实验性库头文件 <experimental/ranges/algorithm>

 

C++

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自立实现与有宿主实现

语言

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标准库标头

具名要求

功能特性测试宏 (C++20)

语言支持库

概念库 (C++20)

元编程库 (C++11)

诊断库

通用工具库

字符串库

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范围库 (C++20)

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文件系统库 (C++17)

正则表达式库 (C++11)

并发支持库 (C++11)

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符号索引

外部库

 

标准库标头

注：修订记号中的反斜杠 '/' 意味着此标头被弃用和/或被移除。

语言支持
<cstddef> <cstdlib> <version> (C++20) <limits> <climits>	<cfloat> <cstdint> (C++11) <stdfloat> (C++23) <new> <typeinfo>	<source_location> (C++20) <exception> <initializer_list> (C++11) <compare> (C++20)	<coroutine> (C++20) <csignal> <csetjmp> <cstdarg>
概念
<concepts> (C++20)
诊断
<stdexcept> <stacktrace> (C++23)	<cassert>	<cerrno>	<system_error> (C++11)
内存管理
<memory>	<memory_resource> (C++17)	<scoped_allocator> (C++11)
元编程
<type_traits> (C++11)	<ratio> (C++11)
通用工具
<utility> <tuple> (C++11) <optional> (C++17) <variant> (C++17)	<any> (C++17) <expected> (C++23) <bitset>	<functional> <typeindex> (C++11) <execution> (C++17)	<charconv> (C++17) <format> (C++20) <bit> (C++20)
字符串
<string_view> (C++17) <string>	<cctype> <cwctype>	<cstring> <cwchar>	<cuchar> (C++11)
容器
<array> (C++11) <deque> <forward_list> (C++11) <list>	<vector> <map> <set> <unordered_map> (C++11)	<unordered_set> (C++11) <queue> <stack> <flat_map> (C++23)	<flat_set> (C++23) <span> (C++20) <mdspan> (C++23)
迭代器
<iterator>
范围
<ranges> (C++20)	<generator> (C++23)
算法
<algorithm>	<execution>
数值
<cfenv> (C++11) <complex>	<random> (C++11) <valarray>	<cmath>	<numbers> (C++20)
日期时间
<chrono> (C++11)	<ctime>
本地化
<locale>	<clocale>	<codecvt> (C++11/17)
输入/输出
<iosfwd> <iostream> <ios> <streambuf>	<istream> <ostream> <iomanip> <print> (C++23)	<sstream> <spanstream> (C++23) <fstream> <syncstream> (C++20)	<filesystem> (C++17) <cstdio> <cinttypes> (C++11) <strstream> (C++98/)
正则表达式
<regex>
并发支持
<stop_token> (C++20) <thread> (C++11) <atomic> (C++11)	<stdatomic.h> (C++23) <mutex> (C++11) <shared_mutex> (C++14)	<condition_variable> (C++11)   <semaphore> (C++20) <latch> (C++20)	<barrier> (C++20) <future> (C++11)
C 兼容
<cstdbool> (C++11/17/20)   <ccomplex> (C++11/17/20)	<ctgmath> (C++11/17/20)	<cstdalign> (C++11/17/20)	<ciso646> (C++20 前)

 

实验性库头文件

文件系统 TS
<experimental/filesystem>
并行 TS (v1, v2)
<experimental/algorithm> <experimental/execution_policy> <experimental/exception_list>	<experimental/numeric> <experimental/simd> <experimental/task_block>
库基础 TS (v1, v2, v3)
<experimental/algorithm> <experimental/any> <experimental/array> <experimental/chrono> <experimental/deque> <experimental/forward_list> <experimental/functional> <experimental/future> <experimental/iterator> <experimental/list> <experimental/map> <experimental/memory> <experimental/memory_resource> <experimental/numeric> <experimental/optional> <experimental/propagate_const>	<experimental/random> <experimental/ratio> <experimental/regex> <experimental/scope> <experimental/set> <experimental/source_location> <experimental/string> <experimental/string_view> <experimental/system_error> <experimental/tuple> <experimental/type_traits> <experimental/unordered_map> <experimental/unordered_set> <experimental/utility> <experimental/vector>
并发 TS
<experimental/atomic> <experimental/barrier>	<experimental/future> <experimental/latch>
范围 TS
<experimental/ranges/algorithm> <experimental/ranges/concepts> <experimental/ranges/functional>     <experimental/ranges/iterator>	<experimental/ranges/random> <experimental/ranges/tuple> <experimental/ranges/type_traits> <experimental/ranges/utility>
协程 TS
<experimental/coroutine>
网络 TS
<experimental/buffer> <experimental/executor> <experimental/internet> <experimental/io_context>	<experimental/net> <experimental/netfwd> <experimental/socket> <experimental/timer>
反射 TS
<experimental/reflect>

 

此头文件是范围库的一部分。

标签说明符

在命名空间 std::experimental::ranges::tag 定义
inin1in2outout1out2funminmaxbeginend	用于 ranges::tagged 的标签说明符 (类)

不修改序列的操作

在命名空间 std::experimental::ranges 定义
all_ofany_ofnone_of	检查谓词是否对范围中所有、任一或无元素为 true (函数模板)
for_each	应用函数到元素范围 (函数模板)
countcount_if	返回满足特定判别标准的元素数 (函数模板)
mismatch	寻找两个范围出现不同的首个位置 (函数模板)
equal	确定元素的二个集合是否相同 (函数模板)
lexicographical_compare	当一个范围按字典顺序小于另一个范围时，返回 true (函数模板)
findfind_iffind_if_not	寻找首个满足特定判别标准的元素 (函数模板)
find_end	在特定范围中寻找最后出现的元素序列 (函数模板)
find_first_of	搜索元素集中的任何元素 (函数模板)
adjacent_find	寻找头两个相等（或满足给定谓词）的相邻项 (函数模板)
search	搜索一个元素范围 (函数模板)
search_n	在范围中搜索一定量的某个元素的连续副本 (函数模板)

修改序列的操作

在命名空间 std::experimental::ranges 定义
copycopy_if	将某一范围的元素复制到一个新的位置 (函数模板)
copy_n	将一定数目的元素复制到一个新的位置 (函数模板)
copy_backward	按从后往前的顺序复制一个范围内的元素 (函数模板)
move	将某一范围的元素移动到一个新的位置 (函数模板)
move_backward	按从后往前的顺序移动某一范围的元素到新的位置 (函数模板)
fill	将一个特定值赋值给一个元素范围 (函数模板)
fill_n	将一个值赋值给一定数量的元素 (函数模板)
transform	应用一个函数到元素范围 (函数模板)
generate	保存函数结果于一个范围中 (函数模板)
generate_n	保存 N 次应用一个函数的结果 (函数模板)
removeremove_if	移除满足特定判别标准的元素 (函数模板)
remove_copyremove_copy_if	复制元素范围，忽略满足特定判别标准的元素 (函数模板)
replacereplace_if	将所有满足特定判别标准的值替换为另一值 (函数模板)
replace_copyreplace_copy_if	复制范围，以另一值替换满足特定判别标准的元素 (函数模板)
swap_ranges	交换两个元素范围 (函数模板)
reverse	逆转范围中的元素顺序 (函数模板)
reverse_copy	创建一个范围的逆向副本 (函数模板)
rotate	旋转范围中的元素顺序 (函数模板)
rotate_copy	复制并旋转元素范围 (函数模板)
shuffle	随机重排范围中的元素 (函数模板)
unique	移除范围中连续的重复元素 (函数模板)
unique_copy	创建某范围的不含连续重复元素的副本 (函数模板)

划分操作

在命名空间 std::experimental::ranges 定义
is_partitioned	判断范围是否已按给定的谓词划分 (函数模板)
partition	将范围中的元素分为两组 (函数模板)
partition_copy	复制一个范围，将各元素分为两组 (函数模板)
stable_partition	划分元素到两个组中，同时保持其相对顺序 (函数模板)
partition_point	定位已划分范围的划分点 (函数模板)

