xref: /llvm-project/libcxx/include/algorithm (revision 8a61749f767e9af773051fc4f6dc99276fe189e3)
1// -*- C++ -*-
2//===----------------------------------------------------------------------===//
3//
4// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
5// See https://llvm.org/LICENSE.txt for license information.
6// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
7//
8//===----------------------------------------------------------------------===//
9
10#ifndef _LIBCPP_ALGORITHM
11#define _LIBCPP_ALGORITHM
12
13/*
14    algorithm synopsis
15
16#include <initializer_list>
17
18namespace std
19{
20
21namespace ranges {
22
23  // [algorithms.results], algorithm result types
24  template <class I, class F>
25    struct in_fun_result;     // since C++20
26
27  template <class I1, class I2>
28    struct in_in_result;      // since C++20
29
30  template <class I, class O>
31    struct in_out_result;  // since C++20
32
33  template <class I1, class I2, class O>
34    struct in_in_out_result;  // since C++20
35
36  template <class I, class O1, class O2>
37    struct in_out_out_result; // since C++20
38
39  template <class I1, class I2>
40    struct min_max_result;    // since C++20
41
42  template <class I>
43    struct in_found_result;   // since C++20
44
45  template<forward_iterator I, sentinel_for<I> S, class Proj = identity,
46    indirect_strict_weak_order<projected<I, Proj>> Comp = ranges::less>             // since C++20
47  constexpr I min_element(I first, S last, Comp comp = {}, Proj proj = {});
48
49  template<forward_range R, class Proj = identity,
50    indirect_strict_weak_order<projected<iterator_t<R>, Proj>> Comp = ranges::less> // since C++20
51  constexpr borrowed_iterator_t<R> min_element(R&& r, Comp comp = {}, Proj proj = {});
52
53  template<forward_iterator I, sentinel_for<I> S, class Proj = identity,
54    indirect_strict_weak_order<projected<I, Proj>> Comp = ranges::less>
55  constexpr I ranges::max_element(I first, S last, Comp comp = {}, Proj proj = {});                        // since C++20
56
57  template<forward_range R, class Proj = identity,
58    indirect_strict_weak_order<projected<iterator_t<R>, Proj>> Comp = ranges::less>
59  constexpr borrowed_iterator_t<R> ranges::max_element(R&& r, Comp comp = {}, Proj proj = {});             // since C++20
60
61  template<class I1, class I2>
62    using mismatch_result = in_in_result<I1, I2>;
63
64  template <input_iterator I1, sentinel_for<_I1> S1, input_iterator I2, sentinel_for<_I2> S2,
65          class Pred = ranges::equal_to, class Proj1 = identity, class Proj2 = identity>
66    requires indirectly_comparable<I1, I2, Pred, Proj1, Proj2>
67  constexpr mismatch_result<_I1, _I2>
68  mismatch()(I1 first1, S1 last1, I2 first2, S2 last2, Pred pred = {}, Proj1 proj1 = {}, Proj2 proj2 = {}) // since C++20
69
70  template <input_range R1, input_range R2,
71          class Pred = ranges::equal_to, class Proj1 = identity, class Proj2 = identity>
72    requires indirectly_comparable<iterator_t<R1>, iterator_t<R2>, Pred, Proj1, Proj2>
73  constexpr mismatch_result<borrowed_iterator_t<R1>, borrowed_iterator_t<R2>>
74  mismatch(R1&& r1, R2&& r2, Pred pred = {}, Proj1 proj1 = {}, Proj2 proj2 = {})                           // since C++20
75
76    requires indirect_binary_predicate<ranges::equal_to, projected<I, Proj>, const T*>
77    constexpr I find(I first, S last, const T& value, Proj proj = {});              // since C++20
78
79  template<input_range R, class T, class Proj = identity>
80    requires indirect_binary_predicate<ranges::equal_to, projected<iterator_t<R>, Proj>, const T*>
81    constexpr borrowed_iterator_t<R>
82      find(R&& r, const T& value, Proj proj = {});                                  // since C++20
83
84  template<input_iterator I, sentinel_for<I> S, class Proj = identity,
85           indirect_unary_predicate<projected<I, Proj>> Pred>
86    constexpr I find_if(I first, S last, Pred pred, Proj proj = {});                // since C++20
87
88  template<input_range R, class Proj = identity,
89           indirect_unary_predicate<projected<iterator_t<R>, Proj>> Pred>
90    constexpr borrowed_iterator_t<R>
91      find_if(R&& r, Pred pred, Proj proj = {});                                    // since C++20
92
93  template<input_iterator I, sentinel_for<I> S, class Proj = identity,
94           indirect_unary_predicate<projected<I, Proj>> Pred>
95    constexpr I find_if_not(I first, S last, Pred pred, Proj proj = {});            // since C++20
96
97  template<input_range R, class Proj = identity,
98           indirect_unary_predicate<projected<iterator_t<R>, Proj>> Pred>
99    constexpr borrowed_iterator_t<R>
100      find_if_not(R&& r, Pred pred, Proj proj = {});                                // since C++20
101
102  template<class T, class Proj = identity,
103           indirect_strict_weak_order<projected<const T*, Proj>> Comp = ranges::less>
104    constexpr const T& min(const T& a, const T& b, Comp comp = {}, Proj proj = {}); // since C++20
105
106  template<copyable T, class Proj = identity,
107           indirect_strict_weak_order<projected<const T*, Proj>> Comp = ranges::less>
108    constexpr T min(initializer_list<T> r, Comp comp = {}, Proj proj = {});         // since C++20
109
110 template<input_range R, class Proj = identity,
111          indirect_strict_weak_order<projected<iterator_t<R>, Proj>> Comp = ranges::less>
112   requires indirectly_copyable_storable<iterator_t<R>, range_value_t<R>*>
113   constexpr range_value_t<R>
114     min(R&& r, Comp comp = {}, Proj proj = {});                                    // since C++20
115
116  template<class T, class Proj = identity,
117           indirect_strict_weak_order<projected<const T*, Proj>> Comp = ranges::less>
118    constexpr const T& max(const T& a, const T& b, Comp comp = {}, Proj proj = {}); // since C++20
119
120  template<copyable T, class Proj = identity,
121           indirect_strict_weak_order<projected<const T*, Proj>> Comp = ranges::less>
122    constexpr T max(initializer_list<T> r, Comp comp = {}, Proj proj = {});         // since C++20
123
124  template<input_range R, class Proj = identity,
125           indirect_strict_weak_order<projected<iterator_t<R>, Proj>> Comp = ranges::less>
126    requires indirectly_copyable_storable<iterator_t<R>, range_value_t<R>*>
127    constexpr range_value_t<R>
128      max(R&& r, Comp comp = {}, Proj proj = {});                                   // since C++20
129
130  template<class I, class O>
131    using unary_transform_result = in_out_result<I, O>;                             // since C++20
132
133  template<class I1, class I2, class O>
134    using binary_transform_result = in_in_out_result<I1, I2, O>;                    // since C++20
135
136  template<input_iterator I, sentinel_for<I> S, weakly_incrementable O,
137           copy_constructible F, class Proj = identity>
138    requires indirectly_writable<O, indirect_result_t<F&, projected<I, Proj>>>
139    constexpr ranges::unary_transform_result<I, O>
140      transform(I first1, S last1, O result, F op, Proj proj = {});                 // since C++20
141
142  template<input_range R, weakly_incrementable O, copy_constructible F,
143           class Proj = identity>
144    requires indirectly_writable<O, indirect_result_t<F&, projected<iterator_t<R>, Proj>>>
145    constexpr ranges::unary_transform_result<borrowed_iterator_t<R>, O>
146      transform(R&& r, O result, F op, Proj proj = {});                             // since C++20
147
148  template<input_iterator I1, sentinel_for<I1> S1, input_iterator I2, sentinel_for<I2> S2,
149           weakly_incrementable O, copy_constructible F, class Proj1 = identity,
150           class Proj2 = identity>
151    requires indirectly_writable<O, indirect_result_t<F&, projected<I1, Proj1>,
152                                           projected<I2, Proj2>>>
153    constexpr ranges::binary_transform_result<I1, I2, O>
154      transform(I1 first1, S1 last1, I2 first2, S2 last2, O result,
155                        F binary_op, Proj1 proj1 = {}, Proj2 proj2 = {});           // since C++20
156
157  template<input_range R1, input_range R2, weakly_incrementable O,
158           copy_constructible F, class Proj1 = identity, class Proj2 = identity>
159    requires indirectly_writable<O, indirect_result_t<F&, projected<iterator_t<R1>, Proj1>,
160                                           projected<iterator_t<R2>, Proj2>>>
161    constexpr ranges::binary_transform_result<borrowed_iterator_t<R1>, borrowed_iterator_t<R2>, O>
162      transform(R1&& r1, R2&& r2, O result,
163                        F binary_op, Proj1 proj1 = {}, Proj2 proj2 = {});           // since C++20
164
165  template<input_iterator I, sentinel_for<I> S, class T, class Proj = identity>
166    requires indirect_binary_predicate<ranges::equal_to, projected<I, Proj>, const T*>
167    constexpr iter_difference_t<I>
168      count(I first, S last, const T& value, Proj proj = {});                       // since C++20
169
170  template<input_range R, class T, class Proj = identity>
171    requires indirect_binary_predicate<ranges::equal_to, projected<iterator_t<R>, Proj>, const T*>
172    constexpr range_difference_t<R>
173      count(R&& r, const T& value, Proj proj = {});                                 // since C++20
174
175  template<input_iterator I, sentinel_for<I> S, class Proj = identity,
176           indirect_unary_predicate<projected<I, Proj>> Pred>
177    constexpr iter_difference_t<I>
178      count_if(I first, S last, Pred pred, Proj proj = {});                         // since C++20
179
180  template<input_range R, class Proj = identity,
181           indirect_unary_predicate<projected<iterator_t<R>, Proj>> Pred>
182    constexpr range_difference_t<R>
183      count_if(R&& r, Pred pred, Proj proj = {});                                   // since C++20
184
185  template<class T>
186  using minmax_result = min_max_result<T>;
187
188  template<class T, class Proj = identity,
189           indirect_strict_weak_order<projected<const T*, Proj>> Comp = ranges::less>
190    constexpr ranges::minmax_result<const T&>
191      minmax(const T& a, const T& b, Comp comp = {}, Proj proj = {});                     // since C++20
192
193  template<copyable T, class Proj = identity,
194           indirect_strict_weak_order<projected<const T*, Proj>> Comp = ranges::less>
195    constexpr ranges::minmax_result<T>
196      minmax(initializer_list<T> r, Comp comp = {}, Proj proj = {});                      // since C++20
197
198  template<input_range R, class Proj = identity,
199           indirect_strict_weak_order<projected<iterator_t<R>, Proj>> Comp = ranges::less>
200    requires indirectly_copyable_storable<iterator_t<R>, range_value_t<R>*>
201    constexpr ranges::minmax_result<range_value_t<R>>
202      minmax(R&& r, Comp comp = {}, Proj proj = {});                                      // since C++20
203
204  template<class I>
205  using minmax_element_result = min_max_result<I>;
206
207  template<forward_iterator I, sentinel_for<I> S, class Proj = identity,
208           indirect_strict_weak_order<projected<I, Proj>> Comp = ranges::less>
209    constexpr ranges::minmax_element_result<I>
210      minmax_element(I first, S last, Comp comp = {}, Proj proj = {});                    // since C++20
211
212  template<forward_range R, class Proj = identity,
213           indirect_strict_weak_order<projected<iterator_t<R>, Proj>> Comp = ranges::less>
214    constexpr ranges::minmax_element_result<borrowed_iterator_t<R>>
215      minmax_element(R&& r, Comp comp = {}, Proj proj = {});                              // since C++20
