xref: /llvm-project-15.0.7/libcxx/include/__tree (revision f4debddb)
1// -*- C++ -*-
2//===----------------------------------------------------------------------===//
3//
4//                     The LLVM Compiler Infrastructure
5//
6// This file is dual licensed under the MIT and the University of Illinois Open
7// Source Licenses. See LICENSE.TXT for details.
8//
9//===----------------------------------------------------------------------===//
10
11#ifndef _LIBCPP___TREE
12#define _LIBCPP___TREE
13
14#include <__config>
15#include <iterator>
16#include <memory>
17#include <stdexcept>
18#include <algorithm>
19
20#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
21#pragma GCC system_header
22#endif
23
24_LIBCPP_BEGIN_NAMESPACE_STD
25
26template <class _Tp, class _Compare, class _Allocator> class __tree;
27template <class _Tp, class _NodePtr, class _DiffType>
28    class _LIBCPP_TYPE_VIS_ONLY __tree_iterator;
29template <class _Tp, class _ConstNodePtr, class _DiffType>
30    class _LIBCPP_TYPE_VIS_ONLY __tree_const_iterator;
31
32template <class _Pointer> class __tree_end_node;
33template <class _VoidPtr> class __tree_node_base;
34template <class _Tp, class _VoidPtr> class __tree_node;
35
36#ifndef _LIBCPP_CXX03_LANG
37template <class _Key, class _Value>
38union __value_type;
39#else
40template <class _Key, class _Value>
41struct __value_type;
42#endif
43
44template <class _Allocator> class __map_node_destructor;
45template <class _TreeIterator> class _LIBCPP_TYPE_VIS_ONLY __map_iterator;
46template <class _TreeIterator> class _LIBCPP_TYPE_VIS_ONLY __map_const_iterator;
47
48/*
49
50_NodePtr algorithms
51
52The algorithms taking _NodePtr are red black tree algorithms.  Those
53algorithms taking a parameter named __root should assume that __root
54points to a proper red black tree (unless otherwise specified).
55
56Each algorithm herein assumes that __root->__parent_ points to a non-null
57structure which has a member __left_ which points back to __root.  No other
58member is read or written to at __root->__parent_.
59
60__root->__parent_ will be referred to below (in comments only) as end_node.
61end_node->__left_ is an externably accessible lvalue for __root, and can be
62changed by node insertion and removal (without explicit reference to end_node).
63
64All nodes (with the exception of end_node), even the node referred to as
65__root, have a non-null __parent_ field.
66
67*/
68
69// Returns:  true if __x is a left child of its parent, else false
70// Precondition:  __x != nullptr.
71template <class _NodePtr>
72inline _LIBCPP_INLINE_VISIBILITY
73bool
74__tree_is_left_child(_NodePtr __x) _NOEXCEPT
75{
76    return __x == __x->__parent_->__left_;
77}
78
79// Determintes if the subtree rooted at __x is a proper red black subtree.  If
80//    __x is a proper subtree, returns the black height (null counts as 1).  If
81//    __x is an improper subtree, returns 0.
82template <class _NodePtr>
83unsigned
84__tree_sub_invariant(_NodePtr __x)
85{
86    if (__x == nullptr)
87        return 1;
88    // parent consistency checked by caller
89    // check __x->__left_ consistency
90    if (__x->__left_ != nullptr && __x->__left_->__parent_ != __x)
91        return 0;
92    // check __x->__right_ consistency
93    if (__x->__right_ != nullptr && __x->__right_->__parent_ != __x)
94        return 0;
95    // check __x->__left_ != __x->__right_ unless both are nullptr
96    if (__x->__left_ == __x->__right_ && __x->__left_ != nullptr)
97        return 0;
98    // If this is red, neither child can be red
99    if (!__x->__is_black_)
100    {
101        if (__x->__left_ && !__x->__left_->__is_black_)
102            return 0;
103        if (__x->__right_ && !__x->__right_->__is_black_)
104            return 0;
105    }
106    unsigned __h = __tree_sub_invariant(__x->__left_);
107    if (__h == 0)
108        return 0;  // invalid left subtree
109    if (__h != __tree_sub_invariant(__x->__right_))
110        return 0;  // invalid or different height right subtree
111    return __h + __x->__is_black_;  // return black height of this node
112}
113
114// Determintes if the red black tree rooted at __root is a proper red black tree.
115//    __root == nullptr is a proper tree.  Returns true is __root is a proper
116//    red black tree, else returns false.
117template <class _NodePtr>
118bool
119__tree_invariant(_NodePtr __root)
120{
121    if (__root == nullptr)
122        return true;
123    // check __x->__parent_ consistency
124    if (__root->__parent_ == nullptr)
125        return false;
126    if (!__tree_is_left_child(__root))
127        return false;
128    // root must be black
129    if (!__root->__is_black_)
130        return false;
131    // do normal node checks
132    return __tree_sub_invariant(__root) != 0;
133}
134
135// Returns:  pointer to the left-most node under __x.
136// Precondition:  __x != nullptr.
137template <class _NodePtr>
138inline _LIBCPP_INLINE_VISIBILITY
139_NodePtr
140__tree_min(_NodePtr __x) _NOEXCEPT
141{
142    while (__x->__left_ != nullptr)
143        __x = __x->__left_;
144    return __x;
145}
146
147// Returns:  pointer to the right-most node under __x.
148// Precondition:  __x != nullptr.
149template <class _NodePtr>
150inline _LIBCPP_INLINE_VISIBILITY
151_NodePtr
152__tree_max(_NodePtr __x) _NOEXCEPT
153{
154    while (__x->__right_ != nullptr)
155        __x = __x->__right_;
156    return __x;
157}
158
159// Returns:  pointer to the next in-order node after __x.
160// Precondition:  __x != nullptr.
161template <class _NodePtr>
162_NodePtr
163__tree_next(_NodePtr __x) _NOEXCEPT
164{
165    if (__x->__right_ != nullptr)
166        return __tree_min(__x->__right_);
167    while (!__tree_is_left_child(__x))
168        __x = __x->__parent_unsafe();
169    return __x->__parent_unsafe();
170}
171
172template <class _EndNodePtr, class _NodePtr>
173inline _LIBCPP_INLINE_VISIBILITY
174_EndNodePtr
175__tree_next_iter(_NodePtr __x) _NOEXCEPT
176{
177    if (__x->__right_ != nullptr)
178        return static_cast<_EndNodePtr>(__tree_min(__x->__right_));
179    while (!__tree_is_left_child(__x))
180        __x = __x->__parent_unsafe();
181    return static_cast<_EndNodePtr>(__x->__parent_);
182}
183
184// Returns:  pointer to the previous in-order node before __x.
185// Precondition:  __x != nullptr.
186// Note: __x may be the end node.
187template <class _NodePtr, class _EndNodePtr>
188inline _LIBCPP_INLINE_VISIBILITY
189_NodePtr
190__tree_prev_iter(_EndNodePtr __x) _NOEXCEPT
191{
192    if (__x->__left_ != nullptr)
193        return __tree_max(__x->__left_);
194    _NodePtr __xx = static_cast<_NodePtr>(__x);
195    while (__tree_is_left_child(__xx))
196        __xx = __xx->__parent_unsafe();
197    return __xx->__parent_unsafe();
198}
199
200// Returns:  pointer to a node which has no children
201// Precondition:  __x != nullptr.
202template <class _NodePtr>
203_NodePtr
204__tree_leaf(_NodePtr __x) _NOEXCEPT
205{
206    while (true)
207    {
208        if (__x->__left_ != nullptr)
209        {
210            __x = __x->__left_;
211            continue;
212        }
213        if (__x->__right_ != nullptr)
214        {
215            __x = __x->__right_;
216            continue;
217        }
218        break;
219    }
220    return __x;
221}
222
223// Effects:  Makes __x->__right_ the subtree root with __x as its left child
224//           while preserving in-order order.
225// Precondition:  __x->__right_ != nullptr
226template <class _NodePtr>
227void
228__tree_left_rotate(_NodePtr __x) _NOEXCEPT
229{
230    _NodePtr __y = __x->__right_;
231    __x->__right_ = __y->__left_;
232    if (__x->__right_ != nullptr)
233        __x->__right_->__set_parent(__x);
234    __y->__parent_ = __x->__parent_;
235    if (__tree_is_left_child(__x))
236        __x->__parent_->__left_ = __y;
237    else
238        __x->__parent_unsafe()->__right_ = __y;
239    __y->__left_ = __x;
240    __x->__set_parent(__y);
241}
242
243// Effects:  Makes __x->__left_ the subtree root with __x as its right child
244//           while preserving in-order order.
245// Precondition:  __x->__left_ != nullptr
246template <class _NodePtr>
247void
248__tree_right_rotate(_NodePtr __x) _NOEXCEPT
249{
250    _NodePtr __y = __x->__left_;
251    __x->__left_ = __y->__right_;
252    if (__x->__left_ != nullptr)
253        __x->__left_->__set_parent(__x);
254    __y->__parent_ = __x->__parent_;
255    if (__tree_is_left_child(__x))
256        __x->__parent_->__left_ = __y;
257    else
258        __x->__parent_unsafe()->__right_ = __y;
259    __y->__right_ = __x;
260    __x->__set_parent(__y);
261}
262
263// Effects:  Rebalances __root after attaching __x to a leaf.
264// Precondition:  __root != nulptr && __x != nullptr.
265//                __x has no children.
266//                __x == __root or == a direct or indirect child of __root.
267//                If __x were to be unlinked from __root (setting __root to
268//                  nullptr if __root == __x), __tree_invariant(__root) == true.
269// Postcondition: __tree_invariant(end_node->__left_) == true.  end_node->__left_
270//                may be different than the value passed in as __root.
271template <class _NodePtr>
272void
273__tree_balance_after_insert(_NodePtr __root, _NodePtr __x) _NOEXCEPT
274{
275    __x->__is_black_ = __x == __root;
276    while (__x != __root && !__x->__parent_unsafe()->__is_black_)
277    {
278        // __x->__parent_ != __root because __x->__parent_->__is_black == false
279        if (__tree_is_left_child(__x->__parent_unsafe()))
280        {
281            _NodePtr __y = __x->__parent_unsafe()->__parent_unsafe()->__right_;
282            if (__y != nullptr && !__y->__is_black_)
283            {
284                __x = __x->__parent_unsafe();
285                __x->__is_black_ = true;
286                __x = __x->__parent_unsafe();
287                __x->__is_black_ = __x == __root;
288                __y->__is_black_ = true;
289            }
290            else
291            {
292                if (!__tree_is_left_child(__x))
293                {
294                    __x = __x->__parent_unsafe();
295                    __tree_left_rotate(__x);
296                }
297                __x = __x->__parent_unsafe();
298                __x->__is_black_ = true;
299                __x = __x->__parent_unsafe();
300                __x->__is_black_ = false;
301                __tree_right_rotate(__x);
302                break;
303            }
304        }
305        else
306        {
307            _NodePtr __y = __x->__parent_unsafe()->__parent_->__left_;
308            if (__y != nullptr && !__y->__is_black_)
309            {
310                __x = __x->__parent_unsafe();
311                __x->__is_black_ = true;
312                __x = __x->__parent_unsafe();
313                __x->__is_black_ = __x == __root;
314                __y->__is_black_ = true;
315            }
316            else
317            {
318                if (__tree_is_left_child(__x))
319                {
320                    __x = __x->__parent_unsafe();
321                    __tree_right_rotate(__x);
322                }
323                __x = __x->__parent_unsafe();
324                __x->__is_black_ = true;
325                __x = __x->__parent_unsafe();
326                __x->__is_black_ = false;
327                __tree_left_rotate(__x);
328                break;
329            }
330        }
331    }
332}
333
334// Precondition:  __root != nullptr && __z != nullptr.
335//                __tree_invariant(__root) == true.
336//                __z == __root or == a direct or indirect child of __root.
337// Effects:  unlinks __z from the tree rooted at __root, rebalancing as needed.
338// Postcondition: __tree_invariant(end_node->__left_) == true && end_node->__left_
339//                nor any of its children refer to __z.  end_node->__left_
340//                may be different than the value passed in as __root.
341template <class _NodePtr>
342void
343__tree_remove(_NodePtr __root, _NodePtr __z) _NOEXCEPT
344{
345    // __z will be removed from the tree.  Client still needs to destruct/deallocate it
346    // __y is either __z, or if __z has two children, __tree_next(__z).
347    // __y will have at most one child.
348    // __y will be the initial hole in the tree (make the hole at a leaf)
349    _NodePtr __y = (__z->__left_ == nullptr || __z->__right_ == nullptr) ?
350                    __z : __tree_next(__z);
351    // __x is __y's possibly null single child
352    _NodePtr __x = __y->__left_ != nullptr ? __y->__left_ : __y->__right_;
353    // __w is __x's possibly null uncle (will become __x's sibling)
354    _NodePtr __w = nullptr;
355    // link __x to __y's parent, and find __w
356    if (__x != nullptr)
357        __x->__parent_ = __y->__parent_;
358    if (__tree_is_left_child(__y))
359    {
360        __y->__parent_->__left_ = __x;
361        if (__y != __root)
362            __w = __y->__parent_unsafe()->__right_;
363        else
364            __root = __x;  // __w == nullptr
365    }
366    else
367    {
368        __y->__parent_unsafe()->__right_ = __x;
369        // __y can't be root if it is a right child
370        __w = __y->__parent_->__left_;
371    }
372    bool __removed_black = __y->__is_black_;
373    // If we didn't remove __z, do so now by splicing in __y for __z,
374    //    but copy __z's color.  This does not impact __x or __w.
