1 // Set implementation -*- C++ -*-
2 
3 // Copyright (C) 2001-2020 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 /*
26  *
27  * Copyright (c) 1994
28  * Hewlett-Packard Company
29  *
30  * Permission to use, copy, modify, distribute and sell this software
31  * and its documentation for any purpose is hereby granted without fee,
32  * provided that the above copyright notice appear in all copies and
33  * that both that copyright notice and this permission notice appear
34  * in supporting documentation.  Hewlett-Packard Company makes no
35  * representations about the suitability of this software for any
36  * purpose.  It is provided "as is" without express or implied warranty.
37  *
38  *
39  * Copyright (c) 1996,1997
40  * Silicon Graphics Computer Systems, Inc.
41  *
42  * Permission to use, copy, modify, distribute and sell this software
43  * and its documentation for any purpose is hereby granted without fee,
44  * provided that the above copyright notice appear in all copies and
45  * that both that copyright notice and this permission notice appear
46  * in supporting documentation.  Silicon Graphics makes no
47  * representations about the suitability of this software for any
48  * purpose.  It is provided "as is" without express or implied warranty.
49  */
50 
51 /** @file bits/stl_set.h
52  *  This is an internal header file, included by other library headers.
53  *  Do not attempt to use it directly. @headername{set}
54  */
55 
56 #ifndef _STL_SET_H
57 #define _STL_SET_H 1
58 
59 #include <bits/concept_check.h>
60 #if __cplusplus >= 201103L
61 #include <initializer_list>
62 #endif
63 
_GLIBCXX_VISIBILITY(default)64 namespace std _GLIBCXX_VISIBILITY(default)
65 {
66 _GLIBCXX_BEGIN_NAMESPACE_VERSION
67 _GLIBCXX_BEGIN_NAMESPACE_CONTAINER
68 
69   template<typename _Key, typename _Compare, typename _Alloc>
70     class multiset;
71 
72   /**
73    *  @brief A standard container made up of unique keys, which can be
74    *  retrieved in logarithmic time.
75    *
76    *  @ingroup associative_containers
77    *
78    *  @tparam _Key  Type of key objects.
79    *  @tparam _Compare  Comparison function object type, defaults to less<_Key>.
80    *  @tparam _Alloc  Allocator type, defaults to allocator<_Key>.
81    *
82    *  Meets the requirements of a <a href="tables.html#65">container</a>, a
83    *  <a href="tables.html#66">reversible container</a>, and an
84    *  <a href="tables.html#69">associative container</a> (using unique keys).
85    *
86    *  Sets support bidirectional iterators.
87    *
88    *  The private tree data is declared exactly the same way for set and
89    *  multiset; the distinction is made entirely in how the tree functions are
90    *  called (*_unique versus *_equal, same as the standard).
91   */
92   template<typename _Key, typename _Compare = std::less<_Key>,
93 	   typename _Alloc = std::allocator<_Key> >
94     class set
95     {
96 #ifdef _GLIBCXX_CONCEPT_CHECKS
97       // concept requirements
98       typedef typename _Alloc::value_type		_Alloc_value_type;
99 # if __cplusplus < 201103L
100       __glibcxx_class_requires(_Key, _SGIAssignableConcept)
101 # endif
102       __glibcxx_class_requires4(_Compare, bool, _Key, _Key,
103 				_BinaryFunctionConcept)
104       __glibcxx_class_requires2(_Key, _Alloc_value_type, _SameTypeConcept)
105 #endif
106 
107 #if __cplusplus >= 201103L
108       static_assert(is_same<typename remove_cv<_Key>::type, _Key>::value,
109 	  "std::set must have a non-const, non-volatile value_type");
110 # if __cplusplus > 201703L || defined __STRICT_ANSI__
111       static_assert(is_same<typename _Alloc::value_type, _Key>::value,
112 	  "std::set must have the same value_type as its allocator");
113 # endif
114 #endif
115 
116     public:
117       // typedefs:
118       //@{
119       /// Public typedefs.
120       typedef _Key     key_type;
121       typedef _Key     value_type;
122       typedef _Compare key_compare;
123       typedef _Compare value_compare;
124       typedef _Alloc   allocator_type;
125       //@}
126 
127     private:
128       typedef typename __gnu_cxx::__alloc_traits<_Alloc>::template
129 	rebind<_Key>::other _Key_alloc_type;
130 
131       typedef _Rb_tree<key_type, value_type, _Identity<value_type>,
132 		       key_compare, _Key_alloc_type> _Rep_type;
133       _Rep_type _M_t;  // Red-black tree representing set.
134 
135       typedef __gnu_cxx::__alloc_traits<_Key_alloc_type> _Alloc_traits;
136 
137     public:
138       //@{
139       ///  Iterator-related typedefs.
140       typedef typename _Alloc_traits::pointer		 pointer;
141       typedef typename _Alloc_traits::const_pointer	 const_pointer;
142       typedef typename _Alloc_traits::reference		 reference;
143       typedef typename _Alloc_traits::const_reference	 const_reference;
144       // _GLIBCXX_RESOLVE_LIB_DEFECTS
145       // DR 103. set::iterator is required to be modifiable,
146       // but this allows modification of keys.
