Orthogonal polynomial expansions limited to algebraic operations. More...

#include <Stokhos_AlgebraicOrthogPolyExpansion.hpp>

Inheritance diagram for Stokhos::AlgebraicOrthogPolyExpansion< ordinal_type, value_type >:

Public Types
typedef Stokhos::StandardStorage < ordinal_type, value_type >	node_type

Public Types inherited from Stokhos::OrthogPolyExpansion< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > >
typedef Sparse3Tensor < ordinal_type, value_type >	tp_type
	Typename of TripleProduct tensor. More...

Public Member Functions
	AlgebraicOrthogPolyExpansion (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. More...

virtual	~AlgebraicOrthogPolyExpansion ()
	Destructor. More...

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)

Public Member Functions inherited from Stokhos::OrthogPolyExpansionBase< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_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. More...

virtual	~OrthogPolyExpansionBase ()
	Destructor. More...

ordinal_type	size () const
	Get expansion size. More...

Teuchos::RCP< const OrthogPolyBasis< ordinal_type, value_type > >	getBasis () const
	Get basis. More...

virtual Teuchos::RCP< const Sparse3Tensor< ordinal_type, value_type > >	getTripleProduct () const
	Get triple product. More...

void	unaryMinus (OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &c, const OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &a)

void	plusEqual (OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &c, const value_type &x)

void	plusEqual (OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &c, const OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &x)

void	minusEqual (OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &c, const value_type &x)

void	minusEqual (OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &c, const OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &x)

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

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

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

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

void	plus (OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &c, const OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &a, const OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &b)

void	plus (OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &c, const value_type &a, const OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &b)

void	plus (OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &c, const OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &a, const value_type &b)

void	minus (OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &c, const OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &a, const OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &b)

void	minus (OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &c, const value_type &a, const OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &b)

void	minus (OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &c, const OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &a, const value_type &b)

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

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

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

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

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

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

void	abs (OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &c, const OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &a)

void	fabs (OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &c, const OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &a)

void	max (OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &c, const OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &a, const OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &b)

void	max (OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &c, const value_type &a, const OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &b)

void	max (OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &c, const OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &a, const value_type &b)

void	min (OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &c, const OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &a, const OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &b)

void	min (OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &c, const value_type &a, const OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &b)

void	min (OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &c, const OrthogPolyApprox< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > > &a, const value_type &b)

Public Member Functions inherited from Stokhos::OrthogPolyExpansion< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > >
	OrthogPolyExpansion ()
	Constructor. More...

virtual	~OrthogPolyExpansion ()
	Destructor. More...

Protected Types
typedef OrthogPolyExpansionBase < ordinal_type, value_type, node_type >::Cijk_type	Cijk_type
	Short-hand for Cijk. More...

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

Private Member Functions
	AlgebraicOrthogPolyExpansion (const AlgebraicOrthogPolyExpansion &)

AlgebraicOrthogPolyExpansion &	operator= (const AlgebraicOrthogPolyExpansion &b)

Additional Inherited Members
Protected Attributes inherited from Stokhos::OrthogPolyExpansionBase< ordinal_type, value_type, Stokhos::StandardStorage< ordinal_type, value_type > >
Teuchos::RCP< const OrthogPolyBasis< ordinal_type, value_type > >	basis
	Basis. More...

Teuchos::RCP< const Stokhos::Sparse3Tensor < ordinal_type, value_type > >	Cijk
	Triple-product tensor. More...

Teuchos::RCP < Teuchos::ParameterList >	params
	Parameter list. More...

Teuchos::RCP < Stokhos::DivisionExpansionStrategy < ordinal_type, value_type, Stokhos::StandardStorage < ordinal_type, value_type > > >	division_strategy
	Division expansion strategy. More...

ordinal_type	sz
	Expansions size. More...

Detailed Description

template<typename ordinal_type, typename value_type>
class Stokhos::AlgebraicOrthogPolyExpansion< ordinal_type, value_type >

Orthogonal polynomial expansions limited to algebraic operations.

Implements +, -, *, / (with constant denominator), and other operations with constant arguments. Useful for problems that only involve algebraic operations, or constant non-algebraic operations in that it doesn't require creation of additional data structures (like sparse quadrature grids) that may take significant computational time.

Definition at line 62 of file Stokhos_AlgebraicOrthogPolyExpansion.hpp.