1 // Concepts and traits for use with iterators -*- C++ -*-
2 
3 // Copyright (C) 2019-2021 Free Software Foundation, Inc.
4 //
5 // This file is part of the GNU ISO C++ Library.  This library is free
6 // software; you can redistribute it and/or modify it under the
7 // terms of the GNU General Public License as published by the
8 // Free Software Foundation; either version 3, or (at your option)
9 // any later version.
10 
11 // This library is distributed in the hope that it will be useful,
12 // but WITHOUT ANY WARRANTY; without even the implied warranty of
13 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
14 // GNU General Public License for more details.
15 
16 // Under Section 7 of GPL version 3, you are granted additional
17 // permissions described in the GCC Runtime Library Exception, version
18 // 3.1, as published by the Free Software Foundation.
19 
20 // You should have received a copy of the GNU General Public License and
21 // a copy of the GCC Runtime Library Exception along with this program;
22 // see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
23 // <http://www.gnu.org/licenses/>.
24 
25 /** @file bits/iterator_concepts.h
26  *  This is an internal header file, included by other library headers.
27  *  Do not attempt to use it directly. @headername{iterator}
28  */
29 
30 #ifndef _ITERATOR_CONCEPTS_H
31 #define _ITERATOR_CONCEPTS_H 1
32 
33 #pragma GCC system_header
34 
35 #include <concepts>
36 #include <bits/ptr_traits.h>	// to_address
37 #include <bits/ranges_cmp.h>	// identity, ranges::less
38 
39 #if __cpp_lib_concepts
_GLIBCXX_VISIBILITY(default)40 namespace std _GLIBCXX_VISIBILITY(default)
41 {
42 _GLIBCXX_BEGIN_NAMESPACE_VERSION
43 
44   struct input_iterator_tag;
45   struct output_iterator_tag;
46   struct forward_iterator_tag;
47   struct bidirectional_iterator_tag;
48   struct random_access_iterator_tag;
49   struct contiguous_iterator_tag;
50 
51   template<typename _Iterator>
52     struct iterator_traits;
53 
54   template<typename _Tp> requires is_object_v<_Tp>
55     struct iterator_traits<_Tp*>;
56 
57   template<typename _Iterator, typename>
58     struct __iterator_traits;
59 
60   namespace __detail
61   {
62     template<typename _Tp>
63       using __with_ref = _Tp&;
64 
65     template<typename _Tp>
66       concept __can_reference = requires { typename __with_ref<_Tp>; };
67 
68     template<typename _Tp>
69       concept __dereferenceable = requires(_Tp& __t)
70 	{
71 	  { *__t } -> __can_reference;
72 	};
73   } // namespace __detail
74 
75   template<__detail::__dereferenceable _Tp>
76     using iter_reference_t = decltype(*std::declval<_Tp&>());
77 
78   namespace ranges
79   {
80     namespace __cust_imove
81     {
82       void iter_move();
83 
84       template<typename _Tp>
85 	concept __adl_imove
86 	  = (std::__detail::__class_or_enum<remove_reference_t<_Tp>>)
87 	  && requires(_Tp&& __t) { iter_move(static_cast<_Tp&&>(__t)); };
88 
89       struct _IMove
90       {
91       private:
92 	template<typename _Tp>
93 	  struct __result
94 	  { using type = iter_reference_t<_Tp>; };
95 
96 	template<typename _Tp>
97 	  requires __adl_imove<_Tp>
98 	  struct __result<_Tp>
99 	  { using type = decltype(iter_move(std::declval<_Tp>())); };
100 
101 	template<typename _Tp>
102 	  requires (!__adl_imove<_Tp>)
103 	  && is_lvalue_reference_v<iter_reference_t<_Tp>>
104 	  struct __result<_Tp>
105 	  { using type = remove_reference_t<iter_reference_t<_Tp>>&&; };
106 
107 	template<typename _Tp>
108 	  static constexpr bool
109 	  _S_noexcept()
110 	  {
111 	    if constexpr (__adl_imove<_Tp>)
112 	      return noexcept(iter_move(std::declval<_Tp>()));
113 	    else
114 	      return noexcept(*std::declval<_Tp>());
115 	  }
116 
117       public:
118 	// The result type of iter_move(std::declval<_Tp>())
119 	template<std::__detail::__dereferenceable _Tp>
120 	  using __type = typename __result<_Tp>::type;
121 
122 	template<std::__detail::__dereferenceable _Tp>
123 	  constexpr __type<_Tp>
124 	  operator()(_Tp&& __e) const
125 	  noexcept(_S_noexcept<_Tp>())
126 	  {
127 	    if constexpr (__adl_imove<_Tp>)
128 	      return iter_move(static_cast<_Tp&&>(__e));
129 	    else if constexpr (is_lvalue_reference_v<iter_reference_t<_Tp>>)
130 	      return static_cast<__type<_Tp>>(*__e);
131 	    else
132 	      return *__e;
133 	  }
134       };
135     } // namespace __cust_imove
136 
137     inline namespace __cust
138     {
139       inline constexpr __cust_imove::_IMove iter_move{};
140     } // inline namespace __cust
141   } // namespace ranges
142 
143   template<__detail::__dereferenceable _Tp>
144     requires __detail::
145       __can_reference<ranges::__cust_imove::_IMove::__type<_Tp&>>
146     using iter_rvalue_reference_t
147       = ranges::__cust_imove::_IMove::__type<_Tp&>;
148 
149   template<typename> struct incrementable_traits { };
150 
151   template<typename _Tp> requires is_object_v<_Tp>
152     struct incrementable_traits<_Tp*>
153     { using difference_type = ptrdiff_t; };
154 
155   template<typename _Iter>
156     struct incrementable_traits<const _Iter>
157     : incrementable_traits<_Iter> { };
158 
159   template<typename _Tp> requires requires { typename _Tp::difference_type; }
160     struct incrementable_traits<_Tp>
161     { using difference_type = typename _Tp::difference_type; };
162 
163   template<typename _Tp>
164     requires (!requires { typename _Tp::difference_type; }
165 	      && requires(const _Tp& __a, const _Tp& __b)
166 	      { { __a - __b } -> integral; })
167     struct incrementable_traits<_Tp>
168     {
169       using difference_type
170 	= make_signed_t<decltype(std::declval<_Tp>() - std::declval<_Tp>())>;
171     };
172 
173 #if defined __STRICT_ANSI__ && defined __SIZEOF_INT128__
174   // __int128 is incrementable even if !integral<__int128>
175   template<>
176     struct incrementable_traits<__int128>
177     { using difference_type = __int128; };
178 
179   template<>
180     struct incrementable_traits<unsigned __int128>
181     { using difference_type = __int128; };
182 #endif
183 
184   namespace __detail
185   {
186     // An iterator such that iterator_traits<_Iter> names a specialization
187     // generated from the primary template.