排序操作

在命名空间 std::experimental::ranges 定义
is_sorted	检查范围是否以升序排序 (函数模板)
is_sorted_until	寻找最大已排序子范围 (函数模板)
sort	将范围按升序排序 (函数模板)
partial_sort	排序一个范围的前 N 个元素 (函数模板)
partial_sort_copy	对范围内的元素进行复制并部分排序 (函数模板)
stable_sort	将范围内的元素排序，同时保持相等的元素之间的顺序 (函数模板)
nth_element	将给定的范围部分排序，确保其按给定元素划分 (函数模板)

（已排序范围上的）二分搜索操作

在命名空间 std::experimental::ranges 定义
lower_bound	返回指向首个不小于给定值的元素的迭代器 (函数模板)
upper_bound	返回指向首个大于固定值的元素的迭代器 (函数模板)
binary_search	确定元素是否存在于固定范围中 (函数模板)
equal_range	返回匹配特定关键的元素范围 (函数模板)

（已排序范围上的）集合操作

在命名空间 std::experimental::ranges 定义
merge	归并两个已排序范围 (函数模板)
inplace_merge	就地归并两个已排序范围 (函数模板)
includes	若一个集合是另一个的子集则返回 true (函数模板)
set_difference	计算两个集合的差集 (函数模板)
set_intersection	计算两个集合的交集 (函数模板)
set_symmetric_difference	计算两个集合的对称差 (函数模板)
set_union	计算两个集合的并集 (函数模板)

堆操作

在命名空间 std::experimental::ranges 定义
is_heap	检查给定范围是否为一个最大堆 (函数模板)
is_heap_until	寻找作为最大堆的最大子范围 (函数模板)
make_heap	从元素范围中创建出最大堆 (函数模板)
push_heap	添加元素到最大堆 (函数模板)
pop_heap	从最大堆移除最大元素 (函数模板)
sort_heap	将最大堆转化成以升序排序的元素范围 (函数模板)

最小/最大操作

在命名空间 std::experimental::ranges 定义
max	返回给定值的较大者 (函数模板)
max_element	返回范围中的最大元素 (函数模板)
min	返回给定值的较小者 (函数模板)
min_element	返回范围中的最小元素 (函数模板)
minmax	返回二个元素的较小和较大者 (函数模板)
minmax_element	返回范围中的最小和最大元素 (函数模板)

排列操作

在命名空间 std::experimental::ranges 定义
is_permutation	判断一个序列是否为另一个序列的排列 (函数模板)
next_permutation	产生某个元素范围的按字典顺序的下一个较大的排列 (函数模板)
prev_permutation	产生某个元素范围的按字典顺序的下一个较小的排列 (函数模板)

概要

#include <initializer_list>
 
namespace std { namespace experimental { namespace ranges { inline namespace v1 {
 
namespace tag {
  struct in;
  struct in1;
  struct in2;
  struct out;
  struct out1;
  struct out2;
  struct fun;
  struct min;
  struct max;
  struct begin;
  struct end;
}
 
template <InputIterator I, Sentinel<I> S, class Proj = identity,
    IndirectUnaryPredicate<projected<I, Proj>> Pred>
  bool all_of(I first, S last, Pred pred, Proj proj = Proj{});
 
template <InputRange Rng, class Proj = identity,
    IndirectUnaryPredicate<projected<iterator_t<Rng>, Proj>> Pred>
  bool all_of(Rng&& rng, Pred pred, Proj proj = Proj{});
 
template <InputIterator I, Sentinel<I> S, class Proj = identity,
    IndirectUnaryPredicate<projected<I, Proj>> Pred>
  bool any_of(I first, S last, Pred pred, Proj proj = Proj{});
 
template <InputRange Rng, class Proj = identity,
    IndirectUnaryPredicate<projected<iterator_t<Rng>, Proj>> Pred>
  bool any_of(Rng&& rng, Pred pred, Proj proj = Proj{});
 
template <InputIterator I, Sentinel<I> S, class Proj = identity,
    IndirectUnaryPredicate<projected<I, Proj>> Pred>
  bool none_of(I first, S last, Pred pred, Proj proj = Proj{});
 
template <InputRange Rng, class Proj = identity,
    IndirectUnaryPredicate<projected<iterator_t<Rng>, Proj>> Pred>
  bool none_of(Rng&& rng, Pred pred, Proj proj = Proj{});
 
template <InputIterator I, Sentinel<I> S, class Proj = identity,
    IndirectUnaryInvocable<projected<I, Proj>> Fun>
  tagged_pair<tag::in(I), tag::fun(Fun)>
    for_each(I first, S last, Fun f, Proj proj = Proj{});
 
template <InputRange Rng, class Proj = identity,
    IndirectUnaryInvocable<projected<iterator_t<Rng>, Proj>> Fun>
  tagged_pair<tag::in(safe_iterator_t<Rng>), tag::fun(Fun)>
    for_each(Rng&& rng, Fun f, Proj proj = Proj{});
 
template <InputIterator I, Sentinel<I> S, class T, class Proj = identity>
  requires IndirectRelation<equal_to<>, projected<I, Proj>, const T*>
  I find(I first, S last, const T& value, Proj proj = Proj{});
 
template <InputRange Rng, class T, class Proj = identity>
  requires IndirectRelation<equal_to<>, projected<iterator_t<Rng>, Proj>, const T*>
  safe_iterator_t<Rng>
    find(Rng&& rng, const T& value, Proj proj = Proj{});
 
template <InputIterator I, Sentinel<I> S, class Proj = identity,
    IndirectUnaryPredicate<projected<I, Proj>> Pred>
  I find_if(I first, S last, Pred pred, Proj proj = Proj{});
 
template <InputRange Rng, class Proj = identity,
    IndirectUnaryPredicate<projected<iterator_t<Rng>, Proj>> Pred>
  safe_iterator_t<Rng>
    find_if(Rng&& rng, Pred pred, Proj proj = Proj{});
 
template <InputIterator I, Sentinel<I> S, class Proj = identity,
    IndirectUnaryPredicate<projected<I, Proj>> Pred>
  I find_if_not(I first, S last, Pred pred, Proj proj = Proj{});
 
template <InputRange Rng, class Proj = identity,
    IndirectUnaryPredicate<projected<iterator_t<Rng>, Proj>> Pred>
  safe_iterator_t<Rng>
    find_if_not(Rng&& rng, Pred pred, Proj proj = Proj{});
 
template <ForwardIterator I1, Sentinel<I1> S1, ForwardIterator I2,
    Sentinel<I2> S2, class Proj = identity,
    IndirectRelation<I2, projected<I1, Proj>> Pred = equal_to<>>
  I1
    find_end(I1 first1, S1 last1, I2 first2, S2 last2,
             Pred pred = Pred{}, Proj proj = Proj{});
 
template <ForwardRange Rng1, ForwardRange Rng2, class Proj = identity,
    IndirectRelation<iterator_t<Rng2>,
      projected<iterator_t<Rng>, Proj>> Pred = equal_to<>>
  safe_iterator_t<Rng1>
    find_end(Rng1&& rng1, Rng2&& rng2, Pred pred = Pred{}, Proj proj = Proj{});
 
template <InputIterator I1, Sentinel<I1> S1, ForwardIterator I2, Sentinel<I2> S2,
    class Proj1 = identity, class Proj2 = identity,
    IndirectRelation<projected<I1, Proj1>, projected<I2, Proj2>> Pred = equal_to<>>
  I1
    find_first_of(I1 first1, S1 last1, I2 first2, S2 last2,
                  Pred pred = Pred{},
                  Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});
 
template <InputRange Rng1, ForwardRange Rng2, class Proj1 = identity,
    class Proj2 = identity,
    IndirectRelation<projected<iterator_t<Rng1>, Proj1>,
      projected<iterator_t<Rng2>, Proj2>> Pred = equal_to<>>
  safe_iterator_t<Rng1>
    find_first_of(Rng1&& rng1, Rng2&& rng2,
                  Pred pred = Pred{},
                  Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});
 
