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Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type > Class Template Reference

Othogonal polynomial expansions based on derivative calculations. More...

#include <Stokhos_DerivOrthogPolyExpansion.hpp>

Inheritance diagram for Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >:
Inheritance graph
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Classes

struct  acos_quad_func
 
struct  acosh_quad_func
 
struct  asin_quad_func
 
struct  asinh_quad_func
 
struct  atan_quad_func
 
struct  atanh_quad_func
 

Public Types

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

Public Member Functions

 DerivOrthogPolyExpansion (const Teuchos::RCP< const DerivBasis< ordinal_type, value_type > > &basis, const Teuchos::RCP< const Teuchos::SerialDenseMatrix< ordinal_type, value_type > > &Bij, const Teuchos::RCP< const Stokhos::Sparse3Tensor< ordinal_type, value_type > > &Cijk, const Teuchos::RCP< const Stokhos::Dense3Tensor< ordinal_type, value_type > > &Dijk)
 Constructor. More...
 
virtual ~DerivOrthogPolyExpansion ()
 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, 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 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 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 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 sincos (OrthogPolyApprox< ordinal_type, value_type, node_type > &s, OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
 
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 sinhcosh (OrthogPolyApprox< ordinal_type, value_type, node_type > &s, 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)
 
template<typename OpT >
void quad (const OpT &quad_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)
 
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 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)
 
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)
 
void derivative (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
 
- Public Member Functions inherited from Stokhos::OrthogPolyExpansion< ordinal_type, value_type >
 OrthogPolyExpansion ()
 Constructor. More...
 
virtual ~OrthogPolyExpansion ()
 Destructor. More...
 

Protected Member Functions

ordinal_type solve (ordinal_type s, ordinal_type nrhs)
 Solve linear system. More...
 

Protected Attributes

Teuchos::RCP< const
Stokhos::DerivBasis
< ordinal_type, value_type > > 		basis
 Basis. More...
 
Teuchos::RCP< const
Teuchos::SerialDenseMatrix
< ordinal_type, value_type > > 		Bij
 Derivative double-product tensor. More...
 
Teuchos::RCP< const
Stokhos::Sparse3Tensor
< ordinal_type, value_type > > 		Cijk
 Triple-product tensor. More...
 
Teuchos::RCP< const
Stokhos::Dense3Tensor
< ordinal_type, value_type > > 		Dijk
 Derivative Triple-product tensor. More...
 
ordinal_type sz
 Workspace size. More...
 
Teuchos::SerialDenseMatrix
< ordinal_type, value_type > 		A
 Matrix. More...
 
Teuchos::SerialDenseMatrix
< ordinal_type, value_type > 		B
 RHS. More...
 
Teuchos::Array< ordinal_type > piv
 Pivot array. More...
 
Teuchos::LAPACK< ordinal_type,
value_type > 		lapack
 LAPACK wrappers. More...
 

Private Member Functions

 DerivOrthogPolyExpansion (const DerivOrthogPolyExpansion &)
 
DerivOrthogPolyExpansion & operator= (const DerivOrthogPolyExpansion &b)
 

Detailed Description

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

Othogonal polynomial expansions based on derivative calculations.

Definition at line 26 of file Stokhos_DerivOrthogPolyExpansion.hpp.

Member Typedef Documentation

template<typename ordinal_type, typename value_type>
typedef Stokhos::StandardStorage<ordinal_type, value_type> Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::node_type

Definition at line 29 of file Stokhos_DerivOrthogPolyExpansion.hpp.

Constructor & Destructor Documentation

template<typename ordinal_type, typename value_type>
Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::DerivOrthogPolyExpansion ( const Teuchos::RCP< const DerivBasis< ordinal_type, value_type > > &  basis,
const Teuchos::RCP< const Teuchos::SerialDenseMatrix< ordinal_type, value_type > > &  Bij,
const Teuchos::RCP< const Stokhos::Sparse3Tensor< ordinal_type, value_type > > &  Cijk,
const Teuchos::RCP< const Stokhos::Dense3Tensor< ordinal_type, value_type > > &  Dijk 
)

Constructor.

Definition at line 15 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
virtual Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::~DerivOrthogPolyExpansion ( )
inlinevirtual

Destructor.

Definition at line 39 of file Stokhos_DerivOrthogPolyExpansion.hpp.

template<typename ordinal_type, typename value_type>
Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::DerivOrthogPolyExpansion ( const DerivOrthogPolyExpansion< ordinal_type, value_type > &  )
private

Member Function Documentation

template<typename ordinal_type, typename value_type>
ordinal_type Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::size ( ) const
inlinevirtual

Get expansion size.

