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# AbstractGroup< T > Class Template Reference

`#include <algebra.h>`

Inheritance diagram for AbstractGroup< T >:

List of all members.

## Detailed Description

### template<class T>
class AbstractGroup< T >

Abstract Group.

Definition at line 19 of file algebra.h.

## Public Types
typedef T | Element
## Public Member Functions
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

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

- algebra.h
- algebra.cpp