Tensor Expressions

Tensor Expression

Description

The templated class tensor_expression<T,E> is required to be a public base of all classes. There is no Tensor Expression concept defined.

Definition

Defined in the header tensor/expression.hpp.

Model of

None. Not a Tensor Expression!

Type requirements

None.

Public base classes

ublas_expression<E>.

Template parameters

Parameter

Description

T

The type of the tensor.

E

The type of the tensor expression.

Member types

Member type

Description

expression_type

Type of the derived expression which is E.

type_category

Tag for categorization which is tensor_tag.

tensor_type

Reference type which is T.

Public Member Functions

Member Description

Member	Description
`const expression_type &operator()() const`	Returns a `const` reference to the derived expression.

const expression_type &operator()() const

Returns a const reference to the derived expression.

Entrywise Tensor Operations

Binary Tensor Expression

Description

The templated class binary_tensor_expression<T,EL,ER,OP> contains a constant reference to a left and right expression that can be evaluated by using the access operator.

Definition

Defined in the header tensor/expression.hpp.

Model of

Tensor Expression

Type requirements

None.

Public base classes

tensor_expression<T,binary_tensor_expression<T,EL,ER,OP>>

Template parameters

Parameter

Description

T

Type of the tensor.

EL

Type of the left binary tensor expression.

ER

Type of the right binary tensor expression.

OP

Type of the binary operation.

Member types

Member type

Description

expression_type_left

Type of the left expression which is EL.

expression_type_right

Type of the right expression which is ER.

tensor_type

Reference type which is T.

binary_operation

Type of the binary operation which is OP.

Public Member Functions

Member Description

Member	Description
`decltype(auto) operator()(std::size_t i) const`	Returns a `const` reference to the i-th element of the expression.

decltype(auto) operator()(std::size_t i) const

Returns a const reference to the i-th element of the expression.

Unary Tensor Expression

Description

The templated class unary_tensor_expression<T,E,OP> contains a constant reference to an expression that can be evaluated by using the access operator.

Definition

Defined in the header tensor/expression.hpp.

Model of

Tensor Expression

Type requirements

None.

Public base classes

tensor_expression<T,unary_tensor_expression<T,E,OP>>

Template parameters

Parameter

Description

T

Type of the tensor.

E

Type of the unary tensor expression.

OP

Type of the unary operation.

Member types

Member type

Description

expression_type

Type of the expression which is E.

tensor_type

Reference type which is T.

unary_operation

Type of the unary operation which is OP.

Public Member Functions

Member Description

Member	Description
`decltype(auto) operator()(std::size_t i) const`	Returns a `const` reference to the i-th element of the expression.

decltype(auto) operator()(std::size_t i) const

Returns a const reference to the i-th element of the expression.

Copyright (©) 2018 Cem Bassoy
Copyright (©) 2021 Shikhar Vashistha
Use, modification and distribution are subject to the Boost Software License, Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt ).