> >& deriv_coeffs = Teuchos::null);

    virtual ~CompletePolynomialBasis();



    ordinal_type order() const;

    ordinal_type dimension() const;

    virtual ordinal_type size() const;


    virtual const Teuchos::Array<value_type>& norm_squared() const;

    virtual const value_type& norm_squared(ordinal_type i) const;


    virtual 
    Teuchos::RCP< Stokhos::Sparse3Tensor<ordinal_type, value_type> > 
    computeTripleProductTensor() const;

    virtual 
    Teuchos::RCP< Stokhos::Sparse3Tensor<ordinal_type, value_type> > 
    computeLinearTripleProductTensor() const;

    virtual value_type evaluateZero(ordinal_type i) const;


    virtual void evaluateBases(
      const Teuchos::ArrayView<const value_type>& point,
      Teuchos::Array<value_type>& basis_vals) const;

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

    virtual const std::string& getName() const;





    virtual const MultiIndex<ordinal_type>& term(ordinal_type i) const;


    virtual ordinal_type index(const MultiIndex<ordinal_type>& term) const;


    Teuchos::Array< Teuchos::RCP<const OneDOrthogPolyBasis<ordinal_type, 
                 value_type> > > 
    getCoordinateBases() const;

    virtual MultiIndex<ordinal_type> getMaxOrders() const;




    virtual 
    Teuchos::RCP< Stokhos::Dense3Tensor<ordinal_type, value_type> > 
    computeDerivTripleProductTensor(
      const Teuchos::RCP< const Teuchos::SerialDenseMatrix<ordinal_type, value_type> >& Bij,
      const Teuchos::RCP< const Stokhos::Sparse3Tensor<ordinal_type, value_type> >& Cijk
      ) const;

    virtual 
    Teuchos::RCP< Teuchos::SerialDenseMatrix<ordinal_type, value_type> > 
    computeDerivDoubleProductTensor() const;


  protected:

    virtual 
    Teuchos::RCP< Stokhos::Sparse3Tensor<ordinal_type, value_type> > 
    computeTripleProductTensorOld(ordinal_type order) const;

    virtual 
    Teuchos::RCP< Stokhos::Sparse3Tensor<ordinal_type, value_type> > 
    computeTripleProductTensorNew(ordinal_type order) const;

  private:

    // Prohibit copying
    CompletePolynomialBasis(const CompletePolynomialBasis&);

    // Prohibit Assignment
    CompletePolynomialBasis& operator=(const CompletePolynomialBasis& b);
    
  protected:

    typedef Stokhos::CompletePolynomialBasisUtils<ordinal_type,value_type> CPBUtils;

    std::string name;

    ordinal_type p;

    ordinal_type d;

    ordinal_type sz;

    Teuchos::Array< Teuchos::RCP<const OneDOrthogPolyBasis<ordinal_type, value_type> > > bases;

    Teuchos::Array<ordinal_type> basis_orders;

    value_type sparse_tol;

    bool use_old_cijk_alg;

    Teuchos::RCP< Teuchos::Array<value_type> > deriv_coeffs;

    Teuchos::Array<value_type> norms;

    Teuchos::Array< MultiIndex<ordinal_type> > terms;

    Teuchos::Array<ordinal_type> num_terms;

    mutable Teuchos::Array< Teuchos::Array<value_type> > basis_eval_tmp;

    typedef Stokhos::Sparse3Tensor<ordinal_type, value_type> Cijk_type;

  }; // class CompletePolynomialBasis

} // Namespace Stokhos

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

#endif