#include <algebra.h>
Inheritance diagram for QuotientRing< T >:
Definition at line 218 of file algebra.h.
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::Element > & | 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 |
1.5.1-p1