This commit is contained in:
2025-10-25 03:02:53 +03:00
commit 043225d523
3416 changed files with 681196 additions and 0 deletions

839
cppdraft/pairs.md Normal file
View File

@@ -0,0 +1,839 @@
[pairs]
# 22 General utilities library [[utilities]](./#utilities)
## 22.3 Pairs [pairs]
### [22.3.1](#general) General [[pairs.general]](pairs.general)
[1](#general-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L737)
The library provides a template for heterogeneous pairs of values[.](#general-1.sentence-1)
The library also provides a matching function template to simplify
their construction and several templates that provide access to pair objects as if they were tuple objects (see [[tuple.helper]](tuple.helper "22.4.7Tuple helper classes") and [[tuple.elem]](tuple.elem "22.4.8Element access"))[.](#general-1.sentence-2)
### [22.3.2](#pair) Class template pair [[pairs.pair]](pairs.pair)
[🔗](#lib:pair_)
namespace std {template<class T1, class T2>struct pair {using first_type = T1; using second_type = T2;
T1 first;
T2 second;
pair(const pair&) = default;
pair(pair&&) = default; constexpr explicit(*see below*) pair(); constexpr explicit(*see below*) pair(const T1& x, const T2& y); template<class U1 = T1, class U2 = T2>constexpr explicit(*see below*) pair(U1&& x, U2&& y); template<class U1, class U2>constexpr explicit(*see below*) pair(pair<U1, U2>& p); template<class U1, class U2>constexpr explicit(*see below*) pair(const pair<U1, U2>& p); template<class U1, class U2>constexpr explicit(*see below*) pair(pair<U1, U2>&& p); template<class U1, class U2>constexpr explicit(*see below*) pair(const pair<U1, U2>&& p); template<[*pair-like*](tuple.syn#concept:pair-like "22.4.2Header <tuple> synopsis[tuple.syn]") P>constexpr explicit(*see below*) pair(P&& p); template<class... Args1, class... Args2>constexpr pair(piecewise_construct_t,
tuple<Args1...> first_args, tuple<Args2...> second_args); constexpr pair& operator=(const pair& p); constexpr const pair& operator=(const pair& p) const; template<class U1, class U2>constexpr pair& operator=(const pair<U1, U2>& p); template<class U1, class U2>constexpr const pair& operator=(const pair<U1, U2>& p) const; constexpr pair& operator=(pair&& p) noexcept(*see below*); constexpr const pair& operator=(pair&& p) const; template<class U1, class U2>constexpr pair& operator=(pair<U1, U2>&& p); template<class U1, class U2>constexpr const pair& operator=(pair<U1, U2>&& p) const; template<[*pair-like*](tuple.syn#concept:pair-like "22.4.2Header <tuple> synopsis[tuple.syn]") P>constexpr pair& operator=(P&& p); template<[*pair-like*](tuple.syn#concept:pair-like "22.4.2Header <tuple> synopsis[tuple.syn]") P>constexpr const pair& operator=(P&& p) const; constexpr void swap(pair& p) noexcept(*see below*); constexpr void swap(const pair& p) const noexcept(*see below*); }; template<class T1, class T2> pair(T1, T2) -> pair<T1, T2>;}
[1](#pair-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L806)
Constructors and member functions of pair do not throw exceptions unless one of
the element-wise operations specified to be called for that operation
throws an exception[.](#pair-1.sentence-1)
[2](#pair-2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L811)
The defaulted move and copy constructor, respectively, of pair is a constexpr function if and only if all required element-wise
initializations for move and copy, respectively,
would be constexpr-suitable ([[dcl.constexpr]](dcl.constexpr "9.2.6The constexpr and consteval specifiers"))[.](#pair-2.sentence-1)
[3](#pair-3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L817)
If (is_trivially_destructible_v<T1> && is_trivially_destructible_v<T2>) is true, then the destructor of pair is trivial[.](#pair-3.sentence-1)
[4](#pair-4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L821)
pair<T, U> is a structural type ([[temp.param]](temp.param#term.structural.type "13.2Template parameters"))
if T and U are both structural types[.](#pair-4.sentence-1)