216
217  template<class I, class O>
218    using copy_result = in_out_result<I, O>;                                              // since C++20
219
220  template<class I, class O>
221    using copy_n_result = in_out_result<I, O>;                                            // since C++20
222
223  template<class I, class O>
224    using copy_if_result = in_out_result<I, O>;                                             // since C++20
225
226  template<class I1, class I2>
227    using copy_backward_result = in_out_result<I1, I2>;                                     // since C++20
228
229  template<input_iterator I, sentinel_for<I> S, weakly_incrementable O>
230    requires indirectly_copyable<I, O>
231    constexpr ranges::copy_result<I, O> ranges::copy(I first, S last, O result);            // since C++20
232
233  template<input_range R, weakly_incrementable O>
234    requires indirectly_copyable<iterator_t<R>, O>
235    constexpr ranges::copy_result<borrowed_iterator_t<R>, O> ranges::copy(R&& r, O result); // since C++20
236
237  template<input_iterator I, weakly_incrementable O>
238    requires indirectly_copyable<I, O>
239    constexpr ranges::copy_n_result<I, O>
240      ranges::copy_n(I first, iter_difference_t<I> n, O result);                            // since C++20
241
242  template<input_iterator I, sentinel_for<I> S, weakly_incrementable O, class Proj = identity,
243           indirect_unary_predicate<projected<I, Proj>> Pred>
244    requires indirectly_copyable<I, O>
245    constexpr ranges::copy_if_result<I, O>
246      ranges::copy_if(I first, S last, O result, Pred pred, Proj proj = {});                // since C++20
247
248  template<input_range R, weakly_incrementable O, class Proj = identity,
249           indirect_unary_predicate<projected<iterator_t<R>, Proj>> Pred>
250    requires indirectly_copyable<iterator_t<R>, O>
251    constexpr ranges::copy_if_result<borrowed_iterator_t<R>, O>
252      ranges::copy_if(R&& r, O result, Pred pred, Proj proj = {});                          // since C++20
253
254  template<bidirectional_iterator I1, sentinel_for<I1> S1, bidirectional_iterator I2>
255    requires indirectly_copyable<I1, I2>
256    constexpr ranges::copy_backward_result<I1, I2>
257      ranges::copy_backward(I1 first, S1 last, I2 result);                                  // since C++20
258
259  template<bidirectional_range R, bidirectional_iterator I>
260    requires indirectly_copyable<iterator_t<R>, I>
261    constexpr ranges::copy_backward_result<borrowed_iterator_t<R>, I>
262      ranges::copy_backward(R&& r, I result);                                               // since C++20
263
264  template<class I, class F>
265    using for_each_result = in_fun_result<I, F>;                                            // since C++20
266
267  template<input_iterator I, sentinel_for<I> S, class Proj = identity,
268           indirectly_unary_invocable<projected<I, Proj>> Fun>
269    constexpr ranges::for_each_result<I, Fun>
270      ranges::for_each(I first, S last, Fun f, Proj proj = {});                             // since C++20
271
272  template<input_range R, class Proj = identity,
273           indirectly_unary_invocable<projected<iterator_t<R>, Proj>> Fun>
274    constexpr ranges::for_each_result<borrowed_iterator_t<R>, Fun>
275      ranges::for_each(R&& r, Fun f, Proj proj = {});                                       // since C++20
276
277  template<input_iterator I, class Proj = identity,
278           indirectly_unary_invocable<projected<I, Proj>> Fun>
279    constexpr ranges::for_each_n_result<I, Fun>
280      ranges::for_each_n(I first, iter_difference_t<I> n, Fun f, Proj proj = {});           // since C++20
281
282  template<input_iterator I, sentinel_for<I> S, class Proj = identity,
283           indirect_unary_predicate<projected<I, Proj>> Pred>
284    constexpr bool ranges::is_partitioned(I first, S last, Pred pred, Proj proj = {});      // since C++20
285
286  template<input_range R, class Proj = identity,
287           indirect_unary_predicate<projected<iterator_t<R>, Proj>> Pred>
288    constexpr bool ranges::is_partitioned(R&& r, Pred pred, Proj proj = {});                // since C++20
289
290  template<random_access_iterator I, sentinel_for<I> S, class Comp = ranges::less,
291          class Proj = identity>
292    requires sortable<I, Comp, Proj>
293    constexpr I
294      ranges::push_heap(I first, S last, Comp comp = {}, Proj proj = {});                   // since C++20
295
296  template<random_access_range R, class Comp = ranges::less, class Proj = identity>
297    requires sortable<iterator_t<R>, Comp, Proj>
298    constexpr borrowed_iterator_t<R>
299      ranges::push_heap(R&& r, Comp comp = {}, Proj proj = {});                             // since C++20
300
301  template<random_access_iterator I, sentinel_for<I> S, class Comp = ranges::less,
302          class Proj = identity>
303    requires sortable<I, Comp, Proj>
304    constexpr I
305      ranges::pop_heap(I first, S last, Comp comp = {}, Proj proj = {});                    // since C++20
306
307  template<random_access_range R, class Comp = ranges::less, class Proj = identity>
308    requires sortable<iterator_t<R>, Comp, Proj>
309    constexpr borrowed_iterator_t<R>
310      ranges::pop_heap(R&& r, Comp comp = {}, Proj proj = {});                              // since C++20
311
312  template<random_access_iterator I, sentinel_for<I> S, class Comp = ranges::less,
313          class Proj = identity>
314    requires sortable<I, Comp, Proj>
315    constexpr I
316      ranges::make_heap(I first, S last, Comp comp = {}, Proj proj = {});                   // since C++20
317
318  template<random_access_range R, class Comp = ranges::less, class Proj = identity>
319    requires sortable<iterator_t<R>, Comp, Proj>
320    constexpr borrowed_iterator_t<R>
321      ranges::make_heap(R&& r, Comp comp = {}, Proj proj = {});                             // since C++20
322
323  template<random_access_iterator I, sentinel_for<I> S, class Comp = ranges::less,
324          class Proj = identity>
325    requires sortable<I, Comp, Proj>
326    constexpr I
327      ranges::sort_heap(I first, S last, Comp comp = {}, Proj proj = {});                   // since C++20
328
329  template<random_access_range R, class Comp = ranges::less, class Proj = identity>
330    requires sortable<iterator_t<R>, Comp, Proj>
331    constexpr borrowed_iterator_t<R>
332      ranges::sort_heap(R&& r, Comp comp = {}, Proj proj = {});                             // since C++20
333
334  template<random_access_iterator I, sentinel_for<I> S, class Proj = identity,
335            indirect_strict_weak_order<projected<I, Proj>> Comp = ranges::less>
336    constexpr bool is_heap(I first, S last, Comp comp = {}, Proj proj = {});                // Since C++20
337
338  template<random_access_range R, class Proj = identity,
339            indirect_strict_weak_order<projected<iterator_t<R>, Proj>> Comp = ranges::less>
340    constexpr bool is_heap(R&& r, Comp comp = {}, Proj proj = {});                          // Since C++20
341
342  template<random_access_iterator I, sentinel_for<I> S, class Proj = identity,
343           indirect_strict_weak_order<projected<I, Proj>> Comp = ranges::less>
344    constexpr I is_heap_until(I first, S last, Comp comp = {}, Proj proj = {});             // Since C++20
345
346  template<random_access_range R, class Proj = identity,
347           indirect_strict_weak_order<projected<iterator_t<R>, Proj>> Comp = ranges::less>
348    constexpr borrowed_iterator_t<R>
349      is_heap_until(R&& r, Comp comp = {}, Proj proj = {});                                 // Since C++20
350
351  template<bidirectional_iterator I, sentinel_for<I> S>
352    requires permutable<I>
353    constexpr I ranges::reverse(I first, S last);                                           // since C++20
354
355  template<bidirectional_range R>
356    requires permutable<iterator_t<R>>
357    constexpr borrowed_iterator_t<R> ranges::reverse(R&& r);                                // since C++20
358
359  template<random_access_iterator I, sentinel_for<I> S, class Comp = ranges::less,
360            class Proj = identity>
361    requires sortable<I, Comp, Proj>
362    constexpr I
363      ranges::sort(I first, S last, Comp comp = {}, Proj proj = {});                        // since C++20
364
365  template<random_access_range R, class Comp = ranges::less, class Proj = identity>
366    requires sortable<iterator_t<R>, Comp, Proj>
367    constexpr borrowed_iterator_t<R>
368      ranges::sort(R&& r, Comp comp = {}, Proj proj = {});                                  // since C++20
369
370  template<random_access_iterator I, sentinel_for<I> S, class Comp = ranges::less,
371          class Proj = identity>
372    requires sortable<I, Comp, Proj>
373    I ranges::stable_sort(I first, S last, Comp comp = {}, Proj proj = {});                 // since C++20
374
375  template<random_access_range R, class Comp = ranges::less, class Proj = identity>
376    requires sortable<iterator_t<R>, Comp, Proj>
377    borrowed_iterator_t<R>
378      ranges::stable_sort(R&& r, Comp comp = {}, Proj proj = {});                           // since C++20
379
380  template<random_access_iterator I, sentinel_for<I> S, class Comp = ranges::less,
381           class Proj = identity>
382    requires sortable<I, Comp, Proj>
383    constexpr I
384      ranges::partial_sort(I first, I middle, S last, Comp comp = {}, Proj proj = {});      // since C++20
385
386  template<random_access_range R, class Comp = ranges::less, class Proj = identity>
387    requires sortable<iterator_t<R>, Comp, Proj>
388    constexpr borrowed_iterator_t<R>
389      ranges::partial_sort(R&& r, iterator_t<R> middle, Comp comp = {}, Proj proj = {});    // since C++20
390
391  template<class T, output_iterator<const T&> O, sentinel_for<O> S>
392    constexpr O ranges::fill(O first, S last, const T& value);                              // since C++20
393
394  template<class T, output_range<const T&> R>
395    constexpr borrowed_iterator_t<R> ranges::fill(R&& r, const T& value);                   // since C++20
396
397  template<class T, output_iterator<const T&> O>
398    constexpr O ranges::fill_n(O first, iter_difference_t<O> n, const T& value);            // since C++20
399
400  template<input_or_output_iterator O, sentinel_for<O> S, copy_constructible F>
401    requires invocable<F&> && indirectly_writable<O, invoke_result_t<F&>>
402    constexpr O generate(O first, S last, F gen);                                           // Since C++20
403
404  template<class R, copy_constructible F>
405    requires invocable<F&> && output_range<R, invoke_result_t<F&>>
406    constexpr borrowed_iterator_t<R> generate(R&& r, F gen);                                // Since C++20
407
408  template<input_or_output_iterator O, copy_constructible F>
409    requires invocable<F&> && indirectly_writable<O, invoke_result_t<F&>>
410    constexpr O generate_n(O first, iter_difference_t<O> n, F gen);                         // Since C++20
411
412 template<input_iterator I1, sentinel_for<I1> S1, input_iterator I2, sentinel_for<I2> S2,
413          class Pred = ranges::equal_to, class Proj1 = identity, class Proj2 = identity>
414   requires indirectly_comparable<I1, I2, Pred, Proj1, Proj2>
415   constexpr bool ranges::equal(I1 first1, S1 last1, I2 first2, S2 last2,
416                                Pred pred = {},
417                                Proj1 proj1 = {}, Proj2 proj2 = {});                        // since C++20
418
419 template<input_range R1, input_range R2, class Pred = ranges::equal_to,
