42#ifndef STOKHOS_ONEDORTHOGPOLYBASIS_HPP
43#define STOKHOS_ONEDORTHOGPOLYBASIS_HPP
49#include "Teuchos_Array.hpp"
50#include "Teuchos_SerialDenseMatrix.hpp"
53#ifdef HAVE_STOKHOS_DAKOTA
54#include "sandia_rules.hpp"
80 template <
typename ordinal_type,
typename value_type>
91 virtual ordinal_type
order()
const = 0;
94 virtual ordinal_type
size()
const = 0;
115 Teuchos::RCP< Stokhos::Dense3Tensor<ordinal_type, value_type> >
127 Teuchos::RCP< Stokhos::Sparse3Tensor<ordinal_type, value_type> >
138 Teuchos::RCP< Teuchos::SerialDenseMatrix<ordinal_type, value_type> >
147 Teuchos::Array<value_type>& basis_pts)
const = 0;
153 virtual value_type
evaluate(
const value_type& point,
154 ordinal_type
order)
const = 0;
157 virtual void print(std::ostream& os)
const {};
160 virtual const std::string&
getName()
const = 0;
175 Teuchos::Array<value_type>& points,
176 Teuchos::Array<value_type>& weights,
177 Teuchos::Array< Teuchos::Array<value_type> >& values)
const = 0;
195 virtual Teuchos::RCP<OneDOrthogPolyBasis<ordinal_type,value_type> >
cloneWithOrder(ordinal_type p)
const = 0;
233 template <
typename ordinal_type,
typename value_type>
Abstract base class for 1-D orthogonal polynomials.
virtual ordinal_type order() const =0
Return order of basis (largest monomial degree ).
virtual ordinal_type quadDegreeOfExactness(ordinal_type n) const =0
virtual const std::string & getName() const =0
Return string name of basis.
virtual ordinal_type size() const =0
Return total size of basis (given by order() + 1).
virtual LevelToOrderFnPtr getSparseGridGrowthRule() const =0
Get sparse grid level_to_order mapping function.
virtual ordinal_type pointGrowth(ordinal_type n) const =0
Evaluate point growth rule for Smolyak-type bases.
virtual Teuchos::RCP< Stokhos::Dense3Tensor< ordinal_type, value_type > > computeTripleProductTensor() const =0
Compute triple product tensor.
virtual ordinal_type coefficientGrowth(ordinal_type n) const =0
Evaluate coefficient growth rule for Smolyak-type bases.
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.
OneDOrthogPolyBasis & operator=(const OneDOrthogPolyBasis &b)
int(* LevelToOrderFnPtr)(int level, int growth)
Function pointer needed for level_to_order mappings.
virtual void getQuadPoints(ordinal_type quad_order, Teuchos::Array< value_type > &points, Teuchos::Array< value_type > &weights, Teuchos::Array< Teuchos::Array< value_type > > &values) const =0
Compute quadrature points, weights, and values of basis polynomials at given set of points points.
virtual void print(std::ostream &os) const
Print basis to stream os.
virtual Teuchos::RCP< Teuchos::SerialDenseMatrix< ordinal_type, value_type > > computeDerivDoubleProductTensor() const =0
Compute derivative double product tensor.
virtual ~OneDOrthogPolyBasis()
Destructor.
virtual Teuchos::RCP< Stokhos::Sparse3Tensor< ordinal_type, value_type > > computeSparseTripleProductTensor(ordinal_type order) const =0
Compute triple product tensor.
virtual value_type evaluate(const value_type &point, ordinal_type order) const =0
Evaluate basis polynomial given by order order at given point point.
virtual void setSparseGridGrowthRule(LevelToOrderFnPtr ptr)=0
Set sparse grid rule.
virtual void evaluateBases(const value_type &point, Teuchos::Array< value_type > &basis_pts) const =0
Evaluate each basis polynomial at given point point.
OneDOrthogPolyBasis()
Default constructor.
OneDOrthogPolyBasis(const OneDOrthogPolyBasis &)
virtual Teuchos::RCP< OneDOrthogPolyBasis< ordinal_type, value_type > > cloneWithOrder(ordinal_type p) const =0
Clone this object with the option of building a higher order basis.
Top-level namespace for Stokhos classes and functions.
std::ostream & operator<<(std::ostream &os, const ProductContainer< coeff_type > &vec)