template <ForwardIterator I, Sentinel<I> S, class Proj = identity,
    IndirectRelation<projected<I, Proj>> Pred = equal_to<>>
  I
    adjacent_find(I first, S last, Pred pred = Pred{},
                  Proj proj = Proj{});
 
template <ForwardRange Rng, class Proj = identity,
    IndirectRelation<projected<iterator_t<Rng>, Proj>> Pred = equal_to<>>
  safe_iterator_t<Rng>
    adjacent_find(Rng&& rng, Pred pred = Pred{}, Proj proj = Proj{});
 
template <InputIterator I, Sentinel<I> S, class T, class Proj = identity>
  requires IndirectRelation<equal_to<>, projected<I, Proj>, const T*>
  difference_type_t<I>
    count(I first, S last, const T& value, Proj proj = Proj{});
 
template <InputRange Rng, class T, class Proj = identity>
  requires IndirectRelation<equal_to<>, projected<iterator_t<Rng>, Proj>, const T*>
  difference_type_t<iterator_t<Rng>>
    count(Rng&& rng, const T& value, Proj proj = Proj{});
 
template <InputIterator I, Sentinel<I> S, class Proj = identity,
    IndirectUnaryPredicate<projected<I, Proj>> Pred>
  difference_type_t<I>
    count_if(I first, S last, Pred pred, Proj proj = Proj{});
 
template <InputRange Rng, class Proj = identity,
    IndirectUnaryPredicate<projected<iterator_t<Rng>, Proj>> Pred>
  difference_type_t<iterator_t<Rng>>
    count_if(Rng&& rng, Pred pred, Proj proj = Proj{});
 
template <InputIterator I1, Sentinel<I1> S1, InputIterator I2, Sentinel<I2> S2,
    class Proj1 = identity, class Proj2 = identity,
    IndirectRelation<projected<I1, Proj1>, projected<I2, Proj2>> Pred = equal_to<>>
  tagged_pair<tag::in1(I1), tag::in2(I2)>
    mismatch(I1 first1, S1 last1, I2 first2, S2 last2, Pred pred = Pred{},
             Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});
 
template <InputRange Rng1, InputRange Rng2,
    class Proj1 = identity, class Proj2 = identity,
    IndirectRelation<projected<iterator_t<Rng1>, Proj1>,
      projected<iterator_t<Rng2>, Proj2>> Pred = equal_to<>>
  tagged_pair<tag::in1(safe_iterator_t<Rng1>),
              tag::in2(safe_iterator_t<Rng2>)>
    mismatch(Rng1&& rng1, Rng2&& rng2, Pred pred = Pred{},
             Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});
 
template <InputIterator I1, Sentinel<I1> S1, InputIterator I2, Sentinel<I2> S2,
    class Pred = equal_to<>, class Proj1 = identity, class Proj2 = identity>
  requires IndirectlyComparable<I1, I2, Pred, Proj1, Proj2>
  bool equal(I1 first1, S1 last1, I2 first2, S2 last2,
             Pred pred = Pred{},
             Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});
 
template <InputRange Rng1, InputRange Rng2, class Pred = equal_to<>,
    class Proj1 = identity, class Proj2 = identity>
  requires IndirectlyComparable<iterator_t<Rng1>, iterator_t<Rng2>, Pred, Proj1, Proj2>
  bool equal(Rng1&& rng1, Rng2&& rng2, Pred pred = Pred{},
             Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});
 
template <ForwardIterator I1, Sentinel<I1> S1, ForwardIterator I2,
    Sentinel<I2> S2, class Pred = equal_to<>, class Proj1 = identity,
    class Proj2 = identity>
  requires IndirectlyComparable<I1, I2, Pred, Proj1, Proj2>
  bool is_permutation(I1 first1, S1 last1, I2 first2, S2 last2,
                      Pred pred = Pred{},
                      Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});
 
template <ForwardRange Rng1, ForwardRange Rng2, class Pred = equal_to<>,
    class Proj1 = identity, class Proj2 = identity>
  requires IndirectlyComparable<iterator_t<Rng1>, iterator_t<Rng2>, Pred, Proj1, Proj2>
  bool is_permutation(Rng1&& rng1, Rng2&& rng2, Pred pred = Pred{},
                      Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});
 
template <ForwardIterator I1, Sentinel<I1> S1, ForwardIterator I2,
    Sentinel<I2> S2, class Pred = equal_to<>,
    class Proj1 = identity, class Proj2 = identity>
  requires IndirectlyComparable<I1, I2, Pred, Proj1, Proj2>
  I1
    search(I1 first1, S1 last1, I2 first2, S2 last2,
           Pred pred = Pred{},
           Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});
 
template <ForwardRange Rng1, ForwardRange Rng2, class Pred = equal_to<>,
    class Proj1 = identity, class Proj2 = identity>
  requires IndirectlyComparable<iterator_t<Rng1>, iterator_t<Rng2>, Pred, Proj1, Proj2>
  safe_iterator_t<Rng1>
    search(Rng1&& rng1, Rng2&& rng2, Pred pred = Pred{},
           Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});
 
template <ForwardIterator I, Sentinel<I> S, class T,
    class Pred = equal_to<>, class Proj = identity>
  requires IndirectlyComparable<I, const T*, Pred, Proj>
  I
    search_n(I first, S last, difference_type_t<I> count,
             const T& value, Pred pred = Pred{},
             Proj proj = Proj{});
 
template <ForwardRange Rng, class T, class Pred = equal_to<>,
    class Proj = identity>
  requires IndirectlyComparable<iterator_t<Rng>, const T*, Pred, Proj>
  safe_iterator_t<Rng>
    search_n(Rng&& rng, difference_type_t<iterator_t<Rng>> count,
             const T& value, Pred pred = Pred{}, Proj proj = Proj{});
 
template <InputIterator I, Sentinel<I> S, WeaklyIncrementable O>
  requires IndirectlyCopyable<I, O>
  tagged_pair<tag::in(I), tag::out(O)>
    copy(I first, S last, O result);
 
template <InputRange Rng, WeaklyIncrementable O>
  requires IndirectlyCopyable<iterator_t<Rng>, O>
  tagged_pair<tag::in(safe_iterator_t<Rng>), tag::out(O)>
    copy(Rng&& rng, O result);
 
template <InputIterator I, WeaklyIncrementable O>
  requires IndirectlyCopyable<I, O>
  tagged_pair<tag::in(I), tag::out(O)>
    copy_n(I first, difference_type_t<I> n, O result);
 
template <InputIterator I, Sentinel<I> S, WeaklyIncrementable O, class Proj = identity,
    IndirectUnaryPredicate<projected<I, Proj>> Pred>
  requires IndirectlyCopyable<I, O>
  tagged_pair<tag::in(I), tag::out(O)>
    copy_if(I first, S last, O result, Pred pred, Proj proj = Proj{});
 
template <InputRange Rng, WeaklyIncrementable O, class Proj = identity,
    IndirectUnaryPredicate<projected<iterator_t<Rng>, Proj>> Pred>
  requires IndirectlyCopyable<iterator_t<Rng>, O>
  tagged_pair<tag::in(safe_iterator_t<Rng>), tag::out(O)>
    copy_if(Rng&& rng, O result, Pred pred, Proj proj = Proj{});
 
template <BidirectionalIterator I1, Sentinel<I1> S1, BidirectionalIterator I2>
  requires IndirectlyCopyable<I1, I2>
  tagged_pair<tag::in(I1), tag::out(I2)>
    copy_backward(I1 first, S1 last, I2 result);
 
template <BidirectionalRange Rng, BidirectionalIterator I>
  requires IndirectlyCopyable<iterator_t<Rng>, I>
  tagged_pair<tag::in(safe_iterator_t<Rng>), tag::out(I)>
    copy_backward(Rng&& rng, I result);
 
template <InputIterator I, Sentinel<I> S, WeaklyIncrementable O>
  requires IndirectlyMovable<I, O>
  tagged_pair<tag::in(I), tag::out(O)>
    move(I first, S last, O result);
 