420          class Proj1 = identity, class Proj2 = identity>
421   requires indirectly_comparable<iterator_t<R1>, iterator_t<R2>, Pred, Proj1, Proj2>
422   constexpr bool ranges::equal(R1&& r1, R2&& r2, Pred pred = {},
423                                Proj1 proj1 = {}, Proj2 proj2 = {});                        // since C++20
424
425  template<input_iterator I, sentinel_for<I> S, class Proj = identity,
426           indirect_unary_predicate<projected<I, Proj>> Pred>
427    constexpr bool ranges::all_of(I first, S last, Pred pred, Proj proj = {});      // since C++20
428
429  template<input_range R, class Proj = identity,
430           indirect_unary_predicate<projected<iterator_t<R>, Proj>> Pred>
431    constexpr bool ranges::all_of(R&& r, Pred pred, Proj proj = {});                // since C++20
432
433  template<input_iterator I, sentinel_for<I> S, class Proj = identity,
434           indirect_unary_predicate<projected<I, Proj>> Pred>
435    constexpr bool ranges::any_of(I first, S last, Pred pred, Proj proj = {});      // since C++20
436
437  template<input_range R, class Proj = identity,
438           indirect_unary_predicate<projected<iterator_t<R>, Proj>> Pred>
439    constexpr bool ranges::any_of(R&& r, Pred pred, Proj proj = {});                // since C++20
440
441  template<input_iterator I, sentinel_for<I> S, class Proj = identity,
442           indirect_unary_predicate<projected<I, Proj>> Pred>
443    constexpr bool ranges::none_of(I first, S last, Pred pred, Proj proj = {});     // since C++20
444
445  template<input_range R, class Proj = identity,
446           indirect_unary_predicate<projected<iterator_t<R>, Proj>> Pred>
447    constexpr bool ranges::none_of(R&& r, Pred pred, Proj proj = {});               // since C++20
448
449  template<forward_iterator I, sentinel_for<I> S, class Proj = identity,
450           indirect_strict_weak_order<projected<I, Proj>> Comp = ranges::less>
451    constexpr bool ranges::is_sorted(I first, S last, Comp comp = {}, Proj proj = {});      // since C++20
452
453  template<forward_range R, class Proj = identity,
454           indirect_strict_weak_order<projected<iterator_t<R>, Proj>> Comp = ranges::less>
455    constexpr bool ranges::is_sorted(R&& r, Comp comp = {}, Proj proj = {});                // since C++20
456
457  template<forward_iterator I, sentinel_for<I> S, class Proj = identity,
458           indirect_strict_weak_order<projected<I, Proj>> Comp = ranges::less>
459    constexpr I ranges::is_sorted_until(I first, S last, Comp comp = {}, Proj proj = {});   // since C++20
460
461  template<forward_range R, class Proj = identity,
462           indirect_strict_weak_order<projected<iterator_t<R>, Proj>> Comp = ranges::less>
463    constexpr borrowed_iterator_t<R>
464      ranges::is_sorted_until(R&& r, Comp comp = {}, Proj proj = {});                       // since C++20
465
466  template<random_access_iterator I, sentinel_for<I> S, class Comp = ranges::less,
467          class Proj = identity>
468    requires sortable<I, Comp, Proj>
469    constexpr I
470      ranges::nth_element(I first, I nth, S last, Comp comp = {}, Proj proj = {});            // since C++20
471
472  template<random_access_range R, class Comp = ranges::less, class Proj = identity>
473    requires sortable<iterator_t<R>, Comp, Proj>
474    constexpr borrowed_iterator_t<R>
475      ranges::nth_element(R&& r, iterator_t<R> nth, Comp comp = {}, Proj proj = {});          // since C++20
476
477  template<forward_iterator I, sentinel_for<I> S, class T, class Proj = identity,
478           indirect_strict_weak_order<const T*, projected<I, Proj>> Comp = ranges::less>
479    constexpr I upper_bound(I first, S last, const T& value, Comp comp = {}, Proj proj = {}); // since C++20
480
481  template<forward_range R, class T, class Proj = identity,
482           indirect_strict_weak_order<const T*, projected<iterator_t<R>, Proj>> Comp =
483             ranges::less>
484    constexpr borrowed_iterator_t<R>
485      upper_bound(R&& r, const T& value, Comp comp = {}, Proj proj = {});                     // since C++20
486
487  template<forward_iterator I, sentinel_for<I> S, class T, class Proj = identity,
488           indirect_strict_weak_order<const T*, projected<I, Proj>> Comp = ranges::less>
489    constexpr I lower_bound(I first, S last, const T& value, Comp comp = {},
490                                    Proj proj = {});                                          // since C++20
491  template<forward_range R, class T, class Proj = identity,
492           indirect_strict_weak_order<const T*, projected<iterator_t<R>, Proj>> Comp =
493             ranges::less>
494    constexpr borrowed_iterator_t<R>
495      lower_bound(R&& r, const T& value, Comp comp = {}, Proj proj = {});                     // since C++20
496
497  template<forward_iterator I, sentinel_for<I> S, class T, class Proj = identity,
498           indirect_strict_weak_order<const T*, projected<I, Proj>> Comp = ranges::less>
499    constexpr bool binary_search(I first, S last, const T& value, Comp comp = {},
500                                         Proj proj = {});                                     // since C++20
501
502  template<forward_range R, class T, class Proj = identity,
503           indirect_strict_weak_order<const T*, projected<iterator_t<R>, Proj>> Comp =
504             ranges::less>
505    constexpr bool binary_search(R&& r, const T& value, Comp comp = {},
506                                         Proj proj = {});                                     // since C++20
507
508  template<permutable I, sentinel_for<I> S, class Proj = identity,
509           indirect_unary_predicate<projected<I, Proj>> Pred>
510    constexpr subrange<I>
511      partition(I first, S last, Pred pred, Proj proj = {});                                  // Since C++20
512
513  template<forward_range R, class Proj = identity,
514           indirect_unary_predicate<projected<iterator_t<R>, Proj>> Pred>
515    requires permutable<iterator_t<R>>
516    constexpr borrowed_subrange_t<R>
517      partition(R&& r, Pred pred, Proj proj = {});                                            // Since C++20
518
519  template<bidirectional_iterator I, sentinel_for<I> S, class Proj = identity,
520           indirect_unary_predicate<projected<I, Proj>> Pred>
521    requires permutable<I>
522    subrange<I> stable_partition(I first, S last, Pred pred, Proj proj = {});                 // Since C++20
523
524  template<bidirectional_range R, class Proj = identity,
525           indirect_unary_predicate<projected<iterator_t<R>, Proj>> Pred>
526    requires permutable<iterator_t<R>>
527    borrowed_subrange_t<R> stable_partition(R&& r, Pred pred, Proj proj = {});                // Since C++20
528
529  template<input_iterator I1, sentinel_for<I1> S1, forward_iterator I2, sentinel_for<I2> S2,
530           class Pred = ranges::equal_to, class Proj1 = identity, class Proj2 = identity>
531    requires indirectly_comparable<I1, I2, Pred, Proj1, Proj2>
532    constexpr I1 ranges::find_first_of(I1 first1, S1 last1, I2 first2, S2 last2,
533                                       Pred pred = {},
534                                       Proj1 proj1 = {}, Proj2 proj2 = {});                 // since C++20
535
536  template<input_range R1, forward_range R2,
537           class Pred = ranges::equal_to, class Proj1 = identity, class Proj2 = identity>
538    requires indirectly_comparable<iterator_t<R1>, iterator_t<R2>, Pred, Proj1, Proj2>
539    constexpr borrowed_iterator_t<R1>
540      ranges::find_first_of(R1&& r1, R2&& r2,
541                            Pred pred = {},
542                            Proj1 proj1 = {}, Proj2 proj2 = {});                            // since C++20
543
544  template<forward_iterator I, sentinel_for<I> S, class Proj = identity,
545           indirect_binary_predicate<projected<I, Proj>,
546                                     projected<I, Proj>> Pred = ranges::equal_to>
547    constexpr I ranges::adjacent_find(I first, S last, Pred pred = {}, Proj proj = {});     // since C+20
548
549  template<forward_range R, class Proj = identity,
550           indirect_binary_predicate<projected<iterator_t<R>, Proj>,
551                                     projected<iterator_t<R>, Proj>> Pred = ranges::equal_to>
552    constexpr borrowed_iterator_t<R> ranges::adjacent_find(R&& r, Pred pred = {}, Proj proj = {});  // since C++20
553
554  template<input_iterator I, sentinel_for<I> S, class T1, class T2, class Proj = identity>
555    requires indirectly_writable<I, const T2&> &&
556             indirect_binary_predicate<ranges::equal_to, projected<I, Proj>, const T1*>
557    constexpr I
558      ranges::replace(I first, S last, const T1& old_value, const T2& new_value, Proj proj = {});   // since C++20
559
560  template<input_range R, class T1, class T2, class Proj = identity>
561    requires indirectly_writable<iterator_t<R>, const T2&> &&
562             indirect_binary_predicate<ranges::equal_to, projected<iterator_t<R>, Proj>, const T1*>
563    constexpr borrowed_iterator_t<R>
564      ranges::replace(R&& r, const T1& old_value, const T2& new_value, Proj proj = {});             // since C++20
565
566  template<input_iterator I, sentinel_for<I> S, class T, class Proj = identity,
567           indirect_unary_predicate<projected<I, Proj>> Pred>
568    requires indirectly_writable<I, const T&>
569    constexpr I ranges::replace_if(I first, S last, Pred pred, const T& new_value, Proj proj = {}); // since C++20
570
571  template<input_range R, class T, class Proj = identity,
572           indirect_unary_predicate<projected<iterator_t<R>, Proj>> Pred>
573    requires indirectly_writable<iterator_t<R>, const T&>
574    constexpr borrowed_iterator_t<R>
575      ranges::replace_if(R&& r, Pred pred, const T& new_value, Proj proj = {});                     // since C++20
576
577  template<input_iterator I1, sentinel_for<I1> S1, input_iterator I2, sentinel_for<I2> S2,
578           class Proj1 = identity, class Proj2 = identity,
579           indirect_strict_weak_order<projected<I1, Proj1>,
580                                      projected<I2, Proj2>> Comp = ranges::less>
581    constexpr bool
582      ranges::lexicographical_compare(I1 first1, S1 last1, I2 first2, S2 last2,
583                                      Comp comp = {}, Proj1 proj1 = {}, Proj2 proj2 = {});    // since C++20
584
585  template<input_range R1, input_range R2, class Proj1 = identity,
586           class Proj2 = identity,
587           indirect_strict_weak_order<projected<iterator_t<R1>, Proj1>,
588                                      projected<iterator_t<R2>, Proj2>> Comp = ranges::less>
589    constexpr bool
590      ranges::lexicographical_compare(R1&& r1, R2&& r2, Comp comp = {},
591                                      Proj1 proj1 = {}, Proj2 proj2 = {});                    // since C++20
592
593  template<bidirectional_iterator I1, sentinel_for<I1> S1, bidirectional_iterator I2>
594    requires indirectly_movable<I1, I2>
595    constexpr ranges::move_backward_result<I1, I2>
596      ranges::move_backward(I1 first, S1 last, I2 result);                                          // since C++20
597
598  template<bidirectional_range R, bidirectional_iterator I>
599    requires indirectly_movable<iterator_t<R>, I>
600    constexpr ranges::move_backward_result<borrowed_iterator_t<R>, I>
601      ranges::move_backward(R&& r, I result);                                                       // since C++20
602
603  template<input_iterator I, sentinel_for<I> S, weakly_incrementable O>
604    requires indirectly_movable<I, O>
