xref: /freebsd-12.1/contrib/libc++/include/__tree (revision 2b375b4e)
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 __node_traits::max_size(__node_alloc());}
1110
1111    void clear() _NOEXCEPT;
1112
1113    void swap(__tree& __t)
1114        _NOEXCEPT_(
1115            __is_nothrow_swappable<value_compare>::value
1116#if _LIBCPP_STD_VER <= 11
1117            && (!__node_traits::propagate_on_container_swap::value ||
1118                 __is_nothrow_swappable<__node_allocator>::value)
1119#endif
1120            );
1121
1122
1123#ifndef _LIBCPP_CXX03_LANG
1124    template <class _Key, class ..._Args>
1125    pair<iterator, bool>
1126    __emplace_unique_key_args(_Key const&, _Args&&... __args);
1127    template <class _Key, class ..._Args>
1128    iterator
1129    __emplace_hint_unique_key_args(const_iterator, _Key const&, _Args&&...);
1130
1131    template <class... _Args>
1132    pair<iterator, bool> __emplace_unique_impl(_Args&&... __args);
1133
1134    template <class... _Args>
1135    iterator __emplace_hint_unique_impl(const_iterator __p, _Args&&... __args);
1136
1137    template <class... _Args>
1138    iterator __emplace_multi(_Args&&... __args);
1139
1140    template <class... _Args>
1141    iterator __emplace_hint_multi(const_iterator __p, _Args&&... __args);
1142
1143    template <class _Pp>
1144    _LIBCPP_INLINE_VISIBILITY
1145    pair<iterator, bool> __emplace_unique(_Pp&& __x) {
1146        return __emplace_unique_extract_key(_VSTD::forward<_Pp>(__x),
1147                                            __can_extract_key<_Pp, key_type>());
1148    }
1149
1150    template <class _First, class _Second>
1151    _LIBCPP_INLINE_VISIBILITY
1152    typename enable_if<
1153        __can_extract_map_key<_First, key_type, __container_value_type>::value,
1154        pair<iterator, bool>
1155    >::type __emplace_unique(_First&& __f, _Second&& __s) {
1156        return __emplace_unique_key_args(__f, _VSTD::forward<_First>(__f),
1157                                              _VSTD::forward<_Second>(__s));
1158    }
1159
1160    template <class... _Args>
1161    _LIBCPP_INLINE_VISIBILITY
1162    pair<iterator, bool> __emplace_unique(_Args&&... __args) {
1163        return __emplace_unique_impl(_VSTD::forward<_Args>(__args)...);
1164    }
1165
1166    template <class _Pp>
1167    _LIBCPP_INLINE_VISIBILITY
1168    pair<iterator, bool>
1169    __emplace_unique_extract_key(_Pp&& __x, __extract_key_fail_tag) {
1170      return __emplace_unique_impl(_VSTD::forward<_Pp>(__x));
1171    }
1172
1173    template <class _Pp>
1174    _LIBCPP_INLINE_VISIBILITY
1175    pair<iterator, bool>
1176    __emplace_unique_extract_key(_Pp&& __x, __extract_key_self_tag) {
1177      return __emplace_unique_key_args(__x, _VSTD::forward<_Pp>(__x));
1178    }
1179
1180    template <class _Pp>
1181    _LIBCPP_INLINE_VISIBILITY
1182    pair<iterator, bool>
1183    __emplace_unique_extract_key(_Pp&& __x, __extract_key_first_tag) {
1184      return __emplace_unique_key_args(__x.first, _VSTD::forward<_Pp>(__x));
1185    }
1186
1187    template <class _Pp>
1188    _LIBCPP_INLINE_VISIBILITY
1189    iterator __emplace_hint_unique(const_iterator __p, _Pp&& __x) {
1190        return __emplace_hint_unique_extract_key(__p, _VSTD::forward<_Pp>(__x),
1191                                            __can_extract_key<_Pp, key_type>());
1192    }
1193
1194    template <class _First, class _Second>
1195    _LIBCPP_INLINE_VISIBILITY
1196    typename enable_if<
1197        __can_extract_map_key<_First, key_type, __container_value_type>::value,
1198        iterator
1199    >::type __emplace_hint_unique(const_iterator __p, _First&& __f, _Second&& __s) {
1200        return __emplace_hint_unique_key_args(__p, __f,
1201                                              _VSTD::forward<_First>(__f),
1202                                              _VSTD::forward<_Second>(__s));
1203    }
1204
1205    template <class... _Args>
1206    _LIBCPP_INLINE_VISIBILITY
1207    iterator __emplace_hint_unique(const_iterator __p, _Args&&... __args) {
1208        return __emplace_hint_unique_impl(__p, _VSTD::forward<_Args>(__args)...);
1209    }
1210
1211    template <class _Pp>
1212    _LIBCPP_INLINE_VISIBILITY
1213    iterator
1214    __emplace_hint_unique_extract_key(const_iterator __p, _Pp&& __x, __extract_key_fail_tag) {
1215      return __emplace_hint_unique_impl(__p, _VSTD::forward<_Pp>(__x));
1216    }
1217
1218    template <class _Pp>
1219    _LIBCPP_INLINE_VISIBILITY
1220    iterator
1221    __emplace_hint_unique_extract_key(const_iterator __p, _Pp&& __x, __extract_key_self_tag) {
1222      return __emplace_hint_unique_key_args(__p, __x, _VSTD::forward<_Pp>(__x));
1223    }
1224
1225    template <class _Pp>
1226    _LIBCPP_INLINE_VISIBILITY
1227    iterator
1228    __emplace_hint_unique_extract_key(const_iterator __p, _Pp&& __x, __extract_key_first_tag) {
1229      return __emplace_hint_unique_key_args(__p, __x.first, _VSTD::forward<_Pp>(__x));
1230    }
1231
1232#else
1233    template <class _Key, class _Args>
1234    _LIBCPP_INLINE_VISIBILITY
1235    pair<iterator, bool> __emplace_unique_key_args(_Key const&, _Args& __args);
1236    template <class _Key, class _Args>
1237    _LIBCPP_INLINE_VISIBILITY
1238    iterator __emplace_hint_unique_key_args(const_iterator, _Key const&, _Args&);
1239#endif
1240
1241    _LIBCPP_INLINE_VISIBILITY
1242    pair<iterator, bool> __insert_unique(const __container_value_type& __v) {
1243        return __emplace_unique_key_args(_NodeTypes::__get_key(__v), __v);
1244    }
1245
1246    _LIBCPP_INLINE_VISIBILITY
1247    iterator __insert_unique(const_iterator __p, const __container_value_type& __v) {
1248        return __emplace_hint_unique_key_args(__p, _NodeTypes::__get_key(__v), __v);
1249    }
1250
1251#ifdef _LIBCPP_CXX03_LANG
1252    _LIBCPP_INLINE_VISIBILITY
1253    iterator __insert_multi(const __container_value_type& __v);
1254    _LIBCPP_INLINE_VISIBILITY
1255    iterator __insert_multi(const_iterator __p, const __container_value_type& __v);
1256#else
1257    _LIBCPP_INLINE_VISIBILITY
1258    pair<iterator, bool> __insert_unique(__container_value_type&& __v) {
1259        return __emplace_unique_key_args(_NodeTypes::__get_key(__v), _VSTD::move(__v));
1260    }
1261
1262    _LIBCPP_INLINE_VISIBILITY
1263    iterator __insert_unique(const_iterator __p, __container_value_type&& __v) {
1264        return __emplace_hint_unique_key_args(__p, _NodeTypes::__get_key(__v), _VSTD::move(__v));
1265    }
1266
1267    template <class _Vp, class = typename enable_if<
1268            !is_same<typename __unconstref<_Vp>::type,
1269                     __container_value_type
1270            >::value
1271        >::type>
1272    _LIBCPP_INLINE_VISIBILITY
1273    pair<iterator, bool> __insert_unique(_Vp&& __v) {
1274        return __emplace_unique(_VSTD::forward<_Vp>(__v));
1275    }
