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#ifndef STOKHOS_MONOMIAL_PROJ_GRAM_SCHMIDT_PCE_BASIS_HPP
#define STOKHOS_MONOMIAL_PROJ_GRAM_SCHMIDT_PCE_BASIS_HPP
#include "Stokhos_GSReducedPCEBasisBase.hpp"
namespace Stokhos {
/*!
* \brief Generate a basis from a given set of PCE expansions that is
* orthogonal with respect to the product measure induced by these expansions.
*/
/*!
* Given the PCE expansions, first build a non-orthogonal monomial basis.
* Orthogonalize this basis using Gram-Schmidt, then build a quadrature rule
* using the simplex method.
*/
template <typename ordinal_type, typename value_type>
class MonomialProjGramSchmidtPCEBasis :
public GSReducedPCEBasisBase<ordinal_type,value_type> {
public:
//! Constructor
/*!
* \param p order of the basis
* \param pce polynomial chaos expansions defining new measure
* \param quad quadrature data for basis defining pce
* \param Cijk sparse triple product tensor for basis defining pce
* \param sparse_tol tolerance for dropping terms in sparse tensors
*/
MonomialProjGramSchmidtPCEBasis(
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::ParameterList& params = Teuchos::ParameterList());
//! Destructor
virtual ~MonomialProjGramSchmidtPCEBasis();
//! \name Implementation of Stokhos::OrthogPolyBasis methods
//@{
//! Return string name of basis
virtual const std::string& getName() const;
//@}
protected:
//! Build the reduced basis, parameterized by total order \c max_p
/*!
* Returns resulting size of reduced basis
*/
virtual ordinal_type
buildReducedBasis(
ordinal_type max_p,
value_type threshold,
const Teuchos::SerialDenseMatrix<ordinal_type,value_type>& A,
const Teuchos::SerialDenseMatrix<ordinal_type,value_type>& F,
const Teuchos::Array<value_type>& weights,
Teuchos::Array< Stokhos::MultiIndex<ordinal_type> >& terms_,
Teuchos::Array<ordinal_type>& num_terms_,
Teuchos::SerialDenseMatrix<ordinal_type,value_type>& Qp_,
Teuchos::SerialDenseMatrix<ordinal_type,value_type>& Q_);
private:
// Prohibit copying
MonomialProjGramSchmidtPCEBasis(const MonomialProjGramSchmidtPCEBasis&);
// Prohibit Assignment
MonomialProjGramSchmidtPCEBasis& operator=(const MonomialProjGramSchmidtPCEBasis& b);
protected:
typedef Stokhos::CompletePolynomialBasisUtils<ordinal_type,value_type> CPBUtils;
typedef Teuchos::SerialDenseVector<ordinal_type,value_type> SDV;
typedef Teuchos::SerialDenseMatrix<ordinal_type,value_type> SDM;
//! Name of basis
std::string name;
}; // class MonomialProjGramSchmidtPCEBasis
} // Namespace Stokhos
// Include template definitions
#include "Stokhos_MonomialProjGramSchmidtPCEBasisImp.hpp"
#endif
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