605    constexpr ranges::move_result<I, O>
606      ranges::move(I first, S last, O result);                                                      // since C++20
607
608  template<input_range R, weakly_incrementable O>
609    requires indirectly_movable<iterator_t<R>, O>
610    constexpr ranges::move_result<borrowed_iterator_t<R>, O>
611      ranges::move(R&& r, O result);                                                                // since C++20
612
613  template<class I, class O1, class O2>
614      using partition_copy_result = in_out_out_result<I, O1, O2>;                                   // since C++20
615
616  template<input_iterator I, sentinel_for<I> S,
617          weakly_incrementable O1, weakly_incrementable O2,
618          class Proj = identity, indirect_unary_predicate<projected<I, Proj>> Pred>
619    requires indirectly_copyable<I, O1> && indirectly_copyable<I, O2>
620    constexpr partition_copy_result<I, O1, O2>
621      partition_copy(I first, S last, O1 out_true, O2 out_false, Pred pred,
622                    Proj proj = {});                                                                // Since C++20
623
624  template<input_range R, weakly_incrementable O1, weakly_incrementable O2,
625          class Proj = identity,
626          indirect_unary_predicate<projected<iterator_t<R>, Proj>> Pred>
627    requires indirectly_copyable<iterator_t<R>, O1> &&
628            indirectly_copyable<iterator_t<R>, O2>
629    constexpr partition_copy_result<borrowed_iterator_t<R>, O1, O2>
630      partition_copy(R&& r, O1 out_true, O2 out_false, Pred pred, Proj proj = {});                  // Since C++20
631
632  template<forward_iterator I, sentinel_for<I> S, class Proj = identity,
633           indirect_unary_predicate<projected<I, Proj>> Pred>
634    constexpr I partition_point(I first, S last, Pred pred, Proj proj = {});                        // Since C++20
635
636  template<forward_range R, class Proj = identity,
637           indirect_unary_predicate<projected<iterator_t<R>, Proj>> Pred>
638    constexpr borrowed_iterator_t<R>
639      partition_point(R&& r, Pred pred, Proj proj = {});                                            // Since C++20
640
641  template<class I1, class I2, class O>
642    using merge_result = in_in_out_result<I1, I2, O>;                                               // since C++20
643
644  template<input_iterator I1, sentinel_for<I1> S1, input_iterator I2, sentinel_for<I2> S2,
645           weakly_incrementable O, class Comp = ranges::less, class Proj1 = identity,
646           class Proj2 = identity>
647    requires mergeable<I1, I2, O, Comp, Proj1, Proj2>
648    constexpr merge_result<I1, I2, O>
649      merge(I1 first1, S1 last1, I2 first2, S2 last2, O result,
650            Comp comp = {}, Proj1 proj1 = {}, Proj2 proj2 = {});                                    // since C++20
651
652  template<input_range R1, input_range R2, weakly_incrementable O, class Comp = ranges::less,
653           class Proj1 = identity, class Proj2 = identity>
654    requires mergeable<iterator_t<R1>, iterator_t<R2>, O, Comp, Proj1, Proj2>
655    constexpr merge_result<borrowed_iterator_t<R1>, borrowed_iterator_t<R2>, O>
656      merge(R1&& r1, R2&& r2, O result,
657            Comp comp = {}, Proj1 proj1 = {}, Proj2 proj2 = {});                                    // since C++20
658
659  template<permutable I, sentinel_for<I> S, class T, class Proj = identity>
660    requires indirect_binary_predicate<ranges::equal_to, projected<I, Proj>, const T*>
661    constexpr subrange<I> ranges::remove(I first, S last, const T& value, Proj proj = {});          // since C++20
662
663  template<forward_range R, class T, class Proj = identity>
664    requires permutable<iterator_t<R>> &&
665             indirect_binary_predicate<ranges::equal_to, projected<iterator_t<R>, Proj>, const T*>
666    constexpr borrowed_subrange_t<R>
667      ranges::remove(R&& r, const T& value, Proj proj = {});                                        // since C++20
668
669  template<permutable I, sentinel_for<I> S, class Proj = identity,
670           indirect_unary_predicate<projected<I, Proj>> Pred>
671    constexpr subrange<I> ranges::remove_if(I first, S last, Pred pred, Proj proj = {});            // since C++20
672
673  template<forward_range R, class Proj = identity,
674           indirect_unary_predicate<projected<iterator_t<R>, Proj>> Pred>
675    requires permutable<iterator_t<R>>
676    constexpr borrowed_subrange_t<R>
677      ranges::remove_if(R&& r, Pred pred, Proj proj = {});                                          // since C++20
678
679  template<class I, class O>
680    using set_difference_result = in_out_result<I, O>;                                              // since C++20
681
682  template<input_iterator I1, sentinel_for<I1> S1, input_iterator I2, sentinel_for<I2> S2,
683           weakly_incrementable O, class Comp = ranges::less,
684           class Proj1 = identity, class Proj2 = identity>
685    requires mergeable<I1, I2, O, Comp, Proj1, Proj2>
686    constexpr set_difference_result<I1, O>
687      set_difference(I1 first1, S1 last1, I2 first2, S2 last2, O result,
688                     Comp comp = {}, Proj1 proj1 = {}, Proj2 proj2 = {});                           // since C++20
689
690  template<input_range R1, input_range R2, weakly_incrementable O,
691           class Comp = ranges::less, class Proj1 = identity, class Proj2 = identity>
692    requires mergeable<iterator_t<R1>, iterator_t<R2>, O, Comp, Proj1, Proj2>
693    constexpr set_difference_result<borrowed_iterator_t<R1>, O>
694      set_difference(R1&& r1, R2&& r2, O result,
695                     Comp comp = {}, Proj1 proj1 = {}, Proj2 proj2 = {});                           // since C++20
696
697  template<class I1, class I2, class O>
698    using set_intersection_result = in_in_out_result<I1, I2, O>;                                    // since C++20
699
700  template<input_iterator I1, sentinel_for<I1> S1, input_iterator I2, sentinel_for<I2> S2,
701           weakly_incrementable O, class Comp = ranges::less,
702           class Proj1 = identity, class Proj2 = identity>
703    requires mergeable<I1, I2, O, Comp, Proj1, Proj2>
704    constexpr set_intersection_result<I1, I2, O>
705      set_intersection(I1 first1, S1 last1, I2 first2, S2 last2, O result,
706                       Comp comp = {}, Proj1 proj1 = {}, Proj2 proj2 = {});                         // since C++20
707
708  template<input_iterator I1, sentinel_for<I1> S1, input_iterator I2, sentinel_for<I2> S2,
709           weakly_incrementable O, class Comp = ranges::less,
710           class Proj1 = identity, class Proj2 = identity>
711    requires mergeable<I1, I2, O, Comp, Proj1, Proj2>
712    constexpr set_intersection_result<borrowed_iterator_t<R1>, borrowed_iterator_t<R2>, O>
713      set_intersection(R1&& r1, R2&& r2, O result,
714                       Comp comp = {}, Proj1 proj1 = {}, Proj2 proj2 = {});                         // since C++20
715
716  template <class _InIter, class _OutIter>
717  using reverse_copy_result = in_out_result<_InIter, _OutIter>;                                     // since C++20
718
719  template<bidirectional_iterator I, sentinel_for<I> S, weakly_incrementable O>
720    requires indirectly_copyable<I, O>
721    constexpr ranges::reverse_copy_result<I, O>
722      ranges::reverse_copy(I first, S last, O result);                                              // since C++20
723
724  template<bidirectional_range R, weakly_incrementable O>
725    requires indirectly_copyable<iterator_t<R>, O>
726    constexpr ranges::reverse_copy_result<borrowed_iterator_t<R>, O>
727      ranges::reverse_copy(R&& r, O result);                                                        // since C++20
728
729  template <class _InIter, class _OutIter>
730  using rotate_copy_result = in_out_result<_InIter, _OutIter>;                                      // since C++20
731
732  template<forward_iterator I, sentinel_for<I> S, weakly_incrementable O>
733    requires indirectly_copyable<I, O>
734    constexpr ranges::rotate_copy_result<I, O>
735      ranges::rotate_copy(I first, I middle, S last, O result);                                     // since C++20
736
737  template<forward_range R, weakly_incrementable O>
738    requires indirectly_copyable<iterator_t<R>, O>
739    constexpr ranges::rotate_copy_result<borrowed_iterator_t<R>, O>
740      ranges::rotate_copy(R&& r, iterator_t<R> middle, O result);                                   // since C++20
741
742  template<random_access_iterator I, sentinel_for<I> S, class Gen>
743    requires permutable<I> &&
744            uniform_random_bit_generator<remove_reference_t<Gen>>
745    I shuffle(I first, S last, Gen&& g);                                                           // Since C++20
746
747  template<random_access_range R, class Gen>
748    requires permutable<iterator_t<R>> &&
749            uniform_random_bit_generator<remove_reference_t<Gen>>
750    borrowed_iterator_t<R> shuffle(R&& r, Gen&& g);                                                // Since C++20
751
752  template<forward_iterator I1, sentinel_for<I1> S1, forward_iterator I2,
753           sentinel_for<I2> S2, class Pred = ranges::equal_to,
754           class Proj1 = identity, class Proj2 = identity>
755    requires indirectly_comparable<I1, I2, Pred, Proj1, Proj2>
756    constexpr subrange<I1>
757      ranges::search(I1 first1, S1 last1, I2 first2, S2 last2, Pred pred = {},
758                     Proj1 proj1 = {}, Proj2 proj2 = {});                                           // since C++20
759
760  template<forward_range R1, forward_range R2, class Pred = ranges::equal_to,
761           class Proj1 = identity, class Proj2 = identity>
762    requires indirectly_comparable<iterator_t<R1>, iterator_t<R2>, Pred, Proj1, Proj2>
763    constexpr borrowed_subrange_t<R1>
764      ranges::search(R1&& r1, R2&& r2, Pred pred = {},
765                     Proj1 proj1 = {}, Proj2 proj2 = {});                                           // since C++20
766
767  template<forward_iterator I, sentinel_for<I> S, class T,
768           class Pred = ranges::equal_to, class Proj = identity>
769    requires indirectly_comparable<I, const T*, Pred, Proj>
770    constexpr subrange<I>
771      ranges::search_n(I first, S last, iter_difference_t<I> count,
772                       const T& value, Pred pred = {}, Proj proj = {});                             // since C++20
773
774  template<forward_range R, class T, class Pred = ranges::equal_to,
775           class Proj = identity>
776    requires indirectly_comparable<iterator_t<R>, const T*, Pred, Proj>
777    constexpr borrowed_subrange_t<R>
778      ranges::search_n(R&& r, range_difference_t<R> count,
779                       const T& value, Pred pred = {}, Proj proj = {});                             // since C++20
780
781  template<forward_iterator I1, sentinel_for<I1> S1, forward_iterator I2, sentinel_for<I2> S2,
782           class Pred = ranges::equal_to, class Proj1 = identity, class Proj2 = identity>
783    requires indirectly_comparable<I1, I2, Pred, Proj1, Proj2>
784    constexpr subrange<I1>
785      ranges::find_end(I1 first1, S1 last1, I2 first2, S2 last2, Pred pred = {},
786                       Proj1 proj1 = {}, Proj2 proj2 = {});                                         // since C++20
787
788  template<forward_range R1, forward_range R2,
789           class Pred = ranges::equal_to, class Proj1 = identity, class Proj2 = identity>
790    requires indirectly_comparable<iterator_t<R1>, iterator_t<R2>, Pred, Proj1, Proj2>