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type >.

Definition at line 42 of file Stokhos_DerivOrthogPolyExpansion.hpp.

template<typename ordinal_type, typename value_type>
Teuchos::RCP<const OrthogPolyBasis<ordinal_type, value_type> > Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::getBasis ( ) const
inlinevirtual

Get basis.

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type >.

Definition at line 46 of file Stokhos_DerivOrthogPolyExpansion.hpp.

template<typename ordinal_type, typename value_type>
virtual Teuchos::RCP<const Sparse3Tensor<ordinal_type, value_type> > Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::getTripleProduct ( ) const
inlinevirtual

Get triple product.

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type >.

Definition at line 50 of file Stokhos_DerivOrthogPolyExpansion.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::unaryMinus ( 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 >.

Definition at line 66 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::plusEqual ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > &  c,
const value_type &  x 
)
virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type >.

Definition at line 84 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::minusEqual ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > &  c,
const value_type &  x 
)
virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type >.

Definition at line 93 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::timesEqual ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > &  c,
const value_type &  x 
)
virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type >.

Definition at line 102 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::divideEqual ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > &  c,
const value_type &  x 
)
virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type >.

Definition at line 114 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::plusEqual ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > &  c,
const OrthogPolyApprox< ordinal_type, value_type, node_type > &  x 
)
virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type >.

Definition at line 126 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::minusEqual ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > &  c,
const OrthogPolyApprox< ordinal_type, value_type, node_type > &  x 
)
virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type >.

Definition at line 143 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::timesEqual ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > &  c,
const OrthogPolyApprox< ordinal_type, value_type, node_type > &  x 
)
virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type >.

Definition at line 160 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::divideEqual ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > &  c,
const OrthogPolyApprox< ordinal_type, value_type, node_type > &  x 
)
virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type >.

Definition at line 214 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::plus ( 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 >.

Definition at line 280 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::plus ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > &  c,
const value_type &  a,
const OrthogPolyApprox< ordinal_type, value_type, node_type > &  b 
)
virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type >.

Definition at line 311 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::plus ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > &  c,
const OrthogPolyApprox< ordinal_type, value_type, node_type > &  a,
const value_type &  b 
)
virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type >.

Definition at line 330 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::minus ( 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 >.

Definition at line 349 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::minus ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > &  c,
const value_type &  a,
const OrthogPolyApprox< ordinal_type, value_type, node_type > &  b 
)
virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type >.

Definition at line 380 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::minus ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > &  c,
const OrthogPolyApprox< ordinal_type, value_type, node_type > &  a,
const value_type &  b 
)
virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type >.

Definition at line 399 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_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

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type >.

Definition at line 418 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::times ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > &  c,
const value_type &  a,
const OrthogPolyApprox< ordinal_type, value_type, node_type > &  b 
)
virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type >.

Definition at line 470 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::times ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > &  c,
const OrthogPolyApprox< ordinal_type, value_type, node_type > &  a,
const value_type &  b 
)
virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type >.

Definition at line 488 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_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

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type >.

Definition at line 506 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::divide ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > &  c,
const value_type &  a,
const OrthogPolyApprox< ordinal_type, value_type, node_type > &  b 
)
virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type >.

Definition at line 575 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::divide ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > &  c,
const OrthogPolyApprox< ordinal_type, value_type, node_type > &  a,
const value_type &  b 
)
virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type >.

Definition at line 635 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_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 >.

Definition at line 653 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_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 >.

Definition at line 715 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_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 >.

Definition at line 775 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_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 >.

Definition at line 792 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_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 >.

Definition at line 810 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_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 >.

Definition at line 828 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::pow ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > &  c,
const value_type &  a,
const OrthogPolyApprox< ordinal_type, value_type, node_type > &  b 
)
virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type >.

Definition at line 847 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::pow ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > &  c,
const OrthogPolyApprox< ordinal_type, value_type, node_type > &  a,
const value_type &  b 
)
virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type >.

Definition at line 865 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::sincos ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > &  s,
Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > &  c,
const OrthogPolyApprox< ordinal_type, value_type, node_type > &  a 
)

Definition at line 884 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_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 >.

Definition at line 1005 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_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 >.

Definition at line 988 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_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 >.

Definition at line 1022 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::sinhcosh ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > &  s,
Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > &  c,
const OrthogPolyApprox< ordinal_type, value_type, node_type > &  a 
)

Definition at line 1040 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_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 >.