1276
1277    template <class _Vp, class = typename enable_if<
1278            !is_same<typename __unconstref<_Vp>::type,
1279                     __container_value_type
1280            >::value
1281        >::type>
1282    _LIBCPP_INLINE_VISIBILITY
1283    iterator __insert_unique(const_iterator __p, _Vp&& __v) {
1284        return __emplace_hint_unique(__p, _VSTD::forward<_Vp>(__v));
1285    }
1286
1287    _LIBCPP_INLINE_VISIBILITY
1288    iterator __insert_multi(__container_value_type&& __v) {
1289        return __emplace_multi(_VSTD::move(__v));
1290    }
1291
1292    _LIBCPP_INLINE_VISIBILITY
1293    iterator __insert_multi(const_iterator __p, __container_value_type&& __v) {
1294        return __emplace_hint_multi(__p, _VSTD::move(__v));
1295    }
1296
1297    template <class _Vp>
1298    _LIBCPP_INLINE_VISIBILITY
1299    iterator __insert_multi(_Vp&& __v) {
1300        return __emplace_multi(_VSTD::forward<_Vp>(__v));
1301    }
1302
1303    template <class _Vp>
1304    _LIBCPP_INLINE_VISIBILITY
1305    iterator __insert_multi(const_iterator __p, _Vp&& __v) {
1306        return __emplace_hint_multi(__p, _VSTD::forward<_Vp>(__v));
1307    }
1308
1309#endif // !_LIBCPP_CXX03_LANG
1310
1311    pair<iterator, bool> __node_insert_unique(__node_pointer __nd);
1312    iterator             __node_insert_unique(const_iterator __p,
1313                                              __node_pointer __nd);
1314
1315    iterator __node_insert_multi(__node_pointer __nd);
1316    iterator __node_insert_multi(const_iterator __p, __node_pointer __nd);
1317
1318    iterator erase(const_iterator __p);
1319    iterator erase(const_iterator __f, const_iterator __l);
1320    template <class _Key>
1321        size_type __erase_unique(const _Key& __k);
1322    template <class _Key>
1323        size_type __erase_multi(const _Key& __k);
1324
1325    void __insert_node_at(__parent_pointer     __parent,
1326                          __node_base_pointer& __child,
1327                          __node_base_pointer __new_node);
1328
1329    template <class _Key>
1330        iterator find(const _Key& __v);
1331    template <class _Key>
1332        const_iterator find(const _Key& __v) const;
1333
1334    template <class _Key>
1335        size_type __count_unique(const _Key& __k) const;
1336    template <class _Key>
1337        size_type __count_multi(const _Key& __k) const;
1338
1339    template <class _Key>
1340        _LIBCPP_INLINE_VISIBILITY
1341        iterator lower_bound(const _Key& __v)
1342            {return __lower_bound(__v, __root(), __end_node());}
1343    template <class _Key>
1344        iterator __lower_bound(const _Key& __v,
1345                               __node_pointer __root,
1346                               __iter_pointer __result);
1347    template <class _Key>
1348        _LIBCPP_INLINE_VISIBILITY
1349        const_iterator lower_bound(const _Key& __v) const
1350            {return __lower_bound(__v, __root(), __end_node());}
1351    template <class _Key>
1352        const_iterator __lower_bound(const _Key& __v,
1353                                     __node_pointer __root,
1354                                     __iter_pointer __result) const;
1355    template <class _Key>
1356        _LIBCPP_INLINE_VISIBILITY
1357        iterator upper_bound(const _Key& __v)
1358            {return __upper_bound(__v, __root(), __end_node());}
1359    template <class _Key>
1360        iterator __upper_bound(const _Key& __v,
1361                               __node_pointer __root,
1362                               __iter_pointer __result);
1363    template <class _Key>
1364        _LIBCPP_INLINE_VISIBILITY
1365        const_iterator upper_bound(const _Key& __v) const
1366            {return __upper_bound(__v, __root(), __end_node());}
1367    template <class _Key>
1368        const_iterator __upper_bound(const _Key& __v,
1369                                     __node_pointer __root,
1370                                     __iter_pointer __result) const;
1371    template <class _Key>
1372        pair<iterator, iterator>
1373        __equal_range_unique(const _Key& __k);
1374    template <class _Key>
1375        pair<const_iterator, const_iterator>
1376        __equal_range_unique(const _Key& __k) const;
1377
1378    template <class _Key>
1379        pair<iterator, iterator>
1380        __equal_range_multi(const _Key& __k);
1381    template <class _Key>
1382        pair<const_iterator, const_iterator>
1383        __equal_range_multi(const _Key& __k) const;
1384
1385    typedef __tree_node_destructor<__node_allocator> _Dp;
1386    typedef unique_ptr<__node, _Dp> __node_holder;
1387
1388    __node_holder remove(const_iterator __p) _NOEXCEPT;
1389private:
1390    __node_base_pointer&
1391        __find_leaf_low(__parent_pointer& __parent, const key_type& __v);
1392    __node_base_pointer&
1393        __find_leaf_high(__parent_pointer& __parent, const key_type& __v);
1394    __node_base_pointer&
1395        __find_leaf(const_iterator __hint,
1396                    __parent_pointer& __parent, const key_type& __v);
1397    template <class _Key>
1398    __node_base_pointer&
1399        __find_equal(__parent_pointer& __parent, const _Key& __v);
1400    template <class _Key>
1401    __node_base_pointer&
1402        __find_equal(const_iterator __hint, __parent_pointer& __parent,
1403                     __node_base_pointer& __dummy,
1404                     const _Key& __v);
1405
1406#ifndef _LIBCPP_CXX03_LANG
1407    template <class ..._Args>
1408    __node_holder __construct_node(_Args&& ...__args);
1409#else
1410    __node_holder __construct_node(const __container_value_type& __v);
1411#endif
1412
1413    void destroy(__node_pointer __nd) _NOEXCEPT;
1414
1415    _LIBCPP_INLINE_VISIBILITY
1416    void __copy_assign_alloc(const __tree& __t)
1417        {__copy_assign_alloc(__t, integral_constant<bool,
1418             __node_traits::propagate_on_container_copy_assignment::value>());}
1419
1420    _LIBCPP_INLINE_VISIBILITY
1421    void __copy_assign_alloc(const __tree& __t, true_type)
1422        {
1423        if (__node_alloc() != __t.__node_alloc())
1424        	clear();
1425        __node_alloc() = __t.__node_alloc();
1426        }
1427    _LIBCPP_INLINE_VISIBILITY
1428    void __copy_assign_alloc(const __tree& __t, false_type) {}
1429
1430    void __move_assign(__tree& __t, false_type);
1431    void __move_assign(__tree& __t, true_type)
1432        _NOEXCEPT_(is_nothrow_move_assignable<value_compare>::value &&
1433                   is_nothrow_move_assignable<__node_allocator>::value);
1434
1435    _LIBCPP_INLINE_VISIBILITY
1436    void __move_assign_alloc(__tree& __t)
1437        _NOEXCEPT_(
1438            !__node_traits::propagate_on_container_move_assignment::value ||
1439            is_nothrow_move_assignable<__node_allocator>::value)
1440        {__move_assign_alloc(__t, integral_constant<bool,
