xref: /llvm-project-15.0.7/libcxx/include/__tree (revision 5f11e128)
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_PUSH_MACROS
25#include <__undef_macros>
26
27
28_LIBCPP_BEGIN_NAMESPACE_STD
29
30template <class _Tp, class _Compare, class _Allocator> class __tree;
31template <class _Tp, class _NodePtr, class _DiffType>
32    class _LIBCPP_TEMPLATE_VIS __tree_iterator;
33template <class _Tp, class _ConstNodePtr, class _DiffType>
34    class _LIBCPP_TEMPLATE_VIS __tree_const_iterator;
35
36template <class _Pointer> class __tree_end_node;
37template <class _VoidPtr> class __tree_node_base;
38template <class _Tp, class _VoidPtr> class __tree_node;
39
40template <class _Key, class _Value>
41struct __value_type;
42
43template <class _Key, class _CP, class _Compare,
44    bool = is_empty<_Compare>::value && !__libcpp_is_final<_Compare>::value>
45class __map_value_compare;
46
47template <class _Allocator> class __map_node_destructor;
48template <class _TreeIterator> class _LIBCPP_TEMPLATE_VIS __map_iterator;
49template <class _TreeIterator> class _LIBCPP_TEMPLATE_VIS __map_const_iterator;
50
51/*
52
53_NodePtr algorithms
54
55The algorithms taking _NodePtr are red black tree algorithms.  Those
56algorithms taking a parameter named __root should assume that __root
57points to a proper red black tree (unless otherwise specified).
58
59Each algorithm herein assumes that __root->__parent_ points to a non-null
60structure which has a member __left_ which points back to __root.  No other
61member is read or written to at __root->__parent_.
62
63__root->__parent_ will be referred to below (in comments only) as end_node.
64end_node->__left_ is an externably accessible lvalue for __root, and can be
65changed by node insertion and removal (without explicit reference to end_node).
66
67All nodes (with the exception of end_node), even the node referred to as
68__root, have a non-null __parent_ field.
69
70*/
71
72// Returns:  true if __x is a left child of its parent, else false
73// Precondition:  __x != nullptr.
74template <class _NodePtr>
75inline _LIBCPP_INLINE_VISIBILITY
76bool
77__tree_is_left_child(_NodePtr __x) _NOEXCEPT
78{
79    return __x == __x->__parent_->__left_;
80}
81
82// Determines if the subtree rooted at __x is a proper red black subtree.  If
83//    __x is a proper subtree, returns the black height (null counts as 1).  If
84//    __x is an improper subtree, returns 0.
85template <class _NodePtr>
86unsigned
87__tree_sub_invariant(_NodePtr __x)
88{
89    if (__x == nullptr)
90        return 1;
91    // parent consistency checked by caller
92    // check __x->__left_ consistency
93    if (__x->__left_ != nullptr && __x->__left_->__parent_ != __x)
94        return 0;
95    // check __x->__right_ consistency
96    if (__x->__right_ != nullptr && __x->__right_->__parent_ != __x)
97        return 0;
98    // check __x->__left_ != __x->__right_ unless both are nullptr
99    if (__x->__left_ == __x->__right_ && __x->__left_ != nullptr)
100        return 0;
101    // If this is red, neither child can be red
102    if (!__x->__is_black_)
103    {
104        if (__x->__left_ && !__x->__left_->__is_black_)
105            return 0;
106        if (__x->__right_ && !__x->__right_->__is_black_)
107            return 0;
108    }
109    unsigned __h = __tree_sub_invariant(__x->__left_);
110    if (__h == 0)
111        return 0;  // invalid left subtree
112    if (__h != __tree_sub_invariant(__x->__right_))
113        return 0;  // invalid or different height right subtree
114    return __h + __x->__is_black_;  // return black height of this node
115}
116
117// Determines if the red black tree rooted at __root is a proper red black tree.
118//    __root == nullptr is a proper tree.  Returns true is __root is a proper
119//    red black tree, else returns false.
120template <class _NodePtr>
121bool
122__tree_invariant(_NodePtr __root)
123{
124    if (__root == nullptr)
125        return true;
126    // check __x->__parent_ consistency
127    if (__root->__parent_ == nullptr)
128        return false;
129    if (!__tree_is_left_child(__root))
130        return false;
131    // root must be black
132    if (!__root->__is_black_)
133        return false;
134    // do normal node checks
135    return __tree_sub_invariant(__root) != 0;
136}
137
138// Returns:  pointer to the left-most node under __x.
139// Precondition:  __x != nullptr.
140template <class _NodePtr>
141inline _LIBCPP_INLINE_VISIBILITY
142_NodePtr
143__tree_min(_NodePtr __x) _NOEXCEPT
144{
145    while (__x->__left_ != nullptr)
146        __x = __x->__left_;
147    return __x;
148}
149
150// Returns:  pointer to the right-most node under __x.
151// Precondition:  __x != nullptr.
152template <class _NodePtr>
153inline _LIBCPP_INLINE_VISIBILITY
154_NodePtr
155__tree_max(_NodePtr __x) _NOEXCEPT
156{
157    while (__x->__right_ != nullptr)
158        __x = __x->__right_;
159    return __x;
160}
161
162// Returns:  pointer to the next in-order node after __x.
163// Precondition:  __x != nullptr.
164template <class _NodePtr>
165_NodePtr
166__tree_next(_NodePtr __x) _NOEXCEPT
167{
168    if (__x->__right_ != nullptr)
169        return __tree_min(__x->__right_);
170    while (!__tree_is_left_child(__x))
171        __x = __x->__parent_unsafe();
172    return __x->__parent_unsafe();
173}
174
175template <class _EndNodePtr, class _NodePtr>
176inline _LIBCPP_INLINE_VISIBILITY
177_EndNodePtr
178__tree_next_iter(_NodePtr __x) _NOEXCEPT
179{
180    if (__x->__right_ != nullptr)
181        return static_cast<_EndNodePtr>(__tree_min(__x->__right_));
182    while (!__tree_is_left_child(__x))
183        __x = __x->__parent_unsafe();
184    return static_cast<_EndNodePtr>(__x->__parent_);
185}
186
187// Returns:  pointer to the previous in-order node before __x.
188// Precondition:  __x != nullptr.
189// Note: __x may be the end node.
190template <class _NodePtr, class _EndNodePtr>
191inline _LIBCPP_INLINE_VISIBILITY
192_NodePtr
193__tree_prev_iter(_EndNodePtr __x) _NOEXCEPT
194{
195    if (__x->__left_ != nullptr)
196        return __tree_max(__x->__left_);
197    _NodePtr __xx = static_cast<_NodePtr>(__x);
198    while (__tree_is_left_child(__xx))
199        __xx = __xx->__parent_unsafe();
200    return __xx->__parent_unsafe();
201}
202
203// Returns:  pointer to a node which has no children
204// Precondition:  __x != nullptr.
205template <class _NodePtr>
206_NodePtr
207__tree_leaf(_NodePtr __x) _NOEXCEPT
208{
209    while (true)
210    {
211        if (__x->__left_ != nullptr)
212        {
213            __x = __x->__left_;
214            continue;
215        }
216        if (__x->__right_ != nullptr)
217        {
218            __x = __x->__right_;
219            continue;
220        }
221        break;
222    }
223    return __x;
224}
225
226// Effects:  Makes __x->__right_ the subtree root with __x as its left child
227//           while preserving in-order order.
228// Precondition:  __x->__right_ != nullptr
229template <class _NodePtr>
230void
231__tree_left_rotate(_NodePtr __x) _NOEXCEPT
232{
233    _NodePtr __y = __x->__right_;
234    __x->__right_ = __y->__left_;
235    if (__x->__right_ != nullptr)
236        __x->__right_->__set_parent(__x);
237    __y->__parent_ = __x->__parent_;
238    if (__tree_is_left_child(__x))
239        __x->__parent_->__left_ = __y;
240    else
241        __x->__parent_unsafe()->__right_ = __y;
242    __y->__left_ = __x;
243    __x->__set_parent(__y);
244}
245
246// Effects:  Makes __x->__left_ the subtree root with __x as its right child
247//           while preserving in-order order.
248// Precondition:  __x->__left_ != nullptr
249template <class _NodePtr>
250void
251__tree_right_rotate(_NodePtr __x) _NOEXCEPT
252{
253    _NodePtr __y = __x->__left_;
254    __x->__left_ = __y->__right_;
255    if (__x->__left_ != nullptr)
256        __x->__left_->__set_parent(__x);
257    __y->__parent_ = __x->__parent_;
258    if (__tree_is_left_child(__x))
259        __x->__parent_->__left_ = __y;
260    else
261        __x->__parent_unsafe()->__right_ = __y;
262    __y->__right_ = __x;
263    __x->__set_parent(__y);
264}
265
266// Effects:  Rebalances __root after attaching __x to a leaf.
267// Precondition:  __root != nulptr && __x != nullptr.
268//                __x has no children.
269//                __x == __root or == a direct or indirect child of __root.
270//                If __x were to be unlinked from __root (setting __root to
271//                  nullptr if __root == __x), __tree_invariant(__root) == true.
272// Postcondition: __tree_invariant(end_node->__left_) == true.  end_node->__left_
273//                may be different than the value passed in as __root.
274template <class _NodePtr>
275void
276__tree_balance_after_insert(_NodePtr __root, _NodePtr __x) _NOEXCEPT
277{
278    __x->__is_black_ = __x == __root;
279    while (__x != __root && !__x->__parent_unsafe()->__is_black_)
280    {
281        // __x->__parent_ != __root because __x->__parent_->__is_black == false
282        if (__tree_is_left_child(__x->__parent_unsafe()))
283        {
284            _NodePtr __y = __x->__parent_unsafe()->__parent_unsafe()->__right_;
285            if (__y != nullptr && !__y->__is_black_)
286            {
287                __x = __x->__parent_unsafe();
288                __x->__is_black_ = true;
289                __x = __x->__parent_unsafe();
290                __x->__is_black_ = __x == __root;
291                __y->__is_black_ = true;
292            }
293            else
294            {
295                if (!__tree_is_left_child(__x))
296                {
297                    __x = __x->__parent_unsafe();
298                    __tree_left_rotate(__x);
299                }
300                __x = __x->__parent_unsafe();
301                __x->__is_black_ = true;
302                __x = __x->__parent_unsafe();
303                __x->__is_black_ = false;
304                __tree_right_rotate(__x);
305                break;
306            }
307        }
308        else
309        {
310            _NodePtr __y = __x->__parent_unsafe()->__parent_->__left_;
311            if (__y != nullptr && !__y->__is_black_)
312            {
313                __x = __x->__parent_unsafe();
314                __x->__is_black_ = true;
315                __x = __x->__parent_unsafe();
316                __x->__is_black_ = __x == __root;
317                __y->__is_black_ = true;
318            }
319            else
320            {
321                if (__tree_is_left_child(__x))
322                {
323                    __x = __x->__parent_unsafe();
324                    __tree_right_rotate(__x);
325                }
326                __x = __x->__parent_unsafe();
327                __x->__is_black_ = true;
328                __x = __x->__parent_unsafe();
329                __x->__is_black_ = false;
330                __tree_left_rotate(__x);
331                break;
332            }
333        }
334    }
335}
336
337// Precondition:  __root != nullptr && __z != nullptr.
338//                __tree_invariant(__root) == true.
339//                __z == __root or == a direct or indirect child of __root.
340// Effects:  unlinks __z from the tree rooted at __root, rebalancing as needed.
341// Postcondition: __tree_invariant(end_node->__left_) == true && end_node->__left_
342//                nor any of its children refer to __z.  end_node->__left_
343//                may be different than the value passed in as __root.
344template <class _NodePtr>
345void
346__tree_remove(_NodePtr __root, _NodePtr __z) _NOEXCEPT
347{
348    // __z will be removed from the tree.  Client still needs to destruct/deallocate it
349    // __y is either __z, or if __z has two children, __tree_next(__z).
350    // __y will have at most one child.
351    // __y will be the initial hole in the tree (make the hole at a leaf)
352    _NodePtr __y = (__z->__left_ == nullptr || __z->__right_ == nullptr) ?
353                    __z : __tree_next(__z);
354    // __x is __y's possibly null single child
355    _NodePtr __x = __y->__left_ != nullptr ? __y->__left_ : __y->__right_;
356    // __w is __x's possibly null uncle (will become __x's sibling)
357    _NodePtr __w = nullptr;
358    // link __x to __y's parent, and find __w
359    if (__x != nullptr)
360        __x->__parent_ = __y->__parent_;
361    if (__tree_is_left_child(__y))
362    {
363        __y->__parent_->__left_ = __x;
364        if (__y != __root)
365            __w = __y->__parent_unsafe()->__right_;
366        else
367            __root = __x;  // __w == nullptr
368    }
369    else
370    {
371        __y->__parent_unsafe()->__right_ = __x;
372        // __y can't be root if it is a right child
373        __w = __y->__parent_->__left_;
374    }
375    bool __removed_black = __y->__is_black_;
376    // If we didn't remove __z, do so now by splicing in __y for __z,
377    //    but copy __z's color.  This does not impact __x or __w.
378    if (__y != __z)
379    {
380        // __z->__left_ != nulptr but __z->__right_ might == __x == nullptr
381        __y->__parent_ = __z->__parent_;
382        if (__tree_is_left_child(__z))
383            __y->__parent_->__left_ = __y;
384        else
385            __y->__parent_unsafe()->__right_ = __y;
386        __y->__left_ = __z->__left_;
387        __y->__left_->__set_parent(__y);
388        __y->__right_ = __z->__right_;
389        if (__y->__right_ != nullptr)
390            __y->__right_->__set_parent(__y);
391        __y->__is_black_ = __z->__is_black_;
392        if (__root == __z)
393            __root = __y;
394    }
395    // There is no need to rebalance if we removed a red, or if we removed
396    //     the last node.
