# RingOfPolynomialsOver< T > Member List

This is the complete list of members for RingOfPolynomialsOver< T >, including all inherited members.

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