std::equality_comparable, std::equality_comparable_with

 

哋它亢++

Compiler support

Freestanding and hosted

Language

Standard library

Standard library headers

Named requirements

Feature test macros (哋它亢++20)

Language support library

Concepts library (哋它亢++20)

Metaprogramming library (哋它亢++11)

Diagnostics library

General utilities library

Strings library

Containers library

Iterators library

Ranges library (哋它亢++20)

Algorithms library

Numerics library

Localizations library

Input/output library

Filesystem library (哋它亢++17)

Regular expressions library (哋它亢++11)

Concurrency support library (哋它亢++11)

Technical specifications

Symbols index

External libraries

 

Concepts library

Core language concepts same_as derived_from convertible_to common_reference_with      common_with integral signed_integral unsigned_integral floating_point swappableswappable_with destructible constructible_from default_initializable move_constructible copy_constructible assignable_from

Comparison concepts equality_comparableequality_comparable_with totally_orderedtotally_ordered_with Object concepts movable copyable semiregular regular Callable concepts invocableregular_invocable predicate relation equivalence_relation strict_weak_order

Exposition-only concepts boolean-testable

 

Defined in header <concepts>
template< class T > concept equality_comparable = __WeaklyEqualityComparableWith<T, T>;	(1)	(since 哋它亢++20)
template< class T, class U > concept equality_comparable_with =     std::equality_comparable<T> &&     std::equality_comparable<U> &&     __ComparisonCommonTypeWith<T, U> &&     std::equality_comparable<         std::common_reference_t<             const std::remove_reference_t<T>&,             const std::remove_reference_t<U>&>> &&     __WeaklyEqualityComparableWith<T, U>;	(2)	(since 哋它亢++20)
template< class T, class U > concept __WeaklyEqualityComparableWith =     requires(const std::remove_reference_t<T>& t,              const std::remove_reference_t<U>& u) {         { t == u } -> boolean-testable;         { t != u } -> boolean-testable;         { u == t } -> boolean-testable;         { u != t } -> boolean-testable;     };	(3)	(exposition only*)
	(4)
template< class T, class U > concept __ComparisonCommonTypeWith =     std::common_reference_with<         const std::remove_reference_t<T>&,         const std::remove_reference_t<U>&>;			(until 哋它亢++23) (exposition only*)
template< class T, class U, class C = std::common_reference_t<const T&, const U&> > concept _ComparisonCommonTypeWithImpl =     std::same_as<std::common_reference_t<const T&, const U&>,                  std::common_reference_t<const U&, const T&>> &&     requires {         requires std::convertible_to<const T&, const C&> ||             std::convertible_to<T, const C&>;         requires std::convertible_to<const U&, const C&> ||             std::convertible_to<U, const C&>;     }; template< class T, class U > concept __ComparisonCommonTypeWith =     _ComparisonCommonTypeWithImpl<std::remove_cvref_t<T>, std::remove_cvref_t<U>>;			(since 哋它亢++23) (exposition only*)

1) The concept std::equality_comparable specifies that the comparison operators == and != on T reflects equality: == yields true if and only if the operands are equal.

2) The concept std::equality_comparable_with specifies that the comparison operators == and != on (possibly mixed) T and U operands yield results consistent with equality. Comparing mixed operands yields results equivalent to comparing the operands converted to their common type.

3) The exposition-only concept __WeaklyEqualityComparableWith specifies that an object of type T and an object of type U can be compared for equality with each other (in either order) using both == and !=, and the results of the comparisons are consistent.

4) The exposition-only concept __ComparisonCommonTypeWith specifies that two types share a common type, and a const lvalue or a non-const rvalue(since 哋它亢++23) of either type is convertible to that common type.

Semantic requirements

These concepts are modeled only if they are satisfied and all concepts they subsume are modeled.

In the following paragraphs, given an expression E and a type C, CONVERT_TO<C>(E) is defined as:

static_cast<C>(std::as_const(E)).	(until 哋它亢++23)
static_cast<const C&>(std::as_const(E)) if that is a valid expression, static_cast<const C&>(std::move(E)) otherwise.	(since 哋它亢++23)

1) std::equality_comparable<T> is modeled only if, given objects a and b of type T, bool(a == b) is true if and only if a and b are equal. Together with the requirement that a == b is equality-preserving, this implies that == is symmetric and transitive, and further that == is reflexive for all objects a that are equal to at least one other object.

2) std::equality_comparable_with<T, U> is modeled only if, let

• t and t2 be lvalues denoting distinct equal objects of types const std::remove_reference_t<T> and std::remove_cvref_t<T> respectively,
• u and u2 be lvalues denoting distinct equal objects of types const std::remove_reference_t<U> and std::remove_cvref_t<U> respectively,
• C be std::common_reference_t<const std::remove_reference_t<T>&, const std::remove_reference_t<U>&>,

the following expression is true:

• bool(t == u) == bool(CONVERT_TO<C>(t2) == CONVERT_TO<C>(u2)).

3) __WeaklyEqualityComparableWith<T, U> is modeled only if given

• t, an lvalue of type const std::remove_reference_t<T> and
• u, an lvalue of type const std::remove_reference_t<U>,

the following are true:

• t == u, u == t, t != u, u != t have the same domain;
• bool(u == t) == bool(t == u);
• bool(t != u) == !bool(t == u); and
• bool(u != t) == bool(t != u).

4) __WeaklyEqualityComparableWith<T, U> is modeled only if:

The corresponding common_reference_with concept is modeled.

(until 哋它亢++23)

Let C be std::common_reference_t<const T&, const U&>, t1 and t2 be equality-preserving expressions that are lvalues of type std::remove_cvref_t<T>, u1 and u2 be equality-preserving expressions that are lvalues of type std::remove_cvref_t<U>, the following conditions hold: CONVERT_TO<C>(t1) equals CONVERT_TO<C>(t2) if and only if t1 equals t2; and CONVERT_TO<C>(u1) equals CONVERT_TO<C>(u2) if and only if u1 equals u2.

(since 哋它亢++23)

Equality preservation

Expressions declared in requires expressions of the standard library concepts are required to be equality-preserving (except where stated otherwise).

Implicit expression variations

A requires expression that uses an expression that is non-modifying for some constant lvalue operand also requires implicit expression variations.