188     template<typename _Iter>
189       concept __primary_traits_iter
190 	= __is_base_of(__iterator_traits<_Iter, void>, iterator_traits<_Iter>);
191 
192     template<typename _Iter, typename _Tp>
193       struct __iter_traits_impl
194       { using type = iterator_traits<_Iter>; };
195 
196     template<typename _Iter, typename _Tp>
197       requires __primary_traits_iter<_Iter>
198       struct __iter_traits_impl<_Iter, _Tp>
199       { using type = _Tp; };
200 
201     // ITER_TRAITS
202     template<typename _Iter, typename _Tp = _Iter>
203       using __iter_traits = typename __iter_traits_impl<_Iter, _Tp>::type;
204 
205     template<typename _Tp>
206       using __iter_diff_t = typename
207 	__iter_traits<_Tp, incrementable_traits<_Tp>>::difference_type;
208   } // namespace __detail
209 
210   template<typename _Tp>
211     using iter_difference_t = __detail::__iter_diff_t<remove_cvref_t<_Tp>>;
212 
213   namespace __detail
214   {
215     template<typename> struct __cond_value_type { };
216 
217     template<typename _Tp> requires is_object_v<_Tp>
218       struct __cond_value_type<_Tp>
219       { using value_type = remove_cv_t<_Tp>; };
220 
221     template<typename _Tp>
222       concept __has_member_value_type
223 	= requires { typename _Tp::value_type; };
224 
225     template<typename _Tp>
226       concept __has_member_element_type
227 	= requires { typename _Tp::element_type; };
228 
229   } // namespace __detail
230 
231   template<typename> struct indirectly_readable_traits { };
232 
233   template<typename _Tp>
234     struct indirectly_readable_traits<_Tp*>
235     : __detail::__cond_value_type<_Tp>
236     { };
237 
238   template<typename _Iter> requires is_array_v<_Iter>
239     struct indirectly_readable_traits<_Iter>
240     { using value_type = remove_cv_t<remove_extent_t<_Iter>>; };
241 
242   template<typename _Iter>
243     struct indirectly_readable_traits<const _Iter>
244     : indirectly_readable_traits<_Iter>
245     { };
246 
247   template<__detail::__has_member_value_type _Tp>
248     struct indirectly_readable_traits<_Tp>
249     : __detail::__cond_value_type<typename _Tp::value_type>
250     { };
251 
252   template<__detail::__has_member_element_type _Tp>
253     struct indirectly_readable_traits<_Tp>
254     : __detail::__cond_value_type<typename _Tp::element_type>
255     { };
256 
257   // _GLIBCXX_RESOLVE_LIB_DEFECTS
258   // 3446. indirectly_readable_traits ambiguity for types with both [...]
259   template<__detail::__has_member_value_type _Tp>
260     requires __detail::__has_member_element_type<_Tp>
261     && same_as<remove_cv_t<typename _Tp::element_type>,
262 	       remove_cv_t<typename _Tp::value_type>>
263     struct indirectly_readable_traits<_Tp>
264     : __detail::__cond_value_type<typename _Tp::value_type>
265     { };
266 
267   // LWG 3446 doesn't add this, but it's needed for the case where
268   // value_type and element_type are both present, but not the same type.
