Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type > Class Template Reference

Orthogonal polynomial expansions based on numerical quadrature. More...

#include <Stokhos_QuadOrthogPolyExpansion.hpp>

Inheritance diagram for Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >:

Collaboration diagram for Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >:

Classes
struct	times_quad_func
struct	div_quad_func
struct	exp_quad_func
struct	log_quad_func
struct	log10_quad_func
struct	sqrt_quad_func
struct	cbrt_quad_func
struct	pow_quad_func
struct	cos_quad_func
struct	sin_quad_func
struct	tan_quad_func
struct	cosh_quad_func
struct	sinh_quad_func
struct	tanh_quad_func
struct	acos_quad_func
struct	asin_quad_func
struct	atan_quad_func
struct	atan2_quad_func
struct	acosh_quad_func
struct	asinh_quad_func
struct	atanh_quad_func

Public Member Functions
	QuadOrthogPolyExpansion (const Teuchos::RCP< const OrthogPolyBasis< ordinal_type, value_type > > &basis, const Teuchos::RCP< const Stokhos::Sparse3Tensor< ordinal_type, value_type > > &Cijk, const Teuchos::RCP< const Quadrature< ordinal_type, value_type > > &quad, const Teuchos::RCP< Teuchos::ParameterList > &params=Teuchos::null)
	Constructor.
virtual	~QuadOrthogPolyExpansion ()
	Destructor.
void	timesEqual (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const value_type &x)
void	divideEqual (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const value_type &x)
void	timesEqual (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &x)
void	divideEqual (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &x)
void	times (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	times (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const value_type &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	times (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const value_type &b)
void	divide (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	divide (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const value_type &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	divide (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const value_type &b)
void	exp (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	log (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	log10 (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	sqrt (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	cbrt (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	pow (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	pow (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const value_type &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	pow (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const value_type &b)
void	cos (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	sin (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	tan (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	cosh (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	sinh (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	tanh (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	acos (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	asin (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	atan (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	atan2 (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	atan2 (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const value_type &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	atan2 (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const value_type &b)
void	acosh (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	asinh (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	atanh (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
template<typename FuncT>
void	nary_op (const FuncT &func, OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > **a)
template<typename ExprT1, typename ExprT2>
value_type	compute_times_coeff (ordinal_type k, const ExprT1 &a, const ExprT2 &b) const
template<typename ExprT1, typename ExprT2>
value_type	fast_compute_times_coeff (ordinal_type k, const ExprT1 &a, const ExprT2 &b) const
template<typename FuncT>
void	unary_op (const FuncT &func, OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
	Nonlinear unary function.
template<typename FuncT>
void	binary_op (const FuncT &func, OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
	Nonlinear binary function.
template<typename FuncT>
void	binary_op (const FuncT &func, OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const value_type &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
	Nonlinear binary function.
template<typename FuncT>
void	binary_op (const FuncT &func, OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const value_type &b)
	Nonlinear binary function.
Public Member Functions inherited from Stokhos::OrthogPolyExpansionBase< ordinal_type, value_type, node_type >
	OrthogPolyExpansionBase (const Teuchos::RCP< const OrthogPolyBasis< ordinal_type, value_type > > &basis, const Teuchos::RCP< const Stokhos::Sparse3Tensor< ordinal_type, value_type > > &Cijk, const Teuchos::RCP< Teuchos::ParameterList > &params=Teuchos::null)
	Constructor.
virtual	~OrthogPolyExpansionBase ()
	Destructor.
ordinal_type	size () const
	Get expansion size.
Teuchos::RCP< const OrthogPolyBasis< ordinal_type, value_type > >	getBasis () const
	Get basis.
virtual Teuchos::RCP< const Sparse3Tensor< ordinal_type, value_type > >	getTripleProduct () const
	Get triple product.
void	unaryMinus (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	plusEqual (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const value_type &x)
void	minusEqual (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const value_type &x)
void	plusEqual (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &x)
void	minusEqual (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &x)
void	timesEqual (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &x)
void	divideEqual (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &x)
void	plus (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	plus (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const value_type &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	plus (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const value_type &b)
void	minus (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	minus (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const value_type &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	minus (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const value_type &b)
void	times (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const value_type &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	times (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const value_type &b)
void	divide (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const value_type &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	divide (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const value_type &b)
void	abs (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	fabs (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	max (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	max (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const value_type &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	max (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const value_type &b)
void	min (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	min (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const value_type &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	min (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const value_type &b)
Public Member Functions inherited from Stokhos::OrthogPolyExpansion< ordinal_type, value_type, node_type >
	OrthogPolyExpansion ()
	Constructor.
virtual	~OrthogPolyExpansion ()
	Destructor.

