xref: /llvm-project-15.0.7/libcxx/include/__tree (revision 052d95a6)
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_TEMPLATE_VIS __tree_iterator;
29template <class _Tp, class _ConstNodePtr, class _DiffType>
30    class _LIBCPP_TEMPLATE_VIS __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_TEMPLATE_VIS __map_iterator;
46template <class _TreeIterator> class _LIBCPP_TEMPLATE_VIS __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_TEMPLATE_VIS __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_TEMPLATE_VIS __tree_const_iterator;
865    template <class> friend class _LIBCPP_TEMPLATE_VIS __map_iterator;
866    template <class, class, class, class> friend class _LIBCPP_TEMPLATE_VIS map;
867    template <class, class, class, class> friend class _LIBCPP_TEMPLATE_VIS multimap;
868    template <class, class, class> friend class _LIBCPP_TEMPLATE_VIS set;
869    template <class, class, class> friend class _LIBCPP_TEMPLATE_VIS multiset;
870};
871
872template <class _Tp, class _NodePtr, class _DiffType>
873class _LIBCPP_TEMPLATE_VIS __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_TEMPLATE_VIS map;
951    template <class, class, class, class> friend class _LIBCPP_TEMPLATE_VIS multimap;
952    template <class, class, class> friend class _LIBCPP_TEMPLATE_VIS set;
953    template <class, class, class> friend class _LIBCPP_TEMPLATE_VIS multiset;
954    template <class> friend class _LIBCPP_TEMPLATE_VIS __map_const_iterator;
955
956};
957
958template <class _Tp, class _Compare, class _Allocator>
959class __tree
960{
961public:
962    typedef _Tp                                      value_type;
963    typedef _Compare                                 value_compare;
964    typedef _Allocator                               allocator_type;
965
966private:
967    typedef allocator_traits<allocator_type>         __alloc_traits;
968    typedef typename __make_tree_node_types<value_type,
969        typename __alloc_traits::void_pointer>::type
970                                                    _NodeTypes;
971    typedef typename _NodeTypes::key_type           key_type;
972public:
973    typedef typename _NodeTypes::__node_value_type      __node_value_type;
974    typedef typename _NodeTypes::__container_value_type __container_value_type;
975
976    typedef typename __alloc_traits::pointer         pointer;
977    typedef typename __alloc_traits::const_pointer   const_pointer;
978    typedef typename __alloc_traits::size_type       size_type;
979    typedef typename __alloc_traits::difference_type difference_type;
980
981public:
982    typedef typename _NodeTypes::__void_pointer        __void_pointer;
983
984    typedef typename _NodeTypes::__node_type           __node;
985    typedef typename _NodeTypes::__node_pointer        __node_pointer;
986
987    typedef typename _NodeTypes::__node_base_type      __node_base;
988    typedef typename _NodeTypes::__node_base_pointer   __node_base_pointer;
989
990    typedef typename _NodeTypes::__end_node_type       __end_node_t;
991    typedef typename _NodeTypes::__end_node_pointer    __end_node_ptr;
992
993    typedef typename _NodeTypes::__parent_pointer      __parent_pointer;
994    typedef typename _NodeTypes::__iter_pointer        __iter_pointer;
995
996    typedef typename __rebind_alloc_helper<__alloc_traits, __node>::type __node_allocator;
997    typedef allocator_traits<__node_allocator>         __node_traits;
998
999private:
1000    // check for sane allocator pointer rebinding semantics. Rebinding the
1001    // allocator for a new pointer type should be exactly the same as rebinding
1002    // the pointer using 'pointer_traits'.
1003    static_assert((is_same<__node_pointer, typename __node_traits::pointer>::value),
1004                  "Allocator does not rebind pointers in a sane manner.");
1005    typedef typename __rebind_alloc_helper<__node_traits, __node_base>::type
1006        __node_base_allocator;
1007    typedef allocator_traits<__node_base_allocator> __node_base_traits;
1008    static_assert((is_same<__node_base_pointer, typename __node_base_traits::pointer>::value),
1009                 "Allocator does not rebind pointers in a sane manner.");
1010
1011private:
1012    __iter_pointer                                     __begin_node_;
1013    __compressed_pair<__end_node_t, __node_allocator>  __pair1_;
1014    __compressed_pair<size_type, value_compare>        __pair3_;
1015
1016public:
1017    _LIBCPP_INLINE_VISIBILITY
1018    __iter_pointer __end_node() _NOEXCEPT
1019    {
1020        return static_cast<__iter_pointer>(
1021                pointer_traits<__end_node_ptr>::pointer_to(__pair1_.first())
1022        );
1023    }
1024    _LIBCPP_INLINE_VISIBILITY
1025    __iter_pointer __end_node() const _NOEXCEPT
1026    {
1027        return static_cast<__iter_pointer>(
1028            pointer_traits<__end_node_ptr>::pointer_to(
1029                const_cast<__end_node_t&>(__pair1_.first())
1030            )
1031        );
1032    }
1033    _LIBCPP_INLINE_VISIBILITY
1034          __node_allocator& __node_alloc() _NOEXCEPT {return __pair1_.second();}
1035private:
1036    _LIBCPP_INLINE_VISIBILITY
1037    const __node_allocator& __node_alloc() const _NOEXCEPT
1038        {return __pair1_.second();}
1039    _LIBCPP_INLINE_VISIBILITY
1040          __iter_pointer& __begin_node() _NOEXCEPT {return __begin_node_;}
1041    _LIBCPP_INLINE_VISIBILITY
1042    const __iter_pointer& __begin_node() const _NOEXCEPT {return __begin_node_;}
1043public:
1044    _LIBCPP_INLINE_VISIBILITY
1045    allocator_type __alloc() const _NOEXCEPT
1046        {return allocator_type(__node_alloc());}
1047private:
1048    _LIBCPP_INLINE_VISIBILITY
1049          size_type& size() _NOEXCEPT {return __pair3_.first();}
1050public:
1051    _LIBCPP_INLINE_VISIBILITY
1052    const size_type& size() const _NOEXCEPT {return __pair3_.first();}
1053    _LIBCPP_INLINE_VISIBILITY
1054          value_compare& value_comp() _NOEXCEPT {return __pair3_.second();}
1055    _LIBCPP_INLINE_VISIBILITY
1056    const value_compare& value_comp() const _NOEXCEPT
1057        {return __pair3_.second();}
1058public:
1059
1060    _LIBCPP_INLINE_VISIBILITY
1061    __node_pointer __root() const _NOEXCEPT
1062        {return static_cast<__node_pointer>(__end_node()->__left_);}
1063
1064    __node_base_pointer* __root_ptr() const _NOEXCEPT {
1065        return _VSTD::addressof(__end_node()->__left_);
1066    }
1067
1068    typedef __tree_iterator<value_type, __node_pointer, difference_type>             iterator;
1069    typedef __tree_const_iterator<value_type, __node_pointer, difference_type> const_iterator;
1070
1071    explicit __tree(const value_compare& __comp)
1072        _NOEXCEPT_(
1073            is_nothrow_default_constructible<__node_allocator>::value &&
1074            is_nothrow_copy_constructible<value_compare>::value);
1075    explicit __tree(const allocator_type& __a);
1076    __tree(const value_compare& __comp, const allocator_type& __a);
1077    __tree(const __tree& __t);
1078    __tree& operator=(const __tree& __t);
1079    template <class _InputIterator>
1080        void __assign_unique(_InputIterator __first, _InputIterator __last);
1081    template <class _InputIterator>
1082        void __assign_multi(_InputIterator __first, _InputIterator __last);
1083#ifndef _LIBCPP_HAS_NO_RVALUE_REFERENCES
1084    __tree(__tree&& __t)
1085        _NOEXCEPT_(
1086            is_nothrow_move_constructible<__node_allocator>::value &&
1087            is_nothrow_move_constructible<value_compare>::value);
1088    __tree(__tree&& __t, const allocator_type& __a);
1089    __tree& operator=(__tree&& __t)
1090        _NOEXCEPT_(
1091            __node_traits::propagate_on_container_move_assignment::value &&
1092            is_nothrow_move_assignable<value_compare>::value &&
1093            is_nothrow_move_assignable<__node_allocator>::value);
1094#endif  // _LIBCPP_HAS_NO_RVALUE_REFERENCES
1095
1096    ~__tree();
1097
1098    _LIBCPP_INLINE_VISIBILITY
1099          iterator begin()  _NOEXCEPT {return       iterator(__begin_node());}
1100    _LIBCPP_INLINE_VISIBILITY
1101    const_iterator begin() const _NOEXCEPT {return const_iterator(__begin_node());}
1102    _LIBCPP_INLINE_VISIBILITY
1103          iterator end() _NOEXCEPT {return       iterator(__end_node());}
1104    _LIBCPP_INLINE_VISIBILITY
1105    const_iterator end() const _NOEXCEPT {return const_iterator(__end_node());}
1106
1107    _LIBCPP_INLINE_VISIBILITY
1108    size_type max_size() const _NOEXCEPT
1109        {return std::min<size_type>(
1110                __node_traits::max_size(__node_alloc()),
1111                numeric_limits<difference_type >::max());}
1112
1113    void clear() _NOEXCEPT;
1114
1115    void swap(__tree& __t)
1116#if _LIBCPP_STD_VER <= 11
1117        _NOEXCEPT_(
1118            __is_nothrow_swappable<value_compare>::value
1119            && (!__node_traits::propagate_on_container_swap::value ||
1120                 __is_nothrow_swappable<__node_allocator>::value)
1121            );
1122#else
1123        _NOEXCEPT_(__is_nothrow_swappable<value_compare>::value);
1124#endif
1125
1126#ifndef _LIBCPP_CXX03_LANG
1127    template <class _Key, class ..._Args>
1128    pair<iterator, bool>
1129    __emplace_unique_key_args(_Key const&, _Args&&... __args);
