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# AbstractEuclideanDomain< T > Member List

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

AbstractRing() | AbstractRing< T > | `[inline]`
AbstractRing(const AbstractRing &source) | AbstractRing< T > | `[inline]`
Accumulate(Element &a, const Element &b) const | AbstractGroup< T > | `[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 | AbstractRing< T > | `[virtual]`
CascadeScalarMultiply(const Element &x, const Integer &e1, const Element &y, const Integer &e2) const | AbstractGroup< T > | `[virtual]`
Divide(const Element &a, const Element &b) const | AbstractRing< T > | `[virtual]`
DivisionAlgorithm(Element &r, Element &q, const Element &a, const Element &d) const =0 (defined in AbstractEuclideanDomain< T >) | AbstractEuclideanDomain< T > | `[pure virtual]`
Double(const Element &a) const | AbstractGroup< T > | `[virtual]`
Element typedef | AbstractEuclideanDomain< 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 | AbstractRing< T > | `[virtual]`
Gcd(const Element &a, const Element &b) const | AbstractEuclideanDomain< T > | `[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 | AbstractGroup< T > | `[inline, virtual]`
IsUnit(const Element &a) const =0 (defined in AbstractRing< T >) | AbstractRing< T > | `[pure virtual]`
Mod(const Element &a, const Element &b) const =0 | AbstractEuclideanDomain< T > | `[pure virtual]`
MultiplicativeGroup() const | 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) | AbstractRing< T > | `[inline]`
Reduce(Element &a, const Element &b) const | AbstractGroup< T > | `[virtual]`
result | AbstractEuclideanDomain< T > | `[mutable, protected]`
ScalarMultiply(const Element &a, const Integer &e) const | AbstractGroup< T > | `[virtual]`
SimultaneousExponentiate(Element *results, const Element &base, const Integer *exponents, unsigned int exponentsCount) const | AbstractRing< T > | `[virtual]`
SimultaneousMultiply(Element *results, const Element &base, const Integer *exponents, unsigned int exponentsCount) const | AbstractGroup< T > | `[virtual]`
Square(const Element &a) const | AbstractRing< T > | `[virtual]`
Subtract(const Element &a, const Element &b) const | AbstractGroup< T > | `[virtual]`
~AbstractGroup() | AbstractGroup< T > | `[inline, virtual]`