375    if (__y != __z)
376    {
377        // __z->__left_ != nulptr but __z->__right_ might == __x == nullptr
378        __y->__parent_ = __z->__parent_;
379        if (__tree_is_left_child(__z))
380            __y->__parent_->__left_ = __y;
381        else
382            __y->__parent_unsafe()->__right_ = __y;
383        __y->__left_ = __z->__left_;
384        __y->__left_->__set_parent(__y);
385        __y->__right_ = __z->__right_;
386        if (__y->__right_ != nullptr)
387            __y->__right_->__set_parent(__y);
388        __y->__is_black_ = __z->__is_black_;
389        if (__root == __z)
390            __root = __y;
391    }
392    // There is no need to rebalance if we removed a red, or if we removed
393    //     the last node.
394    if (__removed_black && __root != nullptr)
395    {
396        // Rebalance:
397        // __x has an implicit black color (transferred from the removed __y)
398        //    associated with it, no matter what its color is.
399        // If __x is __root (in which case it can't be null), it is supposed
400        //    to be black anyway, and if it is doubly black, then the double
401        //    can just be ignored.
402        // If __x is red (in which case it can't be null), then it can absorb
403        //    the implicit black just by setting its color to black.
404        // Since __y was black and only had one child (which __x points to), __x
405        //   is either red with no children, else null, otherwise __y would have
406        //   different black heights under left and right pointers.
407        // if (__x == __root || __x != nullptr && !__x->__is_black_)
408        if (__x != nullptr)
409            __x->__is_black_ = true;
410        else
411        {
412            //  Else __x isn't root, and is "doubly black", even though it may
413            //     be null.  __w can not be null here, else the parent would
414            //     see a black height >= 2 on the __x side and a black height
415            //     of 1 on the __w side (__w must be a non-null black or a red
416            //     with a non-null black child).
417            while (true)
418            {
419                if (!__tree_is_left_child(__w))  // if x is left child
420                {
421                    if (!__w->__is_black_)
422                    {
423                        __w->__is_black_ = true;
424                        __w->__parent_unsafe()->__is_black_ = false;
425                        __tree_left_rotate(__w->__parent_unsafe());
426                        // __x is still valid
427                        // reset __root only if necessary
428                        if (__root == __w->__left_)
429                            __root = __w;
430                        // reset sibling, and it still can't be null
431                        __w = __w->__left_->__right_;
432                    }
433                    // __w->__is_black_ is now true, __w may have null children
434                    if ((__w->__left_  == nullptr || __w->__left_->__is_black_) &&
435                        (__w->__right_ == nullptr || __w->__right_->__is_black_))
436                    {
437                        __w->__is_black_ = false;
438                        __x = __w->__parent_unsafe();
439                        // __x can no longer be null
440                        if (__x == __root || !__x->__is_black_)
441                        {
442                            __x->__is_black_ = true;
443                            break;
444                        }
445                        // reset sibling, and it still can't be null
446                        __w = __tree_is_left_child(__x) ?
447                                    __x->__parent_unsafe()->__right_ :
448                                    __x->__parent_->__left_;
449                        // continue;
450                    }
451                    else  // __w has a red child
452                    {
453                        if (__w->__right_ == nullptr || __w->__right_->__is_black_)
454                        {
455                            // __w left child is non-null and red
456                            __w->__left_->__is_black_ = true;
457                            __w->__is_black_ = false;
458                            __tree_right_rotate(__w);
459                            // __w is known not to be root, so root hasn't changed
460                            // reset sibling, and it still can't be null
461                            __w = __w->__parent_unsafe();
462                        }
463                        // __w has a right red child, left child may be null
464                        __w->__is_black_ = __w->__parent_unsafe()->__is_black_;
465                        __w->__parent_unsafe()->__is_black_ = true;
466                        __w->__right_->__is_black_ = true;
467                        __tree_left_rotate(__w->__parent_unsafe());
468                        break;
469                    }
470                }
471                else
472                {
473                    if (!__w->__is_black_)
474                    {
475                        __w->__is_black_ = true;
476                        __w->__parent_unsafe()->__is_black_ = false;
477                        __tree_right_rotate(__w->__parent_unsafe());
478                        // __x is still valid
479                        // reset __root only if necessary
480                        if (__root == __w->__right_)
481                            __root = __w;
482                        // reset sibling, and it still can't be null
483                        __w = __w->__right_->__left_;
484                    }
485                    // __w->__is_black_ is now true, __w may have null children
486                    if ((__w->__left_  == nullptr || __w->__left_->__is_black_) &&
487                        (__w->__right_ == nullptr || __w->__right_->__is_black_))
488                    {
489                        __w->__is_black_ = false;
490                        __x = __w->__parent_unsafe();
491                        // __x can no longer be null
492                        if (!__x->__is_black_ || __x == __root)
493                        {
494                            __x->__is_black_ = true;
495                            break;
496                        }
497                        // reset sibling, and it still can't be null
498                        __w = __tree_is_left_child(__x) ?
499                                    __x->__parent_unsafe()->__right_ :
500                                    __x->__parent_->__left_;
501                        // continue;
502                    }
503                    else  // __w has a red child
504                    {
505                        if (__w->__left_ == nullptr || __w->__left_->__is_black_)
506                        {
507                            // __w right child is non-null and red
508                            __w->__right_->__is_black_ = true;
509                            __w->__is_black_ = false;
510                            __tree_left_rotate(__w);
511                            // __w is known not to be root, so root hasn't changed
512                            // reset sibling, and it still can't be null
513                            __w = __w->__parent_unsafe();
514                        }
515                        // __w has a left red child, right child may be null
516                        __w->__is_black_ = __w->__parent_unsafe()->__is_black_;
517                        __w->__parent_unsafe()->__is_black_ = true;
518                        __w->__left_->__is_black_ = true;
519                        __tree_right_rotate(__w->__parent_unsafe());
520                        break;
521                    }
522                }
523            }
524        }
525    }
526}
527
528// node traits
529
530
531#ifndef _LIBCPP_CXX03_LANG
532template <class _Tp>
533struct __is_tree_value_type_imp : false_type {};
534
535template <class _Key, class _Value>
536struct __is_tree_value_type_imp<__value_type<_Key, _Value>> : true_type {};
537
538template <class ..._Args>
539struct __is_tree_value_type : false_type {};
540
541template <class _One>
542struct __is_tree_value_type<_One> : __is_tree_value_type_imp<typename __uncvref<_One>::type> {};
543#endif
544
545template <class _Tp>
546struct __tree_key_value_types {
547  typedef _Tp key_type;
548  typedef _Tp __node_value_type;
549  typedef _Tp __container_value_type;
550  static const bool __is_map = false;
551
552  _LIBCPP_INLINE_VISIBILITY
553  static key_type const& __get_key(_Tp const& __v) {
554    return __v;
555  }
556  _LIBCPP_INLINE_VISIBILITY
557  static __container_value_type const& __get_value(__node_value_type const& __v) {
558    return __v;
559  }
560  _LIBCPP_INLINE_VISIBILITY
561  static __container_value_type* __get_ptr(__node_value_type& __n) {
562    return _VSTD::addressof(__n);
563  }
564
565#ifndef _LIBCPP_CXX03_LANG
566  _LIBCPP_INLINE_VISIBILITY
567  static  __container_value_type&& __move(__node_value_type& __v) {
568    return _VSTD::move(__v);
569  }
570#endif
571};
572
573template <class _Key, class _Tp>
574struct __tree_key_value_types<__value_type<_Key, _Tp> > {
575  typedef _Key                                         key_type;
576  typedef _Tp                                          mapped_type;
577  typedef __value_type<_Key, _Tp>                      __node_value_type;
578  typedef pair<const _Key, _Tp>                        __container_value_type;
579  typedef pair<_Key, _Tp>                              __nc_value_type;
580  typedef __container_value_type                       __map_value_type;
581  static const bool __is_map = true;
582
583  _LIBCPP_INLINE_VISIBILITY
584  static key_type const&
585  __get_key(__node_value_type const& __t) {
586    return __t.__cc.first;
587  }
588
589  template <class _Up>
590  _LIBCPP_INLINE_VISIBILITY
591  static typename enable_if<__is_same_uncvref<_Up, __container_value_type>::value,
592      key_type const&>::type
593  __get_key(_Up& __t) {
594    return __t.first;
595  }
596
597  _LIBCPP_INLINE_VISIBILITY
598  static __container_value_type const&
599  __get_value(__node_value_type const& __t) {
600    return __t.__cc;
601  }
602
603  template <class _Up>
604  _LIBCPP_INLINE_VISIBILITY
605  static typename enable_if<__is_same_uncvref<_Up, __container_value_type>::value,
606      __container_value_type const&>::type
607  __get_value(_Up& __t) {
608    return __t;
609  }
610
611  _LIBCPP_INLINE_VISIBILITY
612  static __container_value_type* __get_ptr(__node_value_type& __n) {
613    return _VSTD::addressof(__n.__cc);
614  }
615
616#ifndef _LIBCPP_CXX03_LANG
617  _LIBCPP_INLINE_VISIBILITY
618  static  __nc_value_type&& __move(__node_value_type& __v) {
619    return _VSTD::move(__v.__nc);
620  }
621#endif
622};
623
624template <class _VoidPtr>
625struct __tree_node_base_types {
626  typedef _VoidPtr                                               __void_pointer;
627
628  typedef __tree_node_base<__void_pointer>                      __node_base_type;
629  typedef typename __rebind_pointer<_VoidPtr, __node_base_type>::type
630                                                             __node_base_pointer;
631
632  typedef __tree_end_node<__node_base_pointer>                  __end_node_type;
633  typedef typename __rebind_pointer<_VoidPtr, __end_node_type>::type
634                                                             __end_node_pointer;
635#if defined(_LIBCPP_ABI_TREE_REMOVE_NODE_POINTER_UB)
636  typedef __end_node_pointer __parent_pointer;
637#else
638  typedef typename conditional<
639      is_pointer<__end_node_pointer>::value,
640        __end_node_pointer,
641        __node_base_pointer>::type __parent_pointer;
642#endif
643
644private:
645  static_assert((is_same<typename pointer_traits<_VoidPtr>::element_type, void>::value),
646                  "_VoidPtr does not point to unqualified void type");
647};
648
649template <class _Tp, class _AllocPtr, class _KVTypes = __tree_key_value_types<_Tp>,
650         bool = _KVTypes::__is_map>
651struct __tree_map_pointer_types {};
652
653template <class _Tp, class _AllocPtr, class _KVTypes>
654struct __tree_map_pointer_types<_Tp, _AllocPtr, _KVTypes, true> {
655  typedef typename _KVTypes::__map_value_type   _Mv;
656  typedef typename __rebind_pointer<_AllocPtr, _Mv>::type
657                                                       __map_value_type_pointer;
658  typedef typename __rebind_pointer<_AllocPtr, const _Mv>::type
659                                                 __const_map_value_type_pointer;
660};
661
662template <class _NodePtr, class _NodeT = typename pointer_traits<_NodePtr>::element_type>
663struct __tree_node_types;
664
665template <class _NodePtr, class _Tp, class _VoidPtr>
666struct __tree_node_types<_NodePtr, __tree_node<_Tp, _VoidPtr> >
667    : public __tree_node_base_types<_VoidPtr>,
668             __tree_key_value_types<_Tp>,
669             __tree_map_pointer_types<_Tp, _VoidPtr>
670{
671  typedef __tree_node_base_types<_VoidPtr> __base;
672  typedef __tree_key_value_types<_Tp>      __key_base;
673  typedef __tree_map_pointer_types<_Tp, _VoidPtr> __map_pointer_base;
674public:
675
676  typedef typename pointer_traits<_NodePtr>::element_type       __node_type;
677  typedef _NodePtr                                              __node_pointer;
