std::experimental::ranges::StrictTotallyOrdered, std::experimental::ranges::

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template < class T >

concept bool StrictTotallyOrdered =
    EqualityComparable<T> &&
    requires( const std::remove_reference_t <T> & a,
const std::remove_reference_t <T> & b) {
{ a < b } - > Boolean&& ;
{ a > b } - > Boolean&& ;
{ a <= b } - > Boolean&& ;
{ a >= b } - > Boolean&& ;

} ;
(1) (ranges TS)
template < class T, class U >

concept bool StrictTotallyOrderedWith =
    StrictTotallyOrdered<T> &&
    StrictTotallyOrdered<U> &&
    CommonReference<
const std::remove_reference_t <T> &,
const std::remove_reference_t <U> & > &&
    StrictTotallyOrdered<
ranges::common_reference_t <
const std::remove_reference_t <T> &,
const std::remove_reference_t <U> & >> &&
    EqualityComparableWith<T, U> &&
    requires( const std::remove_reference_t <T> & t,
const std::remove_reference_t <U> & u) {
{ t < u } - > Boolean&& ;
{ t > u } - > Boolean&& ;
{ t <= u } - > Boolean&& ;
{ t >= u } - > Boolean&& ;
{ u < t } - > Boolean&& ;
{ u > t } - > Boolean&& ;
{ u <= t } - > Boolean&& ;
{ u >= t } - > Boolean&& ;

} ;
(2) (ranges TS)
1) The concept StrictTotallyOrdered<T> specifies that the comparison operators ==,!=,<,>,<=,>= on T yield results consistent with a strict total order on T.

StrictTotallyOrdered<T> is satisfied only if, given lvalues a, b and c of type const std::remove_reference_t <T>

  • Exactly one of bool(a < b), bool(a > b) and bool(a == b) is true
  • If bool(a < b) and bool(b < c) are both true, then bool(a < c) is true
  • bool (a > b) == bool (b < a)
  • bool (a >= b) == ! bool (a < b)
  • bool (a <= b) == ! bool (b < a)
2) The concept StrictTotallyOrderedWith<T, U> specifies that the comparison operators ==,!=,<,>,<=,>= on (possibly mixed) T and U operands yield results consistent with a strict total order. Comparing mixed operands yields results equivalent to comparing the operands converted to their common type.

Formally, StrictTotallyOrderedWith<T, U> is satisfied only if, given any lvalue t of type const std::remove_reference_t <T> and any lvalue u of type const std::remove_reference_t <U> , and let C be ranges::common_reference_t < const std::remove_reference_t <T> &, const std::remove_reference_t <U> & >

  • bool (t < u) == bool (C(t) < C(u) )
  • bool (t > u) == bool (C(t) > C(u) )
  • bool (t <= u) == bool (C(t) <= C(u) )
  • bool (t >= u) == bool (C(t) >= C(u) )
  • bool (u < t) == bool (C(u) < C(t) )
  • bool (u > t) == bool (C(u) > C(t) )
  • bool (u <= t) == bool (C(u) <= C(t) )
  • bool (u >= t) == bool (C(u) >= C(t) )

Equality preservation

An expression is equality preserving if it results in equal outputs given equal inputs.

  • The inputs to an expression consist of its operands.
  • The outputs of an expression consist of its result and all operands modified by the expression (if any).

Every expression required to be equality preserving is further required to be stable

Unless noted otherwise, every expression used in a requires-expression

Implicit expression variations

A requires-expression implicit expression variations