Class to store coefficients of a projection onto an orthogonal polynomial basis. More...

#include <Stokhos_OrthogPolyApprox.hpp>

Inheritance diagram for Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >:

Public Types
typedef storage_type::reference	reference

typedef storage_type::const_reference	const_reference

typedef storage_type::pointer	pointer

typedef storage_type::const_pointer	const_pointer

Public Member Functions
	OrthogPolyApprox (const Teuchos::RCP< const Stokhos::OrthogPolyBasis< ordinal_type, value_type > > &basis=Teuchos::null, ordinal_type sz=0, const value_type *vals=NULL)
	Constructor with supplied size `sz`. More...

	OrthogPolyApprox (const OrthogPolyApprox &x)
	Copy constructor. More...

	~OrthogPolyApprox ()
	Destructor. More...

OrthogPolyApprox &	operator= (const OrthogPolyApprox &x)
	Assignment operator (deep copy) More...

OrthogPolyApprox &	operator= (const value_type &v)
	Assignment operator with scalar. More...

void	init (const value_type &v)
	Initialize coefficients to value. More...

void	init (const value_type *v)
	Initialize coefficients to an array of values. More...

template<typename S >
void	init (const OrthogPolyApprox< ordinal_type, value_type, S > &v)
	Initialize coefficients from an OrthogPolyApprox with different storage. More...

void	load (value_type *v)
	Load coefficients to an array of values. More...

template<typename S >
void	load (OrthogPolyApprox< ordinal_type, value_type, S > &v)
	Load coefficients into an OrthogPolyApprox with different storage. More...

Teuchos::RCP< const Stokhos::OrthogPolyBasis < ordinal_type, value_type > >	basis () const
	Return basis. More...

void	reset (const Teuchos::RCP< const Stokhos::OrthogPolyBasis< ordinal_type, value_type > > &new_basis, ordinal_type sz=0)
	Reset to a new basis. More...

void	resize (ordinal_type sz)
	Resize coefficient array (coefficients are preserved) More...

ordinal_type	size () const
	Return size. More...

pointer	coeff ()
	Return coefficient array. More...

const_pointer	coeff () const
	Return coefficient array. More...

reference	operator[] (ordinal_type i)
	Array access. More...

const_reference	operator[] (ordinal_type i) const
	Array access. More...

reference	term (ordinal_type dimension, ordinal_type order)
	Get coefficient term for given dimension and order. More...

const_reference	term (ordinal_type dimension, ordinal_type order) const
	Get coefficient term for given dimension and order. More...

const MultiIndex< ordinal_type > &	order (ordinal_type term) const
	Get orders for a given term. More...

value_type	evaluate (const Teuchos::Array< value_type > &point) const
	Evaluate polynomial approximation at a point. More...

value_type	evaluate (const Teuchos::Array< value_type > &point, const Teuchos::Array< value_type > &basis_vals) const
	Evaluate polynomial approximation at a point with supplied basis values. More...

value_type	mean () const
	Compute mean of expansion. More...

value_type	standard_deviation () const
	Compute standard deviation of expansion. More...

value_type	two_norm () const
	Compute the two-norm of expansion. More...

value_type	two_norm_squared () const
	Compute the squared two-norm of expansion. More...

value_type	inner_product (const OrthogPolyApprox &b) const
	Compute the L2 inner product of 2 PCEs. More...

std::ostream &	print (std::ostream &os) const
	Print approximation in basis. More...

Protected Attributes
Teuchos::RCP< const Stokhos::OrthogPolyBasis < ordinal_type, value_type > >	basis_
	Basis expansion is relative to. More...

storage_type	coeff_
	OrthogPolyApprox coefficients. More...

Detailed Description

template<typename ordinal_type, typename value_type, typename storage_type = Stokhos::StandardStorage<ordinal_type, value_type>>
class Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >

Class to store coefficients of a projection onto an orthogonal polynomial basis.

Definition at line 29 of file Stokhos_OrthogPolyApprox.hpp.

Member Typedef Documentation

template<typename ordinal_type, typename value_type, typename storage_type = Stokhos::StandardStorage<ordinal_type, value_type>>

typedef storage_type::reference Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::reference

Definition at line 32 of file Stokhos_OrthogPolyApprox.hpp.

template<typename ordinal_type, typename value_type, typename storage_type = Stokhos::StandardStorage<ordinal_type, value_type>>

typedef storage_type::const_reference Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::const_reference

Definition at line 33 of file Stokhos_OrthogPolyApprox.hpp.

template<typename ordinal_type, typename value_type, typename storage_type = Stokhos::StandardStorage<ordinal_type, value_type>>

typedef storage_type::pointer Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::pointer

Definition at line 34 of file Stokhos_OrthogPolyApprox.hpp.

template<typename ordinal_type, typename value_type, typename storage_type = Stokhos::StandardStorage<ordinal_type, value_type>>

typedef storage_type::const_pointer Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::const_pointer

Definition at line 35 of file Stokhos_OrthogPolyApprox.hpp.