Protected Types
typedef OrthogPolyExpansionBase< ordinal_type, value_type, node_type >::Cijk_type	Cijk_type
	Short-hand for Cijk.
Protected Types inherited from Stokhos::OrthogPolyExpansionBase< ordinal_type, value_type, node_type >
typedef Stokhos::Sparse3Tensor< ordinal_type, value_type >	Cijk_type
	Short-hand for Cijk.

Protected Attributes
Teuchos::RCP< const Quadrature< ordinal_type, value_type > >	quad
	Quadrature routine.
bool	use_quad_for_times
	Use quadrature for times functions.
bool	use_quad_for_division
	Use quadrature for division functions.
ordinal_type	sz
	Expansions size.
Teuchos::BLAS< ordinal_type, value_type >	blas
	BLAS wrappers.
const Teuchos::Array< Teuchos::Array< value_type > > &	quad_points
	Array of Quad points.
const Teuchos::Array< value_type > &	quad_weights
	Array of Quad weights.
const Teuchos::Array< Teuchos::Array< value_type > > &	quad_values
	Values of basis at Quad points.
const Teuchos::Array< value_type > &	norms
	Norms of basis vectors.
ordinal_type	nqp
	Number of Quad points.
Teuchos::Array< value_type >	avals
	Temporary array for values of first argument at quad points.
Teuchos::Array< value_type >	bvals
	Temporary array for values of second argument at quad points.
Teuchos::Array< Teuchos::Array< Teuchos::Array< value_type > > >	navals
	Temporary array for values of n-ary arguments at quad points.
Teuchos::Array< value_type >	fvals
	Temporary array for values of operation at quad points.
Teuchos::Array< value_type >	qv
	Reshaped quad values into 1D array.
Teuchos::Array< value_type >	sqv
	Quad values scaled by norms.
Protected Attributes inherited from Stokhos::OrthogPolyExpansionBase< ordinal_type, value_type, node_type >
Teuchos::RCP< const OrthogPolyBasis< ordinal_type, value_type > >	basis
	Basis.
Teuchos::RCP< const Stokhos::Sparse3Tensor< ordinal_type, value_type > >	Cijk
	Triple-product tensor.
Teuchos::RCP< Teuchos::ParameterList >	params
	Parameter list.
Teuchos::RCP< Stokhos::DivisionExpansionStrategy< ordinal_type, value_type, node_type > >	division_strategy
	Division expansion strategy.
ordinal_type	sz
	Expansions size.

Additional Inherited Members
Public Types inherited from Stokhos::OrthogPolyExpansion< ordinal_type, value_type, node_type >
typedef Sparse3Tensor< ordinal_type, value_type >	tp_type
	Typename of TripleProduct tensor.

Detailed Description

template<typename ordinal_type, typename value_type, typename node_type = Stokhos::StandardStorage<ordinal_type, value_type>>
class Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >

Orthogonal polynomial expansions based on numerical quadrature.

Constructor & Destructor Documentation

QuadOrthogPolyExpansion()

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

Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::QuadOrthogPolyExpansion	(	const Teuchos::RCP< const OrthogPolyBasis< ordinal_type, value_type > > &	basis,
		const Teuchos::RCP< const Stokhos::Sparse3Tensor< ordinal_type, value_type > > &	Cijk,
		const Teuchos::RCP< const Quadrature< ordinal_type, value_type > > &	quad,
		const Teuchos::RCP< Teuchos::ParameterList > &	params = Teuchos::null )

Constructor.

References Stokhos::OrthogPolyExpansionBase< ordinal_type, value_type, node_type >::basis, Stokhos::OrthogPolyExpansionBase< ordinal_type, value_type, node_type >::Cijk, Stokhos::OrthogPolyExpansionBase< ordinal_type, value_type, node_type >::params, and quad.