template <InputRange Rng, WeaklyIncrementable O>
  requires IndirectlyMovable<iterator_t<Rng>, O>
  tagged_pair<tag::in(safe_iterator_t<Rng>), tag::out(O)>
    move(Rng&& rng, O result);
 
template <BidirectionalIterator I1, Sentinel<I1> S1, BidirectionalIterator I2>
  requires IndirectlyMovable<I1, I2>
  tagged_pair<tag::in(I1), tag::out(I2)>
    move_backward(I1 first, S1 last, I2 result);
 
template <BidirectionalRange Rng, BidirectionalIterator I>
  requires IndirectlyMovable<iterator_t<Rng>, I>
  tagged_pair<tag::in(safe_iterator_t<Rng>), tag::out(I)>
    move_backward(Rng&& rng, I result);
 
template <ForwardIterator I1, Sentinel<I1> S1, ForwardIterator I2, Sentinel<I2> S2>
  requires IndirectlySwappable<I1, I2>
  tagged_pair<tag::in1(I1), tag::in2(I2)>
    swap_ranges(I1 first1, S1 last1, I2 first2, S2 last2);
 
template <ForwardRange Rng1, ForwardRange Rng2>
  requires IndirectlySwappable<iterator_t<Rng1>, iterator_t<Rng2>>
  tagged_pair<tag::in1(safe_iterator_t<Rng1>), tag::in2(safe_iterator_t<Rng2>)>
    swap_ranges(Rng1&& rng1, Rng2&& rng2);
 
template <InputIterator I, Sentinel<I> S, WeaklyIncrementable O,
    CopyConstructible F, class Proj = identity>
  requires Writable<O, indirect_result_of_t<F&(projected<I, Proj>)>>
  tagged_pair<tag::in(I), tag::out(O)>
    transform(I first, S last, O result, F op, Proj proj = Proj{});
 
template <InputRange Rng, WeaklyIncrementable O, CopyConstructible F,
    class Proj = identity>
  requires Writable<O, indirect_result_of_t<F&(
    projected<iterator_t<R>, Proj>)>>
  tagged_pair<tag::in(safe_iterator_t<Rng>), tag::out(O)>
    transform(Rng&& rng, O result, F op, Proj proj = Proj{});
 
template <InputIterator I1, Sentinel<I1> S1, InputIterator I2, Sentinel<I2> S2,
    WeaklyIncrementable O, CopyConstructible F, class Proj1 = identity,
    class Proj2 = identity>
  requires Writable<O, indirect_result_of_t<F&(projected<I1, Proj1>,
    projected<I2, Proj2>)>>
  tagged_tuple<tag::in1(I1), tag::in2(I2), tag::out(O)>
    transform(I1 first1, S1 last1, I2 first2, S2 last2, O result,
              F binary_op, Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});
 
template <InputRange Rng1, InputRange Rng2, WeaklyIncrementable O,
    CopyConstructible F, class Proj1 = identity, class Proj2 = identity>
  requires Writable<O, indirect_result_of_t<F&(
    projected<iterator_t<Rng1>, Proj1>, projected<iterator_t<Rng2>, Proj2>)>>
  tagged_tuple<tag::in1(safe_iterator_t<Rng1>),
               tag::in2(safe_iterator_t<Rng2>),
               tag::out(O)>
    transform(Rng1&& rng1, Rng2&& rng2, O result,
              F binary_op, Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});
 
template <InputIterator I, Sentinel<I> S, class T1, class T2, class Proj = identity>
  requires Writable<I, const T2&> &&
    IndirectRelation<equal_to<>, projected<I, Proj>, const T1*>
  I
    replace(I first, S last, const T1& old_value, const T2& new_value, Proj proj = Proj{});
 
template <InputRange Rng, class T1, class T2, class Proj = identity>
  requires Writable<iterator_t<Rng>, const T2&> &&
    IndirectRelation<equal_to<>, projected<iterator_t<Rng>, Proj>, const T1*>
  safe_iterator_t<Rng>
    replace(Rng&& rng, const T1& old_value, const T2& new_value, Proj proj = Proj{});
 
template <InputIterator I, Sentinel<I> S, class T, class Proj = identity,
    IndirectUnaryPredicate<projected<I, Proj>> Pred>
  requires Writable<I, const T&>
  I
    replace_if(I first, S last, Pred pred, const T& new_value, Proj proj = Proj{});
 
template <InputRange Rng, class T, class Proj = identity,
    IndirectUnaryPredicate<projected<iterator_t<Rng>, Proj>> Pred>
  requires Writable<iterator_t<Rng>, const T&>
  safe_iterator_t<Rng>
    replace_if(Rng&& rng, Pred pred, const T& new_value, Proj proj = Proj{});
 
template <InputIterator I, Sentinel<I> S, class T1, class T2, OutputIterator<const T2&> O,
    class Proj = identity>
  requires IndirectlyCopyable<I, O> &&
    IndirectRelation<equal_to<>, projected<I, Proj>, const T1*>
  tagged_pair<tag::in(I), tag::out(O)>
    replace_copy(I first, S last, O result, const T1& old_value, const T2& new_value,
                 Proj proj = Proj{});
 
template <InputRange Rng, class T1, class T2, OutputIterator<const T2&> O,
    class Proj = identity>
  requires IndirectlyCopyable<iterator_t<Rng>, O> &&
    IndirectRelation<equal_to<>, projected<iterator_t<Rng>, Proj>, const T1*>
  tagged_pair<tag::in(safe_iterator_t<Rng>), tag::out(O)>
    replace_copy(Rng&& rng, O result, const T1& old_value, const T2& new_value,
                 Proj proj = Proj{});
 
template <InputIterator I, Sentinel<I> S, class T, OutputIterator<const T&> O,
    class Proj = identity, IndirectUnaryPredicate<projected<I, Proj>> Pred>
  requires IndirectlyCopyable<I, O>
  tagged_pair<tag::in(I), tag::out(O)>
    replace_copy_if(I first, S last, O result, Pred pred, const T& new_value,
                    Proj proj = Proj{});
 
template <InputRange Rng, class T, OutputIterator<const T&> O, class Proj = identity,
    IndirectUnaryPredicate<projected<iterator_t<Rng>, Proj>> Pred>
  requires IndirectlyCopyable<iterator_t<Rng>, O>
  tagged_pair<tag::in(safe_iterator_t<Rng>), tag::out(O)>
    replace_copy_if(Rng&& rng, O result, Pred pred, const T& new_value,
                    Proj proj = Proj{});
 
template <class T, OutputIterator<const T&> O, Sentinel<O> S>
  O fill(O first, S last, const T& value);
 
template <class T, OutputRange<const T&> Rng>
  safe_iterator_t<Rng>
    fill(Rng&& rng, const T& value);
 
template <class T, OutputIterator<const T&> O>
  O fill_n(O first, difference_type_t<O> n, const T& value);
 
template <Iterator O, Sentinel<O> S, CopyConstructible F>
  requires Invocable<F&> && Writable<O, result_of_t<F&()>>
  O generate(O first, S last, F gen);
 
template <class Rng, CopyConstructible F>
  requires Invocable<F&> && OutputRange<Rng, result_of_t<F&()>>
  safe_iterator_t<Rng>
    generate(Rng&& rng, F gen);
 
template <Iterator O, CopyConstructible F>
  requires Invocable<F&> && Writable<O, result_of_t<F&()>>
  O generate_n(O first, difference_type_t<O> n, F gen);
 
template <ForwardIterator I, Sentinel<I> S, class T, class Proj = identity>
  requires Permutable<I> &&
    IndirectRelation<equal_to<>, projected<I, Proj>, const T*>
  I remove(I first, S last, const T& value, Proj proj = Proj{});
 
template <ForwardRange Rng, class T, class Proj = identity>
  requires Permutable<iterator_t<Rng>> &&
    IndirectRelation<equal_to<>, projected<iterator_t<Rng>, Proj>, const T*>
  safe_iterator_t<Rng>
    remove(Rng&& rng, const T& value, Proj proj = Proj{});
 