791    constexpr borrowed_subrange_t<R1>
792      ranges::find_end(R1&& r1, R2&& r2, Pred pred = {},
793                       Proj1 proj1 = {}, Proj2 proj2 = {});                                         // since C++20
794
795  template<class I1, class I2, class O>
796    using set_symmetric_difference_result = in_in_out_result<I1, I2, O>;                            // since C++20
797
798  template<input_iterator I1, sentinel_for<I1> S1, input_iterator I2, sentinel_for<I2> S2,
799           weakly_incrementable O, class Comp = ranges::less,
800           class Proj1 = identity, class Proj2 = identity>
801    requires mergeable<I1, I2, O, Comp, Proj1, Proj2>
802    constexpr set_symmetric_difference_result<I1, I2, O>
803      set_symmetric_difference(I1 first1, S1 last1, I2 first2, S2 last2, O result,
804                               Comp comp = {}, Proj1 proj1 = {},
805                               Proj2 proj2 = {});                                                   // since C++20
806
807  template<input_range R1, input_range R2, weakly_incrementable O,
808           class Comp = ranges::less, class Proj1 = identity, class Proj2 = identity>
809    requires mergeable<iterator_t<R1>, iterator_t<R2>, O, Comp, Proj1, Proj2>
810    constexpr set_symmetric_difference_result<borrowed_iterator_t<R1>,
811                                                      borrowed_iterator_t<R2>, O>
812      set_symmetric_difference(R1&& r1, R2&& r2, O result, Comp comp = {},
813                               Proj1 proj1 = {}, Proj2 proj2 = {});                                 // since C++20
814
815  template<forward_iterator I, sentinel_for<I> S, class T, class Proj = identity,
816           indirect_strict_weak_order<const T*, projected<I, Proj>> Comp = ranges::less>
817    constexpr subrange<I>
818      equal_range(I first, S last, const T& value, Comp comp = {}, Proj proj = {});                 // since C++20
819
820  template<forward_range R, class T, class Proj = identity,
821           indirect_strict_weak_order<const T*, projected<iterator_t<R>, Proj>> Comp =
822             ranges::less>
823    constexpr borrowed_subrange_t<R>
824      equal_range(R&& r, const T& value, Comp comp = {}, Proj proj = {});                           // since C++20
825
826  template<class I1, class I2, class O>
827    using set_union_result = in_in_out_result<I1, I2, O>;                                           // since C++20
828
829  template<input_iterator I1, sentinel_for<I1> S1, input_iterator I2, sentinel_for<I2> S2,
830           weakly_incrementable O, class Comp = ranges::less,
831           class Proj1 = identity, class Proj2 = identity>
832    requires mergeable<I1, I2, O, Comp, Proj1, Proj2>
833    constexpr set_union_result<I1, I2, O>
834      set_union(I1 first1, S1 last1, I2 first2, S2 last2, O result, Comp comp = {},
835                Proj1 proj1 = {}, Proj2 proj2 = {});                                                // since C++20
836
837  template<input_range R1, input_range R2, weakly_incrementable O,
838           class Comp = ranges::less, class Proj1 = identity, class Proj2 = identity>
839    requires mergeable<iterator_t<R1>, iterator_t<R2>, O, Comp, Proj1, Proj2>
840    constexpr set_union_result<borrowed_iterator_t<R1>, borrowed_iterator_t<R2>, O>
841      set_union(R1&& r1, R2&& r2, O result, Comp comp = {},
842                Proj1 proj1 = {}, Proj2 proj2 = {});                                                // since C++20
843
844  template<input_iterator I1, sentinel_for<I1> S1, input_iterator I2, sentinel_for<I2> S2,
845           class Proj1 = identity, class Proj2 = identity,
846           indirect_strict_weak_order<projected<I1, Proj1>, projected<I2, Proj2>> Comp =
847             ranges::less>
848    constexpr bool includes(I1 first1, S1 last1, I2 first2, S2 last2, Comp comp = {},
849                            Proj1 proj1 = {}, Proj2 proj2 = {});                                   // Since C++20
850
851  template<input_range R1, input_range R2, class Proj1 = identity,
852           class Proj2 = identity,
853           indirect_strict_weak_order<projected<iterator_t<R1>, Proj1>,
854                                      projected<iterator_t<R2>, Proj2>> Comp = ranges::less>
855    constexpr bool includes(R1&& r1, R2&& r2, Comp comp = {},
856                            Proj1 proj1 = {}, Proj2 proj2 = {});                                   // Since C++20
857
858  template<bidirectional_iterator I, sentinel_for<I> S, class Comp = ranges::less,
859           class Proj = identity>
860    requires sortable<I, Comp, Proj>
861    I inplace_merge(I first, I middle, S last, Comp comp = {}, Proj proj = {});                    // Since C++20
862
863  template<bidirectional_range R, class Comp = ranges::less, class Proj = identity>
864    requires sortable<iterator_t<R>, Comp, Proj>
865    borrowed_iterator_t<R>
866      inplace_merge(R&& r, iterator_t<R> middle, Comp comp = {},
867                    Proj proj = {});                                                               // Since C++20
868}
869
870    constexpr bool     // constexpr in C++20
871    all_of(InputIterator first, InputIterator last, Predicate pred);
872
873template <class InputIterator, class Predicate>
874    constexpr bool     // constexpr in C++20
875    any_of(InputIterator first, InputIterator last, Predicate pred);
876
877template <class InputIterator, class Predicate>
878    constexpr bool     // constexpr in C++20
879    none_of(InputIterator first, InputIterator last, Predicate pred);
880
881template <class InputIterator, class Function>
882    constexpr Function          // constexpr in C++20
883    for_each(InputIterator first, InputIterator last, Function f);
884
885template<class InputIterator, class Size, class Function>
886    constexpr InputIterator     // constexpr in C++20
887    for_each_n(InputIterator first, Size n, Function f); // C++17
888
889template <class InputIterator, class T>
890    constexpr InputIterator     // constexpr in C++20
891    find(InputIterator first, InputIterator last, const T& value);
892
893template <class InputIterator, class Predicate>
894    constexpr InputIterator     // constexpr in C++20
895    find_if(InputIterator first, InputIterator last, Predicate pred);
896
897template<class InputIterator, class Predicate>
898    constexpr InputIterator     // constexpr in C++20
899    find_if_not(InputIterator first, InputIterator last, Predicate pred);
900
901template <class ForwardIterator1, class ForwardIterator2>
902    constexpr ForwardIterator1  // constexpr in C++20
903    find_end(ForwardIterator1 first1, ForwardIterator1 last1,
904             ForwardIterator2 first2, ForwardIterator2 last2);
905
906template <class ForwardIterator1, class ForwardIterator2, class BinaryPredicate>
907    constexpr ForwardIterator1  // constexpr in C++20
908    find_end(ForwardIterator1 first1, ForwardIterator1 last1,
909             ForwardIterator2 first2, ForwardIterator2 last2, BinaryPredicate pred);
910
911template <class ForwardIterator1, class ForwardIterator2>
912    constexpr ForwardIterator1  // constexpr in C++20
913    find_first_of(ForwardIterator1 first1, ForwardIterator1 last1,
914                  ForwardIterator2 first2, ForwardIterator2 last2);
915
916template <class ForwardIterator1, class ForwardIterator2, class BinaryPredicate>
917    constexpr ForwardIterator1  // constexpr in C++20
918    find_first_of(ForwardIterator1 first1, ForwardIterator1 last1,
919                  ForwardIterator2 first2, ForwardIterator2 last2, BinaryPredicate pred);
920
921template <class ForwardIterator>
922    constexpr ForwardIterator   // constexpr in C++20
923    adjacent_find(ForwardIterator first, ForwardIterator last);
924
925template <class ForwardIterator, class BinaryPredicate>
926    constexpr ForwardIterator   // constexpr in C++20
927    adjacent_find(ForwardIterator first, ForwardIterator last, BinaryPredicate pred);
928
929template <class InputIterator, class T>
930    constexpr typename iterator_traits<InputIterator>::difference_type  // constexpr in C++20
931    count(InputIterator first, InputIterator last, const T& value);
932
933template <class InputIterator, class Predicate>
934    constexpr typename iterator_traits<InputIterator>::difference_type // constexpr in C++20
935    count_if(InputIterator first, InputIterator last, Predicate pred);
936
937template <class InputIterator1, class InputIterator2>
938    constexpr pair<InputIterator1, InputIterator2>   // constexpr in C++20
939    mismatch(InputIterator1 first1, InputIterator1 last1, InputIterator2 first2);
940
941template <class InputIterator1, class InputIterator2>
942    constexpr pair<InputIterator1, InputIterator2>   // constexpr in C++20
943    mismatch(InputIterator1 first1, InputIterator1 last1,
944             InputIterator2 first2, InputIterator2 last2); // **C++14**
945
946template <class InputIterator1, class InputIterator2, class BinaryPredicate>
947    constexpr pair<InputIterator1, InputIterator2>   // constexpr in C++20
948    mismatch(InputIterator1 first1, InputIterator1 last1,
949             InputIterator2 first2, BinaryPredicate pred);
950
951template <class InputIterator1, class InputIterator2, class BinaryPredicate>
952    constexpr pair<InputIterator1, InputIterator2>   // constexpr in C++20
953    mismatch(InputIterator1 first1, InputIterator1 last1,
954             InputIterator2 first2, InputIterator2 last2,
955             BinaryPredicate pred); // **C++14**
956
957template <class InputIterator1, class InputIterator2>
958    constexpr bool      // constexpr in C++20
959    equal(InputIterator1 first1, InputIterator1 last1, InputIterator2 first2);
960
961template <class InputIterator1, class InputIterator2>
962    constexpr bool      // constexpr in C++20
963    equal(InputIterator1 first1, InputIterator1 last1,
964          InputIterator2 first2, InputIterator2 last2); // **C++14**
965
966template <class InputIterator1, class InputIterator2, class BinaryPredicate>
967    constexpr bool      // constexpr in C++20
968    equal(InputIterator1 first1, InputIterator1 last1,
969          InputIterator2 first2, BinaryPredicate pred);
970
971template <class InputIterator1, class InputIterator2, class BinaryPredicate>
972    constexpr bool      // constexpr in C++20
973    equal(InputIterator1 first1, InputIterator1 last1,
974          InputIterator2 first2, InputIterator2 last2,
975          BinaryPredicate pred); // **C++14**
976
977template<class ForwardIterator1, class ForwardIterator2>
978    constexpr bool      // constexpr in C++20
979    is_permutation(ForwardIterator1 first1, ForwardIterator1 last1,
980                   ForwardIterator2 first2);
981
982template<class ForwardIterator1, class ForwardIterator2>
983    constexpr bool      // constexpr in C++20
984    is_permutation(ForwardIterator1 first1, ForwardIterator1 last1,
985                   ForwardIterator2 first2, ForwardIterator2 last2); // **C++14**
986
987template<class ForwardIterator1, class ForwardIterator2, class BinaryPredicate>
988    constexpr bool      // constexpr in C++20
989    is_permutation(ForwardIterator1 first1, ForwardIterator1 last1,
990                   ForwardIterator2 first2, BinaryPredicate pred);
991
992template<class ForwardIterator1, class ForwardIterator2, class BinaryPredicate>
993    constexpr bool      // constexpr in C++20
994    is_permutation(ForwardIterator1 first1, ForwardIterator1 last1,
995                   ForwardIterator2 first2, ForwardIterator2 last2,
996                   BinaryPredicate pred);  // **C++14**
997
998template <class ForwardIterator1, class ForwardIterator2>