Definition at line 1159 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_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 >.

Definition at line 1142 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_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 >.

Definition at line 1176 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
template<typename OpT >
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::quad ( const OpT &  quad_func,
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 
)

Definition at line 1195 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_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 >.

Definition at line 1253 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_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 >.

Definition at line 1273 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_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 >.

Definition at line 1292 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_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 >.

Definition at line 1337 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_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 >.

Definition at line 1356 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_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 >.

Definition at line 1375 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::abs ( 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 >.

Definition at line 1405 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::fabs ( 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 >.

Definition at line 1393 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::max ( 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 >.

Definition at line 1417 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::max ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > &  c,
const value_type &  a,
const OrthogPolyApprox< ordinal_type, value_type, node_type > &  b 
)
virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type >.

Definition at line 1430 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::max ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > &  c,
const OrthogPolyApprox< ordinal_type, value_type, node_type > &  a,
const value_type &  b 
)
virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type >.

Definition at line 1445 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::min ( 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 >.

Definition at line 1460 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::min ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > &  c,
const value_type &  a,
const OrthogPolyApprox< ordinal_type, value_type, node_type > &  b 
)
virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type >.

Definition at line 1473 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::min ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > &  c,
const OrthogPolyApprox< ordinal_type, value_type, node_type > &  a,
const value_type &  b 
)
virtual

Implements Stokhos::OrthogPolyExpansion< ordinal_type, value_type >.

Definition at line 1488 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
void Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::derivative ( Stokhos::OrthogPolyApprox< ordinal_type, value_type, node_type > &  c,
const OrthogPolyApprox< ordinal_type, value_type, node_type > &  a 
)

Definition at line 1503 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

template<typename ordinal_type, typename value_type>
DerivOrthogPolyExpansion& Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::operator= ( const DerivOrthogPolyExpansion< ordinal_type, value_type > &  b)
private
template<typename ordinal_type, typename value_type >
ordinal_type Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::solve ( ordinal_type  s,
ordinal_type  nrhs 
)
protected

Solve linear system.

Definition at line 39 of file Stokhos_DerivOrthogPolyExpansionImp.hpp.

Member Data Documentation

template<typename ordinal_type, typename value_type>
Teuchos::RCP< const Stokhos::DerivBasis<ordinal_type, value_type> > Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::basis
protected

Basis.

Definition at line 215 of file Stokhos_DerivOrthogPolyExpansion.hpp.

template<typename ordinal_type, typename value_type>
Teuchos::RCP<const Teuchos::SerialDenseMatrix<ordinal_type, value_type> > Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::Bij
protected

Derivative double-product tensor.

Definition at line 218 of file Stokhos_DerivOrthogPolyExpansion.hpp.

template<typename ordinal_type, typename value_type>
Teuchos::RCP<const Stokhos::Sparse3Tensor<ordinal_type, value_type> > Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::Cijk
protected

Triple-product tensor.

Definition at line 221 of file Stokhos_DerivOrthogPolyExpansion.hpp.

template<typename ordinal_type, typename value_type>
Teuchos::RCP<const Stokhos::Dense3Tensor<ordinal_type, value_type> > Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::Dijk
protected

Derivative Triple-product tensor.

Definition at line 224 of file Stokhos_DerivOrthogPolyExpansion.hpp.

template<typename ordinal_type, typename value_type>
ordinal_type Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::sz
protected

Workspace size.

Definition at line 227 of file Stokhos_DerivOrthogPolyExpansion.hpp.

template<typename ordinal_type, typename value_type>
Teuchos::SerialDenseMatrix<ordinal_type, value_type> Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::A
protected

Matrix.

Definition at line 230 of file Stokhos_DerivOrthogPolyExpansion.hpp.

template<typename ordinal_type, typename value_type>
Teuchos::SerialDenseMatrix<ordinal_type, value_type> Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::B
protected

RHS.

Definition at line 233 of file Stokhos_DerivOrthogPolyExpansion.hpp.

template<typename ordinal_type, typename value_type>
Teuchos::Array<ordinal_type> Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::piv
protected

Pivot array.

Definition at line 236 of file Stokhos_DerivOrthogPolyExpansion.hpp.

template<typename ordinal_type, typename value_type>
Teuchos::LAPACK<ordinal_type,value_type> Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type >::lapack
protected

LAPACK wrappers.

Definition at line 239 of file Stokhos_DerivOrthogPolyExpansion.hpp.

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