# AbstractRing< T > Member List

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

AbstractRing() (defined in AbstractRing< T >) | AbstractRing< T > | `[inline]`
AbstractRing(const AbstractRing &source) (defined in AbstractRing< T >) | AbstractRing< T > | `[inline]`
Accumulate(Element &a, const Element &b) const (defined in AbstractGroup< T >) | AbstractGroup< T > | `[inline, virtual]`
Add(const Element &a, const Element &b) const =0 (defined in AbstractGroup< T >) | AbstractGroup< T > | `[pure virtual]`
CascadeExponentiate(const Element &x, const Integer &e1, const Element &y, const Integer &e2) const (defined in AbstractRing< T >) | AbstractRing< T > | `[inline, virtual]`
CascadeScalarMultiply(const Element &x, const Integer &e1, const Element &y, const Integer &e2) const (defined in AbstractGroup< T >) | AbstractGroup< T > | `[inline, virtual]`
Divide(const Element &a, const Element &b) const (defined in AbstractRing< T >) | AbstractRing< T > | `[inline, virtual]`
Double(const Element &a) const (defined in AbstractGroup< T >) | AbstractGroup< T > | `[inline, virtual]`
Element typedef (defined in AbstractRing< T >) | AbstractRing< T > |
Equal(const Element &a, const Element &b) const =0 (defined in AbstractGroup< T >) | AbstractGroup< T > | `[pure virtual]`
Exponentiate(const Element &a, const Integer &e) const (defined in AbstractRing< T >) | AbstractRing< T > | `[inline, virtual]`
Identity() const =0 (defined in AbstractGroup< T >) | AbstractGroup< T > | `[pure virtual]`
Inverse(const Element &a) const =0 (defined in AbstractGroup< T >) | AbstractGroup< T > | `[pure virtual]`
InversionIsFast() const (defined in AbstractGroup< T >) | AbstractGroup< T > | `[inline, virtual]`
IsUnit(const Element &a) const =0 (defined in AbstractRing< T >) | AbstractRing< T > | `[pure virtual]`
MultiplicativeGroup() const (defined in AbstractRing< T >) | AbstractRing< T > | `[inline, virtual]`
MultiplicativeIdentity() const =0 (defined in AbstractRing< T >) | AbstractRing< T > | `[pure virtual]`
MultiplicativeInverse(const Element &a) const =0 (defined in AbstractRing< T >) | AbstractRing< T > | `[pure virtual]`
Multiply(const Element &a, const Element &b) const =0 (defined in AbstractRing< T >) | AbstractRing< T > | `[pure virtual]`
operator=(const AbstractRing &source) (defined in AbstractRing< T >) | AbstractRing< T > | `[inline]`
Reduce(Element &a, const Element &b) const (defined in AbstractGroup< T >) | AbstractGroup< T > | `[inline, virtual]`
ScalarMultiply(const Element &a, const Integer &e) const (defined in AbstractGroup< T >) | AbstractGroup< T > | `[inline, virtual]`
SimultaneousExponentiate(Element *results, const Element &base, const Integer *exponents, unsigned int exponentsCount) const (defined in AbstractRing< T >) | AbstractRing< T > | `[inline, virtual]`
SimultaneousMultiply(Element *results, const Element &base, const Integer *exponents, unsigned int exponentsCount) const (defined in AbstractGroup< T >) | AbstractGroup< T > | `[inline, virtual]`
Square(const Element &a) const (defined in AbstractRing< T >) | AbstractRing< T > | `[inline, virtual]`
Subtract(const Element &a, const Element &b) const (defined in AbstractGroup< T >) | AbstractGroup< T > | `[inline, virtual]`
~AbstractGroup() (defined in AbstractGroup< T >) | AbstractGroup< T > | `[inline, virtual]`