AlgebraicStructureTraits::IntegralDivision

Definition

AdaptableBinaryFunction providing an integral division.

Integral division (a.k.a. exact division or division without remainder) maps ring elements (x,y) to ring element z such that x = yz if such a z exists (i.e. if x is divisible by y). Otherwise the effect of invoking this operation is undefined. Since the ring represented is an integral domain, z is uniquely defined if it exists.

Refines

AdaptableBinaryFunction

Types

AlgebraicStructureTraits::IntegralDivision::result_type
Is AlgebraicStructureTraits::Type.

AlgebraicStructureTraits::IntegralDivision::first_argument
Is AlgebraicStructureTraits::Type.

AlgebraicStructureTraits::IntegralDivision::second_argument
Is AlgebraicStructureTraits::Type.

Operations

result_type integral_division ( first_argument_type x , second_argument_type y )
returns x/y, this is an integral division.

template <class NT1, class NT2>
result_type integral_division ( NT1 x , NT2 y )
This operator is well defined if NT1 and NT2 are ExplicitInteroperable with coercion type AlgebraicStructureTraits::Type.

See Also

AlgebraicStructureTraits
AlgebraicStructureTraits::Divides