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
40#ifndef _LIBCPP_CXX03_LANG
41template <class _Key, class _Value>
42union __value_type;
43#else
44template <class _Key, class _Value>
45struct __value_type;
46#endif
47
48template <class _Key, class _CP, class _Compare,
49    bool = is_empty<_Compare>::value && !__libcpp_is_final<_Compare>::value>
50class __map_value_compare;
51
52template <class _Allocator> class __map_node_destructor;
53template <class _TreeIterator> class _LIBCPP_TEMPLATE_VIS __map_iterator;
54template <class _TreeIterator> class _LIBCPP_TEMPLATE_VIS __map_const_iterator;
55
56/*
57
58_NodePtr algorithms
59
60The algorithms taking _NodePtr are red black tree algorithms.  Those
61algorithms taking a parameter named __root should assume that __root
62points to a proper red black tree (unless otherwise specified).
63
64Each algorithm herein assumes that __root->__parent_ points to a non-null
65structure which has a member __left_ which points back to __root.  No other
66member is read or written to at __root->__parent_.
67
68__root->__parent_ will be referred to below (in comments only) as end_node.
69end_node->__left_ is an externably accessible lvalue for __root, and can be
70changed by node insertion and removal (without explicit reference to end_node).
71
72All nodes (with the exception of end_node), even the node referred to as
73__root, have a non-null __parent_ field.
74
75*/
76
77// Returns:  true if __x is a left child of its parent, else false
78// Precondition:  __x != nullptr.
79template <class _NodePtr>
80inline _LIBCPP_INLINE_VISIBILITY
81bool
82__tree_is_left_child(_NodePtr __x) _NOEXCEPT
83{
84    return __x == __x->__parent_->__left_;
85}
86
87// Determines if the subtree rooted at __x is a proper red black subtree.  If
88//    __x is a proper subtree, returns the black height (null counts as 1).  If
89//    __x is an improper subtree, returns 0.
90template <class _NodePtr>
91unsigned
92__tree_sub_invariant(_NodePtr __x)
93{
94    if (__x == nullptr)
95        return 1;
96    // parent consistency checked by caller
97    // check __x->__left_ consistency
98    if (__x->__left_ != nullptr && __x->__left_->__parent_ != __x)
99        return 0;
100    // check __x->__right_ consistency
101    if (__x->__right_ != nullptr && __x->__right_->__parent_ != __x)
102        return 0;
103    // check __x->__left_ != __x->__right_ unless both are nullptr
104    if (__x->__left_ == __x->__right_ && __x->__left_ != nullptr)
105        return 0;
106    // If this is red, neither child can be red
107    if (!__x->__is_black_)
108    {
109        if (__x->__left_ && !__x->__left_->__is_black_)
110            return 0;
111        if (__x->__right_ && !__x->__right_->__is_black_)
112            return 0;
113    }
114    unsigned __h = __tree_sub_invariant(__x->__left_);
115    if (__h == 0)
116        return 0;  // invalid left subtree
117    if (__h != __tree_sub_invariant(__x->__right_))
118        return 0;  // invalid or different height right subtree
119    return __h + __x->__is_black_;  // return black height of this node
120}
121
122// Determines if the red black tree rooted at __root is a proper red black tree.
123//    __root == nullptr is a proper tree.  Returns true is __root is a proper
124//    red black tree, else returns false.
125template <class _NodePtr>
126bool
127__tree_invariant(_NodePtr __root)
128{
129    if (__root == nullptr)
130        return true;
131    // check __x->__parent_ consistency
132    if (__root->__parent_ == nullptr)
133        return false;
134    if (!__tree_is_left_child(__root))
135        return false;
136    // root must be black
137    if (!__root->__is_black_)
138        return false;
139    // do normal node checks
140    return __tree_sub_invariant(__root) != 0;
141}
142
143// Returns:  pointer to the left-most node under __x.
144// Precondition:  __x != nullptr.
145template <class _NodePtr>
146inline _LIBCPP_INLINE_VISIBILITY
147_NodePtr
148__tree_min(_NodePtr __x) _NOEXCEPT
149{
150    while (__x->__left_ != nullptr)
151        __x = __x->__left_;
152    return __x;
153}
154
155// Returns:  pointer to the right-most node under __x.
156// Precondition:  __x != nullptr.
157template <class _NodePtr>
158inline _LIBCPP_INLINE_VISIBILITY
159_NodePtr
160__tree_max(_NodePtr __x) _NOEXCEPT
161{
162    while (__x->__right_ != nullptr)
163        __x = __x->__right_;
164    return __x;
165}
166
167// Returns:  pointer to the next in-order node after __x.