269   template<__detail::__has_member_value_type _Tp>
270     requires __detail::__has_member_element_type<_Tp>
271     struct indirectly_readable_traits<_Tp>
272     { };
273 
274   namespace __detail
275   {
276     template<typename _Tp>
277       using __iter_value_t = typename
278 	__iter_traits<_Tp, indirectly_readable_traits<_Tp>>::value_type;
279   } // namespace __detail
280 
281   template<typename _Tp>
282     using iter_value_t = __detail::__iter_value_t<remove_cvref_t<_Tp>>;
283 
284   namespace __detail
285   {
286     // _GLIBCXX_RESOLVE_LIB_DEFECTS
287     // 3420. cpp17-iterator should check [type] looks like an iterator first
288     template<typename _Iter>
289       concept __cpp17_iterator = requires(_Iter __it)
290 	{
291 	  { *__it } -> __can_reference;
292 	  { ++__it } -> same_as<_Iter&>;
293 	  { *__it++ } -> __can_reference;
294 	} && copyable<_Iter>;
295 
296     template<typename _Iter>
297       concept __cpp17_input_iterator = __cpp17_iterator<_Iter>
298 	&& equality_comparable<_Iter>
299 	&& requires(_Iter __it)
300 	{
301 	  typename incrementable_traits<_Iter>::difference_type;
302 	  typename indirectly_readable_traits<_Iter>::value_type;
303 	  typename common_reference_t<iter_reference_t<_Iter>&&,
304 		   typename indirectly_readable_traits<_Iter>::value_type&>;
305 	  typename common_reference_t<decltype(*__it++)&&,
306 		   typename indirectly_readable_traits<_Iter>::value_type&>;
307 	  requires signed_integral<
308 	    typename incrementable_traits<_Iter>::difference_type>;
309 	};
310 
311     template<typename _Iter>
312       concept __cpp17_fwd_iterator = __cpp17_input_iterator<_Iter>
313 	&& constructible_from<_Iter>
314 	&& is_lvalue_reference_v<iter_reference_t<_Iter>>
315 	&& same_as<remove_cvref_t<iter_reference_t<_Iter>>,
316 		   typename indirectly_readable_traits<_Iter>::value_type>
317 	&& requires(_Iter __it)
318 	{
319 	  {  __it++ } -> convertible_to<const _Iter&>;
320 	  { *__it++ } -> same_as<iter_reference_t<_Iter>>;
321 	};
322 
323     template<typename _Iter>
324       concept __cpp17_bidi_iterator = __cpp17_fwd_iterator<_Iter>
325 	&& requires(_Iter __it)
326 	{
327 	  {  --__it } -> same_as<_Iter&>;
328 	  {  __it-- } -> convertible_to<const _Iter&>;
329 	  { *__it-- } -> same_as<iter_reference_t<_Iter>>;
330 	};
331 
332     template<typename _Iter>
333       concept __cpp17_randacc_iterator = __cpp17_bidi_iterator<_Iter>
334 	&& totally_ordered<_Iter>
335 	&& requires(_Iter __it,
336 		    typename incrementable_traits<_Iter>::difference_type __n)
337 	{
338 	  { __it += __n } -> same_as<_Iter&>;
339 	  { __it -= __n } -> same_as<_Iter&>;
340 	  { __it +  __n } -> same_as<_Iter>;
341 	  { __n +  __it } -> same_as<_Iter>;
342 	  { __it -  __n } -> same_as<_Iter>;
343 	  { __it -  __it } -> same_as<decltype(__n)>;
344 	  {  __it[__n]  } -> convertible_to<iter_reference_t<_Iter>>;
345 	};
346 
347     template<typename _Iter>
348       concept __iter_with_nested_types = requires {
349 	typename _Iter::iterator_category;
350 	typename _Iter::value_type;
351 	typename _Iter::difference_type;
352 	typename _Iter::reference;
353       };
354 
355     template<typename _Iter>
356       concept __iter_without_nested_types = !__iter_with_nested_types<_Iter>;
357 
358     template<typename _Iter>
359       concept __iter_without_category
360 	= !requires { typename _Iter::iterator_category; };
361 
362   } // namespace __detail
363 
364   template<typename _Iterator>
365     requires __detail::__iter_with_nested_types<_Iterator>
366     struct __iterator_traits<_Iterator, void>
367     {
368     private:
369       template<typename _Iter>
370 	struct __ptr
371 	{ using type = void; };
372 
373       template<typename _Iter> requires requires { typename _Iter::pointer; }
374 	struct __ptr<_Iter>
375 	{ using type = typename _Iter::pointer; };
376 
377     public:
378       using iterator_category = typename _Iterator::iterator_category;
379       using value_type	      = typename _Iterator::value_type;
380       using difference_type   = typename _Iterator::difference_type;
381       using pointer	      = typename __ptr<_Iterator>::type;
382       using reference	      = typename _Iterator::reference;
383     };
384 
385   template<typename _Iterator>
386     requires __detail::__iter_without_nested_types<_Iterator>
387 	      && __detail::__cpp17_input_iterator<_Iterator>
388     struct __iterator_traits<_Iterator, void>
389     {
390     private:
391       template<typename _Iter>
392 	struct __cat
393 	{ using type = input_iterator_tag; };
394 
395       template<typename _Iter>
396 	requires requires { typename _Iter::iterator_category; }
397 	struct __cat<_Iter>
398 	{ using type = typename _Iter::iterator_category; };
399 
400       template<typename _Iter>
401 	requires __detail::__iter_without_category<_Iter>
402 		  && __detail::__cpp17_randacc_iterator<_Iter>
403 	struct __cat<_Iter>
404 	{ using type = random_access_iterator_tag; };
405 
406       template<typename _Iter>
407 	requires __detail::__iter_without_category<_Iter>
