1// RB tree implementation -*- C++ -*-
2
3// Copyright (C) 2001-2013 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) 1996,1997
28 * Silicon Graphics Computer Systems, Inc.
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.  Silicon Graphics 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) 1994
40 * Hewlett-Packard Company
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.  Hewlett-Packard Company 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 */
52
53/** @file bits/stl_tree.h
54 *  This is an internal header file, included by other library headers.
55 *  Do not attempt to use it directly. @headername{map,set}
56 */
57
58#ifndef _STL_TREE_H
59#define _STL_TREE_H 1
60
61#include <bits/stl_algobase.h>
62#include <bits/allocator.h>
63#include <bits/stl_function.h>
64#include <bits/cpp_type_traits.h>
65#if __cplusplus >= 201103L
66#include <bits/alloc_traits.h>
67#endif
68
69namespace std _GLIBCXX_VISIBILITY(default)
70{
71_GLIBCXX_BEGIN_NAMESPACE_VERSION
72
73  // Red-black tree class, designed for use in implementing STL
74  // associative containers (set, multiset, map, and multimap). The
75  // insertion and deletion algorithms are based on those in Cormen,
76  // Leiserson, and Rivest, Introduction to Algorithms (MIT Press,
77  // 1990), except that
78  //
79  // (1) the header cell is maintained with links not only to the root
80  // but also to the leftmost node of the tree, to enable constant
81  // time begin(), and to the rightmost node of the tree, to enable
82  // linear time performance when used with the generic set algorithms
83  // (set_union, etc.)
84  //
85  // (2) when a node being deleted has two children its successor node
86  // is relinked into its place, rather than copied, so that the only
87  // iterators invalidated are those referring to the deleted node.
88
89  enum _Rb_tree_color { _S_red = false, _S_black = true };
90
91  struct _Rb_tree_node_base
92  {
93    typedef _Rb_tree_node_base* _Base_ptr;
94    typedef const _Rb_tree_node_base* _Const_Base_ptr;
95
96    _Rb_tree_color	_M_color;
97    _Base_ptr		_M_parent;
98    _Base_ptr		_M_left;
99    _Base_ptr		_M_right;
100
101    static _Base_ptr
102    _S_minimum(_Base_ptr __x)
103    {
104      while (__x->_M_left != 0) __x = __x->_M_left;
105      return __x;
106    }
107
108    static _Const_Base_ptr
109    _S_minimum(_Const_Base_ptr __x)
110    {
111      while (__x->_M_left != 0) __x = __x->_M_left;
112      return __x;
113    }
114
115    static _Base_ptr
116    _S_maximum(_Base_ptr __x)
117    {
118      while (__x->_M_right != 0) __x = __x->_M_right;
119      return __x;
120    }
121
122    static _Const_Base_ptr
123    _S_maximum(_Const_Base_ptr __x)
124    {
125      while (__x->_M_right != 0) __x = __x->_M_right;
126      return __x;
127    }
128  };
129
130  template<typename _Val>
131    struct _Rb_tree_node : public _Rb_tree_node_base
132    {
133      typedef _Rb_tree_node<_Val>* _Link_type;
134      _Val _M_value_field;
135
136#if __cplusplus >= 201103L
137      template<typename... _Args>
138        _Rb_tree_node(_Args&&... __args)
139	: _Rb_tree_node_base(),
140	  _M_value_field(std::forward<_Args>(__args)...) { }
141#endif
142    };
143
144  _GLIBCXX_PURE _Rb_tree_node_base*
145  _Rb_tree_increment(_Rb_tree_node_base* __x) throw ();
146
147  _GLIBCXX_PURE const _Rb_tree_node_base*
148  _Rb_tree_increment(const _Rb_tree_node_base* __x) throw ();
149
150  _GLIBCXX_PURE _Rb_tree_node_base*
151  _Rb_tree_decrement(_Rb_tree_node_base* __x) throw ();
152
153  _GLIBCXX_PURE const _Rb_tree_node_base*
154  _Rb_tree_decrement(const _Rb_tree_node_base* __x) throw ();
155
156  template<typename _Tp>
157    struct _Rb_tree_iterator
158    {
159      typedef _Tp  value_type;
160      typedef _Tp& reference;
161      typedef _Tp* pointer;
162
163      typedef bidirectional_iterator_tag iterator_category;
164      typedef ptrdiff_t                  difference_type;
165
166      typedef _Rb_tree_iterator<_Tp>        _Self;
167      typedef _Rb_tree_node_base::_Base_ptr _Base_ptr;
168      typedef _Rb_tree_node<_Tp>*           _Link_type;
169
170      _Rb_tree_iterator()
171      : _M_node() { }
172
173      explicit
174      _Rb_tree_iterator(_Link_type __x)
175      : _M_node(__x) { }
176
177      reference
178      operator*() const
179      { return static_cast<_Link_type>(_M_node)->_M_value_field; }
180
181      pointer
182      operator->() const
183      { return std::__addressof(static_cast<_Link_type>
184				(_M_node)->_M_value_field); }
185
186      _Self&
187      operator++()
188      {
189	_M_node = _Rb_tree_increment(_M_node);
190	return *this;
191      }
192
193      _Self
194      operator++(int)
195      {
196	_Self __tmp = *this;
197	_M_node = _Rb_tree_increment(_M_node);
198	return __tmp;
199      }
200
201      _Self&
202      operator--()
203      {
204	_M_node = _Rb_tree_decrement(_M_node);
205	return *this;
206      }
207
208      _Self
209      operator--(int)
210      {
211	_Self __tmp = *this;
212	_M_node = _Rb_tree_decrement(_M_node);
213	return __tmp;
214      }
215
216      bool
217      operator==(const _Self& __x) const
218      { return _M_node == __x._M_node; }
219
220      bool
221      operator!=(const _Self& __x) const
222      { return _M_node != __x._M_node; }
223
224      _Base_ptr _M_node;
225  };
226
227  template<typename _Tp>
228    struct _Rb_tree_const_iterator
229    {
230      typedef _Tp        value_type;
231      typedef const _Tp& reference;
232      typedef const _Tp* pointer;
233
234      typedef _Rb_tree_iterator<_Tp> iterator;
235
236      typedef bidirectional_iterator_tag iterator_category;
237      typedef ptrdiff_t                  difference_type;
238
239      typedef _Rb_tree_const_iterator<_Tp>        _Self;
240      typedef _Rb_tree_node_base::_Const_Base_ptr _Base_ptr;
241      typedef const _Rb_tree_node<_Tp>*           _Link_type;
242
243      _Rb_tree_const_iterator()
244      : _M_node() { }
245
246      explicit
247      _Rb_tree_const_iterator(_Link_type __x)
248      : _M_node(__x) { }
249
250      _Rb_tree_const_iterator(const iterator& __it)
251      : _M_node(__it._M_node) { }
252
253      iterator
254      _M_const_cast() const
255      { return iterator(static_cast<typename iterator::_Link_type>
256			(const_cast<typename iterator::_Base_ptr>(_M_node))); }
257
258      reference
259      operator*() const
260      { return static_cast<_Link_type>(_M_node)->_M_value_field; }
261
262      pointer
263      operator->() const
264      { return std::__addressof(static_cast<_Link_type>
265				(_M_node)->_M_value_field); }
266
267      _Self&
268      operator++()
269      {
270	_M_node = _Rb_tree_increment(_M_node);
271	return *this;
272      }
273
274      _Self
275      operator++(int)
276      {
277	_Self __tmp = *this;
278	_M_node = _Rb_tree_increment(_M_node);
279	return __tmp;
280      }
281
282      _Self&
283      operator--()
284      {
285	_M_node = _Rb_tree_decrement(_M_node);
286	return *this;
287      }
288
289      _Self
290      operator--(int)
291      {
292	_Self __tmp = *this;
293	_M_node = _Rb_tree_decrement(_M_node);
294	return __tmp;
295      }
296
297      bool
298      operator==(const _Self& __x) const
299      { return _M_node == __x._M_node; }
300
301      bool
302      operator!=(const _Self& __x) const
303      { return _M_node != __x._M_node; }
304
305      _Base_ptr _M_node;
306    };
307
308  template<typename _Val>
309    inline bool
310    operator==(const _Rb_tree_iterator<_Val>& __x,
311               const _Rb_tree_const_iterator<_Val>& __y)
312    { return __x._M_node == __y._M_node; }
313
314  template<typename _Val>
315    inline bool
316    operator!=(const _Rb_tree_iterator<_Val>& __x,
317               const _Rb_tree_const_iterator<_Val>& __y)
318    { return __x._M_node != __y._M_node; }
319
320  void
321  _Rb_tree_insert_and_rebalance(const bool __insert_left,
322                                _Rb_tree_node_base* __x,
323                                _Rb_tree_node_base* __p,
324                                _Rb_tree_node_base& __header) throw ();
325
326  _Rb_tree_node_base*
327  _Rb_tree_rebalance_for_erase(_Rb_tree_node_base* const __z,
328			       _Rb_tree_node_base& __header) throw ();
329
330
331  template<typename _Key, typename _Val, typename _KeyOfValue,
332           typename _Compare, typename _Alloc = allocator<_Val> >
333    class _Rb_tree
334    {
335      typedef typename _Alloc::template rebind<_Rb_tree_node<_Val> >::other
336              _Node_allocator;
337
338    protected:
339      typedef _Rb_tree_node_base* 		_Base_ptr;
340      typedef const _Rb_tree_node_base* 	_Const_Base_ptr;
341
342    public:
343      typedef _Key 				key_type;
344      typedef _Val 				value_type;
345      typedef value_type* 			pointer;
346      typedef const value_type* 		const_pointer;
347      typedef value_type& 			reference;
348      typedef const value_type& 		const_reference;
349      typedef _Rb_tree_node<_Val>* 		_Link_type;
350      typedef const _Rb_tree_node<_Val>*	_Const_Link_type;
351      typedef size_t 				size_type;
352      typedef ptrdiff_t 			difference_type;
353      typedef _Alloc 				allocator_type;
354
355      _Node_allocator&
356      _M_get_Node_allocator() _GLIBCXX_NOEXCEPT
357      { return *static_cast<_Node_allocator*>(&this->_M_impl); }
358
359      const _Node_allocator&
360      _M_get_Node_allocator() const _GLIBCXX_NOEXCEPT
361      { return *static_cast<const _Node_allocator*>(&this->_M_impl); }
362
363      allocator_type
364      get_allocator() const _GLIBCXX_NOEXCEPT
365      { return allocator_type(_M_get_Node_allocator()); }
366
367    protected:
368      _Link_type
369      _M_get_node()
370      { return _M_impl._Node_allocator::allocate(1); }
371
372      void
373      _M_put_node(_Link_type __p)
374      { _M_impl._Node_allocator::deallocate(__p, 1); }
375
376#if __cplusplus < 201103L
377      _Link_type
378      _M_create_node(const value_type& __x)
379      {
380	_Link_type __tmp = _M_get_node();
381	__try
382	  { get_allocator().construct
383	      (std::__addressof(__tmp->_M_value_field), __x); }
384	__catch(...)
385	  {
386	    _M_put_node(__tmp);
387	    __throw_exception_again;
388	  }
389	return __tmp;
390      }
391
392      void
393      _M_destroy_node(_Link_type __p)
394      {
395	get_allocator().destroy(std::__addressof(__p->_M_value_field));
396	_M_put_node(__p);
397      }
398#else
399      template<typename... _Args>
400        _Link_type
401        _M_create_node(_Args&&... __args)
402	{
403	  _Link_type __tmp = _M_get_node();
404	  __try
405	    {
406	      allocator_traits<_Node_allocator>::
407		construct(_M_get_Node_allocator(), __tmp,
408			  std::forward<_Args>(__args)...);
409	    }
410	  __catch(...)
411	    {
412	      _M_put_node(__tmp);
413	      __throw_exception_again;
414	    }
415	  return __tmp;
416	}
417
418      void
419      _M_destroy_node(_Link_type __p)
420      {
421	_M_get_Node_allocator().destroy(__p);
422	_M_put_node(__p);
423      }
424#endif
425
426      _Link_type
427      _M_clone_node(_Const_Link_type __x)
428      {
429	_Link_type __tmp = _M_create_node(__x->_M_value_field);
430	__tmp->_M_color = __x->_M_color;
431	__tmp->_M_left = 0;
432	__tmp->_M_right = 0;
433	return __tmp;
434      }
435
436    protected:
437      template<typename _Key_compare,
438	       bool _Is_pod_comparator = __is_pod(_Key_compare)>
439        struct _Rb_tree_impl : public _Node_allocator
440        {
441	  _Key_compare		_M_key_compare;
442	  _Rb_tree_node_base 	_M_header;
443	  size_type 		_M_node_count; // Keeps track of size of tree.
444
445	  _Rb_tree_impl()
446	  : _Node_allocator(), _M_key_compare(), _M_header(),
447	    _M_node_count(0)
448	  { _M_initialize(); }
449
450	  _Rb_tree_impl(const _Key_compare& __comp, const _Node_allocator& __a)
451	  : _Node_allocator(__a), _M_key_compare(__comp), _M_header(),
452	    _M_node_count(0)
453	  { _M_initialize(); }
454
455#if __cplusplus >= 201103L
456	  _Rb_tree_impl(const _Key_compare& __comp, _Node_allocator&& __a)
457	  : _Node_allocator(std::move(__a)), _M_key_compare(__comp),
458	    _M_header(), _M_node_count(0)
459	  { _M_initialize(); }
460#endif
461
462	private:
463	  void
464	  _M_initialize()
465	  {
466	    this->_M_header._M_color = _S_red;
467	    this->_M_header._M_parent = 0;
468	    this->_M_header._M_left = &this->_M_header;
469	    this->_M_header._M_right = &this->_M_header;
470	  }
471	};
472
473      _Rb_tree_impl<_Compare> _M_impl;
474
475    protected:
476      _Base_ptr&
477      _M_root()
478      { return this->_M_impl._M_header._M_parent; }
479
480      _Const_Base_ptr
481      _M_root() const
482      { return this->_M_impl._M_header._M_parent; }
483
484      _Base_ptr&
485      _M_leftmost()
486      { return this->_M_impl._M_header._M_left; }
487
488      _Const_Base_ptr
489      _M_leftmost() const
490      { return this->_M_impl._M_header._M_left; }
491
492      _Base_ptr&
493      _M_rightmost()
494      { return this->_M_impl._M_header._M_right; }
495
496      _Const_Base_ptr
497      _M_rightmost() const
498      { return this->_M_impl._M_header._M_right; }
499
500      _Link_type
501      _M_begin()
502      { return static_cast<_Link_type>(this->_M_impl._M_header._M_parent); }
503
504      _Const_Link_type
505      _M_begin() const
506      {
507	return static_cast<_Const_Link_type>
508	  (this->_M_impl._M_header._M_parent);
509      }
510
511      _Link_type
512      _M_end()
513      { return static_cast<_Link_type>(&this->_M_impl._M_header); }
514
515      _Const_Link_type
516      _M_end() const
517      { return static_cast<_Const_Link_type>(&this->_M_impl._M_header); }
518
519      static const_reference
520      _S_value(_Const_Link_type __x)
521      { return __x->_M_value_field; }
522
523      static const _Key&
524      _S_key(_Const_Link_type __x)
525      { return _KeyOfValue()(_S_value(__x)); }
526
527      static _Link_type
528      _S_left(_Base_ptr __x)
529      { return static_cast<_Link_type>(__x->_M_left); }
530
531      static _Const_Link_type
532      _S_left(_Const_Base_ptr __x)
533      { return static_cast<_Const_Link_type>(__x->_M_left); }
534
535      static _Link_type
536      _S_right(_Base_ptr __x)
537      { return static_cast<_Link_type>(__x->_M_right); }
538
539      static _Const_Link_type
540      _S_right(_Const_Base_ptr __x)
541      { return static_cast<_Const_Link_type>(__x->_M_right); }
542
543      static const_reference
544      _S_value(_Const_Base_ptr __x)
545      { return static_cast<_Const_Link_type>(__x)->_M_value_field; }
546
547      static const _Key&
548      _S_key(_Const_Base_ptr __x)
549      { return _KeyOfValue()(_S_value(__x)); }
550
551      static _Base_ptr
552      _S_minimum(_Base_ptr __x)
553      { return _Rb_tree_node_base::_S_minimum(__x); }
554
555      static _Const_Base_ptr
556      _S_minimum(_Const_Base_ptr __x)
557      { return _Rb_tree_node_base::_S_minimum(__x); }
558
559      static _Base_ptr
560      _S_maximum(_Base_ptr __x)
561      { return _Rb_tree_node_base::_S_maximum(__x); }
562
563      static _Const_Base_ptr
564      _S_maximum(_Const_Base_ptr __x)
565      { return _Rb_tree_node_base::_S_maximum(__x); }
566
567    public:
568      typedef _Rb_tree_iterator<value_type>       iterator;
569      typedef _Rb_tree_const_iterator<value_type> const_iterator;
570
571      typedef std::reverse_iterator<iterator>       reverse_iterator;
572      typedef std::reverse_iterator<const_iterator> const_reverse_iterator;
573
574    private:
575      pair<_Base_ptr, _Base_ptr>
576      _M_get_insert_unique_pos(const key_type& __k);
577
578      pair<_Base_ptr, _Base_ptr>
579      _M_get_insert_equal_pos(const key_type& __k);
580
581      pair<_Base_ptr, _Base_ptr>
582      _M_get_insert_hint_unique_pos(const_iterator __pos,
583				    const key_type& __k);
584
585      pair<_Base_ptr, _Base_ptr>
586      _M_get_insert_hint_equal_pos(const_iterator __pos,
587				   const key_type& __k);
588
589#if __cplusplus >= 201103L
590      template<typename _Arg>
591        iterator
592        _M_insert_(_Base_ptr __x, _Base_ptr __y, _Arg&& __v);
593
594      iterator
595      _M_insert_node(_Base_ptr __x, _Base_ptr __y, _Link_type __z);
596
597      template<typename _Arg>
598        iterator
599        _M_insert_lower(_Base_ptr __y, _Arg&& __v);
600
601      template<typename _Arg>
602        iterator
603        _M_insert_equal_lower(_Arg&& __x);
604
605      iterator
606      _M_insert_lower_node(_Base_ptr __p, _Link_type __z);
607
608      iterator
609      _M_insert_equal_lower_node(_Link_type __z);
610#else
611      iterator
612      _M_insert_(_Base_ptr __x, _Base_ptr __y,
613		 const value_type& __v);
614
615      // _GLIBCXX_RESOLVE_LIB_DEFECTS
616      // 233. Insertion hints in associative containers.
617      iterator
618      _M_insert_lower(_Base_ptr __y, const value_type& __v);
619
620      iterator
621      _M_insert_equal_lower(const value_type& __x);
622#endif
623
624      _Link_type
625      _M_copy(_Const_Link_type __x, _Link_type __p);
626
627      void
628      _M_erase(_Link_type __x);
629
630      iterator
631      _M_lower_bound(_Link_type __x, _Link_type __y,
632		     const _Key& __k);
633
634      const_iterator
635      _M_lower_bound(_Const_Link_type __x, _Const_Link_type __y,
636		     const _Key& __k) const;
637
638      iterator
639      _M_upper_bound(_Link_type __x, _Link_type __y,
640		     const _Key& __k);
641
642      const_iterator
643      _M_upper_bound(_Const_Link_type __x, _Const_Link_type __y,
644		     const _Key& __k) const;
645
646    public:
647      // allocation/deallocation
648      _Rb_tree() { }
649
650      _Rb_tree(const _Compare& __comp,
651	       const allocator_type& __a = allocator_type())
652      : _M_impl(__comp, _Node_allocator(__a)) { }
653
654      _Rb_tree(const _Rb_tree& __x)
655      : _M_impl(__x._M_impl._M_key_compare, __x._M_get_Node_allocator())
656      {
657	if (__x._M_root() != 0)
658	  {
659	    _M_root() = _M_copy(__x._M_begin(), _M_end());
660	    _M_leftmost() = _S_minimum(_M_root());
661	    _M_rightmost() = _S_maximum(_M_root());
662	    _M_impl._M_node_count = __x._M_impl._M_node_count;
663	  }
664      }
665
666#if __cplusplus >= 201103L
667      _Rb_tree(_Rb_tree&& __x);
668#endif
669
670      ~_Rb_tree() _GLIBCXX_NOEXCEPT
671      { _M_erase(_M_begin()); }
672
673      _Rb_tree&
674      operator=(const _Rb_tree& __x);
675
676      // Accessors.
677      _Compare
678      key_comp() const
679      { return _M_impl._M_key_compare; }
680
681      iterator
682      begin() _GLIBCXX_NOEXCEPT
683      {
684	return iterator(static_cast<_Link_type>
685			(this->_M_impl._M_header._M_left));
686      }
687
688      const_iterator
689      begin() const _GLIBCXX_NOEXCEPT
690      {
691	return const_iterator(static_cast<_Const_Link_type>
692			      (this->_M_impl._M_header._M_left));
693      }
694
695      iterator
696      end() _GLIBCXX_NOEXCEPT
697      { return iterator(static_cast<_Link_type>(&this->_M_impl._M_header)); }
698
699      const_iterator
700      end() const _GLIBCXX_NOEXCEPT
701      {
702	return const_iterator(static_cast<_Const_Link_type>
703			      (&this->_M_impl._M_header));
704      }
705
706      reverse_iterator
707      rbegin() _GLIBCXX_NOEXCEPT
708      { return reverse_iterator(end()); }
709
710      const_reverse_iterator
711      rbegin() const _GLIBCXX_NOEXCEPT
712      { return const_reverse_iterator(end()); }
713
714      reverse_iterator
715      rend() _GLIBCXX_NOEXCEPT
716      { return reverse_iterator(begin()); }
717
718      const_reverse_iterator
719      rend() const _GLIBCXX_NOEXCEPT
720      { return const_reverse_iterator(begin()); }
721
722      bool
723      empty() const _GLIBCXX_NOEXCEPT
724      { return _M_impl._M_node_count == 0; }
725
726      size_type
727      size() const _GLIBCXX_NOEXCEPT
728      { return _M_impl._M_node_count; }
729
730      size_type
731      max_size() const _GLIBCXX_NOEXCEPT
732      { return _M_get_Node_allocator().max_size(); }
733
734      void
735      swap(_Rb_tree& __t);
736
737      // Insert/erase.
738#if __cplusplus >= 201103L
739      template<typename _Arg>
740        pair<iterator, bool>
741        _M_insert_unique(_Arg&& __x);
742
743      template<typename _Arg>
744        iterator
745        _M_insert_equal(_Arg&& __x);
746
747      template<typename _Arg>
748        iterator
749        _M_insert_unique_(const_iterator __position, _Arg&& __x);
750
751      template<typename _Arg>
752        iterator
753        _M_insert_equal_(const_iterator __position, _Arg&& __x);
754
755      template<typename... _Args>
756	pair<iterator, bool>
757	_M_emplace_unique(_Args&&... __args);
758
759      template<typename... _Args>
760	iterator
761	_M_emplace_equal(_Args&&... __args);
762
763      template<typename... _Args>
764	iterator
765	_M_emplace_hint_unique(const_iterator __pos, _Args&&... __args);
766
767      template<typename... _Args>
768	iterator
769	_M_emplace_hint_equal(const_iterator __pos, _Args&&... __args);
770#else
771      pair<iterator, bool>
772      _M_insert_unique(const value_type& __x);
773
774      iterator
775      _M_insert_equal(const value_type& __x);
776
777      iterator
778      _M_insert_unique_(const_iterator __position, const value_type& __x);
779
780      iterator
781      _M_insert_equal_(const_iterator __position, const value_type& __x);
782#endif
783
784      template<typename _InputIterator>
785        void
786        _M_insert_unique(_InputIterator __first, _InputIterator __last);
787
788      template<typename _InputIterator>
789        void
790        _M_insert_equal(_InputIterator __first, _InputIterator __last);
791
792    private:
793      void
794      _M_erase_aux(const_iterator __position);
795
796      void
797      _M_erase_aux(const_iterator __first, const_iterator __last);
798
799    public:
800#if __cplusplus >= 201103L
801      // _GLIBCXX_RESOLVE_LIB_DEFECTS
802      // DR 130. Associative erase should return an iterator.
803      _GLIBCXX_ABI_TAG_CXX11
804      iterator
805      erase(const_iterator __position)
806      {
807	const_iterator __result = __position;
808	++__result;
809	_M_erase_aux(__position);
810	return __result._M_const_cast();
811      }
812
813      // LWG 2059.
814      _GLIBCXX_ABI_TAG_CXX11
815      iterator
816      erase(iterator __position)
817      {
818	iterator __result = __position;
819	++__result;
820	_M_erase_aux(__position);
821	return __result;
822      }
823#else
824      void
825      erase(iterator __position)
826      { _M_erase_aux(__position); }
827
828      void
829      erase(const_iterator __position)
830      { _M_erase_aux(__position); }
831#endif
832      size_type
833      erase(const key_type& __x);
834
835#if __cplusplus >= 201103L
836      // _GLIBCXX_RESOLVE_LIB_DEFECTS
837      // DR 130. Associative erase should return an iterator.
838      _GLIBCXX_ABI_TAG_CXX11
839      iterator
840      erase(const_iterator __first, const_iterator __last)
841      {
842	_M_erase_aux(__first, __last);
843	return __last._M_const_cast();
844      }
845#else
846      void
847      erase(iterator __first, iterator __last)
848      { _M_erase_aux(__first, __last); }
849
850      void
851      erase(const_iterator __first, const_iterator __last)
852      { _M_erase_aux(__first, __last); }
853#endif
854      void
855      erase(const key_type* __first, const key_type* __last);
856
857      void
858      clear() _GLIBCXX_NOEXCEPT
859      {
860        _M_erase(_M_begin());
861        _M_leftmost() = _M_end();
862        _M_root() = 0;
863        _M_rightmost() = _M_end();
864        _M_impl._M_node_count = 0;
865      }
866
867      // Set operations.
868      iterator
869      find(const key_type& __k);
870
871      const_iterator
872      find(const key_type& __k) const;
873
874      size_type
875      count(const key_type& __k) const;
876
877      iterator
878      lower_bound(const key_type& __k)
879      { return _M_lower_bound(_M_begin(), _M_end(), __k); }
880
881      const_iterator
882      lower_bound(const key_type& __k) const
883      { return _M_lower_bound(_M_begin(), _M_end(), __k); }
884
885      iterator
886      upper_bound(const key_type& __k)
887      { return _M_upper_bound(_M_begin(), _M_end(), __k); }
888
889      const_iterator
890      upper_bound(const key_type& __k) const
891      { return _M_upper_bound(_M_begin(), _M_end(), __k); }
892
893      pair<iterator, iterator>
894      equal_range(const key_type& __k);
895
896      pair<const_iterator, const_iterator>
897      equal_range(const key_type& __k) const;
898
899      // Debugging.
900      bool
901      __rb_verify() const;
902    };
903
904  template<typename _Key, typename _Val, typename _KeyOfValue,
905           typename _Compare, typename _Alloc>
906    inline bool
907    operator==(const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __x,
908	       const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __y)
909    {
910      return __x.size() == __y.size()
911	     && std::equal(__x.begin(), __x.end(), __y.begin());
912    }
913
914  template<typename _Key, typename _Val, typename _KeyOfValue,
915           typename _Compare, typename _Alloc>
916    inline bool
917    operator<(const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __x,
918	      const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __y)
919    {
920      return std::lexicographical_compare(__x.begin(), __x.end(),
921					  __y.begin(), __y.end());
922    }
923
924  template<typename _Key, typename _Val, typename _KeyOfValue,
925           typename _Compare, typename _Alloc>
926    inline bool
927    operator!=(const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __x,
928	       const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __y)
929    { return !(__x == __y); }
930
931  template<typename _Key, typename _Val, typename _KeyOfValue,
932           typename _Compare, typename _Alloc>
933    inline bool
934    operator>(const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __x,
935	      const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __y)
936    { return __y < __x; }
937
938  template<typename _Key, typename _Val, typename _KeyOfValue,
939           typename _Compare, typename _Alloc>
940    inline bool
941    operator<=(const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __x,
942	       const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __y)
943    { return !(__y < __x); }
944
945  template<typename _Key, typename _Val, typename _KeyOfValue,
946           typename _Compare, typename _Alloc>
947    inline bool
948    operator>=(const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __x,
949	       const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __y)
950    { return !(__x < __y); }
951
952  template<typename _Key, typename _Val, typename _KeyOfValue,
953           typename _Compare, typename _Alloc>
954    inline void
955    swap(_Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __x,
956	 _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __y)
957    { __x.swap(__y); }
958
959#if __cplusplus >= 201103L
960  template<typename _Key, typename _Val, typename _KeyOfValue,
961           typename _Compare, typename _Alloc>
962    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
963    _Rb_tree(_Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>&& __x)
964    : _M_impl(__x._M_impl._M_key_compare,
965	      std::move(__x._M_get_Node_allocator()))
966    {
967      if (__x._M_root() != 0)
968	{
969	  _M_root() = __x._M_root();
970	  _M_leftmost() = __x._M_leftmost();
971	  _M_rightmost() = __x._M_rightmost();
972	  _M_root()->_M_parent = _M_end();
973
974	  __x._M_root() = 0;
975	  __x._M_leftmost() = __x._M_end();
976	  __x._M_rightmost() = __x._M_end();
977
978	  this->_M_impl._M_node_count = __x._M_impl._M_node_count;
979	  __x._M_impl._M_node_count = 0;
980	}
981    }
982#endif
983
984  template<typename _Key, typename _Val, typename _KeyOfValue,
985           typename _Compare, typename _Alloc>
986    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>&
987    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
988    operator=(const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __x)
989    {
990      if (this != &__x)
991	{
992	  // Note that _Key may be a constant type.
993	  clear();
994	  _M_impl._M_key_compare = __x._M_impl._M_key_compare;
995	  if (__x._M_root() != 0)
996	    {
997	      _M_root() = _M_copy(__x._M_begin(), _M_end());
998	      _M_leftmost() = _S_minimum(_M_root());
999	      _M_rightmost() = _S_maximum(_M_root());
1000	      _M_impl._M_node_count = __x._M_impl._M_node_count;
1001	    }
1002	}
1003      return *this;
1004    }
1005
1006  template<typename _Key, typename _Val, typename _KeyOfValue,
1007           typename _Compare, typename _Alloc>
1008#if __cplusplus >= 201103L
1009    template<typename _Arg>
1010#endif
1011    typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
1012    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1013#if __cplusplus >= 201103L
1014    _M_insert_(_Base_ptr __x, _Base_ptr __p, _Arg&& __v)
1015#else
1016    _M_insert_(_Base_ptr __x, _Base_ptr __p, const _Val& __v)
1017#endif
1018    {
1019      bool __insert_left = (__x != 0 || __p == _M_end()
1020			    || _M_impl._M_key_compare(_KeyOfValue()(__v),
1021						      _S_key(__p)));
1022
1023      _Link_type __z = _M_create_node(_GLIBCXX_FORWARD(_Arg, __v));
1024
1025      _Rb_tree_insert_and_rebalance(__insert_left, __z, __p,
1026				    this->_M_impl._M_header);
1027      ++_M_impl._M_node_count;
1028      return iterator(__z);
1029    }
1030
1031  template<typename _Key, typename _Val, typename _KeyOfValue,
1032           typename _Compare, typename _Alloc>
1033#if __cplusplus >= 201103L
1034    template<typename _Arg>
1035#endif
1036    typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
1037    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1038#if __cplusplus >= 201103L
1039    _M_insert_lower(_Base_ptr __p, _Arg&& __v)
1040#else
1041    _M_insert_lower(_Base_ptr __p, const _Val& __v)
1042#endif
1043    {
1044      bool __insert_left = (__p == _M_end()
1045			    || !_M_impl._M_key_compare(_S_key(__p),
1046						       _KeyOfValue()(__v)));
1047
1048      _Link_type __z = _M_create_node(_GLIBCXX_FORWARD(_Arg, __v));
1049
1050      _Rb_tree_insert_and_rebalance(__insert_left, __z, __p,
1051				    this->_M_impl._M_header);
1052      ++_M_impl._M_node_count;
1053      return iterator(__z);
1054    }
1055
1056  template<typename _Key, typename _Val, typename _KeyOfValue,
1057           typename _Compare, typename _Alloc>
1058#if __cplusplus >= 201103L
1059    template<typename _Arg>
1060#endif
1061    typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
1062    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1063#if __cplusplus >= 201103L
1064    _M_insert_equal_lower(_Arg&& __v)
1065#else
1066    _M_insert_equal_lower(const _Val& __v)
1067#endif
1068    {
1069      _Link_type __x = _M_begin();
1070      _Link_type __y = _M_end();
1071      while (__x != 0)
1072	{
1073	  __y = __x;
1074	  __x = !_M_impl._M_key_compare(_S_key(__x), _KeyOfValue()(__v)) ?
1075	        _S_left(__x) : _S_right(__x);
1076	}
1077      return _M_insert_lower(__y, _GLIBCXX_FORWARD(_Arg, __v));
1078    }
1079
1080  template<typename _Key, typename _Val, typename _KoV,
1081           typename _Compare, typename _Alloc>
1082    typename _Rb_tree<_Key, _Val, _KoV, _Compare, _Alloc>::_Link_type
1083    _Rb_tree<_Key, _Val, _KoV, _Compare, _Alloc>::
1084    _M_copy(_Const_Link_type __x, _Link_type __p)
1085    {
1086      // Structural copy.  __x and __p must be non-null.
1087      _Link_type __top = _M_clone_node(__x);
1088      __top->_M_parent = __p;
1089
1090      __try
1091	{
1092	  if (__x->_M_right)
1093	    __top->_M_right = _M_copy(_S_right(__x), __top);
1094	  __p = __top;
1095	  __x = _S_left(__x);
1096
1097	  while (__x != 0)
1098	    {
1099	      _Link_type __y = _M_clone_node(__x);
1100	      __p->_M_left = __y;
1101	      __y->_M_parent = __p;
1102	      if (__x->_M_right)
1103		__y->_M_right = _M_copy(_S_right(__x), __y);
1104	      __p = __y;
1105	      __x = _S_left(__x);
1106	    }
1107	}
1108      __catch(...)
1109	{
1110	  _M_erase(__top);
1111	  __throw_exception_again;
1112	}
1113      return __top;
1114    }
1115
1116  template<typename _Key, typename _Val, typename _KeyOfValue,
1117           typename _Compare, typename _Alloc>
1118    void
1119    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1120    _M_erase(_Link_type __x)
1121    {
1122      // Erase without rebalancing.
1123      while (__x != 0)
1124	{
1125	  _M_erase(_S_right(__x));
1126	  _Link_type __y = _S_left(__x);
1127	  _M_destroy_node(__x);
1128	  __x = __y;
1129	}
1130    }
1131
1132  template<typename _Key, typename _Val, typename _KeyOfValue,
1133           typename _Compare, typename _Alloc>
1134    typename _Rb_tree<_Key, _Val, _KeyOfValue,
1135		      _Compare, _Alloc>::iterator
1136    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1137    _M_lower_bound(_Link_type __x, _Link_type __y,
1138		   const _Key& __k)
1139    {
1140      while (__x != 0)
1141	if (!_M_impl._M_key_compare(_S_key(__x), __k))
1142	  __y = __x, __x = _S_left(__x);
1143	else
1144	  __x = _S_right(__x);
1145      return iterator(__y);
1146    }
1147
1148  template<typename _Key, typename _Val, typename _KeyOfValue,
1149           typename _Compare, typename _Alloc>
1150    typename _Rb_tree<_Key, _Val, _KeyOfValue,
1151		      _Compare, _Alloc>::const_iterator
1152    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1153    _M_lower_bound(_Const_Link_type __x, _Const_Link_type __y,
1154		   const _Key& __k) const
1155    {
1156      while (__x != 0)
1157	if (!_M_impl._M_key_compare(_S_key(__x), __k))
1158	  __y = __x, __x = _S_left(__x);
1159	else
1160	  __x = _S_right(__x);
1161      return const_iterator(__y);
1162    }
1163
1164  template<typename _Key, typename _Val, typename _KeyOfValue,
1165           typename _Compare, typename _Alloc>
1166    typename _Rb_tree<_Key, _Val, _KeyOfValue,
1167		      _Compare, _Alloc>::iterator
1168    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1169    _M_upper_bound(_Link_type __x, _Link_type __y,
1170		   const _Key& __k)
1171    {
1172      while (__x != 0)
1173	if (_M_impl._M_key_compare(__k, _S_key(__x)))
1174	  __y = __x, __x = _S_left(__x);
1175	else
1176	  __x = _S_right(__x);
1177      return iterator(__y);
1178    }
1179
1180  template<typename _Key, typename _Val, typename _KeyOfValue,
1181           typename _Compare, typename _Alloc>
1182    typename _Rb_tree<_Key, _Val, _KeyOfValue,
1183		      _Compare, _Alloc>::const_iterator
1184    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1185    _M_upper_bound(_Const_Link_type __x, _Const_Link_type __y,
1186		   const _Key& __k) const
1187    {
1188      while (__x != 0)
1189	if (_M_impl._M_key_compare(__k, _S_key(__x)))
1190	  __y = __x, __x = _S_left(__x);
1191	else
1192	  __x = _S_right(__x);
1193      return const_iterator(__y);
1194    }
1195
1196  template<typename _Key, typename _Val, typename _KeyOfValue,
1197           typename _Compare, typename _Alloc>
1198    pair<typename _Rb_tree<_Key, _Val, _KeyOfValue,
1199			   _Compare, _Alloc>::iterator,
1200	 typename _Rb_tree<_Key, _Val, _KeyOfValue,
1201			   _Compare, _Alloc>::iterator>
1202    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1203    equal_range(const _Key& __k)
1204    {
1205      _Link_type __x = _M_begin();
1206      _Link_type __y = _M_end();
1207      while (__x != 0)
1208	{
1209	  if (_M_impl._M_key_compare(_S_key(__x), __k))
1210	    __x = _S_right(__x);
1211	  else if (_M_impl._M_key_compare(__k, _S_key(__x)))
1212	    __y = __x, __x = _S_left(__x);
1213	  else
1214	    {
1215	      _Link_type __xu(__x), __yu(__y);
1216	      __y = __x, __x = _S_left(__x);
1217	      __xu = _S_right(__xu);
1218	      return pair<iterator,
1219		          iterator>(_M_lower_bound(__x, __y, __k),
1220				    _M_upper_bound(__xu, __yu, __k));
1221	    }
1222	}
1223      return pair<iterator, iterator>(iterator(__y),
1224				      iterator(__y));
1225    }
1226
1227  template<typename _Key, typename _Val, typename _KeyOfValue,
1228           typename _Compare, typename _Alloc>
1229    pair<typename _Rb_tree<_Key, _Val, _KeyOfValue,
1230			   _Compare, _Alloc>::const_iterator,
1231	 typename _Rb_tree<_Key, _Val, _KeyOfValue,
1232			   _Compare, _Alloc>::const_iterator>
1233    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1234    equal_range(const _Key& __k) const
1235    {
1236      _Const_Link_type __x = _M_begin();
1237      _Const_Link_type __y = _M_end();
1238      while (__x != 0)
1239	{
1240	  if (_M_impl._M_key_compare(_S_key(__x), __k))
1241	    __x = _S_right(__x);
1242	  else if (_M_impl._M_key_compare(__k, _S_key(__x)))
1243	    __y = __x, __x = _S_left(__x);
1244	  else
1245	    {
1246	      _Const_Link_type __xu(__x), __yu(__y);
1247	      __y = __x, __x = _S_left(__x);
1248	      __xu = _S_right(__xu);
1249	      return pair<const_iterator,
1250		          const_iterator>(_M_lower_bound(__x, __y, __k),
1251					  _M_upper_bound(__xu, __yu, __k));
1252	    }
1253	}
1254      return pair<const_iterator, const_iterator>(const_iterator(__y),
1255						  const_iterator(__y));
1256    }
1257
1258  template<typename _Key, typename _Val, typename _KeyOfValue,
1259           typename _Compare, typename _Alloc>
1260    void
1261    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1262    swap(_Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __t)
1263    {
1264      if (_M_root() == 0)
1265	{
1266	  if (__t._M_root() != 0)
1267	    {
1268	      _M_root() = __t._M_root();
1269	      _M_leftmost() = __t._M_leftmost();
1270	      _M_rightmost() = __t._M_rightmost();
1271	      _M_root()->_M_parent = _M_end();
1272
1273	      __t._M_root() = 0;
1274	      __t._M_leftmost() = __t._M_end();
1275	      __t._M_rightmost() = __t._M_end();
1276	    }
1277	}
1278      else if (__t._M_root() == 0)
1279	{
1280	  __t._M_root() = _M_root();
1281	  __t._M_leftmost() = _M_leftmost();
1282	  __t._M_rightmost() = _M_rightmost();
1283	  __t._M_root()->_M_parent = __t._M_end();
1284
1285	  _M_root() = 0;
1286	  _M_leftmost() = _M_end();
1287	  _M_rightmost() = _M_end();
1288	}
1289      else
1290	{
1291	  std::swap(_M_root(),__t._M_root());
1292	  std::swap(_M_leftmost(),__t._M_leftmost());
1293	  std::swap(_M_rightmost(),__t._M_rightmost());
1294
1295	  _M_root()->_M_parent = _M_end();
1296	  __t._M_root()->_M_parent = __t._M_end();
1297	}
1298      // No need to swap header's color as it does not change.
1299      std::swap(this->_M_impl._M_node_count, __t._M_impl._M_node_count);
1300      std::swap(this->_M_impl._M_key_compare, __t._M_impl._M_key_compare);
1301
1302      // _GLIBCXX_RESOLVE_LIB_DEFECTS
1303      // 431. Swapping containers with unequal allocators.
1304      std::__alloc_swap<_Node_allocator>::
1305	_S_do_it(_M_get_Node_allocator(), __t._M_get_Node_allocator());
1306    }
1307
1308  template<typename _Key, typename _Val, typename _KeyOfValue,
1309           typename _Compare, typename _Alloc>
1310    pair<typename _Rb_tree<_Key, _Val, _KeyOfValue,
1311			   _Compare, _Alloc>::_Base_ptr,
1312	 typename _Rb_tree<_Key, _Val, _KeyOfValue,
1313			   _Compare, _Alloc>::_Base_ptr>
1314    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1315    _M_get_insert_unique_pos(const key_type& __k)
1316    {
1317      typedef pair<_Base_ptr, _Base_ptr> _Res;
1318      _Link_type __x = _M_begin();
1319      _Link_type __y = _M_end();
1320      bool __comp = true;
1321      while (__x != 0)
1322	{
1323	  __y = __x;
1324	  __comp = _M_impl._M_key_compare(__k, _S_key(__x));
1325	  __x = __comp ? _S_left(__x) : _S_right(__x);
1326	}
1327      iterator __j = iterator(__y);
1328      if (__comp)
1329	{
1330	  if (__j == begin())
1331	    return _Res(__x, __y);
1332	  else
1333	    --__j;
1334	}
1335      if (_M_impl._M_key_compare(_S_key(__j._M_node), __k))
1336	return _Res(__x, __y);
1337      return _Res(__j._M_node, 0);
1338    }
1339
1340  template<typename _Key, typename _Val, typename _KeyOfValue,
1341           typename _Compare, typename _Alloc>
1342    pair<typename _Rb_tree<_Key, _Val, _KeyOfValue,
1343			   _Compare, _Alloc>::_Base_ptr,
1344	 typename _Rb_tree<_Key, _Val, _KeyOfValue,
1345			   _Compare, _Alloc>::_Base_ptr>
1346    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1347    _M_get_insert_equal_pos(const key_type& __k)
1348    {
1349      typedef pair<_Base_ptr, _Base_ptr> _Res;
1350      _Link_type __x = _M_begin();
1351      _Link_type __y = _M_end();
1352      while (__x != 0)
1353	{
1354	  __y = __x;
1355	  __x = _M_impl._M_key_compare(__k, _S_key(__x)) ?
1356	        _S_left(__x) : _S_right(__x);
1357	}
1358      return _Res(__x, __y);
1359    }
1360
1361  template<typename _Key, typename _Val, typename _KeyOfValue,
1362           typename _Compare, typename _Alloc>
1363#if __cplusplus >= 201103L
1364    template<typename _Arg>
1365#endif
1366    pair<typename _Rb_tree<_Key, _Val, _KeyOfValue,
1367			   _Compare, _Alloc>::iterator, bool>
1368    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1369#if __cplusplus >= 201103L
1370    _M_insert_unique(_Arg&& __v)
1371#else
1372    _M_insert_unique(const _Val& __v)
1373#endif
1374    {
1375      typedef pair<iterator, bool> _Res;
1376      pair<_Base_ptr, _Base_ptr> __res
1377	= _M_get_insert_unique_pos(_KeyOfValue()(__v));
1378
1379      if (__res.second)
1380	return _Res(_M_insert_(__res.first, __res.second,
1381			       _GLIBCXX_FORWARD(_Arg, __v)),
1382		    true);
1383
1384      return _Res(iterator(static_cast<_Link_type>(__res.first)), false);
1385    }
1386
1387  template<typename _Key, typename _Val, typename _KeyOfValue,
1388           typename _Compare, typename _Alloc>
1389#if __cplusplus >= 201103L
1390    template<typename _Arg>
1391#endif
1392    typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
1393    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1394#if __cplusplus >= 201103L
1395    _M_insert_equal(_Arg&& __v)
1396#else
1397    _M_insert_equal(const _Val& __v)
1398#endif
1399    {
1400      pair<_Base_ptr, _Base_ptr> __res
1401	= _M_get_insert_equal_pos(_KeyOfValue()(__v));
1402      return _M_insert_(__res.first, __res.second, _GLIBCXX_FORWARD(_Arg, __v));
1403    }
1404
1405  template<typename _Key, typename _Val, typename _KeyOfValue,
1406           typename _Compare, typename _Alloc>
1407    pair<typename _Rb_tree<_Key, _Val, _KeyOfValue,
1408			   _Compare, _Alloc>::_Base_ptr,
1409         typename _Rb_tree<_Key, _Val, _KeyOfValue,
1410			   _Compare, _Alloc>::_Base_ptr>
1411    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1412    _M_get_insert_hint_unique_pos(const_iterator __position,
1413				  const key_type& __k)
1414    {
1415      iterator __pos = __position._M_const_cast();
1416      typedef pair<_Base_ptr, _Base_ptr> _Res;
1417
1418      // end()
1419      if (__pos._M_node == _M_end())
1420	{
1421	  if (size() > 0
1422	      && _M_impl._M_key_compare(_S_key(_M_rightmost()), __k))
1423	    return _Res(0, _M_rightmost());
1424	  else
1425	    return _M_get_insert_unique_pos(__k);
1426	}
1427      else if (_M_impl._M_key_compare(__k, _S_key(__pos._M_node)))
1428	{
1429	  // First, try before...
1430	  iterator __before = __pos;
1431	  if (__pos._M_node == _M_leftmost()) // begin()
1432	    return _Res(_M_leftmost(), _M_leftmost());
1433	  else if (_M_impl._M_key_compare(_S_key((--__before)._M_node), __k))
1434	    {
1435	      if (_S_right(__before._M_node) == 0)
1436		return _Res(0, __before._M_node);
1437	      else
1438		return _Res(__pos._M_node, __pos._M_node);
1439	    }
1440	  else
1441	    return _M_get_insert_unique_pos(__k);
1442	}
1443      else if (_M_impl._M_key_compare(_S_key(__pos._M_node), __k))
1444	{
1445	  // ... then try after.
1446	  iterator __after = __pos;
1447	  if (__pos._M_node == _M_rightmost())
1448	    return _Res(0, _M_rightmost());
1449	  else if (_M_impl._M_key_compare(__k, _S_key((++__after)._M_node)))
1450	    {
1451	      if (_S_right(__pos._M_node) == 0)
1452		return _Res(0, __pos._M_node);
1453	      else
1454		return _Res(__after._M_node, __after._M_node);
1455	    }
1456	  else
1457	    return _M_get_insert_unique_pos(__k);
1458	}
1459      else
1460	// Equivalent keys.
1461	return _Res(__pos._M_node, 0);
1462    }
1463
1464  template<typename _Key, typename _Val, typename _KeyOfValue,
1465           typename _Compare, typename _Alloc>
1466#if __cplusplus >= 201103L
1467    template<typename _Arg>
1468#endif
1469    typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
1470    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1471#if __cplusplus >= 201103L
1472    _M_insert_unique_(const_iterator __position, _Arg&& __v)
1473#else
1474    _M_insert_unique_(const_iterator __position, const _Val& __v)
1475#endif
1476    {
1477      pair<_Base_ptr, _Base_ptr> __res
1478	= _M_get_insert_hint_unique_pos(__position, _KeyOfValue()(__v));
1479
1480      if (__res.second)
1481	return _M_insert_(__res.first, __res.second,
1482			  _GLIBCXX_FORWARD(_Arg, __v));
1483      return iterator(static_cast<_Link_type>(__res.first));
1484    }
1485
1486  template<typename _Key, typename _Val, typename _KeyOfValue,
1487           typename _Compare, typename _Alloc>
1488    pair<typename _Rb_tree<_Key, _Val, _KeyOfValue,
1489			   _Compare, _Alloc>::_Base_ptr,
1490         typename _Rb_tree<_Key, _Val, _KeyOfValue,
1491			   _Compare, _Alloc>::_Base_ptr>
1492    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1493    _M_get_insert_hint_equal_pos(const_iterator __position, const key_type& __k)
1494    {
1495      iterator __pos = __position._M_const_cast();
1496      typedef pair<_Base_ptr, _Base_ptr> _Res;
1497
1498      // end()
1499      if (__pos._M_node == _M_end())
1500	{
1501	  if (size() > 0
1502	      && !_M_impl._M_key_compare(__k, _S_key(_M_rightmost())))
1503	    return _Res(0, _M_rightmost());
1504	  else
1505	    return _M_get_insert_equal_pos(__k);
1506	}
1507      else if (!_M_impl._M_key_compare(_S_key(__pos._M_node), __k))
1508	{
1509	  // First, try before...
1510	  iterator __before = __pos;
1511	  if (__pos._M_node == _M_leftmost()) // begin()
1512	    return _Res(_M_leftmost(), _M_leftmost());
1513	  else if (!_M_impl._M_key_compare(__k, _S_key((--__before)._M_node)))
1514	    {
1515	      if (_S_right(__before._M_node) == 0)
1516		return _Res(0, __before._M_node);
1517	      else
1518		return _Res(__pos._M_node, __pos._M_node);
1519	    }
1520	  else
1521	    return _M_get_insert_equal_pos(__k);
1522	}
1523      else
1524	{
1525	  // ... then try after.
1526	  iterator __after = __pos;
1527	  if (__pos._M_node == _M_rightmost())
1528	    return _Res(0, _M_rightmost());
1529	  else if (!_M_impl._M_key_compare(_S_key((++__after)._M_node), __k))
1530	    {
1531	      if (_S_right(__pos._M_node) == 0)
1532		return _Res(0, __pos._M_node);
1533	      else
1534		return _Res(__after._M_node, __after._M_node);
1535	    }
1536	  else
1537	    return _Res(0, 0);
1538	}
1539    }
1540
1541  template<typename _Key, typename _Val, typename _KeyOfValue,
1542           typename _Compare, typename _Alloc>
1543#if __cplusplus >= 201103L
1544    template<typename _Arg>
1545#endif
1546    typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
1547    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1548#if __cplusplus >= 201103L
1549    _M_insert_equal_(const_iterator __position, _Arg&& __v)
1550#else
1551    _M_insert_equal_(const_iterator __position, const _Val& __v)
1552#endif
1553    {
1554      pair<_Base_ptr, _Base_ptr> __res
1555	= _M_get_insert_hint_equal_pos(__position, _KeyOfValue()(__v));
1556
1557      if (__res.second)
1558	return _M_insert_(__res.first, __res.second,
1559			  _GLIBCXX_FORWARD(_Arg, __v));
1560
1561      return _M_insert_equal_lower(_GLIBCXX_FORWARD(_Arg, __v));
1562    }
1563
1564#if __cplusplus >= 201103L
1565  template<typename _Key, typename _Val, typename _KeyOfValue,
1566           typename _Compare, typename _Alloc>
1567    typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
1568    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1569    _M_insert_node(_Base_ptr __x, _Base_ptr __p, _Link_type __z)
1570    {
1571      bool __insert_left = (__x != 0 || __p == _M_end()
1572			    || _M_impl._M_key_compare(_S_key(__z),
1573						      _S_key(__p)));
1574
1575      _Rb_tree_insert_and_rebalance(__insert_left, __z, __p,
1576				    this->_M_impl._M_header);
1577      ++_M_impl._M_node_count;
1578      return iterator(__z);
1579    }
1580
1581  template<typename _Key, typename _Val, typename _KeyOfValue,
1582           typename _Compare, typename _Alloc>
1583    typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
1584    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1585    _M_insert_lower_node(_Base_ptr __p, _Link_type __z)
1586    {
1587      bool __insert_left = (__p == _M_end()
1588			    || !_M_impl._M_key_compare(_S_key(__p),
1589						       _S_key(__z)));
1590
1591      _Rb_tree_insert_and_rebalance(__insert_left, __z, __p,
1592				    this->_M_impl._M_header);
1593      ++_M_impl._M_node_count;
1594      return iterator(__z);
1595    }
1596
1597  template<typename _Key, typename _Val, typename _KeyOfValue,
1598           typename _Compare, typename _Alloc>
1599    typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
1600    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1601    _M_insert_equal_lower_node(_Link_type __z)
1602    {
1603      _Link_type __x = _M_begin();
1604      _Link_type __y = _M_end();
1605      while (__x != 0)
1606	{
1607	  __y = __x;
1608	  __x = !_M_impl._M_key_compare(_S_key(__x), _S_key(__z)) ?
1609	        _S_left(__x) : _S_right(__x);
1610	}
1611      return _M_insert_lower_node(__y, __z);
1612    }
1613
1614  template<typename _Key, typename _Val, typename _KeyOfValue,
1615           typename _Compare, typename _Alloc>
1616    template<typename... _Args>
1617      pair<typename _Rb_tree<_Key, _Val, _KeyOfValue,
1618			     _Compare, _Alloc>::iterator, bool>
1619      _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1620      _M_emplace_unique(_Args&&... __args)
1621      {
1622	_Link_type __z = _M_create_node(std::forward<_Args>(__args)...);
1623
1624	__try
1625	  {
1626	    typedef pair<iterator, bool> _Res;
1627	    auto __res = _M_get_insert_unique_pos(_S_key(__z));
1628	    if (__res.second)
1629	      return _Res(_M_insert_node(__res.first, __res.second, __z), true);
1630
1631	    _M_destroy_node(__z);
1632	    return _Res(iterator(static_cast<_Link_type>(__res.first)), false);
1633	  }
1634	__catch(...)
1635	  {
1636	    _M_destroy_node(__z);
1637	    __throw_exception_again;
1638	  }
1639      }
1640
1641  template<typename _Key, typename _Val, typename _KeyOfValue,
1642           typename _Compare, typename _Alloc>
1643    template<typename... _Args>
1644      typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
1645      _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1646      _M_emplace_equal(_Args&&... __args)
1647      {
1648	_Link_type __z = _M_create_node(std::forward<_Args>(__args)...);
1649
1650	__try
1651	  {
1652	    auto __res = _M_get_insert_equal_pos(_S_key(__z));
1653	    return _M_insert_node(__res.first, __res.second, __z);
1654	  }
1655	__catch(...)
1656	  {
1657	    _M_destroy_node(__z);
1658	    __throw_exception_again;
1659	  }
1660      }
1661
1662  template<typename _Key, typename _Val, typename _KeyOfValue,
1663           typename _Compare, typename _Alloc>
1664    template<typename... _Args>
1665      typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
1666      _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1667      _M_emplace_hint_unique(const_iterator __pos, _Args&&... __args)
1668      {
1669	_Link_type __z = _M_create_node(std::forward<_Args>(__args)...);
1670
1671	__try
1672	  {
1673	    auto __res = _M_get_insert_hint_unique_pos(__pos, _S_key(__z));
1674
1675	    if (__res.second)
1676	      return _M_insert_node(__res.first, __res.second, __z);
1677
1678	    _M_destroy_node(__z);
1679	    return iterator(static_cast<_Link_type>(__res.first));
1680	  }
1681	__catch(...)
1682	  {
1683	    _M_destroy_node(__z);
1684	    __throw_exception_again;
1685	  }
1686      }
1687
1688  template<typename _Key, typename _Val, typename _KeyOfValue,
1689           typename _Compare, typename _Alloc>
1690    template<typename... _Args>
1691      typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
1692      _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1693      _M_emplace_hint_equal(const_iterator __pos, _Args&&... __args)
1694      {
1695	_Link_type __z = _M_create_node(std::forward<_Args>(__args)...);
1696
1697	__try
1698	  {
1699	    auto __res = _M_get_insert_hint_equal_pos(__pos, _S_key(__z));
1700
1701	    if (__res.second)
1702	      return _M_insert_node(__res.first, __res.second, __z);
1703
1704	    return _M_insert_equal_lower_node(__z);
1705	  }
1706	__catch(...)
1707	  {
1708	    _M_destroy_node(__z);
1709	    __throw_exception_again;
1710	  }
1711      }
1712#endif
1713
1714  template<typename _Key, typename _Val, typename _KoV,
1715           typename _Cmp, typename _Alloc>
1716    template<class _II>
1717      void
1718      _Rb_tree<_Key, _Val, _KoV, _Cmp, _Alloc>::
1719      _M_insert_unique(_II __first, _II __last)
1720      {
1721	for (; __first != __last; ++__first)
1722	  _M_insert_unique_(end(), *__first);
1723      }
1724
1725  template<typename _Key, typename _Val, typename _KoV,
1726           typename _Cmp, typename _Alloc>
1727    template<class _II>
1728      void
1729      _Rb_tree<_Key, _Val, _KoV, _Cmp, _Alloc>::
1730      _M_insert_equal(_II __first, _II __last)
1731      {
1732	for (; __first != __last; ++__first)
1733	  _M_insert_equal_(end(), *__first);
1734      }
1735
1736  template<typename _Key, typename _Val, typename _KeyOfValue,
1737           typename _Compare, typename _Alloc>
1738    void
1739    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1740    _M_erase_aux(const_iterator __position)
1741    {
1742      _Link_type __y =
1743	static_cast<_Link_type>(_Rb_tree_rebalance_for_erase
1744				(const_cast<_Base_ptr>(__position._M_node),
1745				 this->_M_impl._M_header));
1746      _M_destroy_node(__y);
1747      --_M_impl._M_node_count;
1748    }
1749
1750  template<typename _Key, typename _Val, typename _KeyOfValue,
1751           typename _Compare, typename _Alloc>
1752    void
1753    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1754    _M_erase_aux(const_iterator __first, const_iterator __last)
1755    {
1756      if (__first == begin() && __last == end())
1757	clear();
1758      else
1759	while (__first != __last)
1760	  erase(__first++);
1761    }
1762
1763  template<typename _Key, typename _Val, typename _KeyOfValue,
1764           typename _Compare, typename _Alloc>
1765    typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::size_type
1766    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1767    erase(const _Key& __x)
1768    {
1769      pair<iterator, iterator> __p = equal_range(__x);
1770      const size_type __old_size = size();
1771      erase(__p.first, __p.second);
1772      return __old_size - size();
1773    }
1774
1775  template<typename _Key, typename _Val, typename _KeyOfValue,
1776           typename _Compare, typename _Alloc>
1777    void
1778    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1779    erase(const _Key* __first, const _Key* __last)
1780    {
1781      while (__first != __last)
1782	erase(*__first++);
1783    }
1784
1785  template<typename _Key, typename _Val, typename _KeyOfValue,
1786           typename _Compare, typename _Alloc>
1787    typename _Rb_tree<_Key, _Val, _KeyOfValue,
1788		      _Compare, _Alloc>::iterator
1789    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1790    find(const _Key& __k)
1791    {
1792      iterator __j = _M_lower_bound(_M_begin(), _M_end(), __k);
1793      return (__j == end()
1794	      || _M_impl._M_key_compare(__k,
1795					_S_key(__j._M_node))) ? end() : __j;
1796    }
1797
1798  template<typename _Key, typename _Val, typename _KeyOfValue,
1799           typename _Compare, typename _Alloc>
1800    typename _Rb_tree<_Key, _Val, _KeyOfValue,
1801		      _Compare, _Alloc>::const_iterator
1802    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1803    find(const _Key& __k) const
1804    {
1805      const_iterator __j = _M_lower_bound(_M_begin(), _M_end(), __k);
1806      return (__j == end()
1807	      || _M_impl._M_key_compare(__k,
1808					_S_key(__j._M_node))) ? end() : __j;
1809    }
1810
1811  template<typename _Key, typename _Val, typename _KeyOfValue,
1812           typename _Compare, typename _Alloc>
1813    typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::size_type
1814    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1815    count(const _Key& __k) const
1816    {
1817      pair<const_iterator, const_iterator> __p = equal_range(__k);
1818      const size_type __n = std::distance(__p.first, __p.second);
1819      return __n;
1820    }
1821
1822  _GLIBCXX_PURE unsigned int
1823  _Rb_tree_black_count(const _Rb_tree_node_base* __node,
1824                       const _Rb_tree_node_base* __root) throw ();
1825
1826  template<typename _Key, typename _Val, typename _KeyOfValue,
1827           typename _Compare, typename _Alloc>
1828    bool
1829    _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::__rb_verify() const
1830    {
1831      if (_M_impl._M_node_count == 0 || begin() == end())
1832	return _M_impl._M_node_count == 0 && begin() == end()
1833	       && this->_M_impl._M_header._M_left == _M_end()
1834	       && this->_M_impl._M_header._M_right == _M_end();
1835
1836      unsigned int __len = _Rb_tree_black_count(_M_leftmost(), _M_root());
1837      for (const_iterator __it = begin(); __it != end(); ++__it)
1838	{
1839	  _Const_Link_type __x = static_cast<_Const_Link_type>(__it._M_node);
1840	  _Const_Link_type __L = _S_left(__x);
1841	  _Const_Link_type __R = _S_right(__x);
1842
1843	  if (__x->_M_color == _S_red)
1844	    if ((__L && __L->_M_color == _S_red)
1845		|| (__R && __R->_M_color == _S_red))
1846	      return false;
1847
1848	  if (__L && _M_impl._M_key_compare(_S_key(__x), _S_key(__L)))
1849	    return false;
1850	  if (__R && _M_impl._M_key_compare(_S_key(__R), _S_key(__x)))
1851	    return false;
1852
1853	  if (!__L && !__R && _Rb_tree_black_count(__x, _M_root()) != __len)
1854	    return false;
1855	}
1856
1857      if (_M_leftmost() != _Rb_tree_node_base::_S_minimum(_M_root()))
1858	return false;
1859      if (_M_rightmost() != _Rb_tree_node_base::_S_maximum(_M_root()))
1860	return false;
1861      return true;
1862    }
1863
1864_GLIBCXX_END_NAMESPACE_VERSION
1865} // namespace
1866
1867#endif
1868