168// Precondition:  __x != nullptr.
169template <class _NodePtr>
170_NodePtr
171__tree_next(_NodePtr __x) _NOEXCEPT
172{
173    if (__x->__right_ != nullptr)
174        return __tree_min(__x->__right_);
175    while (!__tree_is_left_child(__x))
176        __x = __x->__parent_unsafe();
177    return __x->__parent_unsafe();
178}
179
180template <class _EndNodePtr, class _NodePtr>
181inline _LIBCPP_INLINE_VISIBILITY
182_EndNodePtr
183__tree_next_iter(_NodePtr __x) _NOEXCEPT
184{
185    if (__x->__right_ != nullptr)
186        return static_cast<_EndNodePtr>(__tree_min(__x->__right_));
187    while (!__tree_is_left_child(__x))
188        __x = __x->__parent_unsafe();
189    return static_cast<_EndNodePtr>(__x->__parent_);
190}
191
192// Returns:  pointer to the previous in-order node before __x.
193// Precondition:  __x != nullptr.
194// Note: __x may be the end node.
195template <class _NodePtr, class _EndNodePtr>
196inline _LIBCPP_INLINE_VISIBILITY
197_NodePtr
198__tree_prev_iter(_EndNodePtr __x) _NOEXCEPT
199{
200    if (__x->__left_ != nullptr)
201        return __tree_max(__x->__left_);
202    _NodePtr __xx = static_cast<_NodePtr>(__x);
203    while (__tree_is_left_child(__xx))
204        __xx = __xx->__parent_unsafe();
205    return __xx->__parent_unsafe();
206}
207
208// Returns:  pointer to a node which has no children
209// Precondition:  __x != nullptr.
210template <class _NodePtr>
211_NodePtr
212__tree_leaf(_NodePtr __x) _NOEXCEPT
213{
214    while (true)
215    {
216        if (__x->__left_ != nullptr)
217        {
218            __x = __x->__left_;
219            continue;
220        }
221        if (__x->__right_ != nullptr)
222        {
223            __x = __x->__right_;
224            continue;
225        }
226        break;
227    }
228    return __x;
229}
230
231// Effects:  Makes __x->__right_ the subtree root with __x as its left child
232//           while preserving in-order order.
233// Precondition:  __x->__right_ != nullptr
234template <class _NodePtr>
235void
236__tree_left_rotate(_NodePtr __x) _NOEXCEPT
237{
238    _NodePtr __y = __x->__right_;
239    __x->__right_ = __y->__left_;
240    if (__x->__right_ != nullptr)
241        __x->__right_->__set_parent(__x);
242    __y->__parent_ = __x->__parent_;
243    if (__tree_is_left_child(__x))
244        __x->__parent_->__left_ = __y;
245    else
246        __x->__parent_unsafe()->__right_ = __y;
247    __y->__left_ = __x;
248    __x->__set_parent(__y);
249}
250
251// Effects:  Makes __x->__left_ the subtree root with __x as its right child
252//           while preserving in-order order.
253// Precondition:  __x->__left_ != nullptr
254template <class _NodePtr>
255void
256__tree_right_rotate(_NodePtr __x) _NOEXCEPT
257{
258    _NodePtr __y = __x->__left_;
259    __x->__left_ = __y->__right_;
260    if (__x->__left_ != nullptr)
261        __x->__left_->__set_parent(__x);
262    __y->__parent_ = __x->__parent_;
263    if (__tree_is_left_child(__x))
264        __x->__parent_->__left_ = __y;
265    else
266        __x->__parent_unsafe()->__right_ = __y;
267    __y->__right_ = __x;
268    __x->__set_parent(__y);
269}
270
271// Effects:  Rebalances __root after attaching __x to a leaf.
272// Precondition:  __root != nulptr && __x != nullptr.
273//                __x has no children.
274//                __x == __root or == a direct or indirect child of __root.
275//                If __x were to be unlinked from __root (setting __root to
276//                  nullptr if __root == __x), __tree_invariant(__root) == true.
277// Postcondition: __tree_invariant(end_node->__left_) == true.  end_node->__left_
278//                may be different than the value passed in as __root.