1441             __node_traits::propagate_on_container_move_assignment::value>());}
1442
1443    _LIBCPP_INLINE_VISIBILITY
1444    void __move_assign_alloc(__tree& __t, true_type)
1445        _NOEXCEPT_(is_nothrow_move_assignable<__node_allocator>::value)
1446        {__node_alloc() = _VSTD::move(__t.__node_alloc());}
1447    _LIBCPP_INLINE_VISIBILITY
1448    void __move_assign_alloc(__tree& __t, false_type) _NOEXCEPT {}
1449
1450    __node_pointer __detach();
1451    static __node_pointer __detach(__node_pointer);
1452
1453    template <class, class, class, class> friend class _LIBCPP_TYPE_VIS_ONLY map;
1454    template <class, class, class, class> friend class _LIBCPP_TYPE_VIS_ONLY multimap;
1455};
1456
1457template <class _Tp, class _Compare, class _Allocator>
1458__tree<_Tp, _Compare, _Allocator>::__tree(const value_compare& __comp)
1459        _NOEXCEPT_(
1460            is_nothrow_default_constructible<__node_allocator>::value &&
1461            is_nothrow_copy_constructible<value_compare>::value)
1462    : __pair3_(0, __comp)
1463{
1464    __begin_node() = __end_node();
1465}
1466
1467template <class _Tp, class _Compare, class _Allocator>
1468__tree<_Tp, _Compare, _Allocator>::__tree(const allocator_type& __a)
1469    : __begin_node_(__iter_pointer()),
1470      __pair1_(__node_allocator(__a)),
1471      __pair3_(0)
1472{
1473    __begin_node() = __end_node();
1474}
1475
1476template <class _Tp, class _Compare, class _Allocator>
1477__tree<_Tp, _Compare, _Allocator>::__tree(const value_compare& __comp,
1478                                           const allocator_type& __a)
1479    : __begin_node_(__iter_pointer()),
1480      __pair1_(__node_allocator(__a)),
1481      __pair3_(0, __comp)
1482{
1483    __begin_node() = __end_node();
1484}
1485
1486// Precondition:  size() != 0
1487template <class _Tp, class _Compare, class _Allocator>
1488typename __tree<_Tp, _Compare, _Allocator>::__node_pointer
1489__tree<_Tp, _Compare, _Allocator>::__detach()
1490{
1491    __node_pointer __cache = static_cast<__node_pointer>(__begin_node());
1492    __begin_node() = __end_node();
1493    __end_node()->__left_->__parent_ = nullptr;
1494    __end_node()->__left_ = nullptr;
1495    size() = 0;
1496    // __cache->__left_ == nullptr
1497    if (__cache->__right_ != nullptr)
1498        __cache = static_cast<__node_pointer>(__cache->__right_);
1499    // __cache->__left_ == nullptr
1500    // __cache->__right_ == nullptr
1501    return __cache;
1502}
1503
1504// Precondition:  __cache != nullptr
1505//    __cache->left_ == nullptr
1506//    __cache->right_ == nullptr
1507//    This is no longer a red-black tree
1508template <class _Tp, class _Compare, class _Allocator>
1509typename __tree<_Tp, _Compare, _Allocator>::__node_pointer
1510__tree<_Tp, _Compare, _Allocator>::__detach(__node_pointer __cache)
1511{
1512    if (__cache->__parent_ == nullptr)
1513        return nullptr;
1514    if (__tree_is_left_child(static_cast<__node_base_pointer>(__cache)))
1515    {
1516        __cache->__parent_->__left_ = nullptr;
1517        __cache = static_cast<__node_pointer>(__cache->__parent_);
1518        if (__cache->__right_ == nullptr)
1519            return __cache;
1520        return static_cast<__node_pointer>(__tree_leaf(__cache->__right_));
1521    }
1522    // __cache is right child
1523    __cache->__parent_unsafe()->__right_ = nullptr;
1524    __cache = static_cast<__node_pointer>(__cache->__parent_);
1525    if (__cache->__left_ == nullptr)
1526        return __cache;
1527    return static_cast<__node_pointer>(__tree_leaf(__cache->__left_));
1528}
1529
1530template <class _Tp, class _Compare, class _Allocator>
1531__tree<_Tp, _Compare, _Allocator>&
1532__tree<_Tp, _Compare, _Allocator>::operator=(const __tree& __t)
1533{
1534    if (this != &__t)
1535    {
1536        value_comp() = __t.value_comp();
1537        __copy_assign_alloc(__t);
1538        __assign_multi(__t.begin(), __t.end());
1539    }
1540    return *this;
1541}
1542
1543template <class _Tp, class _Compare, class _Allocator>
1544template <class _InputIterator>
1545void
1546__tree<_Tp, _Compare, _Allocator>::__assign_unique(_InputIterator __first, _InputIterator __last)
1547{
1548    typedef iterator_traits<_InputIterator> _ITraits;
1549    typedef typename _ITraits::value_type _ItValueType;
1550    static_assert((is_same<_ItValueType, __container_value_type>::value),
1551                  "__assign_unique may only be called with the containers value type");
1552
1553    if (size() != 0)
1554    {
1555        __node_pointer __cache = __detach();
1556#ifndef _LIBCPP_NO_EXCEPTIONS
1557        try
1558        {
1559#endif  // _LIBCPP_NO_EXCEPTIONS
1560            for (; __cache != nullptr && __first != __last; ++__first)
1561            {
1562                __cache->__value_ = *__first;
1563                __node_pointer __next = __detach(__cache);
1564                __node_insert_unique(__cache);
1565                __cache = __next;
1566            }
1567#ifndef _LIBCPP_NO_EXCEPTIONS
1568        }
1569        catch (...)
1570        {
1571            while (__cache->__parent_ != nullptr)
1572                __cache = static_cast<__node_pointer>(__cache->__parent_);
1573            destroy(__cache);
1574            throw;
1575        }
1576#endif  // _LIBCPP_NO_EXCEPTIONS
1577        if (__cache != nullptr)
1578        {
1579            while (__cache->__parent_ != nullptr)
1580                __cache = static_cast<__node_pointer>(__cache->__parent_);
1581            destroy(__cache);
1582        }
1583    }
1584    for (; __first != __last; ++__first)
1585        __insert_unique(*__first);
1586}
1587
1588template <class _Tp, class _Compare, class _Allocator>
1589template <class _InputIterator>
1590void
1591__tree<_Tp, _Compare, _Allocator>::__assign_multi(_InputIterator __first, _InputIterator __last)
1592{
1593    typedef iterator_traits<_InputIterator> _ITraits;
1594    typedef typename _ITraits::value_type _ItValueType;
1595    static_assert((is_same<_ItValueType, __container_value_type>::value ||
1596                  is_same<_ItValueType, __node_value_type>::value),
1597                  "__assign_multi may only be called with the containers value type"
1598                  " or the nodes value type");
1599    if (size() != 0)
1600    {
1601        __node_pointer __cache = __detach();
1602#ifndef _LIBCPP_NO_EXCEPTIONS
1603        try
1604        {
1605#endif  // _LIBCPP_NO_EXCEPTIONS
1606            for (; __cache != nullptr && __first != __last; ++__first)
1607            {
1608                __cache->__value_ = *__first;
1609                __node_pointer __next = __detach(__cache);
1610                __node_insert_multi(__cache);
1611                __cache = __next;
1612            }
1613#ifndef _LIBCPP_NO_EXCEPTIONS
1614        }
1615        catch (...)
1616        {
1617            while (__cache->__parent_ != nullptr)
1618                __cache = static_cast<__node_pointer>(__cache->__parent_);
1619            destroy(__cache);
1620            throw;
1621        }
1622#endif  // _LIBCPP_NO_EXCEPTIONS
1623        if (__cache != nullptr)
1624        {
1625            while (__cache->__parent_ != nullptr)
1626                __cache = static_cast<__node_pointer>(__cache->__parent_);
1627            destroy(__cache);
1628        }
1629    }
1630    for (; __first != __last; ++__first)
1631        __insert_multi(_NodeTypes::__get_value(*__first));
1632}
1633
1634template <class _Tp, class _Compare, class _Allocator>
1635__tree<_Tp, _Compare, _Allocator>::__tree(const __tree& __t)
1636    : __begin_node_(__iter_pointer()),
1637      __pair1_(__node_traits::select_on_container_copy_construction(__t.__node_alloc())),
1638      __pair3_(0, __t.value_comp())
1639{
1640    __begin_node() = __end_node();
1641}
1642
1643#ifndef _LIBCPP_HAS_NO_RVALUE_REFERENCES
1644
1645template <class _Tp, class _Compare, class _Allocator>
1646__tree<_Tp, _Compare, _Allocator>::__tree(__tree&& __t)
1647    _NOEXCEPT_(
1648        is_nothrow_move_constructible<__node_allocator>::value &&
1649        is_nothrow_move_constructible<value_compare>::value)
1650    : __begin_node_(_VSTD::move(__t.__begin_node_)),
1651      __pair1_(_VSTD::move(__t.__pair1_)),
1652      __pair3_(_VSTD::move(__t.__pair3_))
1653{
1654    if (size() == 0)
1655        __begin_node() = __end_node();
1656    else
1657    {
1658        __end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__end_node());
1659        __t.__begin_node() = __t.__end_node();
1660        __t.__end_node()->__left_ = nullptr;
1661        __t.size() = 0;
1662    }
1663}
1664
1665template <class _Tp, class _Compare, class _Allocator>
1666__tree<_Tp, _Compare, _Allocator>::__tree(__tree&& __t, const allocator_type& __a)
1667    : __pair1_(__node_allocator(__a)),
1668      __pair3_(0, _VSTD::move(__t.value_comp()))
1669{
1670    if (__a == __t.__alloc())
1671    {
1672        if (__t.size() == 0)
1673            __begin_node() = __end_node();
1674        else
1675        {
1676            __begin_node() = __t.__begin_node();
1677            __end_node()->__left_ = __t.__end_node()->__left_;
1678            __end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__end_node());
1679            size() = __t.size();
1680            __t.__begin_node() = __t.__end_node();
1681            __t.__end_node()->__left_ = nullptr;
1682            __t.size() = 0;
1683        }
1684    }
1685    else
1686    {
1687        __begin_node() = __end_node();
1688    }
1689}
1690
1691template <class _Tp, class _Compare, class _Allocator>
1692void
1693__tree<_Tp, _Compare, _Allocator>::__move_assign(__tree& __t, true_type)
1694    _NOEXCEPT_(is_nothrow_move_assignable<value_compare>::value &&
1695               is_nothrow_move_assignable<__node_allocator>::value)
1696{
1697    destroy(static_cast<__node_pointer>(__end_node()->__left_));
1698    __begin_node_ = __t.__begin_node_;
1699    __pair1_.first() = __t.__pair1_.first();
1700    __move_assign_alloc(__t);
1701    __pair3_ = _VSTD::move(__t.__pair3_);
1702    if (size() == 0)
1703        __begin_node() = __end_node();
1704    else
1705    {
1706        __end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__end_node());
1707        __t.__begin_node() = __t.__end_node();
1708        __t.__end_node()->__left_ = nullptr;
1709        __t.size() = 0;
1710    }
1711}
1712
1713template <class _Tp, class _Compare, class _Allocator>
1714void
1715__tree<_Tp, _Compare, _Allocator>::__move_assign(__tree& __t, false_type)
1716{
1717    if (__node_alloc() == __t.__node_alloc())
1718        __move_assign(__t, true_type());
1719    else
1720    {
1721        value_comp() = _VSTD::move(__t.value_comp());
1722        const_iterator __e = end();
1723        if (size() != 0)
1724        {
1725            __node_pointer __cache = __detach();
1726#ifndef _LIBCPP_NO_EXCEPTIONS
1727            try
1728            {
1729#endif  // _LIBCPP_NO_EXCEPTIONS
1730                while (__cache != nullptr && __t.size() != 0)
1731                {
1732                    __cache->__value_ = _VSTD::move(__t.remove(__t.begin())->__value_);
1733                    __node_pointer __next = __detach(__cache);
1734                    __node_insert_multi(__cache);
1735                    __cache = __next;
1736                }
1737#ifndef _LIBCPP_NO_EXCEPTIONS
1738            }
1739            catch (...)
1740            {
1741                while (__cache->__parent_ != nullptr)
1742                    __cache = static_cast<__node_pointer>(__cache->__parent_);
1743                destroy(__cache);
1744                throw;
1745            }
1746#endif  // _LIBCPP_NO_EXCEPTIONS
1747            if (__cache != nullptr)
1748            {
1749                while (__cache->__parent_ != nullptr)
1750                    __cache = static_cast<__node_pointer>(__cache->__parent_);
1751                destroy(__cache);
1752            }
1753        }
1754        while (__t.size() != 0)
1755            __insert_multi(__e, _NodeTypes::__move(__t.remove(__t.begin())->__value_));
1756    }
1757}
1758
1759template <class _Tp, class _Compare, class _Allocator>
1760__tree<_Tp, _Compare, _Allocator>&
1761__tree<_Tp, _Compare, _Allocator>::operator=(__tree&& __t)
1762    _NOEXCEPT_(
1763        __node_traits::propagate_on_container_move_assignment::value &&
1764        is_nothrow_move_assignable<value_compare>::value &&
1765        is_nothrow_move_assignable<__node_allocator>::value)
1766
1767{
1768    __move_assign(__t, integral_constant<bool,
1769                  __node_traits::propagate_on_container_move_assignment::value>());
1770    return *this;
1771}
1772
1773#endif  // _LIBCPP_HAS_NO_RVALUE_REFERENCES
1774
1775template <class _Tp, class _Compare, class _Allocator>
1776__tree<_Tp, _Compare, _Allocator>::~__tree()
1777{
1778    static_assert((is_copy_constructible<value_compare>::value),
1779                 "Comparator must be copy-constructible.");
1780    destroy(__root());
1781}
1782
1783template <class _Tp, class _Compare, class _Allocator>
1784void
1785__tree<_Tp, _Compare, _Allocator>::destroy(__node_pointer __nd) _NOEXCEPT
1786{
1787    if (__nd != nullptr)
1788    {
1789        destroy(static_cast<__node_pointer>(__nd->__left_));
1790        destroy(static_cast<__node_pointer>(__nd->__right_));
1791        __node_allocator& __na = __node_alloc();
1792        __node_traits::destroy(__na, _NodeTypes::__get_ptr(__nd->__value_));
1793        __node_traits::deallocate(__na, __nd, 1);
1794    }
1795}
1796
1797template <class _Tp, class _Compare, class _Allocator>
1798void
1799__tree<_Tp, _Compare, _Allocator>::swap(__tree& __t)
1800        _NOEXCEPT_(
1801            __is_nothrow_swappable<value_compare>::value
1802#if _LIBCPP_STD_VER <= 11
1803            && (!__node_traits::propagate_on_container_swap::value ||
1804                 __is_nothrow_swappable<__node_allocator>::value)
1805#endif
1806            )
1807{
1808    using _VSTD::swap;
1809    swap(__begin_node_, __t.__begin_node_);
1810    swap(__pair1_.first(), __t.__pair1_.first());
1811    __swap_allocator(__node_alloc(), __t.__node_alloc());
1812    __pair3_.swap(__t.__pair3_);
1813    if (size() == 0)
1814        __begin_node() = __end_node();
1815    else
1816        __end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__end_node());
1817    if (__t.size() == 0)
1818        __t.__begin_node() = __t.__end_node();
1819    else
1820        __t.__end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__t.__end_node());
1821}
1822
1823template <class _Tp, class _Compare, class _Allocator>
1824void
1825__tree<_Tp, _Compare, _Allocator>::clear() _NOEXCEPT
1826{
1827    destroy(__root());
1828    size() = 0;
1829    __begin_node() = __end_node();
1830    __end_node()->__left_ = nullptr;
1831}
1832
1833// Find lower_bound place to insert
1834// Set __parent to parent of null leaf
1835// Return reference to null leaf
1836template <class _Tp, class _Compare, class _Allocator>
1837typename __tree<_Tp, _Compare, _Allocator>::__node_base_pointer&
1838__tree<_Tp, _Compare, _Allocator>::__find_leaf_low(__parent_pointer& __parent,
1839                                                   const key_type& __v)
1840{
1841    __node_pointer __nd = __root();
1842    if (__nd != nullptr)
1843    {
1844        while (true)
1845        {
1846            if (value_comp()(__nd->__value_, __v))
1847            {
1848                if (__nd->__right_ != nullptr)
1849                    __nd = static_cast<__node_pointer>(__nd->__right_);
1850                else
1851                {
1852                    __parent = static_cast<__parent_pointer>(__nd);
1853                    return __nd->__right_;
1854                }
1855            }
1856            else
1857            {
1858                if (__nd->__left_ != nullptr)
1859                    __nd = static_cast<__node_pointer>(__nd->__left_);
1860                else
1861                {
1862                    __parent = static_cast<__parent_pointer>(__nd);
1863                    return __parent->__left_;
1864                }
1865            }
1866        }
1867    }
1868    __parent = static_cast<__parent_pointer>(__end_node());
1869    return __parent->__left_;
1870}
1871
1872// Find upper_bound place to insert
1873// Set __parent to parent of null leaf
1874// Return reference to null leaf
1875template <class _Tp, class _Compare, class _Allocator>
1876typename __tree<_Tp, _Compare, _Allocator>::__node_base_pointer&
1877__tree<_Tp, _Compare, _Allocator>::__find_leaf_high(__parent_pointer& __parent,
1878                                                    const key_type& __v)
1879{
1880    __node_pointer __nd = __root();
1881    if (__nd != nullptr)
1882    {
1883        while (true)
1884        {
1885            if (value_comp()(__v, __nd->__value_))
1886            {
1887                if (__nd->__left_ != nullptr)
1888                    __nd = static_cast<__node_pointer>(__nd->__left_);
1889                else
1890                {
1891                    __parent = static_cast<__parent_pointer>(__nd);
1892                    return __parent->__left_;
1893                }
1894            }
1895            else
1896            {
1897                if (__nd->__right_ != nullptr)
1898                    __nd = static_cast<__node_pointer>(__nd->__right_);
1899                else
1900                {
1901                    __parent = static_cast<__parent_pointer>(__nd);
1902                    return __nd->__right_;
1903                }
1904            }
1905        }
1906    }
1907    __parent = static_cast<__parent_pointer>(__end_node());
1908    return __parent->__left_;
1909}
1910
1911// Find leaf place to insert closest to __hint
1912// First check prior to __hint.
1913// Next check after __hint.
1914// Next do O(log N) search.
1915// Set __parent to parent of null leaf
1916// Return reference to null leaf
1917template <class _Tp, class _Compare, class _Allocator>
1918typename __tree<_Tp, _Compare, _Allocator>::__node_base_pointer&
1919__tree<_Tp, _Compare, _Allocator>::__find_leaf(const_iterator __hint,
1920                                               __parent_pointer& __parent,
1921                                               const key_type& __v)
1922{
1923    if (__hint == end() || !value_comp()(*__hint, __v))  // check before
1924    {
1925        // __v <= *__hint
1926        const_iterator __prior = __hint;
1927        if (__prior == begin() || !value_comp()(__v, *--__prior))
1928        {
1929            // *prev(__hint) <= __v <= *__hint
1930            if (__hint.__ptr_->__left_ == nullptr)
1931            {
1932                __parent = static_cast<__parent_pointer>(__hint.__ptr_);
1933                return __parent->__left_;
1934            }
1935            else
1936            {
1937                __parent = static_cast<__parent_pointer>(__prior.__ptr_);
1938                return static_cast<__node_base_pointer>(__prior.__ptr_)->__right_;
1939            }
1940        }
1941        // __v < *prev(__hint)
1942        return __find_leaf_high(__parent, __v);
1943    }
1944    // else __v > *__hint
1945    return __find_leaf_low(__parent, __v);
1946}
1947
1948// Find place to insert if __v doesn't exist
1949// Set __parent to parent of null leaf
1950// Return reference to null leaf
1951// If __v exists, set parent to node of __v and return reference to node of __v
1952template <class _Tp, class _Compare, class _Allocator>
1953template <class _Key>
1954typename __tree<_Tp, _Compare, _Allocator>::__node_base_pointer&
1955__tree<_Tp, _Compare, _Allocator>::__find_equal(__parent_pointer& __parent,
1956                                                const _Key& __v)
1957{
1958    __node_pointer __nd = __root();
1959    __node_base_pointer* __nd_ptr = __root_ptr();
1960    if (__nd != nullptr)
1961    {
1962        while (true)
1963        {
1964            if (value_comp()(__v, __nd->__value_))
1965            {
1966                if (__nd->__left_ != nullptr) {
1967                    __nd_ptr = _VSTD::addressof(__nd->__left_);
1968                    __nd = static_cast<__node_pointer>(__nd->__left_);
1969                } else {
1970                    __parent = static_cast<__parent_pointer>(__nd);
1971                    return __parent->__left_;
1972                }
1973            }
1974            else if (value_comp()(__nd->__value_, __v))
1975            {
1976                if (__nd->__right_ != nullptr) {
1977                    __nd_ptr = _VSTD::addressof(__nd->__right_);
1978                    __nd = static_cast<__node_pointer>(__nd->__right_);
1979                } else {
1980                    __parent = static_cast<__parent_pointer>(__nd);
1981                    return __nd->__right_;
1982                }
1983            }
1984            else
1985            {
1986                __parent = static_cast<__parent_pointer>(__nd);
1987                return *__nd_ptr;
1988            }
1989        }
1990    }
1991    __parent = static_cast<__parent_pointer>(__end_node());
1992    return __parent->__left_;
1993}
1994
1995// Find place to insert if __v doesn't exist
1996// First check prior to __hint.
1997// Next check after __hint.
1998// Next do O(log N) search.
1999// Set __parent to parent of null leaf
2000// Return reference to null leaf
2001// If __v exists, set parent to node of __v and return reference to node of __v
2002template <class _Tp, class _Compare, class _Allocator>
2003template <class _Key>
2004typename __tree<_Tp, _Compare, _Allocator>::__node_base_pointer&
2005__tree<_Tp, _Compare, _Allocator>::__find_equal(const_iterator __hint,
2006                                                __parent_pointer& __parent,
2007                                                __node_base_pointer& __dummy,
2008                                                const _Key& __v)
2009{
2010    if (__hint == end() || value_comp()(__v, *__hint))  // check before
2011    {
2012        // __v < *__hint
2013        const_iterator __prior = __hint;
2014        if (__prior == begin() || value_comp()(*--__prior, __v))
2015        {
2016            // *prev(__hint) < __v < *__hint
2017            if (__hint.__ptr_->__left_ == nullptr)
2018            {
2019                __parent = static_cast<__parent_pointer>(__hint.__ptr_);
2020                return __parent->__left_;
2021            }
2022            else
2023            {
2024                __parent = static_cast<__parent_pointer>(__prior.__ptr_);
2025                return static_cast<__node_base_pointer>(__prior.__ptr_)->__right_;
2026            }
2027        }
2028        // __v <= *prev(__hint)
2029        return __find_equal(__parent, __v);
2030    }
2031    else if (value_comp()(*__hint, __v))  // check after
2032    {
2033        // *__hint < __v
2034        const_iterator __next = _VSTD::next(__hint);
2035        if (__next == end() || value_comp()(__v, *__next))
2036        {
2037            // *__hint < __v < *_VSTD::next(__hint)
2038            if (__hint.__get_np()->__right_ == nullptr)
2039            {
2040                __parent = static_cast<__parent_pointer>(__hint.__ptr_);
2041                return static_cast<__node_base_pointer>(__hint.__ptr_)->__right_;
2042            }
2043            else
2044            {
2045                __parent = static_cast<__parent_pointer>(__next.__ptr_);
2046                return __parent->__left_;
2047            }
2048        }
2049        // *next(__hint) <= __v
2050        return __find_equal(__parent, __v);
2051    }
2052    // else __v == *__hint
2053    __parent = static_cast<__parent_pointer>(__hint.__ptr_);
2054    __dummy = static_cast<__node_base_pointer>(__hint.__ptr_);
2055    return __dummy;
2056}
2057
2058template <class _Tp, class _Compare, class _Allocator>
2059void
2060__tree<_Tp, _Compare, _Allocator>::__insert_node_at(__parent_pointer     __parent,
2061                                                    __node_base_pointer& __child,
2062                                                    __node_base_pointer  __new_node)
2063{
2064    __new_node->__left_   = nullptr;
2065    __new_node->__right_  = nullptr;
2066    __new_node->__parent_ = __parent;
2067    // __new_node->__is_black_ is initialized in __tree_balance_after_insert
2068    __child = __new_node;
2069    if (__begin_node()->__left_ != nullptr)
2070        __begin_node() = static_cast<__iter_pointer>(__begin_node()->__left_);
2071    __tree_balance_after_insert(__end_node()->__left_, __child);
2072    ++size();
2073}
2074
2075#ifndef _LIBCPP_CXX03_LANG
2076template <class _Tp, class _Compare, class _Allocator>
2077template <class _Key, class... _Args>
2078pair<typename __tree<_Tp, _Compare, _Allocator>::iterator, bool>
2079__tree<_Tp, _Compare, _Allocator>::__emplace_unique_key_args(_Key const& __k, _Args&&... __args)
2080#else
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#endif
2086{
2087    __parent_pointer __parent;
2088    __node_base_pointer& __child = __find_equal(__parent, __k);
2089    __node_pointer __r = static_cast<__node_pointer>(__child);
2090    bool __inserted = false;
2091    if (__child == nullptr)
2092    {
2093#ifndef _LIBCPP_CXX03_LANG
2094        __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2095#else
2096        __node_holder __h = __construct_node(__args);
2097#endif
2098        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2099        __r = __h.release();
2100        __inserted = true;
2101    }
2102    return pair<iterator, bool>(iterator(__r), __inserted);
2103}
2104
2105
2106#ifndef _LIBCPP_CXX03_LANG
2107template <class _Tp, class _Compare, class _Allocator>
2108template <class _Key, class... _Args>
2109typename __tree<_Tp, _Compare, _Allocator>::iterator
2110__tree<_Tp, _Compare, _Allocator>::__emplace_hint_unique_key_args(
2111    const_iterator __p, _Key const& __k, _Args&&... __args)
2112#else
2113template <class _Tp, class _Compare, class _Allocator>
2114template <class _Key, class _Args>
2115typename __tree<_Tp, _Compare, _Allocator>::iterator
2116__tree<_Tp, _Compare, _Allocator>::__emplace_hint_unique_key_args(
2117    const_iterator __p, _Key const& __k, _Args& __args)
2118#endif
2119{
2120    __parent_pointer __parent;
2121    __node_base_pointer __dummy;
2122    __node_base_pointer& __child = __find_equal(__p, __parent, __dummy, __k);
2123    __node_pointer __r = static_cast<__node_pointer>(__child);
2124    if (__child == nullptr)
2125    {
2126#ifndef _LIBCPP_CXX03_LANG
2127        __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2128#else
2129        __node_holder __h = __construct_node(__args);
2130#endif
2131        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2132        __r = __h.release();
2133    }
2134    return iterator(__r);
2135}
2136
2137
2138#ifndef _LIBCPP_CXX03_LANG
2139
2140template <class _Tp, class _Compare, class _Allocator>
2141template <class ..._Args>
2142typename __tree<_Tp, _Compare, _Allocator>::__node_holder
2143__tree<_Tp, _Compare, _Allocator>::__construct_node(_Args&& ...__args)
2144{
2145    static_assert(!__is_tree_value_type<_Args...>::value,
2146                  "Cannot construct from __value_type");
2147    __node_allocator& __na = __node_alloc();
2148    __node_holder __h(__node_traits::allocate(__na, 1), _Dp(__na));
2149    __node_traits::construct(__na, _NodeTypes::__get_ptr(__h->__value_), _VSTD::forward<_Args>(__args)...);
2150    __h.get_deleter().__value_constructed = true;
2151    return __h;
2152}
2153
2154
2155template <class _Tp, class _Compare, class _Allocator>
2156template <class... _Args>
2157pair<typename __tree<_Tp, _Compare, _Allocator>::iterator, bool>
2158__tree<_Tp, _Compare, _Allocator>::__emplace_unique_impl(_Args&&... __args)
2159{
2160    __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2161    __parent_pointer __parent;
2162    __node_base_pointer& __child = __find_equal(__parent, __h->__value_);
2163    __node_pointer __r = static_cast<__node_pointer>(__child);
2164    bool __inserted = false;
2165    if (__child == nullptr)
2166    {
2167        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2168        __r = __h.release();
2169        __inserted = true;
2170    }
2171    return pair<iterator, bool>(iterator(__r), __inserted);
2172}
2173
2174template <class _Tp, class _Compare, class _Allocator>
2175template <class... _Args>
2176typename __tree<_Tp, _Compare, _Allocator>::iterator
2177__tree<_Tp, _Compare, _Allocator>::__emplace_hint_unique_impl(const_iterator __p, _Args&&... __args)
2178{
2179    __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2180    __parent_pointer __parent;
2181    __node_base_pointer __dummy;
2182    __node_base_pointer& __child = __find_equal(__p, __parent, __dummy, __h->__value_);
2183    __node_pointer __r = static_cast<__node_pointer>(__child);
2184    if (__child == nullptr)
2185    {
2186        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2187        __r = __h.release();
2188    }
2189    return iterator(__r);
2190}
2191
2192template <class _Tp, class _Compare, class _Allocator>
2193template <class... _Args>
2194typename __tree<_Tp, _Compare, _Allocator>::iterator
2195__tree<_Tp, _Compare, _Allocator>::__emplace_multi(_Args&&... __args)
2196{
2197    __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2198    __parent_pointer __parent;
2199    __node_base_pointer& __child = __find_leaf_high(__parent, _NodeTypes::__get_key(__h->__value_));
2200    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2201    return iterator(static_cast<__node_pointer>(__h.release()));
2202}
2203
2204template <class _Tp, class _Compare, class _Allocator>
2205template <class... _Args>
2206typename __tree<_Tp, _Compare, _Allocator>::iterator
2207__tree<_Tp, _Compare, _Allocator>::__emplace_hint_multi(const_iterator __p,
2208                                                        _Args&&... __args)
2209{
2210    __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2211    __parent_pointer __parent;
2212    __node_base_pointer& __child = __find_leaf(__p, __parent, _NodeTypes::__get_key(__h->__value_));
2213    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2214    return iterator(static_cast<__node_pointer>(__h.release()));
2215}
2216
2217
2218#else  // _LIBCPP_CXX03_LANG
2219
2220template <class _Tp, class _Compare, class _Allocator>
2221typename __tree<_Tp, _Compare, _Allocator>::__node_holder
2222__tree<_Tp, _Compare, _Allocator>::__construct_node(const __container_value_type& __v)
2223{
2224    __node_allocator& __na = __node_alloc();
2225    __node_holder __h(__node_traits::allocate(__na, 1), _Dp(__na));
2226    __node_traits::construct(__na, _NodeTypes::__get_ptr(__h->__value_), __v);
2227    __h.get_deleter().__value_constructed = true;
2228    return _LIBCPP_EXPLICIT_MOVE(__h);  // explicitly moved for C++03
2229}
2230
2231#endif  // _LIBCPP_CXX03_LANG
2232
2233#ifdef _LIBCPP_CXX03_LANG
2234template <class _Tp, class _Compare, class _Allocator>
2235typename __tree<_Tp, _Compare, _Allocator>::iterator
2236__tree<_Tp, _Compare, _Allocator>::__insert_multi(const __container_value_type& __v)
2237{
2238    __parent_pointer __parent;
2239    __node_base_pointer& __child = __find_leaf_high(__parent, _NodeTypes::__get_key(__v));
2240    __node_holder __h = __construct_node(__v);
2241    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2242    return iterator(__h.release());
2243}
2244
2245template <class _Tp, class _Compare, class _Allocator>
2246typename __tree<_Tp, _Compare, _Allocator>::iterator
2247__tree<_Tp, _Compare, _Allocator>::__insert_multi(const_iterator __p, const __container_value_type& __v)
2248{
2249    __parent_pointer __parent;
2250    __node_base_pointer& __child = __find_leaf(__p, __parent, _NodeTypes::__get_key(__v));
2251    __node_holder __h = __construct_node(__v);
2252    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2253    return iterator(__h.release());
2254}
2255#endif
2256
2257template <class _Tp, class _Compare, class _Allocator>
2258pair<typename __tree<_Tp, _Compare, _Allocator>::iterator, bool>
2259__tree<_Tp, _Compare, _Allocator>::__node_insert_unique(__node_pointer __nd)
2260{
2261    __parent_pointer __parent;
2262    __node_base_pointer& __child = __find_equal(__parent, __nd->__value_);
2263    __node_pointer __r = static_cast<__node_pointer>(__child);
2264    bool __inserted = false;
2265    if (__child == nullptr)
2266    {
2267        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__nd));
2268        __r = __nd;
2269        __inserted = true;
2270    }
2271    return pair<iterator, bool>(iterator(__r), __inserted);
2272}
2273
