Stokhos::StochasticProductTensor< ValueType, TensorType, Device > Class Template Reference

Bases defined by combinatorial product of polynomial bases. More...

#include <Stokhos_StochasticProductTensor.hpp>

Public Types
typedef Device	execution_space
typedef ValueType	value_type
typedef TensorType	tensor_type
typedef tensor_type::size_type	size_type

Public Member Functions
	~StochasticProductTensor ()
	StochasticProductTensor ()
	StochasticProductTensor (const StochasticProductTensor &rhs)
StochasticProductTensor &	operator= (const StochasticProductTensor &rhs)
KOKKOS_INLINE_FUNCTION const tensor_type &	tensor () const
KOKKOS_INLINE_FUNCTION size_type	dimension () const
	Dimension: number of bases and length of the vector block (and tensor). More...
KOKKOS_INLINE_FUNCTION size_type	aligned_dimension () const
	Aligned dimension: length of the vector block properly aligned. More...
KOKKOS_INLINE_FUNCTION size_type	variable_count () const
	How many variables are being expanded. More...
template<typename iType >
KOKKOS_INLINE_FUNCTION size_type	variable_degree (const iType &iVariable) const
	Polynomial degree of a given variable. More...
template<typename iType , typename jType >
KOKKOS_INLINE_FUNCTION size_type	bases_degree (const iType &iBasis, const jType &iVariable) const
	Basis function 'iBasis' is the product of 'variable_count()' polynomials. Return the polynomial degree of component 'iVariable'. More...
void	print (std::ostream &s) const

Static Public Member Functions
template<typename OrdinalType , typename CijkType >
static StochasticProductTensor	create (const Stokhos::ProductBasis< OrdinalType, ValueType > &basis, const CijkType &Cijk, const Teuchos::ParameterList &params=Teuchos::ParameterList())

Private Attributes
tensor_type	m_tensor
Kokkos::View< size_type **, execution_space >	m_degree_map
size_type	m_variable

Detailed Description

template<typename ValueType, typename TensorType, class Device>
class Stokhos::StochasticProductTensor< ValueType, TensorType, Device >

Bases defined by combinatorial product of polynomial bases.

Bases: {j=0}^{N-1} P_k(x) j and k M(j) Where: P_k is a polynomial of degree k Where: <P_a,P_b> is the the integral on [-1,1] Where: <P_a,P_b> is the Kronecker delta {a,b} thus the polynomials are normalized with respect to this inner product.

Where: N = the number of variables expanded via polynomial bases Where: M(j) = the degree of a particular variable

Where: (x) = is one basis function and I is a multi-index of rank N, denoting one function from each variable's polynomial bases.

Were: <,,> is the integral on [-1,1]

The bases space is sparse due to orthogonality within the expansion.

Definition at line 79 of file Stokhos_StochasticProductTensor.hpp.

Member Typedef Documentation

template<typename ValueType , typename TensorType , class Device >

typedef Device Stokhos::StochasticProductTensor< ValueType, TensorType, Device >::execution_space

Definition at line 82 of file Stokhos_StochasticProductTensor.hpp.

template<typename ValueType , typename TensorType , class Device >

typedef ValueType Stokhos::StochasticProductTensor< ValueType, TensorType, Device >::value_type

Definition at line 83 of file Stokhos_StochasticProductTensor.hpp.

template<typename ValueType , typename TensorType , class Device >

typedef TensorType Stokhos::StochasticProductTensor< ValueType, TensorType, Device >::tensor_type

Definition at line 84 of file Stokhos_StochasticProductTensor.hpp.

template<typename ValueType , typename TensorType , class Device >

typedef tensor_type::size_type Stokhos::StochasticProductTensor< ValueType, TensorType, Device >::size_type

Definition at line 85 of file Stokhos_StochasticProductTensor.hpp.

Constructor & Destructor Documentation

template<typename ValueType , typename TensorType , class Device >

Stokhos::StochasticProductTensor< ValueType, TensorType, Device >::~StochasticProductTensor ( )

inline

Definition at line 96 of file Stokhos_StochasticProductTensor.hpp.

template<typename ValueType , typename TensorType , class Device >

Stokhos::StochasticProductTensor< ValueType, TensorType, Device >::StochasticProductTensor ( )

inline

Definition at line 99 of file Stokhos_StochasticProductTensor.hpp.

template<typename ValueType , typename TensorType , class Device >

Stokhos::StochasticProductTensor< ValueType, TensorType, Device >::StochasticProductTensor ( const StochasticProductTensor< ValueType, TensorType, Device > &  rhs )

inline

Definition at line 106 of file Stokhos_StochasticProductTensor.hpp.

Member Function Documentation

template<typename ValueType , typename TensorType , class Device >

StochasticProductTensor& Stokhos::StochasticProductTensor< ValueType, TensorType, Device >::operator= ( const StochasticProductTensor< ValueType, TensorType, Device > &  rhs )

inline

Definition at line 113 of file Stokhos_StochasticProductTensor.hpp.

template<typename ValueType , typename TensorType , class Device >

KOKKOS_INLINE_FUNCTION const tensor_type& Stokhos::StochasticProductTensor< ValueType, TensorType, Device >::tensor ( ) const

inline

Definition at line 122 of file Stokhos_StochasticProductTensor.hpp.

template<typename ValueType , typename TensorType , class Device >

KOKKOS_INLINE_FUNCTION size_type Stokhos::StochasticProductTensor< ValueType, TensorType, Device >::dimension ( ) const

inline

Dimension: number of bases and length of the vector block (and tensor).

Definition at line 128 of file Stokhos_StochasticProductTensor.hpp.

template<typename ValueType , typename TensorType , class Device >

KOKKOS_INLINE_FUNCTION size_type Stokhos::StochasticProductTensor< ValueType, TensorType, Device >::aligned_dimension ( ) const

inline

Aligned dimension: length of the vector block properly aligned.

Definition at line 133 of file Stokhos_StochasticProductTensor.hpp.

template<typename ValueType , typename TensorType , class Device >

KOKKOS_INLINE_FUNCTION size_type Stokhos::StochasticProductTensor< ValueType, TensorType, Device >::variable_count ( ) const

inline

How many variables are being expanded.

Definition at line 147 of file Stokhos_StochasticProductTensor.hpp.

template<typename ValueType , typename TensorType , class Device >

template<typename iType >

KOKKOS_INLINE_FUNCTION size_type Stokhos::StochasticProductTensor< ValueType, TensorType, Device >::variable_degree ( const iType &  iVariable ) const

inline

Polynomial degree of a given variable.

Definition at line 152 of file Stokhos_StochasticProductTensor.hpp.

template<typename ValueType , typename TensorType , class Device >

template<typename iType , typename jType >

KOKKOS_INLINE_FUNCTION size_type Stokhos::StochasticProductTensor< ValueType, TensorType, Device >::bases_degree ( const iType &  iBasis, const jType &  iVariable  ) const

inline

Basis function 'iBasis' is the product of 'variable_count()' polynomials. Return the polynomial degree of component 'iVariable'.

Definition at line 161 of file Stokhos_StochasticProductTensor.hpp.

template<typename ValueType , typename TensorType , class Device >

void Stokhos::StochasticProductTensor< ValueType, TensorType, Device >::print ( std::ostream &  s ) const

inline

Definition at line 164 of file Stokhos_StochasticProductTensor.hpp.

template<typename ValueType , typename TensorType , class Device >

template<typename OrdinalType , typename CijkType >

static StochasticProductTensor Stokhos::StochasticProductTensor< ValueType, TensorType, Device >::create ( const Stokhos::ProductBasis< OrdinalType, ValueType > &  basis, const CijkType &  Cijk, const Teuchos::ParameterList &  params = Teuchos::ParameterList()  )

inlinestatic

Definition at line 177 of file Stokhos_StochasticProductTensor.hpp.

Member Data Documentation

template<typename ValueType , typename TensorType , class Device >

tensor_type Stokhos::StochasticProductTensor< ValueType, TensorType, Device >::m_tensor

private

Definition at line 89 of file Stokhos_StochasticProductTensor.hpp.

template<typename ValueType , typename TensorType , class Device >

Kokkos::View< size_type** , execution_space > Stokhos::StochasticProductTensor< ValueType, TensorType, Device >::m_degree_map

private

Definition at line 90 of file Stokhos_StochasticProductTensor.hpp.

template<typename ValueType , typename TensorType , class Device >

size_type Stokhos::StochasticProductTensor< ValueType, TensorType, Device >::m_variable

private

Definition at line 91 of file Stokhos_StochasticProductTensor.hpp.

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

• Stokhos_StochasticProductTensor.hpp