Public Types | Public Member Functions | Protected Attributes

QuotientRing< T > Class Template Reference

Quotient Ring. More...

#include <algebra.h>

Inheritance diagram for QuotientRing< T >:
AbstractRing< T::Element > AbstractGroup< T >

List of all members.

Public Types

typedef T EuclideanDomain
typedef T::Element Element

Public Member Functions

 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 & Identity () 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 & MultiplicativeIdentity () 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
bool operator== (const QuotientRing< T > &rhs) 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
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

Protected Attributes

EuclideanDomain m_domain
Element m_modulus

Detailed Description

template<class T>
class QuotientRing< T >

Quotient Ring.

Definition at line 218 of file algebra.h.


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