678
679  typedef _Tp                                                 __node_value_type;
680  typedef typename __rebind_pointer<_VoidPtr, __node_value_type>::type
681                                                      __node_value_type_pointer;
682  typedef typename __rebind_pointer<_VoidPtr, const __node_value_type>::type
683                                                __const_node_value_type_pointer;
684#if defined(_LIBCPP_ABI_TREE_REMOVE_NODE_POINTER_UB)
685  typedef typename __base::__end_node_pointer __iter_pointer;
686#else
687  typedef typename conditional<
688      is_pointer<__node_pointer>::value,
689        typename __base::__end_node_pointer,
690        __node_pointer>::type __iter_pointer;
691#endif
692private:
693    static_assert(!is_const<__node_type>::value,
694                "_NodePtr should never be a pointer to const");
695    static_assert((is_same<typename __rebind_pointer<_VoidPtr, __node_type>::type,
696                          _NodePtr>::value), "_VoidPtr does not rebind to _NodePtr.");
697};
698
699template <class _ValueTp, class _VoidPtr>
700struct __make_tree_node_types {
701  typedef typename __rebind_pointer<_VoidPtr, __tree_node<_ValueTp, _VoidPtr> >::type
702                                                                        _NodePtr;
703  typedef __tree_node_types<_NodePtr> type;
704};
705
706// node
707
708template <class _Pointer>
709class __tree_end_node
710{
711public:
712    typedef _Pointer pointer;
713    pointer __left_;
714
715    _LIBCPP_INLINE_VISIBILITY
716    __tree_end_node() _NOEXCEPT : __left_() {}
717};
718
719template <class _VoidPtr>
720class __tree_node_base
721    : public __tree_node_base_types<_VoidPtr>::__end_node_type
722{
723    typedef __tree_node_base_types<_VoidPtr> _NodeBaseTypes;
724
725public:
726    typedef typename _NodeBaseTypes::__node_base_pointer pointer;
727    typedef typename _NodeBaseTypes::__parent_pointer __parent_pointer;
728
729    pointer          __right_;
730    __parent_pointer __parent_;
731    bool __is_black_;
732
733    _LIBCPP_INLINE_VISIBILITY
734    pointer __parent_unsafe() const { return static_cast<pointer>(__parent_);}
735
736    _LIBCPP_INLINE_VISIBILITY
737    void __set_parent(pointer __p) {
738        __parent_ = static_cast<__parent_pointer>(__p);
739    }
740
741private:
742  ~__tree_node_base() _LIBCPP_EQUAL_DELETE;
743  __tree_node_base(__tree_node_base const&) _LIBCPP_EQUAL_DELETE;
744  __tree_node_base& operator=(__tree_node_base const&) _LIBCPP_EQUAL_DELETE;
745};
746
747template <class _Tp, class _VoidPtr>
748class __tree_node
749    : public __tree_node_base<_VoidPtr>
750{
751public:
752    typedef _Tp __node_value_type;
753
754    __node_value_type __value_;
755
756private:
757  ~__tree_node() _LIBCPP_EQUAL_DELETE;
758  __tree_node(__tree_node const&) _LIBCPP_EQUAL_DELETE;
759  __tree_node& operator=(__tree_node const&) _LIBCPP_EQUAL_DELETE;
760};
761
762
763template <class _Allocator>
764class __tree_node_destructor
765{
766    typedef _Allocator                                      allocator_type;
767    typedef allocator_traits<allocator_type>                __alloc_traits;
768
769public:
770    typedef typename __alloc_traits::pointer                pointer;
771private:
772    typedef __tree_node_types<pointer> _NodeTypes;
773    allocator_type& __na_;
774
775    __tree_node_destructor& operator=(const __tree_node_destructor&);
776
777public:
778    bool __value_constructed;
779
780    _LIBCPP_INLINE_VISIBILITY
781    explicit __tree_node_destructor(allocator_type& __na, bool __val = false) _NOEXCEPT
782        : __na_(__na),
783          __value_constructed(__val)
784        {}
785
786    _LIBCPP_INLINE_VISIBILITY
787    void operator()(pointer __p) _NOEXCEPT
788    {
789        if (__value_constructed)
790            __alloc_traits::destroy(__na_, _NodeTypes::__get_ptr(__p->__value_));
791        if (__p)
792            __alloc_traits::deallocate(__na_, __p, 1);
793    }
794
795    template <class> friend class __map_node_destructor;
796};
797
798
799template <class _Tp, class _NodePtr, class _DiffType>
800class _LIBCPP_TYPE_VIS_ONLY __tree_iterator
801{
802    typedef __tree_node_types<_NodePtr>                     _NodeTypes;
803    typedef _NodePtr                                        __node_pointer;
804    typedef typename _NodeTypes::__node_base_pointer        __node_base_pointer;
805    typedef typename _NodeTypes::__end_node_pointer         __end_node_pointer;
806    typedef typename _NodeTypes::__iter_pointer             __iter_pointer;
807    typedef pointer_traits<__node_pointer> __pointer_traits;
808
809    __iter_pointer __ptr_;
810
811public:
812    typedef bidirectional_iterator_tag                     iterator_category;
813    typedef _Tp                                            value_type;
814    typedef _DiffType                                      difference_type;
815    typedef value_type&                                    reference;
816    typedef typename _NodeTypes::__node_value_type_pointer pointer;
817
818    _LIBCPP_INLINE_VISIBILITY __tree_iterator() _NOEXCEPT
819#if _LIBCPP_STD_VER > 11
820    : __ptr_(nullptr)
821#endif
822    {}
823
824    _LIBCPP_INLINE_VISIBILITY reference operator*() const
825        {return __get_np()->__value_;}
826    _LIBCPP_INLINE_VISIBILITY pointer operator->() const
827        {return pointer_traits<pointer>::pointer_to(__get_np()->__value_);}
828
829    _LIBCPP_INLINE_VISIBILITY
830    __tree_iterator& operator++() {
831      __ptr_ = static_cast<__iter_pointer>(
832          __tree_next_iter<__end_node_pointer>(static_cast<__node_base_pointer>(__ptr_)));
833      return *this;
834    }
835    _LIBCPP_INLINE_VISIBILITY
836    __tree_iterator operator++(int)
837        {__tree_iterator __t(*this); ++(*this); return __t;}
838
839    _LIBCPP_INLINE_VISIBILITY
840    __tree_iterator& operator--() {
841      __ptr_ = static_cast<__iter_pointer>(__tree_prev_iter<__node_base_pointer>(
842          static_cast<__end_node_pointer>(__ptr_)));
843      return *this;
844    }
845    _LIBCPP_INLINE_VISIBILITY
846    __tree_iterator operator--(int)
847        {__tree_iterator __t(*this); --(*this); return __t;}
848
849    friend _LIBCPP_INLINE_VISIBILITY
850        bool operator==(const __tree_iterator& __x, const __tree_iterator& __y)
851        {return __x.__ptr_ == __y.__ptr_;}
852    friend _LIBCPP_INLINE_VISIBILITY
853        bool operator!=(const __tree_iterator& __x, const __tree_iterator& __y)
854        {return !(__x == __y);}
855
856private:
857    _LIBCPP_INLINE_VISIBILITY
858    explicit __tree_iterator(__node_pointer __p) _NOEXCEPT : __ptr_(__p) {}
859    _LIBCPP_INLINE_VISIBILITY
860    explicit __tree_iterator(__end_node_pointer __p) _NOEXCEPT : __ptr_(__p) {}
861    _LIBCPP_INLINE_VISIBILITY
862    __node_pointer __get_np() const { return static_cast<__node_pointer>(__ptr_); }
863    template <class, class, class> friend class __tree;
864    template <class, class, class> friend class _LIBCPP_TYPE_VIS_ONLY __tree_const_iterator;
865    template <class> friend class _LIBCPP_TYPE_VIS_ONLY __map_iterator;
866    template <class, class, class, class> friend class _LIBCPP_TYPE_VIS_ONLY map;
867    template <class, class, class, class> friend class _LIBCPP_TYPE_VIS_ONLY multimap;
868    template <class, class, class> friend class _LIBCPP_TYPE_VIS_ONLY set;
869    template <class, class, class> friend class _LIBCPP_TYPE_VIS_ONLY multiset;
870};
871
872template <class _Tp, class _NodePtr, class _DiffType>
873class _LIBCPP_TYPE_VIS_ONLY __tree_const_iterator
874{
875    typedef __tree_node_types<_NodePtr>                     _NodeTypes;
876    typedef typename _NodeTypes::__node_pointer             __node_pointer;
877    typedef typename _NodeTypes::__node_base_pointer        __node_base_pointer;
878    typedef typename _NodeTypes::__end_node_pointer         __end_node_pointer;
879    typedef typename _NodeTypes::__iter_pointer             __iter_pointer;
880    typedef pointer_traits<__node_pointer> __pointer_traits;
881
882    __iter_pointer __ptr_;
883
884public:
885    typedef bidirectional_iterator_tag                           iterator_category;
886    typedef _Tp                                                  value_type;
887    typedef _DiffType                                            difference_type;
888    typedef const value_type&                                    reference;
889    typedef typename _NodeTypes::__const_node_value_type_pointer pointer;
890
891    _LIBCPP_INLINE_VISIBILITY __tree_const_iterator() _NOEXCEPT
892#if _LIBCPP_STD_VER > 11
893    : __ptr_(nullptr)
894#endif
895    {}
896
897private:
898    typedef __tree_iterator<value_type, __node_pointer, difference_type>
899                                                           __non_const_iterator;
900public:
901    _LIBCPP_INLINE_VISIBILITY
902    __tree_const_iterator(__non_const_iterator __p) _NOEXCEPT
903        : __ptr_(__p.__ptr_) {}
904
905    _LIBCPP_INLINE_VISIBILITY reference operator*() const
906        {return __get_np()->__value_;}
907    _LIBCPP_INLINE_VISIBILITY pointer operator->() const
908        {return pointer_traits<pointer>::pointer_to(__get_np()->__value_);}
909
910    _LIBCPP_INLINE_VISIBILITY
911    __tree_const_iterator& operator++() {
912      __ptr_ = static_cast<__iter_pointer>(
913          __tree_next_iter<__end_node_pointer>(static_cast<__node_base_pointer>(__ptr_)));
914      return *this;
915    }
916
917    _LIBCPP_INLINE_VISIBILITY
918    __tree_const_iterator operator++(int)
919        {__tree_const_iterator __t(*this); ++(*this); return __t;}
920
921    _LIBCPP_INLINE_VISIBILITY
922    __tree_const_iterator& operator--() {
923      __ptr_ = static_cast<__iter_pointer>(__tree_prev_iter<__node_base_pointer>(
924          static_cast<__end_node_pointer>(__ptr_)));
925      return *this;
926    }
927
928    _LIBCPP_INLINE_VISIBILITY
929    __tree_const_iterator operator--(int)
930        {__tree_const_iterator __t(*this); --(*this); return __t;}
931
932    friend _LIBCPP_INLINE_VISIBILITY
933        bool operator==(const __tree_const_iterator& __x, const __tree_const_iterator& __y)
934        {return __x.__ptr_ == __y.__ptr_;}
935    friend _LIBCPP_INLINE_VISIBILITY
936        bool operator!=(const __tree_const_iterator& __x, const __tree_const_iterator& __y)
937        {return !(__x == __y);}
938
939private:
940    _LIBCPP_INLINE_VISIBILITY
941    explicit __tree_const_iterator(__node_pointer __p) _NOEXCEPT
942        : __ptr_(__p) {}
943    _LIBCPP_INLINE_VISIBILITY
944    explicit __tree_const_iterator(__end_node_pointer __p) _NOEXCEPT
945        : __ptr_(__p) {}
946    _LIBCPP_INLINE_VISIBILITY
947    __node_pointer __get_np() const { return static_cast<__node_pointer>(__ptr_); }
948
949    template <class, class, class> friend class __tree;
950    template <class, class, class, class> friend class _LIBCPP_TYPE_VIS_ONLY map;
951    template <class, class, class, class> friend class _LIBCPP_TYPE_VIS_ONLY multimap;
952    template <class, class, class> friend class _LIBCPP_TYPE_VIS_ONLY set;
953    template <class, class, class> friend class _LIBCPP_TYPE_VIS_ONLY multiset;
954    template <class> friend class _LIBCPP_TYPE_VIS_ONLY __map_const_iterator;
955
956};
957
958template <class _Tp, class _Compare, class _Allocator>
959class __tree
960{
961public:
962    typedef _Tp                                      value_type;
963    typedef _Compare                                 value_compare;
964    typedef _Allocator                               allocator_type;
965
966private:
967    typedef allocator_traits<allocator_type>         __alloc_traits;
968    typedef typename __make_tree_node_types<value_type,
969        typename __alloc_traits::void_pointer>::type
970                                                    _NodeTypes;
971    typedef typename _NodeTypes::key_type           key_type;
972public:
973    typedef typename _NodeTypes::__node_value_type      __node_value_type;
974    typedef typename _NodeTypes::__container_value_type __container_value_type;
975
976    typedef typename __alloc_traits::pointer         pointer;
977    typedef typename __alloc_traits::const_pointer   const_pointer;
978    typedef typename __alloc_traits::size_type       size_type;
979    typedef typename __alloc_traits::difference_type difference_type;
980
981public:
982    typedef typename _NodeTypes::__void_pointer        __void_pointer;
983
984    typedef typename _NodeTypes::__node_type           __node;
985    typedef typename _NodeTypes::__node_pointer        __node_pointer;
986
987    typedef typename _NodeTypes::__node_base_type      __node_base;
988    typedef typename _NodeTypes::__node_base_pointer   __node_base_pointer;
989
990    typedef typename _NodeTypes::__end_node_type       __end_node_t;
991    typedef typename _NodeTypes::__end_node_pointer    __end_node_ptr;
992
993    typedef typename _NodeTypes::__parent_pointer      __parent_pointer;
994    typedef typename _NodeTypes::__iter_pointer        __iter_pointer;
995
996    typedef typename __rebind_alloc_helper<__alloc_traits, __node>::type __node_allocator;
997    typedef allocator_traits<__node_allocator>         __node_traits;
998
999private:
1000    // check for sane allocator pointer rebinding semantics. Rebinding the
1001    // allocator for a new pointer type should be exactly the same as rebinding
1002    // the pointer using 'pointer_traits'.