397    if (__removed_black && __root != nullptr)
398    {
399        // Rebalance:
400        // __x has an implicit black color (transferred from the removed __y)
401        //    associated with it, no matter what its color is.
402        // If __x is __root (in which case it can't be null), it is supposed
403        //    to be black anyway, and if it is doubly black, then the double
404        //    can just be ignored.
405        // If __x is red (in which case it can't be null), then it can absorb
406        //    the implicit black just by setting its color to black.
407        // Since __y was black and only had one child (which __x points to), __x
408        //   is either red with no children, else null, otherwise __y would have
409        //   different black heights under left and right pointers.
410        // if (__x == __root || __x != nullptr && !__x->__is_black_)
411        if (__x != nullptr)
412            __x->__is_black_ = true;
413        else
414        {
415            //  Else __x isn't root, and is "doubly black", even though it may
416            //     be null.  __w can not be null here, else the parent would
417            //     see a black height >= 2 on the __x side and a black height
418            //     of 1 on the __w side (__w must be a non-null black or a red
419            //     with a non-null black child).
420            while (true)
421            {
422                if (!__tree_is_left_child(__w))  // if x is left child
423                {
424                    if (!__w->__is_black_)
425                    {
426                        __w->__is_black_ = true;
427                        __w->__parent_unsafe()->__is_black_ = false;
428                        __tree_left_rotate(__w->__parent_unsafe());
429                        // __x is still valid
430                        // reset __root only if necessary
431                        if (__root == __w->__left_)
432                            __root = __w;
433                        // reset sibling, and it still can't be null
434                        __w = __w->__left_->__right_;
435                    }
436                    // __w->__is_black_ is now true, __w may have null children
437                    if ((__w->__left_  == nullptr || __w->__left_->__is_black_) &&
438                        (__w->__right_ == nullptr || __w->__right_->__is_black_))
439                    {
440                        __w->__is_black_ = false;
441                        __x = __w->__parent_unsafe();
442                        // __x can no longer be null
443                        if (__x == __root || !__x->__is_black_)
444                        {
445                            __x->__is_black_ = true;
446                            break;
447                        }
448                        // reset sibling, and it still can't be null
449                        __w = __tree_is_left_child(__x) ?
450                                    __x->__parent_unsafe()->__right_ :
451                                    __x->__parent_->__left_;
452                        // continue;
453                    }
454                    else  // __w has a red child
455                    {
456                        if (__w->__right_ == nullptr || __w->__right_->__is_black_)
457                        {
458                            // __w left child is non-null and red
459                            __w->__left_->__is_black_ = true;
460                            __w->__is_black_ = false;
461                            __tree_right_rotate(__w);
462                            // __w is known not to be root, so root hasn't changed
463                            // reset sibling, and it still can't be null
464                            __w = __w->__parent_unsafe();
465                        }
466                        // __w has a right red child, left child may be null
467                        __w->__is_black_ = __w->__parent_unsafe()->__is_black_;
468                        __w->__parent_unsafe()->__is_black_ = true;
469                        __w->__right_->__is_black_ = true;
470                        __tree_left_rotate(__w->__parent_unsafe());
471                        break;
472                    }
473                }
474                else
475                {
476                    if (!__w->__is_black_)
477                    {
478                        __w->__is_black_ = true;
479                        __w->__parent_unsafe()->__is_black_ = false;
480                        __tree_right_rotate(__w->__parent_unsafe());
481                        // __x is still valid
482                        // reset __root only if necessary
483                        if (__root == __w->__right_)
484                            __root = __w;
485                        // reset sibling, and it still can't be null
486                        __w = __w->__right_->__left_;
487                    }
488                    // __w->__is_black_ is now true, __w may have null children
489                    if ((__w->__left_  == nullptr || __w->__left_->__is_black_) &&
490                        (__w->__right_ == nullptr || __w->__right_->__is_black_))
491                    {
492                        __w->__is_black_ = false;
493                        __x = __w->__parent_unsafe();
494                        // __x can no longer be null
495                        if (!__x->__is_black_ || __x == __root)
496                        {
497                            __x->__is_black_ = true;
498                            break;
499                        }
500                        // reset sibling, and it still can't be null
501                        __w = __tree_is_left_child(__x) ?
502                                    __x->__parent_unsafe()->__right_ :
503                                    __x->__parent_->__left_;
504                        // continue;
505                    }
506                    else  // __w has a red child
507                    {
508                        if (__w->__left_ == nullptr || __w->__left_->__is_black_)
509                        {
510                            // __w right child is non-null and red
511                            __w->__right_->__is_black_ = true;
512                            __w->__is_black_ = false;
513                            __tree_left_rotate(__w);
514                            // __w is known not to be root, so root hasn't changed
515                            // reset sibling, and it still can't be null
516                            __w = __w->__parent_unsafe();
517                        }
518                        // __w has a left red child, right child may be null
519                        __w->__is_black_ = __w->__parent_unsafe()->__is_black_;
520                        __w->__parent_unsafe()->__is_black_ = true;
521                        __w->__left_->__is_black_ = true;
522                        __tree_right_rotate(__w->__parent_unsafe());
523                        break;
524                    }
525                }
526            }
527        }
528    }
529}
530
531// node traits
532
533
534#ifndef _LIBCPP_CXX03_LANG
535template <class _Tp>
536struct __is_tree_value_type_imp : false_type {};
537
538template <class _Key, class _Value>
539struct __is_tree_value_type_imp<__value_type<_Key, _Value>> : true_type {};
540
541template <class ..._Args>
542struct __is_tree_value_type : false_type {};
543
544template <class _One>
545struct __is_tree_value_type<_One> : __is_tree_value_type_imp<typename __uncvref<_One>::type> {};
546#endif
547
548template <class _Tp>
549struct __tree_key_value_types {
550  typedef _Tp key_type;
551  typedef _Tp __node_value_type;
552  typedef _Tp __container_value_type;
553  static const bool __is_map = false;
554
555  _LIBCPP_INLINE_VISIBILITY
556  static key_type const& __get_key(_Tp const& __v) {
557    return __v;
558  }
559  _LIBCPP_INLINE_VISIBILITY
560  static __container_value_type const& __get_value(__node_value_type const& __v) {
561    return __v;
562  }
563  _LIBCPP_INLINE_VISIBILITY
564  static __container_value_type* __get_ptr(__node_value_type& __n) {
565    return _VSTD::addressof(__n);
566  }
567#ifndef _LIBCPP_CXX03_LANG
568  _LIBCPP_INLINE_VISIBILITY
569  static __container_value_type&& __move(__node_value_type& __v) {
570    return _VSTD::move(__v);
571  }
572#endif
573};
574
575template <class _Key, class _Tp>
576struct __tree_key_value_types<__value_type<_Key, _Tp> > {
577  typedef _Key                                         key_type;
578  typedef _Tp                                          mapped_type;
579  typedef __value_type<_Key, _Tp>                      __node_value_type;
580  typedef pair<const _Key, _Tp>                        __container_value_type;
581  typedef __container_value_type                       __map_value_type;
582  static const bool __is_map = true;
583
584  _LIBCPP_INLINE_VISIBILITY
585  static key_type const&
586  __get_key(__node_value_type const& __t) {
587    return __t.__get_value().first;
588  }
589
590  template <class _Up>
591  _LIBCPP_INLINE_VISIBILITY
592  static typename enable_if<__is_same_uncvref<_Up, __container_value_type>::value,
593      key_type const&>::type
594  __get_key(_Up& __t) {
595    return __t.first;
596  }
597
598  _LIBCPP_INLINE_VISIBILITY
599  static __container_value_type const&
600  __get_value(__node_value_type const& __t) {
601    return __t.__get_value();
602  }
603
604  template <class _Up>
605  _LIBCPP_INLINE_VISIBILITY
606  static typename enable_if<__is_same_uncvref<_Up, __container_value_type>::value,
607      __container_value_type const&>::type
608  __get_value(_Up& __t) {
609    return __t;
610  }
611
612  _LIBCPP_INLINE_VISIBILITY
613  static __container_value_type* __get_ptr(__node_value_type& __n) {
614    return _VSTD::addressof(__n.__get_value());
615  }
616
617#ifndef _LIBCPP_CXX03_LANG
618  _LIBCPP_INLINE_VISIBILITY
619  static pair<key_type&&, mapped_type&&> __move(__node_value_type& __v) {
620    return __v.__move();
621  }
622#endif
623};
624
625template <class _VoidPtr>
626struct __tree_node_base_types {
627  typedef _VoidPtr                                               __void_pointer;
628
629  typedef __tree_node_base<__void_pointer>                      __node_base_type;
630  typedef typename __rebind_pointer<_VoidPtr, __node_base_type>::type
631                                                             __node_base_pointer;
632
633  typedef __tree_end_node<__node_base_pointer>                  __end_node_type;
634  typedef typename __rebind_pointer<_VoidPtr, __end_node_type>::type
635                                                             __end_node_pointer;
636#if defined(_LIBCPP_ABI_TREE_REMOVE_NODE_POINTER_UB)
637  typedef __end_node_pointer __parent_pointer;
638#else
639  typedef typename conditional<
640      is_pointer<__end_node_pointer>::value,
641        __end_node_pointer,
642        __node_base_pointer>::type __parent_pointer;
643#endif
644
645private:
646  static_assert((is_same<typename pointer_traits<_VoidPtr>::element_type, void>::value),
647                  "_VoidPtr does not point to unqualified void type");
648};
649
650template <class _Tp, class _AllocPtr, class _KVTypes = __tree_key_value_types<_Tp>,
651         bool = _KVTypes::__is_map>
652struct __tree_map_pointer_types {};
653
654template <class _Tp, class _AllocPtr, class _KVTypes>
655struct __tree_map_pointer_types<_Tp, _AllocPtr, _KVTypes, true> {
656  typedef typename _KVTypes::__map_value_type   _Mv;
657  typedef typename __rebind_pointer<_AllocPtr, _Mv>::type
658                                                       __map_value_type_pointer;
659  typedef typename __rebind_pointer<_AllocPtr, const _Mv>::type
660                                                 __const_map_value_type_pointer;
661};
662
663template <class _NodePtr, class _NodeT = typename pointer_traits<_NodePtr>::element_type>
664struct __tree_node_types;
665
666template <class _NodePtr, class _Tp, class _VoidPtr>
667struct __tree_node_types<_NodePtr, __tree_node<_Tp, _VoidPtr> >
668    : public __tree_node_base_types<_VoidPtr>,
669             __tree_key_value_types<_Tp>,
670             __tree_map_pointer_types<_Tp, _VoidPtr>
671{
672  typedef __tree_node_base_types<_VoidPtr> __base;
673  typedef __tree_key_value_types<_Tp>      __key_base;
674  typedef __tree_map_pointer_types<_Tp, _VoidPtr> __map_pointer_base;
675public:
676
677  typedef typename pointer_traits<_NodePtr>::element_type       __node_type;
678  typedef _NodePtr                                              __node_pointer;
679
680  typedef _Tp                                                 __node_value_type;
681  typedef typename __rebind_pointer<_VoidPtr, __node_value_type>::type
682                                                      __node_value_type_pointer;
683  typedef typename __rebind_pointer<_VoidPtr, const __node_value_type>::type
684                                                __const_node_value_type_pointer;
685#if defined(_LIBCPP_ABI_TREE_REMOVE_NODE_POINTER_UB)
686  typedef typename __base::__end_node_pointer __iter_pointer;
687#else
688  typedef typename conditional<
689      is_pointer<__node_pointer>::value,
690        typename __base::__end_node_pointer,
691        __node_pointer>::type __iter_pointer;
692#endif
693private:
694    static_assert(!is_const<__node_type>::value,
695                "_NodePtr should never be a pointer to const");
696    static_assert((is_same<typename __rebind_pointer<_VoidPtr, __node_type>::type,
697                          _NodePtr>::value), "_VoidPtr does not rebind to _NodePtr.");
698};
699
700template <class _ValueTp, class _VoidPtr>
701struct __make_tree_node_types {
702  typedef typename __rebind_pointer<_VoidPtr, __tree_node<_ValueTp, _VoidPtr> >::type
703                                                                        _NodePtr;
704  typedef __tree_node_types<_NodePtr> type;
705};
706
707// node
708
709template <class _Pointer>
710class __tree_end_node
711{
712public:
713    typedef _Pointer pointer;
714    pointer __left_;
715
716    _LIBCPP_INLINE_VISIBILITY
717    __tree_end_node() _NOEXCEPT : __left_() {}
718};
719
720template <class _VoidPtr>
721class __tree_node_base
722    : public __tree_node_base_types<_VoidPtr>::__end_node_type
723{
724    typedef __tree_node_base_types<_VoidPtr> _NodeBaseTypes;
725
726public:
727    typedef typename _NodeBaseTypes::__node_base_pointer pointer;
728    typedef typename _NodeBaseTypes::__parent_pointer __parent_pointer;
729
730    pointer          __right_;
731    __parent_pointer __parent_;
732    bool __is_black_;
733
734    _LIBCPP_INLINE_VISIBILITY
735    pointer __parent_unsafe() const { return static_cast<pointer>(__parent_);}
736
737    _LIBCPP_INLINE_VISIBILITY
738    void __set_parent(pointer __p) {
739        __parent_ = static_cast<__parent_pointer>(__p);
740    }
741
742private:
743  ~__tree_node_base() _LIBCPP_EQUAL_DELETE;
744  __tree_node_base(__tree_node_base const&) _LIBCPP_EQUAL_DELETE;
745  __tree_node_base& operator=(__tree_node_base const&) _LIBCPP_EQUAL_DELETE;
746};
747
748template <class _Tp, class _VoidPtr>
749class __tree_node
750    : public __tree_node_base<_VoidPtr>
751{
752public:
753    typedef _Tp __node_value_type;
754
755    __node_value_type __value_;
756
757private:
758  ~__tree_node() _LIBCPP_EQUAL_DELETE;
759  __tree_node(__tree_node const&) _LIBCPP_EQUAL_DELETE;
760  __tree_node& operator=(__tree_node const&) _LIBCPP_EQUAL_DELETE;
761};
762
763
764template <class _Allocator>
765class __tree_node_destructor
766{
767    typedef _Allocator                                      allocator_type;
768    typedef allocator_traits<allocator_type>                __alloc_traits;
769
770public:
771    typedef typename __alloc_traits::pointer                pointer;
772private:
773    typedef __tree_node_types<pointer> _NodeTypes;
774    allocator_type& __na_;
775
776    __tree_node_destructor& operator=(const __tree_node_destructor&);
777
778public:
779    bool __value_constructed;
780
781    _LIBCPP_INLINE_VISIBILITY
782    explicit __tree_node_destructor(allocator_type& __na, bool __val = false) _NOEXCEPT
783        : __na_(__na),
784          __value_constructed(__val)
785        {}
786
787    _LIBCPP_INLINE_VISIBILITY
788    void operator()(pointer __p) _NOEXCEPT
789    {
790        if (__value_constructed)
791            __alloc_traits::destroy(__na_, _NodeTypes::__get_ptr(__p->__value_));
792        if (__p)
793            __alloc_traits::deallocate(__na_, __p, 1);
794    }
795
796    template <class> friend class __map_node_destructor;
797};
798
799
800template <class _Tp, class _NodePtr, class _DiffType>
801class _LIBCPP_TEMPLATE_VIS __tree_iterator
802{
803    typedef __tree_node_types<_NodePtr>                     _NodeTypes;
804    typedef _NodePtr                                        __node_pointer;
805    typedef typename _NodeTypes::__node_base_pointer        __node_base_pointer;
806    typedef typename _NodeTypes::__end_node_pointer         __end_node_pointer;
807    typedef typename _NodeTypes::__iter_pointer             __iter_pointer;
808    typedef pointer_traits<__node_pointer> __pointer_traits;
809
810    __iter_pointer __ptr_;
811
812public:
813    typedef bidirectional_iterator_tag                     iterator_category;
814    typedef _Tp                                            value_type;
815    typedef _DiffType                                      difference_type;
816    typedef value_type&                                    reference;
817    typedef typename _NodeTypes::__node_value_type_pointer pointer;
818
819    _LIBCPP_INLINE_VISIBILITY __tree_iterator() _NOEXCEPT
820#if _LIBCPP_STD_VER > 11
821    : __ptr_(nullptr)
822#endif
823    {}
824
825    _LIBCPP_INLINE_VISIBILITY reference operator*() const
826        {return __get_np()->__value_;}
827    _LIBCPP_INLINE_VISIBILITY pointer operator->() const
828        {return pointer_traits<pointer>::pointer_to(__get_np()->__value_);}
829
830    _LIBCPP_INLINE_VISIBILITY
831    __tree_iterator& operator++() {
832      __ptr_ = static_cast<__iter_pointer>(
833          __tree_next_iter<__end_node_pointer>(static_cast<__node_base_pointer>(__ptr_)));
834      return *this;
835    }
836    _LIBCPP_INLINE_VISIBILITY
837    __tree_iterator operator++(int)
838        {__tree_iterator __t(*this); ++(*this); return __t;}
839
840    _LIBCPP_INLINE_VISIBILITY
841    __tree_iterator& operator--() {
842      __ptr_ = static_cast<__iter_pointer>(__tree_prev_iter<__node_base_pointer>(
843          static_cast<__end_node_pointer>(__ptr_)));
844      return *this;
845    }
846    _LIBCPP_INLINE_VISIBILITY
847    __tree_iterator operator--(int)
848        {__tree_iterator __t(*this); --(*this); return __t;}
849
850    friend _LIBCPP_INLINE_VISIBILITY
851        bool operator==(const __tree_iterator& __x, const __tree_iterator& __y)
852        {return __x.__ptr_ == __y.__ptr_;}
853    friend _LIBCPP_INLINE_VISIBILITY
854        bool operator!=(const __tree_iterator& __x, const __tree_iterator& __y)
855        {return !(__x == __y);}
856
857private:
858    _LIBCPP_INLINE_VISIBILITY
859    explicit __tree_iterator(__node_pointer __p) _NOEXCEPT : __ptr_(__p) {}
860    _LIBCPP_INLINE_VISIBILITY
861    explicit __tree_iterator(__end_node_pointer __p) _NOEXCEPT : __ptr_(__p) {}
862    _LIBCPP_INLINE_VISIBILITY
863    __node_pointer __get_np() const { return static_cast<__node_pointer>(__ptr_); }
864    template <class, class, class> friend class __tree;
865    template <class, class, class> friend class _LIBCPP_TEMPLATE_VIS __tree_const_iterator;
866    template <class> friend class _LIBCPP_TEMPLATE_VIS __map_iterator;
867    template <class, class, class, class> friend class _LIBCPP_TEMPLATE_VIS map;
868    template <class, class, class, class> friend class _LIBCPP_TEMPLATE_VIS multimap;
869    template <class, class, class> friend class _LIBCPP_TEMPLATE_VIS set;
870    template <class, class, class> friend class _LIBCPP_TEMPLATE_VIS multiset;
871};
872
873template <class _Tp, class _NodePtr, class _DiffType>
874class _LIBCPP_TEMPLATE_VIS __tree_const_iterator
875{
876    typedef __tree_node_types<_NodePtr>                     _NodeTypes;
877    typedef typename _NodeTypes::__node_pointer             __node_pointer;
878    typedef typename _NodeTypes::__node_base_pointer        __node_base_pointer;
879    typedef typename _NodeTypes::__end_node_pointer         __end_node_pointer;
880    typedef typename _NodeTypes::__iter_pointer             __iter_pointer;
881    typedef pointer_traits<__node_pointer> __pointer_traits;
882
883    __iter_pointer __ptr_;
884
885public:
886    typedef bidirectional_iterator_tag                           iterator_category;
887    typedef _Tp                                                  value_type;
888    typedef _DiffType                                            difference_type;
889    typedef const value_type&                                    reference;
890    typedef typename _NodeTypes::__const_node_value_type_pointer pointer;
891
892    _LIBCPP_INLINE_VISIBILITY __tree_const_iterator() _NOEXCEPT
893#if _LIBCPP_STD_VER > 11
894    : __ptr_(nullptr)
895#endif
896    {}
897
898private:
899    typedef __tree_iterator<value_type, __node_pointer, difference_type>
900                                                           __non_const_iterator;
901public:
902    _LIBCPP_INLINE_VISIBILITY
903    __tree_const_iterator(__non_const_iterator __p) _NOEXCEPT
904        : __ptr_(__p.__ptr_) {}
905
906    _LIBCPP_INLINE_VISIBILITY reference operator*() const
907        {return __get_np()->__value_;}
908    _LIBCPP_INLINE_VISIBILITY pointer operator->() const
909        {return pointer_traits<pointer>::pointer_to(__get_np()->__value_);}
910
911    _LIBCPP_INLINE_VISIBILITY
912    __tree_const_iterator& operator++() {
913      __ptr_ = static_cast<__iter_pointer>(
914          __tree_next_iter<__end_node_pointer>(static_cast<__node_base_pointer>(__ptr_)));
915      return *this;
916    }
917
918    _LIBCPP_INLINE_VISIBILITY
919    __tree_const_iterator operator++(int)
920        {__tree_const_iterator __t(*this); ++(*this); return __t;}
921
922    _LIBCPP_INLINE_VISIBILITY
923    __tree_const_iterator& operator--() {
924      __ptr_ = static_cast<__iter_pointer>(__tree_prev_iter<__node_base_pointer>(
925          static_cast<__end_node_pointer>(__ptr_)));
926      return *this;
927    }
928
929    _LIBCPP_INLINE_VISIBILITY
930    __tree_const_iterator operator--(int)
931        {__tree_const_iterator __t(*this); --(*this); return __t;}
932
933    friend _LIBCPP_INLINE_VISIBILITY
934        bool operator==(const __tree_const_iterator& __x, const __tree_const_iterator& __y)
935        {return __x.__ptr_ == __y.__ptr_;}
936    friend _LIBCPP_INLINE_VISIBILITY
937        bool operator!=(const __tree_const_iterator& __x, const __tree_const_iterator& __y)
938        {return !(__x == __y);}
939
940private:
941    _LIBCPP_INLINE_VISIBILITY
942    explicit __tree_const_iterator(__node_pointer __p) _NOEXCEPT
943        : __ptr_(__p) {}
944    _LIBCPP_INLINE_VISIBILITY
945    explicit __tree_const_iterator(__end_node_pointer __p) _NOEXCEPT
946        : __ptr_(__p) {}
947    _LIBCPP_INLINE_VISIBILITY
948    __node_pointer __get_np() const { return static_cast<__node_pointer>(__ptr_); }
949
950    template <class, class, class> friend class __tree;
951    template <class, class, class, class> friend class _LIBCPP_TEMPLATE_VIS map;
952    template <class, class, class, class> friend class _LIBCPP_TEMPLATE_VIS multimap;
953    template <class, class, class> friend class _LIBCPP_TEMPLATE_VIS set;
954    template <class, class, class> friend class _LIBCPP_TEMPLATE_VIS multiset;
955    template <class> friend class _LIBCPP_TEMPLATE_VIS __map_const_iterator;
956
957};
958
959#ifndef _LIBCPP_CXX03_LANG
960template <class _Tp, class _Compare, class _Allocator>
961struct __diagnose_tree_helper {
962  static constexpr bool __trigger_diagnostics()
963      _LIBCPP_DIAGNOSE_WARNING(!__invokable<_Compare const&, _Tp const&, _Tp const&>::value,
964            "the specified comparator type does not provide a const call operator")
965  { return true; }
966};
967
968template <class _Key, class _Value, class _KeyComp, class _Alloc>
969struct __diagnose_tree_helper<
970    __value_type<_Key, _Value>,
971    __map_value_compare<_Key, __value_type<_Key, _Value>, _KeyComp>,
972    _Alloc
973> : __diagnose_tree_helper<_Key, _KeyComp, _Alloc>
974{
975};
976#endif // !_LIBCPP_CXX03_LANG
977
978template <class _Tp, class _Compare, class _Allocator>
979class __tree
980{
981public:
982    typedef _Tp                                      value_type;
983    typedef _Compare                                 value_compare;
984    typedef _Allocator                               allocator_type;
985
986private:
987    typedef allocator_traits<allocator_type>         __alloc_traits;
988    typedef typename __make_tree_node_types<value_type,
989        typename __alloc_traits::void_pointer>::type
990                                                    _NodeTypes;
991    typedef typename _NodeTypes::key_type           key_type;
992public:
993    typedef typename _NodeTypes::__node_value_type      __node_value_type;
994    typedef typename _NodeTypes::__container_value_type __container_value_type;
995
996    typedef typename __alloc_traits::pointer         pointer;
997    typedef typename __alloc_traits::const_pointer   const_pointer;
998    typedef typename __alloc_traits::size_type       size_type;
999    typedef typename __alloc_traits::difference_type difference_type;
1000
1001public:
1002    typedef typename _NodeTypes::__void_pointer        __void_pointer;
1003
1004    typedef typename _NodeTypes::__node_type           __node;
1005    typedef typename _NodeTypes::__node_pointer        __node_pointer;
1006
1007    typedef typename _NodeTypes::__node_base_type      __node_base;
1008    typedef typename _NodeTypes::__node_base_pointer   __node_base_pointer;
1009
1010    typedef typename _NodeTypes::__end_node_type       __end_node_t;
1011    typedef typename _NodeTypes::__end_node_pointer    __end_node_ptr;
1012
1013    typedef typename _NodeTypes::__parent_pointer      __parent_pointer;
1014    typedef typename _NodeTypes::__iter_pointer        __iter_pointer;
1015
1016    typedef typename __rebind_alloc_helper<__alloc_traits, __node>::type __node_allocator;
1017    typedef allocator_traits<__node_allocator>         __node_traits;
1018
1019private:
1020    // check for sane allocator pointer rebinding semantics. Rebinding the
1021    // allocator for a new pointer type should be exactly the same as rebinding
1022    // the pointer using 'pointer_traits'.
