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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      iterator
804      erase(const_iterator __position)
805      {
806	const_iterator __result = __position;
807	++__result;
808	_M_erase_aux(__position);
809	return __result._M_const_cast();
810      }
811
812      // LWG 2059.
813      iterator
814      erase(iterator __position)
815      {
816	iterator __result = __position;
817	++__result;
818	_M_erase_aux(__position);
819	return __result;
820      }
821#else
822      void
823      erase(iterator __position)
824      { _M_erase_aux(__position); }
825
826      void
827      erase(const_iterator __position)
828      { _M_erase_aux(__position); }
829#endif
830      size_type
831      erase(const key_type& __x);
832
833#if __cplusplus >= 201103L
834      // _GLIBCXX_RESOLVE_LIB_DEFECTS
835      // DR 130. Associative erase should return an iterator.
836      iterator
837      erase(const_iterator __first, const_iterator __last)
838      {
839	_M_erase_aux(__first, __last);
840	return __last._M_const_cast();
841      }
842#else
843      void
844      erase(iterator __first, iterator __last)
845      { _M_erase_aux(__first, __last); }
846
847      void
848      erase(const_iterator __first, const_iterator __last)
849      { _M_erase_aux(__first, __last); }
850#endif
851      void
852      erase(const key_type* __first, const key_type* __last);
853
854      void
855      clear() _GLIBCXX_NOEXCEPT
856      {
857        _M_erase(_M_begin());
858        _M_leftmost() = _M_end();
859        _M_root() = 0;
860        _M_rightmost() = _M_end();
861        _M_impl._M_node_count = 0;
862      }
863
864      // Set operations.
865      iterator
866      find(const key_type& __k);
867
868      const_iterator
869      find(const key_type& __k) const;
870
871      size_type
872      count(const key_type& __k) const;
873
874      iterator
875      lower_bound(const key_type& __k)
876      { return _M_lower_bound(_M_begin(), _M_end(), __k); }
877
878      const_iterator
879      lower_bound(const key_type& __k) const
880      { return _M_lower_bound(_M_begin(), _M_end(), __k); }
881
882      iterator
883      upper_bound(const key_type& __k)
884      { return _M_upper_bound(_M_begin(), _M_end(), __k); }
885
886      const_iterator
887      upper_bound(const key_type& __k) const
888      { return _M_upper_bound(_M_begin(), _M_end(), __k); }
889
890      pair<iterator, iterator>
891      equal_range(const key_type& __k);
892
893      pair<const_iterator, const_iterator>
894      equal_range(const key_type& __k) const;
895
896      // Debugging.
897      bool
898      __rb_verify() const;
899    };
900
901  template<typename _Key, typename _Val, typename _KeyOfValue,
902           typename _Compare, typename _Alloc>
903    inline bool
904    operator==(const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __x,
905	       const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __y)
906    {
907      return __x.size() == __y.size()
908	     && std::equal(__x.begin(), __x.end(), __y.begin());
909    }
910
911  template<typename _Key, typename _Val, typename _KeyOfValue,
912           typename _Compare, typename _Alloc>
913    inline bool
914    operator<(const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __x,
915	      const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __y)
916    {
917      return std::lexicographical_compare(__x.begin(), __x.end(),
918					  __y.begin(), __y.end());
919    }
920
921  template<typename _Key, typename _Val, typename _KeyOfValue,
922           typename _Compare, typename _Alloc>
923    inline bool
924    operator!=(const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __x,
925	       const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __y)
926    { return !(__x == __y); }
927
928  template<typename _Key, typename _Val, typename _KeyOfValue,
929           typename _Compare, typename _Alloc>
930    inline bool
931    operator>(const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __x,
932	      const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __y)
933    { return __y < __x; }
934
935  template<typename _Key, typename _Val, typename _KeyOfValue,
936           typename _Compare, typename _Alloc>
937    inline bool
938    operator<=(const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __x,
939	       const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __y)
940    { return !(__y < __x); }
941
942  template<typename _Key, typename _Val, typename _KeyOfValue,
943           typename _Compare, typename _Alloc>
944    inline bool
945    operator>=(const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __x,
946	       const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __y)
947    { return !(__x < __y); }
948
949  template<typename _Key, typename _Val, typename _KeyOfValue,
950           typename _Compare, typename _Alloc>
951    inline void
952    swap(_Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __x,
953	 _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __y)
954    { __x.swap(__y); }
955
956#if __cplusplus >= 201103L
957  template<typename _Key, typename _Val, typename _KeyOfValue,
958           typename _Compare, typename _Alloc>
959    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
960    _Rb_tree(_Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>&& __x)
961    : _M_impl(__x._M_impl._M_key_compare,
962	      std::move(__x._M_get_Node_allocator()))
963    {
964      if (__x._M_root() != 0)
965	{
966	  _M_root() = __x._M_root();
967	  _M_leftmost() = __x._M_leftmost();
968	  _M_rightmost() = __x._M_rightmost();
969	  _M_root()->_M_parent = _M_end();
970
971	  __x._M_root() = 0;
972	  __x._M_leftmost() = __x._M_end();
973	  __x._M_rightmost() = __x._M_end();
974
975	  this->_M_impl._M_node_count = __x._M_impl._M_node_count;
976	  __x._M_impl._M_node_count = 0;
977	}
978    }
979#endif
980
981  template<typename _Key, typename _Val, typename _KeyOfValue,
982           typename _Compare, typename _Alloc>
983    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>&
984    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
985    operator=(const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __x)
986    {
987      if (this != &__x)
988	{
989	  // Note that _Key may be a constant type.
