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[comparisons.equal.to]
# 22 General utilities library [[utilities]](./#utilities)
## 22.10 Function objects [[function.objects]](function.objects#comparisons.equal.to)
### 22.10.8 Comparisons [[comparisons]](comparisons#equal.to)
#### 22.10.8.2 Class template equal_to [comparisons.equal.to]
[🔗](#lib:equal_to)
`template<class T = void> struct equal_to {
constexpr bool operator()(const T& x, const T& y) const;
};
`
[🔗](#lib:operator(),equal_to)
`constexpr bool operator()(const T& x, const T& y) const;
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L12296)
*Returns*: x == y[.](#1.sentence-1)
[🔗](#lib:equal_to%3c%3e)
`template<> struct equal_to<void> {
template<class T, class U> constexpr auto operator()(T&& t, U&& u) const
-> decltype(std::forward<T>(t) == std::forward<U>(u));
using is_transparent = unspecified;
};
`
[🔗](#lib:operator(),equal_to%3c%3e)
`template<class T, class U> constexpr auto operator()(T&& t, U&& u) const
-> decltype(std::forward<T>(t) == std::forward<U>(u));
`
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L12318)
*Returns*: std::forward<T>(t) == std::forward<U>(u)[.](#2.sentence-1)

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[comparisons.general]
# 22 General utilities library [[utilities]](./#utilities)
## 22.10 Function objects [[function.objects]](function.objects#comparisons.general)
### 22.10.8 Comparisons [[comparisons]](comparisons#general)
#### 22.10.8.1 General [comparisons.general]
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L12260)
The library provides basic function object classes for all of the comparison
operators in the language ([[expr.rel]](expr.rel "7.6.9Relational operators"), [[expr.eq]](expr.eq "7.6.10Equality operators"))[.](#1.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L12264)
For templates less, greater, less_equal, andgreater_equal, the specializations for any pointer type
yield a result consistent with the
implementation-defined strict total order over pointers ([[defns.order.ptr]](defns.order.ptr "3.28implementation-defined strict total order over pointers"))[.](#2.sentence-1)
[*Note [1](#note-1)*:
If a < b is well-defined
for pointers a and b of type P,
then (a < b) == less<P>()(a, b),(a > b) == greater<P>()(a, b), and so forth[.](#2.sentence-2)
— *end note*]
For template specializations less<void>, greater<void>,less_equal<void>, and greater_equal<void>,
if the call operator calls a built-in operator comparing pointers,
the call operator yields a result consistent
with the implementation-defined strict total order over pointers[.](#2.sentence-3)

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[comparisons.greater]
# 22 General utilities library [[utilities]](./#utilities)
## 22.10 Function objects [[function.objects]](function.objects#comparisons.greater)
### 22.10.8 Comparisons [[comparisons]](comparisons#greater)
#### 22.10.8.4 Class template greater [comparisons.greater]
[🔗](#lib:greater)
`template<class T = void> struct greater {
constexpr bool operator()(const T& x, const T& y) const;
};
`
[🔗](#lib:operator(),greater)
`constexpr bool operator()(const T& x, const T& y) const;
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L12380)
*Returns*: x > y[.](#1.sentence-1)
[🔗](#lib:greater%3c%3e)
`template<> struct greater<void> {
template<class T, class U> constexpr auto operator()(T&& t, U&& u) const
-> decltype(std::forward<T>(t) > std::forward<U>(u));
using is_transparent = unspecified;
};
`
[🔗](#lib:operator(),greater%3c%3e)
`template<class T, class U> constexpr auto operator()(T&& t, U&& u) const
-> decltype(std::forward<T>(t) > std::forward<U>(u));
`
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L12402)
*Returns*: std::forward<T>(t) > std::forward<U>(u)[.](#2.sentence-1)

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[comparisons.greater.equal]
# 22 General utilities library [[utilities]](./#utilities)
## 22.10 Function objects [[function.objects]](function.objects#comparisons.greater.equal)
### 22.10.8 Comparisons [[comparisons]](comparisons#greater.equal)
#### 22.10.8.6 Class template greater_equal [comparisons.greater.equal]
[🔗](#lib:greater_equal)
`template<class T = void> struct greater_equal {
constexpr bool operator()(const T& x, const T& y) const;
};
`
[🔗](#lib:operator(),greater_equal)
`constexpr bool operator()(const T& x, const T& y) const;
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L12464)
*Returns*: x >= y[.](#1.sentence-1)
[🔗](#lib:greater_equal%3c%3e)
`template<> struct greater_equal<void> {
template<class T, class U> constexpr auto operator()(T&& t, U&& u) const
-> decltype(std::forward<T>(t) >= std::forward<U>(u));
using is_transparent = unspecified;
};
`
[🔗](#lib:operator(),greater_equal%3c%3e)
`template<class T, class U> constexpr auto operator()(T&& t, U&& u) const
-> decltype(std::forward<T>(t) >= std::forward<U>(u));
`
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L12486)
*Returns*: std::forward<T>(t) >= std::forward<U>(u)[.](#2.sentence-1)