279template <class _NodePtr>
280void
281__tree_balance_after_insert(_NodePtr __root, _NodePtr __x) _NOEXCEPT
282{
283    __x->__is_black_ = __x == __root;
284    while (__x != __root && !__x->__parent_unsafe()->__is_black_)
285    {
286        // __x->__parent_ != __root because __x->__parent_->__is_black == false
287        if (__tree_is_left_child(__x->__parent_unsafe()))
288        {
289            _NodePtr __y = __x->__parent_unsafe()->__parent_unsafe()->__right_;
290            if (__y != nullptr && !__y->__is_black_)
291            {
292                __x = __x->__parent_unsafe();
293                __x->__is_black_ = true;
294                __x = __x->__parent_unsafe();
295                __x->__is_black_ = __x == __root;
296                __y->__is_black_ = true;
297            }
298            else
299            {
300                if (!__tree_is_left_child(__x))
301                {
302                    __x = __x->__parent_unsafe();
303                    __tree_left_rotate(__x);
304                }
305                __x = __x->__parent_unsafe();
306                __x->__is_black_ = true;
307                __x = __x->__parent_unsafe();
308                __x->__is_black_ = false;
309                __tree_right_rotate(__x);
310                break;
311            }
312        }
313        else
314        {
315            _NodePtr __y = __x->__parent_unsafe()->__parent_->__left_;
316            if (__y != nullptr && !__y->__is_black_)
317            {
318                __x = __x->__parent_unsafe();
319                __x->__is_black_ = true;
320                __x = __x->__parent_unsafe();
321                __x->__is_black_ = __x == __root;
322                __y->__is_black_ = true;
323            }
324            else
325            {
326                if (__tree_is_left_child(__x))
327                {
328                    __x = __x->__parent_unsafe();
329                    __tree_right_rotate(__x);
330                }
331                __x = __x->__parent_unsafe();
332                __x->__is_black_ = true;
333                __x = __x->__parent_unsafe();
334                __x->__is_black_ = false;
335                __tree_left_rotate(__x);
336                break;
337            }
338        }
339    }
340}
341
342// Precondition:  __root != nullptr && __z != nullptr.
343//                __tree_invariant(__root) == true.
344//                __z == __root or == a direct or indirect child of __root.
345// Effects:  unlinks __z from the tree rooted at __root, rebalancing as needed.
346// Postcondition: __tree_invariant(end_node->__left_) == true && end_node->__left_
347//                nor any of its children refer to __z.  end_node->__left_
348//                may be different than the value passed in as __root.
349template <class _NodePtr>
350void
351__tree_remove(_NodePtr __root, _NodePtr __z) _NOEXCEPT
352{
353    // __z will be removed from the tree.  Client still needs to destruct/deallocate it
354    // __y is either __z, or if __z has two children, __tree_next(__z).
355    // __y will have at most one child.
356    // __y will be the initial hole in the tree (make the hole at a leaf)
357    _NodePtr __y = (__z->__left_ == nullptr || __z->__right_ == nullptr) ?
358                    __z : __tree_next(__z);
359    // __x is __y's possibly null single child
360    _NodePtr __x = __y->__left_ != nullptr ? __y->__left_ : __y->__right_;
361    // __w is __x's possibly null uncle (will become __x's sibling)
362    _NodePtr __w = nullptr;
363    // link __x to __y's parent, and find __w
364    if (__x != nullptr)
365        __x->__parent_ = __y->__parent_;
366    if (__tree_is_left_child(__y))
367    {
368        __y->__parent_->__left_ = __x;
369        if (__y != __root)
370            __w = __y->__parent_unsafe()->__right_;
371        else
372            __root = __x;  // __w == nullptr
373    }
374    else
375    {
376        __y->__parent_unsafe()->__right_ = __x;
377        // __y can't be root if it is a right child
378        __w = __y->__parent_->__left_;
379    }
380    bool __removed_black = __y->__is_black_;
381    // If we didn't remove __z, do so now by splicing in __y for __z,
382    //    but copy __z's color.  This does not impact __x or __w.
383    if (__y != __z)
384    {
385        // __z->__left_ != nulptr but __z->__right_ might == __x == nullptr
386        __y->__parent_ = __z->__parent_;
387        if (__tree_is_left_child(__z))
388            __y->__parent_->__left_ = __y;
389        else
390            __y->__parent_unsafe()->__right_ = __y;
391        __y->__left_ = __z->__left_;
392        __y->__left_->__set_parent(__y);
393        __y->__right_ = __z->__right_;
394        if (__y->__right_ != nullptr)
395            __y->__right_->__set_parent(__y);
396        __y->__is_black_ = __z->__is_black_;
397        if (__root == __z)
398            __root = __y;
399    }
400    // There is no need to rebalance if we removed a red, or if we removed
401    //     the last node.
402    if (__removed_black && __root != nullptr)
403    {
404        // Rebalance:
405        // __x has an implicit black color (transferred from the removed __y)
406        //    associated with it, no matter what its color is.