408 		  && __detail::__cpp17_bidi_iterator<_Iter>
409 	struct __cat<_Iter>
410 	{ using type = bidirectional_iterator_tag; };
411 
412       template<typename _Iter>
413 	requires __detail::__iter_without_category<_Iter>
414 		  && __detail::__cpp17_fwd_iterator<_Iter>
415 	struct __cat<_Iter>
416 	{ using type = forward_iterator_tag; };
417 
418       template<typename _Iter>
419 	struct __ptr
420 	{ using type = void; };
421 
422       template<typename _Iter> requires requires { typename _Iter::pointer; }
423 	struct __ptr<_Iter>
424 	{ using type = typename _Iter::pointer; };
425 
426       template<typename _Iter>
427 	requires (!requires { typename _Iter::pointer; }
428 	    && requires(_Iter& __it) { __it.operator->(); })
429 	struct __ptr<_Iter>
430 	{ using type = decltype(std::declval<_Iter&>().operator->()); };
431 
432       template<typename _Iter>
433 	struct __ref
434 	{ using type = iter_reference_t<_Iter>; };
435 
436       template<typename _Iter> requires requires { typename _Iter::reference; }
437 	struct __ref<_Iter>
438 	{ using type = typename _Iter::reference; };
439 
440     public:
441       using iterator_category = typename __cat<_Iterator>::type;
442       using value_type
443 	= typename indirectly_readable_traits<_Iterator>::value_type;
444       using difference_type
445 	= typename incrementable_traits<_Iterator>::difference_type;
446       using pointer	      = typename __ptr<_Iterator>::type;
447       using reference	      = typename __ref<_Iterator>::type;
448     };
449 
450   template<typename _Iterator>
451     requires __detail::__iter_without_nested_types<_Iterator>
452 	      && __detail::__cpp17_iterator<_Iterator>
453     struct __iterator_traits<_Iterator, void>
454     {
455     private:
456       template<typename _Iter>
457 	struct __diff
458 	{ using type = void; };
459 
460       template<typename _Iter>
461 	requires requires
462 	{ typename incrementable_traits<_Iter>::difference_type; }
463 	struct __diff<_Iter>
464 	{
465 	  using type = typename incrementable_traits<_Iter>::difference_type;
466 	};
467 
468     public:
469       using iterator_category = output_iterator_tag;
470       using value_type	      = void;
471       using difference_type   = typename __diff<_Iterator>::type;
472       using pointer	      = void;
473       using reference	      = void;
474     };
475 
476   namespace __detail
477   {
478     template<typename _Iter>
479       struct __iter_concept_impl;
480 
481     // ITER_CONCEPT(I) is ITER_TRAITS(I)::iterator_concept if that is valid.
482     template<typename _Iter>
483       requires requires { typename __iter_traits<_Iter>::iterator_concept; }
484       struct __iter_concept_impl<_Iter>
485       { using type = typename __iter_traits<_Iter>::iterator_concept; };
486 
487     // Otherwise, ITER_TRAITS(I)::iterator_category if that is valid.
488     template<typename _Iter>
489       requires (!requires { typename __iter_traits<_Iter>::iterator_concept; }
490 	  && requires { typename __iter_traits<_Iter>::iterator_category; })
491       struct __iter_concept_impl<_Iter>
492       { using type = typename __iter_traits<_Iter>::iterator_category; };
493 
494     // Otherwise, random_access_tag if iterator_traits<I> is not specialized.
495     template<typename _Iter>
496       requires (!requires { typename __iter_traits<_Iter>::iterator_concept; }
497 	  && !requires { typename __iter_traits<_Iter>::iterator_category; }
498 	  && __primary_traits_iter<_Iter>)
499       struct __iter_concept_impl<_Iter>
500       { using type = random_access_iterator_tag; };
501 
502     // Otherwise, there is no ITER_CONCEPT(I) type.
503     template<typename _Iter>
504       struct __iter_concept_impl
505       { };
506 
507     // ITER_CONCEPT
508     template<typename _Iter>
509       using __iter_concept = typename __iter_concept_impl<_Iter>::type;
510 
511   template<typename _In>
512     concept __indirectly_readable_impl = requires
513       {
514 	typename iter_value_t<_In>;
515 	typename iter_reference_t<_In>;
516 	typename iter_rvalue_reference_t<_In>;
517 	requires same_as<iter_reference_t<const _In>,
518 			 iter_reference_t<_In>>;
519 	requires same_as<iter_rvalue_reference_t<const _In>,
520 			 iter_rvalue_reference_t<_In>>;
521       }
522       && common_reference_with<iter_reference_t<_In>&&, iter_value_t<_In>&>
523       && common_reference_with<iter_reference_t<_In>&&,
524 			      iter_rvalue_reference_t<_In>&&>
525       && common_reference_with<iter_rvalue_reference_t<_In>&&,
526 			       const iter_value_t<_In>&>;
527 
528   } // namespace __detail
529 
530   /// Requirements for types that are readable by applying operator*.
531   template<typename _In>
532     concept indirectly_readable
533       = __detail::__indirectly_readable_impl<remove_cvref_t<_In>>;
534 
535   template<indirectly_readable _Tp>
536     using iter_common_reference_t
537       = common_reference_t<iter_reference_t<_Tp>, iter_value_t<_Tp>&>;
538 
539   /// Requirements for writing a value into an iterator's referenced object.