1023    static_assert((is_same<__node_pointer, typename __node_traits::pointer>::value),
1024                  "Allocator does not rebind pointers in a sane manner.");
1025    typedef typename __rebind_alloc_helper<__node_traits, __node_base>::type
1026        __node_base_allocator;
1027    typedef allocator_traits<__node_base_allocator> __node_base_traits;
1028    static_assert((is_same<__node_base_pointer, typename __node_base_traits::pointer>::value),
1029                 "Allocator does not rebind pointers in a sane manner.");
1030
1031private:
1032    __iter_pointer                                     __begin_node_;
1033    __compressed_pair<__end_node_t, __node_allocator>  __pair1_;
1034    __compressed_pair<size_type, value_compare>        __pair3_;
1035
1036public:
1037    _LIBCPP_INLINE_VISIBILITY
1038    __iter_pointer __end_node() _NOEXCEPT
1039    {
1040        return static_cast<__iter_pointer>(
1041                pointer_traits<__end_node_ptr>::pointer_to(__pair1_.first())
1042        );
1043    }
1044    _LIBCPP_INLINE_VISIBILITY
1045    __iter_pointer __end_node() const _NOEXCEPT
1046    {
1047        return static_cast<__iter_pointer>(
1048            pointer_traits<__end_node_ptr>::pointer_to(
1049                const_cast<__end_node_t&>(__pair1_.first())
1050            )
1051        );
1052    }
1053    _LIBCPP_INLINE_VISIBILITY
1054          __node_allocator& __node_alloc() _NOEXCEPT {return __pair1_.second();}
1055private:
1056    _LIBCPP_INLINE_VISIBILITY
1057    const __node_allocator& __node_alloc() const _NOEXCEPT
1058        {return __pair1_.second();}
1059    _LIBCPP_INLINE_VISIBILITY
1060          __iter_pointer& __begin_node() _NOEXCEPT {return __begin_node_;}
1061    _LIBCPP_INLINE_VISIBILITY
1062    const __iter_pointer& __begin_node() const _NOEXCEPT {return __begin_node_;}
1063public:
1064    _LIBCPP_INLINE_VISIBILITY
1065    allocator_type __alloc() const _NOEXCEPT
1066        {return allocator_type(__node_alloc());}
1067private:
1068    _LIBCPP_INLINE_VISIBILITY
1069          size_type& size() _NOEXCEPT {return __pair3_.first();}
1070public:
1071    _LIBCPP_INLINE_VISIBILITY
1072    const size_type& size() const _NOEXCEPT {return __pair3_.first();}
1073    _LIBCPP_INLINE_VISIBILITY
1074          value_compare& value_comp() _NOEXCEPT {return __pair3_.second();}
1075    _LIBCPP_INLINE_VISIBILITY
1076    const value_compare& value_comp() const _NOEXCEPT
1077        {return __pair3_.second();}
1078public:
1079
1080    _LIBCPP_INLINE_VISIBILITY
1081    __node_pointer __root() const _NOEXCEPT
1082        {return static_cast<__node_pointer>(__end_node()->__left_);}
1083
1084    __node_base_pointer* __root_ptr() const _NOEXCEPT {
1085        return _VSTD::addressof(__end_node()->__left_);
1086    }
1087
1088    typedef __tree_iterator<value_type, __node_pointer, difference_type>             iterator;
1089    typedef __tree_const_iterator<value_type, __node_pointer, difference_type> const_iterator;
1090
1091    explicit __tree(const value_compare& __comp)
1092        _NOEXCEPT_(
1093            is_nothrow_default_constructible<__node_allocator>::value &&
1094            is_nothrow_copy_constructible<value_compare>::value);
1095    explicit __tree(const allocator_type& __a);
1096    __tree(const value_compare& __comp, const allocator_type& __a);
1097    __tree(const __tree& __t);
1098    __tree& operator=(const __tree& __t);
1099    template <class _InputIterator>
1100        void __assign_unique(_InputIterator __first, _InputIterator __last);
1101    template <class _InputIterator>
1102        void __assign_multi(_InputIterator __first, _InputIterator __last);
1103#ifndef _LIBCPP_CXX03_LANG
1104    __tree(__tree&& __t)
1105        _NOEXCEPT_(
1106            is_nothrow_move_constructible<__node_allocator>::value &&
1107            is_nothrow_move_constructible<value_compare>::value);
1108    __tree(__tree&& __t, const allocator_type& __a);
1109    __tree& operator=(__tree&& __t)
1110        _NOEXCEPT_(
1111            __node_traits::propagate_on_container_move_assignment::value &&
1112            is_nothrow_move_assignable<value_compare>::value &&
1113            is_nothrow_move_assignable<__node_allocator>::value);
1114#endif // _LIBCPP_CXX03_LANG
1115
1116    ~__tree();
1117
1118    _LIBCPP_INLINE_VISIBILITY
1119          iterator begin()  _NOEXCEPT {return       iterator(__begin_node());}
1120    _LIBCPP_INLINE_VISIBILITY
1121    const_iterator begin() const _NOEXCEPT {return const_iterator(__begin_node());}
1122    _LIBCPP_INLINE_VISIBILITY
1123          iterator end() _NOEXCEPT {return       iterator(__end_node());}
1124    _LIBCPP_INLINE_VISIBILITY
1125    const_iterator end() const _NOEXCEPT {return const_iterator(__end_node());}
1126
1127    _LIBCPP_INLINE_VISIBILITY
1128    size_type max_size() const _NOEXCEPT
1129        {return std::min<size_type>(
1130                __node_traits::max_size(__node_alloc()),
1131                numeric_limits<difference_type >::max());}
1132
1133    void clear() _NOEXCEPT;
1134
1135    void swap(__tree& __t)
1136#if _LIBCPP_STD_VER <= 11
1137        _NOEXCEPT_(
1138            __is_nothrow_swappable<value_compare>::value
1139            && (!__node_traits::propagate_on_container_swap::value ||
1140                 __is_nothrow_swappable<__node_allocator>::value)
1141            );
1142#else
1143        _NOEXCEPT_(__is_nothrow_swappable<value_compare>::value);
1144#endif
1145
1146#ifndef _LIBCPP_CXX03_LANG
1147    template <class _Key, class ..._Args>
1148    pair<iterator, bool>
1149    __emplace_unique_key_args(_Key const&, _Args&&... __args);
1150    template <class _Key, class ..._Args>
1151    iterator
1152    __emplace_hint_unique_key_args(const_iterator, _Key const&, _Args&&...);
1153
1154    template <class... _Args>
1155    pair<iterator, bool> __emplace_unique_impl(_Args&&... __args);
1156
1157    template <class... _Args>
1158    iterator __emplace_hint_unique_impl(const_iterator __p, _Args&&... __args);
1159
1160    template <class... _Args>
1161    iterator __emplace_multi(_Args&&... __args);
1162
1163    template <class... _Args>
1164    iterator __emplace_hint_multi(const_iterator __p, _Args&&... __args);
1165
1166    template <class _Pp>
1167    _LIBCPP_INLINE_VISIBILITY
1168    pair<iterator, bool> __emplace_unique(_Pp&& __x) {
1169        return __emplace_unique_extract_key(_VSTD::forward<_Pp>(__x),
1170                                            __can_extract_key<_Pp, key_type>());
1171    }
1172
1173    template <class _First, class _Second>
1174    _LIBCPP_INLINE_VISIBILITY
1175    typename enable_if<
1176        __can_extract_map_key<_First, key_type, __container_value_type>::value,
1177        pair<iterator, bool>
1178    >::type __emplace_unique(_First&& __f, _Second&& __s) {
1179        return __emplace_unique_key_args(__f, _VSTD::forward<_First>(__f),
1180                                              _VSTD::forward<_Second>(__s));
1181    }
1182
1183    template <class... _Args>
1184    _LIBCPP_INLINE_VISIBILITY
1185    pair<iterator, bool> __emplace_unique(_Args&&... __args) {
1186        return __emplace_unique_impl(_VSTD::forward<_Args>(__args)...);
1187    }
1188
1189    template <class _Pp>
1190    _LIBCPP_INLINE_VISIBILITY
1191    pair<iterator, bool>
1192    __emplace_unique_extract_key(_Pp&& __x, __extract_key_fail_tag) {
1193      return __emplace_unique_impl(_VSTD::forward<_Pp>(__x));
1194    }
1195
1196    template <class _Pp>
1197    _LIBCPP_INLINE_VISIBILITY
1198    pair<iterator, bool>
1199    __emplace_unique_extract_key(_Pp&& __x, __extract_key_self_tag) {
1200      return __emplace_unique_key_args(__x, _VSTD::forward<_Pp>(__x));
1201    }
1202
1203    template <class _Pp>
1204    _LIBCPP_INLINE_VISIBILITY
1205    pair<iterator, bool>
1206    __emplace_unique_extract_key(_Pp&& __x, __extract_key_first_tag) {
1207      return __emplace_unique_key_args(__x.first, _VSTD::forward<_Pp>(__x));
1208    }
1209
1210    template <class _Pp>
1211    _LIBCPP_INLINE_VISIBILITY
1212    iterator __emplace_hint_unique(const_iterator __p, _Pp&& __x) {
1213        return __emplace_hint_unique_extract_key(__p, _VSTD::forward<_Pp>(__x),
1214                                            __can_extract_key<_Pp, key_type>());
1215    }
1216
1217    template <class _First, class _Second>
1218    _LIBCPP_INLINE_VISIBILITY
1219    typename enable_if<
1220        __can_extract_map_key<_First, key_type, __container_value_type>::value,
1221        iterator
1222    >::type __emplace_hint_unique(const_iterator __p, _First&& __f, _Second&& __s) {
1223        return __emplace_hint_unique_key_args(__p, __f,
1224                                              _VSTD::forward<_First>(__f),
1225                                              _VSTD::forward<_Second>(__s));
1226    }
1227
1228    template <class... _Args>
1229    _LIBCPP_INLINE_VISIBILITY
1230    iterator __emplace_hint_unique(const_iterator __p, _Args&&... __args) {
1231        return __emplace_hint_unique_impl(__p, _VSTD::forward<_Args>(__args)...);
1232    }
1233
1234    template <class _Pp>
1235    _LIBCPP_INLINE_VISIBILITY
1236    iterator
1237    __emplace_hint_unique_extract_key(const_iterator __p, _Pp&& __x, __extract_key_fail_tag) {
1238      return __emplace_hint_unique_impl(__p, _VSTD::forward<_Pp>(__x));
1239    }
1240
1241    template <class _Pp>
1242    _LIBCPP_INLINE_VISIBILITY
1243    iterator
1244    __emplace_hint_unique_extract_key(const_iterator __p, _Pp&& __x, __extract_key_self_tag) {
1245      return __emplace_hint_unique_key_args(__p, __x, _VSTD::forward<_Pp>(__x));
1246    }
1247
1248    template <class _Pp>
1249    _LIBCPP_INLINE_VISIBILITY
1250    iterator
1251    __emplace_hint_unique_extract_key(const_iterator __p, _Pp&& __x, __extract_key_first_tag) {
1252      return __emplace_hint_unique_key_args(__p, __x.first, _VSTD::forward<_Pp>(__x));
1253    }
1254
1255#else
1256    template <class _Key, class _Args>
1257    _LIBCPP_INLINE_VISIBILITY
1258    pair<iterator, bool> __emplace_unique_key_args(_Key const&, _Args& __args);
1259    template <class _Key, class _Args>
1260    _LIBCPP_INLINE_VISIBILITY
1261    iterator __emplace_hint_unique_key_args(const_iterator, _Key const&, _Args&);
1262#endif
1263
1264    _LIBCPP_INLINE_VISIBILITY
1265    pair<iterator, bool> __insert_unique(const __container_value_type& __v) {
1266        return __emplace_unique_key_args(_NodeTypes::__get_key(__v), __v);
1267    }
1268
1269    _LIBCPP_INLINE_VISIBILITY
1270    iterator __insert_unique(const_iterator __p, const __container_value_type& __v) {
1271        return __emplace_hint_unique_key_args(__p, _NodeTypes::__get_key(__v), __v);
1272    }
1273
1274#ifdef _LIBCPP_CXX03_LANG
1275    _LIBCPP_INLINE_VISIBILITY
1276    iterator __insert_multi(const __container_value_type& __v);
1277    _LIBCPP_INLINE_VISIBILITY
1278    iterator __insert_multi(const_iterator __p, const __container_value_type& __v);
1279#else
1280    _LIBCPP_INLINE_VISIBILITY
1281    pair<iterator, bool> __insert_unique(__container_value_type&& __v) {
1282        return __emplace_unique_key_args(_NodeTypes::__get_key(__v), _VSTD::move(__v));
1283    }
1284
1285    _LIBCPP_INLINE_VISIBILITY
1286    iterator __insert_unique(const_iterator __p, __container_value_type&& __v) {
1287        return __emplace_hint_unique_key_args(__p, _NodeTypes::__get_key(__v), _VSTD::move(__v));
1288    }
1289
1290    template <class _Vp, class = typename enable_if<
1291            !is_same<typename __unconstref<_Vp>::type,
1292                     __container_value_type
1293            >::value
1294        >::type>
1295    _LIBCPP_INLINE_VISIBILITY
1296    pair<iterator, bool> __insert_unique(_Vp&& __v) {
1297        return __emplace_unique(_VSTD::forward<_Vp>(__v));
1298    }
1299
1300    template <class _Vp, class = typename enable_if<
1301            !is_same<typename __unconstref<_Vp>::type,
1302                     __container_value_type
1303            >::value
1304        >::type>
1305    _LIBCPP_INLINE_VISIBILITY
1306    iterator __insert_unique(const_iterator __p, _Vp&& __v) {
1307        return __emplace_hint_unique(__p, _VSTD::forward<_Vp>(__v));
1308    }
1309
1310    _LIBCPP_INLINE_VISIBILITY
1311    iterator __insert_multi(__container_value_type&& __v) {
1312        return __emplace_multi(_VSTD::move(__v));
1313    }
1314
1315    _LIBCPP_INLINE_VISIBILITY
1316    iterator __insert_multi(const_iterator __p, __container_value_type&& __v) {
1317        return __emplace_hint_multi(__p, _VSTD::move(__v));
1318    }
1319
1320    template <class _Vp>
1321    _LIBCPP_INLINE_VISIBILITY
1322    iterator __insert_multi(_Vp&& __v) {
1323        return __emplace_multi(_VSTD::forward<_Vp>(__v));
1324    }
1325
1326    template <class _Vp>
1327    _LIBCPP_INLINE_VISIBILITY
1328    iterator __insert_multi(const_iterator __p, _Vp&& __v) {
1329        return __emplace_hint_multi(__p, _VSTD::forward<_Vp>(__v));
1330    }
1331
1332#endif // !_LIBCPP_CXX03_LANG
1333
1334    pair<iterator, bool> __node_insert_unique(__node_pointer __nd);
1335    iterator             __node_insert_unique(const_iterator __p,
1336                                              __node_pointer __nd);
1337
1338    iterator __node_insert_multi(__node_pointer __nd);
1339    iterator __node_insert_multi(const_iterator __p, __node_pointer __nd);
1340
1341    iterator erase(const_iterator __p);
1342    iterator erase(const_iterator __f, const_iterator __l);
1343    template <class _Key>
1344        size_type __erase_unique(const _Key& __k);
1345    template <class _Key>
1346        size_type __erase_multi(const _Key& __k);
1347
1348    void __insert_node_at(__parent_pointer     __parent,
1349                          __node_base_pointer& __child,
1350                          __node_base_pointer __new_node);
1351
1352    template <class _Key>
1353        iterator find(const _Key& __v);
1354    template <class _Key>
1355        const_iterator find(const _Key& __v) const;
1356
1357    template <class _Key>
1358        size_type __count_unique(const _Key& __k) const;
1359    template <class _Key>
1360        size_type __count_multi(const _Key& __k) const;
1361
1362    template <class _Key>
1363        _LIBCPP_INLINE_VISIBILITY
1364        iterator lower_bound(const _Key& __v)
1365            {return __lower_bound(__v, __root(), __end_node());}
1366    template <class _Key>
1367        iterator __lower_bound(const _Key& __v,
1368                               __node_pointer __root,
1369                               __iter_pointer __result);
1370    template <class _Key>
1371        _LIBCPP_INLINE_VISIBILITY
1372        const_iterator lower_bound(const _Key& __v) const
1373            {return __lower_bound(__v, __root(), __end_node());}
1374    template <class _Key>
1375        const_iterator __lower_bound(const _Key& __v,
1376                                     __node_pointer __root,
1377                                     __iter_pointer __result) const;
1378    template <class _Key>
1379        _LIBCPP_INLINE_VISIBILITY
1380        iterator upper_bound(const _Key& __v)
1381            {return __upper_bound(__v, __root(), __end_node());}
1382    template <class _Key>
1383        iterator __upper_bound(const _Key& __v,
1384                               __node_pointer __root,
1385                               __iter_pointer __result);
1386    template <class _Key>
1387        _LIBCPP_INLINE_VISIBILITY
1388        const_iterator upper_bound(const _Key& __v) const
1389            {return __upper_bound(__v, __root(), __end_node());}
1390    template <class _Key>
1391        const_iterator __upper_bound(const _Key& __v,
1392                                     __node_pointer __root,
1393                                     __iter_pointer __result) const;
1394    template <class _Key>
1395        pair<iterator, iterator>
1396        __equal_range_unique(const _Key& __k);
1397    template <class _Key>
1398        pair<const_iterator, const_iterator>
1399        __equal_range_unique(const _Key& __k) const;
1400
1401    template <class _Key>
1402        pair<iterator, iterator>
1403        __equal_range_multi(const _Key& __k);
1404    template <class _Key>
1405        pair<const_iterator, const_iterator>
1406        __equal_range_multi(const _Key& __k) const;
1407
1408    typedef __tree_node_destructor<__node_allocator> _Dp;
1409    typedef unique_ptr<__node, _Dp> __node_holder;
1410
1411    __node_holder remove(const_iterator __p) _NOEXCEPT;
1412private:
1413    __node_base_pointer&
1414        __find_leaf_low(__parent_pointer& __parent, const key_type& __v);
1415    __node_base_pointer&
1416        __find_leaf_high(__parent_pointer& __parent, const key_type& __v);
1417    __node_base_pointer&
1418        __find_leaf(const_iterator __hint,
1419                    __parent_pointer& __parent, const key_type& __v);
1420    // FIXME: Make this function const qualified. Unfortunetly doing so
1421    // breaks existing code which uses non-const callable comparators.
1422    template <class _Key>
1423    __node_base_pointer&
1424        __find_equal(__parent_pointer& __parent, const _Key& __v);
1425    template <class _Key>
1426    _LIBCPP_INLINE_VISIBILITY __node_base_pointer&
1427    __find_equal(__parent_pointer& __parent, const _Key& __v) const {
1428      return const_cast<__tree*>(this)->__find_equal(__parent, __v);
1429    }
1430    template <class _Key>
1431    __node_base_pointer&
1432        __find_equal(const_iterator __hint, __parent_pointer& __parent,
1433                     __node_base_pointer& __dummy,
1434                     const _Key& __v);
1435
1436#ifndef _LIBCPP_CXX03_LANG
1437    template <class ..._Args>
1438    __node_holder __construct_node(_Args&& ...__args);
1439#else
1440    __node_holder __construct_node(const __container_value_type& __v);
1441#endif
1442
1443    void destroy(__node_pointer __nd) _NOEXCEPT;
1444
1445    _LIBCPP_INLINE_VISIBILITY
1446    void __copy_assign_alloc(const __tree& __t)
1447        {__copy_assign_alloc(__t, integral_constant<bool,
1448             __node_traits::propagate_on_container_copy_assignment::value>());}
1449
1450    _LIBCPP_INLINE_VISIBILITY
1451    void __copy_assign_alloc(const __tree& __t, true_type)
1452        {
1453        if (__node_alloc() != __t.__node_alloc())
1454        	clear();
1455        __node_alloc() = __t.__node_alloc();
1456        }
1457    _LIBCPP_INLINE_VISIBILITY
1458    void __copy_assign_alloc(const __tree&, false_type) {}
1459
1460    void __move_assign(__tree& __t, false_type);
1461    void __move_assign(__tree& __t, true_type)
1462        _NOEXCEPT_(is_nothrow_move_assignable<value_compare>::value &&
1463                   is_nothrow_move_assignable<__node_allocator>::value);
1464
1465    _LIBCPP_INLINE_VISIBILITY
1466    void __move_assign_alloc(__tree& __t)
1467        _NOEXCEPT_(
1468            !__node_traits::propagate_on_container_move_assignment::value ||
1469            is_nothrow_move_assignable<__node_allocator>::value)
1470        {__move_assign_alloc(__t, integral_constant<bool,
1471             __node_traits::propagate_on_container_move_assignment::value>());}
1472
1473    _LIBCPP_INLINE_VISIBILITY
1474    void __move_assign_alloc(__tree& __t, true_type)
1475        _NOEXCEPT_(is_nothrow_move_assignable<__node_allocator>::value)
1476        {__node_alloc() = _VSTD::move(__t.__node_alloc());}
1477    _LIBCPP_INLINE_VISIBILITY
1478    void __move_assign_alloc(__tree&, false_type) _NOEXCEPT {}
1479
1480    __node_pointer __detach();
1481    static __node_pointer __detach(__node_pointer);
1482
1483    template <class, class, class, class> friend class _LIBCPP_TEMPLATE_VIS map;
1484    template <class, class, class, class> friend class _LIBCPP_TEMPLATE_VIS multimap;
1485};
1486
1487template <class _Tp, class _Compare, class _Allocator>
1488__tree<_Tp, _Compare, _Allocator>::__tree(const value_compare& __comp)
1489        _NOEXCEPT_(
1490            is_nothrow_default_constructible<__node_allocator>::value &&
1491            is_nothrow_copy_constructible<value_compare>::value)
1492    : __pair3_(0, __comp)
1493{
1494    __begin_node() = __end_node();
1495}
1496
1497template <class _Tp, class _Compare, class _Allocator>
1498__tree<_Tp, _Compare, _Allocator>::__tree(const allocator_type& __a)
1499    : __begin_node_(__iter_pointer()),
1500      __pair1_(__second_tag(), __node_allocator(__a)),
1501      __pair3_(0)
1502{
1503    __begin_node() = __end_node();
1504}
1505
1506template <class _Tp, class _Compare, class _Allocator>
1507__tree<_Tp, _Compare, _Allocator>::__tree(const value_compare& __comp,
1508                                           const allocator_type& __a)
1509    : __begin_node_(__iter_pointer()),
1510      __pair1_(__second_tag(), __node_allocator(__a)),
1511      __pair3_(0, __comp)
1512{
1513    __begin_node() = __end_node();
1514}
1515
1516// Precondition:  size() != 0
1517template <class _Tp, class _Compare, class _Allocator>
1518typename __tree<_Tp, _Compare, _Allocator>::__node_pointer
1519__tree<_Tp, _Compare, _Allocator>::__detach()
1520{
1521    __node_pointer __cache = static_cast<__node_pointer>(__begin_node());
1522    __begin_node() = __end_node();
1523    __end_node()->__left_->__parent_ = nullptr;
1524    __end_node()->__left_ = nullptr;
1525    size() = 0;
1526    // __cache->__left_ == nullptr
1527    if (__cache->__right_ != nullptr)
1528        __cache = static_cast<__node_pointer>(__cache->__right_);
1529    // __cache->__left_ == nullptr
1530    // __cache->__right_ == nullptr
1531    return __cache;
1532}
1533
1534// Precondition:  __cache != nullptr
1535//    __cache->left_ == nullptr
1536//    __cache->right_ == nullptr
1537//    This is no longer a red-black tree
1538template <class _Tp, class _Compare, class _Allocator>
1539typename __tree<_Tp, _Compare, _Allocator>::__node_pointer
1540__tree<_Tp, _Compare, _Allocator>::__detach(__node_pointer __cache)
1541{
1542    if (__cache->__parent_ == nullptr)
1543        return nullptr;
1544    if (__tree_is_left_child(static_cast<__node_base_pointer>(__cache)))
1545    {
1546        __cache->__parent_->__left_ = nullptr;
1547        __cache = static_cast<__node_pointer>(__cache->__parent_);
1548        if (__cache->__right_ == nullptr)
1549            return __cache;
1550        return static_cast<__node_pointer>(__tree_leaf(__cache->__right_));
1551    }
1552    // __cache is right child
1553    __cache->__parent_unsafe()->__right_ = nullptr;
1554    __cache = static_cast<__node_pointer>(__cache->__parent_);
1555    if (__cache->__left_ == nullptr)
1556        return __cache;
1557    return static_cast<__node_pointer>(__tree_leaf(__cache->__left_));
1558}
1559
1560template <class _Tp, class _Compare, class _Allocator>
1561__tree<_Tp, _Compare, _Allocator>&
1562__tree<_Tp, _Compare, _Allocator>::operator=(const __tree& __t)
1563{
1564    if (this != &__t)
1565    {
1566        value_comp() = __t.value_comp();
1567        __copy_assign_alloc(__t);
1568        __assign_multi(__t.begin(), __t.end());
1569    }
1570    return *this;
1571}
1572
1573template <class _Tp, class _Compare, class _Allocator>
1574template <class _InputIterator>
1575void
1576__tree<_Tp, _Compare, _Allocator>::__assign_unique(_InputIterator __first, _InputIterator __last)
1577{
1578    typedef iterator_traits<_InputIterator> _ITraits;
1579    typedef typename _ITraits::value_type _ItValueType;
1580    static_assert((is_same<_ItValueType, __container_value_type>::value),
1581                  "__assign_unique may only be called with the containers value type");
1582
1583    if (size() != 0)
1584    {
1585        __node_pointer __cache = __detach();
1586#ifndef _LIBCPP_NO_EXCEPTIONS
1587        try
1588        {
1589#endif  // _LIBCPP_NO_EXCEPTIONS
1590            for (; __cache != nullptr && __first != __last; ++__first)
1591            {
1592                __cache->__value_ = *__first;
1593                __node_pointer __next = __detach(__cache);
1594                __node_insert_unique(__cache);
1595                __cache = __next;
1596            }
1597#ifndef _LIBCPP_NO_EXCEPTIONS
1598        }
1599        catch (...)
1600        {
1601            while (__cache->__parent_ != nullptr)
1602                __cache = static_cast<__node_pointer>(__cache->__parent_);
1603            destroy(__cache);
1604            throw;
1605        }
1606#endif  // _LIBCPP_NO_EXCEPTIONS
1607        if (__cache != nullptr)
1608        {
1609            while (__cache->__parent_ != nullptr)
1610                __cache = static_cast<__node_pointer>(__cache->__parent_);
1611            destroy(__cache);
1612        }
1613    }
1614    for (; __first != __last; ++__first)
1615        __insert_unique(*__first);
1616}
1617
1618template <class _Tp, class _Compare, class _Allocator>
1619template <class _InputIterator>
1620void
1621__tree<_Tp, _Compare, _Allocator>::__assign_multi(_InputIterator __first, _InputIterator __last)
1622{
1623    typedef iterator_traits<_InputIterator> _ITraits;
1624    typedef typename _ITraits::value_type _ItValueType;
1625    static_assert((is_same<_ItValueType, __container_value_type>::value ||
1626                  is_same<_ItValueType, __node_value_type>::value),
1627                  "__assign_multi may only be called with the containers value type"
1628                  " or the nodes value type");
1629    if (size() != 0)
1630    {
1631        __node_pointer __cache = __detach();
1632#ifndef _LIBCPP_NO_EXCEPTIONS
1633        try
1634        {
1635#endif  // _LIBCPP_NO_EXCEPTIONS
1636            for (; __cache != nullptr && __first != __last; ++__first)
1637            {
1638                __cache->__value_ = *__first;
1639                __node_pointer __next = __detach(__cache);
1640                __node_insert_multi(__cache);
1641                __cache = __next;
1642            }
1643#ifndef _LIBCPP_NO_EXCEPTIONS
1644        }
1645        catch (...)