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[comparisons.less]
# 22 General utilities library [[utilities]](./#utilities)
## 22.10 Function objects [[function.objects]](function.objects#comparisons.less)
### 22.10.8 Comparisons [[comparisons]](comparisons#less)
#### 22.10.8.5 Class template less [comparisons.less]
[🔗](#lib:less)
`template<class T = void> struct less {
constexpr bool operator()(const T& x, const T& y) const;
};
`
[🔗](#lib:operator(),less)
`constexpr bool operator()(const T& x, const T& y) const;
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L12422)
*Returns*: x < y[.](#1.sentence-1)
[🔗](#lib:less%3c%3e)
`template<> struct less<void> {
template<class T, class U> constexpr auto operator()(T&& t, U&& u) const
-> decltype(std::forward<T>(t) < std::forward<U>(u));
using is_transparent = unspecified;
};
`
[🔗](#lib:operator(),less%3c%3e)
`template<class T, class U> constexpr auto operator()(T&& t, U&& u) const
-> decltype(std::forward<T>(t) < std::forward<U>(u));
`
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L12444)
*Returns*: std::forward<T>(t) < std::forward<U>(u)[.](#2.sentence-1)

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[comparisons.less.equal]
# 22 General utilities library [[utilities]](./#utilities)
## 22.10 Function objects [[function.objects]](function.objects#comparisons.less.equal)
### 22.10.8 Comparisons [[comparisons]](comparisons#less.equal)
#### 22.10.8.7 Class template less_equal [comparisons.less.equal]
[🔗](#lib:less_equal)
`template<class T = void> struct less_equal {
constexpr bool operator()(const T& x, const T& y) const;
};
`
[🔗](#lib:operator(),less_equal)
`constexpr bool operator()(const T& x, const T& y) const;
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L12506)
*Returns*: x <= y[.](#1.sentence-1)
[🔗](#lib:less_equal%3c%3e)
`template<> struct less_equal<void> {
template<class T, class U> constexpr auto operator()(T&& t, U&& u) const
-> decltype(std::forward<T>(t) <= std::forward<U>(u));
using is_transparent = unspecified;
};
`
[🔗](#lib:operator(),less_equal%3c%3e)
`template<class T, class U> constexpr auto operator()(T&& t, U&& u) const
-> decltype(std::forward<T>(t) <= std::forward<U>(u));
`
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L12528)
*Returns*: std::forward<T>(t) <= std::forward<U>(u)[.](#2.sentence-1)

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[comparisons.not.equal.to]
# 22 General utilities library [[utilities]](./#utilities)
## 22.10 Function objects [[function.objects]](function.objects#comparisons.not.equal.to)
### 22.10.8 Comparisons [[comparisons]](comparisons#not.equal.to)
#### 22.10.8.3 Class template not_equal_to [comparisons.not.equal.to]
[🔗](#lib:not_equal_to)
`template<class T = void> struct not_equal_to {
constexpr bool operator()(const T& x, const T& y) const;
};
`
[🔗](#lib:operator(),not_equal_to)
`constexpr bool operator()(const T& x, const T& y) const;
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L12338)
*Returns*: x != y[.](#1.sentence-1)
[🔗](#lib:not_equal_to%3c%3e)
`template<> struct not_equal_to<void> {
template<class T, class U> constexpr auto operator()(T&& t, U&& u) const
-> decltype(std::forward<T>(t) != std::forward<U>(u));
using is_transparent = unspecified;
};
`
[🔗](#lib:operator(),not_equal_to%3c%3e)
`template<class T, class U> constexpr auto operator()(T&& t, U&& u) const
-> decltype(std::forward<T>(t) != std::forward<U>(u));
`
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L12360)
*Returns*: std::forward<T>(t) != std::forward<U>(u)[.](#2.sentence-1)

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[comparisons.three.way]
# 22 General utilities library [[utilities]](./#utilities)
## 22.10 Function objects [[function.objects]](function.objects#comparisons.three.way)
### 22.10.8 Comparisons [[comparisons]](comparisons#three.way)
#### 22.10.8.8 Class compare_three_way [comparisons.three.way]
[🔗](#lib:compare_three_way)
namespace std {struct compare_three_way {template<class T, class U>constexpr auto operator()(T&& t, U&& u) const; using is_transparent = *unspecified*; };}
[🔗](#itemdecl:1)
`template<class T, class U>
constexpr auto operator()(T&& t, U&& u) const;
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L12553)
*Constraints*: T and U satisfy [three_way_comparable_with](cmp.concept#concept:three_way_comparable_with "17.12.4Concept three_­way_­comparable[cmp.concept]")[.](#1.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L12557)
*Preconditions*: If the expression std::forward<T>(t) <=> std::forward<U>(u) results in
a call to a built-in operator <=> comparing pointers of type P,
the conversion sequences from both T and U to P are equality-preserving ([[concepts.equality]](concepts.equality "18.2Equality preservation"));
otherwise, T and U model [three_way_comparable_with](cmp.concept#concept:three_way_comparable_with "17.12.4Concept three_­way_­comparable[cmp.concept]")[.](#2.sentence-1)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L12565)
*Effects*:
- [(3.1)](#3.1)
If the expression std::forward<T>(t) <=> std::forward<U>(u) results in
a call to a built-in operator <=> comparing pointers of type P,
returns strong_ordering::less if (the converted value of) t precedes u in the implementation-defined strict total order
over pointers ([[defns.order.ptr]](defns.order.ptr "3.28implementation-defined strict total order over pointers")), strong_ordering::greater if u precedes t, and
otherwise strong_ordering::equal.
- [(3.2)](#3.2)
Otherwise, equivalent to: return std::forward<T>(t) <=> std::forward<U>(u);