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

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

• Stokhos_QuadOrthogPolyExpansion.hpp
• Stokhos_QuadOrthogPolyExpansionImp.hpp