1646        {
1647            while (__cache->__parent_ != nullptr)
1648                __cache = static_cast<__node_pointer>(__cache->__parent_);
1649            destroy(__cache);
1650            throw;
1651        }
1652#endif  // _LIBCPP_NO_EXCEPTIONS
1653        if (__cache != nullptr)
1654        {
1655            while (__cache->__parent_ != nullptr)
1656                __cache = static_cast<__node_pointer>(__cache->__parent_);
1657            destroy(__cache);
1658        }
1659    }
1660    for (; __first != __last; ++__first)
1661        __insert_multi(_NodeTypes::__get_value(*__first));
1662}
1663
1664template <class _Tp, class _Compare, class _Allocator>
1665__tree<_Tp, _Compare, _Allocator>::__tree(const __tree& __t)
1666    : __begin_node_(__iter_pointer()),
1667      __pair1_(__second_tag(), __node_traits::select_on_container_copy_construction(__t.__node_alloc())),
1668      __pair3_(0, __t.value_comp())
1669{
1670    __begin_node() = __end_node();
1671}
1672
1673#ifndef _LIBCPP_CXX03_LANG
1674
1675template <class _Tp, class _Compare, class _Allocator>
1676__tree<_Tp, _Compare, _Allocator>::__tree(__tree&& __t)
1677    _NOEXCEPT_(
1678        is_nothrow_move_constructible<__node_allocator>::value &&
1679        is_nothrow_move_constructible<value_compare>::value)
1680    : __begin_node_(_VSTD::move(__t.__begin_node_)),
1681      __pair1_(_VSTD::move(__t.__pair1_)),
1682      __pair3_(_VSTD::move(__t.__pair3_))
1683{
1684    if (size() == 0)
1685        __begin_node() = __end_node();
1686    else
1687    {
1688        __end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__end_node());
1689        __t.__begin_node() = __t.__end_node();
1690        __t.__end_node()->__left_ = nullptr;
1691        __t.size() = 0;
1692    }
1693}
1694
1695template <class _Tp, class _Compare, class _Allocator>
1696__tree<_Tp, _Compare, _Allocator>::__tree(__tree&& __t, const allocator_type& __a)
1697    : __pair1_(__second_tag(), __node_allocator(__a)),
1698      __pair3_(0, _VSTD::move(__t.value_comp()))
1699{
1700    if (__a == __t.__alloc())
1701    {
1702        if (__t.size() == 0)
1703            __begin_node() = __end_node();
1704        else
1705        {
1706            __begin_node() = __t.__begin_node();
1707            __end_node()->__left_ = __t.__end_node()->__left_;
1708            __end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__end_node());
1709            size() = __t.size();
1710            __t.__begin_node() = __t.__end_node();
1711            __t.__end_node()->__left_ = nullptr;
1712            __t.size() = 0;
1713        }
1714    }
1715    else
1716    {
1717        __begin_node() = __end_node();
1718    }
1719}
1720
1721template <class _Tp, class _Compare, class _Allocator>
1722void
1723__tree<_Tp, _Compare, _Allocator>::__move_assign(__tree& __t, true_type)
1724    _NOEXCEPT_(is_nothrow_move_assignable<value_compare>::value &&
1725               is_nothrow_move_assignable<__node_allocator>::value)
1726{
1727    destroy(static_cast<__node_pointer>(__end_node()->__left_));
1728    __begin_node_ = __t.__begin_node_;
1729    __pair1_.first() = __t.__pair1_.first();
1730    __move_assign_alloc(__t);
1731    __pair3_ = _VSTD::move(__t.__pair3_);
1732    if (size() == 0)
1733        __begin_node() = __end_node();
1734    else
1735    {
1736        __end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__end_node());
1737        __t.__begin_node() = __t.__end_node();
1738        __t.__end_node()->__left_ = nullptr;
1739        __t.size() = 0;
1740    }
1741}
1742
1743template <class _Tp, class _Compare, class _Allocator>
1744void
1745__tree<_Tp, _Compare, _Allocator>::__move_assign(__tree& __t, false_type)
1746{
1747    if (__node_alloc() == __t.__node_alloc())
1748        __move_assign(__t, true_type());
1749    else
1750    {
1751        value_comp() = _VSTD::move(__t.value_comp());
1752        const_iterator __e = end();
1753        if (size() != 0)
1754        {
1755            __node_pointer __cache = __detach();
1756#ifndef _LIBCPP_NO_EXCEPTIONS
1757            try
1758            {
1759#endif  // _LIBCPP_NO_EXCEPTIONS
1760                while (__cache != nullptr && __t.size() != 0)
1761                {
1762                    __cache->__value_ = _VSTD::move(__t.remove(__t.begin())->__value_);
1763                    __node_pointer __next = __detach(__cache);
1764                    __node_insert_multi(__cache);
1765                    __cache = __next;
1766                }
1767#ifndef _LIBCPP_NO_EXCEPTIONS
1768            }
1769            catch (...)
1770            {
1771                while (__cache->__parent_ != nullptr)
1772                    __cache = static_cast<__node_pointer>(__cache->__parent_);
1773                destroy(__cache);
1774                throw;
1775            }
1776#endif  // _LIBCPP_NO_EXCEPTIONS
1777            if (__cache != nullptr)
1778            {
1779                while (__cache->__parent_ != nullptr)
1780                    __cache = static_cast<__node_pointer>(__cache->__parent_);
1781                destroy(__cache);
1782            }
1783        }
1784        while (__t.size() != 0)
1785            __insert_multi(__e, _NodeTypes::__move(__t.remove(__t.begin())->__value_));
1786    }
1787}
1788
1789template <class _Tp, class _Compare, class _Allocator>
1790__tree<_Tp, _Compare, _Allocator>&
1791__tree<_Tp, _Compare, _Allocator>::operator=(__tree&& __t)
1792    _NOEXCEPT_(
1793        __node_traits::propagate_on_container_move_assignment::value &&
1794        is_nothrow_move_assignable<value_compare>::value &&
1795        is_nothrow_move_assignable<__node_allocator>::value)
1796
1797{
1798    __move_assign(__t, integral_constant<bool,
1799                  __node_traits::propagate_on_container_move_assignment::value>());
1800    return *this;
1801}
1802
1803#endif  // _LIBCPP_CXX03_LANG
1804
1805template <class _Tp, class _Compare, class _Allocator>
1806__tree<_Tp, _Compare, _Allocator>::~__tree()
1807{
1808    static_assert((is_copy_constructible<value_compare>::value),
1809                 "Comparator must be copy-constructible.");
1810#ifndef _LIBCPP_CXX03_LANG
1811    static_assert((__diagnose_tree_helper<_Tp, _Compare, _Allocator>::
1812                     __trigger_diagnostics()), "");
1813#endif
1814  destroy(__root());
1815}
1816
1817template <class _Tp, class _Compare, class _Allocator>
1818void
1819__tree<_Tp, _Compare, _Allocator>::destroy(__node_pointer __nd) _NOEXCEPT
1820{
1821    if (__nd != nullptr)
1822    {
1823        destroy(static_cast<__node_pointer>(__nd->__left_));
1824        destroy(static_cast<__node_pointer>(__nd->__right_));
1825        __node_allocator& __na = __node_alloc();
1826        __node_traits::destroy(__na, _NodeTypes::__get_ptr(__nd->__value_));
1827        __node_traits::deallocate(__na, __nd, 1);
1828    }
1829}
1830
1831template <class _Tp, class _Compare, class _Allocator>
1832void
1833__tree<_Tp, _Compare, _Allocator>::swap(__tree& __t)
1834#if _LIBCPP_STD_VER <= 11
1835        _NOEXCEPT_(
1836            __is_nothrow_swappable<value_compare>::value
1837            && (!__node_traits::propagate_on_container_swap::value ||
1838                 __is_nothrow_swappable<__node_allocator>::value)
1839            )
1840#else
1841        _NOEXCEPT_(__is_nothrow_swappable<value_compare>::value)
1842#endif
1843{
1844    using _VSTD::swap;
1845    swap(__begin_node_, __t.__begin_node_);
1846    swap(__pair1_.first(), __t.__pair1_.first());
1847    __swap_allocator(__node_alloc(), __t.__node_alloc());
1848    __pair3_.swap(__t.__pair3_);
1849    if (size() == 0)
1850        __begin_node() = __end_node();
1851    else
1852        __end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__end_node());
1853    if (__t.size() == 0)
1854        __t.__begin_node() = __t.__end_node();
1855    else
1856        __t.__end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__t.__end_node());
1857}
1858
1859template <class _Tp, class _Compare, class _Allocator>
1860void
1861__tree<_Tp, _Compare, _Allocator>::clear() _NOEXCEPT
1862{
1863    destroy(__root());
1864    size() = 0;
1865    __begin_node() = __end_node();
1866    __end_node()->__left_ = nullptr;
1867}
1868
1869// Find lower_bound place to insert
1870// Set __parent to parent of null leaf
1871// Return reference to null leaf
1872template <class _Tp, class _Compare, class _Allocator>
1873typename __tree<_Tp, _Compare, _Allocator>::__node_base_pointer&
1874__tree<_Tp, _Compare, _Allocator>::__find_leaf_low(__parent_pointer& __parent,
1875                                                   const key_type& __v)
1876{
1877    __node_pointer __nd = __root();
1878    if (__nd != nullptr)
1879    {
1880        while (true)
1881        {
1882            if (value_comp()(__nd->__value_, __v))
1883            {
1884                if (__nd->__right_ != nullptr)
1885                    __nd = static_cast<__node_pointer>(__nd->__right_);
1886                else
1887                {
1888                    __parent = static_cast<__parent_pointer>(__nd);
1889                    return __nd->__right_;
1890                }
1891            }
1892            else
1893            {
1894                if (__nd->__left_ != nullptr)
1895                    __nd = static_cast<__node_pointer>(__nd->__left_);
1896                else
1897                {
1898                    __parent = static_cast<__parent_pointer>(__nd);
1899                    return __parent->__left_;
1900                }
1901            }
1902        }
1903    }
1904    __parent = static_cast<__parent_pointer>(__end_node());
1905    return __parent->__left_;
1906}
1907
1908// Find upper_bound place to insert
1909// Set __parent to parent of null leaf
1910// Return reference to null leaf
1911template <class _Tp, class _Compare, class _Allocator>
1912typename __tree<_Tp, _Compare, _Allocator>::__node_base_pointer&
1913__tree<_Tp, _Compare, _Allocator>::__find_leaf_high(__parent_pointer& __parent,
1914                                                    const key_type& __v)
1915{
1916    __node_pointer __nd = __root();
1917    if (__nd != nullptr)
1918    {
1919        while (true)
1920        {
1921            if (value_comp()(__v, __nd->__value_))
1922            {
1923                if (__nd->__left_ != nullptr)
1924                    __nd = static_cast<__node_pointer>(__nd->__left_);
1925                else
1926                {
1927                    __parent = static_cast<__parent_pointer>(__nd);
1928                    return __parent->__left_;
1929                }
1930            }
1931            else
1932            {
1933                if (__nd->__right_ != nullptr)
1934                    __nd = static_cast<__node_pointer>(__nd->__right_);
1935                else
1936                {
1937                    __parent = static_cast<__parent_pointer>(__nd);
1938                    return __nd->__right_;
1939                }
1940            }
1941        }
1942    }
1943    __parent = static_cast<__parent_pointer>(__end_node());
1944    return __parent->__left_;
1945}
1946
1947// Find leaf place to insert closest to __hint
1948// First check prior to __hint.
1949// Next check after __hint.
1950// Next do O(log N) search.
1951// Set __parent to parent of null leaf
1952// Return reference to null leaf
1953template <class _Tp, class _Compare, class _Allocator>
1954typename __tree<_Tp, _Compare, _Allocator>::__node_base_pointer&
1955__tree<_Tp, _Compare, _Allocator>::__find_leaf(const_iterator __hint,
1956                                               __parent_pointer& __parent,
1957                                               const key_type& __v)
1958{
1959    if (__hint == end() || !value_comp()(*__hint, __v))  // check before
1960    {
1961        // __v <= *__hint
1962        const_iterator __prior = __hint;
1963        if (__prior == begin() || !value_comp()(__v, *--__prior))
1964        {
1965            // *prev(__hint) <= __v <= *__hint
1966            if (__hint.__ptr_->__left_ == nullptr)
1967            {
1968                __parent = static_cast<__parent_pointer>(__hint.__ptr_);
1969                return __parent->__left_;
1970            }
1971            else
1972            {
1973                __parent = static_cast<__parent_pointer>(__prior.__ptr_);
1974                return static_cast<__node_base_pointer>(__prior.__ptr_)->__right_;
1975            }
1976        }
1977        // __v < *prev(__hint)
1978        return __find_leaf_high(__parent, __v);
1979    }
1980    // else __v > *__hint
1981    return __find_leaf_low(__parent, __v);
1982}
1983
1984// Find place to insert if __v doesn't exist
1985// Set __parent to parent of null leaf
1986// Return reference to null leaf
1987// If __v exists, set parent to node of __v and return reference to node of __v
1988template <class _Tp, class _Compare, class _Allocator>
1989template <class _Key>
1990typename __tree<_Tp, _Compare, _Allocator>::__node_base_pointer&
1991__tree<_Tp, _Compare, _Allocator>::__find_equal(__parent_pointer& __parent,
1992                                                const _Key& __v)
1993{
1994    __node_pointer __nd = __root();
1995    __node_base_pointer* __nd_ptr = __root_ptr();
1996    if (__nd != nullptr)
1997    {
1998        while (true)
1999        {
2000            if (value_comp()(__v, __nd->__value_))
2001            {
2002                if (__nd->__left_ != nullptr) {
2003                    __nd_ptr = _VSTD::addressof(__nd->__left_);
2004                    __nd = static_cast<__node_pointer>(__nd->__left_);
2005                } else {
2006                    __parent = static_cast<__parent_pointer>(__nd);
2007                    return __parent->__left_;
2008                }
2009            }
2010            else if (value_comp()(__nd->__value_, __v))
2011            {
2012                if (__nd->__right_ != nullptr) {
2013                    __nd_ptr = _VSTD::addressof(__nd->__right_);
2014                    __nd = static_cast<__node_pointer>(__nd->__right_);
2015                } else {
2016                    __parent = static_cast<__parent_pointer>(__nd);
2017                    return __nd->__right_;
2018                }
2019            }
2020            else
2021            {
2022                __parent = static_cast<__parent_pointer>(__nd);
2023                return *__nd_ptr;
2024            }
2025        }
2026    }
2027    __parent = static_cast<__parent_pointer>(__end_node());
2028    return __parent->__left_;
2029}
2030
2031// Find place to insert if __v doesn't exist
2032// First check prior to __hint.
2033// Next check after __hint.
2034// Next do O(log N) search.
2035// Set __parent to parent of null leaf
2036// Return reference to null leaf
2037// If __v exists, set parent to node of __v and return reference to node of __v
2038template <class _Tp, class _Compare, class _Allocator>
2039template <class _Key>
2040typename __tree<_Tp, _Compare, _Allocator>::__node_base_pointer&
2041__tree<_Tp, _Compare, _Allocator>::__find_equal(const_iterator __hint,
2042                                                __parent_pointer& __parent,
2043                                                __node_base_pointer& __dummy,
2044                                                const _Key& __v)
2045{
2046    if (__hint == end() || value_comp()(__v, *__hint))  // check before
2047    {
2048        // __v < *__hint
2049        const_iterator __prior = __hint;
2050        if (__prior == begin() || value_comp()(*--__prior, __v))
2051        {
2052            // *prev(__hint) < __v < *__hint
2053            if (__hint.__ptr_->__left_ == nullptr)
2054            {
2055                __parent = static_cast<__parent_pointer>(__hint.__ptr_);
2056                return __parent->__left_;
2057            }
2058            else
2059            {
2060                __parent = static_cast<__parent_pointer>(__prior.__ptr_);
2061                return static_cast<__node_base_pointer>(__prior.__ptr_)->__right_;
2062            }
2063        }
2064        // __v <= *prev(__hint)
2065        return __find_equal(__parent, __v);
2066    }
2067    else if (value_comp()(*__hint, __v))  // check after
2068    {
2069        // *__hint < __v
2070        const_iterator __next = _VSTD::next(__hint);
2071        if (__next == end() || value_comp()(__v, *__next))
2072        {
2073            // *__hint < __v < *_VSTD::next(__hint)
2074            if (__hint.__get_np()->__right_ == nullptr)
2075            {
2076                __parent = static_cast<__parent_pointer>(__hint.__ptr_);
2077                return static_cast<__node_base_pointer>(__hint.__ptr_)->__right_;
2078            }
2079            else
2080            {
2081                __parent = static_cast<__parent_pointer>(__next.__ptr_);
2082                return __parent->__left_;
2083            }
2084        }
2085        // *next(__hint) <= __v
2086        return __find_equal(__parent, __v);
2087    }
2088    // else __v == *__hint
2089    __parent = static_cast<__parent_pointer>(__hint.__ptr_);
2090    __dummy = static_cast<__node_base_pointer>(__hint.__ptr_);
2091    return __dummy;
2092}
2093
2094template <class _Tp, class _Compare, class _Allocator>
2095void
2096__tree<_Tp, _Compare, _Allocator>::__insert_node_at(__parent_pointer     __parent,
2097                                                    __node_base_pointer& __child,
2098                                                    __node_base_pointer  __new_node)
2099{
2100    __new_node->__left_   = nullptr;
2101    __new_node->__right_  = nullptr;
2102    __new_node->__parent_ = __parent;
2103    // __new_node->__is_black_ is initialized in __tree_balance_after_insert
2104    __child = __new_node;
2105    if (__begin_node()->__left_ != nullptr)
2106        __begin_node() = static_cast<__iter_pointer>(__begin_node()->__left_);
2107    __tree_balance_after_insert(__end_node()->__left_, __child);
2108    ++size();
2109}
2110
2111#ifndef _LIBCPP_CXX03_LANG
2112template <class _Tp, class _Compare, class _Allocator>
2113template <class _Key, class... _Args>
2114pair<typename __tree<_Tp, _Compare, _Allocator>::iterator, bool>
2115__tree<_Tp, _Compare, _Allocator>::__emplace_unique_key_args(_Key const& __k, _Args&&... __args)
2116#else
2117template <class _Tp, class _Compare, class _Allocator>
2118template <class _Key, class _Args>
2119pair<typename __tree<_Tp, _Compare, _Allocator>::iterator, bool>
2120__tree<_Tp, _Compare, _Allocator>::__emplace_unique_key_args(_Key const& __k, _Args& __args)
2121#endif
2122{
2123    __parent_pointer __parent;
2124    __node_base_pointer& __child = __find_equal(__parent, __k);
2125    __node_pointer __r = static_cast<__node_pointer>(__child);
2126    bool __inserted = false;
2127    if (__child == nullptr)
2128    {
2129#ifndef _LIBCPP_CXX03_LANG
2130        __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2131#else
2132        __node_holder __h = __construct_node(__args);
2133#endif
2134        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2135        __r = __h.release();
2136        __inserted = true;
2137    }
2138    return pair<iterator, bool>(iterator(__r), __inserted);
2139}
2140
2141
2142#ifndef _LIBCPP_CXX03_LANG
2143template <class _Tp, class _Compare, class _Allocator>
2144template <class _Key, class... _Args>
2145typename __tree<_Tp, _Compare, _Allocator>::iterator
2146__tree<_Tp, _Compare, _Allocator>::__emplace_hint_unique_key_args(
2147    const_iterator __p, _Key const& __k, _Args&&... __args)
2148#else
2149template <class _Tp, class _Compare, class _Allocator>
2150template <class _Key, class _Args>
2151typename __tree<_Tp, _Compare, _Allocator>::iterator
2152__tree<_Tp, _Compare, _Allocator>::__emplace_hint_unique_key_args(
2153    const_iterator __p, _Key const& __k, _Args& __args)
2154#endif
2155{
2156    __parent_pointer __parent;
2157    __node_base_pointer __dummy;
2158    __node_base_pointer& __child = __find_equal(__p, __parent, __dummy, __k);
2159    __node_pointer __r = static_cast<__node_pointer>(__child);
2160    if (__child == nullptr)
2161    {
2162#ifndef _LIBCPP_CXX03_LANG
2163        __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2164#else
2165        __node_holder __h = __construct_node(__args);
2166#endif
2167        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2168        __r = __h.release();
2169    }
2170    return iterator(__r);
2171}
2172
2173
2174#ifndef _LIBCPP_CXX03_LANG
2175
2176template <class _Tp, class _Compare, class _Allocator>
2177template <class ..._Args>
2178typename __tree<_Tp, _Compare, _Allocator>::__node_holder
2179__tree<_Tp, _Compare, _Allocator>::__construct_node(_Args&& ...__args)
2180{
2181    static_assert(!__is_tree_value_type<_Args...>::value,
2182                  "Cannot construct from __value_type");
2183    __node_allocator& __na = __node_alloc();
2184    __node_holder __h(__node_traits::allocate(__na, 1), _Dp(__na));
2185    __node_traits::construct(__na, _NodeTypes::__get_ptr(__h->__value_), _VSTD::forward<_Args>(__args)...);
2186    __h.get_deleter().__value_constructed = true;
2187    return __h;
2188}
2189
2190
2191template <class _Tp, class _Compare, class _Allocator>
2192template <class... _Args>
2193pair<typename __tree<_Tp, _Compare, _Allocator>::iterator, bool>
2194__tree<_Tp, _Compare, _Allocator>::__emplace_unique_impl(_Args&&... __args)
2195{
2196    __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2197    __parent_pointer __parent;
2198    __node_base_pointer& __child = __find_equal(__parent, __h->__value_);
2199    __node_pointer __r = static_cast<__node_pointer>(__child);
2200    bool __inserted = false;
2201    if (__child == nullptr)
2202    {
2203        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2204        __r = __h.release();
2205        __inserted = true;
2206    }
2207    return pair<iterator, bool>(iterator(__r), __inserted);
2208}
2209
2210template <class _Tp, class _Compare, class _Allocator>
2211template <class... _Args>
2212typename __tree<_Tp, _Compare, _Allocator>::iterator
2213__tree<_Tp, _Compare, _Allocator>::__emplace_hint_unique_impl(const_iterator __p, _Args&&... __args)
2214{
2215    __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2216    __parent_pointer __parent;
2217    __node_base_pointer __dummy;
2218    __node_base_pointer& __child = __find_equal(__p, __parent, __dummy, __h->__value_);
2219    __node_pointer __r = static_cast<__node_pointer>(__child);
2220    if (__child == nullptr)
2221    {
2222        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2223        __r = __h.release();
2224    }
2225    return iterator(__r);
2226}
2227
2228template <class _Tp, class _Compare, class _Allocator>
2229template <class... _Args>
2230typename __tree<_Tp, _Compare, _Allocator>::iterator
2231__tree<_Tp, _Compare, _Allocator>::__emplace_multi(_Args&&... __args)
2232{
2233    __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2234    __parent_pointer __parent;
2235    __node_base_pointer& __child = __find_leaf_high(__parent, _NodeTypes::__get_key(__h->__value_));
2236    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2237    return iterator(static_cast<__node_pointer>(__h.release()));
2238}
2239
2240template <class _Tp, class _Compare, class _Allocator>
2241template <class... _Args>
2242typename __tree<_Tp, _Compare, _Allocator>::iterator
2243__tree<_Tp, _Compare, _Allocator>::__emplace_hint_multi(const_iterator __p,
2244                                                        _Args&&... __args)
2245{
2246    __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2247    __parent_pointer __parent;
2248    __node_base_pointer& __child = __find_leaf(__p, __parent, _NodeTypes::__get_key(__h->__value_));
2249    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2250    return iterator(static_cast<__node_pointer>(__h.release()));
2251}
2252
2253
2254#else  // _LIBCPP_CXX03_LANG
2255
2256template <class _Tp, class _Compare, class _Allocator>
2257typename __tree<_Tp, _Compare, _Allocator>::__node_holder
2258__tree<_Tp, _Compare, _Allocator>::__construct_node(const __container_value_type& __v)
2259{
2260    __node_allocator& __na = __node_alloc();
2261    __node_holder __h(__node_traits::allocate(__na, 1), _Dp(__na));
2262    __node_traits::construct(__na, _NodeTypes::__get_ptr(__h->__value_), __v);
2263    __h.get_deleter().__value_constructed = true;
2264    return _LIBCPP_EXPLICIT_MOVE(__h);  // explicitly moved for C++03
2265}
2266
2267#endif  // _LIBCPP_CXX03_LANG
2268
2269#ifdef _LIBCPP_CXX03_LANG
2270template <class _Tp, class _Compare, class _Allocator>
2271typename __tree<_Tp, _Compare, _Allocator>::iterator
2272__tree<_Tp, _Compare, _Allocator>::__insert_multi(const __container_value_type& __v)
2273{
2274    __parent_pointer __parent;
2275    __node_base_pointer& __child = __find_leaf_high(__parent, _NodeTypes::__get_key(__v));
2276    __node_holder __h = __construct_node(__v);
2277    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2278    return iterator(__h.release());
2279}
2280
2281template <class _Tp, class _Compare, class _Allocator>
2282typename __tree<_Tp, _Compare, _Allocator>::iterator
2283__tree<_Tp, _Compare, _Allocator>::__insert_multi(const_iterator __p, const __container_value_type& __v)
2284{
2285    __parent_pointer __parent;
2286    __node_base_pointer& __child = __find_leaf(__p, __parent, _NodeTypes::__get_key(__v));
2287    __node_holder __h = __construct_node(__v);
2288    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2289    return iterator(__h.release());
2290}
2291#endif
2292
2293template <class _Tp, class _Compare, class _Allocator>
2294pair<typename __tree<_Tp, _Compare, _Allocator>::iterator, bool>
2295__tree<_Tp, _Compare, _Allocator>::__node_insert_unique(__node_pointer __nd)
2296{
2297    __parent_pointer __parent;
2298    __node_base_pointer& __child = __find_equal(__parent, __nd->__value_);
2299    __node_pointer __r = static_cast<__node_pointer>(__child);
2300    bool __inserted = false;
2301    if (__child == nullptr)
2302    {
2303        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__nd));
2304        __r = __nd;
2305        __inserted = true;
2306    }
2307    return pair<iterator, bool>(iterator(__r), __inserted);
2308}
2309
2310template <class _Tp, class _Compare, class _Allocator>
2311typename __tree<_Tp, _Compare, _Allocator>::iterator
2312__tree<_Tp, _Compare, _Allocator>::__node_insert_unique(const_iterator __p,
2313                                                        __node_pointer __nd)
2314{
2315    __parent_pointer __parent;
2316    __node_base_pointer __dummy;
2317    __node_base_pointer& __child = __find_equal(__p, __parent, __nd->__value_);
2318    __node_pointer __r = static_cast<__node_pointer>(__child);
2319    if (__child == nullptr)
2320    {
2321        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__nd));
2322        __r = __nd;
2323    }
2324    return iterator(__r);
2325}
2326
2327template <class _Tp, class _Compare, class _Allocator>
2328typename __tree<_Tp, _Compare, _Allocator>::iterator
2329__tree<_Tp, _Compare, _Allocator>::__node_insert_multi(__node_pointer __nd)
2330{
2331    __parent_pointer __parent;
2332    __node_base_pointer& __child = __find_leaf_high(__parent, _NodeTypes::__get_key(__nd->__value_));
2333    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__nd));
2334    return iterator(__nd);
2335}
2336
2337template <class _Tp, class _Compare, class _Allocator>
2338typename __tree<_Tp, _Compare, _Allocator>::iterator
2339__tree<_Tp, _Compare, _Allocator>::__node_insert_multi(const_iterator __p,
2340                                                       __node_pointer __nd)
2341{
2342    __parent_pointer __parent;
2343    __node_base_pointer& __child = __find_leaf(__p, __parent, _NodeTypes::__get_key(__nd->__value_));
2344    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__nd));
