#include <modarith.h>
Inheritance diagram for MontgomeryRepresentation:
Definition at line 113 of file modarith.h.
Public Types | |
| typedef int | RandomizationParameter |
| typedef Integer | Element |
Public Member Functions | |
| MontgomeryRepresentation (const Integer &modulus) | |
| virtual ModularArithmetic * | Clone () const |
| bool | IsMontgomeryRepresentation () const |
| Integer | ConvertIn (const Integer &a) const |
| Integer | ConvertOut (const Integer &a) const |
| const Integer & | MultiplicativeIdentity () const |
| const Integer & | Multiply (const Integer &a, const Integer &b) const |
| const Integer & | Square (const Integer &a) const |
| const Integer & | MultiplicativeInverse (const Integer &a) const |
| Integer | CascadeExponentiate (const Integer &x, const Integer &e1, const Integer &y, const Integer &e2) const |
| void | SimultaneousExponentiate (Element *results, const Element &base, const Integer *exponents, unsigned int exponentsCount) const |
| void | DEREncode (BufferedTransformation &bt) const |
| void | DEREncodeElement (BufferedTransformation &out, const Element &a) const |
| void | BERDecodeElement (BufferedTransformation &in, Element &a) const |
| const Integer & | GetModulus () const |
| void | SetModulus (const Integer &newModulus) |
| const Integer & | Half (const Integer &a) const |
| bool | Equal (const Integer &a, const Integer &b) const |
| virtual bool | Equal (const Element &a, const Element &b) const=0 |
| const Integer & | Identity () const |
| const Integer & | Add (const Integer &a, const Integer &b) const |
| virtual const Element & | Add (const Element &a, const Element &b) const=0 |
| Integer & | Accumulate (Integer &a, const Integer &b) const |
| virtual Element & | Accumulate (Element &a, const Element &b) const |
| const Integer & | Inverse (const Integer &a) const |
| virtual const Element & | Inverse (const Element &a) const=0 |
| const Integer & | Subtract (const Integer &a, const Integer &b) const |
| virtual const Element & | Subtract (const Element &a, const Element &b) const |
| Integer & | Reduce (Integer &a, const Integer &b) const |
| virtual Element & | Reduce (Element &a, const Element &b) const |
| const Integer & | Double (const Integer &a) const |
| virtual const Element & | Double (const Element &a) const |
| virtual const Element & | Multiply (const Element &a, const Element &b) const=0 |
| virtual const Element & | Square (const Element &a) const |
| bool | IsUnit (const Integer &a) const |
| virtual bool | IsUnit (const Element &a) const=0 |
| virtual const Element & | MultiplicativeInverse (const Element &a) const=0 |
| const Integer & | Divide (const Integer &a, const Integer &b) const |
| virtual const Element & | Divide (const Element &a, const Element &b) const |
| virtual Element | CascadeExponentiate (const Element &x, const Integer &e1, const Element &y, const Integer &e2) const |
| unsigned int | MaxElementBitLength () const |
| unsigned int | MaxElementByteLength () const |
| Element | RandomElement (RandomNumberGenerator &rng, const RandomizationParameter &ignore_for_now=0) const |
| virtual Element | Exponentiate (const Element &a, const Integer &e) const |
|
virtual const AbstractGroup< Integer > & | 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 |
Static Public Attributes | |
| const RandomizationParameter | DefaultRandomizationParameter |
Protected Attributes | |
| Integer | modulus |
| Integer | result |
| Integer | result1 |
1.3.7