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QuotientRing< T > Member List

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

AbstractRing()AbstractRing< T::Element >inline
AbstractRing(const AbstractRing &source)AbstractRing< T::Element >inline
Accumulate(Element &a, const Element &b) const (defined in QuotientRing< T >)QuotientRing< T >inline
AbstractRing< T::Element >::Accumulate(Element &a, const Element &b) constAbstractGroup< T >virtual
Add(const Element &a, const Element &b) const (defined in QuotientRing< T >)QuotientRing< T >inline
AbstractRing< T::Element >::Add(const Element &a, const Element &b) const =0AbstractGroup< T >pure virtual
CascadeExponentiate(const Element &x, const Integer &e1, const Element &y, const Integer &e2) constAbstractRing< T::Element >virtual
CascadeScalarMultiply(const Element &x, const Integer &e1, const Element &y, const Integer &e2) constAbstractGroup< T >virtual
Divide(const Element &a, const Element &b) constAbstractRing< T::Element >virtual
Double(const Element &a) const (defined in QuotientRing< T >)QuotientRing< T >inline
AbstractRing< T::Element >::Double(const Element &a) constAbstractGroup< T >virtual
Element typedef (defined in QuotientRing< T >)QuotientRing< T >
Equal(const Element &a, const Element &b) const (defined in QuotientRing< T >)QuotientRing< T >inline
AbstractRing< T::Element >::Equal(const Element &a, const Element &b) const =0AbstractGroup< T >pure virtual
EuclideanDomain typedef (defined in QuotientRing< T >)QuotientRing< T >
Exponentiate(const Element &a, const Integer &e) constAbstractRing< T::Element >virtual
GetDomain() const (defined in QuotientRing< T >)QuotientRing< T >inline
GetModulus() const (defined in QuotientRing< T >)QuotientRing< T >inline
Identity() constQuotientRing< T >inlinevirtual
Inverse(const Element &a) const (defined in QuotientRing< T >)QuotientRing< T >inline
AbstractRing< T::Element >::Inverse(const Element &a) const =0AbstractGroup< T >pure virtual
InversionIsFast() constAbstractGroup< T >inlinevirtual
IsUnit(const Element &a) const (defined in QuotientRing< T >)QuotientRing< T >inline
AbstractRing< T::Element >::IsUnit(const Element &a) const=0AbstractRing< T::Element >pure virtual
m_domain (defined in QuotientRing< T >)QuotientRing< T >protected
m_modulus (defined in QuotientRing< T >)QuotientRing< T >protected
MultiplicativeGroup() constAbstractRing< T::Element >inlinevirtual
MultiplicativeIdentity() constQuotientRing< T >inlinevirtual
MultiplicativeInverse(const Element &a) const (defined in QuotientRing< T >)QuotientRing< T >
AbstractRing< T::Element >::MultiplicativeInverse(const Element &a) const=0AbstractRing< T::Element >pure virtual
Multiply(const Element &a, const Element &b) const (defined in QuotientRing< T >)QuotientRing< T >inline
AbstractRing< T::Element >::Multiply(const Element &a, const Element &b) const=0AbstractRing< T::Element >pure virtual
operator=(const AbstractRing &source)AbstractRing< T::Element >inline
operator==(const QuotientRing< T > &rhs) const (defined in QuotientRing< T >)QuotientRing< T >inline
QuotientRing(const EuclideanDomain &domain, const Element &modulus) (defined in QuotientRing< T >)QuotientRing< T >inline
Reduce(Element &a, const Element &b) const (defined in QuotientRing< T >)QuotientRing< T >inline
AbstractRing< T::Element >::Reduce(Element &a, const Element &b) constAbstractGroup< T >virtual
ScalarMultiply(const Element &a, const Integer &e) constAbstractGroup< T >virtual
SimultaneousExponentiate(Element *results, const Element &base, const Integer *exponents, unsigned int exponentsCount) constAbstractRing< T::Element >virtual
SimultaneousMultiply(Element *results, const Element &base, const Integer *exponents, unsigned int exponentsCount) constAbstractGroup< T >virtual
Square(const Element &a) const (defined in QuotientRing< T >)QuotientRing< T >inline
AbstractRing< T::Element >::Square(const Element &a) constAbstractRing< T::Element >virtual
Subtract(const Element &a, const Element &b) const (defined in QuotientRing< T >)QuotientRing< T >inline
AbstractRing< T::Element >::Subtract(const Element &a, const Element &b) constAbstractGroup< T >virtual
~AbstractGroup() (defined in AbstractGroup< T >)AbstractGroup< T >inlinevirtual