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] |