1003    static_assert((is_same<__node_pointer, typename __node_traits::pointer>::value),
1004                  "Allocator does not rebind pointers in a sane manner.");
1005    typedef typename __rebind_alloc_helper<__node_traits, __node_base>::type
1006        __node_base_allocator;
1007    typedef allocator_traits<__node_base_allocator> __node_base_traits;
1008    static_assert((is_same<__node_base_pointer, typename __node_base_traits::pointer>::value),
1009                 "Allocator does not rebind pointers in a sane manner.");
1010
1011private:
1012    __iter_pointer                                     __begin_node_;
1013    __compressed_pair<__end_node_t, __node_allocator>  __pair1_;
1014    __compressed_pair<size_type, value_compare>        __pair3_;
1015
1016public:
1017    _LIBCPP_INLINE_VISIBILITY
1018    __iter_pointer __end_node() _NOEXCEPT
1019    {
1020        return static_cast<__iter_pointer>(
1021                pointer_traits<__end_node_ptr>::pointer_to(__pair1_.first())
1022        );
1023    }
1024    _LIBCPP_INLINE_VISIBILITY
1025    __iter_pointer __end_node() const _NOEXCEPT
1026    {
1027        return static_cast<__iter_pointer>(
1028            pointer_traits<__end_node_ptr>::pointer_to(
1029                const_cast<__end_node_t&>(__pair1_.first())
1030            )
1031        );
1032    }
1033    _LIBCPP_INLINE_VISIBILITY
1034          __node_allocator& __node_alloc() _NOEXCEPT {return __pair1_.second();}
1035private:
1036    _LIBCPP_INLINE_VISIBILITY
1037    const __node_allocator& __node_alloc() const _NOEXCEPT
1038        {return __pair1_.second();}
1039    _LIBCPP_INLINE_VISIBILITY
1040          __iter_pointer& __begin_node() _NOEXCEPT {return __begin_node_;}
1041    _LIBCPP_INLINE_VISIBILITY
1042    const __iter_pointer& __begin_node() const _NOEXCEPT {return __begin_node_;}
1043public:
1044    _LIBCPP_INLINE_VISIBILITY
1045    allocator_type __alloc() const _NOEXCEPT
1046        {return allocator_type(__node_alloc());}
1047private:
1048    _LIBCPP_INLINE_VISIBILITY
1049          size_type& size() _NOEXCEPT {return __pair3_.first();}
1050public:
1051    _LIBCPP_INLINE_VISIBILITY
1052    const size_type& size() const _NOEXCEPT {return __pair3_.first();}
1053    _LIBCPP_INLINE_VISIBILITY
1054          value_compare& value_comp() _NOEXCEPT {return __pair3_.second();}
1055    _LIBCPP_INLINE_VISIBILITY
1056    const value_compare& value_comp() const _NOEXCEPT
1057        {return __pair3_.second();}
1058public:
1059
1060    _LIBCPP_INLINE_VISIBILITY
1061    __node_pointer __root() const _NOEXCEPT
1062        {return static_cast<__node_pointer>(__end_node()->__left_);}
1063
1064    __node_base_pointer* __root_ptr() const _NOEXCEPT {
1065        return _VSTD::addressof(__end_node()->__left_);
1066    }
1067
1068    typedef __tree_iterator<value_type, __node_pointer, difference_type>             iterator;
1069    typedef __tree_const_iterator<value_type, __node_pointer, difference_type> const_iterator;
1070
1071    explicit __tree(const value_compare& __comp)
1072        _NOEXCEPT_(
1073            is_nothrow_default_constructible<__node_allocator>::value &&
1074            is_nothrow_copy_constructible<value_compare>::value);
1075    explicit __tree(const allocator_type& __a);
1076    __tree(const value_compare& __comp, const allocator_type& __a);
1077    __tree(const __tree& __t);
1078    __tree& operator=(const __tree& __t);
1079    template <class _InputIterator>
1080        void __assign_unique(_InputIterator __first, _InputIterator __last);
1081    template <class _InputIterator>
1082        void __assign_multi(_InputIterator __first, _InputIterator __last);
1083#ifndef _LIBCPP_HAS_NO_RVALUE_REFERENCES
1084    __tree(__tree&& __t)
1085        _NOEXCEPT_(
1086            is_nothrow_move_constructible<__node_allocator>::value &&
1087            is_nothrow_move_constructible<value_compare>::value);
1088    __tree(__tree&& __t, const allocator_type& __a);
1089    __tree& operator=(__tree&& __t)
1090        _NOEXCEPT_(
1091            __node_traits::propagate_on_container_move_assignment::value &&
1092            is_nothrow_move_assignable<value_compare>::value &&
1093            is_nothrow_move_assignable<__node_allocator>::value);
1094#endif  // _LIBCPP_HAS_NO_RVALUE_REFERENCES
1095
1096    ~__tree();
1097
1098    _LIBCPP_INLINE_VISIBILITY
1099          iterator begin()  _NOEXCEPT {return       iterator(__begin_node());}
1100    _LIBCPP_INLINE_VISIBILITY
1101    const_iterator begin() const _NOEXCEPT {return const_iterator(__begin_node());}
1102    _LIBCPP_INLINE_VISIBILITY
1103          iterator end() _NOEXCEPT {return       iterator(__end_node());}
1104    _LIBCPP_INLINE_VISIBILITY
1105    const_iterator end() const _NOEXCEPT {return const_iterator(__end_node());}
1106
1107    _LIBCPP_INLINE_VISIBILITY
1108    size_type max_size() const _NOEXCEPT
1109        {return std::min<size_type>(
1110                __node_traits::max_size(__node_alloc()),
1111                numeric_limits<difference_type >::max());}
1112
1113    void clear() _NOEXCEPT;
1114
1115    void swap(__tree& __t)
1116#if _LIBCPP_STD_VER <= 11
1117        _NOEXCEPT_(
1118            __is_nothrow_swappable<value_compare>::value
1119            && (!__node_traits::propagate_on_container_swap::value ||
1120                 __is_nothrow_swappable<__node_allocator>::value)
1121            );
1122#else
1123        _NOEXCEPT_(__is_nothrow_swappable<value_compare>::value);
1124#endif
1125
1126#ifndef _LIBCPP_CXX03_LANG
1127    template <class _Key, class ..._Args>
1128    pair<iterator, bool>
1129    __emplace_unique_key_args(_Key const&, _Args&&... __args);
1130    template <class _Key, class ..._Args>
1131    iterator
1132    __emplace_hint_unique_key_args(const_iterator, _Key const&, _Args&&...);
1133
1134    template <class... _Args>
1135    pair<iterator, bool> __emplace_unique_impl(_Args&&... __args);
1136
1137    template <class... _Args>
1138    iterator __emplace_hint_unique_impl(const_iterator __p, _Args&&... __args);
1139
1140    template <class... _Args>
1141    iterator __emplace_multi(_Args&&... __args);
1142
1143    template <class... _Args>
1144    iterator __emplace_hint_multi(const_iterator __p, _Args&&... __args);
1145
1146    template <class _Pp>
1147    _LIBCPP_INLINE_VISIBILITY
1148    pair<iterator, bool> __emplace_unique(_Pp&& __x) {
1149        return __emplace_unique_extract_key(_VSTD::forward<_Pp>(__x),
1150                                            __can_extract_key<_Pp, key_type>());
1151    }
1152
1153    template <class _First, class _Second>
1154    _LIBCPP_INLINE_VISIBILITY
1155    typename enable_if<
1156        __can_extract_map_key<_First, key_type, __container_value_type>::value,
1157        pair<iterator, bool>
1158    >::type __emplace_unique(_First&& __f, _Second&& __s) {
1159        return __emplace_unique_key_args(__f, _VSTD::forward<_First>(__f),
1160                                              _VSTD::forward<_Second>(__s));
1161    }
1162
1163    template <class... _Args>
1164    _LIBCPP_INLINE_VISIBILITY
1165    pair<iterator, bool> __emplace_unique(_Args&&... __args) {
1166        return __emplace_unique_impl(_VSTD::forward<_Args>(__args)...);
1167    }
1168
1169    template <class _Pp>
1170    _LIBCPP_INLINE_VISIBILITY
1171    pair<iterator, bool>
1172    __emplace_unique_extract_key(_Pp&& __x, __extract_key_fail_tag) {
1173      return __emplace_unique_impl(_VSTD::forward<_Pp>(__x));
1174    }
1175
1176    template <class _Pp>
1177    _LIBCPP_INLINE_VISIBILITY
1178    pair<iterator, bool>
1179    __emplace_unique_extract_key(_Pp&& __x, __extract_key_self_tag) {
1180      return __emplace_unique_key_args(__x, _VSTD::forward<_Pp>(__x));
1181    }
1182
1183    template <class _Pp>
1184    _LIBCPP_INLINE_VISIBILITY
1185    pair<iterator, bool>
1186    __emplace_unique_extract_key(_Pp&& __x, __extract_key_first_tag) {
1187      return __emplace_unique_key_args(__x.first, _VSTD::forward<_Pp>(__x));
1188    }
1189
1190    template <class _Pp>
1191    _LIBCPP_INLINE_VISIBILITY
1192    iterator __emplace_hint_unique(const_iterator __p, _Pp&& __x) {
1193        return __emplace_hint_unique_extract_key(__p, _VSTD::forward<_Pp>(__x),
1194                                            __can_extract_key<_Pp, key_type>());
1195    }
1196
1197    template <class _First, class _Second>
1198    _LIBCPP_INLINE_VISIBILITY
1199    typename enable_if<
1200        __can_extract_map_key<_First, key_type, __container_value_type>::value,
1201        iterator
1202    >::type __emplace_hint_unique(const_iterator __p, _First&& __f, _Second&& __s) {
1203        return __emplace_hint_unique_key_args(__p, __f,
1204                                              _VSTD::forward<_First>(__f),
1205                                              _VSTD::forward<_Second>(__s));
1206    }
1207
1208    template <class... _Args>
1209    _LIBCPP_INLINE_VISIBILITY
1210    iterator __emplace_hint_unique(const_iterator __p, _Args&&... __args) {
1211        return __emplace_hint_unique_impl(__p, _VSTD::forward<_Args>(__args)...);
1212    }
1213
1214    template <class _Pp>
1215    _LIBCPP_INLINE_VISIBILITY
1216    iterator
1217    __emplace_hint_unique_extract_key(const_iterator __p, _Pp&& __x, __extract_key_fail_tag) {
1218      return __emplace_hint_unique_impl(__p, _VSTD::forward<_Pp>(__x));
1219    }
1220
1221    template <class _Pp>
1222    _LIBCPP_INLINE_VISIBILITY
1223    iterator
1224    __emplace_hint_unique_extract_key(const_iterator __p, _Pp&& __x, __extract_key_self_tag) {
1225      return __emplace_hint_unique_key_args(__p, __x, _VSTD::forward<_Pp>(__x));
1226    }
1227
1228    template <class _Pp>
1229    _LIBCPP_INLINE_VISIBILITY
1230    iterator
1231    __emplace_hint_unique_extract_key(const_iterator __p, _Pp&& __x, __extract_key_first_tag) {
1232      return __emplace_hint_unique_key_args(__p, __x.first, _VSTD::forward<_Pp>(__x));
1233    }
1234
1235#else
1236    template <class _Key, class _Args>
1237    _LIBCPP_INLINE_VISIBILITY
1238    pair<iterator, bool> __emplace_unique_key_args(_Key const&, _Args& __args);
1239    template <class _Key, class _Args>
1240    _LIBCPP_INLINE_VISIBILITY
1241    iterator __emplace_hint_unique_key_args(const_iterator, _Key const&, _Args&);
1242#endif
1243
1244    _LIBCPP_INLINE_VISIBILITY
1245    pair<iterator, bool> __insert_unique(const __container_value_type& __v) {
1246        return __emplace_unique_key_args(_NodeTypes::__get_key(__v), __v);
1247    }
1248
1249    _LIBCPP_INLINE_VISIBILITY
1250    iterator __insert_unique(const_iterator __p, const __container_value_type& __v) {
1251        return __emplace_hint_unique_key_args(__p, _NodeTypes::__get_key(__v), __v);
1252    }
1253
1254#ifdef _LIBCPP_CXX03_LANG
1255    _LIBCPP_INLINE_VISIBILITY
1256    iterator __insert_multi(const __container_value_type& __v);
1257    _LIBCPP_INLINE_VISIBILITY
1258    iterator __insert_multi(const_iterator __p, const __container_value_type& __v);
1259#else
1260    _LIBCPP_INLINE_VISIBILITY
1261    pair<iterator, bool> __insert_unique(__container_value_type&& __v) {
1262        return __emplace_unique_key_args(_NodeTypes::__get_key(__v), _VSTD::move(__v));
1263    }
1264
1265    _LIBCPP_INLINE_VISIBILITY
1266    iterator __insert_unique(const_iterator __p, __container_value_type&& __v) {
1267        return __emplace_hint_unique_key_args(__p, _NodeTypes::__get_key(__v), _VSTD::move(__v));
1268    }
1269
1270    template <class _Vp, class = typename enable_if<
1271            !is_same<typename __unconstref<_Vp>::type,
1272                     __container_value_type
1273            >::value
1274        >::type>
1275    _LIBCPP_INLINE_VISIBILITY
1276    pair<iterator, bool> __insert_unique(_Vp&& __v) {
1277        return __emplace_unique(_VSTD::forward<_Vp>(__v));
1278    }
1279
1280    template <class _Vp, class = typename enable_if<
1281            !is_same<typename __unconstref<_Vp>::type,
1282                     __container_value_type
1283            >::value
1284        >::type>
1285    _LIBCPP_INLINE_VISIBILITY
1286    iterator __insert_unique(const_iterator __p, _Vp&& __v) {
1287        return __emplace_hint_unique(__p, _VSTD::forward<_Vp>(__v));
1288    }
1289
1290    _LIBCPP_INLINE_VISIBILITY
1291    iterator __insert_multi(__container_value_type&& __v) {
1292        return __emplace_multi(_VSTD::move(__v));
1293    }
1294
1295    _LIBCPP_INLINE_VISIBILITY
1296    iterator __insert_multi(const_iterator __p, __container_value_type&& __v) {
1297        return __emplace_hint_multi(__p, _VSTD::move(__v));
1298    }
1299
1300    template <class _Vp>
1301    _LIBCPP_INLINE_VISIBILITY
1302    iterator __insert_multi(_Vp&& __v) {
1303        return __emplace_multi(_VSTD::forward<_Vp>(__v));
1304    }
1305
1306    template <class _Vp>