990	  clear();
991	  _M_impl._M_key_compare = __x._M_impl._M_key_compare;
992	  if (__x._M_root() != 0)
993	    {
994	      _M_root() = _M_copy(__x._M_begin(), _M_end());
995	      _M_leftmost() = _S_minimum(_M_root());
996	      _M_rightmost() = _S_maximum(_M_root());
997	      _M_impl._M_node_count = __x._M_impl._M_node_count;
998	    }
999	}
1000      return *this;
1001    }
1002
1003  template<typename _Key, typename _Val, typename _KeyOfValue,
1004           typename _Compare, typename _Alloc>
1005#if __cplusplus >= 201103L
1006    template<typename _Arg>
1007#endif
1008    typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
1009    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1010#if __cplusplus >= 201103L
1011    _M_insert_(_Base_ptr __x, _Base_ptr __p, _Arg&& __v)
1012#else
1013    _M_insert_(_Base_ptr __x, _Base_ptr __p, const _Val& __v)
1014#endif
1015    {
1016      bool __insert_left = (__x != 0 || __p == _M_end()
1017			    || _M_impl._M_key_compare(_KeyOfValue()(__v),
1018						      _S_key(__p)));
1019
1020      _Link_type __z = _M_create_node(_GLIBCXX_FORWARD(_Arg, __v));
1021
1022      _Rb_tree_insert_and_rebalance(__insert_left, __z, __p,
1023				    this->_M_impl._M_header);
1024      ++_M_impl._M_node_count;
1025      return iterator(__z);
1026    }
1027
1028  template<typename _Key, typename _Val, typename _KeyOfValue,
1029           typename _Compare, typename _Alloc>
1030#if __cplusplus >= 201103L
1031    template<typename _Arg>
1032#endif
1033    typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
1034    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1035#if __cplusplus >= 201103L
1036    _M_insert_lower(_Base_ptr __p, _Arg&& __v)
1037#else
1038    _M_insert_lower(_Base_ptr __p, const _Val& __v)
1039#endif
1040    {
1041      bool __insert_left = (__p == _M_end()
1042			    || !_M_impl._M_key_compare(_S_key(__p),
1043						       _KeyOfValue()(__v)));
1044
1045      _Link_type __z = _M_create_node(_GLIBCXX_FORWARD(_Arg, __v));
1046
1047      _Rb_tree_insert_and_rebalance(__insert_left, __z, __p,
1048				    this->_M_impl._M_header);
1049      ++_M_impl._M_node_count;
1050      return iterator(__z);
1051    }
1052
1053  template<typename _Key, typename _Val, typename _KeyOfValue,
1054           typename _Compare, typename _Alloc>
1055#if __cplusplus >= 201103L
1056    template<typename _Arg>
1057#endif
1058    typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
1059    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1060#if __cplusplus >= 201103L
1061    _M_insert_equal_lower(_Arg&& __v)
1062#else
1063    _M_insert_equal_lower(const _Val& __v)
1064#endif
1065    {
1066      _Link_type __x = _M_begin();
1067      _Link_type __y = _M_end();
1068      while (__x != 0)
1069	{
1070	  __y = __x;
1071	  __x = !_M_impl._M_key_compare(_S_key(__x), _KeyOfValue()(__v)) ?
1072	        _S_left(__x) : _S_right(__x);
1073	}
1074      return _M_insert_lower(__y, _GLIBCXX_FORWARD(_Arg, __v));
1075    }
1076
1077  template<typename _Key, typename _Val, typename _KoV,
1078           typename _Compare, typename _Alloc>
1079    typename _Rb_tree<_Key, _Val, _KoV, _Compare, _Alloc>::_Link_type
1080    _Rb_tree<_Key, _Val, _KoV, _Compare, _Alloc>::
1081    _M_copy(_Const_Link_type __x, _Link_type __p)
1082    {
1083      // Structural copy.  __x and __p must be non-null.
1084      _Link_type __top = _M_clone_node(__x);
1085      __top->_M_parent = __p;
1086
1087      __try
1088	{
1089	  if (__x->_M_right)
1090	    __top->_M_right = _M_copy(_S_right(__x), __top);
1091	  __p = __top;
1092	  __x = _S_left(__x);
1093
1094	  while (__x != 0)
1095	    {
1096	      _Link_type __y = _M_clone_node(__x);
1097	      __p->_M_left = __y;
1098	      __y->_M_parent = __p;
1099	      if (__x->_M_right)
1100		__y->_M_right = _M_copy(_S_right(__x), __y);
1101	      __p = __y;
1102	      __x = _S_left(__x);
1103	    }
1104	}
1105      __catch(...)
