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Difference between revisions of "cpp/utility/compare/partial order"

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< cpp‎ | utility
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{{cpp/utility/navbar}}
 
{{cpp/utility/navbar}}
 
{{dcl begin}}
 
{{dcl begin}}
{{dcl header | compare}}
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{{dcl header|compare}}
{{dcl |since=c++20 |
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{{dcl|since=c++20|1=
template< class T >
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inline namespace /* unspecified */ {
constexpr std::partial_ordering partial_order(const T& a, const T& b);
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    inline constexpr /* unspecified */ partial_order = /* unspecified */;
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}
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}}
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{{dcl h|Call signature}}
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{{dcl|1=
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template< class T, class U >
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    requires /* see below */
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constexpr std::partial_ordering
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    partial_order( T&& t, U&& u ) noexcept(/* see below */);
 
}}
 
}}
 
{{dcl end}}
 
{{dcl end}}
  
Compares two values using 3-way comparison and produces a result of type {{lc|std::partial_ordering}}
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Compares two values using 3-way comparison and produces a result of type {{rlpt|partial_ordering|std::partial_ordering}}.
 
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Specifically,
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* If the expression {{c|a <{{=}}> b}} is well-formed and its result is convertible to {{lc|std::partial_ordering}}, returns that result.
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* Otherwise, if the expression {{c|a <{{=}}> b}} is well-formed, but its result is not convertible to {{lc|std::partial_ordering}}, then the function is defined as deleted.
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* Otherwise, if the expression {{c|a <{{=}}> b}} is ill-formed, but the expressions {{c|a {{==}} b}} and {{c|a < b}} are both well-formed and convertible to {{c|bool}},
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:* if {{c|a {{==}} b}} is {{c|true}}, returns {{lc|std::partial_ordering::equivalent}}
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:* otherwise, if {{c|a < b}} is {{c|true}}, returns {{lc|std::partial_ordering::less}}
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:* otherwise, returns {{lc|std::partial_ordering::greater}}
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* Otherwise, the function is defined as deleted.
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===Parameters===
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{{par begin}}
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{{par | a, b | values to compare}}
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{{par end}}
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===Return value===
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Let {{c|t}} and {{c|u}} be expressions and {{tt|T}} and {{tt|U}} denote {{c/core|decltype((t))}} and {{c/core|decltype((u))}} respectively, {{c|std::partial_order(t, u)}} is [[cpp/language/expressions#Expression-equivalence|expression-equivalent]] to:
A value of type {{lc|std::partial_ordering}}, as described above.
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* If {{c|std::is_same_v<std::decay_t<T>, std::decay_t<U>>}} is {{c|true}}:
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** {{c|std::partial_ordering(partial_order(t, u))}}, if it is a well-formed expression with overload resolution performed in a context that does not include a declaration of {{tt|std::partial_order}},
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** otherwise, {{c|std::partial_ordering(std::compare_three_way()(t, u))}}, if it is well-formed,
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** otherwise, {{c|std::partial_ordering(std::weak_order(t, u))}}, if it is well-formed.
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* In all other cases, the expression is ill-formed, which can result in [[cpp/language/sfinae|substitution failure]] when it appears in the immediate context of a template instantiation.
  
===Notes===
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{{cpp/ranges/cpo|std}}
  
 
===Example===
 
===Example===
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===See also===
 
===See also===
 
{{dsc begin}}
 
{{dsc begin}}
{{dsc inc | cpp/utility/compare/dsc partial_ordering}}
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{{dsc inc|cpp/utility/compare/dsc partial_ordering}}
{{dsc inc | cpp/utility/compare/dsc strong_order}}
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{{dsc inc|cpp/utility/compare/dsc strong_order}}
{{dsc inc | cpp/utility/compare/dsc weak_order}}
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{{dsc inc|cpp/utility/compare/dsc weak_order}}
{{dsc inc | cpp/utility/compare/dsc weak_equal}}
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{{dsc inc|cpp/utility/compare/dsc compare_partial_order_fallback}}
 
{{dsc end}}
 
{{dsc end}}
  
{{langlinks|ja|zh}}
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{{langlinks|de|es|ja|ru|zh}}

Latest revision as of 09:38, 22 May 2023

 
 
Utilities library
General utilities
Relational operators (deprecated in C++20)
 
Defined in header <compare>
inline namespace /* unspecified */ {

    inline constexpr /* unspecified */ partial_order = /* unspecified */;

}
(since C++20)
Call signature
template< class T, class U >

    requires /* see below */
constexpr std::partial_ordering

    partial_order( T&& t, U&& u ) noexcept(/* see below */);

Compares two values using 3-way comparison and produces a result of type std::partial_ordering.

Let t and u be expressions and T and U denote decltype((t)) and decltype((u)) respectively, std::partial_order(t, u) is expression-equivalent to:

Customization point objects

The name std::partial_order denotes a customization point object, which is a const function object of a literal semiregular class type. For exposition purposes, the cv-unqualified version of its type is denoted as __partial_order_fn.

All instances of __partial_order_fn are equal. The effects of invoking different instances of type __partial_order_fn on the same arguments are equivalent, regardless of whether the expression denoting the instance is an lvalue or rvalue, and is const-qualified or not (however, a volatile-qualified instance is not required to be invocable). Thus, std::partial_order can be copied freely and its copies can be used interchangeably.

Given a set of types Args..., if std::declval<Args>()... meet the requirements for arguments to std::partial_order above, __partial_order_fn models

Otherwise, no function call operator of __partial_order_fn participates in overload resolution.

[edit] Example

[edit] See also

the result type of 3-way comparison that supports all 6 operators, is not substitutable, and allows incomparable values
(class) [edit]
performs 3-way comparison and produces a result of type std::strong_ordering
(customization point object)[edit]
performs 3-way comparison and produces a result of type std::weak_ordering
(customization point object)[edit]
performs 3-way comparison and produces a result of type std::partial_ordering, even if operator<=> is unavailable
(customization point object)[edit]