Two values p1 and p2 of type pair<T, U> are template-argument-equivalent ([[temp.type]](temp.type "13.6Type equivalence")) if and only ifp1.first and p2.first are template-argument-equivalent andp1.second and p2.second are template-argument-equivalent[.](#pair-4.sentence-2)
[🔗](#lib:pair,constructor)
`constexpr explicit(see below) pair();
`
[5](#pair-5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L835)
*Constraints*:
- [(5.1)](#pair-5.1)
is_default_constructible_v<T1> is true and
- [(5.2)](#pair-5.2)
is_default_constructible_v<T2> is true[.](#pair-5.sentence-1)
[6](#pair-6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L842)
*Effects*: Value-initializes first and second[.](#pair-6.sentence-1)
[7](#pair-7)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L846)
*Remarks*: The expression inside explicit evaluates to true if and only if either T1 orT2 is not implicitly default-constructible[.](#pair-7.sentence-1)
[*Note [1](#pair-note-1)*:
This behavior can be implemented with a trait that checks
whether a const T1& or a const T2& can be initialized with {}[.](#pair-7.sentence-2)
— *end note*]
[🔗](#lib:pair,constructor_)
`constexpr explicit(see below) pair(const T1& x, const T2& y);
`
[8](#pair-8)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L864)
*Constraints*:
- [(8.1)](#pair-8.1)
is_copy_constructible_v<T1> is true and
- [(8.2)](#pair-8.2)
is_copy_constructible_v<T2> is true[.](#pair-8.sentence-1)
[9](#pair-9)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L871)
*Effects*: Initializes first with x and second with y[.](#pair-9.sentence-1)
[10](#pair-10)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L875)
*Remarks*: The expression inside explicit is equivalent to:!is_convertible_v<const T1&, T1> || !is_convertible_v<const T2&, T2>
[🔗](#lib:pair,constructor__)
`template<class U1 = T1, class U2 = T2> constexpr explicit(see below) pair(U1&& x, U2&& y);
`
[11](#pair-11)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L889)
*Constraints*:
- [(11.1)](#pair-11.1)
is_constructible_v<T1, U1> is true and
- [(11.2)](#pair-11.2)
is_constructible_v<T2, U2> is true[.](#pair-11.sentence-1)
[12](#pair-12)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L896)
*Effects*: Initializes first withstd::forward<U1>(x) and second with std::forward<U2>(y)[.](#pair-12.sentence-1)
[13](#pair-13)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L902)
*Remarks*: The expression inside explicit is equivalent to:!is_convertible_v<U1, T1> || !is_convertible_v<U2, T2>
This constructor is defined as deleted ifreference_constructs_from_temporary_v<first_type, U1&&> is true orreference_constructs_from_temporary_v<second_type, U2&&> is true[.](#pair-13.sentence-2)
[🔗](#lib:pair,constructor___)
`template<class U1, class U2> constexpr explicit(see below) pair(pair<U1, U2>& p);
template<class U1, class U2> constexpr explicit(see below) pair(const pair<U1, U2>& p);
template<class U1, class U2> constexpr explicit(see below) pair(pair<U1, U2>&& p);
template<class U1, class U2> constexpr explicit(see below) pair(const pair<U1, U2>&& p);
template<[pair-like](tuple.syn#concept:pair-like "22.4.2Header <tuple> synopsis[tuple.syn]") P> constexpr explicit(see below) pair(P&& p);
`
[14](#pair-14)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L925)
Let *FWD*(u) be static_cast<decltype(u)>(u)[.](#pair-14.sentence-1)
[15](#pair-15)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L928)
*Constraints*:
- [(15.1)](#pair-15.1)
For the last overload,remove_cvref_t<P> is not a specialization of ranges::subrange,
- [(15.2)](#pair-15.2)
is_constructible_v<T1, decltype(get<0>(*FWD*(p)))> is true, and
- [(15.3)](#pair-15.3)
is_constructible_v<T2, decltype(get<1>(*FWD*(p)))> is true[.](#pair-15.sentence-1)
[16](#pair-16)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L942)
*Effects*: Initializes first with get<0>(*FWD*(p)) andsecond with get<1>(*FWD*(p))[.](#pair-16.sentence-1)
[17](#pair-17)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L947)
*Remarks*: The expression inside explicit is equivalent to:!is_convertible_v<decltype(get<0>(*FWD*(p))), T1> ||!is_convertible_v<decltype(get<1>(*FWD*(p))), T2>