Member Function Documentation

acos()

template<typename ordinal_type, typename value_type, typename node_type>

void Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::acos ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > & c, const OrthogPolyApprox< ordinal_type, value_type, node_type > & a )

virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type, node_type >.

acosh()

template<typename ordinal_type, typename value_type, typename node_type>

void Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::acosh ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > & c, const OrthogPolyApprox< ordinal_type, value_type, node_type > & a )

virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type, node_type >.

asin()

template<typename ordinal_type, typename value_type, typename node_type>

void Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::asin ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > & c, const OrthogPolyApprox< ordinal_type, value_type, node_type > & a )

virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type, node_type >.

asinh()

template<typename ordinal_type, typename value_type, typename node_type>

void Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::asinh ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > & c, const OrthogPolyApprox< ordinal_type, value_type, node_type > & a )

virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type, node_type >.

atan()

template<typename ordinal_type, typename value_type, typename node_type>

void Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::atan ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > & c, const OrthogPolyApprox< ordinal_type, value_type, node_type > & a )

virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type, node_type >.

atanh()

template<typename ordinal_type, typename value_type, typename node_type>

void Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::atanh ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > & c, const OrthogPolyApprox< ordinal_type, value_type, node_type > & a )

virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type, node_type >.

binary_op() [1/3]

template<typename ordinal_type, typename value_type, typename node_type>

template<typename FuncT>

void Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::binary_op	(	const FuncT &	func,
		OrthogPolyApprox< ordinal_type, value_type, node_type > &	c,
		const OrthogPolyApprox< ordinal_type, value_type, node_type > &	a,
		const OrthogPolyApprox< ordinal_type, value_type, node_type > &	b )

Nonlinear binary function.

References avals, blas, bvals, Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::coeff(), fvals, nqp, quad_weights, qv, Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::resize(), Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::size(), Stokhos::ProductContainer< coeff_type >::size(), sqv, and sz.

binary_op() [2/3]

template<typename ordinal_type, typename value_type, typename node_type>

template<typename FuncT>

void Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::binary_op	(	const FuncT &	func,
		OrthogPolyApprox< ordinal_type, value_type, node_type > &	c,
		const OrthogPolyApprox< ordinal_type, value_type, node_type > &	a,
		const value_type &	b )

Nonlinear binary function.

References avals, blas, Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::coeff(), fvals, nqp, quad_weights, qv, Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::resize(), Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::size(), sqv, and sz.

binary_op() [3/3]

template<typename ordinal_type, typename value_type, typename node_type>

template<typename FuncT>

void Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::binary_op	(	const FuncT &	func,
		OrthogPolyApprox< ordinal_type, value_type, node_type > &	c,
		const value_type &	a,
		const OrthogPolyApprox< ordinal_type, value_type, node_type > &	b )

Nonlinear binary function.

References blas, bvals, Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::coeff(), fvals, nqp, quad_weights, qv, Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::resize(), Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::size(), Stokhos::ProductContainer< coeff_type >::size(), sqv, and sz.

cbrt()

template<typename ordinal_type, typename value_type, typename node_type>

void Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::cbrt ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > & c, const OrthogPolyApprox< ordinal_type, value_type, node_type > & a )

virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type, node_type >.

cos()

template<typename ordinal_type, typename value_type, typename node_type>

void Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::cos ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > & c, const OrthogPolyApprox< ordinal_type, value_type, node_type > & a )

virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type, node_type >.

cosh()

template<typename ordinal_type, typename value_type, typename node_type>

void Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::cosh ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > & c, const OrthogPolyApprox< ordinal_type, value_type, node_type > & a )

virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type, node_type >.

divide()

template<typename ordinal_type, typename value_type, typename node_type>

void Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::divide ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > & c, const OrthogPolyApprox< ordinal_type, value_type, node_type > & a, const OrthogPolyApprox< ordinal_type, value_type, node_type > & b )

virtual

Reimplemented from Stokhos::OrthogPolyExpansionBase< ordinal_type, value_type, node_type >.

divideEqual()

template<typename ordinal_type, typename value_type, typename node_type>

void Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::divideEqual ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > & c, const value_type & x )

virtual

Reimplemented from Stokhos::OrthogPolyExpansionBase< ordinal_type, value_type, node_type >.

exp()

template<typename ordinal_type, typename value_type, typename node_type>

void Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::exp ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > & c, const OrthogPolyApprox< ordinal_type, value_type, node_type > & a )

virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type, node_type >.

log()

template<typename ordinal_type, typename value_type, typename node_type>

void Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::log ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > & c, const OrthogPolyApprox< ordinal_type, value_type, node_type > & a )

virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type, node_type >.

log10()

template<typename ordinal_type, typename value_type, typename node_type>

void Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::log10 ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > & c, const OrthogPolyApprox< ordinal_type, value_type, node_type > & a )

virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type, node_type >.