540   template<typename _Out, typename _Tp>
541     concept indirectly_writable = requires(_Out&& __o, _Tp&& __t)
542       {
543 	*__o = std::forward<_Tp>(__t);
544 	*std::forward<_Out>(__o) = std::forward<_Tp>(__t);
545 	const_cast<const iter_reference_t<_Out>&&>(*__o)
546 	  = std::forward<_Tp>(__t);
547 	const_cast<const iter_reference_t<_Out>&&>(*std::forward<_Out>(__o))
548 	  = std::forward<_Tp>(__t);
549       };
550 
551   namespace ranges::__detail
552   {
553     class __max_diff_type;
554     class __max_size_type;
555 
556     template<typename _Tp>
557       concept __is_signed_int128
558 #if __SIZEOF_INT128__
559 	= same_as<_Tp, __int128>;
560 #else
561 	= false;
562 #endif
563 
564     template<typename _Tp>
565       concept __is_unsigned_int128
566 #if __SIZEOF_INT128__
567 	= same_as<_Tp, unsigned __int128>;
568 #else
569 	= false;
570 #endif
571 
572     template<typename _Tp>
573       concept __cv_bool = same_as<const volatile _Tp, const volatile bool>;
574 
575     template<typename _Tp>
576       concept __integral_nonbool = integral<_Tp> && !__cv_bool<_Tp>;
577 
578     template<typename _Tp>
579       concept __is_int128 = __is_signed_int128<_Tp> || __is_unsigned_int128<_Tp>;
580 
581     template<typename _Tp>
582       concept __is_integer_like = __integral_nonbool<_Tp>
583 	|| __is_int128<_Tp>
584 	|| same_as<_Tp, __max_diff_type> || same_as<_Tp, __max_size_type>;
585 
586     template<typename _Tp>
587       concept __is_signed_integer_like = signed_integral<_Tp>
588 	|| __is_signed_int128<_Tp>
589 	|| same_as<_Tp, __max_diff_type>;
590 
591   } // namespace ranges::__detail
592 
593   namespace __detail { using ranges::__detail::__is_signed_integer_like; }
594 
595   /// Requirements on types that can be incremented with ++.
596   template<typename _Iter>
597     concept weakly_incrementable = default_initializable<_Iter>
598       && movable<_Iter>
599       && requires(_Iter __i)
600       {
601 	typename iter_difference_t<_Iter>;
602 	requires __detail::__is_signed_integer_like<iter_difference_t<_Iter>>;
603 	{ ++__i } -> same_as<_Iter&>;
604 	__i++;
605       };
606 
607   template<typename _Iter>
608     concept incrementable = regular<_Iter> && weakly_incrementable<_Iter>
609       && requires(_Iter __i) { { __i++ } -> same_as<_Iter>; };
610 
611   template<typename _Iter>
612     concept input_or_output_iterator
613       = requires(_Iter __i) { { *__i } -> __detail::__can_reference; }
614 	&& weakly_incrementable<_Iter>;
615 
616   template<typename _Sent, typename _Iter>
617     concept sentinel_for = semiregular<_Sent>
618       && input_or_output_iterator<_Iter>
619       && __detail::__weakly_eq_cmp_with<_Sent, _Iter>;
620 
621   template<typename _Sent, typename _Iter>
622     inline constexpr bool disable_sized_sentinel_for = false;
623 
624   template<typename _Sent, typename _Iter>
625     concept sized_sentinel_for = sentinel_for<_Sent, _Iter>
626     && !disable_sized_sentinel_for<remove_cv_t<_Sent>, remove_cv_t<_Iter>>
627     && requires(const _Iter& __i, const _Sent& __s)
628     {
629       { __s - __i } -> same_as<iter_difference_t<_Iter>>;
630       { __i - __s } -> same_as<iter_difference_t<_Iter>>;
631     };
632 
633   template<typename _Iter>
634     concept input_iterator = input_or_output_iterator<_Iter>
635       && indirectly_readable<_Iter>
636       && requires { typename __detail::__iter_concept<_Iter>; }
637       && derived_from<__detail::__iter_concept<_Iter>, input_iterator_tag>;
638 
639   template<typename _Iter, typename _Tp>
640     concept output_iterator = input_or_output_iterator<_Iter>
641       && indirectly_writable<_Iter, _Tp>
642       && requires(_Iter __i, _Tp&& __t) { *__i++ = std::forward<_Tp>(__t); };
643 
644   template<typename _Iter>
645     concept forward_iterator = input_iterator<_Iter>
646       && derived_from<__detail::__iter_concept<_Iter>, forward_iterator_tag>
647       && incrementable<_Iter> && sentinel_for<_Iter, _Iter>;
648 
649   template<typename _Iter>
650     concept bidirectional_iterator = forward_iterator<_Iter>
651       && derived_from<__detail::__iter_concept<_Iter>,
652 		      bidirectional_iterator_tag>
653       && requires(_Iter __i)
654       {
655 	{ --__i } -> same_as<_Iter&>;
656 	{ __i-- } -> same_as<_Iter>;
657       };
658 
659   template<typename _Iter>
660     concept random_access_iterator = bidirectional_iterator<_Iter>