The constructor is defined as deleted ifreference_constructs_from_temporary_v<first_type, decltype(get<0>(*FWD*(p)))> || reference_constructs_from_temporary_v<second_type, decltype(get<1>(*FWD*(p)))> is true[.](#pair-17.sentence-2)
[🔗](#lib:pair,constructor____)
`template<class... Args1, class... Args2>
constexpr pair(piecewise_construct_t,
tuple<Args1...> first_args, tuple<Args2...> second_args);
`
[18](#pair-18)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L970)
*Mandates*:
- [(18.1)](#pair-18.1)
is_constructible_v<T1, Args1...> is true and
- [(18.2)](#pair-18.2)
is_constructible_v<T2, Args2...> is true[.](#pair-18.sentence-1)
[19](#pair-19)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L977)
*Effects*: Initializes first with arguments of typesArgs1... obtained by forwarding the elements of first_args and initializes second with arguments of types Args2... obtained by forwarding the elements of second_args[.](#pair-19.sentence-1)
(Here, forwarding
an element x of type U within a tuple object means callingstd::forward<U>(x)[.](#pair-19.sentence-2))
This form of construction, whereby constructor
arguments for first and second are each provided in a separatetuple object, is called [*piecewise construction*](#def:piecewise_construction "22.3.2Class template pair[pairs.pair]")[.](#pair-19.sentence-3)
[*Note [2](#pair-note-2)*:
If a data member of pair is of reference type and
its initialization binds it to a temporary object,
the program is ill-formed ([[class.base.init]](class.base.init "11.9.3Initializing bases and members"))[.](#pair-19.sentence-4)
— *end note*]
[🔗](#lib:operator=,pair)
`constexpr pair& operator=(const pair& p);
`
[20](#pair-20)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1000)
*Effects*: Assigns p.first to first and p.second to second[.](#pair-20.sentence-1)
[21](#pair-21)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1004)
*Returns*: *this[.](#pair-21.sentence-1)
[22](#pair-22)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1008)
*Remarks*: This operator is defined as deleted unlessis_copy_assignable_v<T1> is true andis_copy_assignable_v<T2> is true[.](#pair-22.sentence-1)
[🔗](#lib:operator=,pair_)
`constexpr const pair& operator=(const pair& p) const;
`
[23](#pair-23)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1021)
*Constraints*:
- [(23.1)](#pair-23.1)
is_copy_assignable_v<const T1> is true and
- [(23.2)](#pair-23.2)
is_copy_assignable_v<const T2> is true[.](#pair-23.sentence-1)
[24](#pair-24)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1030)
*Effects*: Assigns p.first to first and p.second to second[.](#pair-24.sentence-1)
[25](#pair-25)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1034)
*Returns*: *this[.](#pair-25.sentence-1)
[🔗](#lib:operator=,pair__)
`template<class U1, class U2> constexpr pair& operator=(const pair<U1, U2>& p);
`
[26](#pair-26)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1045)
*Constraints*:
- [(26.1)](#pair-26.1)
is_assignable_v<T1&, const U1&> is true and
- [(26.2)](#pair-26.2)
is_assignable_v<T2&, const U2&> is true[.](#pair-26.sentence-1)
[27](#pair-27)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1052)
*Effects*: Assigns p.first to first and p.second to second[.](#pair-27.sentence-1)
[28](#pair-28)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1056)
*Returns*: *this[.](#pair-28.sentence-1)
[🔗](#lib:operator=,pair___)
`template<class U1, class U2> constexpr const pair& operator=(const pair<U1, U2>& p) const;
`
[29](#pair-29)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1067)
*Constraints*:
- [(29.1)](#pair-29.1)
is_assignable_v<const T1&, const U1&> is true, and
- [(29.2)](#pair-29.2)
is_assignable_v<const T2&, const U2&> is true[.](#pair-29.sentence-1)
[30](#pair-30)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1076)
*Effects*: Assigns p.first to first and p.second to second[.](#pair-30.sentence-1)
[31](#pair-31)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1080)
*Returns*: *this[.](#pair-31.sentence-1)
[🔗](#lib:operator=,pair____)
