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Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type > Class Template Reference

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 >:
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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. More...
 
virtual ~QuadraturePseudoSpectralOperator ()
 Destructor. More...
 
ordinal_type point_size () const
 Number of points. More...
 
ordinal_type coeff_size () const
 Number of coefficients. More...
 
iterator begin ()
 Iterator to begining of point set. More...
 
iterator end ()
 Iterator to end of point set. More...
 
const_iterator begin () const
 Iterator to begining of point set. More...
 
const_iterator end () const
 Iterator to end of point set. More...
 
set_iterator set_begin ()
 Iterator to begining of point set. More...
 
set_iterator set_end ()
 Iterator to end of point set. More...
 
const_set_iterator set_begin () const
 Iterator to begining of point set. More...
 
const_set_iterator set_end () const
 Iterator to end of point set. More...
 
ordinal_type index (const point_type &point) const
 Get point index for given point. More...
 
const point_type & point (ordinal_type n) const
 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
 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
 Transform PCE coefficients to quadrature values. More...
 
- Public Member Functions inherited from Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >
 PseudoSpectralOperator ()
 Constructor. More...
 
virtual ~PseudoSpectralOperator ()
 Destructor. More...
 

Protected Attributes

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

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.

Definition at line 28 of file Stokhos_QuadraturePseudoSpectralOperator.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::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::ordinal_type

Definition at line 32 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

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

Definition at line 33 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>
typedef PseudoSpectralOperator<ordinal_type,value_type,point_compare_type> Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::base_type

Definition at line 34 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>
typedef base_type::point_type Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::point_type

Definition at line 35 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>
typedef base_type::point_set_type Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::point_set_type

Definition at line 36 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>
typedef base_type::point_map_type Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::point_map_type

Definition at line 37 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>
typedef base_type::iterator Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::iterator

Definition at line 38 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>
typedef base_type::const_iterator Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::const_iterator

Definition at line 39 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>
typedef base_type::set_iterator Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::set_iterator

Definition at line 40 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>
typedef base_type::const_set_iterator Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::const_set_iterator

Definition at line 41 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>
typedef MultiIndex<ordinal_type> Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::multiindex_type

Definition at line 43 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

Constructor & Destructor Documentation

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.

Definition at line 46 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>
virtual Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::~QuadraturePseudoSpectralOperator ( )
inlinevirtual

Destructor.

Definition at line 105 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

Member Function Documentation

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 >.

Definition at line 108 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

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 >.

Definition at line 111 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

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 >.

Definition at line 114 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

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 >.

Definition at line 117 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

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 >.

Definition at line 120 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

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 >.

Definition at line 123 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

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 >.

Definition at line 126 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

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 >.

Definition at line 129 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

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 >.

Definition at line 132 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

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 >.

Definition at line 135 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

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 >.

Definition at line 138 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

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 >.

Definition at line 146 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

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 >.

Definition at line 156 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

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 >.

Definition at line 180 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

Member Data Documentation

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.

Definition at line 209 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

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.

Definition at line 212 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

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.

Definition at line 215 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

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.

Definition at line 218 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

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.

Definition at line 221 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

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.

Definition at line 224 of file Stokhos_QuadraturePseudoSpectralOperator.hpp.

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