template <ForwardIterator I, Sentinel<I> S, class Proj = identity,
    IndirectUnaryPredicate<projected<I, Proj>> Pred>
  requires Permutable<I>
    I remove_if(I first, S last, Pred pred, Proj proj = Proj{});
 
template <ForwardRange Rng, class Proj = identity,
    IndirectUnaryPredicate<projected<iterator_t<Rng>, Proj>> Pred>
  requires Permutable<iterator_t<Rng>>
  safe_iterator_t<Rng>
    remove_if(Rng&& rng, Pred pred, Proj proj = Proj{});
 
template <InputIterator I, Sentinel<I> S, WeaklyIncrementable O, class T,
    class Proj = identity>
  requires IndirectlyCopyable<I, O> &&
    IndirectRelation<equal_to<>, projected<I, Proj>, const T*>
  tagged_pair<tag::in(I), tag::out(O)>
    remove_copy(I first, S last, O result, const T& value, Proj proj = Proj{});
 
template <InputRange Rng, WeaklyIncrementable O, class T, class Proj = identity>
  requires IndirectlyCopyable<iterator_t<Rng>, O> &&
    IndirectRelation<equal_to<>, projected<iterator_t<Rng>, Proj>, const T*>
  tagged_pair<tag::in(safe_iterator_t<Rng>), tag::out(O)>
    remove_copy(Rng&& rng, O result, const T& value, Proj proj = Proj{});
 
template <InputIterator I, Sentinel<I> S, WeaklyIncrementable O,
    class Proj = identity, IndirectUnaryPredicate<projected<I, Proj>> Pred>
  requires IndirectlyCopyable<I, O>
  tagged_pair<tag::in(I), tag::out(O)>
    remove_copy_if(I first, S last, O result, Pred pred, Proj proj = Proj{});
 
template <InputRange Rng, WeaklyIncrementable O, class Proj = identity,
    IndirectUnaryPredicate<projected<iterator_t<Rng>, Proj>> Pred>
  requires IndirectlyCopyable<iterator_t<Rng>, O>
  tagged_pair<tag::in(safe_iterator_t<Rng>), tag::out(O)>
    remove_copy_if(Rng&& rng, O result, Pred pred, Proj proj = Proj{});
 
template <ForwardIterator I, Sentinel<I> S, class Proj = identity,
    IndirectRelation<projected<I, Proj>> R = equal_to<>>
  requires Permutable<I>
  I unique(I first, S last, R comp = R{}, Proj proj = Proj{});
 
template <ForwardRange Rng, class Proj = identity,
    IndirectRelation<projected<iterator_t<Rng>, Proj>> R = equal_to<>>
  requires Permutable<iterator_t<Rng>>
  safe_iterator_t<Rng>
    unique(Rng&& rng, R comp = R{}, Proj proj = Proj{});
 
template <InputIterator I, Sentinel<I> S, WeaklyIncrementable O,
    class Proj = identity, IndirectRelation<projected<I, Proj>> R = equal_to<>>
  requires IndirectlyCopyable<I, O> &&
    (ForwardIterator<I> ||
    (InputIterator<O> && Same<value_type_t<I>, value_type_t<O>>) ||
    IndirectlyCopyableStorable<I, O>)
  tagged_pair<tag::in(I), tag::out(O)>
    unique_copy(I first, S last, O result, R comp = R{}, Proj proj = Proj{});
 
template <InputRange Rng, WeaklyIncrementable O, class Proj = identity,
    IndirectRelation<projected<iterator_t<Rng>, Proj>> R = equal_to<>>
  requires IndirectlyCopyable<iterator_t<Rng>, O> &&
    (ForwardIterator<iterator_t<Rng>> ||
    (InputIterator<O> && Same<value_type_t<iterator_t<Rng>>, value_type_t<O>>) ||
    IndirectlyCopyableStorable<iterator_t<Rng>, O>)
  tagged_pair<tag::in(safe_iterator_t<Rng>), tag::out(O)>
    unique_copy(Rng&& rng, O result, R comp = R{}, Proj proj = Proj{});
 
template <BidirectionalIterator I, Sentinel<I> S>
  requires Permutable<I>
  I reverse(I first, S last);
 
template <BidirectionalRange Rng>
  requires Permutable<iterator_t<Rng>>
  safe_iterator_t<Rng>
    reverse(Rng&& rng);
 
template <BidirectionalIterator I, Sentinel<I> S, WeaklyIncrementable O>
  requires IndirectlyCopyable<I, O>
  tagged_pair<tag::in(I), tag::out(O)> reverse_copy(I first, S last, O result);
 
template <BidirectionalRange Rng, WeaklyIncrementable O>
  requires IndirectlyCopyable<iterator_t<Rng>, O>
  tagged_pair<tag::in(safe_iterator_t<Rng>), tag::out(O)>
    reverse_copy(Rng&& rng, O result);
 
template <ForwardIterator I, Sentinel<I> S>
  requires Permutable<I>
  tagged_pair<tag::begin(I), tag::end(I)>
    rotate(I first, I middle, S last);
 
template <ForwardRange Rng>
  requires Permutable<iterator_t<Rng>>
  tagged_pair<tag::begin(safe_iterator_t<Rng>),
              tag::end(safe_iterator_t<Rng>)>
    rotate(Rng&& rng, iterator_t<Rng> middle);
 
template <ForwardIterator I, Sentinel<I> S, WeaklyIncrementable O>
  requires IndirectlyCopyable<I, O>
  tagged_pair<tag::in(I), tag::out(O)>
    rotate_copy(I first, I middle, S last, O result);
 
template <ForwardRange Rng, WeaklyIncrementable O>
  requires IndirectlyCopyable<iterator_t<Rng>, O>
  tagged_pair<tag::in(safe_iterator_t<Rng>), tag::out(O)>
    rotate_copy(Rng&& rng, iterator_t<Rng> middle, O result);
 
template <RandomAccessIterator I, Sentinel<I> S, class Gen>
  requires Permutable<I> &&
    UniformRandomNumberGenerator<remove_reference_t<Gen>> &&
    ConvertibleTo<result_of_t<Gen&()>, difference_type_t<I>>
  I shuffle(I first, S last, Gen&& g);
 
template <RandomAccessRange Rng, class Gen>
  requires Permutable<I> &&
    UniformRandomNumberGenerator<remove_reference_t<Gen>> &&
    ConvertibleTo<result_of_t<Gen&()>, difference_type_t<I>>
  safe_iterator_t<Rng>
    shuffle(Rng&& rng, Gen&& g);
 
template <InputIterator I, Sentinel<I> S, class Proj = identity,
    IndirectUnaryPredicate<projected<I, Proj>> Pred>
  bool is_partitioned(I first, S last, Pred pred, Proj proj = Proj{});
 
template <InputRange Rng, class Proj = identity,
    IndirectUnaryPredicate<projected<iterator_t<Rng>, Proj>> Pred>
  bool
    is_partitioned(Rng&& rng, Pred pred, Proj proj = Proj{});
 
template <ForwardIterator I, Sentinel<I> S, class Proj = identity,
    IndirectUnaryPredicate<projected<I, Proj>> Pred>
  requires Permutable<I>
    I partition(I first, S last, Pred pred, Proj proj = Proj{});
 
template <ForwardRange Rng, class Proj = identity,
    IndirectUnaryPredicate<projected<iterator_t<Rng>, Proj>> Pred>
  requires Permutable<iterator_t<Rng>>
  safe_iterator_t<Rng>
    partition(Rng&& rng, Pred pred, Proj proj = Proj{});
 
template <BidirectionalIterator I, Sentinel<I> S, class Proj = identity,
    IndirectUnaryPredicate<projected<I, Proj>> Pred>
  requires Permutable<I>
  I stable_partition(I first, S last, Pred pred, Proj proj = Proj{});
 