1307    _LIBCPP_INLINE_VISIBILITY
1308    iterator __insert_multi(const_iterator __p, _Vp&& __v) {
1309        return __emplace_hint_multi(__p, _VSTD::forward<_Vp>(__v));
1310    }
1311
1312#endif // !_LIBCPP_CXX03_LANG
1313
1314    pair<iterator, bool> __node_insert_unique(__node_pointer __nd);
1315    iterator             __node_insert_unique(const_iterator __p,
1316                                              __node_pointer __nd);
1317
1318    iterator __node_insert_multi(__node_pointer __nd);
1319    iterator __node_insert_multi(const_iterator __p, __node_pointer __nd);
1320
1321    iterator erase(const_iterator __p);
1322    iterator erase(const_iterator __f, const_iterator __l);
1323    template <class _Key>
1324        size_type __erase_unique(const _Key& __k);
1325    template <class _Key>
1326        size_type __erase_multi(const _Key& __k);
1327
1328    void __insert_node_at(__parent_pointer     __parent,
1329                          __node_base_pointer& __child,
1330                          __node_base_pointer __new_node);
1331
1332    template <class _Key>
1333        iterator find(const _Key& __v);
1334    template <class _Key>
1335        const_iterator find(const _Key& __v) const;
1336
1337    template <class _Key>
1338        size_type __count_unique(const _Key& __k) const;
1339    template <class _Key>
1340        size_type __count_multi(const _Key& __k) const;
1341
1342    template <class _Key>
1343        _LIBCPP_INLINE_VISIBILITY
1344        iterator lower_bound(const _Key& __v)
1345            {return __lower_bound(__v, __root(), __end_node());}
1346    template <class _Key>
1347        iterator __lower_bound(const _Key& __v,
1348                               __node_pointer __root,
1349                               __iter_pointer __result);
1350    template <class _Key>
1351        _LIBCPP_INLINE_VISIBILITY
1352        const_iterator lower_bound(const _Key& __v) const
1353            {return __lower_bound(__v, __root(), __end_node());}
1354    template <class _Key>
1355        const_iterator __lower_bound(const _Key& __v,
1356                                     __node_pointer __root,
1357                                     __iter_pointer __result) const;
1358    template <class _Key>
1359        _LIBCPP_INLINE_VISIBILITY
1360        iterator upper_bound(const _Key& __v)
1361            {return __upper_bound(__v, __root(), __end_node());}
1362    template <class _Key>
1363        iterator __upper_bound(const _Key& __v,
1364                               __node_pointer __root,
1365                               __iter_pointer __result);
1366    template <class _Key>
1367        _LIBCPP_INLINE_VISIBILITY
1368        const_iterator upper_bound(const _Key& __v) const
1369            {return __upper_bound(__v, __root(), __end_node());}
1370    template <class _Key>
1371        const_iterator __upper_bound(const _Key& __v,
1372                                     __node_pointer __root,
1373                                     __iter_pointer __result) const;
1374    template <class _Key>
1375        pair<iterator, iterator>
1376        __equal_range_unique(const _Key& __k);
1377    template <class _Key>
1378        pair<const_iterator, const_iterator>
1379        __equal_range_unique(const _Key& __k) const;
1380
1381    template <class _Key>
1382        pair<iterator, iterator>
1383        __equal_range_multi(const _Key& __k);
1384    template <class _Key>
1385        pair<const_iterator, const_iterator>
1386        __equal_range_multi(const _Key& __k) const;
1387
1388    typedef __tree_node_destructor<__node_allocator> _Dp;
1389    typedef unique_ptr<__node, _Dp> __node_holder;
1390
1391    __node_holder remove(const_iterator __p) _NOEXCEPT;
1392private:
1393    __node_base_pointer&
1394        __find_leaf_low(__parent_pointer& __parent, const key_type& __v);
1395    __node_base_pointer&
1396        __find_leaf_high(__parent_pointer& __parent, const key_type& __v);
1397    __node_base_pointer&
1398        __find_leaf(const_iterator __hint,
1399                    __parent_pointer& __parent, const key_type& __v);
1400    template <class _Key>
1401    __node_base_pointer&
1402        __find_equal(__parent_pointer& __parent, const _Key& __v);
1403    template <class _Key>
1404    __node_base_pointer&
1405        __find_equal(const_iterator __hint, __parent_pointer& __parent,
1406                     __node_base_pointer& __dummy,
1407                     const _Key& __v);
1408
1409#ifndef _LIBCPP_CXX03_LANG
1410    template <class ..._Args>
1411    __node_holder __construct_node(_Args&& ...__args);
1412#else
1413    __node_holder __construct_node(const __container_value_type& __v);
1414#endif
1415
1416    void destroy(__node_pointer __nd) _NOEXCEPT;
1417
1418    _LIBCPP_INLINE_VISIBILITY
1419    void __copy_assign_alloc(const __tree& __t)
1420        {__copy_assign_alloc(__t, integral_constant<bool,
1421             __node_traits::propagate_on_container_copy_assignment::value>());}
1422
1423    _LIBCPP_INLINE_VISIBILITY
1424    void __copy_assign_alloc(const __tree& __t, true_type)
1425        {
1426        if (__node_alloc() != __t.__node_alloc())
1427        	clear();
1428        __node_alloc() = __t.__node_alloc();
1429        }
1430    _LIBCPP_INLINE_VISIBILITY
1431    void __copy_assign_alloc(const __tree& __t, false_type) {}
1432
1433    void __move_assign(__tree& __t, false_type);
1434    void __move_assign(__tree& __t, true_type)
1435        _NOEXCEPT_(is_nothrow_move_assignable<value_compare>::value &&
1436                   is_nothrow_move_assignable<__node_allocator>::value);
1437
1438    _LIBCPP_INLINE_VISIBILITY
1439    void __move_assign_alloc(__tree& __t)
1440        _NOEXCEPT_(
1441            !__node_traits::propagate_on_container_move_assignment::value ||
1442            is_nothrow_move_assignable<__node_allocator>::value)
1443        {__move_assign_alloc(__t, integral_constant<bool,
1444             __node_traits::propagate_on_container_move_assignment::value>());}
1445
1446    _LIBCPP_INLINE_VISIBILITY
1447    void __move_assign_alloc(__tree& __t, true_type)
1448        _NOEXCEPT_(is_nothrow_move_assignable<__node_allocator>::value)
1449        {__node_alloc() = _VSTD::move(__t.__node_alloc());}
1450    _LIBCPP_INLINE_VISIBILITY
1451    void __move_assign_alloc(__tree& __t, false_type) _NOEXCEPT {}
1452
1453    __node_pointer __detach();
1454    static __node_pointer __detach(__node_pointer);
1455
1456    template <class, class, class, class> friend class _LIBCPP_TYPE_VIS_ONLY map;
1457    template <class, class, class, class> friend class _LIBCPP_TYPE_VIS_ONLY multimap;
1458};
1459
1460template <class _Tp, class _Compare, class _Allocator>
1461__tree<_Tp, _Compare, _Allocator>::__tree(const value_compare& __comp)
1462        _NOEXCEPT_(
1463            is_nothrow_default_constructible<__node_allocator>::value &&
1464            is_nothrow_copy_constructible<value_compare>::value)
1465    : __pair3_(0, __comp)
1466{
1467    __begin_node() = __end_node();
1468}
1469
1470template <class _Tp, class _Compare, class _Allocator>
1471__tree<_Tp, _Compare, _Allocator>::__tree(const allocator_type& __a)
1472    : __begin_node_(__iter_pointer()),
1473      __pair1_(__node_allocator(__a)),
1474      __pair3_(0)
1475{
1476    __begin_node() = __end_node();
1477}
1478
1479template <class _Tp, class _Compare, class _Allocator>
1480__tree<_Tp, _Compare, _Allocator>::__tree(const value_compare& __comp,
1481                                           const allocator_type& __a)
1482    : __begin_node_(__iter_pointer()),
1483      __pair1_(__node_allocator(__a)),
1484      __pair3_(0, __comp)
1485{
1486    __begin_node() = __end_node();
1487}
1488
1489// Precondition:  size() != 0
1490template <class _Tp, class _Compare, class _Allocator>
1491typename __tree<_Tp, _Compare, _Allocator>::__node_pointer
1492__tree<_Tp, _Compare, _Allocator>::__detach()
1493{
1494    __node_pointer __cache = static_cast<__node_pointer>(__begin_node());
1495    __begin_node() = __end_node();
1496    __end_node()->__left_->__parent_ = nullptr;
1497    __end_node()->__left_ = nullptr;
1498    size() = 0;
1499    // __cache->__left_ == nullptr
1500    if (__cache->__right_ != nullptr)
1501        __cache = static_cast<__node_pointer>(__cache->__right_);
1502    // __cache->__left_ == nullptr
1503    // __cache->__right_ == nullptr
1504    return __cache;
1505}
1506
1507// Precondition:  __cache != nullptr
1508//    __cache->left_ == nullptr
1509//    __cache->right_ == nullptr
1510//    This is no longer a red-black tree
1511template <class _Tp, class _Compare, class _Allocator>
1512typename __tree<_Tp, _Compare, _Allocator>::__node_pointer
1513__tree<_Tp, _Compare, _Allocator>::__detach(__node_pointer __cache)
1514{
1515    if (__cache->__parent_ == nullptr)
1516        return nullptr;
1517    if (__tree_is_left_child(static_cast<__node_base_pointer>(__cache)))
1518    {
1519        __cache->__parent_->__left_ = nullptr;
1520        __cache = static_cast<__node_pointer>(__cache->__parent_);
1521        if (__cache->__right_ == nullptr)
1522            return __cache;
1523        return static_cast<__node_pointer>(__tree_leaf(__cache->__right_));
1524    }
1525    // __cache is right child
1526    __cache->__parent_unsafe()->__right_ = nullptr;
1527    __cache = static_cast<__node_pointer>(__cache->__parent_);
1528    if (__cache->__left_ == nullptr)
1529        return __cache;
1530    return static_cast<__node_pointer>(__tree_leaf(__cache->__left_));
1531}
1532
1533template <class _Tp, class _Compare, class _Allocator>
1534__tree<_Tp, _Compare, _Allocator>&
1535__tree<_Tp, _Compare, _Allocator>::operator=(const __tree& __t)
1536{
1537    if (this != &__t)
1538    {
1539        value_comp() = __t.value_comp();
1540        __copy_assign_alloc(__t);
1541        __assign_multi(__t.begin(), __t.end());
1542    }
1543    return *this;
1544}
1545
1546template <class _Tp, class _Compare, class _Allocator>
1547template <class _InputIterator>
1548void
1549__tree<_Tp, _Compare, _Allocator>::__assign_unique(_InputIterator __first, _InputIterator __last)
1550{
1551    typedef iterator_traits<_InputIterator> _ITraits;
1552    typedef typename _ITraits::value_type _ItValueType;
1553    static_assert((is_same<_ItValueType, __container_value_type>::value),
1554                  "__assign_unique may only be called with the containers value type");
1555
1556    if (size() != 0)
1557    {
1558        __node_pointer __cache = __detach();
1559#ifndef _LIBCPP_NO_EXCEPTIONS
1560        try
1561        {
1562#endif  // _LIBCPP_NO_EXCEPTIONS
1563            for (; __cache != nullptr && __first != __last; ++__first)
1564            {
1565                __cache->__value_ = *__first;
1566                __node_pointer __next = __detach(__cache);
1567                __node_insert_unique(__cache);
1568                __cache = __next;
1569            }
1570#ifndef _LIBCPP_NO_EXCEPTIONS
1571        }
1572        catch (...)
1573        {
1574            while (__cache->__parent_ != nullptr)
1575                __cache = static_cast<__node_pointer>(__cache->__parent_);
1576            destroy(__cache);
1577            throw;
1578        }
1579#endif  // _LIBCPP_NO_EXCEPTIONS
1580        if (__cache != nullptr)
1581        {
1582            while (__cache->__parent_ != nullptr)
1583                __cache = static_cast<__node_pointer>(__cache->__parent_);
1584            destroy(__cache);
1585        }
1586    }
1587    for (; __first != __last; ++__first)
1588        __insert_unique(*__first);
1589}
1590
1591template <class _Tp, class _Compare, class _Allocator>
1592template <class _InputIterator>
1593void
1594__tree<_Tp, _Compare, _Allocator>::__assign_multi(_InputIterator __first, _InputIterator __last)
1595{
1596    typedef iterator_traits<_InputIterator> _ITraits;
1597    typedef typename _ITraits::value_type _ItValueType;
1598    static_assert((is_same<_ItValueType, __container_value_type>::value ||
1599                  is_same<_ItValueType, __node_value_type>::value),
1600                  "__assign_multi may only be called with the containers value type"
1601                  " or the nodes value type");
1602    if (size() != 0)
1603    {
1604        __node_pointer __cache = __detach();
1605#ifndef _LIBCPP_NO_EXCEPTIONS
1606        try
1607        {
1608#endif  // _LIBCPP_NO_EXCEPTIONS
1609            for (; __cache != nullptr && __first != __last; ++__first)
1610            {
1611                __cache->__value_ = *__first;
1612                __node_pointer __next = __detach(__cache);
1613                __node_insert_multi(__cache);
1614                __cache = __next;
1615            }
1616#ifndef _LIBCPP_NO_EXCEPTIONS
1617        }
1618        catch (...)