999    constexpr ForwardIterator1      // constexpr in C++20
1000    search(ForwardIterator1 first1, ForwardIterator1 last1,
1001           ForwardIterator2 first2, ForwardIterator2 last2);
1002
1003template <class ForwardIterator1, class ForwardIterator2, class BinaryPredicate>
1004    constexpr ForwardIterator1      // constexpr in C++20
1005    search(ForwardIterator1 first1, ForwardIterator1 last1,
1006           ForwardIterator2 first2, ForwardIterator2 last2, BinaryPredicate pred);
1007
1008template <class ForwardIterator, class Size, class T>
1009    constexpr ForwardIterator       // constexpr in C++20
1010    search_n(ForwardIterator first, ForwardIterator last, Size count, const T& value);
1011
1012template <class ForwardIterator, class Size, class T, class BinaryPredicate>
1013    constexpr ForwardIterator       // constexpr in C++20
1014    search_n(ForwardIterator first, ForwardIterator last,
1015             Size count, const T& value, BinaryPredicate pred);
1016
1017template <class InputIterator, class OutputIterator>
1018    constexpr OutputIterator      // constexpr in C++20
1019    copy(InputIterator first, InputIterator last, OutputIterator result);
1020
1021template<class InputIterator, class OutputIterator, class Predicate>
1022    constexpr OutputIterator      // constexpr in C++20
1023    copy_if(InputIterator first, InputIterator last,
1024            OutputIterator result, Predicate pred);
1025
1026template<class InputIterator, class Size, class OutputIterator>
1027    constexpr OutputIterator      // constexpr in C++20
1028    copy_n(InputIterator first, Size n, OutputIterator result);
1029
1030template <class BidirectionalIterator1, class BidirectionalIterator2>
1031    constexpr BidirectionalIterator2      // constexpr in C++20
1032    copy_backward(BidirectionalIterator1 first, BidirectionalIterator1 last,
1033                  BidirectionalIterator2 result);
1034
1035// [alg.move], move
1036template<class InputIterator, class OutputIterator>
1037    constexpr OutputIterator move(InputIterator first, InputIterator last,
1038                                OutputIterator result);
1039
1040template<class BidirectionalIterator1, class BidirectionalIterator2>
1041    constexpr BidirectionalIterator2
1042    move_backward(BidirectionalIterator1 first, BidirectionalIterator1 last,
1043                  BidirectionalIterator2 result);
1044
1045template <class ForwardIterator1, class ForwardIterator2>
1046    constexpr ForwardIterator2    // constexpr in C++20
1047    swap_ranges(ForwardIterator1 first1, ForwardIterator1 last1, ForwardIterator2 first2);
1048
1049namespace ranges {
1050    template<class I1, class I2>
1051    using swap_ranges_result = in_in_result<I1, I2>;
1052
1053template<input_iterator I1, sentinel_for<I1> S1, input_iterator I2, sentinel_for<I2> S2>
1054        requires indirectly_swappable<I1, I2>
1055    constexpr ranges::swap_ranges_result<I1, I2>
1056        swap_ranges(I1 first1, S1 last1, I2 first2, S2 last2);
1057
1058template<input_range R1, input_range R2>
1059        requires indirectly_swappable<iterator_t<R1>, iterator_t<R2>>
1060    constexpr ranges::swap_ranges_result<borrowed_iterator_t<R1>, borrowed_iterator_t<R2>>
1061        swap_ranges(R1&& r1, R2&& r2);
1062}
1063
1064template <class ForwardIterator1, class ForwardIterator2>
1065    constexpr void                // constexpr in C++20
1066    iter_swap(ForwardIterator1 a, ForwardIterator2 b);
1067
1068template <class InputIterator, class OutputIterator, class UnaryOperation>
1069    constexpr OutputIterator      // constexpr in C++20
1070    transform(InputIterator first, InputIterator last, OutputIterator result, UnaryOperation op);
1071
1072template <class InputIterator1, class InputIterator2, class OutputIterator, class BinaryOperation>
1073    constexpr OutputIterator      // constexpr in C++20
1074    transform(InputIterator1 first1, InputIterator1 last1, InputIterator2 first2,
1075              OutputIterator result, BinaryOperation binary_op);
1076
1077template <class ForwardIterator, class T>
1078    constexpr void      // constexpr in C++20
1079    replace(ForwardIterator first, ForwardIterator last, const T& old_value, const T& new_value);
1080
1081template <class ForwardIterator, class Predicate, class T>
1082    constexpr void      // constexpr in C++20
1083    replace_if(ForwardIterator first, ForwardIterator last, Predicate pred, const T& new_value);
1084
1085template <class InputIterator, class OutputIterator, class T>
1086    constexpr OutputIterator      // constexpr in C++20
1087    replace_copy(InputIterator first, InputIterator last, OutputIterator result,
1088                 const T& old_value, const T& new_value);
1089
1090template <class InputIterator, class OutputIterator, class Predicate, class T>
1091    constexpr OutputIterator      // constexpr in C++20
1092    replace_copy_if(InputIterator first, InputIterator last, OutputIterator result, Predicate pred, const T& new_value);
1093
1094template <class ForwardIterator, class T>
1095    constexpr void      // constexpr in C++20
1096    fill(ForwardIterator first, ForwardIterator last, const T& value);
1097
1098template <class OutputIterator, class Size, class T>
1099    constexpr OutputIterator      // constexpr in C++20
1100    fill_n(OutputIterator first, Size n, const T& value);
1101
1102template <class ForwardIterator, class Generator>
1103    constexpr void      // constexpr in C++20
1104    generate(ForwardIterator first, ForwardIterator last, Generator gen);
1105
1106template <class OutputIterator, class Size, class Generator>
1107    constexpr OutputIterator      // constexpr in C++20
1108    generate_n(OutputIterator first, Size n, Generator gen);
1109
1110template <class ForwardIterator, class T>
1111    constexpr ForwardIterator     // constexpr in C++20
1112    remove(ForwardIterator first, ForwardIterator last, const T& value);
1113
1114template <class ForwardIterator, class Predicate>
1115    constexpr ForwardIterator     // constexpr in C++20
1116    remove_if(ForwardIterator first, ForwardIterator last, Predicate pred);
1117
1118template <class InputIterator, class OutputIterator, class T>
1119    constexpr OutputIterator     // constexpr in C++20
1120    remove_copy(InputIterator first, InputIterator last, OutputIterator result, const T& value);
1121
1122template <class InputIterator, class OutputIterator, class Predicate>
1123    constexpr OutputIterator     // constexpr in C++20
1124    remove_copy_if(InputIterator first, InputIterator last, OutputIterator result, Predicate pred);
1125
1126template <class ForwardIterator>
1127    constexpr ForwardIterator    // constexpr in C++20
1128    unique(ForwardIterator first, ForwardIterator last);
1129
1130template <class ForwardIterator, class BinaryPredicate>
1131    constexpr ForwardIterator    // constexpr in C++20
1132    unique(ForwardIterator first, ForwardIterator last, BinaryPredicate pred);
1133
1134template <class InputIterator, class OutputIterator>
1135    constexpr OutputIterator     // constexpr in C++20
1136    unique_copy(InputIterator first, InputIterator last, OutputIterator result);
1137
1138template <class InputIterator, class OutputIterator, class BinaryPredicate>
1139    constexpr OutputIterator     // constexpr in C++20
1140    unique_copy(InputIterator first, InputIterator last, OutputIterator result, BinaryPredicate pred);
1141
1142template <class BidirectionalIterator>
1143    constexpr void               // constexpr in C++20
1144    reverse(BidirectionalIterator first, BidirectionalIterator last);
1145
1146template <class BidirectionalIterator, class OutputIterator>
1147    constexpr OutputIterator       // constexpr in C++20
1148    reverse_copy(BidirectionalIterator first, BidirectionalIterator last, OutputIterator result);
1149
1150template <class ForwardIterator>
1151    constexpr ForwardIterator      // constexpr in C++20
1152    rotate(ForwardIterator first, ForwardIterator middle, ForwardIterator last);
1153
1154template <class ForwardIterator, class OutputIterator>
1155    constexpr OutputIterator       // constexpr in C++20
1156    rotate_copy(ForwardIterator first, ForwardIterator middle, ForwardIterator last, OutputIterator result);
1157
1158template <class RandomAccessIterator>
1159    void
1160    random_shuffle(RandomAccessIterator first, RandomAccessIterator last); // deprecated in C++14, removed in C++17
1161
1162template <class RandomAccessIterator, class RandomNumberGenerator>
1163    void
1164    random_shuffle(RandomAccessIterator first, RandomAccessIterator last,
1165                   RandomNumberGenerator& rand);  // deprecated in C++14, removed in C++17
1166
1167template<class PopulationIterator, class SampleIterator,
1168         class Distance, class UniformRandomBitGenerator>
1169    SampleIterator sample(PopulationIterator first, PopulationIterator last,
1170                          SampleIterator out, Distance n,
1171                          UniformRandomBitGenerator&& g); // C++17
1172
1173template<class RandomAccessIterator, class UniformRandomNumberGenerator>
1174    void shuffle(RandomAccessIterator first, RandomAccessIterator last,
1175                 UniformRandomNumberGenerator&& g);
1176
1177template<class ForwardIterator>
1178  constexpr ForwardIterator
1179    shift_left(ForwardIterator first, ForwardIterator last,
1180               typename iterator_traits<ForwardIterator>::difference_type n); // C++20
1181
1182template<class ForwardIterator>
1183  constexpr ForwardIterator
1184    shift_right(ForwardIterator first, ForwardIterator last,
1185                typename iterator_traits<ForwardIterator>::difference_type n); // C++20
1186
1187template <class InputIterator, class Predicate>
1188    constexpr bool  // constexpr in C++20
1189    is_partitioned(InputIterator first, InputIterator last, Predicate pred);
1190
1191template <class ForwardIterator, class Predicate>
1192    constexpr ForwardIterator  // constexpr in C++20
1193    partition(ForwardIterator first, ForwardIterator last, Predicate pred);
1194
1195template <class InputIterator, class OutputIterator1,
1196          class OutputIterator2, class Predicate>
1197    constexpr pair<OutputIterator1, OutputIterator2>   // constexpr in C++20
1198    partition_copy(InputIterator first, InputIterator last,
1199                   OutputIterator1 out_true, OutputIterator2 out_false,
1200                   Predicate pred);
1201
1202template <class ForwardIterator, class Predicate>
1203    ForwardIterator
1204    stable_partition(ForwardIterator first, ForwardIterator last, Predicate pred);
1205
1206template<class ForwardIterator, class Predicate>
1207    constexpr ForwardIterator  // constexpr in C++20
1208    partition_point(ForwardIterator first, ForwardIterator last, Predicate pred);
1209
1210template <class ForwardIterator>
1211    constexpr bool  // constexpr in C++20
1212    is_sorted(ForwardIterator first, ForwardIterator last);
1213
1214template <class ForwardIterator, class Compare>
1215    constexpr bool  // constexpr in C++20
1216    is_sorted(ForwardIterator first, ForwardIterator last, Compare comp);
1217
1218template<class ForwardIterator>
1219    constexpr ForwardIterator    // constexpr in C++20
1220    is_sorted_until(ForwardIterator first, ForwardIterator last);
1221
1222template <class ForwardIterator, class Compare>
1223    constexpr ForwardIterator    // constexpr in C++20
1224    is_sorted_until(ForwardIterator first, ForwardIterator last, Compare comp);
1225
1226template <class RandomAccessIterator>
1227    constexpr void               // constexpr in C++20