407        // If __x is __root (in which case it can't be null), it is supposed
408        //    to be black anyway, and if it is doubly black, then the double
409        //    can just be ignored.
410        // If __x is red (in which case it can't be null), then it can absorb
411        //    the implicit black just by setting its color to black.
412        // Since __y was black and only had one child (which __x points to), __x
413        //   is either red with no children, else null, otherwise __y would have
414        //   different black heights under left and right pointers.
415        // if (__x == __root || __x != nullptr && !__x->__is_black_)
416        if (__x != nullptr)
417            __x->__is_black_ = true;
418        else
419        {
420            //  Else __x isn't root, and is "doubly black", even though it may
421            //     be null.  __w can not be null here, else the parent would
422            //     see a black height >= 2 on the __x side and a black height
423            //     of 1 on the __w side (__w must be a non-null black or a red
424            //     with a non-null black child).
425            while (true)
426            {
427                if (!__tree_is_left_child(__w))  // if x is left child
428                {
429                    if (!__w->__is_black_)
430                    {
431                        __w->__is_black_ = true;
432                        __w->__parent_unsafe()->__is_black_ = false;
433                        __tree_left_rotate(__w->__parent_unsafe());
434                        // __x is still valid
435                        // reset __root only if necessary
436                        if (__root == __w->__left_)
437                            __root = __w;
438                        // reset sibling, and it still can't be null
439                        __w = __w->__left_->__right_;
440                    }
441                    // __w->__is_black_ is now true, __w may have null children
442                    if ((__w->__left_  == nullptr || __w->__left_->__is_black_) &&
443                        (__w->__right_ == nullptr || __w->__right_->__is_black_))
444                    {
445                        __w->__is_black_ = false;
446                        __x = __w->__parent_unsafe();
447                        // __x can no longer be null
448                        if (__x == __root || !__x->__is_black_)
449                        {
450                            __x->__is_black_ = true;
451                            break;
452                        }
453                        // reset sibling, and it still can't be null
454                        __w = __tree_is_left_child(__x) ?
455                                    __x->__parent_unsafe()->__right_ :
456                                    __x->__parent_->__left_;
457                        // continue;
458                    }
459                    else  // __w has a red child
460                    {
461                        if (__w->__right_ == nullptr || __w->__right_->__is_black_)
462                        {
463                            // __w left child is non-null and red
464                            __w->__left_->__is_black_ = true;
465                            __w->__is_black_ = false;
466                            __tree_right_rotate(__w);
467                            // __w is known not to be root, so root hasn't changed
468                            // reset sibling, and it still can't be null
469                            __w = __w->__parent_unsafe();
470                        }
471                        // __w has a right red child, left child may be null
472                        __w->__is_black_ = __w->__parent_unsafe()->__is_black_;
473                        __w->__parent_unsafe()->__is_black_ = true;
474                        __w->__right_->__is_black_ = true;
475                        __tree_left_rotate(__w->__parent_unsafe());
476                        break;
477                    }
478                }
479                else
480                {
481                    if (!__w->__is_black_)
482                    {
483                        __w->__is_black_ = true;
484                        __w->__parent_unsafe()->__is_black_ = false;
485                        __tree_right_rotate(__w->__parent_unsafe());
486                        // __x is still valid
487                        // reset __root only if necessary
488                        if (__root == __w->__right_)
489                            __root = __w;
490                        // reset sibling, and it still can't be null
491                        __w = __w->__right_->__left_;
492                    }
493                    // __w->__is_black_ is now true, __w may have null children
494                    if ((__w->__left_  == nullptr || __w->__left_->__is_black_) &&
495                        (__w->__right_ == nullptr || __w->__right_->__is_black_))
496                    {
497                        __w->__is_black_ = false;
498                        __x = __w->__parent_unsafe();
499                        // __x can no longer be null
500                        if (!__x->__is_black_ || __x == __root)
501                        {
502                            __x->__is_black_ = true;
503                            break;
504                        }
505                        // reset sibling, and it still can't be null
506                        __w = __tree_is_left_child(__x) ?
