Stokhos Package Browser (Single Doxygen Collection): Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type > Class Template Reference

Stokhos Package Browser (Single Doxygen Collection) Version of the Day

All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Friends Macros Groups Pages

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 >:

Inheritance graph

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. More...

virtual	~PseudoSpectralOperator ()
	Destructor. More...

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

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

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

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

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

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

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

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

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

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

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

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

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. More...

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. More...

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.

Definition at line 34 of file Stokhos_PseudoSpectralOperator.hpp.

Member Typedef Documentation

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

typedef ordinal_t Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::ordinal_type

Definition at line 37 of file Stokhos_PseudoSpectralOperator.hpp.

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

typedef value_t Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::value_type

Definition at line 38 of file Stokhos_PseudoSpectralOperator.hpp.

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

typedef TensorProductElement<ordinal_type,value_type> Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::point_type

Definition at line 39 of file Stokhos_PseudoSpectralOperator.hpp.

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

typedef std::map<point_type, std::pair<value_type,ordinal_type>, point_compare_type> Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::point_set_type

Definition at line 41 of file Stokhos_PseudoSpectralOperator.hpp.

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

typedef Teuchos::Array<point_type> Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::point_map_type

Definition at line 42 of file Stokhos_PseudoSpectralOperator.hpp.

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

typedef point_map_type::iterator Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::iterator

Definition at line 44 of file Stokhos_PseudoSpectralOperator.hpp.

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

typedef point_map_type::const_iterator Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::const_iterator

Definition at line 45 of file Stokhos_PseudoSpectralOperator.hpp.

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

typedef point_set_type::iterator Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::set_iterator

Definition at line 46 of file Stokhos_PseudoSpectralOperator.hpp.

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

typedef point_set_type::const_iterator Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::const_set_iterator

Definition at line 47 of file Stokhos_PseudoSpectralOperator.hpp.

Constructor & Destructor Documentation

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

Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::PseudoSpectralOperator ( )

inline

Constructor.

Definition at line 50 of file Stokhos_PseudoSpectralOperator.hpp.

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

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

inlinevirtual

Destructor.

Definition at line 53 of file Stokhos_PseudoSpectralOperator.hpp.

Member Function Documentation

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Stokhos_PseudoSpectralOperator.hpp