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EuclideanDomainOf Class Template Reference

EuclideanDomainOf. More...

#include <algebra.h>

Inheritance diagram for EuclideanDomainOf:

List of all members.

Public Types
typedef T	Element
Public Methods
	EuclideanDomainOf ()
bool	Equal (const Element &a,const Element &b)const
const Element&	Zero ()const
const Element&	Add (const Element &a,const Element &b)const
Element&	Accumulate (Element &a,const Element &b)const
const Element&	Inverse (const Element &a)const
const Element&	Subtract (const Element &a,const Element &b)const
Element&	Reduce (Element &a,const Element &b)const
const Element&	Double (const Element &a)const
const Element&	One ()const
const Element&	Multiply (const Element &a,const Element &b)const
const Element&	Square (const Element &a)const
bool	IsUnit (const Element &a)const
const Element&	MultiplicativeInverse (const Element &a)const
const Element&	Divide (const Element &a,const Element &b)const
const Element&	Mod (const Element &a,const Element &b)const
void	DivisionAlgorithm (Element &r,Element &q,const Element &a,const Element &d)const

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Detailed Description

template<class T> class EuclideanDomainOf

EuclideanDomainOf.

Definition at line 155 of file algebra.h.

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Member Typedef Documentation

template<class T> typedef T EuclideanDomainOf<T>::Element

Reimplemented from AbstractEuclideanDomain. Definition at line 158 of file algebra.h.

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Constructor & Destructor Documentation

template<class T> EuclideanDomainOf<T>::EuclideanDomainOf<T> ( ) [inline]

Definition at line 160 of file algebra.h.

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Member Function Documentation

template<class T> Element & EuclideanDomainOf<T>::Accumulate ( Element & a, const Element & b ) const [inline, virtual]

Reimplemented from AbstractGroup. Definition at line 171 of file algebra.h.

template<class T> const Element & EuclideanDomainOf<T>::Add ( const Element & a, const Element & b ) const [inline, virtual]

Reimplemented from AbstractGroup. Definition at line 168 of file algebra.h.

template<class T> const Element & EuclideanDomainOf<T>::Divide ( const Element & a, const Element & b ) const [inline, virtual]

Reimplemented from AbstractRing. Definition at line 201 of file algebra.h.

template<class T> void EuclideanDomainOf<T>::DivisionAlgorithm ( Element & r, Element & q, const Element & a, const Element & d ) const [inline, virtual]

Reimplemented from AbstractEuclideanDomain. Definition at line 207 of file algebra.h.

template<class T> const Element & EuclideanDomainOf<T>::Double ( const Element & a ) const [inline, virtual]

Reimplemented from AbstractGroup. Definition at line 183 of file algebra.h.

template<class T> bool EuclideanDomainOf<T>::Equal ( const Element & a, const Element & b ) const [inline, virtual]

Reimplemented from AbstractGroup. Definition at line 162 of file algebra.h.

template<class T> const Element & EuclideanDomainOf<T>::Inverse ( const Element & a ) const [inline, virtual]

Reimplemented from AbstractGroup. Definition at line 174 of file algebra.h.

template<class T> bool EuclideanDomainOf<T>::IsUnit ( const Element & a ) const [inline, virtual]

Reimplemented from AbstractRing. Definition at line 195 of file algebra.h.

template<class T> const Element & EuclideanDomainOf<T>::Mod ( const Element & a, const Element & b ) const [inline, virtual]

Reimplemented from AbstractEuclideanDomain. Definition at line 204 of file algebra.h.

template<class T> const Element & EuclideanDomainOf<T>::MultiplicativeInverse ( const Element & a ) const [inline, virtual]

Reimplemented from AbstractRing. Definition at line 198 of file algebra.h.

template<class T> const Element & EuclideanDomainOf<T>::Multiply ( const Element & a, const Element & b ) const [inline, virtual]

Reimplemented from AbstractRing. Definition at line 189 of file algebra.h.

template<class T> const Element & EuclideanDomainOf<T>::One ( ) const [inline, virtual]

Reimplemented from AbstractRing. Definition at line 186 of file algebra.h.

template<class T> Element & EuclideanDomainOf<T>::Reduce ( Element & a, const Element & b ) const [inline, virtual]

Reimplemented from AbstractGroup. Definition at line 180 of file algebra.h.

template<class T> const Element & EuclideanDomainOf<T>::Square ( const Element & a ) const [inline, virtual]

Reimplemented from AbstractRing. Definition at line 192 of file algebra.h.

template<class T> const Element & EuclideanDomainOf<T>::Subtract ( const Element & a, const Element & b ) const [inline, virtual]

Reimplemented from AbstractGroup. Definition at line 177 of file algebra.h.

template<class T> const Element & EuclideanDomainOf<T>::Zero ( ) const [inline, virtual]

Reimplemented from AbstractGroup. Definition at line 165 of file algebra.h.

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

• algebra.h

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