Constructor & Destructor Documentation

template<typename ordinal_type, typename value_type, typename storage_type >

Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::OrthogPolyApprox	(	const Teuchos::RCP< const Stokhos::OrthogPolyBasis< ordinal_type, value_type > > &	basis = `Teuchos::null`,
		ordinal_type	sz = `0`,
		const value_type *	vals = `NULL`
	)

Constructor with supplied size sz.

Normally sz should equal the basis size, however this is not enforced since other situations can arise, e.g., using a size of 1 for a constant expansion. If sz = 0, it is computed from the basis size (and is 1 if basis is null).

Definition at line 14 of file Stokhos_OrthogPolyApproxImp.hpp.

template<typename ordinal_type, typename value_type, typename storage_type = Stokhos::StandardStorage<ordinal_type, value_type>>

Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::OrthogPolyApprox ( const OrthogPolyApprox< ordinal_type, value_type, storage_type > & x )

Copy constructor.

template<typename ordinal_type , typename value_type , typename storage_type >

Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::~OrthogPolyApprox ( )

Destructor.

Definition at line 41 of file Stokhos_OrthogPolyApproxImp.hpp.

Member Function Documentation

template<typename ordinal_type, typename value_type, typename storage_type = Stokhos::StandardStorage<ordinal_type, value_type>>

OrthogPolyApprox& Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::operator= ( const OrthogPolyApprox< ordinal_type, value_type, storage_type > & x )

Assignment operator (deep copy)

template<typename ordinal_type , typename value_type, typename storage_type >

Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type > & Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::operator= ( const value_type & v )

Assignment operator with scalar.

Definition at line 61 of file Stokhos_OrthogPolyApproxImp.hpp.

template<typename ordinal_type , typename value_type, typename storage_type >

void Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::init ( const value_type & v )

Initialize coefficients to value.

Definition at line 72 of file Stokhos_OrthogPolyApproxImp.hpp.

template<typename ordinal_type , typename value_type, typename storage_type >

void Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::init ( const value_type * v )

Initialize coefficients to an array of values.

Definition at line 80 of file Stokhos_OrthogPolyApproxImp.hpp.

template<typename ordinal_type, typename value_type, typename storage_type = Stokhos::StandardStorage<ordinal_type, value_type>>

template<typename S >

void Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::init ( const OrthogPolyApprox< ordinal_type, value_type, S > & v )

inline

Initialize coefficients from an OrthogPolyApprox with different storage.

Definition at line 69 of file Stokhos_OrthogPolyApprox.hpp.

template<typename ordinal_type , typename value_type, typename storage_type >

void Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::load ( value_type * v )

Load coefficients to an array of values.

Definition at line 88 of file Stokhos_OrthogPolyApproxImp.hpp.

template<typename ordinal_type, typename value_type, typename storage_type = Stokhos::StandardStorage<ordinal_type, value_type>>

template<typename S >

void Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::load ( OrthogPolyApprox< ordinal_type, value_type, S > & v )

inline

Load coefficients into an OrthogPolyApprox with different storage.

Definition at line 78 of file Stokhos_OrthogPolyApprox.hpp.

template<typename ordinal_type , typename value_type , typename storage_type >

Teuchos::RCP< const Stokhos::OrthogPolyBasis< ordinal_type, value_type > > Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::basis ( ) const

Return basis.

Definition at line 96 of file Stokhos_OrthogPolyApproxImp.hpp.

template<typename ordinal_type, typename value_type, typename storage_type >

void Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::reset	(	const Teuchos::RCP< const Stokhos::OrthogPolyBasis< ordinal_type, value_type > > &	new_basis,
		ordinal_type	sz = `0`
	)

Reset to a new basis.

This resizes array to fit new basis. Coefficients are preserved.

Definition at line 104 of file Stokhos_OrthogPolyApproxImp.hpp.

template<typename ordinal_type, typename value_type , typename storage_type >

void Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::resize ( ordinal_type sz )

Resize coefficient array (coefficients are preserved)

Definition at line 118 of file Stokhos_OrthogPolyApproxImp.hpp.

template<typename ordinal_type , typename value_type , typename storage_type >

ordinal_type Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::size ( ) const

Return size.

Definition at line 126 of file Stokhos_OrthogPolyApproxImp.hpp.

template<typename ordinal_type , typename value_type , typename storage_type >

Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::pointer Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::coeff ( )

Return coefficient array.