`constexpr pair& operator=(pair&& p) noexcept(see below);
`
[32](#pair-32)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1091)
*Constraints*:
- [(32.1)](#pair-32.1)
is_move_assignable_v<T1> is true and
- [(32.2)](#pair-32.2)
is_move_assignable_v<T2> is true[.](#pair-32.sentence-1)
[33](#pair-33)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1098)
*Effects*: Assigns std::forward<T1>(p.first) to first andstd::forward<T2>(p.second) to second[.](#pair-33.sentence-1)
[34](#pair-34)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1103)
*Returns*: *this[.](#pair-34.sentence-1)
[35](#pair-35)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1107)
*Remarks*: The exception specification is equivalent to:is_nothrow_move_assignable_v<T1> && is_nothrow_move_assignable_v<T2>
[🔗](#lib:operator=,pair_____)
`constexpr const pair& operator=(pair&& p) const;
`
[36](#pair-36)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1121)
*Constraints*:
- [(36.1)](#pair-36.1)
is_assignable_v<const T1&, T1> is true and
- [(36.2)](#pair-36.2)
is_assignable_v<const T2&, T2> is true[.](#pair-36.sentence-1)
[37](#pair-37)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1130)
*Effects*: Assigns std::forward<T1>(p.first) to first andstd::forward<T2>(p.second) to second[.](#pair-37.sentence-1)
[38](#pair-38)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1135)
*Returns*: *this[.](#pair-38.sentence-1)
[🔗](#lib:operator=,pair______)
`template<class U1, class U2> constexpr pair& operator=(pair<U1, U2>&& p);
`
[39](#pair-39)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1146)
*Constraints*:
- [(39.1)](#pair-39.1)
is_assignable_v<T1&, U1> is true and
- [(39.2)](#pair-39.2)
is_assignable_v<T2&, U2> is true[.](#pair-39.sentence-1)
[40](#pair-40)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1153)
*Effects*: Assigns std::forward<U1>(p.first) first andstd::forward<U2>(p.second) to second[.](#pair-40.sentence-1)
[41](#pair-41)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1158)
*Returns*: *this[.](#pair-41.sentence-1)
[🔗](#lib:operator=,pair_______)
`template<[pair-like](tuple.syn#concept:pair-like "22.4.2Header <tuple> synopsis[tuple.syn]") P> constexpr pair& operator=(P&& p);
`
[42](#pair-42)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1169)
*Constraints*:
- [(42.1)](#pair-42.1)
[*different-from*](range.utility.helpers#concept:different-from "25.5.2Helper concepts[range.utility.helpers]")<P, pair> ([[range.utility.helpers]](range.utility.helpers "25.5.2Helper concepts"))
is true,
- [(42.2)](#pair-42.2)
remove_cvref_t<P> is not a specialization of ranges::subrange,
- [(42.3)](#pair-42.3)
is_assignable_v<T1&, decltype(get<0>(std::forward<P>(p)))> is true, and
- [(42.4)](#pair-42.4)
is_assignable_v<T2&, decltype(get<1>(std::forward<P>(p)))> is true[.](#pair-42.sentence-1)
[43](#pair-43)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1185)
*Effects*: Assigns get<0>(std::forward<P>(p)) to first andget<1>(std::forward<P>(p)) to second[.](#pair-43.sentence-1)
[44](#pair-44)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1190)
*Returns*: *this[.](#pair-44.sentence-1)
[🔗](#lib:operator=,pair________)
`template<[pair-like](tuple.syn#concept:pair-like "22.4.2Header <tuple> synopsis[tuple.syn]") P> constexpr const pair& operator=(P&& p) const;
`
[45](#pair-45)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1201)
*Constraints*:
- [(45.1)](#pair-45.1)
[*different-from*](range.utility.helpers#concept:different-from "25.5.2Helper concepts[range.utility.helpers]")<P, pair> ([[range.utility.helpers]](range.utility.helpers "25.5.2Helper concepts"))
is true,
- [(45.2)](#pair-45.2)
remove_cvref_t<P> is not a specialization of ranges::subrange,
- [(45.3)](#pair-45.3)
is_assignable_v<const T1&, decltype(get<0>(std::forward<P>(p)))> is true, and
- [(45.4)](#pair-45.4)
is_assignable_v<const T2&, decltype(get<1>(std::forward<P>(p)))> is true[.](#pair-45.sentence-1)
[46](#pair-46)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1217)