pow()

template<typename ordinal_type, typename value_type, typename node_type>

void Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::pow ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > & c, const OrthogPolyApprox< ordinal_type, value_type, node_type > & a, const OrthogPolyApprox< ordinal_type, value_type, node_type > & b )

virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type, node_type >.

sin()

template<typename ordinal_type, typename value_type, typename node_type>

void Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::sin ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > & s, const OrthogPolyApprox< ordinal_type, value_type, node_type > & a )

virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type, node_type >.

sinh()

template<typename ordinal_type, typename value_type, typename node_type>

void Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::sinh ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > & s, const OrthogPolyApprox< ordinal_type, value_type, node_type > & a )

virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type, node_type >.

sqrt()

template<typename ordinal_type, typename value_type, typename node_type>

void Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::sqrt ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > & c, const OrthogPolyApprox< ordinal_type, value_type, node_type > & a )

virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type, node_type >.

tan()

template<typename ordinal_type, typename value_type, typename node_type>

void Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::tan ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > & t, const OrthogPolyApprox< ordinal_type, value_type, node_type > & a )

virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type, node_type >.

tanh()

template<typename ordinal_type, typename value_type, typename node_type>

void Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::tanh ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > & t, const OrthogPolyApprox< ordinal_type, value_type, node_type > & a )

virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type, node_type >.

times()

template<typename ordinal_type, typename value_type, typename node_type>

void Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::times ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > & c, const OrthogPolyApprox< ordinal_type, value_type, node_type > & a, const OrthogPolyApprox< ordinal_type, value_type, node_type > & b )

virtual

Reimplemented from Stokhos::OrthogPolyExpansionBase< ordinal_type, value_type, node_type >.

timesEqual()

template<typename ordinal_type, typename value_type, typename node_type>

void Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::timesEqual ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > & c, const value_type & x )

virtual

Reimplemented from Stokhos::OrthogPolyExpansionBase< ordinal_type, value_type, node_type >.

unary_op()

template<typename ordinal_type, typename value_type, typename node_type>

template<typename FuncT>

void Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::unary_op	(	const FuncT &	func,
		OrthogPolyApprox< ordinal_type, value_type, node_type > &	c,
		const OrthogPolyApprox< ordinal_type, value_type, node_type > &	a )

Nonlinear unary function.

References avals, blas, Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::coeff(), fvals, nqp, quad_weights, qv, Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::resize(), Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::size(), sqv, and sz.

Member Data Documentation

avals

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

Teuchos::Array<value_type> Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::avals

protected

Temporary array for values of first argument at quad points.

Referenced by binary_op(), binary_op(), and unary_op().

blas

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

Teuchos::BLAS<ordinal_type,value_type> Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::blas

protected

BLAS wrappers.

Referenced by binary_op(), binary_op(), binary_op(), and unary_op().

bvals

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

Teuchos::Array<value_type> Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::bvals

protected

Temporary array for values of second argument at quad points.

Referenced by binary_op(), and binary_op().

fvals

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

Teuchos::Array<value_type> Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::fvals

protected

Temporary array for values of operation at quad points.

Referenced by binary_op(), binary_op(), binary_op(), and unary_op().

nqp

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

ordinal_type Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::nqp

protected

Number of Quad points.

Referenced by binary_op(), binary_op(), binary_op(), and unary_op().

quad

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

Teuchos::RCP<const Quadrature<ordinal_type, value_type> > Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::quad

protected

Quadrature routine.

Referenced by QuadOrthogPolyExpansion().

quad_weights

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

const Teuchos::Array<value_type>& Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::quad_weights

protected

Array of Quad weights.

Referenced by binary_op(), binary_op(), binary_op(), and unary_op().

qv

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

Teuchos::Array<value_type> Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::qv

protected

Reshaped quad values into 1D array.

Referenced by binary_op(), binary_op(), binary_op(), and unary_op().

sqv

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

Teuchos::Array<value_type> Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::sqv

protected

Quad values scaled by norms.

Referenced by binary_op(), binary_op(), binary_op(), and unary_op().

sz

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

ordinal_type Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type, node_type >::sz

protected

Expansions size.

Referenced by binary_op(), binary_op(), binary_op(), and unary_op().

---

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

• Stokhos_QuadOrthogPolyExpansion.hpp
• Stokhos_QuadOrthogPolyExpansionImp.hpp