NAME¶

std::experimental::ranges::StrictWeakOrder - std::experimental::ranges::StrictWeakOrder

Synopsis¶

Defined in header <experimental/ranges/concepts>
template < class R, class T, class U > (1) (ranges TS)
concept bool StrictWeakOrder = Relation<R, T, U>;

The concept StrictWeakOrder<R, T, U> specifies that the Relation R imposes a strict
weak ordering on its arguments. A relation r is a strict weak ordering if

* it is irreflexive: for all x, r(x, x) is false;
* it is transitive: for all a, b and c, if r(a, b) and r(b, c) are both true then
r(a, c) is true;
* let e(a, b) be !r(a, b) && !r(b, a), then e is transitive: e(a, b) && e(b, c)
implies e(a, c).

Under these conditions, it can be shown that e is an equivalence relation, and r
induces a strict total ordering on the equivalence classes determined by e.

Notes¶

The distinction between Relation and StrictWeakOrder is purely semantic.