DGtal::concepts::CVectorSpace< T > Struct Template Reference

Aim: Base concept for vector space structure. More...

#include <DGtal/math/linalg/CVectorSpace.h>

Inheritance diagram for DGtal::concepts::CVectorSpace< T >:

Public Types
typedef T::Scalar	Scalar

Public Member Functions
	BOOST_CONCEPT_ASSERT ((concepts::CEuclideanRing< Scalar >))
	BOOST_CONCEPT_USAGE (CVectorSpace)

Private Attributes
const T	x
const T	y
T	z
Scalar	a

Detailed Description

template<typename T>
struct DGtal::concepts::CVectorSpace< T >

Aim: Base concept for vector space structure.

Description of concept 'CVectorSpace'

Refinement of

• boost::Assignable

Associated types

• Scalar: Scalar type used for external multiplication and internal type representation.
• Index: Random access index type.

Notation

• VectorSpace : A type that is a model of concepts::CVectorSpace
• x, y : const object of type VectorSpace
• z : object of type VectorSpace
• a : object of type VectorSpace::Scalar

Definitions

Valid expressions and semantics

Name	Expression	Type requirements	Return type	Precondition	Semantics	Post condition	Complexity
Addition	z = x + y		VectorSpace
Substraction	z = x - y		VectorSpace
External multiplication	z = a * x		VectorSpace

Invariants

Models

Notes

Template Parameters

T	the type that should be a model of CVectorSpace.

Definition at line 92 of file CVectorSpace.h.

Member Typedef Documentation

Scalar

template<typename T >

typedef T::Scalar DGtal::concepts::CVectorSpace< T >::Scalar

Definition at line 96 of file CVectorSpace.h.

Member Function Documentation

BOOST_CONCEPT_ASSERT()

template<typename T >

DGtal::concepts::CVectorSpace< T >::BOOST_CONCEPT_ASSERT

(

(concepts::CEuclideanRing< Scalar >)

)

BOOST_CONCEPT_USAGE()

template<typename T >

DGtal::concepts::CVectorSpace< T >::BOOST_CONCEPT_USAGE ( CVectorSpace< T >  )

inline

Definition at line 100 of file CVectorSpace.h.

      {
        z = x + y;
        z = x - y;
        z = a * x;
      }

References DGtal::concepts::CVectorSpace< T >::x, and DGtal::concepts::CVectorSpace< T >::y.

Field Documentation

a

template<typename T >

Scalar DGtal::concepts::CVectorSpace< T >::a

private

Definition at line 110 of file CVectorSpace.h.

x

template<typename T >

const T DGtal::concepts::CVectorSpace< T >::x

private

Definition at line 108 of file CVectorSpace.h.

Referenced by DGtal::concepts::CVectorSpace< T >::BOOST_CONCEPT_USAGE().

y

template<typename T >

const T DGtal::concepts::CVectorSpace< T >::y

private

Definition at line 108 of file CVectorSpace.h.

Referenced by DGtal::concepts::CVectorSpace< T >::BOOST_CONCEPT_USAGE().

z

template<typename T >

T DGtal::concepts::CVectorSpace< T >::z

private

Definition at line 109 of file CVectorSpace.h.

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The documentation for this struct was generated from the following file:

• CVectorSpace.h