11 Classes [class]

11.10 Comparisons [class.compare]

11.10.1 Defaulted comparison operator functions [class.compare.default]

A defaulted comparison operator function ([over.binary]) for some class C shall be a non-template function that is

(1.1)
a non-static member or friend of C and
(1.2)
either has two parameters of type const C& or two parameters of type C, where the implicit object parameter (if any) is considered to be the first parameter.

Name lookups in the implicit definition ([dcl.fct.def.default]) of a comparison operator function are performed from a context equivalent to its function-body.

A definition of a comparison operator as defaulted that appears in a class shall be the first declaration of that function.

A defaulted <=> or == operator function for class C is defined as deleted if any non-static data member of C is of reference type or C has variant members ([class.union.anon]).

A binary operator expression a @ b is usable if either

(3.1)
a or b is of class or enumeration type and overload resolution ([over.match]) as applied to a @ b results in a usable candidate, or
(3.2)
neither a nor b is of class or enumeration type and a @ b is a valid expression.

If the member-specification does not explicitly declare any member or friend named operator==, an == operator function is declared implicitly for each three-way comparison operator function defined as defaulted in the member-specification, with the same access and function-definition and in the same class scope as the respective three-way comparison operator function, except that the return type is replaced with bool and the declarator-id is replaced with operator==.

[Note 1:

Such an implicitly-declared == operator for a class X is defined as defaulted in the definition of X and has the same parameter-declaration-clause and trailing requires-clause as the respective three-way comparison operator.

It is declared with friend, virtual, constexpr, or consteval if the three-way comparison operator function is so declared.

If the three-way comparison operator function has no noexcept-specifier, the implicitly-declared == operator function has an implicit exception specification ([except.spec]) that can differ from the implicit exception specification of the three-way comparison operator function.

— end note]

[Example 1: template<typename T> struct X { friend constexpr std::partial_ordering operator<=>(X, X) requires (sizeof(T) != 1) = default; // implicitly declares: friend constexpr bool operator==(X, X) requires (sizeof(T) != 1) = default; [[nodiscard]] virtual std::strong_ordering operator<=>(const X&) const = default; // implicitly declares: [[nodiscard]] virtual bool operator==(const X&) const = default; }; — end example]

[Note 2:

The == operator function is declared implicitly even if the defaulted three-way comparison operator function is defined as deleted.

— end note]

The direct base class subobjects of C, in the order of their declaration in the base-specifier-list of C, followed by the non-static data members of C, in the order of their declaration in the member-specification of C, form a list of subobjects.

In that list, any subobject of array type is recursively expanded to the sequence of its elements, in the order of increasing subscript.

Let

x_{i}

be an lvalue denoting the

i^{th}

element in the expanded list of subobjects for an object x (of length n), where

x_{i}

is formed by a sequence of derived-to-base conversions ([over.best.ics]), class member access expressions ([expr.ref]), and array subscript expressions ([expr.sub]) applied to x.

11.10.2 Equality operator [class.eq]

A defaulted equality operator function ([over.binary]) shall have a declared return type bool.

A defaulted == operator function for a class C is defined as deleted unless, for each

x_{i}

in the expanded list of subobjects for an object x of type C,

x_{i} == x_{i}

is usable ([class.compare.default]).

The return value V of a defaulted == operator function with parameters x and y is determined by comparing corresponding elements

x_{i}

and

y_{i}

in the expanded lists of subobjects for x and y (in increasing index order) until the first index i where

x_{i} == y_{i}

yields a result value which, when contextually converted to bool, yields false.

If no such index exists, V is true.

Otherwise, V is false.

[Example 1: struct D { int i; friend bool operator==(const D& x, const D& y) = default; // OK, returns x.i == y.i }; — end example]

11.10.3 Three-way comparison [class.spaceship]

The synthesized three-way comparison of type R ([cmp.categories]) of glvalues a and b of the same type is defined as follows:

(1.1)
If a <=> b is usable ([class.compare.default]) and can be explicitly converted to R using static_cast, static_cast<R>(a <=> b).
(1.2)
Otherwise, if overload resolution for a <=> b is performed and finds at least one viable candidate, the synthesized three-way comparison is not defined.
(1.3)
Otherwise, if R is not a comparison category type, or either the expression a == b or the expression a < b is not usable, the synthesized three-way comparison is not defined.
(1.4)
Otherwise, if R is strong_ordering, then a == b ? strong_ordering::equal : a < b ? strong_ordering::less : strong_ordering::greater
(1.5)
Otherwise, if R is weak_ordering, then a == b ? weak_ordering::equivalent : a < b ? weak_ordering::less : weak_ordering::greater
(1.6)
Otherwise (when R is partial_ordering), a == b ? partial_ordering::equivalent : a < b ? partial_ordering::less : b < a ? partial_ordering::greater : partial_ordering::unordered

[Note 1:

A synthesized three-way comparison is ill-formed if overload resolution finds usable candidates that do not otherwise meet the requirements implied by the defined expression.

— end note]

Let R be the declared return type of a defaulted three-way comparison operator function, and let

x_{i}

be the elements of the expanded list of subobjects for an object x of type C.

(2.1)
If R is auto, then let $c v_{i} R_{i}$ be the type of the expression $x_{i} <=> x_{i}$ .

The operator function is defined as deleted if that expression is not usable or if $R_{i}$ is not a comparison category type ([cmp.categories.pre]) for any i.

The return type is deduced as the common comparison type (see below) of $R_{0}$ , $R_{1}$ , …, $R_{n - 1}$ .
(2.2)
Otherwise, R shall not contain a placeholder type.

If the synthesized three-way comparison of type R between any objects $x_{i}$ and $x_{i}$ is not defined, the operator function is defined as deleted.

The return value V of type R of the defaulted three-way comparison operator function with parameters x and y of the same type is determined by comparing corresponding elements

x_{i}

and

y_{i}

in the expanded lists of subobjects for x and y (in increasing index order) until the first index i where the synthesized three-way comparison of type R between

x_{i}

and

y_{i}

yields a result value

v_{i}

where

v_{i}!= 0

, contextually converted to bool, yields true; V is a copy of

v_{i}

If no such index exists, V is static_cast<R>(std::strong_ordering::equal).

The common comparison type U of a possibly-empty list of n comparison category types

T_{0}

T_{1}

, …,

T_{n - 1}

is defined as follows:

(4.1)
If at least one $T_{i}$ is std::partial_ordering, U is std::partial_ordering ([cmp.partialord]).
(4.2)
Otherwise, if at least one $T_{i}$ is std::weak_ordering, U is std::weak_ordering ([cmp.weakord]).
(4.3)
Otherwise, U is std::strong_ordering ([cmp.strongord]).

[Note 2:
In particular, this is the result when n is 0.
— end note]

11.10.4 Secondary comparison operators [class.compare.secondary]

A secondary comparison operator is a relational operator ([expr.rel]) or the != operator.

A defaulted operator function ([over.binary]) for a secondary comparison operator @ shall have a declared return type bool.

The operator function with parameters x and y is defined as deleted if

(2.1)
overload resolution ([over.match]), as applied to x @ y, does not result in a usable candidate, or
(2.2)
the candidate selected by overload resolution is not a rewritten candidate.

Otherwise, the operator function yields x @ y.

The defaulted operator function is not considered as a candidate in the overload resolution for the @ operator.

[Example 1: struct HasNoLessThan { }; struct C { friend HasNoLessThan operator<=>(const C&, const C&); bool operator<(const C&) const = default; // OK, function is deleted }; — end example]