661       && derived_from<__detail::__iter_concept<_Iter>,
662 		      random_access_iterator_tag>
663       && totally_ordered<_Iter> && sized_sentinel_for<_Iter, _Iter>
664       && requires(_Iter __i, const _Iter __j,
665 		  const iter_difference_t<_Iter> __n)
666       {
667 	{ __i += __n } -> same_as<_Iter&>;
668 	{ __j +  __n } -> same_as<_Iter>;
669 	{ __n +  __j } -> same_as<_Iter>;
670 	{ __i -= __n } -> same_as<_Iter&>;
671 	{ __j -  __n } -> same_as<_Iter>;
672 	{  __j[__n]  } -> same_as<iter_reference_t<_Iter>>;
673       };
674 
675   template<typename _Iter>
676     concept contiguous_iterator = random_access_iterator<_Iter>
677       && derived_from<__detail::__iter_concept<_Iter>, contiguous_iterator_tag>
678       && is_lvalue_reference_v<iter_reference_t<_Iter>>
679       && same_as<iter_value_t<_Iter>, remove_cvref_t<iter_reference_t<_Iter>>>
680       && requires(const _Iter& __i)
681       {
682 	{ std::to_address(__i) }
683 	  -> same_as<add_pointer_t<iter_reference_t<_Iter>>>;
684       };
685 
686   // [indirectcallable], indirect callable requirements
687 
688   // [indirectcallable.indirectinvocable], indirect callables
689 
690   template<typename _Fn, typename _Iter>
691     concept indirectly_unary_invocable = indirectly_readable<_Iter>
692       && copy_constructible<_Fn> && invocable<_Fn&, iter_value_t<_Iter>&>
693       && invocable<_Fn&, iter_reference_t<_Iter>>
694       && invocable<_Fn&, iter_common_reference_t<_Iter>>
695       && common_reference_with<invoke_result_t<_Fn&, iter_value_t<_Iter>&>,
696 			       invoke_result_t<_Fn&, iter_reference_t<_Iter>>>;
697 
698   template<typename _Fn, typename _Iter>
699     concept indirectly_regular_unary_invocable = indirectly_readable<_Iter>
700       && copy_constructible<_Fn>
701       && regular_invocable<_Fn&, iter_value_t<_Iter>&>
702       && regular_invocable<_Fn&, iter_reference_t<_Iter>>
703       && regular_invocable<_Fn&, iter_common_reference_t<_Iter>>
704       && common_reference_with<invoke_result_t<_Fn&, iter_value_t<_Iter>&>,
705 			       invoke_result_t<_Fn&, iter_reference_t<_Iter>>>;
706 
707   template<typename _Fn, typename _Iter>
708     concept indirect_unary_predicate = indirectly_readable<_Iter>
709       && copy_constructible<_Fn> && predicate<_Fn&, iter_value_t<_Iter>&>
710       && predicate<_Fn&, iter_reference_t<_Iter>>
711       && predicate<_Fn&, iter_common_reference_t<_Iter>>;
712 
713   template<typename _Fn, typename _I1, typename _I2>
714     concept indirect_binary_predicate
715       = indirectly_readable<_I1> && indirectly_readable<_I2>
716       && copy_constructible<_Fn>
717       && predicate<_Fn&, iter_value_t<_I1>&, iter_value_t<_I2>&>
718       && predicate<_Fn&, iter_value_t<_I1>&, iter_reference_t<_I2>>
719       && predicate<_Fn&, iter_reference_t<_I1>, iter_value_t<_I2>&>
720       && predicate<_Fn&, iter_reference_t<_I1>, iter_reference_t<_I2>>
721       && predicate<_Fn&, iter_common_reference_t<_I1>,
722 		   iter_common_reference_t<_I2>>;
723 
724   template<typename _Fn, typename _I1, typename _I2 = _I1>
725     concept indirect_equivalence_relation
726       = indirectly_readable<_I1> && indirectly_readable<_I2>
727       && copy_constructible<_Fn>
728       && equivalence_relation<_Fn&, iter_value_t<_I1>&, iter_value_t<_I2>&>
729       && equivalence_relation<_Fn&, iter_value_t<_I1>&, iter_reference_t<_I2>>
730       && equivalence_relation<_Fn&, iter_reference_t<_I1>, iter_value_t<_I2>&>
731       && equivalence_relation<_Fn&, iter_reference_t<_I1>,
732 			      iter_reference_t<_I2>>
733       && equivalence_relation<_Fn&, iter_common_reference_t<_I1>,
734 			      iter_common_reference_t<_I2>>;
735 
736   template<typename _Fn, typename _I1, typename _I2 = _I1>
737     concept indirect_strict_weak_order
738       = indirectly_readable<_I1> && indirectly_readable<_I2>
739       && copy_constructible<_Fn>
740       && strict_weak_order<_Fn&, iter_value_t<_I1>&, iter_value_t<_I2>&>
741       && strict_weak_order<_Fn&, iter_value_t<_I1>&, iter_reference_t<_I2>>
742       && strict_weak_order<_Fn&, iter_reference_t<_I1>, iter_value_t<_I2>&>
743       && strict_weak_order<_Fn&, iter_reference_t<_I1>, iter_reference_t<_I2>>
744       && strict_weak_order<_Fn&, iter_common_reference_t<_I1>,
745 			   iter_common_reference_t<_I2>>;
746 
747   template<typename _Fn, typename... _Is>
748     requires (indirectly_readable<_Is> && ...)