1228    sort(RandomAccessIterator first, RandomAccessIterator last);
1229
1230template <class RandomAccessIterator, class Compare>
1231    constexpr void               // constexpr in C++20
1232    sort(RandomAccessIterator first, RandomAccessIterator last, Compare comp);
1233
1234template <class RandomAccessIterator>
1235    void
1236    stable_sort(RandomAccessIterator first, RandomAccessIterator last);
1237
1238template <class RandomAccessIterator, class Compare>
1239    void
1240    stable_sort(RandomAccessIterator first, RandomAccessIterator last, Compare comp);
1241
1242template <class RandomAccessIterator>
1243    constexpr void                    // constexpr in C++20
1244    partial_sort(RandomAccessIterator first, RandomAccessIterator middle, RandomAccessIterator last);
1245
1246template <class RandomAccessIterator, class Compare>
1247    constexpr void                    // constexpr in C++20
1248    partial_sort(RandomAccessIterator first, RandomAccessIterator middle, RandomAccessIterator last, Compare comp);
1249
1250template <class InputIterator, class RandomAccessIterator>
1251    constexpr RandomAccessIterator    // constexpr in C++20
1252    partial_sort_copy(InputIterator first, InputIterator last,
1253                      RandomAccessIterator result_first, RandomAccessIterator result_last);
1254
1255template <class InputIterator, class RandomAccessIterator, class Compare>
1256    constexpr RandomAccessIterator    // constexpr in C++20
1257    partial_sort_copy(InputIterator first, InputIterator last,
1258                      RandomAccessIterator result_first, RandomAccessIterator result_last, Compare comp);
1259
1260template <class RandomAccessIterator>
1261    constexpr void                    // constexpr in C++20
1262    nth_element(RandomAccessIterator first, RandomAccessIterator nth, RandomAccessIterator last);
1263
1264template <class RandomAccessIterator, class Compare>
1265    constexpr void                    // constexpr in C++20
1266    nth_element(RandomAccessIterator first, RandomAccessIterator nth, RandomAccessIterator last, Compare comp);
1267
1268template <class ForwardIterator, class T>
1269    constexpr ForwardIterator                         // constexpr in C++20
1270    lower_bound(ForwardIterator first, ForwardIterator last, const T& value);
1271
1272template <class ForwardIterator, class T, class Compare>
1273    constexpr ForwardIterator                         // constexpr in C++20
1274    lower_bound(ForwardIterator first, ForwardIterator last, const T& value, Compare comp);
1275
1276template <class ForwardIterator, class T>
1277    constexpr ForwardIterator                         // constexpr in C++20
1278    upper_bound(ForwardIterator first, ForwardIterator last, const T& value);
1279
1280template <class ForwardIterator, class T, class Compare>
1281    constexpr ForwardIterator                         // constexpr in C++20
1282    upper_bound(ForwardIterator first, ForwardIterator last, const T& value, Compare comp);
1283
1284template <class ForwardIterator, class T>
1285    constexpr pair<ForwardIterator, ForwardIterator>  // constexpr in C++20
1286    equal_range(ForwardIterator first, ForwardIterator last, const T& value);
1287
1288template <class ForwardIterator, class T, class Compare>
1289    constexpr pair<ForwardIterator, ForwardIterator>  // constexpr in C++20
1290    equal_range(ForwardIterator first, ForwardIterator last, const T& value, Compare comp);
1291
1292template <class ForwardIterator, class T>
1293    constexpr bool                                    // constexpr in C++20
1294    binary_search(ForwardIterator first, ForwardIterator last, const T& value);
1295
1296template <class ForwardIterator, class T, class Compare>
1297    constexpr bool                                    // constexpr in C++20
1298    binary_search(ForwardIterator first, ForwardIterator last, const T& value, Compare comp);
1299
1300template <class InputIterator1, class InputIterator2, class OutputIterator>
1301    constexpr OutputIterator                          // constexpr in C++20
1302    merge(InputIterator1 first1, InputIterator1 last1,
1303          InputIterator2 first2, InputIterator2 last2, OutputIterator result);
1304
1305template <class InputIterator1, class InputIterator2, class OutputIterator, class Compare>
1306    constexpr OutputIterator                          // constexpr in C++20
1307    merge(InputIterator1 first1, InputIterator1 last1,
1308          InputIterator2 first2, InputIterator2 last2, OutputIterator result, Compare comp);
1309
1310template <class BidirectionalIterator>
1311    void
1312    inplace_merge(BidirectionalIterator first, BidirectionalIterator middle, BidirectionalIterator last);
1313
1314template <class BidirectionalIterator, class Compare>
1315    void
1316    inplace_merge(BidirectionalIterator first, BidirectionalIterator middle, BidirectionalIterator last, Compare comp);
1317
1318template <class InputIterator1, class InputIterator2>
1319    constexpr bool                                    // constexpr in C++20
1320    includes(InputIterator1 first1, InputIterator1 last1, InputIterator2 first2, InputIterator2 last2);
1321
1322template <class InputIterator1, class InputIterator2, class Compare>
1323    constexpr bool                                    // constexpr in C++20
1324    includes(InputIterator1 first1, InputIterator1 last1, InputIterator2 first2, InputIterator2 last2, Compare comp);
1325
1326template <class InputIterator1, class InputIterator2, class OutputIterator>
1327    constexpr OutputIterator                          // constexpr in C++20
1328    set_union(InputIterator1 first1, InputIterator1 last1,
1329              InputIterator2 first2, InputIterator2 last2, OutputIterator result);
1330
1331template <class InputIterator1, class InputIterator2, class OutputIterator, class Compare>
1332    constexpr OutputIterator                          // constexpr in C++20
1333    set_union(InputIterator1 first1, InputIterator1 last1,
1334              InputIterator2 first2, InputIterator2 last2, OutputIterator result, Compare comp);
1335
1336template <class InputIterator1, class InputIterator2, class OutputIterator>
1337    constexpr OutputIterator                         // constexpr in C++20
1338    set_intersection(InputIterator1 first1, InputIterator1 last1,
1339                     InputIterator2 first2, InputIterator2 last2, OutputIterator result);
1340
1341template <class InputIterator1, class InputIterator2, class OutputIterator, class Compare>
1342    constexpr OutputIterator                         // constexpr in C++20
1343    set_intersection(InputIterator1 first1, InputIterator1 last1,
1344                     InputIterator2 first2, InputIterator2 last2, OutputIterator result, Compare comp);
1345
1346template <class InputIterator1, class InputIterator2, class OutputIterator>
1347    constexpr OutputIterator                         // constexpr in C++20
1348    set_difference(InputIterator1 first1, InputIterator1 last1,
1349                   InputIterator2 first2, InputIterator2 last2, OutputIterator result);
1350
1351template <class InputIterator1, class InputIterator2, class OutputIterator, class Compare>
1352    constexpr OutputIterator                         // constexpr in C++20
1353    set_difference(InputIterator1 first1, InputIterator1 last1,
1354                   InputIterator2 first2, InputIterator2 last2, OutputIterator result, Compare comp);
1355
1356template <class InputIterator1, class InputIterator2, class OutputIterator>
1357    constexpr OutputIterator                         // constexpr in C++20
1358    set_symmetric_difference(InputIterator1 first1, InputIterator1 last1,
1359                             InputIterator2 first2, InputIterator2 last2, OutputIterator result);
1360
1361template <class InputIterator1, class InputIterator2, class OutputIterator, class Compare>
1362    constexpr OutputIterator                         // constexpr in C++20
1363    set_symmetric_difference(InputIterator1 first1, InputIterator1 last1,
1364                             InputIterator2 first2, InputIterator2 last2, OutputIterator result, Compare comp);
1365
1366template <class RandomAccessIterator>
1367    constexpr void                                   // constexpr in C++20
1368    push_heap(RandomAccessIterator first, RandomAccessIterator last);
1369
1370template <class RandomAccessIterator, class Compare>
1371    constexpr void                                   // constexpr in C++20
1372    push_heap(RandomAccessIterator first, RandomAccessIterator last, Compare comp);
1373
1374template <class RandomAccessIterator>
1375    constexpr void                                   // constexpr in C++20
1376    pop_heap(RandomAccessIterator first, RandomAccessIterator last);
1377
1378template <class RandomAccessIterator, class Compare>
1379    constexpr void                                   // constexpr in C++20
1380    pop_heap(RandomAccessIterator first, RandomAccessIterator last, Compare comp);
1381
1382template <class RandomAccessIterator>
1383    constexpr void                                   // constexpr in C++20
1384    make_heap(RandomAccessIterator first, RandomAccessIterator last);
1385
1386template <class RandomAccessIterator, class Compare>
1387    constexpr void                                   // constexpr in C++20
1388    make_heap(RandomAccessIterator first, RandomAccessIterator last, Compare comp);
1389
1390template <class RandomAccessIterator>
1391    constexpr void                                   // constexpr in C++20
1392    sort_heap(RandomAccessIterator first, RandomAccessIterator last);
1393
1394template <class RandomAccessIterator, class Compare>
1395    constexpr void                                   // constexpr in C++20
1396    sort_heap(RandomAccessIterator first, RandomAccessIterator last, Compare comp);
1397
1398template <class RandomAccessIterator>
1399    constexpr bool   // constexpr in C++20
1400    is_heap(RandomAccessIterator first, RandomAccessiterator last);
1401
1402template <class RandomAccessIterator, class Compare>
1403    constexpr bool   // constexpr in C++20
1404    is_heap(RandomAccessIterator first, RandomAccessiterator last, Compare comp);
1405
1406template <class RandomAccessIterator>
1407    constexpr RandomAccessIterator   // constexpr in C++20
1408    is_heap_until(RandomAccessIterator first, RandomAccessiterator last);
1409
1410template <class RandomAccessIterator, class Compare>
1411    constexpr RandomAccessIterator   // constexpr in C++20
1412    is_heap_until(RandomAccessIterator first, RandomAccessiterator last, Compare comp);
1413
1414template <class ForwardIterator>
1415    constexpr ForwardIterator        // constexpr in C++14
1416    min_element(ForwardIterator first, ForwardIterator last);
1417
1418template <class ForwardIterator, class Compare>
1419    constexpr ForwardIterator        // constexpr in C++14
1420    min_element(ForwardIterator first, ForwardIterator last, Compare comp);
1421
1422template <class T>
1423    constexpr const T&               // constexpr in C++14
1424    min(const T& a, const T& b);
1425
1426template <class T, class Compare>
1427    constexpr const T&               // constexpr in C++14
1428    min(const T& a, const T& b, Compare comp);
1429
1430template<class T>
1431    constexpr T                      // constexpr in C++14
1432    min(initializer_list<T> t);
1433
1434template<class T, class Compare>
1435    constexpr T                      // constexpr in C++14
1436    min(initializer_list<T> t, Compare comp);