Definition at line 134 of file Stokhos_OrthogPolyApproxImp.hpp.

template<typename ordinal_type , typename value_type , typename storage_type >

Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::const_pointer Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::coeff ( ) const

Return coefficient array.

Definition at line 147 of file Stokhos_OrthogPolyApproxImp.hpp.

template<typename ordinal_type, typename value_type , typename storage_type >

Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::reference Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::operator[] ( ordinal_type i )

Array access.

Definition at line 160 of file Stokhos_OrthogPolyApproxImp.hpp.

template<typename ordinal_type, typename value_type , typename storage_type >

Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::const_reference Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::operator[] ( ordinal_type i ) const

Array access.

Definition at line 168 of file Stokhos_OrthogPolyApproxImp.hpp.

template<typename ordinal_type, typename value_type , typename storage_type >

Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::reference Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::term	(	ordinal_type	dimension,
		ordinal_type	order
	)

Get coefficient term for given dimension and order.

Definition at line 176 of file Stokhos_OrthogPolyApproxImp.hpp.

template<typename ordinal_type, typename value_type , typename storage_type >

Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::const_reference Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::term	(	ordinal_type	dimension,
		ordinal_type	order
	)		const

Get coefficient term for given dimension and order.

Definition at line 190 of file Stokhos_OrthogPolyApproxImp.hpp.

template<typename ordinal_type, typename value_type , typename storage_type >

const Stokhos::MultiIndex< ordinal_type > & Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::order ( ordinal_type term ) const

Get orders for a given term.

Definition at line 204 of file Stokhos_OrthogPolyApproxImp.hpp.

template<typename ordinal_type , typename value_type, typename storage_type >

value_type Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::evaluate ( const Teuchos::Array< value_type > & point ) const

Evaluate polynomial approximation at a point.

Definition at line 214 of file Stokhos_OrthogPolyApproxImp.hpp.

template<typename ordinal_type , typename value_type, typename storage_type >

value_type Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::evaluate	(	const Teuchos::Array< value_type > &	point,
		const Teuchos::Array< value_type > &	basis_vals
	)		const

Evaluate polynomial approximation at a point with supplied basis values.

Definition at line 224 of file Stokhos_OrthogPolyApproxImp.hpp.

template<typename ordinal_type , typename value_type , typename storage_type >

value_type Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::mean ( ) const

Compute mean of expansion.

Definition at line 237 of file Stokhos_OrthogPolyApproxImp.hpp.

template<typename ordinal_type , typename value_type , typename storage_type >

value_type Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::standard_deviation ( ) const

Compute standard deviation of expansion.

Definition at line 245 of file Stokhos_OrthogPolyApproxImp.hpp.

template<typename ordinal_type , typename value_type , typename storage_type >

value_type Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::two_norm ( ) const

Compute the two-norm of expansion.

Definition at line 258 of file Stokhos_OrthogPolyApproxImp.hpp.

template<typename ordinal_type , typename value_type , typename storage_type >

value_type Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::two_norm_squared ( ) const

Compute the squared two-norm of expansion.

Definition at line 266 of file Stokhos_OrthogPolyApproxImp.hpp.

template<typename ordinal_type, typename value_type, typename storage_type = Stokhos::StandardStorage<ordinal_type, value_type>>

value_type Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::inner_product ( const OrthogPolyApprox< ordinal_type, value_type, storage_type > & b ) const

Compute the L2 inner product of 2 PCEs.

Definition at line 285 of file Stokhos_OrthogPolyApproxImp.hpp.

template<typename ordinal_type , typename value_type , typename storage_type >

std::ostream & Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::print ( std::ostream & os ) const

Print approximation in basis.

Definition at line 312 of file Stokhos_OrthogPolyApproxImp.hpp.

Member Data Documentation

template<typename ordinal_type, typename value_type, typename storage_type = Stokhos::StandardStorage<ordinal_type, value_type>>

Teuchos::RCP<const Stokhos::OrthogPolyBasis<ordinal_type, value_type> > Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::basis_

protected

Basis expansion is relative to.

Definition at line 147 of file Stokhos_OrthogPolyApprox.hpp.

template<typename ordinal_type, typename value_type, typename storage_type = Stokhos::StandardStorage<ordinal_type, value_type>>

storage_type Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::coeff_

protected

OrthogPolyApprox coefficients.

Definition at line 150 of file Stokhos_OrthogPolyApprox.hpp.

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

Public Types

Public Member Functions

Protected Attributes

Detailed Description

template<typename ordinal_type, typename value_type, typename storage_type = Stokhos::StandardStorage<ordinal_type, value_type>> class Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<typename ordinal_type, typename value_type, typename storage_type = Stokhos::StandardStorage<ordinal_type, value_type>>
class Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >