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QuotientRing Class Template Reference

Quotient Ring. More...

#include <algebra.h>

Inheritance diagram for QuotientRing:

Public Types
typedef T	EuclideanDomain
typedef T::Element	Element
Public Methods
	QuotientRing (const EuclideanDomain &domain,const Element &modulus)
const EuclideanDomain&	GetDomain ()const
const Element&	GetModulus ()const
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
bool	IsUnit (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
const Element&	MultiplicativeInverse (const Element &a)const
Protected Attributes
EuclideanDomain	m_domain
Element	m_modulus

Detailed Description

template<class T> class QuotientRing

Quotient Ring.

Definition at line 215 of file algebra.h.

Member Typedef Documentation

template<class T>

typedef T::Element QuotientRing<T>::Element

Reimplemented from AbstractRing.
Definition at line 219 of file algebra.h.

template<class T>

typedef T QuotientRing<T>::EuclideanDomain

Definition at line 218 of file algebra.h.

Constructor & Destructor Documentation

template<class T>

QuotientRing<T>::QuotientRing<T> ( const EuclideanDomain & domain,

const Element & modulus ) [inline]

Definition at line 221 of file algebra.h.

Member Function Documentation

template<class T>

Element & QuotientRing<T>::Accumulate ( Element & a,

const Element & b ) const [inline, virtual]

Reimplemented from AbstractGroup.
Definition at line 239 of file algebra.h.

template<class T>

const Element & QuotientRing<T>::Add ( const Element & a,

const Element & b ) const [inline, virtual]

Reimplemented from AbstractGroup.
Definition at line 236 of file algebra.h.

template<class T>

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

Reimplemented from AbstractGroup.
Definition at line 251 of file algebra.h.

template<class T>

bool QuotientRing<T>::Equal ( const Element & a,

const Element & b ) const [inline, virtual]

Reimplemented from AbstractGroup.
Definition at line 230 of file algebra.h.

template<class T>

const EuclideanDomain & QuotientRing<T>::GetDomain ( ) const [inline]

Definition at line 224 of file algebra.h.

template<class T>

const Element & QuotientRing<T>::GetModulus ( ) const [inline]

Definition at line 227 of file algebra.h.

template<class T>

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

Reimplemented from AbstractGroup.
Definition at line 242 of file algebra.h.

template<class T>

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

Reimplemented from AbstractRing.
Definition at line 254 of file algebra.h.

template<class T>

const QuotientRing< T >::Element & QuotientRing< T >::MultiplicativeInverse ( const Element & a ) const [virtual]

Reimplemented from AbstractRing.
Definition at line 66 of file algebra.cpp.

template<class T>

const Element & QuotientRing<T>::Multiply ( const Element & a,

const Element & b ) const [inline, virtual]

Reimplemented from AbstractRing.
Definition at line 260 of file algebra.h.

template<class T>

const Element & QuotientRing<T>::One ( ) const [inline, virtual]

Reimplemented from AbstractRing.
Definition at line 257 of file algebra.h.

template<class T>

Element & QuotientRing<T>::Reduce ( Element & a,

const Element & b ) const [inline, virtual]

Reimplemented from AbstractGroup.
Definition at line 248 of file algebra.h.

template<class T>

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

Reimplemented from AbstractRing.
Definition at line 263 of file algebra.h.

template<class T>

const Element & QuotientRing<T>::Subtract ( const Element & a,

const Element & b ) const [inline, virtual]

Reimplemented from AbstractGroup.
Definition at line 245 of file algebra.h.

template<class T>

const Element & QuotientRing<T>::Zero ( ) const [inline, virtual]

Reimplemented from AbstractGroup.
Definition at line 233 of file algebra.h.

Member Data Documentation

template<class T>

EuclideanDomain QuotientRing<T>::m_domain [protected]

Definition at line 269 of file algebra.h.

template<class T>

Element QuotientRing<T>::m_modulus [protected]

Definition at line 270 of file algebra.h.

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

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