1106	{
1107	  _M_erase(__top);
1108	  __throw_exception_again;
1109	}
1110      return __top;
1111    }
1112
1113  template<typename _Key, typename _Val, typename _KeyOfValue,
1114           typename _Compare, typename _Alloc>
1115    void
1116    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1117    _M_erase(_Link_type __x)
1118    {
1119      // Erase without rebalancing.
1120      while (__x != 0)
1121	{
1122	  _M_erase(_S_right(__x));
1123	  _Link_type __y = _S_left(__x);
1124	  _M_destroy_node(__x);
1125	  __x = __y;
1126	}
1127    }
1128
1129  template<typename _Key, typename _Val, typename _KeyOfValue,
1130           typename _Compare, typename _Alloc>
1131    typename _Rb_tree<_Key, _Val, _KeyOfValue,
1132		      _Compare, _Alloc>::iterator
1133    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1134    _M_lower_bound(_Link_type __x, _Link_type __y,
1135		   const _Key& __k)
1136    {
1137      while (__x != 0)
1138	if (!_M_impl._M_key_compare(_S_key(__x), __k))
1139	  __y = __x, __x = _S_left(__x);
1140	else
1141	  __x = _S_right(__x);
1142      return iterator(__y);
1143    }
1144
1145  template<typename _Key, typename _Val, typename _KeyOfValue,
1146           typename _Compare, typename _Alloc>
1147    typename _Rb_tree<_Key, _Val, _KeyOfValue,
1148		      _Compare, _Alloc>::const_iterator
1149    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1150    _M_lower_bound(_Const_Link_type __x, _Const_Link_type __y,
1151		   const _Key& __k) const
1152    {
1153      while (__x != 0)
1154	if (!_M_impl._M_key_compare(_S_key(__x), __k))
1155	  __y = __x, __x = _S_left(__x);
1156	else
1157	  __x = _S_right(__x);
1158      return const_iterator(__y);
1159    }
1160
1161  template<typename _Key, typename _Val, typename _KeyOfValue,
1162           typename _Compare, typename _Alloc>
1163    typename _Rb_tree<_Key, _Val, _KeyOfValue,
1164		      _Compare, _Alloc>::iterator
1165    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1166    _M_upper_bound(_Link_type __x, _Link_type __y,
1167		   const _Key& __k)
1168    {
1169      while (__x != 0)
1170	if (_M_impl._M_key_compare(__k, _S_key(__x)))
1171	  __y = __x, __x = _S_left(__x);
1172	else
1173	  __x = _S_right(__x);
1174      return iterator(__y);
1175    }
1176
1177  template<typename _Key, typename _Val, typename _KeyOfValue,
1178           typename _Compare, typename _Alloc>
1179    typename _Rb_tree<_Key, _Val, _KeyOfValue,
1180		      _Compare, _Alloc>::const_iterator
1181    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1182    _M_upper_bound(_Const_Link_type __x, _Const_Link_type __y,
1183		   const _Key& __k) const
1184    {
1185      while (__x != 0)
1186	if (_M_impl._M_key_compare(__k, _S_key(__x)))
1187	  __y = __x, __x = _S_left(__x);
1188	else
1189	  __x = _S_right(__x);
1190      return const_iterator(__y);
1191    }
1192
1193  template<typename _Key, typename _Val, typename _KeyOfValue,
1194           typename _Compare, typename _Alloc>
1195    pair<typename _Rb_tree<_Key, _Val, _KeyOfValue,
1196			   _Compare, _Alloc>::iterator,
1197	 typename _Rb_tree<_Key, _Val, _KeyOfValue,
1198			   _Compare, _Alloc>::iterator>
1199    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1200    equal_range(const _Key& __k)
1201    {
1202      _Link_type __x = _M_begin();
1203      _Link_type __y = _M_end();
1204      while (__x != 0)
1205	{
1206	  if (_M_impl._M_key_compare(_S_key(__x), __k))
1207	    __x = _S_right(__x);
1208	  else if (_M_impl._M_key_compare(__k, _S_key(__x)))
1209	    __y = __x, __x = _S_left(__x);
1210	  else
1211	    {
1212	      _Link_type __xu(__x), __yu(__y);
1213	      __y = __x, __x = _S_left(__x);
1214	      __xu = _S_right(__xu);
1215	      return pair<iterator,
1216		          iterator>(_M_lower_bound(__x, __y, __k),
1217				    _M_upper_bound(__xu, __yu, __k));
1218	    }
1219	}
1220      return pair<iterator, iterator>(iterator(__y),
1221				      iterator(__y));
1222    }
1223
1224  template<typename _Key, typename _Val, typename _KeyOfValue,
1225           typename _Compare, typename _Alloc>
1226    pair<typename _Rb_tree<_Key, _Val, _KeyOfValue,
1227			   _Compare, _Alloc>::const_iterator,
1228	 typename _Rb_tree<_Key, _Val, _KeyOfValue,
1229			   _Compare, _Alloc>::const_iterator>