1619        {
1620            while (__cache->__parent_ != nullptr)
1621                __cache = static_cast<__node_pointer>(__cache->__parent_);
1622            destroy(__cache);
1623            throw;
1624        }
1625#endif  // _LIBCPP_NO_EXCEPTIONS
1626        if (__cache != nullptr)
1627        {
1628            while (__cache->__parent_ != nullptr)
1629                __cache = static_cast<__node_pointer>(__cache->__parent_);
1630            destroy(__cache);
1631        }
1632    }
1633    for (; __first != __last; ++__first)
1634        __insert_multi(_NodeTypes::__get_value(*__first));
1635}
1636
1637template <class _Tp, class _Compare, class _Allocator>
1638__tree<_Tp, _Compare, _Allocator>::__tree(const __tree& __t)
1639    : __begin_node_(__iter_pointer()),
1640      __pair1_(__node_traits::select_on_container_copy_construction(__t.__node_alloc())),
1641      __pair3_(0, __t.value_comp())
1642{
1643    __begin_node() = __end_node();
1644}
1645
1646#ifndef _LIBCPP_HAS_NO_RVALUE_REFERENCES
1647
1648template <class _Tp, class _Compare, class _Allocator>
1649__tree<_Tp, _Compare, _Allocator>::__tree(__tree&& __t)
1650    _NOEXCEPT_(
1651        is_nothrow_move_constructible<__node_allocator>::value &&
1652        is_nothrow_move_constructible<value_compare>::value)
1653    : __begin_node_(_VSTD::move(__t.__begin_node_)),
1654      __pair1_(_VSTD::move(__t.__pair1_)),
1655      __pair3_(_VSTD::move(__t.__pair3_))
1656{
1657    if (size() == 0)
1658        __begin_node() = __end_node();
1659    else
1660    {
1661        __end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__end_node());
1662        __t.__begin_node() = __t.__end_node();
1663        __t.__end_node()->__left_ = nullptr;
1664        __t.size() = 0;
1665    }
1666}
1667
1668template <class _Tp, class _Compare, class _Allocator>
1669__tree<_Tp, _Compare, _Allocator>::__tree(__tree&& __t, const allocator_type& __a)
1670    : __pair1_(__node_allocator(__a)),
1671      __pair3_(0, _VSTD::move(__t.value_comp()))
1672{
1673    if (__a == __t.__alloc())
1674    {
1675        if (__t.size() == 0)
1676            __begin_node() = __end_node();
1677        else
1678        {
1679            __begin_node() = __t.__begin_node();
1680            __end_node()->__left_ = __t.__end_node()->__left_;
1681            __end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__end_node());
1682            size() = __t.size();
1683            __t.__begin_node() = __t.__end_node();
1684            __t.__end_node()->__left_ = nullptr;
1685            __t.size() = 0;
1686        }
1687    }
1688    else
1689    {
1690        __begin_node() = __end_node();
1691    }
1692}
1693
1694template <class _Tp, class _Compare, class _Allocator>
1695void
1696__tree<_Tp, _Compare, _Allocator>::__move_assign(__tree& __t, true_type)
1697    _NOEXCEPT_(is_nothrow_move_assignable<value_compare>::value &&
1698               is_nothrow_move_assignable<__node_allocator>::value)
1699{
1700    destroy(static_cast<__node_pointer>(__end_node()->__left_));
1701    __begin_node_ = __t.__begin_node_;
1702    __pair1_.first() = __t.__pair1_.first();
1703    __move_assign_alloc(__t);
1704    __pair3_ = _VSTD::move(__t.__pair3_);
1705    if (size() == 0)
1706        __begin_node() = __end_node();
1707    else
1708    {
1709        __end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__end_node());
1710        __t.__begin_node() = __t.__end_node();
1711        __t.__end_node()->__left_ = nullptr;
1712        __t.size() = 0;
1713    }
1714}
1715
1716template <class _Tp, class _Compare, class _Allocator>
1717void
1718__tree<_Tp, _Compare, _Allocator>::__move_assign(__tree& __t, false_type)
1719{
1720    if (__node_alloc() == __t.__node_alloc())
1721        __move_assign(__t, true_type());
1722    else
1723    {
1724        value_comp() = _VSTD::move(__t.value_comp());
1725        const_iterator __e = end();
1726        if (size() != 0)
1727        {
1728            __node_pointer __cache = __detach();
1729#ifndef _LIBCPP_NO_EXCEPTIONS
1730            try
1731            {
1732#endif  // _LIBCPP_NO_EXCEPTIONS
1733                while (__cache != nullptr && __t.size() != 0)
1734                {
1735                    __cache->__value_ = _VSTD::move(__t.remove(__t.begin())->__value_);
1736                    __node_pointer __next = __detach(__cache);
1737                    __node_insert_multi(__cache);
1738                    __cache = __next;
1739                }
1740#ifndef _LIBCPP_NO_EXCEPTIONS
1741            }
1742            catch (...)
1743            {
1744                while (__cache->__parent_ != nullptr)
1745                    __cache = static_cast<__node_pointer>(__cache->__parent_);
1746                destroy(__cache);
1747                throw;
1748            }
1749#endif  // _LIBCPP_NO_EXCEPTIONS
1750            if (__cache != nullptr)
1751            {
1752                while (__cache->__parent_ != nullptr)
1753                    __cache = static_cast<__node_pointer>(__cache->__parent_);
1754                destroy(__cache);
1755            }
1756        }
1757        while (__t.size() != 0)
1758            __insert_multi(__e, _NodeTypes::__move(__t.remove(__t.begin())->__value_));
1759    }
1760}
1761
1762template <class _Tp, class _Compare, class _Allocator>
1763__tree<_Tp, _Compare, _Allocator>&
1764__tree<_Tp, _Compare, _Allocator>::operator=(__tree&& __t)
1765    _NOEXCEPT_(
1766        __node_traits::propagate_on_container_move_assignment::value &&
1767        is_nothrow_move_assignable<value_compare>::value &&
1768        is_nothrow_move_assignable<__node_allocator>::value)
1769
1770{
1771    __move_assign(__t, integral_constant<bool,
1772                  __node_traits::propagate_on_container_move_assignment::value>());
1773    return *this;
1774}
1775
1776#endif  // _LIBCPP_HAS_NO_RVALUE_REFERENCES
1777
1778template <class _Tp, class _Compare, class _Allocator>
1779__tree<_Tp, _Compare, _Allocator>::~__tree()
1780{
1781    static_assert((is_copy_constructible<value_compare>::value),
1782                 "Comparator must be copy-constructible.");
1783    destroy(__root());
1784}
1785
1786template <class _Tp, class _Compare, class _Allocator>
1787void
1788__tree<_Tp, _Compare, _Allocator>::destroy(__node_pointer __nd) _NOEXCEPT
1789{
1790    if (__nd != nullptr)
1791    {
1792        destroy(static_cast<__node_pointer>(__nd->__left_));
1793        destroy(static_cast<__node_pointer>(__nd->__right_));
1794        __node_allocator& __na = __node_alloc();
1795        __node_traits::destroy(__na, _NodeTypes::__get_ptr(__nd->__value_));
1796        __node_traits::deallocate(__na, __nd, 1);
1797    }
1798}
1799
1800template <class _Tp, class _Compare, class _Allocator>
1801void
1802__tree<_Tp, _Compare, _Allocator>::swap(__tree& __t)
1803#if _LIBCPP_STD_VER <= 11
1804        _NOEXCEPT_(
1805            __is_nothrow_swappable<value_compare>::value
1806            && (!__node_traits::propagate_on_container_swap::value ||
1807                 __is_nothrow_swappable<__node_allocator>::value)
1808            )
1809#else
1810        _NOEXCEPT_(__is_nothrow_swappable<value_compare>::value)
1811#endif
1812{
1813    using _VSTD::swap;
1814    swap(__begin_node_, __t.__begin_node_);
1815    swap(__pair1_.first(), __t.__pair1_.first());
1816    __swap_allocator(__node_alloc(), __t.__node_alloc());
1817    __pair3_.swap(__t.__pair3_);
1818    if (size() == 0)
1819        __begin_node() = __end_node();
1820    else
1821        __end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__end_node());
1822    if (__t.size() == 0)
1823        __t.__begin_node() = __t.__end_node();
1824    else
1825        __t.__end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__t.__end_node());
1826}
1827
1828template <class _Tp, class _Compare, class _Allocator>
1829void
1830__tree<_Tp, _Compare, _Allocator>::clear() _NOEXCEPT
1831{
1832    destroy(__root());
1833    size() = 0;
1834    __begin_node() = __end_node();
1835    __end_node()->__left_ = nullptr;
1836}
1837
1838// Find lower_bound place to insert
1839// Set __parent to parent of null leaf
1840// Return reference to null leaf
1841template <class _Tp, class _Compare, class _Allocator>
1842typename __tree<_Tp, _Compare, _Allocator>::__node_base_pointer&
1843__tree<_Tp, _Compare, _Allocator>::__find_leaf_low(__parent_pointer& __parent,
1844                                                   const key_type& __v)
1845{
1846    __node_pointer __nd = __root();
1847    if (__nd != nullptr)
1848    {
1849        while (true)
1850        {
1851            if (value_comp()(__nd->__value_, __v))
1852            {
1853                if (__nd->__right_ != nullptr)
1854                    __nd = static_cast<__node_pointer>(__nd->__right_);
1855                else
1856                {
1857                    __parent = static_cast<__parent_pointer>(__nd);
1858                    return __nd->__right_;
1859                }
1860            }
1861            else
1862            {
1863                if (__nd->__left_ != nullptr)
1864                    __nd = static_cast<__node_pointer>(__nd->__left_);
1865                else
1866                {
1867                    __parent = static_cast<__parent_pointer>(__nd);
1868                    return __parent->__left_;
1869                }
1870            }
1871        }
1872    }
1873    __parent = static_cast<__parent_pointer>(__end_node());
1874    return __parent->__left_;
1875}
1876
1877// Find upper_bound place to insert
1878// Set __parent to parent of null leaf
1879// Return reference to null leaf
1880template <class _Tp, class _Compare, class _Allocator>
1881typename __tree<_Tp, _Compare, _Allocator>::__node_base_pointer&
1882__tree<_Tp, _Compare, _Allocator>::__find_leaf_high(__parent_pointer& __parent,
1883                                                    const key_type& __v)
1884{
1885    __node_pointer __nd = __root();
1886    if (__nd != nullptr)
1887    {
1888        while (true)
1889        {
1890            if (value_comp()(__v, __nd->__value_))
1891            {
1892                if (__nd->__left_ != nullptr)
1893                    __nd = static_cast<__node_pointer>(__nd->__left_);
1894                else
1895                {
1896                    __parent = static_cast<__parent_pointer>(__nd);
1897                    return __parent->__left_;
1898                }
1899            }
1900            else
1901            {
1902                if (__nd->__right_ != nullptr)
1903                    __nd = static_cast<__node_pointer>(__nd->__right_);
1904                else
1905                {
1906                    __parent = static_cast<__parent_pointer>(__nd);
1907                    return __nd->__right_;
1908                }
1909            }
1910        }
1911    }
1912    __parent = static_cast<__parent_pointer>(__end_node());
1913    return __parent->__left_;
1914}
1915
1916// Find leaf place to insert closest to __hint
1917// First check prior to __hint.
1918// Next check after __hint.
1919// Next do O(log N) search.
1920// Set __parent to parent of null leaf
1921// Return reference to null leaf
1922template <class _Tp, class _Compare, class _Allocator>
1923typename __tree<_Tp, _Compare, _Allocator>::__node_base_pointer&
1924__tree<_Tp, _Compare, _Allocator>::__find_leaf(const_iterator __hint,
1925                                               __parent_pointer& __parent,
1926                                               const key_type& __v)
1927{
1928    if (__hint == end() || !value_comp()(*__hint, __v))  // check before
1929    {
1930        // __v <= *__hint
1931        const_iterator __prior = __hint;
1932        if (__prior == begin() || !value_comp()(__v, *--__prior))
1933        {
1934            // *prev(__hint) <= __v <= *__hint
1935            if (__hint.__ptr_->__left_ == nullptr)
1936            {
1937                __parent = static_cast<__parent_pointer>(__hint.__ptr_);
1938                return __parent->__left_;
1939            }
1940            else
1941            {
1942                __parent = static_cast<__parent_pointer>(__prior.__ptr_);
1943                return static_cast<__node_base_pointer>(__prior.__ptr_)->__right_;
1944            }
1945        }
1946        // __v < *prev(__hint)
1947        return __find_leaf_high(__parent, __v);
1948    }
1949    // else __v > *__hint
1950    return __find_leaf_low(__parent, __v);
1951}
1952
1953// Find place to insert if __v doesn't exist
1954// Set __parent to parent of null leaf
1955// Return reference to null leaf
1956// If __v exists, set parent to node of __v and return reference to node of __v
1957template <class _Tp, class _Compare, class _Allocator>
1958template <class _Key>
1959typename __tree<_Tp, _Compare, _Allocator>::__node_base_pointer&
1960__tree<_Tp, _Compare, _Allocator>::__find_equal(__parent_pointer& __parent,
1961                                                const _Key& __v)
1962{
1963    __node_pointer __nd = __root();
1964    __node_base_pointer* __nd_ptr = __root_ptr();
1965    if (__nd != nullptr)
1966    {
1967        while (true)
1968        {
1969            if (value_comp()(__v, __nd->__value_))
1970            {
1971                if (__nd->__left_ != nullptr) {
1972                    __nd_ptr = _VSTD::addressof(__nd->__left_);
1973                    __nd = static_cast<__node_pointer>(__nd->__left_);
1974                } else {
1975                    __parent = static_cast<__parent_pointer>(__nd);
1976                    return __parent->__left_;
1977                }
1978            }
1979            else if (value_comp()(__nd->__value_, __v))
1980            {
1981                if (__nd->__right_ != nullptr) {
1982                    __nd_ptr = _VSTD::addressof(__nd->__right_);
1983                    __nd = static_cast<__node_pointer>(__nd->__right_);
1984                } else {
1985                    __parent = static_cast<__parent_pointer>(__nd);
1986                    return __nd->__right_;
1987                }
1988            }
1989            else
1990            {
1991                __parent = static_cast<__parent_pointer>(__nd);
1992                return *__nd_ptr;
1993            }
1994        }
1995    }
1996    __parent = static_cast<__parent_pointer>(__end_node());
1997    return __parent->__left_;
1998}
1999
2000// Find place to insert if __v doesn't exist
2001// First check prior to __hint.
2002// Next check after __hint.
2003// Next do O(log N) search.
