C++ named requirements: EqualityComparable

From cppreference.com
C++ named requirements

The type must work with == operator and the result should have standard semantics.

Requirements

The type T satisfies EqualityComparable if given expressions a , b and c of type T or (since C++11) const T , the following expression is valid and has its specified effects:

Expression Type Effects
a == b meets BooleanTestable
(until C++20)
Establishes an equivalence relation , that is, it satisfies the following properties:
  • For all values of a , a == a yields true .
  • If a == b , then b == a .
  • If a == b and b == c , then a == c .
models boolean-testable
(since C++20)

Notes

To satisfy this requirement, types that do not have built-in comparison operators have to provide a user-defined operator == .

For the types that are both EqualityComparable and LessThanComparable , the C++ standard library makes a distinction between

  • Equality , which is the value of the expression a == b and
  • Equivalence , which is the value of the expression ! ( a < b ) && ! ( b < a ) .

Defect reports

The following behavior-changing defect reports were applied retroactively to previously published C++ standards.

DR Applied to Behavior as published Correct behavior
LWG 283 C++98 even if T is EqualityComparable , the
requirements did not apply to const T objects
they apply to
const T instead of T
LWG 2114
( P2167R3 )
C++98 convertibility to bool was too weak to reflect the expectation of implementations requirements strengthened

See also

specifies that operator == is an equivalence relation
(concept)