1230    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1231    equal_range(const _Key& __k) const
1232    {
1233      _Const_Link_type __x = _M_begin();
1234      _Const_Link_type __y = _M_end();
1235      while (__x != 0)
1236	{
1237	  if (_M_impl._M_key_compare(_S_key(__x), __k))
1238	    __x = _S_right(__x);
1239	  else if (_M_impl._M_key_compare(__k, _S_key(__x)))
1240	    __y = __x, __x = _S_left(__x);
1241	  else
1242	    {
1243	      _Const_Link_type __xu(__x), __yu(__y);
1244	      __y = __x, __x = _S_left(__x);
1245	      __xu = _S_right(__xu);
1246	      return pair<const_iterator,
1247		          const_iterator>(_M_lower_bound(__x, __y, __k),
1248					  _M_upper_bound(__xu, __yu, __k));
1249	    }
1250	}
1251      return pair<const_iterator, const_iterator>(const_iterator(__y),
1252						  const_iterator(__y));
1253    }
1254
1255  template<typename _Key, typename _Val, typename _KeyOfValue,
1256           typename _Compare, typename _Alloc>
1257    void
1258    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1259    swap(_Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __t)
1260    {
1261      if (_M_root() == 0)
1262	{
1263	  if (__t._M_root() != 0)
1264	    {
1265	      _M_root() = __t._M_root();
1266	      _M_leftmost() = __t._M_leftmost();
1267	      _M_rightmost() = __t._M_rightmost();
1268	      _M_root()->_M_parent = _M_end();
1269
1270	      __t._M_root() = 0;
1271	      __t._M_leftmost() = __t._M_end();
1272	      __t._M_rightmost() = __t._M_end();
1273	    }
1274	}
1275      else if (__t._M_root() == 0)
1276	{
1277	  __t._M_root() = _M_root();
1278	  __t._M_leftmost() = _M_leftmost();
1279	  __t._M_rightmost() = _M_rightmost();
1280	  __t._M_root()->_M_parent = __t._M_end();
1281
1282	  _M_root() = 0;
1283	  _M_leftmost() = _M_end();
1284	  _M_rightmost() = _M_end();
1285	}
1286      else
1287	{
1288	  std::swap(_M_root(),__t._M_root());
1289	  std::swap(_M_leftmost(),__t._M_leftmost());
1290	  std::swap(_M_rightmost(),__t._M_rightmost());
1291
1292	  _M_root()->_M_parent = _M_end();
1293	  __t._M_root()->_M_parent = __t._M_end();
1294	}
1295      // No need to swap header's color as it does not change.
1296      std::swap(this->_M_impl._M_node_count, __t._M_impl._M_node_count);
1297      std::swap(this->_M_impl._M_key_compare, __t._M_impl._M_key_compare);
1298
1299      // _GLIBCXX_RESOLVE_LIB_DEFECTS
1300      // 431. Swapping containers with unequal allocators.
1301      std::__alloc_swap<_Node_allocator>::
1302	_S_do_it(_M_get_Node_allocator(), __t._M_get_Node_allocator());
1303    }
1304
1305  template<typename _Key, typename _Val, typename _KeyOfValue,
1306           typename _Compare, typename _Alloc>
1307    pair<typename _Rb_tree<_Key, _Val, _KeyOfValue,
1308			   _Compare, _Alloc>::_Base_ptr,
1309	 typename _Rb_tree<_Key, _Val, _KeyOfValue,
1310			   _Compare, _Alloc>::_Base_ptr>
1311    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1312    _M_get_insert_unique_pos(const key_type& __k)
1313    {
1314      typedef pair<_Base_ptr, _Base_ptr> _Res;
1315      _Link_type __x = _M_begin();
1316      _Link_type __y = _M_end();
1317      bool __comp = true;
1318      while (__x != 0)
1319	{
1320	  __y = __x;
1321	  __comp = _M_impl._M_key_compare(__k, _S_key(__x));
1322	  __x = __comp ? _S_left(__x) : _S_right(__x);
1323	}
1324      iterator __j = iterator(__y);
1325      if (__comp)
1326	{
1327	  if (__j == begin())
1328	    return _Res(__x, __y);
1329	  else
1330	    --__j;
1331	}
1332      if (_M_impl._M_key_compare(_S_key(__j._M_node), __k))
1333	return _Res(__x, __y);
1334      return _Res(__j._M_node, 0);
1335    }
1336
1337  template<typename _Key, typename _Val, typename _KeyOfValue,
1338           typename _Compare, typename _Alloc>
1339    pair<typename _Rb_tree<_Key, _Val, _KeyOfValue,
1340			   _Compare, _Alloc>::_Base_ptr,
1341	 typename _Rb_tree<_Key, _Val, _KeyOfValue,
1342			   _Compare, _Alloc>::_Base_ptr>
1343    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1344    _M_get_insert_equal_pos(const key_type& __k)
1345    {
1346      typedef pair<_Base_ptr, _Base_ptr> _Res;
1347      _Link_type __x = _M_begin();
1348      _Link_type __y = _M_end();
1349      while (__x != 0)
1350	{
1351	  __y = __x;
1352	  __x = _M_impl._M_key_compare(__k, _S_key(__x)) ?
1353	        _S_left(__x) : _S_right(__x);
1354	}
1355      return _Res(__x, __y);
1356    }
1357
1358  template<typename _Key, typename _Val, typename _KeyOfValue,
1359           typename _Compare, typename _Alloc>
1360#if __cplusplus >= 201103L
1361    template<typename _Arg>
1362#endif
1363    pair<typename _Rb_tree<_Key, _Val, _KeyOfValue,
1364			   _Compare, _Alloc>::iterator, bool>
1365    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1366#if __cplusplus >= 201103L
1367    _M_insert_unique(_Arg&& __v)
1368#else
1369    _M_insert_unique(const _Val& __v)
1370#endif
1371    {
1372      typedef pair<iterator, bool> _Res;
1373      pair<_Base_ptr, _Base_ptr> __res
1374	= _M_get_insert_unique_pos(_KeyOfValue()(__v));
1375
1376      if (__res.second)
1377	return _Res(_M_insert_(__res.first, __res.second,
1378			       _GLIBCXX_FORWARD(_Arg, __v)),
1379		    true);
1380
1381      return _Res(iterator(static_cast<_Link_type>(__res.first)), false);
1382    }
1383
1384  template<typename _Key, typename _Val, typename _KeyOfValue,
1385           typename _Compare, typename _Alloc>
1386#if __cplusplus >= 201103L
1387    template<typename _Arg>
1388#endif
1389    typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
1390    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1391#if __cplusplus >= 201103L
1392    _M_insert_equal(_Arg&& __v)
1393#else
1394    _M_insert_equal(const _Val& __v)
1395#endif
1396    {
1397      pair<_Base_ptr, _Base_ptr> __res
1398	= _M_get_insert_equal_pos(_KeyOfValue()(__v));
1399      return _M_insert_(__res.first, __res.second, _GLIBCXX_FORWARD(_Arg, __v));
1400    }
1401
1402  template<typename _Key, typename _Val, typename _KeyOfValue,
1403           typename _Compare, typename _Alloc>
1404    pair<typename _Rb_tree<_Key, _Val, _KeyOfValue,
1405			   _Compare, _Alloc>::_Base_ptr,
1406         typename _Rb_tree<_Key, _Val, _KeyOfValue,
1407			   _Compare, _Alloc>::_Base_ptr>
1408    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1409    _M_get_insert_hint_unique_pos(const_iterator __position,
1410				  const key_type& __k)
1411    {
1412      iterator __pos = __position._M_const_cast();
1413      typedef pair<_Base_ptr, _Base_ptr> _Res;
1414
1415      // end()
1416      if (__pos._M_node == _M_end())
1417	{
1418	  if (size() > 0
1419	      && _M_impl._M_key_compare(_S_key(_M_rightmost()), __k))
1420	    return _Res(0, _M_rightmost());
1421	  else
1422	    return _M_get_insert_unique_pos(__k);
1423	}
1424      else if (_M_impl._M_key_compare(__k, _S_key(__pos._M_node)))
1425	{
1426	  // First, try before...
1427	  iterator __before = __pos;
1428	  if (__pos._M_node == _M_leftmost()) // begin()
1429	    return _Res(_M_leftmost(), _M_leftmost());
1430	  else if (_M_impl._M_key_compare(_S_key((--__before)._M_node), __k))
1431	    {
1432	      if (_S_right(__before._M_node) == 0)
1433		return _Res(0, __before._M_node);
1434	      else
1435		return _Res(__pos._M_node, __pos._M_node);
1436	    }
1437	  else
1438	    return _M_get_insert_unique_pos(__k);
1439	}
1440      else if (_M_impl._M_key_compare(_S_key(__pos._M_node), __k))
1441	{
1442	  // ... then try after.
1443	  iterator __after = __pos;
1444	  if (__pos._M_node == _M_rightmost())
1445	    return _Res(0, _M_rightmost());
1446	  else if (_M_impl._M_key_compare(__k, _S_key((++__after)._M_node)))
1447	    {
1448	      if (_S_right(__pos._M_node) == 0)
1449		return _Res(0, __pos._M_node);
1450	      else
1451		return _Res(__after._M_node, __after._M_node);
1452	    }
1453	  else
1454	    return _M_get_insert_unique_pos(__k);
1455	}
1456      else
1457	// Equivalent keys.
1458	return _Res(__pos._M_node, 0);
1459    }
1460
1461  template<typename _Key, typename _Val, typename _KeyOfValue,
1462           typename _Compare, typename _Alloc>
1463#if __cplusplus >= 201103L
1464    template<typename _Arg>
1465#endif
1466    typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
1467    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1468#if __cplusplus >= 201103L
1469    _M_insert_unique_(const_iterator __position, _Arg&& __v)
1470#else
1471    _M_insert_unique_(const_iterator __position, const _Val& __v)
1472#endif
1473    {
1474      pair<_Base_ptr, _Base_ptr> __res
1475	= _M_get_insert_hint_unique_pos(__position, _KeyOfValue()(__v));
1476
1477      if (__res.second)
1478	return _M_insert_(__res.first, __res.second,
1479			  _GLIBCXX_FORWARD(_Arg, __v));
1480      return iterator(static_cast<_Link_type>(__res.first));
1481    }
1482
1483  template<typename _Key, typename _Val, typename _KeyOfValue,
1484           typename _Compare, typename _Alloc>
1485    pair<typename _Rb_tree<_Key, _Val, _KeyOfValue,
1486			   _Compare, _Alloc>::_Base_ptr,
1487         typename _Rb_tree<_Key, _Val, _KeyOfValue,
1488			   _Compare, _Alloc>::_Base_ptr>
1489    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1490    _M_get_insert_hint_equal_pos(const_iterator __position, const key_type& __k)
1491    {
1492      iterator __pos = __position._M_const_cast();
1493      typedef pair<_Base_ptr, _Base_ptr> _Res;
1494
1495      // end()
1496      if (__pos._M_node == _M_end())
1497	{
1498	  if (size() > 0
1499	      && !_M_impl._M_key_compare(__k, _S_key(_M_rightmost())))
1500	    return _Res(0, _M_rightmost());
1501	  else
1502	    return _M_get_insert_equal_pos(__k);
1503	}
1504      else if (!_M_impl._M_key_compare(_S_key(__pos._M_node), __k))
1505	{
1506	  // First, try before...
1507	  iterator __before = __pos;
1508	  if (__pos._M_node == _M_leftmost()) // begin()
1509	    return _Res(_M_leftmost(), _M_leftmost());
1510	  else if (!_M_impl._M_key_compare(__k, _S_key((--__before)._M_node)))
1511	    {
1512	      if (_S_right(__before._M_node) == 0)
1513		return _Res(0, __before._M_node);
1514	      else
1515		return _Res(__pos._M_node, __pos._M_node);
1516	    }
1517	  else
1518	    return _M_get_insert_equal_pos(__k);
1519	}
1520      else
1521	{
1522	  // ... then try after.
1523	  iterator __after = __pos;
1524	  if (__pos._M_node == _M_rightmost())
1525	    return _Res(0, _M_rightmost());
1526	  else if (!_M_impl._M_key_compare(_S_key((++__after)._M_node), __k))
1527	    {
1528	      if (_S_right(__pos._M_node) == 0)
1529		return _Res(0, __pos._M_node);
1530	      else
1531		return _Res(__after._M_node, __after._M_node);
1532	    }
1533	  else
1534	    return _Res(0, 0);
1535	}
1536    }
1537
1538  template<typename _Key, typename _Val, typename _KeyOfValue,
1539           typename _Compare, typename _Alloc>
1540#if __cplusplus >= 201103L
1541    template<typename _Arg>
1542#endif
1543    typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
1544    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1545#if __cplusplus >= 201103L
1546    _M_insert_equal_(const_iterator __position, _Arg&& __v)
1547#else
1548    _M_insert_equal_(const_iterator __position, const _Val& __v)
1549#endif
1550    {
1551      pair<_Base_ptr, _Base_ptr> __res
1552	= _M_get_insert_hint_equal_pos(__position, _KeyOfValue()(__v));
1553
1554      if (__res.second)
1555	return _M_insert_(__res.first, __res.second,
1556			  _GLIBCXX_FORWARD(_Arg, __v));
1557
1558      return _M_insert_equal_lower(_GLIBCXX_FORWARD(_Arg, __v));
1559    }
1560
1561#if __cplusplus >= 201103L
1562  template<typename _Key, typename _Val, typename _KeyOfValue,
1563           typename _Compare, typename _Alloc>
1564    typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
1565    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1566    _M_insert_node(_Base_ptr __x, _Base_ptr __p, _Link_type __z)
1567    {
1568      bool __insert_left = (__x != 0 || __p == _M_end()
1569			    || _M_impl._M_key_compare(_S_key(__z),
1570						      _S_key(__p)));
1571
1572      _Rb_tree_insert_and_rebalance(__insert_left, __z, __p,
1573				    this->_M_impl._M_header);
1574      ++_M_impl._M_node_count;
1575      return iterator(__z);
1576    }
1577
1578  template<typename _Key, typename _Val, typename _KeyOfValue,
1579           typename _Compare, typename _Alloc>
1580    typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
1581    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1582    _M_insert_lower_node(_Base_ptr __p, _Link_type __z)
1583    {
1584      bool __insert_left = (__p == _M_end()
1585			    || !_M_impl._M_key_compare(_S_key(__p),
1586						       _S_key(__z)));
1587
1588      _Rb_tree_insert_and_rebalance(__insert_left, __z, __p,
1589				    this->_M_impl._M_header);
1590      ++_M_impl._M_node_count;
1591      return iterator(__z);
1592    }
1593
1594  template<typename _Key, typename _Val, typename _KeyOfValue,
1595           typename _Compare, typename _Alloc>
1596    typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
1597    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1598    _M_insert_equal_lower_node(_Link_type __z)
1599    {
1600      _Link_type __x = _M_begin();
1601      _Link_type __y = _M_end();
1602      while (__x != 0)
1603	{
1604	  __y = __x;
1605	  __x = !_M_impl._M_key_compare(_S_key(__x), _S_key(__z)) ?
1606	        _S_left(__x) : _S_right(__x);
1607	}
1608      return _M_insert_lower_node(__y, __z);
1609    }
1610
1611  template<typename _Key, typename _Val, typename _KeyOfValue,
1612           typename _Compare, typename _Alloc>
1613    template<typename... _Args>
1614      pair<typename _Rb_tree<_Key, _Val, _KeyOfValue,
1615			     _Compare, _Alloc>::iterator, bool>
1616      _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1617      _M_emplace_unique(_Args&&... __args)
1618      {
1619	_Link_type __z = _M_create_node(std::forward<_Args>(__args)...);
1620
1621	__try
1622	  {
1623	    typedef pair<iterator, bool> _Res;
1624	    auto __res = _M_get_insert_unique_pos(_S_key(__z));
1625	    if (__res.second)
1626	      return _Res(_M_insert_node(__res.first, __res.second, __z), true);
1627
1628	    _M_destroy_node(__z);
1629	    return _Res(iterator(static_cast<_Link_type>(__res.first)), false);
1630	  }
1631	__catch(...)
1632	  {
1633	    _M_destroy_node(__z);
1634	    __throw_exception_again;
1635	  }
1636      }
1637
1638  template<typename _Key, typename _Val, typename _KeyOfValue,
1639           typename _Compare, typename _Alloc>
1640    template<typename... _Args>
1641      typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
1642      _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1643      _M_emplace_equal(_Args&&... __args)
1644      {
1645	_Link_type __z = _M_create_node(std::forward<_Args>(__args)...);
1646
1647	__try
1648	  {
1649	    auto __res = _M_get_insert_equal_pos(_S_key(__z));
1650	    return _M_insert_node(__res.first, __res.second, __z);
1651	  }
1652	__catch(...)
1653	  {
1654	    _M_destroy_node(__z);
1655	    __throw_exception_again;
1656	  }
1657      }
1658
1659  template<typename _Key, typename _Val, typename _KeyOfValue,
1660           typename _Compare, typename _Alloc>
1661    template<typename... _Args>
1662      typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
1663      _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1664      _M_emplace_hint_unique(const_iterator __pos, _Args&&... __args)
1665      {
1666	_Link_type __z = _M_create_node(std::forward<_Args>(__args)...);
1667
1668	__try
1669	  {
1670	    auto __res = _M_get_insert_hint_unique_pos(__pos, _S_key(__z));
1671
1672	    if (__res.second)
1673	      return _M_insert_node(__res.first, __res.second, __z);
1674
1675	    _M_destroy_node(__z);
1676	    return iterator(static_cast<_Link_type>(__res.first));
1677	  }
1678	__catch(...)
1679	  {
1680	    _M_destroy_node(__z);
1681	    __throw_exception_again;
1682	  }
1683      }
1684
1685  template<typename _Key, typename _Val, typename _KeyOfValue,
1686           typename _Compare, typename _Alloc>
1687    template<typename... _Args>
1688      typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
1689      _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1690      _M_emplace_hint_equal(const_iterator __pos, _Args&&... __args)
1691      {
1692	_Link_type __z = _M_create_node(std::forward<_Args>(__args)...);
1693
1694	__try
1695	  {
1696	    auto __res = _M_get_insert_hint_equal_pos(__pos, _S_key(__z));
1697
1698	    if (__res.second)
1699	      return _M_insert_node(__res.first, __res.second, __z);
1700
1701	    return _M_insert_equal_lower_node(__z);
1702	  }
1703	__catch(...)
1704	  {
1705	    _M_destroy_node(__z);
1706	    __throw_exception_again;
1707	  }
1708      }
1709#endif
1710
1711  template<typename _Key, typename _Val, typename _KoV,
1712           typename _Cmp, typename _Alloc>
1713    template<class _II>
1714      void
1715      _Rb_tree<_Key, _Val, _KoV, _Cmp, _Alloc>::
1716      _M_insert_unique(_II __first, _II __last)
1717      {
1718	for (; __first != __last; ++__first)
1719	  _M_insert_unique_(end(), *__first);
1720      }
1721
1722  template<typename _Key, typename _Val, typename _KoV,
1723           typename _Cmp, typename _Alloc>
1724    template<class _II>
1725      void
1726      _Rb_tree<_Key, _Val, _KoV, _Cmp, _Alloc>::
1727      _M_insert_equal(_II __first, _II __last)
1728      {
1729	for (; __first != __last; ++__first)
1730	  _M_insert_equal_(end(), *__first);
1731      }
1732
1733  template<typename _Key, typename _Val, typename _KeyOfValue,
1734           typename _Compare, typename _Alloc>
1735    void
1736    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1737    _M_erase_aux(const_iterator __position)
1738    {
1739      _Link_type __y =
1740	static_cast<_Link_type>(_Rb_tree_rebalance_for_erase
1741				(const_cast<_Base_ptr>(__position._M_node),
1742				 this->_M_impl._M_header));
1743      _M_destroy_node(__y);
1744      --_M_impl._M_node_count;
1745    }
1746
1747  template<typename _Key, typename _Val, typename _KeyOfValue,
1748           typename _Compare, typename _Alloc>
1749    void
1750    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1751    _M_erase_aux(const_iterator __first, const_iterator __last)
1752    {
1753      if (__first == begin() && __last == end())
1754	clear();
1755      else
1756	while (__first != __last)
1757	  erase(__first++);
1758    }
1759
1760  template<typename _Key, typename _Val, typename _KeyOfValue,
1761           typename _Compare, typename _Alloc>
1762    typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::size_type
1763    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1764    erase(const _Key& __x)
1765    {
1766      pair<iterator, iterator> __p = equal_range(__x);
1767      const size_type __old_size = size();
1768      erase(__p.first, __p.second);
1769      return __old_size - size();
1770    }
1771
1772  template<typename _Key, typename _Val, typename _KeyOfValue,
1773           typename _Compare, typename _Alloc>
1774    void
1775    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1776    erase(const _Key* __first, const _Key* __last)
1777    {
1778      while (__first != __last)
1779	erase(*__first++);
1780    }
1781
1782  template<typename _Key, typename _Val, typename _KeyOfValue,
1783           typename _Compare, typename _Alloc>
1784    typename _Rb_tree<_Key, _Val, _KeyOfValue,
1785		      _Compare, _Alloc>::iterator
1786    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1787    find(const _Key& __k)
1788    {
1789      iterator __j = _M_lower_bound(_M_begin(), _M_end(), __k);
1790      return (__j == end()
1791	      || _M_impl._M_key_compare(__k,
1792					_S_key(__j._M_node))) ? end() : __j;
1793    }
1794
1795  template<typename _Key, typename _Val, typename _KeyOfValue,
1796           typename _Compare, typename _Alloc>
1797    typename _Rb_tree<_Key, _Val, _KeyOfValue,
1798		      _Compare, _Alloc>::const_iterator
1799    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1800    find(const _Key& __k) const
1801    {
1802      const_iterator __j = _M_lower_bound(_M_begin(), _M_end(), __k);
1803      return (__j == end()
1804	      || _M_impl._M_key_compare(__k,
1805					_S_key(__j._M_node))) ? end() : __j;
1806    }
1807
1808  template<typename _Key, typename _Val, typename _KeyOfValue,
1809           typename _Compare, typename _Alloc>
1810    typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::size_type
1811    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
1812    count(const _Key& __k) const
1813    {
1814      pair<const_iterator, const_iterator> __p = equal_range(__k);
1815      const size_type __n = std::distance(__p.first, __p.second);
1816      return __n;
1817    }
1818
1819  _GLIBCXX_PURE unsigned int
1820  _Rb_tree_black_count(const _Rb_tree_node_base* __node,
1821                       const _Rb_tree_node_base* __root) throw ();
1822
1823  template<typename _Key, typename _Val, typename _KeyOfValue,
1824           typename _Compare, typename _Alloc>
1825    bool
1826    _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::__rb_verify() const
1827    {
1828      if (_M_impl._M_node_count == 0 || begin() == end())
1829	return _M_impl._M_node_count == 0 && begin() == end()
1830	       && this->_M_impl._M_header._M_left == _M_end()
1831	       && this->_M_impl._M_header._M_right == _M_end();
1832
1833      unsigned int __len = _Rb_tree_black_count(_M_leftmost(), _M_root());
1834      for (const_iterator __it = begin(); __it != end(); ++__it)
1835	{
1836	  _Const_Link_type __x = static_cast<_Const_Link_type>(__it._M_node);
1837	  _Const_Link_type __L = _S_left(__x);
1838	  _Const_Link_type __R = _S_right(__x);
1839
1840	  if (__x->_M_color == _S_red)
1841	    if ((__L && __L->_M_color == _S_red)
1842		|| (__R && __R->_M_color == _S_red))
1843	      return false;
1844
1845	  if (__L && _M_impl._M_key_compare(_S_key(__x), _S_key(__L)))
1846	    return false;
1847	  if (__R && _M_impl._M_key_compare(_S_key(__R), _S_key(__x)))
1848	    return false;
1849
1850	  if (!__L && !__R && _Rb_tree_black_count(__x, _M_root()) != __len)
1851	    return false;
1852	}
1853
1854      if (_M_leftmost() != _Rb_tree_node_base::_S_minimum(_M_root()))
1855	return false;
1856      if (_M_rightmost() != _Rb_tree_node_base::_S_maximum(_M_root()))
1857	return false;
1858      return true;
1859    }
1860
1861_GLIBCXX_END_NAMESPACE_VERSION
1862} // namespace
1863
1864#endif
1865