2004// Set __parent to parent of null leaf
2005// Return reference to null leaf
2006// If __v exists, set parent to node of __v and return reference to node of __v
2007template <class _Tp, class _Compare, class _Allocator>
2008template <class _Key>
2009typename __tree<_Tp, _Compare, _Allocator>::__node_base_pointer&
2010__tree<_Tp, _Compare, _Allocator>::__find_equal(const_iterator __hint,
2011                                                __parent_pointer& __parent,
2012                                                __node_base_pointer& __dummy,
2013                                                const _Key& __v)
2014{
2015    if (__hint == end() || value_comp()(__v, *__hint))  // check before
2016    {
2017        // __v < *__hint
2018        const_iterator __prior = __hint;
2019        if (__prior == begin() || value_comp()(*--__prior, __v))
2020        {
2021            // *prev(__hint) < __v < *__hint
2022            if (__hint.__ptr_->__left_ == nullptr)
2023            {
2024                __parent = static_cast<__parent_pointer>(__hint.__ptr_);
2025                return __parent->__left_;
2026            }
2027            else
2028            {
2029                __parent = static_cast<__parent_pointer>(__prior.__ptr_);
2030                return static_cast<__node_base_pointer>(__prior.__ptr_)->__right_;
2031            }
2032        }
2033        // __v <= *prev(__hint)
2034        return __find_equal(__parent, __v);
2035    }
2036    else if (value_comp()(*__hint, __v))  // check after
2037    {
2038        // *__hint < __v
2039        const_iterator __next = _VSTD::next(__hint);
2040        if (__next == end() || value_comp()(__v, *__next))
2041        {
2042            // *__hint < __v < *_VSTD::next(__hint)
2043            if (__hint.__get_np()->__right_ == nullptr)
2044            {
2045                __parent = static_cast<__parent_pointer>(__hint.__ptr_);
2046                return static_cast<__node_base_pointer>(__hint.__ptr_)->__right_;
2047            }
2048            else
2049            {
2050                __parent = static_cast<__parent_pointer>(__next.__ptr_);
2051                return __parent->__left_;
2052            }
2053        }
2054        // *next(__hint) <= __v
2055        return __find_equal(__parent, __v);
2056    }
2057    // else __v == *__hint
2058    __parent = static_cast<__parent_pointer>(__hint.__ptr_);
2059    __dummy = static_cast<__node_base_pointer>(__hint.__ptr_);
2060    return __dummy;
2061}
2062
2063template <class _Tp, class _Compare, class _Allocator>
2064void
2065__tree<_Tp, _Compare, _Allocator>::__insert_node_at(__parent_pointer     __parent,
2066                                                    __node_base_pointer& __child,
2067                                                    __node_base_pointer  __new_node)
2068{
2069    __new_node->__left_   = nullptr;
2070    __new_node->__right_  = nullptr;
2071    __new_node->__parent_ = __parent;
2072    // __new_node->__is_black_ is initialized in __tree_balance_after_insert
2073    __child = __new_node;
2074    if (__begin_node()->__left_ != nullptr)
2075        __begin_node() = static_cast<__iter_pointer>(__begin_node()->__left_);
2076    __tree_balance_after_insert(__end_node()->__left_, __child);
2077    ++size();
2078}
2079
2080#ifndef _LIBCPP_CXX03_LANG
2081template <class _Tp, class _Compare, class _Allocator>
2082template <class _Key, class... _Args>
2083pair<typename __tree<_Tp, _Compare, _Allocator>::iterator, bool>
2084__tree<_Tp, _Compare, _Allocator>::__emplace_unique_key_args(_Key const& __k, _Args&&... __args)
2085#else
2086template <class _Tp, class _Compare, class _Allocator>
2087template <class _Key, class _Args>
2088pair<typename __tree<_Tp, _Compare, _Allocator>::iterator, bool>
2089__tree<_Tp, _Compare, _Allocator>::__emplace_unique_key_args(_Key const& __k, _Args& __args)
2090#endif
2091{
2092    __parent_pointer __parent;
2093    __node_base_pointer& __child = __find_equal(__parent, __k);
2094    __node_pointer __r = static_cast<__node_pointer>(__child);
2095    bool __inserted = false;
2096    if (__child == nullptr)
2097    {
2098#ifndef _LIBCPP_CXX03_LANG
2099        __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2100#else
2101        __node_holder __h = __construct_node(__args);
2102#endif
2103        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2104        __r = __h.release();
2105        __inserted = true;
2106    }
2107    return pair<iterator, bool>(iterator(__r), __inserted);
2108}
2109
2110
2111#ifndef _LIBCPP_CXX03_LANG
2112template <class _Tp, class _Compare, class _Allocator>
2113template <class _Key, class... _Args>
2114typename __tree<_Tp, _Compare, _Allocator>::iterator
2115__tree<_Tp, _Compare, _Allocator>::__emplace_hint_unique_key_args(
2116    const_iterator __p, _Key const& __k, _Args&&... __args)
2117#else
2118template <class _Tp, class _Compare, class _Allocator>
2119template <class _Key, class _Args>
2120typename __tree<_Tp, _Compare, _Allocator>::iterator
2121__tree<_Tp, _Compare, _Allocator>::__emplace_hint_unique_key_args(
2122    const_iterator __p, _Key const& __k, _Args& __args)
2123#endif
2124{
2125    __parent_pointer __parent;
2126    __node_base_pointer __dummy;
2127    __node_base_pointer& __child = __find_equal(__p, __parent, __dummy, __k);
2128    __node_pointer __r = static_cast<__node_pointer>(__child);
2129    if (__child == nullptr)
2130    {
2131#ifndef _LIBCPP_CXX03_LANG
2132        __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2133#else
2134        __node_holder __h = __construct_node(__args);
2135#endif
2136        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2137        __r = __h.release();
2138    }
2139    return iterator(__r);
2140}
2141
2142
2143#ifndef _LIBCPP_CXX03_LANG
2144
2145template <class _Tp, class _Compare, class _Allocator>
2146template <class ..._Args>
2147typename __tree<_Tp, _Compare, _Allocator>::__node_holder
2148__tree<_Tp, _Compare, _Allocator>::__construct_node(_Args&& ...__args)
2149{
2150    static_assert(!__is_tree_value_type<_Args...>::value,
2151                  "Cannot construct from __value_type");
2152    __node_allocator& __na = __node_alloc();
2153    __node_holder __h(__node_traits::allocate(__na, 1), _Dp(__na));
2154    __node_traits::construct(__na, _NodeTypes::__get_ptr(__h->__value_), _VSTD::forward<_Args>(__args)...);
2155    __h.get_deleter().__value_constructed = true;
2156    return __h;
2157}
2158
2159
2160template <class _Tp, class _Compare, class _Allocator>
2161template <class... _Args>
2162pair<typename __tree<_Tp, _Compare, _Allocator>::iterator, bool>
2163__tree<_Tp, _Compare, _Allocator>::__emplace_unique_impl(_Args&&... __args)
2164{
2165    __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2166    __parent_pointer __parent;
2167    __node_base_pointer& __child = __find_equal(__parent, __h->__value_);
2168    __node_pointer __r = static_cast<__node_pointer>(__child);
2169    bool __inserted = false;
2170    if (__child == nullptr)
2171    {
2172        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2173        __r = __h.release();
2174        __inserted = true;
2175    }
2176    return pair<iterator, bool>(iterator(__r), __inserted);
2177}
2178
2179template <class _Tp, class _Compare, class _Allocator>
2180template <class... _Args>
2181typename __tree<_Tp, _Compare, _Allocator>::iterator
2182__tree<_Tp, _Compare, _Allocator>::__emplace_hint_unique_impl(const_iterator __p, _Args&&... __args)
2183{
2184    __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2185    __parent_pointer __parent;
2186    __node_base_pointer __dummy;
2187    __node_base_pointer& __child = __find_equal(__p, __parent, __dummy, __h->__value_);
2188    __node_pointer __r = static_cast<__node_pointer>(__child);
2189    if (__child == nullptr)
2190    {
2191        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2192        __r = __h.release();
2193    }
2194    return iterator(__r);
2195}
2196
2197template <class _Tp, class _Compare, class _Allocator>
2198template <class... _Args>
2199typename __tree<_Tp, _Compare, _Allocator>::iterator
2200__tree<_Tp, _Compare, _Allocator>::__emplace_multi(_Args&&... __args)
2201{
2202    __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2203    __parent_pointer __parent;
2204    __node_base_pointer& __child = __find_leaf_high(__parent, _NodeTypes::__get_key(__h->__value_));
2205    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2206    return iterator(static_cast<__node_pointer>(__h.release()));
2207}
2208
2209template <class _Tp, class _Compare, class _Allocator>
2210template <class... _Args>
2211typename __tree<_Tp, _Compare, _Allocator>::iterator
2212__tree<_Tp, _Compare, _Allocator>::__emplace_hint_multi(const_iterator __p,
2213                                                        _Args&&... __args)
2214{
2215    __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2216    __parent_pointer __parent;
2217    __node_base_pointer& __child = __find_leaf(__p, __parent, _NodeTypes::__get_key(__h->__value_));
2218    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2219    return iterator(static_cast<__node_pointer>(__h.release()));
2220}
2221
2222
2223#else  // _LIBCPP_CXX03_LANG
2224
2225template <class _Tp, class _Compare, class _Allocator>
2226typename __tree<_Tp, _Compare, _Allocator>::__node_holder
2227__tree<_Tp, _Compare, _Allocator>::__construct_node(const __container_value_type& __v)
2228{
2229    __node_allocator& __na = __node_alloc();
2230    __node_holder __h(__node_traits::allocate(__na, 1), _Dp(__na));
2231    __node_traits::construct(__na, _NodeTypes::__get_ptr(__h->__value_), __v);
2232    __h.get_deleter().__value_constructed = true;
2233    return _LIBCPP_EXPLICIT_MOVE(__h);  // explicitly moved for C++03
2234}
2235
2236#endif  // _LIBCPP_CXX03_LANG
2237
2238#ifdef _LIBCPP_CXX03_LANG
2239template <class _Tp, class _Compare, class _Allocator>
2240typename __tree<_Tp, _Compare, _Allocator>::iterator
2241__tree<_Tp, _Compare, _Allocator>::__insert_multi(const __container_value_type& __v)
2242{
2243    __parent_pointer __parent;
2244    __node_base_pointer& __child = __find_leaf_high(__parent, _NodeTypes::__get_key(__v));
2245    __node_holder __h = __construct_node(__v);
2246    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2247    return iterator(__h.release());
2248}
2249
2250template <class _Tp, class _Compare, class _Allocator>
2251typename __tree<_Tp, _Compare, _Allocator>::iterator
2252__tree<_Tp, _Compare, _Allocator>::__insert_multi(const_iterator __p, const __container_value_type& __v)
2253{
2254    __parent_pointer __parent;
2255    __node_base_pointer& __child = __find_leaf(__p, __parent, _NodeTypes::__get_key(__v));
2256    __node_holder __h = __construct_node(__v);
2257    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2258    return iterator(__h.release());
2259}
2260#endif
2261
2262template <class _Tp, class _Compare, class _Allocator>
2263pair<typename __tree<_Tp, _Compare, _Allocator>::iterator, bool>
2264__tree<_Tp, _Compare, _Allocator>::__node_insert_unique(__node_pointer __nd)
2265{
2266    __parent_pointer __parent;
2267    __node_base_pointer& __child = __find_equal(__parent, __nd->__value_);
2268    __node_pointer __r = static_cast<__node_pointer>(__child);
2269    bool __inserted = false;
2270    if (__child == nullptr)
2271    {
2272        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__nd));
2273        __r = __nd;
2274        __inserted = true;
2275    }
2276    return pair<iterator, bool>(iterator(__r), __inserted);
2277}
2278
2279template <class _Tp, class _Compare, class _Allocator>
2280typename __tree<_Tp, _Compare, _Allocator>::iterator
2281__tree<_Tp, _Compare, _Allocator>::__node_insert_unique(const_iterator __p,
2282                                                        __node_pointer __nd)
2283{
2284    __parent_pointer __parent;
2285    __node_base_pointer __dummy;
2286    __node_base_pointer& __child = __find_equal(__p, __parent, __nd->__value_);
2287    __node_pointer __r = static_cast<__node_pointer>(__child);
2288    if (__child == nullptr)
2289    {
2290        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__nd));
2291        __r = __nd;
2292    }
2293    return iterator(__r);
2294}
2295
2296template <class _Tp, class _Compare, class _Allocator>
2297typename __tree<_Tp, _Compare, _Allocator>::iterator
2298__tree<_Tp, _Compare, _Allocator>::__node_insert_multi(__node_pointer __nd)
2299{
2300    __parent_pointer __parent;
2301    __node_base_pointer& __child = __find_leaf_high(__parent, _NodeTypes::__get_key(__nd->__value_));
2302    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__nd));
2303    return iterator(__nd);
2304}
2305
2306template <class _Tp, class _Compare, class _Allocator>
2307typename __tree<_Tp, _Compare, _Allocator>::iterator
2308__tree<_Tp, _Compare, _Allocator>::__node_insert_multi(const_iterator __p,
2309                                                       __node_pointer __nd)
2310{
2311    __parent_pointer __parent;
2312    __node_base_pointer& __child = __find_leaf(__p, __parent, _NodeTypes::__get_key(__nd->__value_));
2313    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__nd));