1130    template <class _Key, class ..._Args>
1131    iterator
1132    __emplace_hint_unique_key_args(const_iterator, _Key const&, _Args&&...);
1133
1134    template <class... _Args>
1135    pair<iterator, bool> __emplace_unique_impl(_Args&&... __args);
1136
1137    template <class... _Args>
1138    iterator __emplace_hint_unique_impl(const_iterator __p, _Args&&... __args);
1139
1140    template <class... _Args>
1141    iterator __emplace_multi(_Args&&... __args);
1142
1143    template <class... _Args>
1144    iterator __emplace_hint_multi(const_iterator __p, _Args&&... __args);
1145
1146    template <class _Pp>
1147    _LIBCPP_INLINE_VISIBILITY
1148    pair<iterator, bool> __emplace_unique(_Pp&& __x) {
1149        return __emplace_unique_extract_key(_VSTD::forward<_Pp>(__x),
1150                                            __can_extract_key<_Pp, key_type>());
1151    }
1152
1153    template <class _First, class _Second>
1154    _LIBCPP_INLINE_VISIBILITY
1155    typename enable_if<
1156        __can_extract_map_key<_First, key_type, __container_value_type>::value,
1157        pair<iterator, bool>
1158    >::type __emplace_unique(_First&& __f, _Second&& __s) {
1159        return __emplace_unique_key_args(__f, _VSTD::forward<_First>(__f),
1160                                              _VSTD::forward<_Second>(__s));
1161    }
1162
1163    template <class... _Args>
1164    _LIBCPP_INLINE_VISIBILITY
1165    pair<iterator, bool> __emplace_unique(_Args&&... __args) {
1166        return __emplace_unique_impl(_VSTD::forward<_Args>(__args)...);
1167    }
1168
1169    template <class _Pp>
1170    _LIBCPP_INLINE_VISIBILITY
1171    pair<iterator, bool>
1172    __emplace_unique_extract_key(_Pp&& __x, __extract_key_fail_tag) {
1173      return __emplace_unique_impl(_VSTD::forward<_Pp>(__x));
1174    }
1175
1176    template <class _Pp>
1177    _LIBCPP_INLINE_VISIBILITY
1178    pair<iterator, bool>
1179    __emplace_unique_extract_key(_Pp&& __x, __extract_key_self_tag) {
1180      return __emplace_unique_key_args(__x, _VSTD::forward<_Pp>(__x));
1181    }
1182
1183    template <class _Pp>
1184    _LIBCPP_INLINE_VISIBILITY
1185    pair<iterator, bool>
1186    __emplace_unique_extract_key(_Pp&& __x, __extract_key_first_tag) {
1187      return __emplace_unique_key_args(__x.first, _VSTD::forward<_Pp>(__x));
1188    }
1189
1190    template <class _Pp>
1191    _LIBCPP_INLINE_VISIBILITY
1192    iterator __emplace_hint_unique(const_iterator __p, _Pp&& __x) {
1193        return __emplace_hint_unique_extract_key(__p, _VSTD::forward<_Pp>(__x),
1194                                            __can_extract_key<_Pp, key_type>());
1195    }
1196
1197    template <class _First, class _Second>
1198    _LIBCPP_INLINE_VISIBILITY
1199    typename enable_if<
1200        __can_extract_map_key<_First, key_type, __container_value_type>::value,
1201        iterator
1202    >::type __emplace_hint_unique(const_iterator __p, _First&& __f, _Second&& __s) {
1203        return __emplace_hint_unique_key_args(__p, __f,
1204                                              _VSTD::forward<_First>(__f),
1205                                              _VSTD::forward<_Second>(__s));
1206    }
1207
1208    template <class... _Args>
1209    _LIBCPP_INLINE_VISIBILITY
1210    iterator __emplace_hint_unique(const_iterator __p, _Args&&... __args) {
1211        return __emplace_hint_unique_impl(__p, _VSTD::forward<_Args>(__args)...);
1212    }
1213
1214    template <class _Pp>
1215    _LIBCPP_INLINE_VISIBILITY
1216    iterator
1217    __emplace_hint_unique_extract_key(const_iterator __p, _Pp&& __x, __extract_key_fail_tag) {
1218      return __emplace_hint_unique_impl(__p, _VSTD::forward<_Pp>(__x));
1219    }
1220
1221    template <class _Pp>
1222    _LIBCPP_INLINE_VISIBILITY
1223    iterator
1224    __emplace_hint_unique_extract_key(const_iterator __p, _Pp&& __x, __extract_key_self_tag) {
1225      return __emplace_hint_unique_key_args(__p, __x, _VSTD::forward<_Pp>(__x));
1226    }
1227
1228    template <class _Pp>
1229    _LIBCPP_INLINE_VISIBILITY
1230    iterator
1231    __emplace_hint_unique_extract_key(const_iterator __p, _Pp&& __x, __extract_key_first_tag) {
1232      return __emplace_hint_unique_key_args(__p, __x.first, _VSTD::forward<_Pp>(__x));
1233    }
1234
1235#else
1236    template <class _Key, class _Args>
1237    _LIBCPP_INLINE_VISIBILITY
1238    pair<iterator, bool> __emplace_unique_key_args(_Key const&, _Args& __args);
1239    template <class _Key, class _Args>
1240    _LIBCPP_INLINE_VISIBILITY
1241    iterator __emplace_hint_unique_key_args(const_iterator, _Key const&, _Args&);
1242#endif
1243
1244    _LIBCPP_INLINE_VISIBILITY
1245    pair<iterator, bool> __insert_unique(const __container_value_type& __v) {
1246        return __emplace_unique_key_args(_NodeTypes::__get_key(__v), __v);
1247    }
1248
1249    _LIBCPP_INLINE_VISIBILITY
1250    iterator __insert_unique(const_iterator __p, const __container_value_type& __v) {
1251        return __emplace_hint_unique_key_args(__p, _NodeTypes::__get_key(__v), __v);
1252    }
1253
1254#ifdef _LIBCPP_CXX03_LANG
1255    _LIBCPP_INLINE_VISIBILITY
1256    iterator __insert_multi(const __container_value_type& __v);
1257    _LIBCPP_INLINE_VISIBILITY
1258    iterator __insert_multi(const_iterator __p, const __container_value_type& __v);
1259#else
1260    _LIBCPP_INLINE_VISIBILITY
1261    pair<iterator, bool> __insert_unique(__container_value_type&& __v) {
1262        return __emplace_unique_key_args(_NodeTypes::__get_key(__v), _VSTD::move(__v));
1263    }
1264
1265    _LIBCPP_INLINE_VISIBILITY
1266    iterator __insert_unique(const_iterator __p, __container_value_type&& __v) {
1267        return __emplace_hint_unique_key_args(__p, _NodeTypes::__get_key(__v), _VSTD::move(__v));
1268    }
1269
1270    template <class _Vp, class = typename enable_if<
1271            !is_same<typename __unconstref<_Vp>::type,
1272                     __container_value_type
1273            >::value
1274        >::type>
1275    _LIBCPP_INLINE_VISIBILITY
1276    pair<iterator, bool> __insert_unique(_Vp&& __v) {
1277        return __emplace_unique(_VSTD::forward<_Vp>(__v));
1278    }
1279
1280    template <class _Vp, class = typename enable_if<
1281            !is_same<typename __unconstref<_Vp>::type,
1282                     __container_value_type
1283            >::value
1284        >::type>
1285    _LIBCPP_INLINE_VISIBILITY
1286    iterator __insert_unique(const_iterator __p, _Vp&& __v) {
1287        return __emplace_hint_unique(__p, _VSTD::forward<_Vp>(__v));
1288    }
1289
1290    _LIBCPP_INLINE_VISIBILITY
1291    iterator __insert_multi(__container_value_type&& __v) {
1292        return __emplace_multi(_VSTD::move(__v));
1293    }
1294
1295    _LIBCPP_INLINE_VISIBILITY
1296    iterator __insert_multi(const_iterator __p, __container_value_type&& __v) {
1297        return __emplace_hint_multi(__p, _VSTD::move(__v));
1298    }
1299
1300    template <class _Vp>
1301    _LIBCPP_INLINE_VISIBILITY
1302    iterator __insert_multi(_Vp&& __v) {
1303        return __emplace_multi(_VSTD::forward<_Vp>(__v));
1304    }
1305
1306    template <class _Vp>
1307    _LIBCPP_INLINE_VISIBILITY
1308    iterator __insert_multi(const_iterator __p, _Vp&& __v) {
1309        return __emplace_hint_multi(__p, _VSTD::forward<_Vp>(__v));
1310    }
1311
1312#endif // !_LIBCPP_CXX03_LANG
1313
1314    pair<iterator, bool> __node_insert_unique(__node_pointer __nd);
1315    iterator             __node_insert_unique(const_iterator __p,
1316                                              __node_pointer __nd);
1317
1318    iterator __node_insert_multi(__node_pointer __nd);
1319    iterator __node_insert_multi(const_iterator __p, __node_pointer __nd);
1320
1321    iterator erase(const_iterator __p);
1322    iterator erase(const_iterator __f, const_iterator __l);
1323    template <class _Key>
1324        size_type __erase_unique(const _Key& __k);
1325    template <class _Key>
1326        size_type __erase_multi(const _Key& __k);
1327
1328    void __insert_node_at(__parent_pointer     __parent,
1329                          __node_base_pointer& __child,
1330                          __node_base_pointer __new_node);
1331
1332    template <class _Key>
1333        iterator find(const _Key& __v);
1334    template <class _Key>
1335        const_iterator find(const _Key& __v) const;
1336
1337    template <class _Key>
1338        size_type __count_unique(const _Key& __k) const;
1339    template <class _Key>
1340        size_type __count_multi(const _Key& __k) const;
1341
1342    template <class _Key>
1343        _LIBCPP_INLINE_VISIBILITY
1344        iterator lower_bound(const _Key& __v)
1345            {return __lower_bound(__v, __root(), __end_node());}
1346    template <class _Key>
1347        iterator __lower_bound(const _Key& __v,
1348                               __node_pointer __root,
1349                               __iter_pointer __result);
1350    template <class _Key>
1351        _LIBCPP_INLINE_VISIBILITY
1352        const_iterator lower_bound(const _Key& __v) const
1353            {return __lower_bound(__v, __root(), __end_node());}
1354    template <class _Key>
1355        const_iterator __lower_bound(const _Key& __v,
