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

Copyright (©) 2018 Cem Bassoy
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 ).