Main Page | Namespace List | Class Hierarchy | Alphabetical List | Class List | File List | Class Members | File Members

AbstractEuclideanDomain< T > Class Template Reference

#include <algebra.h>

Inheritance diagram for AbstractEuclideanDomain< T >:

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

Detailed Description

template<class T>
class AbstractEuclideanDomain< T >

Abstract Euclidean Domain.

Definition at line 138 of file algebra.h.

Public Types

typedef T Element

Public Member Functions

virtual void DivisionAlgorithm (Element &r, Element &q, const Element &a, const Element &d) const =0
virtual const Element & Mod (const Element &a, const Element &b) const =0
virtual const Element & Gcd (const Element &a, const Element &b) const
virtual bool IsUnit (const Element &a) const =0
virtual const Element & MultiplicativeIdentity () 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
virtual bool Equal (const Element &a, const Element &b) const =0
virtual const Element & Identity () const =0
virtual const Element & Add (const Element &a, const Element &b) const =0
virtual const Element & Inverse (const Element &a) const =0
virtual bool InversionIsFast () const
virtual const Element & Double (const Element &a) const
virtual const Element & Subtract (const Element &a, const Element &b) const
virtual Element & Accumulate (Element &a, const Element &b) const
virtual Element & Reduce (Element &a, const Element &b) 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

Element result

The documentation for this class was generated from the following files:
Generated on Wed Jul 21 19:15:38 2004 for Crypto++ by doxygen 1.3.7-20040704