Stokhos_ProductLanczosGramSchmidtPCEBasis.hpp

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

#ifndef STOKHOS_PRODUCT_LANCZOS_GRAM_SCHMIDT_PCE_BASIS_HPP
#define STOKHOS_PRODUCT_LANCZOS_GRAM_SCHMIDT_PCE_BASIS_HPP

#include "Teuchos_RCP.hpp"
#include "Teuchos_Array.hpp"
#include "Teuchos_SerialDenseMatrix.hpp"
#include "Teuchos_SerialDenseVector.hpp"
#include "Teuchos_ParameterList.hpp"

#include "Stokhos_ReducedPCEBasis.hpp"
#include "Stokhos_OrthogPolyApprox.hpp"
#include "Stokhos_Quadrature.hpp"
#include "Stokhos_Sparse3Tensor.hpp"
#include "Stokhos_CompletePolynomialBasis.hpp"

namespace Stokhos {

  template <typename ordinal_type, typename value_type>
  class ProductLanczosGramSchmidtPCEBasis : 
    public ReducedPCEBasis<ordinal_type,value_type> {
  public:


    ProductLanczosGramSchmidtPCEBasis(
     ordinal_type p,
     const Teuchos::Array< Stokhos::OrthogPolyApprox<ordinal_type, value_type> >& pce,
     const Teuchos::RCP<const Stokhos::Quadrature<ordinal_type, value_type> >& quad,
     const Teuchos::RCP< const Stokhos::Sparse3Tensor<ordinal_type, value_type> >& Cijk,
     const Teuchos::ParameterList& params = Teuchos::ParameterList());

    virtual ~ProductLanczosGramSchmidtPCEBasis();



    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 void 
    transformToOriginalBasis(const value_type *in, 
           value_type *out,
           ordinal_type ncol = 1, 
           bool transpose = false) const;

    virtual void 
    transformFromOriginalBasis(const value_type *in, 
             value_type *out,
             ordinal_type ncol = 1, 
             bool transpose = false) const;

    virtual Teuchos::RCP<const Stokhos::Quadrature<ordinal_type, value_type> >
    getReducedQuadrature() const;


  protected:

    // Determine if a pce is linear, in that it has a total degree of at
    // most 1.  If the pce is nonlinear, return -2, or if it is constant, 
    // return -1, otherwise return the index of the variable the pce is
    // linear in, ie, if return value is i, the pce = a_{i+1}*\xi_i
    ordinal_type
    isInvariant(const Stokhos::OrthogPolyApprox<ordinal_type, value_type>& pce) const;

  private:

    // Prohibit copying
    ProductLanczosGramSchmidtPCEBasis(const ProductLanczosGramSchmidtPCEBasis&);

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

    typedef Teuchos::SerialDenseVector<ordinal_type,value_type> SDV;
    typedef Teuchos::SerialDenseMatrix<ordinal_type,value_type> SDM;

    std::string name;

    Teuchos::ParameterList params;

    ordinal_type pce_sz;
    
    ordinal_type p;

    ordinal_type d;

    ordinal_type sz;

    Teuchos::RCP< Stokhos::CompletePolynomialBasis<ordinal_type,value_type> > tensor_lanczos_basis;

    Teuchos::Array<value_type> norms;

    SDM Q;

    SDM Qp;

    Teuchos::RCP<const Stokhos::Quadrature<ordinal_type, value_type> > reduced_quad;

    mutable Stokhos::OrthogPolyApprox<ordinal_type, value_type> tmp_pce;

  }; // class ProductLanczosGramSchmidtPCEBasis

} // Namespace Stokhos

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

#endif