indicial.h File Reference

Objects handling indexed expressions in order to perform indicial tensor calculations. More...

#include "memory_pool.h"
#include "literal.h"
#include "numerical.h"
#include "operations.h"
#include "index.h"
#include "symmetry.h"
#include "parent.h"
#include "element.h"
#include "vector.h"

Include dependency graph for indicial.h:

This graph shows which files directly or indirectly include this file:

Go to the source code of this file.

Data Structures
class	csl::SelfContraction
	Small class that allows to handle contractions of indices between tensors. More...
class	csl::ContractionChain
class	csl::TensorParent
	Parent of an indicial object, allows to generate them (TensorElement). More...
class	csl::EpsilonParent
	Specialization of TensorParent for a kronecker delta. More...
class	csl::DeltaParent
	Specialization of TensorParent for a kronecker delta. More...
class	csl::MetricParent
	Specialization of TensorParent for a matric object (two indices symmetric etc). An object of type Space initializated with a metric will automatically have signed indices. More...
class	csl::Tensor
class	csl::TensorElement
	Specialization of Abstract for Indicial tensor. Building block carrying indices, and respecting Einstein's summation convention. More...
class	csl::ISum
	Specialization of a Prod object to handle TensorElement objects in the product (apply contraction of indices etc). More...
class	csl::IProd
	Specialization of a Prod object to handle TensorElement objects in the product (apply contraction of indices etc). More...

Namespaces
	csl
	Namespace for csl library.

Functions
csl::vector_expr	csl::getAllPermutations (const Expr &expr)
template<class ... Args>
std::shared_ptr< TensorParent >	csl::tensor_s (Args &&...args)
template<class ... Args>
std::shared_ptr< TensorParent >	csl::tensor_s (std::string const &name, std::vector< const Space *> const &indices, Args &&...args)
template<typename ... Args>
Expr	csl::tensorelement_s (Args &&...args)
bool	csl::IsIndicialTensor (const Expr &expr)
bool	csl::IsIndicialTensor (Expr_info expr)
void	csl::nameTensor (const std::string &name, Expr &tensor, bool first=true)
	Fills an tensor with variables of the same name with the numbers correponding to their place in the tensor. Allows for example to name elements of a vector : . More...
Expr	csl::generateTensor (const std::string &name, const std::vector< const Space *> &spaces)
	Generates a tensor of name name that lives in a list of spaces, filled with variables given by nameTensor(). More...

Variables
csl::allocator< TensorElement >	csl::alloc_itensor
csl::allocator< ISum >	csl::alloc_isum
csl::allocator< IProd >	csl::alloc_iprod

Detailed Description

Objects handling indexed expressions in order to perform indicial tensor calculations.

Author

Grégoire Uhlrich

Version

1.3

Bug:

For now setting an object fully symmetric or antisymmetric will cause bug if all the indices don't lie in the same space. When taking permutations, indices from different spaces will be exchanged and the tensor will not accept them.