tensor_tools.h File Reference

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Classes
class	MetaPhysicL::DualNumber< typename, typename >
class	libMesh::TypeVector< T >
	This class defines a vector in LIBMESH_DIM dimensional space of type T. More...
class	libMesh::VectorValue< T >
	This class defines a vector in LIBMESH_DIM dimensional Real or Complex space. More...
class	libMesh::TypeTensor< T >
	This class defines a tensor in LIBMESH_DIM dimensional space of type T. More...
class	libMesh::TensorValue< T >
	This class defines a tensor in LIBMESH_DIM dimensional Real or Complex space. More...
class	libMesh::TypeNTensor< N, T >
	This class will eventually define a rank-N tensor in LIBMESH_DIM dimensional space of type T. More...
struct	libMesh::TensorTools::IncrementRank< T >
struct	libMesh::TensorTools::IncrementRank< VectorValue< T > >
struct	libMesh::TensorTools::IncrementRank< TypeVector< T > >
struct	libMesh::TensorTools::IncrementRank< TypeTensor< T > >
struct	libMesh::TensorTools::IncrementRank< TensorValue< T > >
struct	libMesh::TensorTools::IncrementRank< TypeNTensor< N, T > >
struct	libMesh::TensorTools::DecrementRank< T >
struct	libMesh::TensorTools::DecrementRank< VectorValue< T > >
struct	libMesh::TensorTools::DecrementRank< TypeVector< T > >
struct	libMesh::TensorTools::DecrementRank< TensorValue< T > >
struct	libMesh::TensorTools::DecrementRank< TypeTensor< T > >
struct	libMesh::TensorTools::DecrementRank< TypeNTensor< N, T > >
struct	libMesh::TensorTools::MakeNumber< T >
struct	libMesh::TensorTools::MakeNumber< std::complex< T > >
struct	libMesh::TensorTools::MakeNumber< TypeVector< T > >
struct	libMesh::TensorTools::MakeNumber< VectorValue< T > >
struct	libMesh::TensorTools::MakeNumber< TypeTensor< T > >
struct	libMesh::TensorTools::MakeNumber< TensorValue< T > >
struct	libMesh::TensorTools::MakeNumber< TypeNTensor< N, T > >
struct	libMesh::TensorTools::MakeReal< T >
struct	libMesh::TensorTools::MakeReal< std::complex< T > >
struct	libMesh::TensorTools::MakeReal< TypeVector< T > >
struct	libMesh::TensorTools::MakeReal< VectorValue< T > >
struct	libMesh::TensorTools::MakeReal< TypeTensor< T > >
struct	libMesh::TensorTools::MakeReal< TensorValue< T > >
struct	libMesh::TensorTools::MakeReal< TypeNTensor< N, T > >

Namespaces
	MetaPhysicL
	std
	libMesh
	The libMesh namespace provides an interface to certain functionality in the library.
	libMesh::TensorTools

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