template <BidirectionalRange Rng, class Proj = identity,
    IndirectUnaryPredicate<projected<iterator_t<Rng>, Proj>> Pred>
  requires Permutable<iterator_t<Rng>>
  safe_iterator_t<Rng>
    stable_partition(Rng&& rng, Pred pred, Proj proj = Proj{});
 
template <InputIterator I, Sentinel<I> S, WeaklyIncrementable O1, WeaklyIncrementable O2,
    class Proj = identity, IndirectUnaryPredicate<projected<I, Proj>> Pred>
  requires IndirectlyCopyable<I, O1> && IndirectlyCopyable<I, O2>
  tagged_tuple<tag::in(I), tag::out1(O1), tag::out2(O2)>
    partition_copy(I first, S last, O1 out_true, O2 out_false, Pred pred,
                   Proj proj = Proj{});
 
template <InputRange Rng, WeaklyIncrementable O1, WeaklyIncrementable O2,
    class Proj = identity,
    IndirectUnaryPredicate<projected<iterator_t<Rng>, Proj>> Pred>
  requires IndirectlyCopyable<iterator_t<Rng>, O1> &&
    IndirectlyCopyable<iterator_t<Rng>, O2>
  tagged_tuple<tag::in(safe_iterator_t<Rng>), tag::out1(O1), tag::out2(O2)>
    partition_copy(Rng&& rng, O1 out_true, O2 out_false, Pred pred, Proj proj = Proj{});
 
template <ForwardIterator I, Sentinel<I> S, class Proj = identity,
    IndirectUnaryPredicate<projected<I, Proj>> Pred>
  I partition_point(I first, S last, Pred pred, Proj proj = Proj{});
 
template <ForwardRange Rng, class Proj = identity,
    IndirectUnaryPredicate<projected<iterator_t<Rng>, Proj>> Pred>
  safe_iterator_t<Rng>
    partition_point(Rng&& rng, Pred pred, Proj proj = Proj{});
 
template <RandomAccessIterator I, Sentinel<I> S, class Comp = less<>,
    class Proj = identity>
  requires Sortable<I, Comp, Proj>
    I sort(I first, S last, Comp comp = Comp{}, Proj proj = Proj{});
 
template <RandomAccessRange Rng, class Comp = less<>, class Proj = identity>
  requires Sortable<iterator_t<Rng>, Comp, Proj>
  safe_iterator_t<Rng>
    sort(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});
 
template <RandomAccessIterator I, Sentinel<I> S, class Comp = less<>,
    class Proj = identity>
  requires Sortable<I, Comp, Proj>
    I stable_sort(I first, S last, Comp comp = Comp{}, Proj proj = Proj{});
 
template <RandomAccessRange Rng, class Comp = less<>, class Proj = identity>
  requires Sortable<iterator_t<Rng>, Comp, Proj>
  safe_iterator_t<Rng>
    stable_sort(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});
 
template <RandomAccessIterator I, Sentinel<I> S, class Comp = less<>,
    class Proj = identity>
  requires Sortable<I, Comp, Proj>
    I partial_sort(I first, I middle, S last, Comp comp = Comp{}, Proj proj = Proj{});
 
template <RandomAccessRange Rng, class Comp = less<>, class Proj = identity>
  requires Sortable<iterator_t<Rng>, Comp, Proj>
  safe_iterator_t<Rng>
    partial_sort(Rng&& rng, iterator_t<Rng> middle, Comp comp = Comp{},
                 Proj proj = Proj{});
 
template <InputIterator I1, Sentinel<I1> S1, RandomAccessIterator I2, Sentinel<I2> S2,
    class Comp = less<>, class Proj1 = identity, class Proj2 = identity>
  requires IndirectlyCopyable<I1, I2> && Sortable<I2, Comp, Proj2> &&
    IndirectStrictWeakOrder<Comp, projected<I1, Proj1>, projected<I2, Proj2>>
  I2
    partial_sort_copy(I1 first, S1 last, I2 result_first, S2 result_last,
                      Comp comp = Comp{}, Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});
 
template <InputRange Rng1, RandomAccessRange Rng2, class Comp = less<>,
    class Proj1 = identity, class Proj2 = identity>
  requires IndirectlyCopyable<iterator_t<Rng1>, iterator_t<Rng2>> &&
    Sortable<iterator_t<Rng2>, Comp, Proj2> &&
    IndirectStrictWeakOrder<Comp, projected<iterator_t<Rng1>, Proj1>,
      projected<iterator_t<Rng2>, Proj2>>
  safe_iterator_t<Rng2>
    partial_sort_copy(Rng1&& rng, Rng2&& result_rng, Comp comp = Comp{},
                      Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});
 
template <ForwardIterator I, Sentinel<I> S, class Proj = identity,
    IndirectStrictWeakOrder<projected<I, Proj>> Comp = less<>>
  bool is_sorted(I first, S last, Comp comp = Comp{}, Proj proj = Proj{});
 
template <ForwardRange Rng, class Proj = identity,
    IndirectStrictWeakOrder<projected<iterator_t<Rng>, Proj>> Comp = less<>>
  bool
    is_sorted(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});
 
template <ForwardIterator I, Sentinel<I> S, class Proj = identity,
    IndirectStrictWeakOrder<projected<I, Proj>> Comp = less<>>
  I is_sorted_until(I first, S last, Comp comp = Comp{}, Proj proj = Proj{});
 
template <ForwardRange Rng, class Proj = identity,
    IndirectStrictWeakOrder<projected<iterator_t<Rng>, Proj>> Comp = less<>>
  safe_iterator_t<Rng>
    is_sorted_until(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});
 
template <RandomAccessIterator I, Sentinel<I> S, class Comp = less<>,
    class Proj = identity>
  requires Sortable<I, Comp, Proj>
    I nth_element(I first, I nth, S last, Comp comp = Comp{}, Proj proj = Proj{});
 
template <RandomAccessRange Rng, class Comp = less<>, class Proj = identity>
  requires Sortable<iterator_t<Rng>, Comp, Proj>
  safe_iterator_t<Rng>
    nth_element(Rng&& rng, iterator_t<Rng> nth, Comp comp = Comp{}, Proj proj = Proj{});
 
template <ForwardIterator I, Sentinel<I> S, class T, class Proj = identity,
    IndirectStrictWeakOrder<const T*, projected<I, Proj>> Comp = less<>>
  I
    lower_bound(I first, S last, const T& value, Comp comp = Comp{},
                Proj proj = Proj{});
 
template <ForwardRange Rng, class T, class Proj = identity,
    IndirectStrictWeakOrder<const T*, projected<iterator_t<Rng>, Proj>> Comp = less<>>
  safe_iterator_t<Rng>
    lower_bound(Rng&& rng, const T& value, Comp comp = Comp{}, Proj proj = Proj{});
 
template <ForwardIterator I, Sentinel<I> S, class T, class Proj = identity,
    IndirectStrictWeakOrder<const T*, projected<I, Proj>> Comp = less<>>
  I
    upper_bound(I first, S last, const T& value, Comp comp = Comp{}, Proj proj = Proj{});
 
template <ForwardRange Rng, class T, class Proj = identity,
    IndirectStrictWeakOrder<const T*, projected<iterator_t<Rng>, Proj>> Comp = less<>>
  safe_iterator_t<Rng>
    upper_bound(Rng&& rng, const T& value, Comp comp = Comp{}, Proj proj = Proj{});
 
template <ForwardIterator I, Sentinel<I> S, class T, class Proj = identity,
    IndirectStrictWeakOrder<const T*, projected<I, Proj>> Comp = less<>>
  tagged_pair<tag::begin(I), tag::end(I)>
    equal_range(I first, S last, const T& value, Comp comp = Comp{}, Proj proj = Proj{});
 
template <ForwardRange Rng, class T, class Proj = identity,
    IndirectStrictWeakOrder<const T*, projected<iterator_t<Rng>, Proj>> Comp = less<>>
  tagged_pair<tag::begin(safe_iterator_t<Rng>),
              tag::end(safe_iterator_t<Rng>)>
    equal_range(Rng&& rng, const T& value, Comp comp = Comp{}, Proj proj = Proj{});
 
