44#ifndef STOKHOS_GRAMSCHMIDTBASIS_HPP
45#define STOKHOS_GRAMSCHMIDTBASIS_HPP
47#include "Teuchos_RCP.hpp"
48#include "Teuchos_SerialDenseMatrix.hpp"
71 template <
typename ordinal_type,
typename value_type>
84 const Teuchos::RCP<
const OrthogPolyBasis<ordinal_type,value_type> >& basis,
85 const Teuchos::Array< Teuchos::Array<value_type> >& points,
86 const Teuchos::Array<value_type>& weights,
87 const value_type& sparse_tol = 1.0e-15);
96 ordinal_type
order()
const;
102 virtual ordinal_type
size()
const;
109 virtual const Teuchos::Array<value_type>&
norm_squared()
const;
112 virtual const value_type&
norm_squared(ordinal_type i)
const;
122 Teuchos::RCP< Stokhos::Sparse3Tensor<ordinal_type, value_type> >
127 Teuchos::RCP< Stokhos::Sparse3Tensor<ordinal_type, value_type> >
139 const Teuchos::ArrayView<const value_type>& point,
140 Teuchos::Array<value_type>& basis_vals)
const;
143 virtual void print(std::ostream& os)
const;
146 virtual const std::string&
getName()
const;
151 void transformCoeffs(
const value_type *in, value_type *out)
const;
167 Teuchos::RCP<const OrthogPolyBasis<ordinal_type, value_type> > basis;
170 Teuchos::Array<value_type> weights;
173 Teuchos::Array< Teuchos::Array<value_type> > basis_values;
176 value_type sparse_tol;
188 Teuchos::Array<value_type> norms;
191 Teuchos::SerialDenseMatrix<ordinal_type, value_type> gs_mat;
194 mutable Teuchos::Array<value_type> basis_vals_tmp;
Transforms a non-orthogonal multivariate basis to an orthogonal one using the Gram-Schmit procedure.
Abstract base class for multivariate orthogonal polynomials.
OrthogPolyBasis & operator=(const OrthogPolyBasis &b)
virtual value_type evaluateZero(ordinal_type i) const =0
Evaluate basis polynomial i at zero.
virtual const Teuchos::Array< value_type > & norm_squared() const =0
Return array storing norm-squared of each basis polynomial.
virtual Teuchos::RCP< Stokhos::Sparse3Tensor< ordinal_type, value_type > > computeTripleProductTensor() const =0
Compute triple product tensor.
virtual ordinal_type order() const =0
Return order of basis.
virtual ordinal_type size() const =0
Return total size of basis.
virtual ordinal_type dimension() const =0
Return dimension of basis.
virtual Teuchos::RCP< Stokhos::Sparse3Tensor< ordinal_type, value_type > > computeLinearTripleProductTensor() const =0
Compute linear triple product tensor where k = 0,1.
virtual const std::string & getName() const =0
Return string name of basis.
virtual void evaluateBases(const Teuchos::ArrayView< const value_type > &point, Teuchos::Array< value_type > &basis_vals) const =0
Evaluate basis polynomials at given point point.
virtual void print(std::ostream &os) const =0
Print basis to stream os.
Top-level namespace for Stokhos classes and functions.