1356                                     __node_pointer __root,
1357                                     __iter_pointer __result) const;
1358    template <class _Key>
1359        _LIBCPP_INLINE_VISIBILITY
1360        iterator upper_bound(const _Key& __v)
1361            {return __upper_bound(__v, __root(), __end_node());}
1362    template <class _Key>
1363        iterator __upper_bound(const _Key& __v,
1364                               __node_pointer __root,
1365                               __iter_pointer __result);
1366    template <class _Key>
1367        _LIBCPP_INLINE_VISIBILITY
1368        const_iterator upper_bound(const _Key& __v) const
1369            {return __upper_bound(__v, __root(), __end_node());}
1370    template <class _Key>
1371        const_iterator __upper_bound(const _Key& __v,
1372                                     __node_pointer __root,
1373                                     __iter_pointer __result) const;
1374    template <class _Key>
1375        pair<iterator, iterator>
1376        __equal_range_unique(const _Key& __k);
1377    template <class _Key>
1378        pair<const_iterator, const_iterator>
1379        __equal_range_unique(const _Key& __k) const;
1380
1381    template <class _Key>
1382        pair<iterator, iterator>
1383        __equal_range_multi(const _Key& __k);
1384    template <class _Key>
1385        pair<const_iterator, const_iterator>
1386        __equal_range_multi(const _Key& __k) const;
1387
1388    typedef __tree_node_destructor<__node_allocator> _Dp;
1389    typedef unique_ptr<__node, _Dp> __node_holder;
1390
1391    __node_holder remove(const_iterator __p) _NOEXCEPT;
1392private:
1393    __node_base_pointer&
1394        __find_leaf_low(__parent_pointer& __parent, const key_type& __v);
1395    __node_base_pointer&
1396        __find_leaf_high(__parent_pointer& __parent, const key_type& __v);
1397    __node_base_pointer&
1398        __find_leaf(const_iterator __hint,
1399                    __parent_pointer& __parent, const key_type& __v);
1400    // FIXME: Make this function const qualified. Unfortunetly doing so
1401    // breaks existing code which uses non-const callable comparators.
1402    template <class _Key>
1403    __node_base_pointer&
1404        __find_equal(__parent_pointer& __parent, const _Key& __v);
1405    template <class _Key>
1406    _LIBCPP_INLINE_VISIBILITY __node_base_pointer&
1407    __find_equal(__parent_pointer& __parent, const _Key& __v) const {
1408      return const_cast<__tree*>(this)->__find_equal(__parent, __v);
1409    }
1410    template <class _Key>
1411    __node_base_pointer&
1412        __find_equal(const_iterator __hint, __parent_pointer& __parent,
1413                     __node_base_pointer& __dummy,
1414                     const _Key& __v);
1415
1416#ifndef _LIBCPP_CXX03_LANG
1417    template <class ..._Args>
1418    __node_holder __construct_node(_Args&& ...__args);
1419#else
1420    __node_holder __construct_node(const __container_value_type& __v);
1421#endif
1422
1423    void destroy(__node_pointer __nd) _NOEXCEPT;
1424
1425    _LIBCPP_INLINE_VISIBILITY
1426    void __copy_assign_alloc(const __tree& __t)
1427        {__copy_assign_alloc(__t, integral_constant<bool,
1428             __node_traits::propagate_on_container_copy_assignment::value>());}
1429
1430    _LIBCPP_INLINE_VISIBILITY
1431    void __copy_assign_alloc(const __tree& __t, true_type)
1432        {
1433        if (__node_alloc() != __t.__node_alloc())
1434        	clear();
1435        __node_alloc() = __t.__node_alloc();
1436        }
1437    _LIBCPP_INLINE_VISIBILITY
1438    void __copy_assign_alloc(const __tree&, false_type) {}
1439
1440    void __move_assign(__tree& __t, false_type);
1441    void __move_assign(__tree& __t, true_type)
1442        _NOEXCEPT_(is_nothrow_move_assignable<value_compare>::value &&
1443                   is_nothrow_move_assignable<__node_allocator>::value);
1444
1445    _LIBCPP_INLINE_VISIBILITY
1446    void __move_assign_alloc(__tree& __t)
1447        _NOEXCEPT_(
1448            !__node_traits::propagate_on_container_move_assignment::value ||
1449            is_nothrow_move_assignable<__node_allocator>::value)
1450        {__move_assign_alloc(__t, integral_constant<bool,
1451             __node_traits::propagate_on_container_move_assignment::value>());}
1452
1453    _LIBCPP_INLINE_VISIBILITY
1454    void __move_assign_alloc(__tree& __t, true_type)
1455        _NOEXCEPT_(is_nothrow_move_assignable<__node_allocator>::value)
1456        {__node_alloc() = _VSTD::move(__t.__node_alloc());}
1457    _LIBCPP_INLINE_VISIBILITY
1458    void __move_assign_alloc(__tree&, false_type) _NOEXCEPT {}
1459
1460    __node_pointer __detach();
1461    static __node_pointer __detach(__node_pointer);
1462
1463    template <class, class, class, class> friend class _LIBCPP_TEMPLATE_VIS map;
1464    template <class, class, class, class> friend class _LIBCPP_TEMPLATE_VIS multimap;
1465};
1466
1467template <class _Tp, class _Compare, class _Allocator>
1468__tree<_Tp, _Compare, _Allocator>::__tree(const value_compare& __comp)
1469        _NOEXCEPT_(
1470            is_nothrow_default_constructible<__node_allocator>::value &&
1471            is_nothrow_copy_constructible<value_compare>::value)
1472    : __pair3_(0, __comp)
1473{
1474    __begin_node() = __end_node();
1475}
1476
1477template <class _Tp, class _Compare, class _Allocator>
1478__tree<_Tp, _Compare, _Allocator>::__tree(const allocator_type& __a)
1479    : __begin_node_(__iter_pointer()),
1480      __pair1_(__node_allocator(__a)),
1481      __pair3_(0)
1482{
1483    __begin_node() = __end_node();
1484}
1485
1486template <class _Tp, class _Compare, class _Allocator>
1487__tree<_Tp, _Compare, _Allocator>::__tree(const value_compare& __comp,
1488                                           const allocator_type& __a)
1489    : __begin_node_(__iter_pointer()),
1490      __pair1_(__node_allocator(__a)),
1491      __pair3_(0, __comp)
1492{
1493    __begin_node() = __end_node();
1494}
1495
1496// Precondition:  size() != 0
1497template <class _Tp, class _Compare, class _Allocator>
1498typename __tree<_Tp, _Compare, _Allocator>::__node_pointer
1499__tree<_Tp, _Compare, _Allocator>::__detach()
1500{
1501    __node_pointer __cache = static_cast<__node_pointer>(__begin_node());
1502    __begin_node() = __end_node();
1503    __end_node()->__left_->__parent_ = nullptr;
1504    __end_node()->__left_ = nullptr;
1505    size() = 0;
1506    // __cache->__left_ == nullptr
1507    if (__cache->__right_ != nullptr)
1508        __cache = static_cast<__node_pointer>(__cache->__right_);
1509    // __cache->__left_ == nullptr
1510    // __cache->__right_ == nullptr
1511    return __cache;
1512}
1513
1514// Precondition:  __cache != nullptr
1515//    __cache->left_ == nullptr
1516//    __cache->right_ == nullptr
1517//    This is no longer a red-black tree
1518template <class _Tp, class _Compare, class _Allocator>
1519typename __tree<_Tp, _Compare, _Allocator>::__node_pointer
1520__tree<_Tp, _Compare, _Allocator>::__detach(__node_pointer __cache)
1521{
1522    if (__cache->__parent_ == nullptr)
1523        return nullptr;
1524    if (__tree_is_left_child(static_cast<__node_base_pointer>(__cache)))
1525    {
1526        __cache->__parent_->__left_ = nullptr;
1527        __cache = static_cast<__node_pointer>(__cache->__parent_);
1528        if (__cache->__right_ == nullptr)
1529            return __cache;
1530        return static_cast<__node_pointer>(__tree_leaf(__cache->__right_));
1531    }
1532    // __cache is right child
1533    __cache->__parent_unsafe()->__right_ = nullptr;
1534    __cache = static_cast<__node_pointer>(__cache->__parent_);
1535    if (__cache->__left_ == nullptr)
1536        return __cache;
1537    return static_cast<__node_pointer>(__tree_leaf(__cache->__left_));
1538}
1539
1540template <class _Tp, class _Compare, class _Allocator>
1541__tree<_Tp, _Compare, _Allocator>&
1542__tree<_Tp, _Compare, _Allocator>::operator=(const __tree& __t)
1543{
1544    if (this != &__t)
1545    {
1546        value_comp() = __t.value_comp();
1547        __copy_assign_alloc(__t);
1548        __assign_multi(__t.begin(), __t.end());
1549    }
1550    return *this;
1551}
1552
1553template <class _Tp, class _Compare, class _Allocator>
1554template <class _InputIterator>
1555void
1556__tree<_Tp, _Compare, _Allocator>::__assign_unique(_InputIterator __first, _InputIterator __last)
1557{
1558    typedef iterator_traits<_InputIterator> _ITraits;
1559    typedef typename _ITraits::value_type _ItValueType;
1560    static_assert((is_same<_ItValueType, __container_value_type>::value),
1561                  "__assign_unique may only be called with the containers value type");
1562
1563    if (size() != 0)
1564    {
1565        __node_pointer __cache = __detach();
1566#ifndef _LIBCPP_NO_EXCEPTIONS
1567        try
1568        {
1569#endif  // _LIBCPP_NO_EXCEPTIONS
1570            for (; __cache != nullptr && __first != __last; ++__first)
1571            {
1572                __cache->__value_ = *__first;
1573                __node_pointer __next = __detach(__cache);
1574                __node_insert_unique(__cache);
1575                __cache = __next;
1576            }
1577#ifndef _LIBCPP_NO_EXCEPTIONS
1578        }
1579        catch (...)