template <ForwardIterator I, Sentinel<I> S, class T, class Proj = identity,
    IndirectStrictWeakOrder<const T*, projected<I, Proj>> Comp = less<>>
  bool
    binary_search(I first, S last, const T& value, Comp comp = Comp{},
                  Proj proj = Proj{});
 
template <ForwardRange Rng, class T, class Proj = identity,
    IndirectStrictWeakOrder<const T*, projected<iterator_t<Rng>, Proj>> Comp = less<>>
  bool
    binary_search(Rng&& rng, const T& value, Comp comp = Comp{},
                  Proj proj = Proj{});
 
template <InputIterator I1, Sentinel<I1> S1, InputIterator I2, Sentinel<I2> S2,
    WeaklyIncrementable O, class Comp = less<>, class Proj1 = identity,
    class Proj2 = identity>
  requires Mergeable<I1, I2, O, Comp, Proj1, Proj2>
  tagged_tuple<tag::in1(I1), tag::in2(I2), tag::out(O)>
    merge(I1 first1, S1 last1, I2 first2, S2 last2, O result,
          Comp comp = Comp{}, Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});
 
template <InputRange Rng1, InputRange Rng2, WeaklyIncrementable O, class Comp = less<>,
    class Proj1 = identity, class Proj2 = identity>
  requires Mergeable<iterator_t<Rng1>, iterator_t<Rng2>, O, Comp, Proj1, Proj2>
  tagged_tuple<tag::in1(safe_iterator_t<Rng1>),
               tag::in2(safe_iterator_t<Rng2>),
               tag::out(O)>
    merge(Rng1&& rng1, Rng2&& rng2, O result,
          Comp comp = Comp{}, Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});
 
template <BidirectionalIterator I, Sentinel<I> S, class Comp = less<>,
    class Proj = identity>
  requires Sortable<I, Comp, Proj>
  I
    inplace_merge(I first, I middle, S last, Comp comp = Comp{}, Proj proj = Proj{});
 
template <BidirectionalRange Rng, class Comp = less<>, class Proj = identity>
  requires Sortable<iterator_t<Rng>, Comp, Proj>
  safe_iterator_t<Rng>
    inplace_merge(Rng&& rng, iterator_t<Rng> middle, Comp comp = Comp{},
                  Proj proj = Proj{});
 
template <InputIterator I1, Sentinel<I1> S1, InputIterator I2, Sentinel<I2> S2,
    class Proj1 = identity, class Proj2 = identity,
    IndirectStrictWeakOrder<projected<I1, Proj1>, projected<I2, Proj2>> Comp = less<>>
  bool
    includes(I1 first1, S1 last1, I2 first2, S2 last2, Comp comp = Comp{},
             Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});
 
template <InputRange Rng1, InputRange Rng2, class Proj1 = identity,
    class Proj2 = identity,
    IndirectStrictWeakOrder<projected<iterator_t<Rng1>, Proj1>,
      projected<iterator_t<Rng2>, Proj2>> Comp = less<>>
  bool
    includes(Rng1&& rng1, Rng2&& rng2, Comp comp = Comp{},
             Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});
 
template <InputIterator I1, Sentinel<I1> S1, InputIterator I2, Sentinel<I2> S2,
    WeaklyIncrementable O, class Comp = less<>,
    class Proj1 = identity, class Proj2 = identity>
  requires Mergeable<I1, I2, O, Comp, Proj1, Proj2>
  tagged_tuple<tag::in1(I1), tag::in2(I2), tag::out(O)>
    set_union(I1 first1, S1 last1, I2 first2, S2 last2, O result, Comp comp = Comp{},
              Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});
 
template <InputRange Rng1, InputRange Rng2, WeaklyIncrementable O,
    class Comp = less<>, class Proj1 = identity, class Proj2 = identity>
  requires Mergeable<iterator_t<Rng1>, iterator_t<Rng2>, O, Comp, Proj1, Proj2>
  tagged_tuple<tag::in1(safe_iterator_t<Rng1>),
               tag::in2(safe_iterator_t<Rng2>),
               tag::out(O)>
    set_union(Rng1&& rng1, Rng2&& rng2, O result, Comp comp = Comp{},
              Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});
 
template <InputIterator I1, Sentinel<I1> S1, InputIterator I2, Sentinel<I2> S2,
    WeaklyIncrementable O, class Comp = less<>,
    class Proj1 = identity, class Proj2 = identity>
  requires Mergeable<I1, I2, O, Comp, Proj1, Proj2>
  O
    set_intersection(I1 first1, S1 last1, I2 first2, S2 last2, O result,
                     Comp comp = Comp{}, Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});
 
template <InputRange Rng1, InputRange Rng2, WeaklyIncrementable O,
    class Comp = less<>, class Proj1 = identity, class Proj2 = identity>
  requires Mergeable<iterator_t<Rng1>, iterator_t<Rng2>, O, Comp, Proj1, Proj2>
  O
    set_intersection(Rng1&& rng1, Rng2&& rng2, O result,
                     Comp comp = Comp{}, Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});
 
template <InputIterator I1, Sentinel<I1> S1, InputIterator I2, Sentinel<I2> S2,
    WeaklyIncrementable O, class Comp = less<>,
    class Proj1 = identity, class Proj2 = identity>
  requires Mergeable<I1, I2, O, Comp, Proj1, Proj2>
  tagged_pair<tag::in1(I1), tag::out(O)>
    set_difference(I1 first1, S1 last1, I2 first2, S2 last2, O result,
                   Comp comp = Comp{}, Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});
 
template <InputRange Rng1, InputRange Rng2, WeaklyIncrementable O,
    class Comp = less<>, class Proj1 = identity, class Proj2 = identity>
  requires Mergeable<iterator_t<Rng1>, iterator_t<Rng2>, O, Comp, Proj1, Proj2>
  tagged_pair<tag::in1(safe_iterator_t<Rng1>), tag::out(O)>
    set_difference(Rng1&& rng1, Rng2&& rng2, O result,
                   Comp comp = Comp{}, Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});
 
template <InputIterator I1, Sentinel<I1> S1, InputIterator I2, Sentinel<I2> S2,
    WeaklyIncrementable O, class Comp = less<>,
    class Proj1 = identity, class Proj2 = identity>
  requires Mergeable<I1, I2, O, Comp, Proj1, Proj2>
  tagged_tuple<tag::in1(I1), tag::in2(I2), tag::out(O)>
    set_symmetric_difference(I1 first1, S1 last1, I2 first2, S2 last2, O result,
                             Comp comp = Comp{}, Proj1 proj1 = Proj1{},
                             Proj2 proj2 = Proj2{});
 
template <InputRange Rng1, InputRange Rng2, WeaklyIncrementable O,
    class Comp = less<>, class Proj1 = identity, class Proj2 = identity>
  requires Mergeable<iterator_t<Rng1>, iterator_t<Rng2>, O, Comp, Proj1, Proj2>
  tagged_tuple<tag::in1(safe_iterator_t<Rng1>),
               tag::in2(safe_iterator_t<Rng2>),
               tag::out(O)>
    set_symmetric_difference(Rng1&& rng1, Rng2&& rng2, O result, Comp comp = Comp{},
                             Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});
 
template <RandomAccessIterator I, Sentinel<I> S, class Comp = less<>,
    class Proj = identity>
  requires Sortable<I, Comp, Proj>
  I push_heap(I first, S last, Comp comp = Comp{}, Proj proj == Proj{});
 
template <RandomAccessRange Rng, class Comp = less<>, class Proj = identity>
  requires Sortable<iterator_t<Rng>, Comp, Proj>
  safe_iterator_t<Rng>
    push_heap(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});
 
template <RandomAccessIterator I, Sentinel<I> S, class Comp = less<>,
    class Proj = identity>
  requires Sortable<I, Comp, Proj>
  I pop_heap(I first, S last, Comp comp = Comp{}, Proj proj = Proj{});
 