749       && invocable<_Fn, iter_reference_t<_Is>...>
750     using indirect_result_t = invoke_result_t<_Fn, iter_reference_t<_Is>...>;
751 
752   /// [projected], projected
753   template<indirectly_readable _Iter,
754 	   indirectly_regular_unary_invocable<_Iter> _Proj>
755     struct projected
756     {
757       using value_type = remove_cvref_t<indirect_result_t<_Proj&, _Iter>>;
758 
759       indirect_result_t<_Proj&, _Iter> operator*() const; // not defined
760     };
761 
762   template<weakly_incrementable _Iter, typename _Proj>
763     struct incrementable_traits<projected<_Iter, _Proj>>
764     { using difference_type = iter_difference_t<_Iter>; };
765 
766   // [alg.req], common algorithm requirements
767 
768   /// [alg.req.ind.move], concept `indirectly_movable`
769 
770   template<typename _In, typename _Out>
771     concept indirectly_movable = indirectly_readable<_In>
772       && indirectly_writable<_Out, iter_rvalue_reference_t<_In>>;
773 
774   template<typename _In, typename _Out>
775     concept indirectly_movable_storable = indirectly_movable<_In, _Out>
776       && indirectly_writable<_Out, iter_value_t<_In>>
777       && movable<iter_value_t<_In>>
778       && constructible_from<iter_value_t<_In>, iter_rvalue_reference_t<_In>>
779       && assignable_from<iter_value_t<_In>&, iter_rvalue_reference_t<_In>>;
780 
781   /// [alg.req.ind.copy], concept `indirectly_copyable`
782   template<typename _In, typename _Out>
783     concept indirectly_copyable = indirectly_readable<_In>
784       && indirectly_writable<_Out, iter_reference_t<_In>>;
785 
786   template<typename _In, typename _Out>
787     concept indirectly_copyable_storable = indirectly_copyable<_In, _Out>
788       && indirectly_writable<_Out, iter_value_t<_In>&>
789       && indirectly_writable<_Out, const iter_value_t<_In>&>
790       && indirectly_writable<_Out, iter_value_t<_In>&&>
791       && indirectly_writable<_Out, const iter_value_t<_In>&&>
792       && copyable<iter_value_t<_In>>
793       && constructible_from<iter_value_t<_In>, iter_reference_t<_In>>
794       && assignable_from<iter_value_t<_In>&, iter_reference_t<_In>>;
795 
796 namespace ranges
797 {
798   namespace __cust_iswap
799   {
800     template<typename _It1, typename _It2>
801       void iter_swap(_It1, _It2) = delete;
802 
803     template<typename _Tp, typename _Up>
804       concept __adl_iswap
805 	= (std::__detail::__class_or_enum<remove_reference_t<_Tp>>
806 	  || std::__detail::__class_or_enum<remove_reference_t<_Up>>)
807 	&& requires(_Tp&& __t, _Up&& __u) {
808 	  iter_swap(static_cast<_Tp&&>(__t), static_cast<_Up&&>(__u));
809 	};
810 
811     template<typename _Xp, typename _Yp>
812       constexpr iter_value_t<_Xp>
813       __iter_exchange_move(_Xp&& __x, _Yp&& __y)
814       noexcept(noexcept(iter_value_t<_Xp>(iter_move(__x)))
815 	       && noexcept(*__x = iter_move(__y)))
816       {
817 	iter_value_t<_Xp> __old_value(iter_move(__x));
818 	*__x = iter_move(__y);
819 	return __old_value;
820       }
821 
822     struct _IterSwap
823     {
824     private:
825       template<typename _Tp, typename _Up>
826 	static constexpr bool
827 	_S_noexcept()
828 	{
829 	  if constexpr (__adl_iswap<_Tp, _Up>)
830 	    return noexcept(iter_swap(std::declval<_Tp>(),
831 				      std::declval<_Up>()));
832 	  else if constexpr (indirectly_readable<_Tp>
833 	      && indirectly_readable<_Up>
834 	      && swappable_with<iter_reference_t<_Tp>, iter_reference_t<_Up>>)
835 	    return noexcept(ranges::swap(*std::declval<_Tp>(),
836 					 *std::declval<_Up>()));
837 	  else
838 	    return noexcept(*std::declval<_Tp>()
839 		= __iter_exchange_move(std::declval<_Up>(),
840 				       std::declval<_Tp>()));
841 	}
842 
843     public:
844       template<typename _Tp, typename _Up>
845 	requires __adl_iswap<_Tp, _Up>
846 	|| (indirectly_readable<remove_reference_t<_Tp>>
847 	    && indirectly_readable<remove_reference_t<_Up>>
848 	    && swappable_with<iter_reference_t<_Tp>, iter_reference_t<_Up>>)
849 	|| (indirectly_movable_storable<_Tp, _Up>
850 	    && indirectly_movable_storable<_Up, _Tp>)
851 	constexpr void
852 	operator()(_Tp&& __e1, _Up&& __e2) const
853 	noexcept(_S_noexcept<_Tp, _Up>())
854 	{
855 	  if constexpr (__adl_iswap<_Tp, _Up>)
856 	    iter_swap(static_cast<_Tp&&>(__e1), static_cast<_Up&&>(__e2));
857 	  else if constexpr (indirectly_readable<_Tp>
858 	      && indirectly_readable<_Up>
