| AbstractRing() | AbstractRing< PolynomialOver< T > > | [inline] |
| AbstractRing(const AbstractRing &source) | AbstractRing< PolynomialOver< T > > | [inline] |
| Accumulate(Element &a, const Element &b) const | RingOfPolynomialsOver< T > | [inline] |
| AbstractEuclideanDomain< PolynomialOver< T > >::Accumulate(Element &a, const Element &b) const | AbstractGroup< PolynomialOver< T > > | [virtual] |
| Add(const Element &a, const Element &b) const | RingOfPolynomialsOver< T > | [inline] |
| Add(const Element &a, const Element &b) const=0 (defined in AbstractGroup< PolynomialOver< T > >) | AbstractGroup< PolynomialOver< T > > | [pure virtual] |
| CalculateAlpha(std::vector< CoefficientType > &alpha, const CoefficientType x[], const CoefficientType y[], unsigned int n) const | RingOfPolynomialsOver< T > | [protected] |
| CascadeExponentiate(const Element &x, const Integer &e1, const Element &y, const Integer &e2) const | AbstractRing< PolynomialOver< T > > | [virtual] |
| CascadeScalarMultiply(const Element &x, const Integer &e1, const Element &y, const Integer &e2) const | AbstractGroup< PolynomialOver< T > > | [virtual] |
| CoefficientRing typedef | RingOfPolynomialsOver< T > | |
| CoefficientType typedef | RingOfPolynomialsOver< T > | |
| Divide(const Element &a, const Element &b) const | RingOfPolynomialsOver< T > | [inline] |
| AbstractEuclideanDomain< PolynomialOver< T > >::Divide(const Element &a, const Element &b) const | AbstractRing< PolynomialOver< T > > | [virtual] |
| DivisionAlgorithm(Element &r, Element &q, const Element &a, const Element &d) const | RingOfPolynomialsOver< T > | [inline] |
| DivisionAlgorithm(Element &r, Element &q, const Element &a, const Element &d) const=0 (defined in AbstractEuclideanDomain< PolynomialOver< T > >) | AbstractEuclideanDomain< PolynomialOver< T > > | [pure virtual] |
| Double(const Element &a) const | RingOfPolynomialsOver< T > | [inline] |
| AbstractEuclideanDomain< PolynomialOver< T > >::Double(const Element &a) const | AbstractGroup< PolynomialOver< T > > | [virtual] |
| Element typedef | RingOfPolynomialsOver< T > | |
| Equal(const Element &a, const Element &b) const | RingOfPolynomialsOver< T > | [inline] |
| Equal(const Element &a, const Element &b) const=0 (defined in AbstractGroup< PolynomialOver< T > >) | AbstractGroup< PolynomialOver< T > > | [pure virtual] |
| Exponentiate(const Element &a, const Integer &e) const | AbstractRing< PolynomialOver< T > > | [virtual] |
| Gcd(const Element &a, const Element &b) const | AbstractEuclideanDomain< PolynomialOver< T > > | [virtual] |
| Identity() const | RingOfPolynomialsOver< T > | [inline, virtual] |
| Interpolate(const CoefficientType x[], const CoefficientType y[], unsigned int n) const | RingOfPolynomialsOver< T > | |
| InterpolateAt(const CoefficientType &position, const CoefficientType x[], const CoefficientType y[], unsigned int n) const | RingOfPolynomialsOver< T > | |
| Inverse(const Element &a) const | RingOfPolynomialsOver< T > | [inline] |
| Inverse(const Element &a) const =0 (defined in AbstractGroup< PolynomialOver< T > >) | AbstractGroup< PolynomialOver< T > > | [pure virtual] |
| InversionIsFast() const | AbstractGroup< PolynomialOver< T > > | [inline, virtual] |
| IsUnit(const Element &a) const | RingOfPolynomialsOver< T > | [inline] |
| IsUnit(const Element &a) const =0 (defined in AbstractRing< PolynomialOver< T > >) | AbstractRing< PolynomialOver< T > > | [pure virtual] |
| m_ring | RingOfPolynomialsOver< T > | [protected] |
| Mod(const Element &a, const Element &b) const | RingOfPolynomialsOver< T > | [inline] |
| AbstractEuclideanDomain< PolynomialOver< T > >::Mod(const Element &a, const Element &b) const=0 | AbstractEuclideanDomain< PolynomialOver< T > > | [pure virtual] |
| MultiplicativeGroup() const | AbstractRing< PolynomialOver< T > > | [inline, virtual] |
| MultiplicativeIdentity() const | RingOfPolynomialsOver< T > | [inline, virtual] |
| MultiplicativeInverse(const Element &a) const | RingOfPolynomialsOver< T > | [inline] |
| MultiplicativeInverse(const Element &a) const =0 (defined in AbstractRing< PolynomialOver< T > >) | AbstractRing< PolynomialOver< T > > | [pure virtual] |
| Multiply(const Element &a, const Element &b) const | RingOfPolynomialsOver< T > | [inline] |
| Multiply(const Element &a, const Element &b) const=0 (defined in AbstractRing< PolynomialOver< T > >) | AbstractRing< PolynomialOver< T > > | [pure virtual] |
| operator=(const AbstractRing &source) | AbstractRing< PolynomialOver< T > > | [inline] |
| RandomElement(RandomNumberGenerator &rng, const RandomizationParameter ¶meter) | RingOfPolynomialsOver< T > | [inline] |
| RandomizationParameter typedef | RingOfPolynomialsOver< T > | |
| Reduce(Element &a, const Element &b) const | RingOfPolynomialsOver< T > | [inline] |
| AbstractEuclideanDomain< PolynomialOver< T > >::Reduce(Element &a, const Element &b) const | AbstractGroup< PolynomialOver< T > > | [virtual] |
| result | AbstractEuclideanDomain< PolynomialOver< T > > | [mutable, protected] |
| RingOfPolynomialsOver(const CoefficientRing &ring) | RingOfPolynomialsOver< T > | [inline] |
| ScalarMultiply(const Element &a, const Integer &e) const | AbstractGroup< PolynomialOver< T > > | [virtual] |
| SimultaneousExponentiate(Element *results, const Element &base, const Integer *exponents, unsigned int exponentsCount) const | AbstractRing< PolynomialOver< T > > | [virtual] |
| SimultaneousMultiply(Element *results, const Element &base, const Integer *exponents, unsigned int exponentsCount) const | AbstractGroup< PolynomialOver< T > > | [virtual] |
| Square(const Element &a) const | RingOfPolynomialsOver< T > | [inline] |
| AbstractEuclideanDomain< PolynomialOver< T > >::Square(const Element &a) const | AbstractRing< PolynomialOver< T > > | [virtual] |
| Subtract(const Element &a, const Element &b) const | RingOfPolynomialsOver< T > | [inline] |
| AbstractEuclideanDomain< PolynomialOver< T > >::Subtract(const Element &a, const Element &b) const | AbstractGroup< PolynomialOver< T > > | [virtual] |
| ~AbstractGroup() | AbstractGroup< PolynomialOver< T > > | [inline, virtual] |