libMesh::TensorTools Namespace Reference

Classes
struct	DecrementRank
struct	DecrementRank< TensorValue< T > >
struct	DecrementRank< TypeNTensor< N, T > >
struct	DecrementRank< TypeTensor< T > >
struct	DecrementRank< TypeVector< T > >
struct	DecrementRank< VectorValue< T > >
struct	IncrementRank
struct	IncrementRank< TensorValue< T > >
struct	IncrementRank< TypeNTensor< N, T > >
struct	IncrementRank< TypeTensor< T > >
struct	IncrementRank< TypeVector< T > >
struct	IncrementRank< VectorValue< T > >
struct	MakeNumber
struct	MakeNumber< std::complex< T > >
struct	MakeNumber< TensorValue< T > >
struct	MakeNumber< TypeNTensor< N, T > >
struct	MakeNumber< TypeTensor< T > >
struct	MakeNumber< TypeVector< T > >
struct	MakeNumber< VectorValue< T > >
struct	MakeReal
struct	MakeReal< std::complex< T > >
struct	MakeReal< TensorValue< T > >
struct	MakeReal< TypeNTensor< N, T > >
struct	MakeReal< TypeTensor< T > >
struct	MakeReal< TypeVector< T > >
struct	MakeReal< VectorValue< T > >

Functions
template<typename T , typename T2 >
boostcopy::enable_if_c< ScalarTraits< T >::value &&ScalarTraits< T2 >::value, typename CompareTypes< T, T2 >::supertype >::type	inner_product (const T &a, const T2 &b)
template<typename T , typename T2 >
CompareTypes< T, T2 >::supertype	inner_product (const TypeVector< T > &a, const TypeVector< T2 > &b)
template<typename T , typename T2 >
CompareTypes< T, T2 >::supertype	inner_product (const TypeTensor< T > &a, const TypeTensor< T2 > &b)
template<unsigned int N, typename T , typename T2 >
CompareTypes< T, T2 >::supertype	inner_product (const TypeNTensor< N, T > &a, const TypeNTensor< N, T2 > &b)
template<typename T >
T	norm_sq (std::complex< T > a)
template<typename T >
auto	norm_sq (const T &a) -> decltype(std::norm(a))
template<typename T >
auto	norm_sq (const TypeVector< T > &a) -> decltype(std::norm(T()))
template<typename T >
auto	norm_sq (const VectorValue< T > &a) -> decltype(std::norm(T()))
template<typename T >
bool	is_zero (const T &a)
Number	curl_from_grad (const VectorValue< Number > &)
VectorValue< Number >	curl_from_grad (const TensorValue< Number > &grad)
	Computes the curl of a vector given the gradient of that vector. More...
TensorValue< Number >	curl_from_grad (const TypeNTensor< 3, Number > &grad)
Number	div_from_grad (const VectorValue< Number > &grad)
	Dummy. Divergence of a scalar not defined, but is needed for ExactSolution to compile. More...
Number	div_from_grad (const TensorValue< Number > &grad)
	Computes the divergence of a vector given the gradient of that vector. More...
VectorValue< Number >	div_from_grad (const TypeNTensor< 3, Number > &grad)

Function Documentation

curl_from_grad() [1/3]

Number libMesh::TensorTools::curl_from_grad

(

const VectorValue< Number > &

)

curl_from_grad() [2/3]

VectorValue<Number> libMesh::TensorTools::curl_from_grad

(

const TensorValue< Number > &

grad

)

Computes the curl of a vector given the gradient of that vector.

curl_from_grad() [3/3]

TensorValue<Number> libMesh::TensorTools::curl_from_grad

(

const TypeNTensor< 3, Number > &

grad

)

Place holder needed for ExactSolution to compile. Will compute the curl of a tensor given the gradient of that tensor.

div_from_grad() [1/3]

Number libMesh::TensorTools::div_from_grad

(

const VectorValue< Number > &

grad

)

Dummy. Divergence of a scalar not defined, but is needed for ExactSolution to compile.

div_from_grad() [2/3]

Number libMesh::TensorTools::div_from_grad

(

const TensorValue< Number > &

grad

)

Computes the divergence of a vector given the gradient of that vector.

div_from_grad() [3/3]

VectorValue<Number> libMesh::TensorTools::div_from_grad

(

const TypeNTensor< 3, Number > &

grad

)

Place holder needed for ExactSolution to compile. Will compute the divergence of a tensor given the gradient of that tensor.

inner_product() [1/4]

template<typename T , typename T2 >

boostcopy::enable_if_c<ScalarTraits<T>::value && ScalarTraits<T2>::value, typename CompareTypes<T, T2>::supertype>::type libMesh::TensorTools::inner_product	(	const T &	a,
		const T2 &	b
	)

Definition at line 62 of file tensor_tools.h.

{ return a * b; }

inner_product() [2/4]

template<typename T , typename T2 >

CompareTypes<T, T2>::supertype libMesh::TensorTools::inner_product	(	const TypeVector< T > &	a,
		const TypeVector< T2 > &	b
	)

Definition at line 68 of file tensor_tools.h.

{ return a * b; }

inner_product() [3/4]

template<typename T , typename T2 >

CompareTypes<T, T2>::supertype libMesh::TensorTools::inner_product	(	const TypeTensor< T > &	a,
		const TypeTensor< T2 > &	b
	)

Definition at line 74 of file tensor_tools.h.

References libMesh::TypeTensor< T >::contract().

{ return a.contract(b); }

inner_product() [4/4]

template<unsigned int N, typename T , typename T2 >

CompareTypes<T, T2>::supertype libMesh::TensorTools::inner_product	(	const TypeNTensor< N, T > &	a,
		const TypeNTensor< N, T2 > &	b
	)

Definition at line 80 of file tensor_tools.h.

References libMesh::TypeNTensor< N, T >::contract().

{ return a.contract(b); }

is_zero()

template<typename T >

bool libMesh::TensorTools::is_zero

(

const T &

a

)

Definition at line 104 of file tensor_tools.h.

{ return a.is_zero();}

norm_sq() [1/4]

template<typename T >

T libMesh::TensorTools::norm_sq

(

std::complex< T >

a

)

Definition at line 85 of file tensor_tools.h.

References std::norm().

Referenced by libMesh::DenseSubVector< T >::l2_norm(), libMesh::DenseVector< Output >::l2_norm(), libMesh::DenseSubVector< T >::linfty_norm(), libMesh::DenseVector< Output >::linfty_norm(), libMesh::TypeVector< Real >::norm(), libMesh::TypeTensor< T >::norm(), libMesh::TypeVector< Real >::norm_sq(), libMesh::TypeTensor< T >::norm_sq(), libMesh::TypeVector< Real >::size_sq(), and libMesh::TypeTensor< T >::size_sq().

{ return std::norm(a); }

norm_sq() [2/4]

template<typename T >

auto libMesh::TensorTools::norm_sq

(

const T &

a

)

-> decltype(std::norm(a))

Definition at line 89 of file tensor_tools.h.

References std::norm().

{ return std::norm(a); }

norm_sq() [3/4]

template<typename T >

auto libMesh::TensorTools::norm_sq

(

const TypeVector< T > &

a

)

-> decltype(std::norm(T()))

Definition at line 94 of file tensor_tools.h.

{return a.norm_sq();}

norm_sq() [4/4]

template<typename T >

auto libMesh::TensorTools::norm_sq

(

const VectorValue< T > &

a

)

-> decltype(std::norm(T()))

Definition at line 99 of file tensor_tools.h.

{return a.norm_sq();}