2345    return iterator(__nd);
2346}
2347
2348template <class _Tp, class _Compare, class _Allocator>
2349typename __tree<_Tp, _Compare, _Allocator>::iterator
2350__tree<_Tp, _Compare, _Allocator>::erase(const_iterator __p)
2351{
2352    __node_pointer __np = __p.__get_np();
2353    iterator __r(__p.__ptr_);
2354    ++__r;
2355    if (__begin_node() == __p.__ptr_)
2356        __begin_node() = __r.__ptr_;
2357    --size();
2358    __node_allocator& __na = __node_alloc();
2359    __tree_remove(__end_node()->__left_,
2360                  static_cast<__node_base_pointer>(__np));
2361    __node_traits::destroy(__na, _NodeTypes::__get_ptr(
2362        const_cast<__node_value_type&>(*__p)));
2363    __node_traits::deallocate(__na, __np, 1);
2364    return __r;
2365}
2366
2367template <class _Tp, class _Compare, class _Allocator>
2368typename __tree<_Tp, _Compare, _Allocator>::iterator
2369__tree<_Tp, _Compare, _Allocator>::erase(const_iterator __f, const_iterator __l)
2370{
2371    while (__f != __l)
2372        __f = erase(__f);
2373    return iterator(__l.__ptr_);
2374}
2375
2376template <class _Tp, class _Compare, class _Allocator>
2377template <class _Key>
2378typename __tree<_Tp, _Compare, _Allocator>::size_type
2379__tree<_Tp, _Compare, _Allocator>::__erase_unique(const _Key& __k)
2380{
2381    iterator __i = find(__k);
2382    if (__i == end())
2383        return 0;
2384    erase(__i);
2385    return 1;
2386}
2387
2388template <class _Tp, class _Compare, class _Allocator>
2389template <class _Key>
2390typename __tree<_Tp, _Compare, _Allocator>::size_type
2391__tree<_Tp, _Compare, _Allocator>::__erase_multi(const _Key& __k)
2392{
2393    pair<iterator, iterator> __p = __equal_range_multi(__k);
2394    size_type __r = 0;
2395    for (; __p.first != __p.second; ++__r)
2396        __p.first = erase(__p.first);
2397    return __r;
2398}
2399
2400template <class _Tp, class _Compare, class _Allocator>
2401template <class _Key>
2402typename __tree<_Tp, _Compare, _Allocator>::iterator
2403__tree<_Tp, _Compare, _Allocator>::find(const _Key& __v)
2404{
2405    iterator __p = __lower_bound(__v, __root(), __end_node());
2406    if (__p != end() && !value_comp()(__v, *__p))
2407        return __p;
2408    return end();
2409}
2410
2411template <class _Tp, class _Compare, class _Allocator>
2412template <class _Key>
2413typename __tree<_Tp, _Compare, _Allocator>::const_iterator
2414__tree<_Tp, _Compare, _Allocator>::find(const _Key& __v) const
2415{
2416    const_iterator __p = __lower_bound(__v, __root(), __end_node());
2417    if (__p != end() && !value_comp()(__v, *__p))
2418        return __p;
2419    return end();
2420}
2421
2422template <class _Tp, class _Compare, class _Allocator>
2423template <class _Key>
2424typename __tree<_Tp, _Compare, _Allocator>::size_type
2425__tree<_Tp, _Compare, _Allocator>::__count_unique(const _Key& __k) const
2426{
2427    __node_pointer __rt = __root();
2428    while (__rt != nullptr)
2429    {
2430        if (value_comp()(__k, __rt->__value_))
2431        {
2432            __rt = static_cast<__node_pointer>(__rt->__left_);
2433        }
2434        else if (value_comp()(__rt->__value_, __k))
2435            __rt = static_cast<__node_pointer>(__rt->__right_);
2436        else
2437            return 1;
2438    }
2439    return 0;
2440}
2441
2442template <class _Tp, class _Compare, class _Allocator>
2443template <class _Key>
2444typename __tree<_Tp, _Compare, _Allocator>::size_type
2445__tree<_Tp, _Compare, _Allocator>::__count_multi(const _Key& __k) const
2446{
2447    __iter_pointer __result = __end_node();
2448    __node_pointer __rt = __root();
2449    while (__rt != nullptr)
2450    {
2451        if (value_comp()(__k, __rt->__value_))
2452        {
2453            __result = static_cast<__iter_pointer>(__rt);
2454            __rt = static_cast<__node_pointer>(__rt->__left_);
2455        }
2456        else if (value_comp()(__rt->__value_, __k))
2457            __rt = static_cast<__node_pointer>(__rt->__right_);
2458        else
2459            return _VSTD::distance(
2460                __lower_bound(__k, static_cast<__node_pointer>(__rt->__left_), static_cast<__iter_pointer>(__rt)),
2461                __upper_bound(__k, static_cast<__node_pointer>(__rt->__right_), __result)
2462            );
2463    }
2464    return 0;
2465}
2466
2467template <class _Tp, class _Compare, class _Allocator>
2468template <class _Key>
2469typename __tree<_Tp, _Compare, _Allocator>::iterator
2470__tree<_Tp, _Compare, _Allocator>::__lower_bound(const _Key& __v,
2471                                                 __node_pointer __root,
2472                                                 __iter_pointer __result)
2473{
2474    while (__root != nullptr)
2475    {
2476        if (!value_comp()(__root->__value_, __v))
2477        {
2478            __result = static_cast<__iter_pointer>(__root);
2479            __root = static_cast<__node_pointer>(__root->__left_);
2480        }
2481        else
2482            __root = static_cast<__node_pointer>(__root->__right_);
2483    }
2484    return iterator(__result);
2485}
2486
2487template <class _Tp, class _Compare, class _Allocator>
2488template <class _Key>
2489typename __tree<_Tp, _Compare, _Allocator>::const_iterator
2490__tree<_Tp, _Compare, _Allocator>::__lower_bound(const _Key& __v,
2491                                                 __node_pointer __root,
2492                                                 __iter_pointer __result) const
2493{
2494    while (__root != nullptr)
2495    {
2496        if (!value_comp()(__root->__value_, __v))
2497        {
2498            __result = static_cast<__iter_pointer>(__root);
2499            __root = static_cast<__node_pointer>(__root->__left_);
2500        }
2501        else
2502            __root = static_cast<__node_pointer>(__root->__right_);
2503    }
2504    return const_iterator(__result);
2505}
2506
2507template <class _Tp, class _Compare, class _Allocator>
2508template <class _Key>
2509typename __tree<_Tp, _Compare, _Allocator>::iterator
2510__tree<_Tp, _Compare, _Allocator>::__upper_bound(const _Key& __v,
2511                                                 __node_pointer __root,
2512                                                 __iter_pointer __result)
2513{
2514    while (__root != nullptr)
2515    {
2516        if (value_comp()(__v, __root->__value_))
2517        {
2518            __result = static_cast<__iter_pointer>(__root);
2519            __root = static_cast<__node_pointer>(__root->__left_);
2520        }
2521        else
2522            __root = static_cast<__node_pointer>(__root->__right_);
2523    }
2524    return iterator(__result);
2525}
2526
2527template <class _Tp, class _Compare, class _Allocator>
2528template <class _Key>
2529typename __tree<_Tp, _Compare, _Allocator>::const_iterator
2530__tree<_Tp, _Compare, _Allocator>::__upper_bound(const _Key& __v,
2531                                                 __node_pointer __root,
2532                                                 __iter_pointer __result) const
2533{
2534    while (__root != nullptr)
2535    {
2536        if (value_comp()(__v, __root->__value_))
2537        {
2538            __result = static_cast<__iter_pointer>(__root);
2539            __root = static_cast<__node_pointer>(__root->__left_);
2540        }
2541        else
2542            __root = static_cast<__node_pointer>(__root->__right_);
2543    }
2544    return const_iterator(__result);
2545}
2546
2547template <class _Tp, class _Compare, class _Allocator>
2548template <class _Key>
2549pair<typename __tree<_Tp, _Compare, _Allocator>::iterator,
2550     typename __tree<_Tp, _Compare, _Allocator>::iterator>
2551__tree<_Tp, _Compare, _Allocator>::__equal_range_unique(const _Key& __k)
2552{
2553    typedef pair<iterator, iterator> _Pp;
2554    __iter_pointer __result = __end_node();
2555    __node_pointer __rt = __root();
2556    while (__rt != nullptr)
2557    {
2558        if (value_comp()(__k, __rt->__value_))
2559        {
2560            __result = static_cast<__iter_pointer>(__rt);
2561            __rt = static_cast<__node_pointer>(__rt->__left_);
2562        }
2563        else if (value_comp()(__rt->__value_, __k))
2564            __rt = static_cast<__node_pointer>(__rt->__right_);
2565        else
2566            return _Pp(iterator(__rt),
2567                      iterator(
2568                          __rt->__right_ != nullptr ?
2569                              static_cast<__iter_pointer>(__tree_min(__rt->__right_))
2570                            : __result));
2571    }
2572    return _Pp(iterator(__result), iterator(__result));
2573}
2574
2575template <class _Tp, class _Compare, class _Allocator>
2576template <class _Key>
2577pair<typename __tree<_Tp, _Compare, _Allocator>::const_iterator,
2578     typename __tree<_Tp, _Compare, _Allocator>::const_iterator>
2579__tree<_Tp, _Compare, _Allocator>::__equal_range_unique(const _Key& __k) const
2580{
2581    typedef pair<const_iterator, const_iterator> _Pp;
2582    __iter_pointer __result = __end_node();
2583    __node_pointer __rt = __root();
2584    while (__rt != nullptr)
2585    {
2586        if (value_comp()(__k, __rt->__value_))
2587        {
2588            __result = static_cast<__iter_pointer>(__rt);
2589            __rt = static_cast<__node_pointer>(__rt->__left_);
2590        }
2591        else if (value_comp()(__rt->__value_, __k))
2592            __rt = static_cast<__node_pointer>(__rt->__right_);
2593        else
2594            return _Pp(const_iterator(__rt),
2595                      const_iterator(
2596                          __rt->__right_ != nullptr ?
2597                              static_cast<__iter_pointer>(__tree_min(__rt->__right_))
2598                            : __result));
2599    }
2600    return _Pp(const_iterator(__result), const_iterator(__result));
2601}
2602
2603template <class _Tp, class _Compare, class _Allocator>
2604template <class _Key>
2605pair<typename __tree<_Tp, _Compare, _Allocator>::iterator,
2606     typename __tree<_Tp, _Compare, _Allocator>::iterator>
2607__tree<_Tp, _Compare, _Allocator>::__equal_range_multi(const _Key& __k)
2608{
2609    typedef pair<iterator, iterator> _Pp;
2610    __iter_pointer __result = __end_node();
2611    __node_pointer __rt = __root();
2612    while (__rt != nullptr)
2613    {
2614        if (value_comp()(__k, __rt->__value_))
2615        {
2616            __result = static_cast<__iter_pointer>(__rt);
2617            __rt = static_cast<__node_pointer>(__rt->__left_);
2618        }
2619        else if (value_comp()(__rt->__value_, __k))
2620            __rt = static_cast<__node_pointer>(__rt->__right_);
2621        else
2622            return _Pp(__lower_bound(__k, static_cast<__node_pointer>(__rt->__left_), static_cast<__iter_pointer>(__rt)),
2623                      __upper_bound(__k, static_cast<__node_pointer>(__rt->__right_), __result));
2624    }
2625    return _Pp(iterator(__result), iterator(__result));
2626}
2627
2628template <class _Tp, class _Compare, class _Allocator>
2629template <class _Key>
2630pair<typename __tree<_Tp, _Compare, _Allocator>::const_iterator,
2631     typename __tree<_Tp, _Compare, _Allocator>::const_iterator>
2632__tree<_Tp, _Compare, _Allocator>::__equal_range_multi(const _Key& __k) const
2633{
2634    typedef pair<const_iterator, const_iterator> _Pp;
2635    __iter_pointer __result = __end_node();
2636    __node_pointer __rt = __root();
2637    while (__rt != nullptr)
2638    {
2639        if (value_comp()(__k, __rt->__value_))
2640        {
2641            __result = static_cast<__iter_pointer>(__rt);
2642            __rt = static_cast<__node_pointer>(__rt->__left_);
2643        }
2644        else if (value_comp()(__rt->__value_, __k))
2645            __rt = static_cast<__node_pointer>(__rt->__right_);
2646        else
2647            return _Pp(__lower_bound(__k, static_cast<__node_pointer>(__rt->__left_), static_cast<__iter_pointer>(__rt)),
2648                      __upper_bound(__k, static_cast<__node_pointer>(__rt->__right_), __result));
2649    }
2650    return _Pp(const_iterator(__result), const_iterator(__result));
2651}
2652
2653template <class _Tp, class _Compare, class _Allocator>
2654typename __tree<_Tp, _Compare, _Allocator>::__node_holder
2655__tree<_Tp, _Compare, _Allocator>::remove(const_iterator __p) _NOEXCEPT
2656{
2657    __node_pointer __np = __p.__get_np();
2658    if (__begin_node() == __p.__ptr_)
2659    {
2660        if (__np->__right_ != nullptr)
2661            __begin_node() = static_cast<__iter_pointer>(__np->__right_);
2662        else
2663            __begin_node() = static_cast<__iter_pointer>(__np->__parent_);
2664    }
2665    --size();
2666    __tree_remove(__end_node()->__left_,
2667                  static_cast<__node_base_pointer>(__np));
2668    return __node_holder(__np, _Dp(__node_alloc(), true));
2669}
2670
2671template <class _Tp, class _Compare, class _Allocator>
2672inline _LIBCPP_INLINE_VISIBILITY
2673void
2674swap(__tree<_Tp, _Compare, _Allocator>& __x,
2675     __tree<_Tp, _Compare, _Allocator>& __y)
2676    _NOEXCEPT_(_NOEXCEPT_(__x.swap(__y)))
2677{
2678    __x.swap(__y);
2679}
2680
2681_LIBCPP_END_NAMESPACE_STD
2682
2683_LIBCPP_POP_MACROS
2684
2685#endif  // _LIBCPP___TREE
2686