*Effects*: Assigns get<0>(std::forward<P>(p)) to first andget<1>(std::forward<P>(p)) to second[.](#pair-46.sentence-1)
[47](#pair-47)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1222)
*Returns*: *this[.](#pair-47.sentence-1)
[🔗](#lib:operator=,pair_________)
`template<class U1, class U2> constexpr const pair& operator=(pair<U1, U2>&& p) const;
`
[48](#pair-48)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1233)
*Constraints*:
- [(48.1)](#pair-48.1)
is_assignable_v<const T1&, U1> is true, and
- [(48.2)](#pair-48.2)
is_assignable_v<const T2&, U2> is true[.](#pair-48.sentence-1)
[49](#pair-49)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1242)
*Effects*: Assigns std::forward<U1>(p.first) to first andstd::forward<U2>(u.second) to second[.](#pair-49.sentence-1)
[50](#pair-50)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1247)
*Returns*: *this[.](#pair-50.sentence-1)
[🔗](#lib:swap,pair)
`constexpr void swap(pair& p) noexcept(see below);
constexpr void swap(const pair& p) const noexcept(see below);
`
[51](#pair-51)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1259)
*Mandates*:
- [(51.1)](#pair-51.1)
For the first overload,is_swappable_v<T1> is true andis_swappable_v<T2> is true[.](#pair-51.1.sentence-1)
- [(51.2)](#pair-51.2)
For the second overload,is_swappable_v<const T1> is true andis_swappable_v<const T2> is true[.](#pair-51.2.sentence-1)
[52](#pair-52)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1272)
*Preconditions*: first is swappable with ([[swappable.requirements]](swappable.requirements "16.4.4.3Swappable requirements")) p.first andsecond is swappable with p.second[.](#pair-52.sentence-1)
[53](#pair-53)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1277)
*Effects*: Swapsfirst with p.first andsecond with p.second[.](#pair-53.sentence-1)
[54](#pair-54)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1283)
*Remarks*: The exception specification is equivalent to:
- [(54.1)](#pair-54.1)
is_nothrow_swappable_v<T1> && is_nothrow_swappable_v<T2> for the first overload, and
- [(54.2)](#pair-54.2)
is_nothrow_swappable_v<const T1> && is_nothrow_swappable_v<const T2> for the second overload[.](#pair-54.sentence-1)
### [22.3.3](#spec) Specialized algorithms [[pairs.spec]](pairs.spec)
[🔗](#lib:operator==,pair)
`template<class T1, class T2, class U1, class U2>
constexpr bool operator==(const pair<T1, T2>& x, const pair<U1, U2>& y);
`
[1](#spec-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1305)
*Constraints*: x.first == y.first and x.second == y.second are
valid expressions and
each of decltype(x.first == y.first) anddecltype(x.second == y.second) models *boolean-
testable*[.](#spec-1.sentence-1)
[2](#spec-2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1312)
*Returns*: x.first == y.first && x.second == y.second[.](#spec-2.sentence-1)
[🔗](#lib:operator%3c=%3e,pair)
`template<class T1, class T2, class U1, class U2>
constexpr common_comparison_category_t<synth-three-way-result<T1, U1>,
synth-three-way-result<T2, U2>>
operator<=>(const pair<T1, T2>& x, const pair<U1, U2>& y);
`
[3](#spec-3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1326)
*Effects*: Equivalent to:if (auto c = *synth-three-way*(x.first, y.first); c != 0) return c;return *synth-three-way*(x.second, y.second);
[🔗](#lib:swap,pair_)
`template<class T1, class T2>
constexpr void swap(pair<T1, T2>& x, pair<T1, T2>& y) noexcept(noexcept(x.swap(y)));
template<class T1, class T2>
constexpr void swap(const pair<T1, T2>& x, const pair<T1, T2>& y) noexcept(noexcept(x.swap(y)));
`
[4](#spec-4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1344)
*Constraints*:
- [(4.1)](#spec-4.1)
For the first overload,is_swappable_v<T1> is true andis_swappable_v<T2> is true[.](#spec-4.1.sentence-1)
- [(4.2)](#spec-4.2)
For the second overload,is_swappable_v<const T1> is true andis_swappable_v<const T2> is true[.](#spec-4.2.sentence-1)
[5](#spec-5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1357)
*Effects*: Equivalent to x.swap(y)[.](#spec-5.sentence-1)
[🔗](#lib:make_pair)
`template<class T1, class T2>
constexpr pair<unwrap_ref_decay_t<T1>, unwrap_ref_decay_t<T2>> make_pair(T1&& x, T2&& y);
`
[6](#spec-6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1369)
*Returns*: pair<unwrap_ref_decay_t<T1>,
unwrap_ref_decay_t<T2>>(std::forward<T1>(x), std::forward<T2>(y))
[7](#spec-7)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1377)
[*Example [1](#spec-example-1)*:
In place of:return pair<int, double>(5, 3.1415926); // explicit types a C++ program may contain:return make_pair(5, 3.1415926); // types are deduced
— *end example*]
### [22.3.4](#pair.astuple) Tuple-like access to pair [[pair.astuple]](pair.astuple)
[🔗](#lib:tuple_size)
`template<class T1, class T2>
struct tuple_size<pair<T1, T2>> : integral_constant<size_t, 2> { };
`
[🔗](#lib:tuple_element)
`template<size_t I, class T1, class T2>
struct tuple_element<I, pair<T1, T2>> {
using type = see below ;
};
`
[1](#pair.astuple-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1405)
*Mandates*: I<2[.](#pair.astuple-1.sentence-1)
[2](#pair.astuple-2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1409)
*Type*: The type T1 if I is 0, otherwise the type T2[.](#pair.astuple-2.sentence-1)
[🔗](#lib:get,pair)
`template<size_t I, class T1, class T2>
constexpr tuple_element_t<I, pair<T1, T2>>& get(pair<T1, T2>& p) noexcept;
template<size_t I, class T1, class T2>
constexpr const tuple_element_t<I, pair<T1, T2>>& get(const pair<T1, T2>& p) noexcept;
template<size_t I, class T1, class T2>
constexpr tuple_element_t<I, pair<T1, T2>>&& get(pair<T1, T2>&& p) noexcept;
template<size_t I, class T1, class T2>
constexpr const tuple_element_t<I, pair<T1, T2>>&& get(const pair<T1, T2>&& p) noexcept;
`
[3](#pair.astuple-3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1427)
*Mandates*: I<2[.](#pair.astuple-3.sentence-1)
[4](#pair.astuple-4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1431)
*Returns*:
- [(4.1)](#pair.astuple-4.1)
If I is 0, returns a reference to p.first[.](#pair.astuple-4.1.sentence-1)
- [(4.2)](#pair.astuple-4.2)
If I is 1, returns a reference to p.second[.](#pair.astuple-4.2.sentence-1)
[🔗](#lib:get,pair_)
`template<class T1, class T2>
constexpr T1& get(pair<T1, T2>& p) noexcept;
template<class T1, class T2>
constexpr const T1& get(const pair<T1, T2>& p) noexcept;
template<class T1, class T2>
constexpr T1&& get(pair<T1, T2>&& p) noexcept;
template<class T1, class T2>
constexpr const T1&& get(const pair<T1, T2>&& p) noexcept;
`
[5](#pair.astuple-5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1455)
*Mandates*: T1 and T2 are distinct types[.](#pair.astuple-5.sentence-1)
[6](#pair.astuple-6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1459)
*Returns*: A reference to p.first[.](#pair.astuple-6.sentence-1)
[🔗](#lib:get,pair__)
`template<class T2, class T1>
constexpr T2& get(pair<T1, T2>& p) noexcept;
template<class T2, class T1>
constexpr const T2& get(const pair<T1, T2>& p) noexcept;
template<class T2, class T1>
constexpr T2&& get(pair<T1, T2>&& p) noexcept;
template<class T2, class T1>
constexpr const T2&& get(const pair<T1, T2>&& p) noexcept;
`
[7](#pair.astuple-7)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1477)
*Mandates*: T1 and T2 are distinct types[.](#pair.astuple-7.sentence-1)
[8](#pair.astuple-8)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1481)
*Returns*: A reference to p.second[.](#pair.astuple-8.sentence-1)
### [22.3.5](#pair.piecewise) Piecewise construction [[pair.piecewise]](pair.piecewise)
[🔗](#lib:piecewise_construct_t)
`struct piecewise_construct_t {
explicit piecewise_construct_t() = default;
};
inline constexpr piecewise_construct_t piecewise_construct{};
`
[1](#pair.piecewise-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L1497)
The struct piecewise_construct_t is an empty class type
used as a unique type to disambiguate constructor and function overloading[.](#pair.piecewise-1.sentence-1)
Specifically,pair has a constructor with piecewise_construct_t as the
first argument, immediately followed by two <tuple> arguments used
for piecewise construction of the elements of the pair object[.](#pair.piecewise-1.sentence-2)