2314    return iterator(__nd);
2315}
2316
2317template <class _Tp, class _Compare, class _Allocator>
2318typename __tree<_Tp, _Compare, _Allocator>::iterator
2319__tree<_Tp, _Compare, _Allocator>::erase(const_iterator __p)
2320{
2321    __node_pointer __np = __p.__get_np();
2322    iterator __r(__p.__ptr_);
2323    ++__r;
2324    if (__begin_node() == __p.__ptr_)
2325        __begin_node() = __r.__ptr_;
2326    --size();
2327    __node_allocator& __na = __node_alloc();
2328    __tree_remove(__end_node()->__left_,
2329                  static_cast<__node_base_pointer>(__np));
2330    __node_traits::destroy(__na, _NodeTypes::__get_ptr(
2331        const_cast<__node_value_type&>(*__p)));
2332    __node_traits::deallocate(__na, __np, 1);
2333    return __r;
2334}
2335
2336template <class _Tp, class _Compare, class _Allocator>
2337typename __tree<_Tp, _Compare, _Allocator>::iterator
2338__tree<_Tp, _Compare, _Allocator>::erase(const_iterator __f, const_iterator __l)
2339{
2340    while (__f != __l)
2341        __f = erase(__f);
2342    return iterator(__l.__ptr_);
2343}
2344
2345template <class _Tp, class _Compare, class _Allocator>
2346template <class _Key>
2347typename __tree<_Tp, _Compare, _Allocator>::size_type
2348__tree<_Tp, _Compare, _Allocator>::__erase_unique(const _Key& __k)
2349{
2350    iterator __i = find(__k);
2351    if (__i == end())
2352        return 0;
2353    erase(__i);
2354    return 1;
2355}
2356
2357template <class _Tp, class _Compare, class _Allocator>
2358template <class _Key>
2359typename __tree<_Tp, _Compare, _Allocator>::size_type
2360__tree<_Tp, _Compare, _Allocator>::__erase_multi(const _Key& __k)
2361{
2362    pair<iterator, iterator> __p = __equal_range_multi(__k);
2363    size_type __r = 0;
2364    for (; __p.first != __p.second; ++__r)
2365        __p.first = erase(__p.first);
2366    return __r;
2367}
2368
2369template <class _Tp, class _Compare, class _Allocator>
2370template <class _Key>
2371typename __tree<_Tp, _Compare, _Allocator>::iterator
2372__tree<_Tp, _Compare, _Allocator>::find(const _Key& __v)
2373{
2374    iterator __p = __lower_bound(__v, __root(), __end_node());
2375    if (__p != end() && !value_comp()(__v, *__p))
2376        return __p;
2377    return end();
2378}
2379
2380template <class _Tp, class _Compare, class _Allocator>
2381template <class _Key>
2382typename __tree<_Tp, _Compare, _Allocator>::const_iterator
2383__tree<_Tp, _Compare, _Allocator>::find(const _Key& __v) const
2384{
2385    const_iterator __p = __lower_bound(__v, __root(), __end_node());
2386    if (__p != end() && !value_comp()(__v, *__p))
2387        return __p;
2388    return end();
2389}
2390
2391template <class _Tp, class _Compare, class _Allocator>
2392template <class _Key>
2393typename __tree<_Tp, _Compare, _Allocator>::size_type
2394__tree<_Tp, _Compare, _Allocator>::__count_unique(const _Key& __k) const
2395{
2396    __node_pointer __rt = __root();
2397    while (__rt != nullptr)
2398    {
2399        if (value_comp()(__k, __rt->__value_))
2400        {
2401            __rt = static_cast<__node_pointer>(__rt->__left_);
2402        }
2403        else if (value_comp()(__rt->__value_, __k))
2404            __rt = static_cast<__node_pointer>(__rt->__right_);
2405        else
2406            return 1;
2407    }
2408    return 0;
2409}
2410
2411template <class _Tp, class _Compare, class _Allocator>
2412template <class _Key>
2413typename __tree<_Tp, _Compare, _Allocator>::size_type
2414__tree<_Tp, _Compare, _Allocator>::__count_multi(const _Key& __k) const
2415{
2416    __iter_pointer __result = __end_node();
2417    __node_pointer __rt = __root();
2418    while (__rt != nullptr)
2419    {
2420        if (value_comp()(__k, __rt->__value_))
2421        {
2422            __result = static_cast<__iter_pointer>(__rt);
2423            __rt = static_cast<__node_pointer>(__rt->__left_);
2424        }
2425        else if (value_comp()(__rt->__value_, __k))
2426            __rt = static_cast<__node_pointer>(__rt->__right_);
2427        else
2428            return _VSTD::distance(
2429                __lower_bound(__k, static_cast<__node_pointer>(__rt->__left_), static_cast<__iter_pointer>(__rt)),
2430                __upper_bound(__k, static_cast<__node_pointer>(__rt->__right_), __result)
2431            );
2432    }
2433    return 0;
2434}
2435
2436template <class _Tp, class _Compare, class _Allocator>
2437template <class _Key>
2438typename __tree<_Tp, _Compare, _Allocator>::iterator
2439__tree<_Tp, _Compare, _Allocator>::__lower_bound(const _Key& __v,
2440                                                 __node_pointer __root,
2441                                                 __iter_pointer __result)
2442{
2443    while (__root != nullptr)
2444    {
2445        if (!value_comp()(__root->__value_, __v))
2446        {
2447            __result = static_cast<__iter_pointer>(__root);
2448            __root = static_cast<__node_pointer>(__root->__left_);
2449        }
2450        else
2451            __root = static_cast<__node_pointer>(__root->__right_);
2452    }
2453    return iterator(__result);
2454}
2455
2456template <class _Tp, class _Compare, class _Allocator>
2457template <class _Key>
2458typename __tree<_Tp, _Compare, _Allocator>::const_iterator
2459__tree<_Tp, _Compare, _Allocator>::__lower_bound(const _Key& __v,
2460                                                 __node_pointer __root,
2461                                                 __iter_pointer __result) const
2462{
2463    while (__root != nullptr)
2464    {
2465        if (!value_comp()(__root->__value_, __v))
2466        {
2467            __result = static_cast<__iter_pointer>(__root);
2468            __root = static_cast<__node_pointer>(__root->__left_);
2469        }
2470        else
2471            __root = static_cast<__node_pointer>(__root->__right_);
2472    }
2473    return const_iterator(__result);
2474}
2475
2476template <class _Tp, class _Compare, class _Allocator>
2477template <class _Key>
2478typename __tree<_Tp, _Compare, _Allocator>::iterator
2479__tree<_Tp, _Compare, _Allocator>::__upper_bound(const _Key& __v,
2480                                                 __node_pointer __root,
2481                                                 __iter_pointer __result)
2482{
2483    while (__root != nullptr)
2484    {
2485        if (value_comp()(__v, __root->__value_))
2486        {
2487            __result = static_cast<__iter_pointer>(__root);
2488            __root = static_cast<__node_pointer>(__root->__left_);
2489        }
2490        else
2491            __root = static_cast<__node_pointer>(__root->__right_);
2492    }
2493    return iterator(__result);
2494}
2495
2496template <class _Tp, class _Compare, class _Allocator>
2497template <class _Key>
2498typename __tree<_Tp, _Compare, _Allocator>::const_iterator
2499__tree<_Tp, _Compare, _Allocator>::__upper_bound(const _Key& __v,
2500                                                 __node_pointer __root,
2501                                                 __iter_pointer __result) const
2502{
2503    while (__root != nullptr)
2504    {
2505        if (value_comp()(__v, __root->__value_))
2506        {
2507            __result = static_cast<__iter_pointer>(__root);
2508            __root = static_cast<__node_pointer>(__root->__left_);
2509        }
2510        else
2511            __root = static_cast<__node_pointer>(__root->__right_);
2512    }
2513    return const_iterator(__result);
2514}
2515
2516template <class _Tp, class _Compare, class _Allocator>
2517template <class _Key>
2518pair<typename __tree<_Tp, _Compare, _Allocator>::iterator,
2519     typename __tree<_Tp, _Compare, _Allocator>::iterator>
2520__tree<_Tp, _Compare, _Allocator>::__equal_range_unique(const _Key& __k)
2521{
2522    typedef pair<iterator, iterator> _Pp;
2523    __iter_pointer __result = __end_node();
2524    __node_pointer __rt = __root();
2525    while (__rt != nullptr)
2526    {
2527        if (value_comp()(__k, __rt->__value_))
2528        {
2529            __result = static_cast<__iter_pointer>(__rt);
2530            __rt = static_cast<__node_pointer>(__rt->__left_);
2531        }
2532        else if (value_comp()(__rt->__value_, __k))
2533            __rt = static_cast<__node_pointer>(__rt->__right_);
2534        else
2535            return _Pp(iterator(__rt),
2536                      iterator(
2537                          __rt->__right_ != nullptr ?
2538                              static_cast<__iter_pointer>(__tree_min(__rt->__right_))
2539                            : __result));
2540    }
2541    return _Pp(iterator(__result), iterator(__result));
2542}
2543
2544template <class _Tp, class _Compare, class _Allocator>
2545template <class _Key>
2546pair<typename __tree<_Tp, _Compare, _Allocator>::const_iterator,
2547     typename __tree<_Tp, _Compare, _Allocator>::const_iterator>
2548__tree<_Tp, _Compare, _Allocator>::__equal_range_unique(const _Key& __k) const
2549{
2550    typedef pair<const_iterator, const_iterator> _Pp;
2551    __iter_pointer __result = __end_node();
2552    __node_pointer __rt = __root();
2553    while (__rt != nullptr)
2554    {
2555        if (value_comp()(__k, __rt->__value_))
2556        {
2557            __result = static_cast<__iter_pointer>(__rt);
2558            __rt = static_cast<__node_pointer>(__rt->__left_);
2559        }
2560        else if (value_comp()(__rt->__value_, __k))
2561            __rt = static_cast<__node_pointer>(__rt->__right_);
2562        else
2563            return _Pp(const_iterator(__rt),
2564                      const_iterator(
2565                          __rt->__right_ != nullptr ?
2566                              static_cast<__iter_pointer>(__tree_min(__rt->__right_))
2567                            : __result));
2568    }
2569    return _Pp(const_iterator(__result), const_iterator(__result));
2570}
2571
2572template <class _Tp, class _Compare, class _Allocator>
2573template <class _Key>
2574pair<typename __tree<_Tp, _Compare, _Allocator>::iterator,
2575     typename __tree<_Tp, _Compare, _Allocator>::iterator>
2576__tree<_Tp, _Compare, _Allocator>::__equal_range_multi(const _Key& __k)
2577{
2578    typedef pair<iterator, iterator> _Pp;
2579    __iter_pointer __result = __end_node();
2580    __node_pointer __rt = __root();
2581    while (__rt != nullptr)
2582    {
2583        if (value_comp()(__k, __rt->__value_))
2584        {
2585            __result = static_cast<__iter_pointer>(__rt);
2586            __rt = static_cast<__node_pointer>(__rt->__left_);
2587        }
2588        else if (value_comp()(__rt->__value_, __k))
2589            __rt = static_cast<__node_pointer>(__rt->__right_);
2590        else
2591            return _Pp(__lower_bound(__k, static_cast<__node_pointer>(__rt->__left_), static_cast<__iter_pointer>(__rt)),
2592                      __upper_bound(__k, static_cast<__node_pointer>(__rt->__right_), __result));
2593    }
2594    return _Pp(iterator(__result), iterator(__result));
2595}
2596
2597template <class _Tp, class _Compare, class _Allocator>
2598template <class _Key>
2599pair<typename __tree<_Tp, _Compare, _Allocator>::const_iterator,
2600     typename __tree<_Tp, _Compare, _Allocator>::const_iterator>
2601__tree<_Tp, _Compare, _Allocator>::__equal_range_multi(const _Key& __k) const
2602{
2603    typedef pair<const_iterator, const_iterator> _Pp;
2604    __iter_pointer __result = __end_node();
2605    __node_pointer __rt = __root();
2606    while (__rt != nullptr)
2607    {
2608        if (value_comp()(__k, __rt->__value_))
2609        {
2610            __result = static_cast<__iter_pointer>(__rt);
2611            __rt = static_cast<__node_pointer>(__rt->__left_);
2612        }
2613        else if (value_comp()(__rt->__value_, __k))
2614            __rt = static_cast<__node_pointer>(__rt->__right_);
2615        else
2616            return _Pp(__lower_bound(__k, static_cast<__node_pointer>(__rt->__left_), static_cast<__iter_pointer>(__rt)),
2617                      __upper_bound(__k, static_cast<__node_pointer>(__rt->__right_), __result));
2618    }
2619    return _Pp(const_iterator(__result), const_iterator(__result));
2620}
2621
2622template <class _Tp, class _Compare, class _Allocator>
2623typename __tree<_Tp, _Compare, _Allocator>::__node_holder
2624__tree<_Tp, _Compare, _Allocator>::remove(const_iterator __p) _NOEXCEPT
2625{
2626    __node_pointer __np = __p.__get_np();
2627    if (__begin_node() == __p.__ptr_)
2628    {
2629        if (__np->__right_ != nullptr)
2630            __begin_node() = static_cast<__iter_pointer>(__np->__right_);
2631        else
2632            __begin_node() = static_cast<__iter_pointer>(__np->__parent_);
2633    }
2634    --size();
2635    __tree_remove(__end_node()->__left_,
2636                  static_cast<__node_base_pointer>(__np));
2637    return __node_holder(__np, _Dp(__node_alloc(), true));
2638}
2639
2640template <class _Tp, class _Compare, class _Allocator>
2641inline _LIBCPP_INLINE_VISIBILITY
2642void
2643swap(__tree<_Tp, _Compare, _Allocator>& __x,
2644     __tree<_Tp, _Compare, _Allocator>& __y)
2645    _NOEXCEPT_(_NOEXCEPT_(__x.swap(__y)))
2646{
2647    __x.swap(__y);
2648}
2649
2650_LIBCPP_END_NAMESPACE_STD
2651
2652#endif  // _LIBCPP___TREE
2653