1437
1438template<class T>
1439    constexpr const T& clamp(const T& v, const T& lo, const T& hi);               // C++17
1440
1441template<class T, class Compare>
1442    constexpr const T& clamp(const T& v, const T& lo, const T& hi, Compare comp); // C++17
1443
1444template <class ForwardIterator>
1445    constexpr ForwardIterator        // constexpr in C++14
1446    max_element(ForwardIterator first, ForwardIterator last);
1447
1448template <class ForwardIterator, class Compare>
1449    constexpr ForwardIterator        // constexpr in C++14
1450    max_element(ForwardIterator first, ForwardIterator last, Compare comp);
1451
1452template <class T>
1453    constexpr const T&               // constexpr in C++14
1454    max(const T& a, const T& b);
1455
1456template <class T, class Compare>
1457    constexpr const T&               // constexpr in C++14
1458    max(const T& a, const T& b, Compare comp);
1459
1460template<class T>
1461    constexpr T                      // constexpr in C++14
1462    max(initializer_list<T> t);
1463
1464template<class T, class Compare>
1465    constexpr T                      // constexpr in C++14
1466    max(initializer_list<T> t, Compare comp);
1467
1468template<class ForwardIterator>
1469    constexpr pair<ForwardIterator, ForwardIterator>  // constexpr in C++14
1470    minmax_element(ForwardIterator first, ForwardIterator last);
1471
1472template<class ForwardIterator, class Compare>
1473    constexpr pair<ForwardIterator, ForwardIterator>  // constexpr in C++14
1474    minmax_element(ForwardIterator first, ForwardIterator last, Compare comp);
1475
1476template<class T>
1477    constexpr pair<const T&, const T&>  // constexpr in C++14
1478    minmax(const T& a, const T& b);
1479
1480template<class T, class Compare>
1481    constexpr pair<const T&, const T&>  // constexpr in C++14
1482    minmax(const T& a, const T& b, Compare comp);
1483
1484template<class T>
1485    constexpr pair<T, T>                // constexpr in C++14
1486    minmax(initializer_list<T> t);
1487
1488template<class T, class Compare>
1489    constexpr pair<T, T>                // constexpr in C++14
1490    minmax(initializer_list<T> t, Compare comp);
1491
1492template <class InputIterator1, class InputIterator2>
1493    constexpr bool     // constexpr in C++20
1494    lexicographical_compare(InputIterator1 first1, InputIterator1 last1, InputIterator2 first2, InputIterator2 last2);
1495
1496template <class InputIterator1, class InputIterator2, class Compare>
1497    constexpr bool     // constexpr in C++20
1498    lexicographical_compare(InputIterator1 first1, InputIterator1 last1,
1499                            InputIterator2 first2, InputIterator2 last2, Compare comp);
1500
1501template <class BidirectionalIterator>
1502    constexpr bool     // constexpr in C++20
1503    next_permutation(BidirectionalIterator first, BidirectionalIterator last);
1504
1505template <class BidirectionalIterator, class Compare>
1506    constexpr bool     // constexpr in C++20
1507    next_permutation(BidirectionalIterator first, BidirectionalIterator last, Compare comp);
1508
1509template <class BidirectionalIterator>
1510    constexpr bool     // constexpr in C++20
1511    prev_permutation(BidirectionalIterator first, BidirectionalIterator last);
1512
1513template <class BidirectionalIterator, class Compare>
1514    constexpr bool     // constexpr in C++20
1515    prev_permutation(BidirectionalIterator first, BidirectionalIterator last, Compare comp);
1516}  // std
1517
1518*/
1519
1520#include <__assert> // all public C++ headers provide the assertion handler
1521#include <__bits>
1522#include <__config>
1523#include <__debug>
1524#include <cstddef>
1525#include <cstring>
1526#include <memory>
1527#include <type_traits>
1528#include <version>
1529
1530#include <__algorithm/adjacent_find.h>
1531#include <__algorithm/all_of.h>
1532#include <__algorithm/any_of.h>
1533#include <__algorithm/binary_search.h>
1534#include <__algorithm/clamp.h>
1535#include <__algorithm/comp.h>
1536#include <__algorithm/comp_ref_type.h>
1537#include <__algorithm/copy.h>
1538#include <__algorithm/copy_backward.h>
1539#include <__algorithm/copy_if.h>
1540#include <__algorithm/copy_n.h>
1541#include <__algorithm/count.h>
1542#include <__algorithm/count_if.h>
1543#include <__algorithm/equal.h>
1544#include <__algorithm/equal_range.h>
1545#include <__algorithm/fill.h>
1546#include <__algorithm/fill_n.h>
1547#include <__algorithm/find.h>
1548#include <__algorithm/find_end.h>
1549#include <__algorithm/find_first_of.h>
1550#include <__algorithm/find_if.h>
1551#include <__algorithm/find_if_not.h>
1552#include <__algorithm/for_each.h>
1553#include <__algorithm/for_each_n.h>
1554#include <__algorithm/generate.h>
1555#include <__algorithm/generate_n.h>
1556#include <__algorithm/half_positive.h>
1557#include <__algorithm/in_found_result.h>
1558#include <__algorithm/in_fun_result.h>
1559#include <__algorithm/in_in_out_result.h>
1560#include <__algorithm/in_in_result.h>
1561#include <__algorithm/in_out_out_result.h>
1562#include <__algorithm/in_out_result.h>
1563#include <__algorithm/includes.h>
1564#include <__algorithm/inplace_merge.h>
1565#include <__algorithm/is_heap.h>
1566#include <__algorithm/is_heap_until.h>
1567#include <__algorithm/is_partitioned.h>
1568#include <__algorithm/is_permutation.h>
1569#include <__algorithm/is_sorted.h>
1570#include <__algorithm/is_sorted_until.h>
1571#include <__algorithm/iter_swap.h>
1572#include <__algorithm/lexicographical_compare.h>
1573#include <__algorithm/lower_bound.h>
1574#include <__algorithm/make_heap.h>
1575#include <__algorithm/max.h>
1576#include <__algorithm/max_element.h>
1577#include <__algorithm/merge.h>
1578#include <__algorithm/min.h>
1579#include <__algorithm/min_element.h>
1580#include <__algorithm/min_max_result.h>
1581#include <__algorithm/minmax.h>
1582#include <__algorithm/minmax_element.h>
1583#include <__algorithm/mismatch.h>
1584#include <__algorithm/move.h>
1585#include <__algorithm/move_backward.h>
1586#include <__algorithm/next_permutation.h>
1587#include <__algorithm/none_of.h>
1588#include <__algorithm/nth_element.h>
1589#include <__algorithm/partial_sort.h>
1590#include <__algorithm/partial_sort_copy.h>
1591#include <__algorithm/partition.h>
1592#include <__algorithm/partition_copy.h>
1593#include <__algorithm/partition_point.h>
1594#include <__algorithm/pop_heap.h>
1595#include <__algorithm/prev_permutation.h>
1596#include <__algorithm/push_heap.h>
1597#include <__algorithm/ranges_adjacent_find.h>
1598#include <__algorithm/ranges_all_of.h>
1599#include <__algorithm/ranges_any_of.h>
1600#include <__algorithm/ranges_binary_search.h>
1601#include <__algorithm/ranges_copy.h>
1602#include <__algorithm/ranges_copy_backward.h>
1603#include <__algorithm/ranges_copy_if.h>
1604#include <__algorithm/ranges_copy_n.h>
1605#include <__algorithm/ranges_count.h>
1606#include <__algorithm/ranges_count_if.h>
1607#include <__algorithm/ranges_equal.h>
1608#include <__algorithm/ranges_equal_range.h>
1609#include <__algorithm/ranges_fill.h>
1610#include <__algorithm/ranges_fill_n.h>
1611#include <__algorithm/ranges_find.h>
1612#include <__algorithm/ranges_find_end.h>
1613#include <__algorithm/ranges_find_first_of.h>
1614#include <__algorithm/ranges_find_if.h>
1615#include <__algorithm/ranges_find_if_not.h>
1616#include <__algorithm/ranges_for_each.h>
1617#include <__algorithm/ranges_for_each_n.h>
1618#include <__algorithm/ranges_generate.h>
1619#include <__algorithm/ranges_generate_n.h>
1620#include <__algorithm/ranges_includes.h>
1621#include <__algorithm/ranges_inplace_merge.h>
1622#include <__algorithm/ranges_is_heap.h>
1623#include <__algorithm/ranges_is_heap_until.h>
1624#include <__algorithm/ranges_is_partitioned.h>
1625#include <__algorithm/ranges_is_sorted.h>
1626#include <__algorithm/ranges_is_sorted_until.h>
1627#include <__algorithm/ranges_lexicographical_compare.h>
1628#include <__algorithm/ranges_lower_bound.h>
1629#include <__algorithm/ranges_make_heap.h>
1630#include <__algorithm/ranges_max.h>
1631#include <__algorithm/ranges_max_element.h>
1632#include <__algorithm/ranges_merge.h>
1633#include <__algorithm/ranges_min.h>
1634#include <__algorithm/ranges_min_element.h>
1635#include <__algorithm/ranges_minmax.h>
1636#include <__algorithm/ranges_minmax_element.h>
1637#include <__algorithm/ranges_mismatch.h>
1638#include <__algorithm/ranges_move.h>
1639#include <__algorithm/ranges_move_backward.h>
1640#include <__algorithm/ranges_none_of.h>
1641#include <__algorithm/ranges_nth_element.h>
1642#include <__algorithm/ranges_partial_sort.h>
1643#include <__algorithm/ranges_partition.h>
1644#include <__algorithm/ranges_partition_copy.h>
1645#include <__algorithm/ranges_partition_point.h>
1646#include <__algorithm/ranges_pop_heap.h>
1647#include <__algorithm/ranges_push_heap.h>
1648#include <__algorithm/ranges_remove.h>
1649#include <__algorithm/ranges_remove_if.h>
1650#include <__algorithm/ranges_replace.h>
1651#include <__algorithm/ranges_replace_if.h>
1652#include <__algorithm/ranges_reverse.h>
1653#include <__algorithm/ranges_reverse_copy.h>
1654#include <__algorithm/ranges_rotate_copy.h>
1655#include <__algorithm/ranges_search.h>
1656#include <__algorithm/ranges_search_n.h>
1657#include <__algorithm/ranges_set_difference.h>
1658#include <__algorithm/ranges_set_intersection.h>
1659#include <__algorithm/ranges_set_symmetric_difference.h>
1660#include <__algorithm/ranges_set_union.h>
1661#include <__algorithm/ranges_shuffle.h>
1662#include <__algorithm/ranges_sort.h>
1663#include <__algorithm/ranges_sort_heap.h>
1664#include <__algorithm/ranges_stable_partition.h>
1665#include <__algorithm/ranges_stable_sort.h>
1666#include <__algorithm/ranges_swap_ranges.h>
1667#include <__algorithm/ranges_transform.h>
1668#include <__algorithm/ranges_upper_bound.h>
1669#include <__algorithm/remove.h>
1670#include <__algorithm/remove_copy.h>
1671#include <__algorithm/remove_copy_if.h>
1672#include <__algorithm/remove_if.h>
1673#include <__algorithm/replace.h>
1674#include <__algorithm/replace_copy.h>
1675#include <__algorithm/replace_copy_if.h>
1676#include <__algorithm/replace_if.h>
1677#include <__algorithm/reverse.h>
1678#include <__algorithm/reverse_copy.h>
1679#include <__algorithm/rotate.h>
1680#include <__algorithm/rotate_copy.h>
1681#include <__algorithm/sample.h>
1682#include <__algorithm/search.h>
1683#include <__algorithm/search_n.h>
1684#include <__algorithm/set_difference.h>
1685#include <__algorithm/set_intersection.h>
1686#include <__algorithm/set_symmetric_difference.h>
1687#include <__algorithm/set_union.h>
1688#include <__algorithm/shift_left.h>
1689#include <__algorithm/shift_right.h>
1690#include <__algorithm/shuffle.h>
1691#include <__algorithm/sift_down.h>
1692#include <__algorithm/sort.h>
1693#include <__algorithm/sort_heap.h>
1694#include <__algorithm/stable_partition.h>
1695#include <__algorithm/stable_sort.h>
1696#include <__algorithm/swap_ranges.h>
1697#include <__algorithm/transform.h>
1698#include <__algorithm/unique.h>
1699#include <__algorithm/unique_copy.h>
1700#include <__algorithm/unwrap_iter.h>
1701#include <__algorithm/upper_bound.h>
1702
1703#ifndef _LIBCPP_REMOVE_TRANSITIVE_INCLUDES
1704#  include <chrono>
1705#  include <iterator>
1706#  include <utility>
1707#endif
1708
1709// standard-mandated includes
1710#include <initializer_list>
1711
1712#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
1713#  pragma GCC system_header
1714#endif
1715
1716#if defined(_LIBCPP_HAS_PARALLEL_ALGORITHMS) && _LIBCPP_STD_VER >= 17
1717#   include <__pstl_algorithm>
1718#endif
1719
1720#endif // _LIBCPP_ALGORITHM
1721