2274template <class _Tp, class _Compare, class _Allocator>
2275typename __tree<_Tp, _Compare, _Allocator>::iterator
2276__tree<_Tp, _Compare, _Allocator>::__node_insert_unique(const_iterator __p,
2277                                                        __node_pointer __nd)
2278{
2279    __parent_pointer __parent;
2280    __node_base_pointer __dummy;
2281    __node_base_pointer& __child = __find_equal(__p, __parent, __nd->__value_);
2282    __node_pointer __r = static_cast<__node_pointer>(__child);
2283    if (__child == nullptr)
2284    {
2285        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__nd));
2286        __r = __nd;
2287    }
2288    return iterator(__r);
2289}
2290
2291template <class _Tp, class _Compare, class _Allocator>
2292typename __tree<_Tp, _Compare, _Allocator>::iterator
2293__tree<_Tp, _Compare, _Allocator>::__node_insert_multi(__node_pointer __nd)
2294{
2295    __parent_pointer __parent;
2296    __node_base_pointer& __child = __find_leaf_high(__parent, _NodeTypes::__get_key(__nd->__value_));
2297    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__nd));
2298    return iterator(__nd);
2299}
2300
2301template <class _Tp, class _Compare, class _Allocator>
2302typename __tree<_Tp, _Compare, _Allocator>::iterator
2303__tree<_Tp, _Compare, _Allocator>::__node_insert_multi(const_iterator __p,
2304                                                       __node_pointer __nd)
2305{
2306    __parent_pointer __parent;
2307    __node_base_pointer& __child = __find_leaf(__p, __parent, _NodeTypes::__get_key(__nd->__value_));
2308    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__nd));
2309    return iterator(__nd);
2310}
2311
2312template <class _Tp, class _Compare, class _Allocator>
2313typename __tree<_Tp, _Compare, _Allocator>::iterator
2314__tree<_Tp, _Compare, _Allocator>::erase(const_iterator __p)
2315{
2316    __node_pointer __np = __p.__get_np();
2317    iterator __r(__p.__ptr_);
2318    ++__r;
2319    if (__begin_node() == __p.__ptr_)
2320        __begin_node() = __r.__ptr_;
2321    --size();
2322    __node_allocator& __na = __node_alloc();
2323    __tree_remove(__end_node()->__left_,
2324                  static_cast<__node_base_pointer>(__np));
2325    __node_traits::destroy(__na, _NodeTypes::__get_ptr(
2326        const_cast<__node_value_type&>(*__p)));
2327    __node_traits::deallocate(__na, __np, 1);
2328    return __r;
2329}
2330
2331template <class _Tp, class _Compare, class _Allocator>
2332typename __tree<_Tp, _Compare, _Allocator>::iterator
2333__tree<_Tp, _Compare, _Allocator>::erase(const_iterator __f, const_iterator __l)
2334{
2335    while (__f != __l)
2336        __f = erase(__f);
2337    return iterator(__l.__ptr_);
2338}
2339
2340template <class _Tp, class _Compare, class _Allocator>
2341template <class _Key>
2342typename __tree<_Tp, _Compare, _Allocator>::size_type
2343__tree<_Tp, _Compare, _Allocator>::__erase_unique(const _Key& __k)
2344{
2345    iterator __i = find(__k);
2346    if (__i == end())
2347        return 0;
2348    erase(__i);
2349    return 1;
2350}
2351
2352template <class _Tp, class _Compare, class _Allocator>
2353template <class _Key>
2354typename __tree<_Tp, _Compare, _Allocator>::size_type
2355__tree<_Tp, _Compare, _Allocator>::__erase_multi(const _Key& __k)
2356{
2357    pair<iterator, iterator> __p = __equal_range_multi(__k);
2358    size_type __r = 0;
2359    for (; __p.first != __p.second; ++__r)
2360        __p.first = erase(__p.first);
2361    return __r;
2362}
2363
2364template <class _Tp, class _Compare, class _Allocator>
2365template <class _Key>
2366typename __tree<_Tp, _Compare, _Allocator>::iterator
2367__tree<_Tp, _Compare, _Allocator>::find(const _Key& __v)
2368{
2369    iterator __p = __lower_bound(__v, __root(), __end_node());
2370    if (__p != end() && !value_comp()(__v, *__p))
2371        return __p;
2372    return end();
2373}
2374
2375template <class _Tp, class _Compare, class _Allocator>
2376template <class _Key>
2377typename __tree<_Tp, _Compare, _Allocator>::const_iterator
2378__tree<_Tp, _Compare, _Allocator>::find(const _Key& __v) const
2379{
2380    const_iterator __p = __lower_bound(__v, __root(), __end_node());
2381    if (__p != end() && !value_comp()(__v, *__p))
2382        return __p;
2383    return end();
2384}
2385
2386template <class _Tp, class _Compare, class _Allocator>
2387template <class _Key>
2388typename __tree<_Tp, _Compare, _Allocator>::size_type
2389__tree<_Tp, _Compare, _Allocator>::__count_unique(const _Key& __k) const
2390{
2391    __node_pointer __rt = __root();
2392    while (__rt != nullptr)
2393    {
2394        if (value_comp()(__k, __rt->__value_))
2395        {
2396            __rt = static_cast<__node_pointer>(__rt->__left_);
2397        }
2398        else if (value_comp()(__rt->__value_, __k))
2399            __rt = static_cast<__node_pointer>(__rt->__right_);
2400        else
2401            return 1;
2402    }
2403    return 0;
2404}
2405
2406template <class _Tp, class _Compare, class _Allocator>
2407template <class _Key>
2408typename __tree<_Tp, _Compare, _Allocator>::size_type
2409__tree<_Tp, _Compare, _Allocator>::__count_multi(const _Key& __k) const
2410{
2411    __iter_pointer __result = __end_node();
2412    __node_pointer __rt = __root();
2413    while (__rt != nullptr)
2414    {
2415        if (value_comp()(__k, __rt->__value_))
2416        {
2417            __result = static_cast<__iter_pointer>(__rt);
2418            __rt = static_cast<__node_pointer>(__rt->__left_);
2419        }
2420        else if (value_comp()(__rt->__value_, __k))
2421            __rt = static_cast<__node_pointer>(__rt->__right_);
2422        else
2423            return _VSTD::distance(
2424                __lower_bound(__k, static_cast<__node_pointer>(__rt->__left_), static_cast<__iter_pointer>(__rt)),
2425                __upper_bound(__k, static_cast<__node_pointer>(__rt->__right_), __result)
2426            );
2427    }
2428    return 0;
2429}
2430
2431template <class _Tp, class _Compare, class _Allocator>
2432template <class _Key>
2433typename __tree<_Tp, _Compare, _Allocator>::iterator
2434__tree<_Tp, _Compare, _Allocator>::__lower_bound(const _Key& __v,
2435                                                 __node_pointer __root,
2436                                                 __iter_pointer __result)
2437{
2438    while (__root != nullptr)
2439    {
2440        if (!value_comp()(__root->__value_, __v))
2441        {
2442            __result = static_cast<__iter_pointer>(__root);
2443            __root = static_cast<__node_pointer>(__root->__left_);
2444        }
2445        else
2446            __root = static_cast<__node_pointer>(__root->__right_);
2447    }
2448    return iterator(__result);
2449}
2450
2451template <class _Tp, class _Compare, class _Allocator>
2452template <class _Key>
2453typename __tree<_Tp, _Compare, _Allocator>::const_iterator
2454__tree<_Tp, _Compare, _Allocator>::__lower_bound(const _Key& __v,
2455                                                 __node_pointer __root,
2456                                                 __iter_pointer __result) const
2457{
2458    while (__root != nullptr)
2459    {
2460        if (!value_comp()(__root->__value_, __v))
2461        {
2462            __result = static_cast<__iter_pointer>(__root);
2463            __root = static_cast<__node_pointer>(__root->__left_);
2464        }
2465        else
2466            __root = static_cast<__node_pointer>(__root->__right_);
2467    }
2468    return const_iterator(__result);
2469}
2470
2471template <class _Tp, class _Compare, class _Allocator>
2472template <class _Key>
2473typename __tree<_Tp, _Compare, _Allocator>::iterator
2474__tree<_Tp, _Compare, _Allocator>::__upper_bound(const _Key& __v,
2475                                                 __node_pointer __root,
2476                                                 __iter_pointer __result)
2477{
2478    while (__root != nullptr)
2479    {
2480        if (value_comp()(__v, __root->__value_))
2481        {
2482            __result = static_cast<__iter_pointer>(__root);
2483            __root = static_cast<__node_pointer>(__root->__left_);
2484        }
2485        else
2486            __root = static_cast<__node_pointer>(__root->__right_);
2487    }
2488    return iterator(__result);
2489}
2490
2491template <class _Tp, class _Compare, class _Allocator>
2492template <class _Key>
2493typename __tree<_Tp, _Compare, _Allocator>::const_iterator
2494__tree<_Tp, _Compare, _Allocator>::__upper_bound(const _Key& __v,
2495                                                 __node_pointer __root,
2496                                                 __iter_pointer __result) const
2497{
2498    while (__root != nullptr)
2499    {
2500        if (value_comp()(__v, __root->__value_))
2501        {
2502            __result = static_cast<__iter_pointer>(__root);
2503            __root = static_cast<__node_pointer>(__root->__left_);
2504        }
2505        else
2506            __root = static_cast<__node_pointer>(__root->__right_);
2507    }
2508    return const_iterator(__result);
2509}
2510
2511template <class _Tp, class _Compare, class _Allocator>
2512template <class _Key>
2513pair<typename __tree<_Tp, _Compare, _Allocator>::iterator,
2514     typename __tree<_Tp, _Compare, _Allocator>::iterator>
2515__tree<_Tp, _Compare, _Allocator>::__equal_range_unique(const _Key& __k)
2516{
2517    typedef pair<iterator, iterator> _Pp;
2518    __iter_pointer __result = __end_node();
2519    __node_pointer __rt = __root();
2520    while (__rt != nullptr)
2521    {
2522        if (value_comp()(__k, __rt->__value_))
2523        {
2524            __result = static_cast<__iter_pointer>(__rt);
2525            __rt = static_cast<__node_pointer>(__rt->__left_);
2526        }
2527        else if (value_comp()(__rt->__value_, __k))
2528            __rt = static_cast<__node_pointer>(__rt->__right_);
2529        else
2530            return _Pp(iterator(__rt),
2531                      iterator(
2532                          __rt->__right_ != nullptr ?
2533                              static_cast<__iter_pointer>(__tree_min(__rt->__right_))
2534                            : __result));
2535    }
2536    return _Pp(iterator(__result), iterator(__result));
2537}
2538
2539template <class _Tp, class _Compare, class _Allocator>
2540template <class _Key>
2541pair<typename __tree<_Tp, _Compare, _Allocator>::const_iterator,
2542     typename __tree<_Tp, _Compare, _Allocator>::const_iterator>
2543__tree<_Tp, _Compare, _Allocator>::__equal_range_unique(const _Key& __k) const
2544{
2545    typedef pair<const_iterator, const_iterator> _Pp;
2546    __iter_pointer __result = __end_node();
2547    __node_pointer __rt = __root();
2548    while (__rt != nullptr)
2549    {
2550        if (value_comp()(__k, __rt->__value_))
2551        {
2552            __result = static_cast<__iter_pointer>(__rt);
2553            __rt = static_cast<__node_pointer>(__rt->__left_);
2554        }
2555        else if (value_comp()(__rt->__value_, __k))
2556            __rt = static_cast<__node_pointer>(__rt->__right_);
2557        else
2558            return _Pp(const_iterator(__rt),
2559                      const_iterator(
2560                          __rt->__right_ != nullptr ?
2561                              static_cast<__iter_pointer>(__tree_min(__rt->__right_))
2562                            : __result));
2563    }
2564    return _Pp(const_iterator(__result), const_iterator(__result));
2565}
2566
2567template <class _Tp, class _Compare, class _Allocator>
2568template <class _Key>
2569pair<typename __tree<_Tp, _Compare, _Allocator>::iterator,
2570     typename __tree<_Tp, _Compare, _Allocator>::iterator>
2571__tree<_Tp, _Compare, _Allocator>::__equal_range_multi(const _Key& __k)
2572{
2573    typedef pair<iterator, iterator> _Pp;
2574    __iter_pointer __result = __end_node();
2575    __node_pointer __rt = __root();
2576    while (__rt != nullptr)
2577    {
2578        if (value_comp()(__k, __rt->__value_))
2579        {
2580            __result = static_cast<__iter_pointer>(__rt);
2581            __rt = static_cast<__node_pointer>(__rt->__left_);
2582        }
2583        else if (value_comp()(__rt->__value_, __k))
2584            __rt = static_cast<__node_pointer>(__rt->__right_);
2585        else
2586            return _Pp(__lower_bound(__k, static_cast<__node_pointer>(__rt->__left_), static_cast<__iter_pointer>(__rt)),
2587                      __upper_bound(__k, static_cast<__node_pointer>(__rt->__right_), __result));
2588    }
2589    return _Pp(iterator(__result), iterator(__result));
2590}
2591
2592template <class _Tp, class _Compare, class _Allocator>
2593template <class _Key>
2594pair<typename __tree<_Tp, _Compare, _Allocator>::const_iterator,
2595     typename __tree<_Tp, _Compare, _Allocator>::const_iterator>
2596__tree<_Tp, _Compare, _Allocator>::__equal_range_multi(const _Key& __k) const
2597{
2598    typedef pair<const_iterator, const_iterator> _Pp;
2599    __iter_pointer __result = __end_node();
2600    __node_pointer __rt = __root();
2601    while (__rt != nullptr)
2602    {
2603        if (value_comp()(__k, __rt->__value_))
2604        {
2605            __result = static_cast<__iter_pointer>(__rt);
2606            __rt = static_cast<__node_pointer>(__rt->__left_);
2607        }
2608        else if (value_comp()(__rt->__value_, __k))
2609            __rt = static_cast<__node_pointer>(__rt->__right_);
2610        else
2611            return _Pp(__lower_bound(__k, static_cast<__node_pointer>(__rt->__left_), static_cast<__iter_pointer>(__rt)),
2612                      __upper_bound(__k, static_cast<__node_pointer>(__rt->__right_), __result));
2613    }
2614    return _Pp(const_iterator(__result), const_iterator(__result));
2615}
2616
2617template <class _Tp, class _Compare, class _Allocator>
2618typename __tree<_Tp, _Compare, _Allocator>::__node_holder
2619__tree<_Tp, _Compare, _Allocator>::remove(const_iterator __p) _NOEXCEPT
2620{
2621    __node_pointer __np = __p.__get_np();
2622    if (__begin_node() == __p.__ptr_)
2623    {
2624        if (__np->__right_ != nullptr)
2625            __begin_node() = static_cast<__iter_pointer>(__np->__right_);
2626        else
2627            __begin_node() = static_cast<__iter_pointer>(__np->__parent_);
2628    }
2629    --size();
2630    __tree_remove(__end_node()->__left_,
2631                  static_cast<__node_base_pointer>(__np));
2632    return __node_holder(__np, _Dp(__node_alloc(), true));
2633}
2634
2635template <class _Tp, class _Compare, class _Allocator>
2636inline _LIBCPP_INLINE_VISIBILITY
2637void
2638swap(__tree<_Tp, _Compare, _Allocator>& __x,
2639     __tree<_Tp, _Compare, _Allocator>& __y)
2640    _NOEXCEPT_(_NOEXCEPT_(__x.swap(__y)))
2641{
2642    __x.swap(__y);
2643}
2644
2645_LIBCPP_END_NAMESPACE_STD
2646
2647#endif  // _LIBCPP___TREE
2648