An operator interface for building pseudo-spectral approximations. More...

#include <Stokhos_PseudoSpectralOperator.hpp>

Inheritance diagram for Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >:

[legend]

Public Types
typedef ordinal_t	ordinal_type

typedef value_t	value_type

typedef TensorProductElement< ordinal_type, value_type >	point_type

typedef std::map< point_type, std::pair< value_type, ordinal_type >, point_compare_type >	point_set_type

typedef Teuchos::Array< point_type >	point_map_type

typedef point_map_type::iterator	iterator

typedef point_map_type::const_iterator	const_iterator

typedef point_set_type::iterator	set_iterator

typedef point_set_type::const_iterator	const_set_iterator

Public Member Functions
	PseudoSpectralOperator ()
	Constructor.

virtual	~PseudoSpectralOperator ()
	Destructor.

virtual ordinal_type	point_size () const =0
	Number of points.

virtual ordinal_type	coeff_size () const =0
	Number of coefficients.

virtual iterator	begin ()=0
	Iterator to begining of point set.

virtual iterator	end ()=0
	Iterator to end of point set.

virtual const_iterator	begin () const =0
	Iterator to begining of point set.

virtual const_iterator	end () const =0
	Iterator to end of point set.

virtual set_iterator	set_begin ()=0
	Iterator to begining of point set.

virtual set_iterator	set_end ()=0
	Iterator to end of point set.

virtual const_set_iterator	set_begin () const =0
	Iterator to begining of point set.

virtual const_set_iterator	set_end () const =0
	Iterator to end of point set.

virtual ordinal_type	index (const point_type &point) const =0
	Get point index for given point.

virtual const point_type &	point (ordinal_type n) const =0
	Get point for given index.

virtual void	transformQP2PCE (const value_type &alpha, const Teuchos::SerialDenseMatrix< ordinal_type, value_type > &input, Teuchos::SerialDenseMatrix< ordinal_type, value_type > &result, const value_type &beta, bool trans=false) const =0
	Transform values at quadrature points to PCE coefficients.

virtual void	transformPCE2QP (const value_type &alpha, const Teuchos::SerialDenseMatrix< ordinal_type, value_type > &input, Teuchos::SerialDenseMatrix< ordinal_type, value_type > &result, const value_type &beta, bool trans=false) const =0
	Transform PCE coefficients to quadrature values.

Detailed Description

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>
class Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >

An operator interface for building pseudo-spectral approximations.

Member Function Documentation

◆ begin() [1/2]

template<typename ordinal_t , typename value_t , typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

virtual const_iterator Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::begin ( ) const

pure virtual

Iterator to begining of point set.

Implemented in Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >, Stokhos::SmolyakPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >, and Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

◆ begin() [2/2]

template<typename ordinal_t , typename value_t , typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

virtual iterator Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::begin ( )

pure virtual

Iterator to begining of point set.

Implemented in Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >, Stokhos::SmolyakPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >, and Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

◆ coeff_size()

template<typename ordinal_t , typename value_t , typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

virtual ordinal_type Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::coeff_size ( ) const

pure virtual

Number of coefficients.

Implemented in Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >, Stokhos::SmolyakPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >, and Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

◆ end() [1/2]

template<typename ordinal_t , typename value_t , typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

virtual const_iterator Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::end ( ) const

pure virtual

Iterator to end of point set.

Implemented in Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >, Stokhos::SmolyakPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >, and Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

◆ end() [2/2]

template<typename ordinal_t , typename value_t , typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

virtual iterator Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::end ( )

pure virtual

Iterator to end of point set.

Implemented in Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >, Stokhos::SmolyakPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >, and Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

◆ index()

template<typename ordinal_t , typename value_t , typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

virtual ordinal_type Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::index ( const point_type & point ) const

pure virtual

Get point index for given point.

Implemented in Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >, Stokhos::SmolyakPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >, and Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

◆ point()

template<typename ordinal_t , typename value_t , typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

virtual const point_type & Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::point ( ordinal_type n ) const

pure virtual

Get point for given index.

Implemented in Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >, Stokhos::SmolyakPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >, and Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

◆ point_size()

template<typename ordinal_t , typename value_t , typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

virtual ordinal_type Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::point_size ( ) const

pure virtual

Number of points.

Implemented in Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >, Stokhos::SmolyakPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >, and Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

◆ set_begin() [1/2]

template<typename ordinal_t , typename value_t , typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

virtual const_set_iterator Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::set_begin ( ) const

pure virtual

Iterator to begining of point set.

Implemented in Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >, Stokhos::SmolyakPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >, and Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

◆ set_begin() [2/2]

template<typename ordinal_t , typename value_t , typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

virtual set_iterator Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::set_begin ( )

pure virtual

Iterator to begining of point set.

Implemented in Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >, Stokhos::SmolyakPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >, and Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

◆ set_end() [1/2]

template<typename ordinal_t , typename value_t , typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

virtual const_set_iterator Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::set_end ( ) const

pure virtual

Iterator to end of point set.

Implemented in Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >, Stokhos::SmolyakPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >, and Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

◆ set_end() [2/2]

template<typename ordinal_t , typename value_t , typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

virtual set_iterator Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::set_end ( )

pure virtual

Iterator to end of point set.

Implemented in Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >, Stokhos::SmolyakPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >, and Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

◆ transformPCE2QP()

template<typename ordinal_t , typename value_t , typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

virtual void Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::transformPCE2QP	(	const value_type &	alpha,
		const Teuchos::SerialDenseMatrix< ordinal_type, value_type > &	input,
		Teuchos::SerialDenseMatrix< ordinal_type, value_type > &	result,
		const value_type &	beta,
		bool	trans = `false`
	)		const

pure virtual

Transform PCE coefficients to quadrature values.

input is a vector storing polynomial chaos coefficients and result will contain the resulting values at the quadrature points. input and result can have multiple columns for vector-valued functions and set trans to true if these (multi-) vectors are layed out in a transposed fashion.

Implemented in Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >, Stokhos::SmolyakPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >, and Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

◆ transformQP2PCE()

template<typename ordinal_t , typename value_t , typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

virtual void Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::transformQP2PCE	(	const value_type &	alpha,
		const Teuchos::SerialDenseMatrix< ordinal_type, value_type > &	input,
		Teuchos::SerialDenseMatrix< ordinal_type, value_type > &	result,
		const value_type &	beta,
		bool	trans = `false`
	)		const

pure virtual

Transform values at quadrature points to PCE coefficients.

input is a vector storing values of a function at the quadrature points, and result will contain the resulting polynomial chaos coefficients. input and result can have multiple columns for vector-valued functions and set trans to true if these (multi-) vectors are layed out in a transposed fashion.

Implemented in Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >, Stokhos::SmolyakPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >, and Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

The documentation for this class was generated from the following file:

Stokhos_PseudoSpectralOperator.hpp

Public Types

Public Member Functions

Detailed Description

Member Function Documentation

◆ begin() [1/2]

◆ begin() [2/2]

◆ coeff_size()

◆ end() [1/2]

◆ end() [2/2]

◆ index()

◆ point()

◆ point_size()

◆ set_begin() [1/2]

◆ set_begin() [2/2]

◆ set_end() [1/2]

◆ set_end() [2/2]

◆ transformPCE2QP()

◆ transformQP2PCE()