44#ifndef STOKHOS_ORTHOGPOLYBASIS_HPP
45#define STOKHOS_ORTHOGPOLYBASIS_HPP
52#include "Teuchos_Array.hpp"
53#include "Teuchos_ArrayView.hpp"
54#include "Teuchos_SerialDenseMatrix.hpp"
73 template <
typename ordinal_type,
typename value_type>
84 virtual ordinal_type
order()
const = 0;
90 virtual ordinal_type
size()
const = 0;
97 virtual const Teuchos::Array<value_type>&
norm_squared()
const = 0;
110 Teuchos::RCP< Stokhos::Sparse3Tensor<ordinal_type, value_type> >
115 Teuchos::RCP< Stokhos::Sparse3Tensor<ordinal_type, value_type> >
127 const Teuchos::ArrayView<const value_type>& point,
128 Teuchos::Array<value_type>& basis_vals)
const = 0;
131 virtual void print(std::ostream& os)
const = 0;
134 virtual const std::string&
getName()
const = 0;
147 template <
typename ordinal_type,
typename value_type>
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.
OrthogPolyBasis()
Constructor.
virtual const value_type & norm_squared(ordinal_type i) const =0
Return norm squared of basis polynomial i.
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 ~OrthogPolyBasis()
Destructor.
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.
OrthogPolyBasis(const OrthogPolyBasis &)
Top-level namespace for Stokhos classes and functions.
std::ostream & operator<<(std::ostream &os, const ProductContainer< coeff_type > &vec)