147       typedef typename _Rep_type::const_iterator	 iterator;
148       typedef typename _Rep_type::const_iterator	 const_iterator;
149       typedef typename _Rep_type::const_reverse_iterator reverse_iterator;
150       typedef typename _Rep_type::const_reverse_iterator const_reverse_iterator;
151       typedef typename _Rep_type::size_type		 size_type;
152       typedef typename _Rep_type::difference_type	 difference_type;
153       //@}
154 
155 #if __cplusplus > 201402L
156       using node_type = typename _Rep_type::node_type;
157       using insert_return_type = typename _Rep_type::insert_return_type;
158 #endif
159 
160       // allocation/deallocation
161       /**
162        *  @brief  Default constructor creates no elements.
163        */
164 #if __cplusplus < 201103L
165       set() : _M_t() { }
166 #else
167       set() = default;
168 #endif
169 
170       /**
171        *  @brief  Creates a %set with no elements.
172        *  @param  __comp  Comparator to use.
173        *  @param  __a  An allocator object.
174        */
175       explicit
176       set(const _Compare& __comp,
177 	  const allocator_type& __a = allocator_type())
178       : _M_t(__comp, _Key_alloc_type(__a)) { }
179 
180       /**
181        *  @brief  Builds a %set from a range.
182        *  @param  __first  An input iterator.
183        *  @param  __last  An input iterator.
184        *
185        *  Create a %set consisting of copies of the elements from
186        *  [__first,__last).  This is linear in N if the range is
187        *  already sorted, and NlogN otherwise (where N is
188        *  distance(__first,__last)).
189        */
190       template<typename _InputIterator>
191 	set(_InputIterator __first, _InputIterator __last)
192 	: _M_t()
193 	{ _M_t._M_insert_range_unique(__first, __last); }
194 
195       /**
196        *  @brief  Builds a %set from a range.
197        *  @param  __first  An input iterator.
198        *  @param  __last  An input iterator.
199        *  @param  __comp  A comparison functor.
200        *  @param  __a  An allocator object.
201        *
202        *  Create a %set consisting of copies of the elements from
203        *  [__first,__last).  This is linear in N if the range is
204        *  already sorted, and NlogN otherwise (where N is
205        *  distance(__first,__last)).
206        */
207       template<typename _InputIterator>
208 	set(_InputIterator __first, _InputIterator __last,
209 	    const _Compare& __comp,
210 	    const allocator_type& __a = allocator_type())
211 	: _M_t(__comp, _Key_alloc_type(__a))
212 	{ _M_t._M_insert_range_unique(__first, __last); }
213 
214       /**
215        *  @brief  %Set copy constructor.
216        *
217        *  Whether the allocator is copied depends on the allocator traits.
218        */
219 #if __cplusplus < 201103L
220       set(const set& __x)
221       : _M_t(__x._M_t) { }
222 #else
223       set(const set&) = default;
224 
225      /**
226        *  @brief %Set move constructor
227        *
228        *  The newly-created %set contains the exact contents of the moved
229        *  instance. The moved instance is a valid, but unspecified, %set.
230        */
231       set(set&&) = default;
232 
233       /**
234        *  @brief  Builds a %set from an initializer_list.
235        *  @param  __l  An initializer_list.
236        *  @param  __comp  A comparison functor.
237        *  @param  __a  An allocator object.
238        *
239        *  Create a %set consisting of copies of the elements in the list.
240        *  This is linear in N if the list is already sorted, and NlogN
241        *  otherwise (where N is @a __l.size()).
242        */
243       set(initializer_list<value_type> __l,
244 	  const _Compare& __comp = _Compare(),
245 	  const allocator_type& __a = allocator_type())
246       : _M_t(__comp, _Key_alloc_type(__a))
247       { _M_t._M_insert_range_unique(__l.begin(), __l.end()); }
248 
249       /// Allocator-extended default constructor.
250       explicit
251       set(const allocator_type& __a)
252       : _M_t(_Key_alloc_type(__a)) { }
253 
254       /// Allocator-extended copy constructor.
255       set(const set& __x, const allocator_type& __a)
256       : _M_t(__x._M_t, _Key_alloc_type(__a)) { }
257 
258       /// Allocator-extended move constructor.
259       set(set&& __x, const allocator_type& __a)
260       noexcept(is_nothrow_copy_constructible<_Compare>::value
261 	       && _Alloc_traits::_S_always_equal())
262       : _M_t(std::move(__x._M_t), _Key_alloc_type(__a)) { }
263 
264       /// Allocator-extended initialier-list constructor.
265       set(initializer_list<value_type> __l, const allocator_type& __a)
266       : _M_t(_Key_alloc_type(__a))
267       { _M_t._M_insert_range_unique(__l.begin(), __l.end()); }
268 
269       /// Allocator-extended range constructor.
270       template<typename _InputIterator>
271 	set(_InputIterator __first, _InputIterator __last,
272 	    const allocator_type& __a)
273 	: _M_t(_Key_alloc_type(__a))
274 	{ _M_t._M_insert_range_unique(__first, __last); }
275 
276       /**
277        *  The dtor only erases the elements, and note that if the elements
278        *  themselves are pointers, the pointed-to memory is not touched in any
279        *  way. Managing the pointer is the user's responsibility.
280        */
281       ~set() = default;
282 #endif
283 
284       /**
285        *  @brief  %Set assignment operator.
286        *
287        *  Whether the allocator is copied depends on the allocator traits.
288        */
289 #if __cplusplus < 201103L
290       set&
291       operator=(const set& __x)
292       {
293 	_M_t = __x._M_t;
294 	return *this;
295       }
296 #else
297       set&
298       operator=(const set&) = default;
299 
300       /// Move assignment operator.
301       set&
302       operator=(set&&) = default;
303 
304       /**
305        *  @brief  %Set list assignment operator.
306        *  @param  __l  An initializer_list.
307        *
308        *  This function fills a %set with copies of the elements in the
309        *  initializer list @a __l.
310        *
311        *  Note that the assignment completely changes the %set and
312        *  that the resulting %set's size is the same as the number
313        *  of elements assigned.
314        */
315       set&
316       operator=(initializer_list<value_type> __l)
317       {
318 	_M_t._M_assign_unique(__l.begin(), __l.end());
319 	return *this;
320       }
321 #endif
322 
323       // accessors:
324 
325       ///  Returns the comparison object with which the %set was constructed.
326       key_compare
327       key_comp() const
328       { return _M_t.key_comp(); }
329       ///  Returns the comparison object with which the %set was constructed.
330       value_compare
331       value_comp() const
332       { return _M_t.key_comp(); }
333       ///  Returns the allocator object with which the %set was constructed.
334       allocator_type
335       get_allocator() const _GLIBCXX_NOEXCEPT
336       { return allocator_type(_M_t.get_allocator()); }
337 
338       /**
339        *  Returns a read-only (constant) iterator that points to the first
340        *  element in the %set.  Iteration is done in ascending order according
341        *  to the keys.
342        */
343       iterator
344       begin() const _GLIBCXX_NOEXCEPT
345       { return _M_t.begin(); }
346 
347       /**
348        *  Returns a read-only (constant) iterator that points one past the last
349        *  element in the %set.  Iteration is done in ascending order according
350        *  to the keys.
351        */
352       iterator
353       end() const _GLIBCXX_NOEXCEPT
354       { return _M_t.end(); }
355 
356       /**
357        *  Returns a read-only (constant) iterator that points to the last
358        *  element in the %set.  Iteration is done in descending order according
359        *  to the keys.
360        */
361       reverse_iterator
362       rbegin() const _GLIBCXX_NOEXCEPT
363       { return _M_t.rbegin(); }
364 
365       /**
366        *  Returns a read-only (constant) reverse iterator that points to the
367        *  last pair in the %set.  Iteration is done in descending order
368        *  according to the keys.
369        */
370       reverse_iterator
371       rend() const _GLIBCXX_NOEXCEPT
372       { return _M_t.rend(); }
373 
374 #if __cplusplus >= 201103L
375       /**
376        *  Returns a read-only (constant) iterator that points to the first
377        *  element in the %set.  Iteration is done in ascending order according
378        *  to the keys.
379        */
380       iterator
381       cbegin() const noexcept
382       { return _M_t.begin(); }
383 
384       /**
385        *  Returns a read-only (constant) iterator that points one past the last
386        *  element in the %set.  Iteration is done in ascending order according
387        *  to the keys.
388        */
389       iterator
390       cend() const noexcept
391       { return _M_t.end(); }
392 
393       /**
394        *  Returns a read-only (constant) iterator that points to the last
395        *  element in the %set.  Iteration is done in descending order according
396        *  to the keys.
397        */
398       reverse_iterator
399       crbegin() const noexcept
400       { return _M_t.rbegin(); }
401 
402       /**
403        *  Returns a read-only (constant) reverse iterator that points to the
404        *  last pair in the %set.  Iteration is done in descending order
405        *  according to the keys.
406        */
407       reverse_iterator
408       crend() const noexcept
409       { return _M_t.rend(); }
410 #endif
411 
412       ///  Returns true if the %set is empty.
413       _GLIBCXX_NODISCARD bool
414       empty() const _GLIBCXX_NOEXCEPT
415       { return _M_t.empty(); }
416 
417       ///  Returns the size of the %set.
418       size_type
419       size() const _GLIBCXX_NOEXCEPT
420       { return _M_t.size(); }
421 
422       ///  Returns the maximum size of the %set.
423       size_type
424       max_size() const _GLIBCXX_NOEXCEPT
425       { return _M_t.max_size(); }
426 
427       /**
428        *  @brief  Swaps data with another %set.
429        *  @param  __x  A %set of the same element and allocator types.
430        *
431        *  This exchanges the elements between two sets in constant
432        *  time.  (It is only swapping a pointer, an integer, and an
433        *  instance of the @c Compare type (which itself is often
434        *  stateless and empty), so it should be quite fast.)  Note
435        *  that the global std::swap() function is specialized such
436        *  that std::swap(s1,s2) will feed to this function.
437        *
438        *  Whether the allocators are swapped depends on the allocator traits.
439        */
440       void
441       swap(set& __x)
442       _GLIBCXX_NOEXCEPT_IF(__is_nothrow_swappable<_Compare>::value)
443       { _M_t.swap(__x._M_t); }
444 
445       // insert/erase
446 #if __cplusplus >= 201103L
447       /**
448        *  @brief Attempts to build and insert an element into the %set.
449        *  @param __args  Arguments used to generate an element.
450        *  @return  A pair, of which the first element is an iterator that points
451        *           to the possibly inserted element, and the second is a bool
452        *           that is true if the element was actually inserted.
453        *
454        *  This function attempts to build and insert an element into the %set.
455        *  A %set relies on unique keys and thus an element is only inserted if
456        *  it is not already present in the %set.
457        *
458        *  Insertion requires logarithmic time.
459        */
460       template<typename... _Args>
461 	std::pair<iterator, bool>
462 	emplace(_Args&&... __args)
463 	{ return _M_t._M_emplace_unique(std::forward<_Args>(__args)...); }
464 
465       /**
466        *  @brief Attempts to insert an element into the %set.
467        *  @param  __pos  An iterator that serves as a hint as to where the
468        *                element should be inserted.
469        *  @param  __args  Arguments used to generate the element to be
470        *                 inserted.
471        *  @return An iterator that points to the element with key equivalent to
472        *          the one generated from @a __args (may or may not be the
473        *          element itself).
474        *
475        *  This function is not concerned about whether the insertion took place,
476        *  and thus does not return a boolean like the single-argument emplace()
477        *  does.  Note that the first parameter is only a hint and can
478        *  potentially improve the performance of the insertion process.  A bad
479        *  hint would cause no gains in efficiency.
480        *
481        *  For more on @a hinting, see:
482        *  https://gcc.gnu.org/onlinedocs/libstdc++/manual/associative.html#containers.associative.insert_hints
483        *
484        *  Insertion requires logarithmic time (if the hint is not taken).
485        */
486       template<typename... _Args>
487 	iterator
488 	emplace_hint(const_iterator __pos, _Args&&... __args)
489 	{
490 	  return _M_t._M_emplace_hint_unique(__pos,
491 					     std::forward<_Args>(__args)...);
492 	}
493 #endif
494 
495       /**
496        *  @brief Attempts to insert an element into the %set.
497        *  @param  __x  Element to be inserted.
498        *  @return  A pair, of which the first element is an iterator that points
499        *           to the possibly inserted element, and the second is a bool
500        *           that is true if the element was actually inserted.
501        *
502        *  This function attempts to insert an element into the %set.  A %set
503        *  relies on unique keys and thus an element is only inserted if it is
504        *  not already present in the %set.
505        *
506        *  Insertion requires logarithmic time.
507        */
508       std::pair<iterator, bool>
509       insert(const value_type& __x)
510       {
511 	std::pair<typename _Rep_type::iterator, bool> __p =
512 	  _M_t._M_insert_unique(__x);
513 	return std::pair<iterator, bool>(__p.first, __p.second);
514       }
515 
516 #if __cplusplus >= 201103L
517       std::pair<iterator, bool>
518       insert(value_type&& __x)
519       {
520 	std::pair<typename _Rep_type::iterator, bool> __p =
521 	  _M_t._M_insert_unique(std::move(__x));
522 	return std::pair<iterator, bool>(__p.first, __p.second);
523       }
524 #endif
525 
526       /**
527        *  @brief Attempts to insert an element into the %set.
528        *  @param  __position  An iterator that serves as a hint as to where the
529        *                    element should be inserted.
530        *  @param  __x  Element to be inserted.
531        *  @return An iterator that points to the element with key of
532        *           @a __x (may or may not be the element passed in).
533        *
534        *  This function is not concerned about whether the insertion took place,
535        *  and thus does not return a boolean like the single-argument insert()
536        *  does.  Note that the first parameter is only a hint and can
537        *  potentially improve the performance of the insertion process.  A bad
538        *  hint would cause no gains in efficiency.
539        *
540        *  For more on @a hinting, see:
541        *  https://gcc.gnu.org/onlinedocs/libstdc++/manual/associative.html#containers.associative.insert_hints
542        *
543        *  Insertion requires logarithmic time (if the hint is not taken).
544        */
545       iterator
546       insert(const_iterator __position, const value_type& __x)
547       { return _M_t._M_insert_unique_(__position, __x); }
548 
549 #if __cplusplus >= 201103L
550       iterator
551       insert(const_iterator __position, value_type&& __x)
552       { return _M_t._M_insert_unique_(__position, std::move(__x)); }
553 #endif
554 
555       /**
556        *  @brief A template function that attempts to insert a range
557        *  of elements.
558        *  @param  __first  Iterator pointing to the start of the range to be
559        *                   inserted.
560        *  @param  __last  Iterator pointing to the end of the range.
561        *
562        *  Complexity similar to that of the range constructor.
563        */
564       template<typename _InputIterator>
565 	void
566 	insert(_InputIterator __first, _InputIterator __last)
567 	{ _M_t._M_insert_range_unique(__first, __last); }
568 
569 #if __cplusplus >= 201103L
570       /**
571        *  @brief Attempts to insert a list of elements into the %set.
572        *  @param  __l  A std::initializer_list<value_type> of elements
573        *               to be inserted.
574        *
575        *  Complexity similar to that of the range constructor.
576        */
577       void
578       insert(initializer_list<value_type> __l)
579       { this->insert(__l.begin(), __l.end()); }
580 #endif
581 
582 #if __cplusplus > 201402L
583       /// Extract a node.
584       node_type
585       extract(const_iterator __pos)
586       {
587 	__glibcxx_assert(__pos != end());
588 	return _M_t.extract(__pos);
589       }
590 
591       /// Extract a node.
592       node_type
593       extract(const key_type& __x)
594       { return _M_t.extract(__x); }
595 
596       /// Re-insert an extracted node.
597       insert_return_type
598       insert(node_type&& __nh)
599       { return _M_t._M_reinsert_node_unique(std::move(__nh)); }
600 
601       /// Re-insert an extracted node.
602       iterator
603       insert(const_iterator __hint, node_type&& __nh)
604       { return _M_t._M_reinsert_node_hint_unique(__hint, std::move(__nh)); }
605 
606       template<typename, typename>
607 	friend class std::_Rb_tree_merge_helper;
608 
609       template<typename _Compare1>
610 	void
611 	merge(set<_Key, _Compare1, _Alloc>& __source)
612 	{
613 	  using _Merge_helper = _Rb_tree_merge_helper<set, _Compare1>;
614 	  _M_t._M_merge_unique(_Merge_helper::_S_get_tree(__source));
615 	}
616 
617       template<typename _Compare1>
618 	void
619 	merge(set<_Key, _Compare1, _Alloc>&& __source)
620 	{ merge(__source); }
621 
622       template<typename _Compare1>
623 	void
624 	merge(multiset<_Key, _Compare1, _Alloc>& __source)
625 	{
626 	  using _Merge_helper = _Rb_tree_merge_helper<set, _Compare1>;
627 	  _M_t._M_merge_unique(_Merge_helper::_S_get_tree(__source));
628 	}
629 
630       template<typename _Compare1>
631 	void
632 	merge(multiset<_Key, _Compare1, _Alloc>&& __source)
633 	{ merge(__source); }
634 #endif // C++17
635 
636 #if __cplusplus >= 201103L
637       // _GLIBCXX_RESOLVE_LIB_DEFECTS
638       // DR 130. Associative erase should return an iterator.
639       /**
640        *  @brief Erases an element from a %set.
641        *  @param  __position  An iterator pointing to the element to be erased.
642        *  @return An iterator pointing to the element immediately following
643        *          @a __position prior to the element being erased. If no such
644        *          element exists, end() is returned.
645        *
646        *  This function erases an element, pointed to by the given iterator,
647        *  from a %set.  Note that this function only erases the element, and
648        *  that if the element is itself a pointer, the pointed-to memory is not
649        *  touched in any way.  Managing the pointer is the user's
650        *  responsibility.
651        */
652       _GLIBCXX_ABI_TAG_CXX11
653       iterator
654       erase(const_iterator __position)
655       { return _M_t.erase(__position); }
656 #else
657       /**
658        *  @brief Erases an element from a %set.
659        *  @param  position  An iterator pointing to the element to be erased.
660        *
661        *  This function erases an element, pointed to by the given iterator,
662        *  from a %set.  Note that this function only erases the element, and
663        *  that if the element is itself a pointer, the pointed-to memory is not
664        *  touched in any way.  Managing the pointer is the user's
665        *  responsibility.
666        */
667       void
668       erase(iterator __position)
669       { _M_t.erase(__position); }
670 #endif
671 
672       /**
673        *  @brief Erases elements according to the provided key.
674        *  @param  __x  Key of element to be erased.
675        *  @return  The number of elements erased.
676        *
677        *  This function erases all the elements located by the given key from
678        *  a %set.
679        *  Note that this function only erases the element, and that if
680        *  the element is itself a pointer, the pointed-to memory is not touched
681        *  in any way.  Managing the pointer is the user's responsibility.
682        */
683       size_type
684       erase(const key_type& __x)
685       { return _M_t.erase(__x); }
686 
687 #if __cplusplus >= 201103L
688       // _GLIBCXX_RESOLVE_LIB_DEFECTS
689       // DR 130. Associative erase should return an iterator.
690       /**
691        *  @brief Erases a [__first,__last) range of elements from a %set.
692        *  @param  __first  Iterator pointing to the start of the range to be
693        *                 erased.
694 
695        *  @param __last Iterator pointing to the end of the range to
696        *  be erased.
697        *  @return The iterator @a __last.
698        *
699        *  This function erases a sequence of elements from a %set.
700        *  Note that this function only erases the element, and that if
701        *  the element is itself a pointer, the pointed-to memory is not touched
702        *  in any way.  Managing the pointer is the user's responsibility.
703        */
704       _GLIBCXX_ABI_TAG_CXX11
705       iterator
706       erase(const_iterator __first, const_iterator __last)
707       { return _M_t.erase(__first, __last); }
708 #else
709       /**
710        *  @brief Erases a [first,last) range of elements from a %set.
711        *  @param  __first  Iterator pointing to the start of the range to be
712        *                 erased.
713        *  @param __last Iterator pointing to the end of the range to
714        *  be erased.
715        *
716        *  This function erases a sequence of elements from a %set.
717        *  Note that this function only erases the element, and that if
718        *  the element is itself a pointer, the pointed-to memory is not touched
719        *  in any way.  Managing the pointer is the user's responsibility.
720        */
721       void
722       erase(iterator __first, iterator __last)
723       { _M_t.erase(__first, __last); }
724 #endif
725 
726       /**
727        *  Erases all elements in a %set.  Note that this function only erases
728        *  the elements, and that if the elements themselves are pointers, the
729        *  pointed-to memory is not touched in any way.  Managing the pointer is
730        *  the user's responsibility.
731        */
732       void
733       clear() _GLIBCXX_NOEXCEPT
734       { _M_t.clear(); }
735 
736       // set operations:
737 
738       //@{
739       /**
740        *  @brief  Finds the number of elements.
741        *  @param  __x  Element to located.
742        *  @return  Number of elements with specified key.
743        *
744        *  This function only makes sense for multisets; for set the result will
745        *  either be 0 (not present) or 1 (present).
746        */
747       size_type
748       count(const key_type& __x) const
749       { return _M_t.find(__x) == _M_t.end() ? 0 : 1; }
750 
751 #if __cplusplus > 201103L
752       template<typename _Kt>
753 	auto
754 	count(const _Kt& __x) const
755 	-> decltype(_M_t._M_count_tr(__x))
756 	{ return _M_t._M_count_tr(__x); }
757 #endif
758       //@}
759 
760 #if __cplusplus > 201703L
761       //@{
762       /**
763        *  @brief  Finds whether an element with the given key exists.
764        *  @param  __x  Key of elements to be located.
765        *  @return  True if there is an element with the specified key.
766        */
767       bool
768       contains(const key_type& __x) const
769       { return _M_t.find(__x) != _M_t.end(); }
770 
771       template<typename _Kt>
772 	auto
773 	contains(const _Kt& __x) const
774 	-> decltype(_M_t._M_find_tr(__x), void(), true)
775 	{ return _M_t._M_find_tr(__x) != _M_t.end(); }
776       //@}
777 #endif
778 
779       // _GLIBCXX_RESOLVE_LIB_DEFECTS
780       // 214.  set::find() missing const overload
781       //@{
782       /**
783        *  @brief Tries to locate an element in a %set.
784        *  @param  __x  Element to be located.
785        *  @return  Iterator pointing to sought-after element, or end() if not
786        *           found.
787        *
788        *  This function takes a key and tries to locate the element with which
789        *  the key matches.  If successful the function returns an iterator
790        *  pointing to the sought after element.  If unsuccessful it returns the
791        *  past-the-end ( @c end() ) iterator.
792        */
793       iterator
794       find(const key_type& __x)
795       { return _M_t.find(__x); }
796 
797       const_iterator
798       find(const key_type& __x) const
799       { return _M_t.find(__x); }
800 
801 #if __cplusplus > 201103L
802       template<typename _Kt>
803 	auto
804 	find(const _Kt& __x)
805 	-> decltype(iterator{_M_t._M_find_tr(__x)})
806 	{ return iterator{_M_t._M_find_tr(__x)}; }
807 
808       template<typename _Kt>
809 	auto
810 	find(const _Kt& __x) const
811 	-> decltype(const_iterator{_M_t._M_find_tr(__x)})
812 	{ return const_iterator{_M_t._M_find_tr(__x)}; }
813 #endif
814       //@}
815 
816       //@{
817       /**
818        *  @brief Finds the beginning of a subsequence matching given key.
819        *  @param  __x  Key to be located.
820        *  @return  Iterator pointing to first element equal to or greater
821        *           than key, or end().
822        *
823        *  This function returns the first element of a subsequence of elements
824        *  that matches the given key.  If unsuccessful it returns an iterator
825        *  pointing to the first element that has a greater value than given key
826        *  or end() if no such element exists.
827        */
828       iterator
829       lower_bound(const key_type& __x)
830       { return _M_t.lower_bound(__x); }
831 
832       const_iterator
833       lower_bound(const key_type& __x) const
834       { return _M_t.lower_bound(__x); }
835 
836 #if __cplusplus > 201103L
837       template<typename _Kt>
838 	auto
839 	lower_bound(const _Kt& __x)
840 	-> decltype(iterator(_M_t._M_lower_bound_tr(__x)))
841 	{ return iterator(_M_t._M_lower_bound_tr(__x)); }
842 
843       template<typename _Kt>
844 	auto
845 	lower_bound(const _Kt& __x) const
846 	-> decltype(const_iterator(_M_t._M_lower_bound_tr(__x)))
847 	{ return const_iterator(_M_t._M_lower_bound_tr(__x)); }
848 #endif
849       //@}
850 
851       //@{
852       /**
853        *  @brief Finds the end of a subsequence matching given key.
