Ring of polynomials over another ring. More...
#include <polynomi.h>
Inheritance diagram for RingOfPolynomialsOver< T >:
Classes | |
| class | InterpolationFailed |
Public Types | |
| typedef T | CoefficientRing |
| typedef PolynomialOver< T > | Element |
| typedef Element::CoefficientType | CoefficientType |
| typedef Element::RandomizationParameter | RandomizationParameter |
Public Member Functions | |
| RingOfPolynomialsOver (const CoefficientRing &ring) | |
| Element | RandomElement (RandomNumberGenerator &rng, const RandomizationParameter ¶meter) |
| 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 |
| Element | Interpolate (const CoefficientType x[], const CoefficientType y[], unsigned int n) const |
| CoefficientType | InterpolateAt (const CoefficientType &position, const CoefficientType x[], const CoefficientType y[], unsigned int n) 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< PolynomialOver< 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 |
Protected Member Functions | |
| void | CalculateAlpha (std::vector< CoefficientType > &alpha, const CoefficientType x[], const CoefficientType y[], unsigned int n) const |
Protected Attributes | |
| CoefficientRing | m_ring |
| Element | result |
Detailed Description
template<class T>
class RingOfPolynomialsOver< T >
Ring of polynomials over another ring.
Definition at line 310 of file polynomi.h.
The documentation for this class was generated from the following file:
