EuclideanDomainOf< T > Class Template Reference

#include <algebra.h>

Inheritance diagram for EuclideanDomainOf< T >:

AbstractEuclideanDomain< T > AbstractRing< T > AbstractGroup< T > List of all members.

Detailed Description

template<class T>
class EuclideanDomainOf< T >

EuclideanDomainOf.

Definition at line 155 of file algebra.h.

Public Types

typedef T Element

Public Member Functions

 EuclideanDomainOf ()
bool Equal (const Element &a, const Element &b) const
const ElementIdentity () const
const ElementAdd (const Element &a, const Element &b) const
ElementAccumulate (Element &a, const Element &b) const
const ElementInverse (const Element &a) const
const ElementSubtract (const Element &a, const Element &b) const
ElementReduce (Element &a, const Element &b) const
const ElementDouble (const Element &a) const
const ElementMultiplicativeIdentity () const
const ElementMultiply (const Element &a, const Element &b) const
const ElementSquare (const Element &a) const
bool IsUnit (const Element &a) const
const ElementMultiplicativeInverse (const Element &a) const
const ElementDivide (const Element &a, const Element &b) const
const ElementMod (const Element &a, const Element &b) const
void DivisionAlgorithm (Element &r, Element &q, const Element &a, const Element &d) const
bool operator== (const EuclideanDomainOf< T > &rhs) const
virtual const ElementGcd (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
virtual bool InversionIsFast () const
virtual Element ScalarMultiply (const Element &a, const Integer &e) const
virtual Element CascadeScalarMultiply (const Element &x, const Integer &e1, const Element &y, const Integer &e2) const
virtual void SimultaneousMultiply (Element *results, const Element &base, const Integer *exponents, unsigned int exponentsCount) const


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