#include <algebra.h>
Inheritance diagram for EuclideanDomainOf< T >:
Definition at line 155 of file algebra.h.
Public Types | |
| typedef T | Element |
Public Member Functions | |
| 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 |
| const Element & | MultiplicativeIdentity () const |
| const Element & | Multiply (const Element &a, const Element &b) const |
| const Element & | Square (const Element &a) const |
| bool | IsUnit (const Element &a) const |
| const Element & | MultiplicativeInverse (const Element &a) const |
| const Element & | Divide (const Element &a, const Element &b) const |
| const Element & | Mod (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 Element & | Gcd (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 |
1.3.7-20040704