An operator for building pseudo-spectral coefficients using an arbitrary quadrature rule. More...

#include <Stokhos_QuadraturePseudoSpectralOperator.hpp>

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

Collaboration diagram for Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >:

Public Types
typedef ordinal_t	ordinal_type
typedef value_t	value_type
typedef PseudoSpectralOperator< ordinal_type, value_type, point_compare_type >	base_type
typedef base_type::point_type	point_type
typedef base_type::point_set_type	point_set_type
typedef base_type::point_map_type	point_map_type
typedef base_type::iterator	iterator
typedef base_type::const_iterator	const_iterator
typedef base_type::set_iterator	set_iterator
typedef base_type::const_set_iterator	const_set_iterator
typedef MultiIndex< ordinal_type >	multiindex_type
Public Types inherited from Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >
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
	QuadraturePseudoSpectralOperator (const OrthogPolyBasis< ordinal_type, value_type > &basis, const Quadrature< ordinal_type, value_type > &quad, const point_compare_type &point_compare=point_compare_type())
	Constructor.
virtual	~QuadraturePseudoSpectralOperator ()
	Destructor.
ordinal_type	point_size () const
	Number of points.
ordinal_type	coeff_size () const
	Number of coefficients.
iterator	begin ()
	Iterator to begining of point set.
iterator	end ()
	Iterator to end of point set.
const_iterator	begin () const
	Iterator to begining of point set.
const_iterator	end () const
	Iterator to end of point set.
set_iterator	set_begin ()
	Iterator to begining of point set.
set_iterator	set_end ()
	Iterator to end of point set.
const_set_iterator	set_begin () const
	Iterator to begining of point set.
const_set_iterator	set_end () const
	Iterator to end of point set.
ordinal_type	index (const point_type &point) const
	Get point index for given point.
const point_type &	point (ordinal_type n) const
	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
	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
	Transform PCE coefficients to quadrature values.
Public Member Functions inherited from Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >
	PseudoSpectralOperator ()
	Constructor.
virtual	~PseudoSpectralOperator ()
	Destructor.

Protected Attributes
ordinal_type	coeff_sz
	Number of coefficients.
point_set_type	points
	Quadrature points.
point_map_type	point_map
	Map index to point term.
Teuchos::SerialDenseMatrix< ordinal_type, value_type >	qp2pce
	Matrix mapping points to coefficients.
Teuchos::SerialDenseMatrix< ordinal_type, value_type >	pce2qp
	Matrix mapping coefficients to points.
Teuchos::BLAS< ordinal_type, value_type >	blas
	BLAS wrappers.

Detailed Description

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

An operator for building pseudo-spectral coefficients using an arbitrary quadrature rule.

Constructor & Destructor Documentation

◆ QuadraturePseudoSpectralOperator()

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

Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::QuadraturePseudoSpectralOperator	(	const OrthogPolyBasis< ordinal_type, value_type > &	basis,
		const Quadrature< ordinal_type, value_type > &	quad,
		const point_compare_type &	point_compare = point_compare_type() )

inline

Constructor.

References coeff_sz, Stokhos::OrthogPolyBasis< ordinal_type, value_type >::dimension(), Stokhos::Quadrature< ordinal_type, value_type >::getBasisAtQuadPoints(), Stokhos::Quadrature< ordinal_type, value_type >::getQuadPoints(), Stokhos::Quadrature< ordinal_type, value_type >::getQuadWeights(), Stokhos::OrthogPolyBasis< ordinal_type, value_type >::norm_squared(), pce2qp, point_map, points, qp2pce, Stokhos::OrthogPolyBasis< ordinal_type, value_type >::size(), and Stokhos::Quadrature< ordinal_type, value_type >::size().

Member Function Documentation

◆ begin() [1/2]

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

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

inlinevirtual

Iterator to begining of point set.

Implements Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

References point_map.

◆ begin() [2/2]

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

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

inlinevirtual

Iterator to begining of point set.

Implements Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

References point_map.

◆ coeff_size()

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

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

inlinevirtual

Number of coefficients.

Implements Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

References coeff_sz.

◆ end() [1/2]

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

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

inlinevirtual

Iterator to end of point set.

Implements Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

References point_map.

◆ end() [2/2]

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

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

inlinevirtual

Iterator to end of point set.

Implements Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

References point_map.

◆ index()

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

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

inlinevirtual

Get point index for given point.

Implements Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

References point(), and points.

◆ point()

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

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

inlinevirtual

Get point for given index.

Implements Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

References point_map.

Referenced by index().

◆ point_size()

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

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

inlinevirtual

Number of points.

Implements Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

References points.

◆ set_begin() [1/2]

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

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

inlinevirtual

Iterator to begining of point set.

Implements Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

References points.

◆ set_begin() [2/2]

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

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

inlinevirtual

Iterator to begining of point set.

Implements Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

References points.

◆ set_end() [1/2]

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

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

inlinevirtual

Iterator to end of point set.

Implements Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

References points.

◆ set_end() [2/2]

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

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

inlinevirtual

Iterator to end of point set.

Implements Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

References points.

◆ transformPCE2QP()

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

virtual void Stokhos::QuadraturePseudoSpectralOperator< 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

inlinevirtual

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.

Implements Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

References blas, and pce2qp.

◆ transformQP2PCE()

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

virtual void Stokhos::QuadraturePseudoSpectralOperator< 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

inlinevirtual

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.

Implements Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

References qp2pce.

Member Data Documentation

◆ blas

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

Teuchos::BLAS<ordinal_type,value_type> Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::blas

protected

BLAS wrappers.

Referenced by transformPCE2QP().

◆ coeff_sz

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

ordinal_type Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::coeff_sz

protected

Number of coefficients.

Referenced by coeff_size(), and QuadraturePseudoSpectralOperator().

◆ pce2qp

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

Teuchos::SerialDenseMatrix<ordinal_type,value_type> Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::pce2qp

protected

Matrix mapping coefficients to points.

Referenced by QuadraturePseudoSpectralOperator(), and transformPCE2QP().

◆ point_map

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

point_map_type Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::point_map

protected

Map index to point term.

Referenced by begin(), begin(), end(), end(), point(), and QuadraturePseudoSpectralOperator().

◆ points

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

point_set_type Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::points

protected

Quadrature points.

Referenced by index(), point_size(), QuadraturePseudoSpectralOperator(), set_begin(), set_begin(), set_end(), and set_end().

◆ qp2pce

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

Teuchos::SerialDenseMatrix<ordinal_type,value_type> Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::qp2pce

protected

Matrix mapping points to coefficients.

Referenced by QuadraturePseudoSpectralOperator(), and transformQP2PCE().

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

Stokhos_QuadraturePseudoSpectralOperator.hpp

Public Types

Public Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ QuadraturePseudoSpectralOperator()

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()

Member Data Documentation

◆ blas

◆ coeff_sz

◆ pce2qp

◆ point_map

◆ points

◆ qp2pce