template <RandomAccessRange Rng, class Comp = less<>, class Proj = identity>
  requires Sortable<iterator_t<Rng>, Comp, Proj>
  safe_iterator_t<Rng>
    pop_heap(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});
 
template <RandomAccessIterator I, Sentinel<I> S, class Comp = less<>,
    class Proj = identity>
  requires Sortable<I, Comp, Proj>
  I make_heap(I first, S last, Comp comp = Comp{}, Proj proj = Proj{});
 
template <RandomAccessRange Rng, class Comp = less<>, class Proj = identity>
  requires Sortable<iterator_t<Rng>, Comp, Proj>
  safe_iterator_t<Rng>
    make_heap(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});
 
template <RandomAccessIterator I, Sentinel<I> S, class Comp = less<>,
    class Proj = identity>
  requires Sortable<I, Comp, Proj>
  I sort_heap(I first, S last, Comp comp = Comp{}, Proj proj = Proj{});
 
template <RandomAccessRange Rng, class Comp = less<>, class Proj = identity>
  requires Sortable<iterator_t<Rng>, Comp, Proj>
  safe_iterator_t<Rng>
    sort_heap(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});
 
template <RandomAccessIterator I, Sentinel<I> S, class Proj = identity,
    IndirectStrictWeakOrder<projected<I, Proj>> Comp = less<>>
  bool is_heap(I first, S last, Comp comp = Comp{}, Proj proj = Proj{});
 
template <RandomAccessRange Rng, class Proj = identity,
    IndirectStrictWeakOrder<projected<iterator_t<Rng>, Proj>> Comp = less<>>
  bool
    is_heap(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});
 
template <RandomAccessIterator I, Sentinel<I> S, class Proj = identity,
    IndirectStrictWeakOrder<projected<I, Proj>> Comp = less<>>
  I is_heap_until(I first, S last, Comp comp = Comp{}, Proj proj = Proj{});
 
template <RandomAccessRange Rng, class Proj = identity,
    IndirectStrictWeakOrder<projected<iterator_t<Rng>, Proj>> Comp = less<>>
  safe_iterator_t<Rng>
    is_heap_until(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});
 
template <class T, class Proj = identity,
    IndirectStrictWeakOrder<projected<const T*, Proj>> Comp = less<>>
  constexpr const T& min(const T& a, const T& b, Comp comp = Comp{}, Proj proj = Proj{});
 
template <Copyable T, class Proj = identity,
    IndirectStrictWeakOrder<projected<const T*, Proj>> Comp = less<>>
  constexpr T min(initializer_list<T> t, Comp comp = Comp{}, Proj proj = Proj{});
 
template <InputRange Rng, class Proj = identity,
    IndirectStrictWeakOrder<projected<iterator_t<Rng>, Proj>> Comp = less<>>
  requires Copyable<value_type_t<iterator_t<Rng>>>
  value_type_t<iterator_t<Rng>>
    min(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});
 
template <class T, class Proj = identity,
    IndirectStrictWeakOrder<projected<const T*, Proj>> Comp = less<>>
  constexpr const T& max(const T& a, const T& b, Comp comp = Comp{}, Proj proj = Proj{});
 
template <Copyable T, class Proj = identity,
    IndirectStrictWeakOrder<projected<const T*, Proj>> Comp = less<>>
  constexpr T max(initializer_list<T> t, Comp comp = Comp{}, Proj proj = Proj{});
 
template <InputRange Rng, class Proj = identity,
    IndirectStrictWeakOrder<projected<iterator_t<Rng>, Proj>> Comp = less<>>
  requires Copyable<value_type_t<iterator_t<Rng>>>
  value_type_t<iterator_t<Rng>>
    max(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});
 
template <class T, class Proj = identity,
    IndirectStrictWeakOrder<projected<const T*, Proj>> Comp = less<>>
  constexpr tagged_pair<tag::min(const T&), tag::max(const T&)>
    minmax(const T& a, const T& b, Comp comp = Comp{}, Proj proj = Proj{});
 
template <Copyable T, class Proj = identity,
    IndirectStrictWeakOrder<projected<const T*, Proj>> Comp = less<>>
  constexpr tagged_pair<tag::min(T), tag::max(T)>
    minmax(initializer_list<T> t, Comp comp = Comp{}, Proj proj = Proj{});
 
template <InputRange Rng, class Proj = identity,
    IndirectStrictWeakOrder<projected<iterator_t<Rng>, Proj>> Comp = less<>>
  requires Copyable<value_type_t<iterator_t<Rng>>>
  tagged_pair<tag::min(value_type_t<iterator_t<Rng>>),
              tag::max(value_type_t<iterator_t<Rng>>)>
    minmax(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});
 
template <ForwardIterator I, Sentinel<I> S, class Proj = identity,
    IndirectStrictWeakOrder<projected<I, Proj>> Comp = less<>>
  I min_element(I first, S last, Comp comp = Comp{}, Proj proj = Proj{});
 
template <ForwardRange Rng, class Proj = identity,
    IndirectStrictWeakOrder<projected<iterator_t<Rng>, Proj>> Comp = less<>>
  safe_iterator_t<Rng>
    min_element(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});
 
template <ForwardIterator I, Sentinel<I> S, class Proj = identity,
    IndirectStrictWeakOrder<projected<I, Proj>> Comp = less<>>
  I max_element(I first, S last, Comp comp = Comp{}, Proj proj = Proj{});
 
template <ForwardRange Rng, class Proj = identity,
    IndirectStrictWeakOrder<projected<iterator_t<Rng>, Proj>> Comp = less<>>
  safe_iterator_t<Rng>
    max_element(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});
 
template <ForwardIterator I, Sentinel<I> S, class Proj = identity,
    IndirectStrictWeakOrder<projected<I, Proj>> Comp = less<>>
  tagged_pair<tag::min(I), tag::max(I)>
    minmax_element(I first, S last, Comp comp = Comp{}, Proj proj = Proj{});
 
template <ForwardRange Rng, class Proj = identity,
    IndirectStrictWeakOrder<projected<iterator_t<Rng>, Proj>> Comp = less<>>
  tagged_pair<tag::min(safe_iterator_t<Rng>),
              tag::max(safe_iterator_t<Rng>)>
    minmax_element(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});
 
template <InputIterator I1, Sentinel<I1> S1, InputIterator I2, Sentinel<I2> S2,
    class Proj1 = identity, class Proj2 = identity,
    IndirectStrictWeakOrder<projected<I1, Proj1>, projected<I2, Proj2>> Comp = less<>>
  bool
    lexicographical_compare(I1 first1, S1 last1, I2 first2, S2 last2,
                            Comp comp = Comp{},
                            Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});
 
template <InputRange Rng1, InputRange Rng2, class Proj1 = identity,
    class Proj2 = identity,
    IndirectStrictWeakOrder<projected<iterator_t<Rng1>, Proj1>,
      projected<iterator_t<Rng2>, Proj2>> Comp = less<>>
  bool
    lexicographical_compare(Rng1&& rng1, Rng2&& rng2, Comp comp = Comp{},
                            Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});
 
template <BidirectionalIterator I, Sentinel<I> S, class Comp = less<>,
    class Proj = identity>
  requires Sortable<I, Comp, Proj>
  bool next_permutation(I first, S last, Comp comp = Comp{}, Proj proj = Proj{});
 
template <BidirectionalRange Rng, class Comp = less<>,
    class Proj = identity>
  requires Sortable<iterator_t<Rng>, Comp, Proj>
  bool
    next_permutation(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});
 
template <BidirectionalIterator I, Sentinel<I> S, class Comp = less<>,
    class Proj = identity>
  requires Sortable<I, Comp, Proj>
  bool prev_permutation(I first, S last, Comp comp = Comp{}, Proj proj = Proj{});
 
template <BidirectionalRange Rng, class Comp = less<>,
    class Proj = identity>
  requires Sortable<iterator_t<Rng>, Comp, Proj>
  bool
    prev_permutation(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});
 
}}}}