1580        {
1581            while (__cache->__parent_ != nullptr)
1582                __cache = static_cast<__node_pointer>(__cache->__parent_);
1583            destroy(__cache);
1584            throw;
1585        }
1586#endif  // _LIBCPP_NO_EXCEPTIONS
1587        if (__cache != nullptr)
1588        {
1589            while (__cache->__parent_ != nullptr)
1590                __cache = static_cast<__node_pointer>(__cache->__parent_);
1591            destroy(__cache);
1592        }
1593    }
1594    for (; __first != __last; ++__first)
1595        __insert_unique(*__first);
1596}
1597
1598template <class _Tp, class _Compare, class _Allocator>
1599template <class _InputIterator>
1600void
1601__tree<_Tp, _Compare, _Allocator>::__assign_multi(_InputIterator __first, _InputIterator __last)
1602{
1603    typedef iterator_traits<_InputIterator> _ITraits;
1604    typedef typename _ITraits::value_type _ItValueType;
1605    static_assert((is_same<_ItValueType, __container_value_type>::value ||
1606                  is_same<_ItValueType, __node_value_type>::value),
1607                  "__assign_multi may only be called with the containers value type"
1608                  " or the nodes value type");
1609    if (size() != 0)
1610    {
1611        __node_pointer __cache = __detach();
1612#ifndef _LIBCPP_NO_EXCEPTIONS
1613        try
1614        {
1615#endif  // _LIBCPP_NO_EXCEPTIONS
1616            for (; __cache != nullptr && __first != __last; ++__first)
1617            {
1618                __cache->__value_ = *__first;
1619                __node_pointer __next = __detach(__cache);
1620                __node_insert_multi(__cache);
1621                __cache = __next;
1622            }
1623#ifndef _LIBCPP_NO_EXCEPTIONS
1624        }
1625        catch (...)
1626        {
1627            while (__cache->__parent_ != nullptr)
1628                __cache = static_cast<__node_pointer>(__cache->__parent_);
1629            destroy(__cache);
1630            throw;
1631        }
1632#endif  // _LIBCPP_NO_EXCEPTIONS
1633        if (__cache != nullptr)
1634        {
1635            while (__cache->__parent_ != nullptr)
1636                __cache = static_cast<__node_pointer>(__cache->__parent_);
1637            destroy(__cache);
1638        }
1639    }
1640    for (; __first != __last; ++__first)
1641        __insert_multi(_NodeTypes::__get_value(*__first));
1642}
1643
1644template <class _Tp, class _Compare, class _Allocator>
1645__tree<_Tp, _Compare, _Allocator>::__tree(const __tree& __t)
1646    : __begin_node_(__iter_pointer()),
1647      __pair1_(__node_traits::select_on_container_copy_construction(__t.__node_alloc())),
1648      __pair3_(0, __t.value_comp())
1649{
1650    __begin_node() = __end_node();
1651}
1652
1653#ifndef _LIBCPP_HAS_NO_RVALUE_REFERENCES
1654
1655template <class _Tp, class _Compare, class _Allocator>
1656__tree<_Tp, _Compare, _Allocator>::__tree(__tree&& __t)
1657    _NOEXCEPT_(
1658        is_nothrow_move_constructible<__node_allocator>::value &&
1659        is_nothrow_move_constructible<value_compare>::value)
1660    : __begin_node_(_VSTD::move(__t.__begin_node_)),
1661      __pair1_(_VSTD::move(__t.__pair1_)),
1662      __pair3_(_VSTD::move(__t.__pair3_))
1663{
1664    if (size() == 0)
1665        __begin_node() = __end_node();
1666    else
1667    {
1668        __end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__end_node());
1669        __t.__begin_node() = __t.__end_node();
1670        __t.__end_node()->__left_ = nullptr;
1671        __t.size() = 0;
1672    }
1673}
1674
1675template <class _Tp, class _Compare, class _Allocator>
1676__tree<_Tp, _Compare, _Allocator>::__tree(__tree&& __t, const allocator_type& __a)
1677    : __pair1_(__node_allocator(__a)),
1678      __pair3_(0, _VSTD::move(__t.value_comp()))
1679{
1680    if (__a == __t.__alloc())
1681    {
1682        if (__t.size() == 0)
1683            __begin_node() = __end_node();
1684        else
1685        {
1686            __begin_node() = __t.__begin_node();
1687            __end_node()->__left_ = __t.__end_node()->__left_;
1688            __end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__end_node());
1689            size() = __t.size();
1690            __t.__begin_node() = __t.__end_node();
1691            __t.__end_node()->__left_ = nullptr;
1692            __t.size() = 0;
1693        }
1694    }
1695    else
1696    {
1697        __begin_node() = __end_node();
1698    }
1699}
1700
1701template <class _Tp, class _Compare, class _Allocator>
1702void
1703__tree<_Tp, _Compare, _Allocator>::__move_assign(__tree& __t, true_type)
1704    _NOEXCEPT_(is_nothrow_move_assignable<value_compare>::value &&
1705               is_nothrow_move_assignable<__node_allocator>::value)
1706{
1707    destroy(static_cast<__node_pointer>(__end_node()->__left_));
1708    __begin_node_ = __t.__begin_node_;
1709    __pair1_.first() = __t.__pair1_.first();
1710    __move_assign_alloc(__t);
1711    __pair3_ = _VSTD::move(__t.__pair3_);
1712    if (size() == 0)
1713        __begin_node() = __end_node();
1714    else
1715    {
1716        __end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__end_node());
1717        __t.__begin_node() = __t.__end_node();
1718        __t.__end_node()->__left_ = nullptr;
1719        __t.size() = 0;
1720    }
1721}
1722
1723template <class _Tp, class _Compare, class _Allocator>
1724void
1725__tree<_Tp, _Compare, _Allocator>::__move_assign(__tree& __t, false_type)
1726{
1727    if (__node_alloc() == __t.__node_alloc())
1728        __move_assign(__t, true_type());
1729    else
1730    {
1731        value_comp() = _VSTD::move(__t.value_comp());
1732        const_iterator __e = end();
1733        if (size() != 0)
1734        {
1735            __node_pointer __cache = __detach();
1736#ifndef _LIBCPP_NO_EXCEPTIONS
1737            try
1738            {
1739#endif  // _LIBCPP_NO_EXCEPTIONS
1740                while (__cache != nullptr && __t.size() != 0)
1741                {
1742                    __cache->__value_ = _VSTD::move(__t.remove(__t.begin())->__value_);
1743                    __node_pointer __next = __detach(__cache);
1744                    __node_insert_multi(__cache);
1745                    __cache = __next;
1746                }
1747#ifndef _LIBCPP_NO_EXCEPTIONS
1748            }
1749            catch (...)
1750            {
1751                while (__cache->__parent_ != nullptr)
1752                    __cache = static_cast<__node_pointer>(__cache->__parent_);
1753                destroy(__cache);
1754                throw;
1755            }
1756#endif  // _LIBCPP_NO_EXCEPTIONS
1757            if (__cache != nullptr)
1758            {
1759                while (__cache->__parent_ != nullptr)
1760                    __cache = static_cast<__node_pointer>(__cache->__parent_);
1761                destroy(__cache);
1762            }
1763        }
1764        while (__t.size() != 0)
1765            __insert_multi(__e, _NodeTypes::__move(__t.remove(__t.begin())->__value_));
1766    }
1767}
1768
1769template <class _Tp, class _Compare, class _Allocator>
1770__tree<_Tp, _Compare, _Allocator>&
1771__tree<_Tp, _Compare, _Allocator>::operator=(__tree&& __t)
1772    _NOEXCEPT_(
1773        __node_traits::propagate_on_container_move_assignment::value &&
1774        is_nothrow_move_assignable<value_compare>::value &&
1775        is_nothrow_move_assignable<__node_allocator>::value)
1776
1777{
1778    __move_assign(__t, integral_constant<bool,
1779                  __node_traits::propagate_on_container_move_assignment::value>());
1780    return *this;
1781}
1782
1783#endif  // _LIBCPP_HAS_NO_RVALUE_REFERENCES
1784
1785template <class _Tp, class _Compare, class _Allocator>
1786__tree<_Tp, _Compare, _Allocator>::~__tree()
1787{
1788    static_assert((is_copy_constructible<value_compare>::value),
1789                 "Comparator must be copy-constructible.");
1790    destroy(__root());
1791}
1792
1793template <class _Tp, class _Compare, class _Allocator>
1794void
1795__tree<_Tp, _Compare, _Allocator>::destroy(__node_pointer __nd) _NOEXCEPT
1796{
1797    if (__nd != nullptr)
1798    {
1799        destroy(static_cast<__node_pointer>(__nd->__left_));
1800        destroy(static_cast<__node_pointer>(__nd->__right_));
1801        __node_allocator& __na = __node_alloc();
1802        __node_traits::destroy(__na, _NodeTypes::__get_ptr(__nd->__value_));
1803        __node_traits::deallocate(__na, __nd, 1);
1804    }
1805}
1806
1807template <class _Tp, class _Compare, class _Allocator>
1808void
1809__tree<_Tp, _Compare, _Allocator>::swap(__tree& __t)
1810#if _LIBCPP_STD_VER <= 11
1811        _NOEXCEPT_(
1812            __is_nothrow_swappable<value_compare>::value
1813            && (!__node_traits::propagate_on_container_swap::value ||
1814                 __is_nothrow_swappable<__node_allocator>::value)
1815            )
1816#else
1817        _NOEXCEPT_(__is_nothrow_swappable<value_compare>::value)
1818#endif
1819{
1820    using _VSTD::swap;
1821    swap(__begin_node_, __t.__begin_node_);
1822    swap(__pair1_.first(), __t.__pair1_.first());
1823    __swap_allocator(__node_alloc(), __t.__node_alloc());
1824    __pair3_.swap(__t.__pair3_);
1825    if (size() == 0)
1826        __begin_node() = __end_node();
1827    else
1828        __end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__end_node());
1829    if (__t.size() == 0)
1830        __t.__begin_node() = __t.__end_node();
1831    else
1832        __t.__end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__t.__end_node());
1833}
1834
1835template <class _Tp, class _Compare, class _Allocator>
1836void
1837__tree<_Tp, _Compare, _Allocator>::clear() _NOEXCEPT
1838{
1839    destroy(__root());
1840    size() = 0;
1841    __begin_node() = __end_node();
1842    __end_node()->__left_ = nullptr;
1843}
1844
1845// Find lower_bound place to insert
1846// Set __parent to parent of null leaf
1847// Return reference to null leaf
1848template <class _Tp, class _Compare, class _Allocator>
1849typename __tree<_Tp, _Compare, _Allocator>::__node_base_pointer&
1850__tree<_Tp, _Compare, _Allocator>::__find_leaf_low(__parent_pointer& __parent,
1851                                                   const key_type& __v)
1852{
1853    __node_pointer __nd = __root();
1854    if (__nd != nullptr)
1855    {
1856        while (true)
1857        {
1858            if (value_comp()(__nd->__value_, __v))
1859            {
1860                if (__nd->__right_ != nullptr)
1861                    __nd = static_cast<__node_pointer>(__nd->__right_);
1862                else
1863                {
1864                    __parent = static_cast<__parent_pointer>(__nd);
1865                    return __nd->__right_;
1866                }
1867            }
1868            else
1869            {
1870                if (__nd->__left_ != nullptr)
1871                    __nd = static_cast<__node_pointer>(__nd->__left_);
1872                else
1873                {
1874                    __parent = static_cast<__parent_pointer>(__nd);
1875                    return __parent->__left_;
1876                }
1877            }
1878        }
1879    }
1880    __parent = static_cast<__parent_pointer>(__end_node());
1881    return __parent->__left_;
1882}
1883
1884// Find upper_bound place to insert
1885// Set __parent to parent of null leaf
1886// Return reference to null leaf
1887template <class _Tp, class _Compare, class _Allocator>
1888typename __tree<_Tp, _Compare, _Allocator>::__node_base_pointer&
1889__tree<_Tp, _Compare, _Allocator>::__find_leaf_high(__parent_pointer& __parent,
1890                                                    const key_type& __v)
1891{
1892    __node_pointer __nd = __root();
1893    if (__nd != nullptr)
1894    {
1895        while (true)
1896        {
1897            if (value_comp()(__v, __nd->__value_))
1898            {
1899                if (__nd->__left_ != nullptr)
1900                    __nd = static_cast<__node_pointer>(__nd->__left_);
1901                else
1902                {
1903                    __parent = static_cast<__parent_pointer>(__nd);
1904                    return __parent->__left_;
1905                }
1906            }
1907            else
1908            {
1909                if (__nd->__right_ != nullptr)
1910                    __nd = static_cast<__node_pointer>(__nd->__right_);
1911                else
1912                {
1913                    __parent = static_cast<__parent_pointer>(__nd);
1914                    return __nd->__right_;
1915                }
1916            }
1917        }
1918    }
1919    __parent = static_cast<__parent_pointer>(__end_node());
1920    return __parent->__left_;
1921}
1922
1923// Find leaf place to insert closest to __hint
1924// First check prior to __hint.
1925// Next check after __hint.
1926// Next do O(log N) search.
1927// Set __parent to parent of null leaf
1928// Return reference to null leaf
1929template <class _Tp, class _Compare, class _Allocator>
1930typename __tree<_Tp, _Compare, _Allocator>::__node_base_pointer&
1931__tree<_Tp, _Compare, _Allocator>::__find_leaf(const_iterator __hint,
1932                                               __parent_pointer& __parent,
1933                                               const key_type& __v)
1934{
1935    if (__hint == end() || !value_comp()(*__hint, __v))  // check before
1936    {
1937        // __v <= *__hint
1938        const_iterator __prior = __hint;
1939        if (__prior == begin() || !value_comp()(__v, *--__prior))
1940        {
1941            // *prev(__hint) <= __v <= *__hint
1942            if (__hint.__ptr_->__left_ == nullptr)
1943            {
1944                __parent = static_cast<__parent_pointer>(__hint.__ptr_);
1945                return __parent->__left_;
1946            }
1947            else
1948            {
1949                __parent = static_cast<__parent_pointer>(__prior.__ptr_);
1950                return static_cast<__node_base_pointer>(__prior.__ptr_)->__right_;
1951            }
1952        }
1953        // __v < *prev(__hint)
1954        return __find_leaf_high(__parent, __v);
1955    }
1956    // else __v > *__hint
1957    return __find_leaf_low(__parent, __v);
1958}
1959
1960// Find place to insert if __v doesn't exist
1961// Set __parent to parent of null leaf
1962// Return reference to null leaf
1963// If __v exists, set parent to node of __v and return reference to node of __v
1964template <class _Tp, class _Compare, class _Allocator>
1965template <class _Key>
1966typename __tree<_Tp, _Compare, _Allocator>::__node_base_pointer&
1967__tree<_Tp, _Compare, _Allocator>::__find_equal(__parent_pointer& __parent,
1968                                                const _Key& __v)
1969{
1970    __node_pointer __nd = __root();
1971    __node_base_pointer* __nd_ptr = __root_ptr();
1972    if (__nd != nullptr)
1973    {
1974        while (true)
1975        {
1976            if (value_comp()(__v, __nd->__value_))
1977            {
1978                if (__nd->__left_ != nullptr) {
1979                    __nd_ptr = _VSTD::addressof(__nd->__left_);
1980                    __nd = static_cast<__node_pointer>(__nd->__left_);
1981                } else {
1982                    __parent = static_cast<__parent_pointer>(__nd);
1983                    return __parent->__left_;
1984                }
1985            }
1986            else if (value_comp()(__nd->__value_, __v))
1987            {
1988                if (__nd->__right_ != nullptr) {
1989                    __nd_ptr = _VSTD::addressof(__nd->__right_);
1990                    __nd = static_cast<__node_pointer>(__nd->__right_);
1991                } else {
1992                    __parent = static_cast<__parent_pointer>(__nd);
1993                    return __nd->__right_;
1994                }
1995            }
1996            else
1997            {
1998                __parent = static_cast<__parent_pointer>(__nd);
1999                return *__nd_ptr;
2000            }
2001        }
2002    }
2003    __parent = static_cast<__parent_pointer>(__end_node());
2004    return __parent->__left_;
2005}
2006
2007// Find place to insert if __v doesn't exist
2008// First check prior to __hint.
2009// Next check after __hint.
2010// Next do O(log N) search.
2011// Set __parent to parent of null leaf
2012// Return reference to null leaf
2013// If __v exists, set parent to node of __v and return reference to node of __v
2014template <class _Tp, class _Compare, class _Allocator>
2015template <class _Key>
2016typename __tree<_Tp, _Compare, _Allocator>::__node_base_pointer&
2017__tree<_Tp, _Compare, _Allocator>::__find_equal(const_iterator __hint,
2018                                                __parent_pointer& __parent,
2019                                                __node_base_pointer& __dummy,
2020                                                const _Key& __v)
2021{
2022    if (__hint == end() || value_comp()(__v, *__hint))  // check before
2023    {
2024        // __v < *__hint
2025        const_iterator __prior = __hint;
2026        if (__prior == begin() || value_comp()(*--__prior, __v))
2027        {
2028            // *prev(__hint) < __v < *__hint
2029            if (__hint.__ptr_->__left_ == nullptr)
2030            {
2031                __parent = static_cast<__parent_pointer>(__hint.__ptr_);
2032                return __parent->__left_;
2033            }
2034            else
2035            {
2036                __parent = static_cast<__parent_pointer>(__prior.__ptr_);
2037                return static_cast<__node_base_pointer>(__prior.__ptr_)->__right_;
2038            }
2039        }
2040        // __v <= *prev(__hint)
2041        return __find_equal(__parent, __v);
2042    }
2043    else if (value_comp()(*__hint, __v))  // check after
2044    {
2045        // *__hint < __v
2046        const_iterator __next = _VSTD::next(__hint);
2047        if (__next == end() || value_comp()(__v, *__next))
2048        {
2049            // *__hint < __v < *_VSTD::next(__hint)
2050            if (__hint.__get_np()->__right_ == nullptr)
2051            {
2052                __parent = static_cast<__parent_pointer>(__hint.__ptr_);
2053                return static_cast<__node_base_pointer>(__hint.__ptr_)->__right_;
2054            }
2055            else
2056            {
2057                __parent = static_cast<__parent_pointer>(__next.__ptr_);
2058                return __parent->__left_;
2059            }
2060        }
2061        // *next(__hint) <= __v
2062        return __find_equal(__parent, __v);
2063    }
2064    // else __v == *__hint
2065    __parent = static_cast<__parent_pointer>(__hint.__ptr_);
2066    __dummy = static_cast<__node_base_pointer>(__hint.__ptr_);
2067    return __dummy;
2068}
2069
2070template <class _Tp, class _Compare, class _Allocator>
2071void
2072__tree<_Tp, _Compare, _Allocator>::__insert_node_at(__parent_pointer     __parent,
2073                                                    __node_base_pointer& __child,
2074                                                    __node_base_pointer  __new_node)
2075{
2076    __new_node->__left_   = nullptr;
2077    __new_node->__right_  = nullptr;
2078    __new_node->__parent_ = __parent;
2079    // __new_node->__is_black_ is initialized in __tree_balance_after_insert
2080    __child = __new_node;
2081    if (__begin_node()->__left_ != nullptr)
2082        __begin_node() = static_cast<__iter_pointer>(__begin_node()->__left_);
2083    __tree_balance_after_insert(__end_node()->__left_, __child);
2084    ++size();
2085}
2086
2087#ifndef _LIBCPP_CXX03_LANG
2088template <class _Tp, class _Compare, class _Allocator>
2089template <class _Key, class... _Args>
2090pair<typename __tree<_Tp, _Compare, _Allocator>::iterator, bool>
2091__tree<_Tp, _Compare, _Allocator>::__emplace_unique_key_args(_Key const& __k, _Args&&... __args)
2092#else
2093template <class _Tp, class _Compare, class _Allocator>
2094template <class _Key, class _Args>
2095pair<typename __tree<_Tp, _Compare, _Allocator>::iterator, bool>
2096__tree<_Tp, _Compare, _Allocator>::__emplace_unique_key_args(_Key const& __k, _Args& __args)
2097#endif
2098{
2099    __parent_pointer __parent;
2100    __node_base_pointer& __child = __find_equal(__parent, __k);
2101    __node_pointer __r = static_cast<__node_pointer>(__child);
2102    bool __inserted = false;
2103    if (__child == nullptr)
2104    {
2105#ifndef _LIBCPP_CXX03_LANG
2106        __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2107#else
2108        __node_holder __h = __construct_node(__args);
2109#endif
2110        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2111        __r = __h.release();
2112        __inserted = true;
2113    }
2114    return pair<iterator, bool>(iterator(__r), __inserted);
2115}
2116
2117
2118#ifndef _LIBCPP_CXX03_LANG
2119template <class _Tp, class _Compare, class _Allocator>
2120template <class _Key, class... _Args>
2121typename __tree<_Tp, _Compare, _Allocator>::iterator
2122__tree<_Tp, _Compare, _Allocator>::__emplace_hint_unique_key_args(
2123    const_iterator __p, _Key const& __k, _Args&&... __args)
2124#else
2125template <class _Tp, class _Compare, class _Allocator>
2126template <class _Key, class _Args>
2127typename __tree<_Tp, _Compare, _Allocator>::iterator
2128__tree<_Tp, _Compare, _Allocator>::__emplace_hint_unique_key_args(
2129    const_iterator __p, _Key const& __k, _Args& __args)
2130#endif
2131{
2132    __parent_pointer __parent;
2133    __node_base_pointer __dummy;
2134    __node_base_pointer& __child = __find_equal(__p, __parent, __dummy, __k);
2135    __node_pointer __r = static_cast<__node_pointer>(__child);
2136    if (__child == nullptr)
2137    {
2138#ifndef _LIBCPP_CXX03_LANG
2139        __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2140#else
2141        __node_holder __h = __construct_node(__args);
2142#endif
2143        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2144        __r = __h.release();
2145    }
2146    return iterator(__r);
2147}
2148
2149
2150#ifndef _LIBCPP_CXX03_LANG
2151
2152template <class _Tp, class _Compare, class _Allocator>
2153template <class ..._Args>
2154typename __tree<_Tp, _Compare, _Allocator>::__node_holder
2155__tree<_Tp, _Compare, _Allocator>::__construct_node(_Args&& ...__args)
2156{
2157    static_assert(!__is_tree_value_type<_Args...>::value,
2158                  "Cannot construct from __value_type");
2159    __node_allocator& __na = __node_alloc();
2160    __node_holder __h(__node_traits::allocate(__na, 1), _Dp(__na));
2161    __node_traits::construct(__na, _NodeTypes::__get_ptr(__h->__value_), _VSTD::forward<_Args>(__args)...);
2162    __h.get_deleter().__value_constructed = true;
2163    return __h;
2164}
2165
2166
2167template <class _Tp, class _Compare, class _Allocator>
2168template <class... _Args>
2169pair<typename __tree<_Tp, _Compare, _Allocator>::iterator, bool>
2170__tree<_Tp, _Compare, _Allocator>::__emplace_unique_impl(_Args&&... __args)
2171{
2172    __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2173    __parent_pointer __parent;
2174    __node_base_pointer& __child = __find_equal(__parent, __h->__value_);
2175    __node_pointer __r = static_cast<__node_pointer>(__child);
2176    bool __inserted = false;
2177    if (__child == nullptr)
2178    {
2179        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2180        __r = __h.release();
2181        __inserted = true;
2182    }
2183    return pair<iterator, bool>(iterator(__r), __inserted);
2184}
2185
2186template <class _Tp, class _Compare, class _Allocator>
2187template <class... _Args>
2188typename __tree<_Tp, _Compare, _Allocator>::iterator
2189__tree<_Tp, _Compare, _Allocator>::__emplace_hint_unique_impl(const_iterator __p, _Args&&... __args)
2190{
2191    __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2192    __parent_pointer __parent;
2193    __node_base_pointer __dummy;
2194    __node_base_pointer& __child = __find_equal(__p, __parent, __dummy, __h->__value_);
2195    __node_pointer __r = static_cast<__node_pointer>(__child);
2196    if (__child == nullptr)
2197    {
2198        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2199        __r = __h.release();
2200    }
2201    return iterator(__r);
2202}
2203
2204template <class _Tp, class _Compare, class _Allocator>
2205template <class... _Args>
2206typename __tree<_Tp, _Compare, _Allocator>::iterator
2207__tree<_Tp, _Compare, _Allocator>::__emplace_multi(_Args&&... __args)
2208{
2209    __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2210    __parent_pointer __parent;
2211    __node_base_pointer& __child = __find_leaf_high(__parent, _NodeTypes::__get_key(__h->__value_));
2212    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2213    return iterator(static_cast<__node_pointer>(__h.release()));
2214}
2215
2216template <class _Tp, class _Compare, class _Allocator>
2217template <class... _Args>
2218typename __tree<_Tp, _Compare, _Allocator>::iterator
2219__tree<_Tp, _Compare, _Allocator>::__emplace_hint_multi(const_iterator __p,
2220                                                        _Args&&... __args)
2221{
2222    __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2223    __parent_pointer __parent;
2224    __node_base_pointer& __child = __find_leaf(__p, __parent, _NodeTypes::__get_key(__h->__value_));
2225    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2226    return iterator(static_cast<__node_pointer>(__h.release()));
2227}
2228
2229
2230#else  // _LIBCPP_CXX03_LANG
2231
2232template <class _Tp, class _Compare, class _Allocator>
2233typename __tree<_Tp, _Compare, _Allocator>::__node_holder
2234__tree<_Tp, _Compare, _Allocator>::__construct_node(const __container_value_type& __v)
2235{
2236    __node_allocator& __na = __node_alloc();
2237    __node_holder __h(__node_traits::allocate(__na, 1), _Dp(__na));
2238    __node_traits::construct(__na, _NodeTypes::__get_ptr(__h->__value_), __v);
2239    __h.get_deleter().__value_constructed = true;
2240    return _LIBCPP_EXPLICIT_MOVE(__h);  // explicitly moved for C++03
2241}
2242
2243#endif  // _LIBCPP_CXX03_LANG
2244
2245#ifdef _LIBCPP_CXX03_LANG
2246template <class _Tp, class _Compare, class _Allocator>
2247typename __tree<_Tp, _Compare, _Allocator>::iterator
2248__tree<_Tp, _Compare, _Allocator>::__insert_multi(const __container_value_type& __v)
2249{
2250    __parent_pointer __parent;
2251    __node_base_pointer& __child = __find_leaf_high(__parent, _NodeTypes::__get_key(__v));
2252    __node_holder __h = __construct_node(__v);
2253    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2254    return iterator(__h.release());
2255}
2256
2257template <class _Tp, class _Compare, class _Allocator>
2258typename __tree<_Tp, _Compare, _Allocator>::iterator
2259__tree<_Tp, _Compare, _Allocator>::__insert_multi(const_iterator __p, const __container_value_type& __v)
2260{
2261    __parent_pointer __parent;
2262    __node_base_pointer& __child = __find_leaf(__p, __parent, _NodeTypes::__get_key(__v));
2263    __node_holder __h = __construct_node(__v);
2264    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2265    return iterator(__h.release());
2266}
2267#endif
2268
2269template <class _Tp, class _Compare, class _Allocator>
2270pair<typename __tree<_Tp, _Compare, _Allocator>::iterator, bool>
2271__tree<_Tp, _Compare, _Allocator>::__node_insert_unique(__node_pointer __nd)
2272{
2273    __parent_pointer __parent;
2274    __node_base_pointer& __child = __find_equal(__parent, __nd->__value_);
2275    __node_pointer __r = static_cast<__node_pointer>(__child);
2276    bool __inserted = false;
2277    if (__child == nullptr)
2278    {
2279        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__nd));
2280        __r = __nd;
2281        __inserted = true;
2282    }
2283    return pair<iterator, bool>(iterator(__r), __inserted);
2284}
2285
2286template <class _Tp, class _Compare, class _Allocator>
2287typename __tree<_Tp, _Compare, _Allocator>::iterator
2288__tree<_Tp, _Compare, _Allocator>::__node_insert_unique(const_iterator __p,
2289                                                        __node_pointer __nd)
2290{
2291    __parent_pointer __parent;
2292    __node_base_pointer __dummy;
2293    __node_base_pointer& __child = __find_equal(__p, __parent, __nd->__value_);
2294    __node_pointer __r = static_cast<__node_pointer>(__child);
2295    if (__child == nullptr)
2296    {
2297        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__nd));
2298        __r = __nd;
2299    }
2300    return iterator(__r);
2301}
2302
2303template <class _Tp, class _Compare, class _Allocator>
2304typename __tree<_Tp, _Compare, _Allocator>::iterator
2305__tree<_Tp, _Compare, _Allocator>::__node_insert_multi(__node_pointer __nd)
2306{
2307    __parent_pointer __parent;
2308    __node_base_pointer& __child = __find_leaf_high(__parent, _NodeTypes::__get_key(__nd->__value_));
2309    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__nd));
2310    return iterator(__nd);
2311}
2312
2313template <class _Tp, class _Compare, class _Allocator>
2314typename __tree<_Tp, _Compare, _Allocator>::iterator
2315__tree<_Tp, _Compare, _Allocator>::__node_insert_multi(const_iterator __p,
2316                                                       __node_pointer __nd)
2317{
2318    __parent_pointer __parent;
2319    __node_base_pointer& __child = __find_leaf(__p, __parent, _NodeTypes::__get_key(__nd->__value_));
2320    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__nd));
2321    return iterator(__nd);
2322}
2323
2324template <class _Tp, class _Compare, class _Allocator>
2325typename __tree<_Tp, _Compare, _Allocator>::iterator
2326__tree<_Tp, _Compare, _Allocator>::erase(const_iterator __p)
2327{
2328    __node_pointer __np = __p.__get_np();
2329    iterator __r(__p.__ptr_);
2330    ++__r;
2331    if (__begin_node() == __p.__ptr_)
2332        __begin_node() = __r.__ptr_;
2333    --size();
2334    __node_allocator& __na = __node_alloc();
2335    __tree_remove(__end_node()->__left_,
2336                  static_cast<__node_base_pointer>(__np));
2337    __node_traits::destroy(__na, _NodeTypes::__get_ptr(
2338        const_cast<__node_value_type&>(*__p)));
2339    __node_traits::deallocate(__na, __np, 1);
2340    return __r;
2341}
2342
2343template <class _Tp, class _Compare, class _Allocator>
2344typename __tree<_Tp, _Compare, _Allocator>::iterator
2345__tree<_Tp, _Compare, _Allocator>::erase(const_iterator __f, const_iterator __l)
2346{
2347    while (__f != __l)
2348        __f = erase(__f);
2349    return iterator(__l.__ptr_);
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_unique(const _Key& __k)
2356{
2357    iterator __i = find(__k);
2358    if (__i == end())
2359        return 0;
2360    erase(__i);
2361    return 1;
2362}
2363
2364template <class _Tp, class _Compare, class _Allocator>
2365template <class _Key>
2366typename __tree<_Tp, _Compare, _Allocator>::size_type
2367__tree<_Tp, _Compare, _Allocator>::__erase_multi(const _Key& __k)
2368{
2369    pair<iterator, iterator> __p = __equal_range_multi(__k);
2370    size_type __r = 0;
2371    for (; __p.first != __p.second; ++__r)
2372        __p.first = erase(__p.first);
2373    return __r;
2374}
2375
2376template <class _Tp, class _Compare, class _Allocator>
2377template <class _Key>
2378typename __tree<_Tp, _Compare, _Allocator>::iterator
2379__tree<_Tp, _Compare, _Allocator>::find(const _Key& __v)
2380{
2381    iterator __p = __lower_bound(__v, __root(), __end_node());
2382    if (__p != end() && !value_comp()(__v, *__p))
2383        return __p;
2384    return end();
2385}
2386
2387template <class _Tp, class _Compare, class _Allocator>
2388template <class _Key>
2389typename __tree<_Tp, _Compare, _Allocator>::const_iterator
2390__tree<_Tp, _Compare, _Allocator>::find(const _Key& __v) const
2391{
2392    const_iterator __p = __lower_bound(__v, __root(), __end_node());
2393    if (__p != end() && !value_comp()(__v, *__p))
2394        return __p;
2395    return end();
2396}
2397
2398template <class _Tp, class _Compare, class _Allocator>
2399template <class _Key>
2400typename __tree<_Tp, _Compare, _Allocator>::size_type
2401__tree<_Tp, _Compare, _Allocator>::__count_unique(const _Key& __k) const
2402{
2403    __node_pointer __rt = __root();
2404    while (__rt != nullptr)
2405    {
2406        if (value_comp()(__k, __rt->__value_))
2407        {
2408            __rt = static_cast<__node_pointer>(__rt->__left_);
2409        }
2410        else if (value_comp()(__rt->__value_, __k))
2411            __rt = static_cast<__node_pointer>(__rt->__right_);
2412        else
2413            return 1;
2414    }
2415    return 0;
2416}
2417
2418template <class _Tp, class _Compare, class _Allocator>
2419template <class _Key>
2420typename __tree<_Tp, _Compare, _Allocator>::size_type
2421__tree<_Tp, _Compare, _Allocator>::__count_multi(const _Key& __k) const
2422{
2423    __iter_pointer __result = __end_node();
2424    __node_pointer __rt = __root();
2425    while (__rt != nullptr)
2426    {
2427        if (value_comp()(__k, __rt->__value_))
2428        {
2429            __result = static_cast<__iter_pointer>(__rt);
2430            __rt = static_cast<__node_pointer>(__rt->__left_);
2431        }
2432        else if (value_comp()(__rt->__value_, __k))
2433            __rt = static_cast<__node_pointer>(__rt->__right_);
2434        else
2435            return _VSTD::distance(
2436                __lower_bound(__k, static_cast<__node_pointer>(__rt->__left_), static_cast<__iter_pointer>(__rt)),
2437                __upper_bound(__k, static_cast<__node_pointer>(__rt->__right_), __result)
2438            );
2439    }
2440    return 0;
2441}
2442
2443template <class _Tp, class _Compare, class _Allocator>
2444template <class _Key>
2445typename __tree<_Tp, _Compare, _Allocator>::iterator
2446__tree<_Tp, _Compare, _Allocator>::__lower_bound(const _Key& __v,
2447                                                 __node_pointer __root,
2448                                                 __iter_pointer __result)
2449{
2450    while (__root != nullptr)
2451    {
2452        if (!value_comp()(__root->__value_, __v))
2453        {
2454            __result = static_cast<__iter_pointer>(__root);
2455            __root = static_cast<__node_pointer>(__root->__left_);
2456        }
2457        else
2458            __root = static_cast<__node_pointer>(__root->__right_);
2459    }
2460    return iterator(__result);
2461}
2462
2463template <class _Tp, class _Compare, class _Allocator>
2464template <class _Key>
2465typename __tree<_Tp, _Compare, _Allocator>::const_iterator
2466__tree<_Tp, _Compare, _Allocator>::__lower_bound(const _Key& __v,
2467                                                 __node_pointer __root,
2468                                                 __iter_pointer __result) const
2469{
2470    while (__root != nullptr)
2471    {
2472        if (!value_comp()(__root->__value_, __v))
2473        {
2474            __result = static_cast<__iter_pointer>(__root);
2475            __root = static_cast<__node_pointer>(__root->__left_);
2476        }
2477        else
2478            __root = static_cast<__node_pointer>(__root->__right_);
2479    }
2480    return const_iterator(__result);
2481}
2482
2483template <class _Tp, class _Compare, class _Allocator>
2484template <class _Key>
2485typename __tree<_Tp, _Compare, _Allocator>::iterator
2486__tree<_Tp, _Compare, _Allocator>::__upper_bound(const _Key& __v,
2487                                                 __node_pointer __root,
2488                                                 __iter_pointer __result)
2489{
2490    while (__root != nullptr)
2491    {
2492        if (value_comp()(__v, __root->__value_))
2493        {
2494            __result = static_cast<__iter_pointer>(__root);
2495            __root = static_cast<__node_pointer>(__root->__left_);
2496        }
2497        else
2498            __root = static_cast<__node_pointer>(__root->__right_);
2499    }
2500    return iterator(__result);
2501}
2502
2503template <class _Tp, class _Compare, class _Allocator>
2504template <class _Key>
2505typename __tree<_Tp, _Compare, _Allocator>::const_iterator
2506__tree<_Tp, _Compare, _Allocator>::__upper_bound(const _Key& __v,
2507                                                 __node_pointer __root,
2508                                                 __iter_pointer __result) const
2509{
2510    while (__root != nullptr)
2511    {
2512        if (value_comp()(__v, __root->__value_))
2513        {
2514            __result = static_cast<__iter_pointer>(__root);
2515            __root = static_cast<__node_pointer>(__root->__left_);
2516        }
2517        else
2518            __root = static_cast<__node_pointer>(__root->__right_);
2519    }
2520    return const_iterator(__result);
2521}
2522
2523template <class _Tp, class _Compare, class _Allocator>
2524template <class _Key>
2525pair<typename __tree<_Tp, _Compare, _Allocator>::iterator,
2526     typename __tree<_Tp, _Compare, _Allocator>::iterator>
2527__tree<_Tp, _Compare, _Allocator>::__equal_range_unique(const _Key& __k)
2528{
2529    typedef pair<iterator, iterator> _Pp;
2530    __iter_pointer __result = __end_node();
2531    __node_pointer __rt = __root();
2532    while (__rt != nullptr)
2533    {
2534        if (value_comp()(__k, __rt->__value_))
2535        {
2536            __result = static_cast<__iter_pointer>(__rt);
2537            __rt = static_cast<__node_pointer>(__rt->__left_);
2538        }
2539        else if (value_comp()(__rt->__value_, __k))
2540            __rt = static_cast<__node_pointer>(__rt->__right_);
2541        else
2542            return _Pp(iterator(__rt),
2543                      iterator(
2544                          __rt->__right_ != nullptr ?
2545                              static_cast<__iter_pointer>(__tree_min(__rt->__right_))
2546                            : __result));
2547    }
2548    return _Pp(iterator(__result), iterator(__result));
2549}
2550
2551template <class _Tp, class _Compare, class _Allocator>
2552template <class _Key>
2553pair<typename __tree<_Tp, _Compare, _Allocator>::const_iterator,
2554     typename __tree<_Tp, _Compare, _Allocator>::const_iterator>
2555__tree<_Tp, _Compare, _Allocator>::__equal_range_unique(const _Key& __k) const
2556{
2557    typedef pair<const_iterator, const_iterator> _Pp;
2558    __iter_pointer __result = __end_node();
2559    __node_pointer __rt = __root();
2560    while (__rt != nullptr)
2561    {
2562        if (value_comp()(__k, __rt->__value_))
2563        {
2564            __result = static_cast<__iter_pointer>(__rt);
2565            __rt = static_cast<__node_pointer>(__rt->__left_);
2566        }
2567        else if (value_comp()(__rt->__value_, __k))
2568            __rt = static_cast<__node_pointer>(__rt->__right_);
2569        else
2570            return _Pp(const_iterator(__rt),
2571                      const_iterator(
2572                          __rt->__right_ != nullptr ?
2573                              static_cast<__iter_pointer>(__tree_min(__rt->__right_))
2574                            : __result));
2575    }
2576    return _Pp(const_iterator(__result), const_iterator(__result));
2577}
2578
2579template <class _Tp, class _Compare, class _Allocator>
2580template <class _Key>
2581pair<typename __tree<_Tp, _Compare, _Allocator>::iterator,
2582     typename __tree<_Tp, _Compare, _Allocator>::iterator>
2583__tree<_Tp, _Compare, _Allocator>::__equal_range_multi(const _Key& __k)
2584{
2585    typedef pair<iterator, iterator> _Pp;
2586    __iter_pointer __result = __end_node();
2587    __node_pointer __rt = __root();
2588    while (__rt != nullptr)
2589    {
2590        if (value_comp()(__k, __rt->__value_))
2591        {
2592            __result = static_cast<__iter_pointer>(__rt);
2593            __rt = static_cast<__node_pointer>(__rt->__left_);
2594        }
2595        else if (value_comp()(__rt->__value_, __k))
2596            __rt = static_cast<__node_pointer>(__rt->__right_);
2597        else
2598            return _Pp(__lower_bound(__k, static_cast<__node_pointer>(__rt->__left_), static_cast<__iter_pointer>(__rt)),
2599                      __upper_bound(__k, static_cast<__node_pointer>(__rt->__right_), __result));
2600    }
2601    return _Pp(iterator(__result), iterator(__result));
2602}
2603
2604template <class _Tp, class _Compare, class _Allocator>
2605template <class _Key>
2606pair<typename __tree<_Tp, _Compare, _Allocator>::const_iterator,
2607     typename __tree<_Tp, _Compare, _Allocator>::const_iterator>
2608__tree<_Tp, _Compare, _Allocator>::__equal_range_multi(const _Key& __k) const
2609{
2610    typedef pair<const_iterator, const_iterator> _Pp;
2611    __iter_pointer __result = __end_node();
2612    __node_pointer __rt = __root();
2613    while (__rt != nullptr)
2614    {
2615        if (value_comp()(__k, __rt->__value_))
2616        {
2617            __result = static_cast<__iter_pointer>(__rt);
2618            __rt = static_cast<__node_pointer>(__rt->__left_);
2619        }
2620        else if (value_comp()(__rt->__value_, __k))
2621            __rt = static_cast<__node_pointer>(__rt->__right_);
2622        else
2623            return _Pp(__lower_bound(__k, static_cast<__node_pointer>(__rt->__left_), static_cast<__iter_pointer>(__rt)),
2624                      __upper_bound(__k, static_cast<__node_pointer>(__rt->__right_), __result));
2625    }
2626    return _Pp(const_iterator(__result), const_iterator(__result));
2627}
2628
2629template <class _Tp, class _Compare, class _Allocator>
2630typename __tree<_Tp, _Compare, _Allocator>::__node_holder
2631__tree<_Tp, _Compare, _Allocator>::remove(const_iterator __p) _NOEXCEPT
2632{
2633    __node_pointer __np = __p.__get_np();
2634    if (__begin_node() == __p.__ptr_)
2635    {
2636        if (__np->__right_ != nullptr)
2637            __begin_node() = static_cast<__iter_pointer>(__np->__right_);
2638        else
2639            __begin_node() = static_cast<__iter_pointer>(__np->__parent_);
2640    }
2641    --size();
2642    __tree_remove(__end_node()->__left_,
2643                  static_cast<__node_base_pointer>(__np));
2644    return __node_holder(__np, _Dp(__node_alloc(), true));
2645}
2646
2647template <class _Tp, class _Compare, class _Allocator>
2648inline _LIBCPP_INLINE_VISIBILITY
2649void
2650swap(__tree<_Tp, _Compare, _Allocator>& __x,
2651     __tree<_Tp, _Compare, _Allocator>& __y)
2652    _NOEXCEPT_(_NOEXCEPT_(__x.swap(__y)))
2653{
2654    __x.swap(__y);
2655}
2656
2657_LIBCPP_END_NAMESPACE_STD
2658
2659#endif  // _LIBCPP___TREE
2660