859 	      && swappable_with<iter_reference_t<_Tp>, iter_reference_t<_Up>>)
860 	    ranges::swap(*__e1, *__e2);
861 	  else
862 	    *__e1 = __iter_exchange_move(__e2, __e1);
863 	}
864     };
865   } // namespace __cust_iswap
866 
867   inline namespace __cust
868   {
869     inline constexpr __cust_iswap::_IterSwap iter_swap{};
870   } // inline namespace __cust
871 
872 } // namespace ranges
873 
874   /// [alg.req.ind.swap], concept `indirectly_swappable`
875   template<typename _I1, typename _I2 = _I1>
876     concept indirectly_swappable
877       = indirectly_readable<_I1> && indirectly_readable<_I2>
878       && requires(const _I1 __i1, const _I2 __i2)
879       {
880 	ranges::iter_swap(__i1, __i1);
881 	ranges::iter_swap(__i2, __i2);
882 	ranges::iter_swap(__i1, __i2);
883 	ranges::iter_swap(__i2, __i1);
884       };
885 
886   /// [alg.req.ind.cmp], concept `indirectly_comparable`
887   template<typename _I1, typename _I2, typename _Rel, typename _P1 = identity,
888 	   typename _P2 = identity>
889     concept indirectly_comparable
890       = indirect_binary_predicate<_Rel, projected<_I1, _P1>,
891 				  projected<_I2, _P2>>;
892 
893   /// [alg.req.permutable], concept `permutable`
894   template<typename _Iter>
895     concept permutable = forward_iterator<_Iter>
896       && indirectly_movable_storable<_Iter, _Iter>
897       && indirectly_swappable<_Iter, _Iter>;
898 
899   /// [alg.req.mergeable], concept `mergeable`
900   template<typename _I1, typename _I2, typename _Out,
901 	   typename _Rel = ranges::less, typename _P1 = identity,
902 	   typename _P2 = identity>
903     concept mergeable = input_iterator<_I1> && input_iterator<_I2>
904       && weakly_incrementable<_Out> && indirectly_copyable<_I1, _Out>
905       && indirectly_copyable<_I2, _Out>
906       && indirect_strict_weak_order<_Rel, projected<_I1, _P1>,
907 				    projected<_I2, _P2>>;
908 
909   /// [alg.req.sortable], concept `sortable`
910   template<typename _Iter, typename _Rel = ranges::less,
911 	   typename _Proj = identity>
912     concept sortable = permutable<_Iter>
913       && indirect_strict_weak_order<_Rel, projected<_Iter, _Proj>>;
914 
915   struct unreachable_sentinel_t
916   {
917     template<weakly_incrementable _It>
918       friend constexpr bool
919       operator==(unreachable_sentinel_t, const _It&) noexcept
920       { return false; }
921   };
922 
923   inline constexpr unreachable_sentinel_t unreachable_sentinel{};
924 
925   struct default_sentinel_t { };
926   inline constexpr default_sentinel_t default_sentinel{};
927 
928   // This is the namespace for [range.access] CPOs.
929   namespace ranges::__cust_access
930   {
931     using std::__detail::__class_or_enum;
932 
933     struct _Decay_copy final
934     {
935       template<typename _Tp>
936 	constexpr decay_t<_Tp>
937 	operator()(_Tp&& __t) const
938 	noexcept(is_nothrow_convertible_v<_Tp, decay_t<_Tp>>)
939 	{ return std::forward<_Tp>(__t); }
940     } inline constexpr __decay_copy{};
941 
942     template<typename _Tp>
943       concept __member_begin = requires(_Tp& __t)
944 	{
945 	  { __decay_copy(__t.begin()) } -> input_or_output_iterator;
946 	};
947 
948     // Poison pills so that unqualified lookup doesn't find std::begin.
949     void begin(auto&) = delete;
950     void begin(const auto&) = delete;
951 
952     template<typename _Tp>
953       concept __adl_begin = __class_or_enum<remove_reference_t<_Tp>>
954 	&& requires(_Tp& __t)
955 	{
956 	  { __decay_copy(begin(__t)) } -> input_or_output_iterator;
957 	};
958 
959     // Simplified version of std::ranges::begin that only supports lvalues,
960     // for use by __range_iter_t below.
961     template<typename _Tp>
962       requires is_array_v<_Tp> || __member_begin<_Tp&> || __adl_begin<_Tp&>
963       auto
964       __begin(_Tp& __t)
965       {
966 	if constexpr (is_array_v<_Tp>)
967 	  return __t + 0;
968 	else if constexpr (__member_begin<_Tp&>)
969 	  return __t.begin();
970 	else
971 	  return begin(__t);
972       }
973   } // namespace ranges::__cust_access
974 
975   namespace __detail
976   {
977     // Implementation of std::ranges::iterator_t, without using ranges::begin.
978     template<typename _Tp>
979       using __range_iter_t
980 	= decltype(ranges::__cust_access::__begin(std::declval<_Tp&>()));
981 
982   } // namespace __detail
983 
984 _GLIBCXX_END_NAMESPACE_VERSION
985 } // namespace std
986 #endif // C++20 library concepts
987 #endif // _ITERATOR_CONCEPTS_H
988