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Difference between revisions of "cpp/utility/compare/weak ordering"

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m (Formatting)
(The property described in this sentence is called "connected" or "total" i.e. "< is connected" I added a link to this property's Wikipedia article.)
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* admits all six relational operators ({{tt|1===}}, {{tt|1=!=}}, {{tt|<}}, {{tt|1=<=}}, {{tt|>}}, {{tt|1=>=}})
 
* admits all six relational operators ({{tt|1===}}, {{tt|1=!=}}, {{tt|<}}, {{tt|1=<=}}, {{tt|>}}, {{tt|1=>=}})
 
{{cpp/utility/compare/substitutable|no}}
 
{{cpp/utility/compare/substitutable|no}}
* does not allow incomparable values: exactly one of {{c|a < b}}, {{c|1=a == b}}, or {{c|a > b}} must be {{c|true}}
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* [https://en.wikipedia.org/wiki/Connected_relation does not allow incomparable values]: exactly one of {{c|a < b}}, {{c|1=a == b}}, or {{c|a > b}} must be {{c|true}}.
  
 
===Constants===
 
===Constants===

Revision as of 10:01, 26 January 2023

 
 
Utilities library
General utilities
Relational operators (deprecated in C++20)
 
Defined in header <compare>
class weak_ordering;
(since C++20)

The class type std::weak_ordering is the result type of a three-way comparison that

  • admits all six relational operators (==, !=, <, <=, >, >=)
  • Does not imply substitutability: if a is equivalent to b, f(a) may not be equivalent to f(b), where f denotes a function that reads only comparison-salient state that is accessible via the argument's public const members. In other words, equivalent values may be distinguishable.
  • does not allow incomparable values: exactly one of a < b, a == b, or a > b must be true.

Contents

Constants

The type std::weak_ordering has three valid values, implemented as const static data members of its type:

Member constant Definition
less(inline constexpr)
[static]
a valid value of the type std::weak_ordering indicating less-than (ordered before) relationship
(public static member constant)
equivalent(inline constexpr)
[static]
a valid value of the type std::weak_ordering indicating equivalence (neither ordered before nor ordered after)
(public static member constant)
greater(inline constexpr)
[static]
a valid value of the type std::weak_ordering indicating greater-than (ordered after) relationship
(public static member constant)

Conversions

std::weak_ordering is implicitly-convertible to std::partial_ordering, while std::strong_ordering is implicitly-convertible to weak_ordering.

operator partial_ordering
implicit conversion to std::partial_ordering
(public member function)

std::weak_ordering::operator partial_ordering

constexpr operator partial_ordering() const noexcept;

Return value

std::partial_ordering::less if v is less, std::partial_ordering::greater if v is greater, std::partial_ordering::equivalent if v is equivalent.

Comparisons

Comparison operators are defined between values of this type and literal 0. This supports the expressions a <=> b == 0 or a <=> b < 0 that can be used to convert the result of a three-way comparison operator to a boolean relationship; see std::is_eq, std::is_lt, etc.

These functions are not visible to ordinary unqualified or qualified lookup, and can only be found by argument-dependent lookup when std::weak_ordering is an associated class of the arguments.

The behavior of a program that attempts to compare a weak_ordering with anything other than the integer literal 0 is undefined.

operator==operator<operator>operator<=operator>=operator<=>
compares with zero or a weak_ordering
(function)

operator==

friend constexpr bool operator==(weak_ordering v, /*unspecified*/ u) noexcept;
(1)
friend constexpr bool operator==(weak_ordering v, weak_ordering w) noexcept = default;
(2)

Parameters

v, w - std::weak_ordering values to check
u - an unused parameter of any type that accepts literal zero argument

Return value

1) true if v is equivalent, false if v is less or greater
2) true if both parameters hold the same value, false otherwise

operator<

friend constexpr bool operator<(weak_ordering v, /*unspecified*/ u) noexcept;
(1)
friend constexpr bool operator<(/*unspecified*/ u, weak_ordering v) noexcept;
(2)

Parameters

v - a std::weak_ordering value to check
u - an unused parameter of any type that accepts literal zero argument

Return value

1) true if v is less, and false if v is greater or equivalent
2) true if v is greater, and false if v is less or equivalent

operator<=

friend constexpr bool operator<=(weak_ordering v, /*unspecified*/ u) noexcept;
(1)
friend constexpr bool operator<=(/*unspecified*/ u, weak_ordering v) noexcept;
(2)

Parameters

v - a std::weak_ordering value to check
u - an unused parameter of any type that accepts literal zero argument

Return value

1) true if v is less or equivalent, and false if v is greater
2) true if v is greater or equivalent, and false if v is less

operator>

friend constexpr bool operator>(weak_ordering v, /*unspecified*/ u) noexcept;
(1)
friend constexpr bool operator>(/*unspecified*/ u, weak_ordering v) noexcept;
(2)

Parameters

v - a std::weak_ordering value to check
u - an unused parameter of any type that accepts literal zero argument

Return value

1) true if v is greater, and false if v is less or equivalent
2) true if v is less, and false if v is greater or equivalent

operator>=

friend constexpr bool operator>=(weak_ordering v, /*unspecified*/ u) noexcept;
(1)
friend constexpr bool operator>=(/*unspecified*/ u, weak_ordering v) noexcept;
(2)

Parameters

v - a std::weak_ordering value to check
u - an unused parameter of any type that accepts literal zero argument

Return value

1) true if v is greater or equivalent, and false if v is less
2) true if v is less or equivalent, and false if v is greater

operator<=>

friend constexpr weak_ordering operator<=>(weak_ordering v, /*unspecified*/ u) noexcept;
(1)
friend constexpr weak_ordering operator<=>(/*unspecified*/ u, weak_ordering v) noexcept;
(2)

Parameters

v - a std::weak_ordering value to check
u - an unused parameter of any type that accepts literal zero argument

Return value

1) v.
2) greater if v is less, less if v is greater, otherwise v.

Example

See also

the result type of 3-way comparison that supports all 6 operators and is substitutable
(class) [edit]
the result type of 3-way comparison that supports all 6 operators, is not substitutable, and allows incomparable values
(class) [edit]