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AbstractRing Class Template Reference

Abstract Ring. More...

#include <algebra.h>

Inheritance diagram for AbstractRing:

Public Types
typedef T	Element
Public Methods
	AbstractRing ()
	AbstractRing (const AbstractRing &source)
AbstractRing&	operator= (const AbstractRing &source)
virtual bool	IsUnit (const Element &a)const=0
virtual const Element&	One ()const=0
virtual const Element&	Multiply (const Element &a,const Element &b)const=0
virtual const Element&	MultiplicativeInverse (const Element &a)const=0
virtual const Element&	Square (const Element &a)const
virtual const Element&	Divide (const Element &a,const Element &b)const
virtual Element	Exponentiate (const Element &a,const Integer &e)const
virtual Element	CascadeExponentiate (const Element &x,const Integer &e1,const Element &y,const Integer &e2)const
virtual void	SimultaneousExponentiate (Element results,const Element &base,const Integer exponents,unsigned int exponentsCount)const
virtual const AbstractGroup< T>&	MultiplicativeGroup ()const

Detailed Description

template<class T> class AbstractRing

Abstract Ring.

Definition at line 44 of file algebra.h.

Member Typedef Documentation

template<class T>

typedef T AbstractRing<T>::Element

Reimplemented from AbstractGroup.
Definition at line 47 of file algebra.h.

Constructor & Destructor Documentation

template<class T>

AbstractRing<T>::AbstractRing<T> ( ) [inline]

Definition at line 49 of file algebra.h.

template<class T>

AbstractRing<T>::AbstractRing<T> ( const AbstractRing<T> & source ) [inline]

Definition at line 50 of file algebra.h.

Member Function Documentation

template<class T>

T AbstractRing< T >::CascadeExponentiate ( const Element & x,

const Integer & e1,

const Element & y,

const Integer & e2 ) const [virtual]

Definition at line 324 of file algebra.cpp.

template<class T>

const T & AbstractRing< T >::Divide ( const Element & a,

const Element & b ) const [virtual]

Definition at line 38 of file algebra.cpp.

template<class T>

T AbstractRing< T >::Exponentiate ( const Element & a,

const Integer & e ) const [virtual]

Definition at line 317 of file algebra.cpp.

template<class T>

const AbstractGroup< T > & AbstractRing<T>::MultiplicativeGroup<T> ( ) const [inline, virtual]

Definition at line 66 of file algebra.h.

template<class T>

const T & AbstractRing< T >::Square ( const Element & a ) const [virtual]

Definition at line 33 of file algebra.cpp.

template<class T>

AbstractRing<T> & AbstractRing<T>::operator= ( const AbstractRing<T> & source ) [inline]

Definition at line 51 of file algebra.h.

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

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