Stokhos_GramSchmidtBasis.hpp

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

#ifndef STOKHOS_GRAMSCHMIDTBASIS_HPP
#define STOKHOS_GRAMSCHMIDTBASIS_HPP

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

#include "Stokhos_OrthogPolyBasis.hpp"

namespace Stokhos {

  template <typename ordinal_type, typename value_type>
  class GramSchmidtBasis : 
    public OrthogPolyBasis<ordinal_type,value_type> {
  public:


    GramSchmidtBasis(
     const Teuchos::RCP<const OrthogPolyBasis<ordinal_type,value_type> >& basis,
     const Teuchos::Array< Teuchos::Array<value_type> >& points,
     const Teuchos::Array<value_type>& weights,
     const value_type& sparse_tol = 1.0e-15);

    virtual ~GramSchmidtBasis();



    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;


    void transformCoeffs(const value_type *in, value_type *out) const;

  private:

    // Prohibit copying
    GramSchmidtBasis(const GramSchmidtBasis&);

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

    std::string name;

    Teuchos::RCP<const OrthogPolyBasis<ordinal_type, value_type> > basis;

    Teuchos::Array<value_type> weights;

    Teuchos::Array< Teuchos::Array<value_type> > basis_values;

    value_type sparse_tol;

    ordinal_type p;

    ordinal_type d;

    ordinal_type sz;

    Teuchos::Array<value_type> norms;

    Teuchos::SerialDenseMatrix<ordinal_type, value_type> gs_mat;

    mutable Teuchos::Array<value_type> basis_vals_tmp;

  }; // class GramSchmidtBasis

} // Namespace Stokhos

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

#endif