854        *  @param  __x  Key to be located.
855        *  @return Iterator pointing to the first element
856        *          greater than key, or end().
857        */
858       iterator
859       upper_bound(const key_type& __x)
860       { return _M_t.upper_bound(__x); }
861 
862       const_iterator
863       upper_bound(const key_type& __x) const
864       { return _M_t.upper_bound(__x); }
865 
866 #if __cplusplus > 201103L
867       template<typename _Kt>
868 	auto
869 	upper_bound(const _Kt& __x)
870 	-> decltype(iterator(_M_t._M_upper_bound_tr(__x)))
871 	{ return iterator(_M_t._M_upper_bound_tr(__x)); }
872 
873       template<typename _Kt>
874 	auto
875 	upper_bound(const _Kt& __x) const
876 	-> decltype(iterator(_M_t._M_upper_bound_tr(__x)))
877 	{ return const_iterator(_M_t._M_upper_bound_tr(__x)); }
878 #endif
879       //@}
880 
881       //@{
882       /**
883        *  @brief Finds a subsequence matching given key.
884        *  @param  __x  Key to be located.
885        *  @return  Pair of iterators that possibly points to the subsequence
886        *           matching given key.
887        *
888        *  This function is equivalent to
889        *  @code
890        *    std::make_pair(c.lower_bound(val),
891        *                   c.upper_bound(val))
892        *  @endcode
893        *  (but is faster than making the calls separately).
894        *
895        *  This function probably only makes sense for multisets.
896        */
897       std::pair<iterator, iterator>
898       equal_range(const key_type& __x)
899       { return _M_t.equal_range(__x); }
900 
901       std::pair<const_iterator, const_iterator>
902       equal_range(const key_type& __x) const
903       { return _M_t.equal_range(__x); }
904 
905 #if __cplusplus > 201103L
906       template<typename _Kt>
907 	auto
908 	equal_range(const _Kt& __x)
909 	-> decltype(pair<iterator, iterator>(_M_t._M_equal_range_tr(__x)))
910 	{ return pair<iterator, iterator>(_M_t._M_equal_range_tr(__x)); }
911 
912       template<typename _Kt>
913 	auto
914 	equal_range(const _Kt& __x) const
915 	-> decltype(pair<iterator, iterator>(_M_t._M_equal_range_tr(__x)))
916 	{ return pair<iterator, iterator>(_M_t._M_equal_range_tr(__x)); }
917 #endif
918       //@}
919 
920       template<typename _K1, typename _C1, typename _A1>
921 	friend bool
922 	operator==(const set<_K1, _C1, _A1>&, const set<_K1, _C1, _A1>&);
923 
924 #if __cpp_lib_three_way_comparison
925       template<typename _K1, typename _C1, typename _A1>
926 	friend __detail::__synth3way_t<_K1>
927 	operator<=>(const set<_K1, _C1, _A1>&, const set<_K1, _C1, _A1>&);
928 #else
929       template<typename _K1, typename _C1, typename _A1>
930 	friend bool
931 	operator<(const set<_K1, _C1, _A1>&, const set<_K1, _C1, _A1>&);
932 #endif
933     };
934 
935 #if __cpp_deduction_guides >= 201606
936 
937   template<typename _InputIterator,
938 	   typename _Compare =
939 	     less<typename iterator_traits<_InputIterator>::value_type>,
940 	   typename _Allocator =
941 	     allocator<typename iterator_traits<_InputIterator>::value_type>,
942 	   typename = _RequireInputIter<_InputIterator>,
943 	   typename = _RequireNotAllocator<_Compare>,
944 	   typename = _RequireAllocator<_Allocator>>
945     set(_InputIterator, _InputIterator,
946 	_Compare = _Compare(), _Allocator = _Allocator())
947     -> set<typename iterator_traits<_InputIterator>::value_type,
948 	  _Compare, _Allocator>;
949 
950   template<typename _Key, typename _Compare = less<_Key>,
951 	   typename _Allocator = allocator<_Key>,
952 	   typename = _RequireNotAllocator<_Compare>,
953 	   typename = _RequireAllocator<_Allocator>>
954     set(initializer_list<_Key>,
955 	_Compare = _Compare(), _Allocator = _Allocator())
956     -> set<_Key, _Compare, _Allocator>;
957 
958   template<typename _InputIterator, typename _Allocator,
959 	   typename = _RequireInputIter<_InputIterator>,
960 	   typename = _RequireAllocator<_Allocator>>
961     set(_InputIterator, _InputIterator, _Allocator)
962     -> set<typename iterator_traits<_InputIterator>::value_type,
963 	   less<typename iterator_traits<_InputIterator>::value_type>,
964 	   _Allocator>;
965 
966   template<typename _Key, typename _Allocator,
967 	   typename = _RequireAllocator<_Allocator>>
968     set(initializer_list<_Key>, _Allocator)
969     -> set<_Key, less<_Key>, _Allocator>;
970 
971 #endif // deduction guides
972 
973   /**
974    *  @brief  Set equality comparison.
975    *  @param  __x  A %set.
976    *  @param  __y  A %set of the same type as @a x.
977    *  @return  True iff the size and elements of the sets are equal.
978    *
979    *  This is an equivalence relation.  It is linear in the size of the sets.
980    *  Sets are considered equivalent if their sizes are equal, and if
981    *  corresponding elements compare equal.
982   */
983   template<typename _Key, typename _Compare, typename _Alloc>
984     inline bool
985     operator==(const set<_Key, _Compare, _Alloc>& __x,
986 	       const set<_Key, _Compare, _Alloc>& __y)
987     { return __x._M_t == __y._M_t; }
988 
989 #if __cpp_lib_three_way_comparison
990   /**
991    *  @brief  Set ordering relation.
992    *  @param  __x  A `set`.
993    *  @param  __y  A `set` of the same type as `x`.
994    *  @return  A value indicating whether `__x` is less than, equal to,
995    *           greater than, or incomparable with `__y`.
996    *
997    *  This is a total ordering relation.  It is linear in the size of the
998    *  maps.  The elements must be comparable with @c <.
999    *
1000    *  See `std::lexicographical_compare_three_way()` for how the determination
1001    *  is made. This operator is used to synthesize relational operators like
1002    *  `<` and `>=` etc.
1003   */
1004   template<typename _Key, typename _Compare, typename _Alloc>
1005     inline __detail::__synth3way_t<_Key>
1006     operator<=>(const set<_Key, _Compare, _Alloc>& __x,
1007 		const set<_Key, _Compare, _Alloc>& __y)
1008     { return __x._M_t <=> __y._M_t; }
1009 #else
1010   /**
1011    *  @brief  Set ordering relation.
1012    *  @param  __x  A %set.
1013    *  @param  __y  A %set of the same type as @a x.
1014    *  @return  True iff @a __x is lexicographically less than @a __y.
1015    *
1016    *  This is a total ordering relation.  It is linear in the size of the
1017    *  sets.  The elements must be comparable with @c <.
1018    *
1019    *  See std::lexicographical_compare() for how the determination is made.
1020   */
1021   template<typename _Key, typename _Compare, typename _Alloc>
1022     inline bool
1023     operator<(const set<_Key, _Compare, _Alloc>& __x,
1024 	      const set<_Key, _Compare, _Alloc>& __y)
1025     { return __x._M_t < __y._M_t; }
1026 
1027   ///  Returns !(x == y).
1028   template<typename _Key, typename _Compare, typename _Alloc>
1029     inline bool
1030     operator!=(const set<_Key, _Compare, _Alloc>& __x,
1031 	       const set<_Key, _Compare, _Alloc>& __y)
1032     { return !(__x == __y); }
1033 
1034   ///  Returns y < x.
1035   template<typename _Key, typename _Compare, typename _Alloc>
1036     inline bool
1037     operator>(const set<_Key, _Compare, _Alloc>& __x,
1038 	      const set<_Key, _Compare, _Alloc>& __y)
1039     { return __y < __x; }
1040 
1041   ///  Returns !(y < x)
1042   template<typename _Key, typename _Compare, typename _Alloc>
1043     inline bool
1044     operator<=(const set<_Key, _Compare, _Alloc>& __x,
1045 	       const set<_Key, _Compare, _Alloc>& __y)
1046     { return !(__y < __x); }
1047 
1048   ///  Returns !(x < y)
1049   template<typename _Key, typename _Compare, typename _Alloc>
1050     inline bool
1051     operator>=(const set<_Key, _Compare, _Alloc>& __x,
1052 	       const set<_Key, _Compare, _Alloc>& __y)
1053     { return !(__x < __y); }
1054 #endif // three-way comparison
1055 
1056   /// See std::set::swap().
1057   template<typename _Key, typename _Compare, typename _Alloc>
1058     inline void
1059     swap(set<_Key, _Compare, _Alloc>& __x, set<_Key, _Compare, _Alloc>& __y)
1060     _GLIBCXX_NOEXCEPT_IF(noexcept(__x.swap(__y)))
1061     { __x.swap(__y); }
1062 
1063 _GLIBCXX_END_NAMESPACE_CONTAINER
1064 
1065 #if __cplusplus > 201402L
1066   // Allow std::set access to internals of compatible sets.
1067   template<typename _Val, typename _Cmp1, typename _Alloc, typename _Cmp2>
1068     struct
1069     _Rb_tree_merge_helper<_GLIBCXX_STD_C::set<_Val, _Cmp1, _Alloc>, _Cmp2>
1070     {
1071     private:
1072       friend class _GLIBCXX_STD_C::set<_Val, _Cmp1, _Alloc>;
1073 
1074       static auto&
1075       _S_get_tree(_GLIBCXX_STD_C::set<_Val, _Cmp2, _Alloc>& __set)
1076       { return __set._M_t; }
1077 
1078       static auto&
1079       _S_get_tree(_GLIBCXX_STD_C::multiset<_Val, _Cmp2, _Alloc>& __set)
1080       { return __set._M_t; }
1081     };
1082 #endif // C++17
1083 
1084 _GLIBCXX_END_NAMESPACE_VERSION
1085 } //namespace std
1086 #endif /* _STL_SET_H */
1087