507                                    __x->__parent_unsafe()->__right_ :
508                                    __x->__parent_->__left_;
509                        // continue;
510                    }
511                    else  // __w has a red child
512                    {
513                        if (__w->__left_ == nullptr || __w->__left_->__is_black_)
514                        {
515                            // __w right child is non-null and red
516                            __w->__right_->__is_black_ = true;
517                            __w->__is_black_ = false;
518                            __tree_left_rotate(__w);
519                            // __w is known not to be root, so root hasn't changed
520                            // reset sibling, and it still can't be null
521                            __w = __w->__parent_unsafe();
522                        }
523                        // __w has a left red child, right child may be null
524                        __w->__is_black_ = __w->__parent_unsafe()->__is_black_;
525                        __w->__parent_unsafe()->__is_black_ = true;
526                        __w->__left_->__is_black_ = true;
527                        __tree_right_rotate(__w->__parent_unsafe());
528                        break;
529                    }
530                }
531            }
532        }
533    }
534}
535
536// node traits
537
538
539#ifndef _LIBCPP_CXX03_LANG
540template <class _Tp>
541struct __is_tree_value_type_imp : false_type {};
542
543template <class _Key, class _Value>
544struct __is_tree_value_type_imp<__value_type<_Key, _Value>> : true_type {};
545
546template <class ..._Args>
547struct __is_tree_value_type : false_type {};
548
549template <class _One>
550struct __is_tree_value_type<_One> : __is_tree_value_type_imp<typename __uncvref<_One>::type> {};
551#endif
552
553template <class _Tp>
554struct __tree_key_value_types {
555  typedef _Tp key_type;
556  typedef _Tp __node_value_type;
557  typedef _Tp __container_value_type;
558  static const bool __is_map = false;
559
560  _LIBCPP_INLINE_VISIBILITY
561  static key_type const& __get_key(_Tp const& __v) {
562    return __v;
563  }
564  _LIBCPP_INLINE_VISIBILITY
565  static __container_value_type const& __get_value(__node_value_type const& __v) {
566    return __v;
567  }
568  _LIBCPP_INLINE_VISIBILITY
569  static __container_value_type* __get_ptr(__node_value_type& __n) {
570    return _VSTD::addressof(__n);
571  }
572
573#ifndef _LIBCPP_CXX03_LANG
574  _LIBCPP_INLINE_VISIBILITY
575  static  __container_value_type&& __move(__node_value_type& __v) {
576    return _VSTD::move(__v);
577  }
578#endif
579};
580
581template <class _Key, class _Tp>
582struct __tree_key_value_types<__value_type<_Key, _Tp> > {
583  typedef _Key                                         key_type;
584  typedef _Tp                                          mapped_type;
585  typedef __value_type<_Key, _Tp>                      __node_value_type;
586  typedef pair<const _Key, _Tp>                        __container_value_type;
587  typedef pair<_Key, _Tp>                              __nc_value_type;
588  typedef __container_value_type                       __map_value_type;
589  static const bool __is_map = true;
590
591  _LIBCPP_INLINE_VISIBILITY
592  static key_type const&
593  __get_key(__node_value_type const& __t) {
594    return __t.__cc.first;
595  }
596
597  template <class _Up>
598  _LIBCPP_INLINE_VISIBILITY
599  static typename enable_if<__is_same_uncvref<_Up, __container_value_type>::value,
600      key_type const&>::type
601  __get_key(_Up& __t) {
602    return __t.first;
603  }
604
605  _LIBCPP_INLINE_VISIBILITY
606  static __container_value_type const&
607  __get_value(__node_value_type const& __t) {
608    return __t.__cc;
609  }
610
611  template <class _Up>
612  _LIBCPP_INLINE_VISIBILITY
613  static typename enable_if<__is_same_uncvref<_Up, __container_value_type>::value,
614      __container_value_type const&>::type
615  __get_value(_Up& __t) {
616    return __t;
617  }
618
619  _LIBCPP_INLINE_VISIBILITY
620  static __container_value_type* __get_ptr(__node_value_type& __n) {
621    return _VSTD::addressof(__n.__cc);
622  }
623
624#ifndef _LIBCPP_CXX03_LANG
625  _LIBCPP_INLINE_VISIBILITY
626  static  __nc_value_type&& __move(__node_value_type& __v) {
627    return _VSTD::move(__v.__nc);
628  }
629#endif
630};
631
632template <class _VoidPtr>
633struct __tree_node_base_types {
634  typedef _VoidPtr                                               __void_pointer;
635
636  typedef __tree_node_base<__void_pointer>                      __node_base_type;
637  typedef typename __rebind_pointer<_VoidPtr, __node_base_type>::type
638                                                             __node_base_pointer;
639
640  typedef __tree_end_node<__node_base_pointer>                  __end_node_type;
641  typedef typename __rebind_pointer<_VoidPtr, __end_node_type>::type
642                                                             __end_node_pointer;
643#if defined(_LIBCPP_ABI_TREE_REMOVE_NODE_POINTER_UB)
644  typedef __end_node_pointer __parent_pointer;
645#else
646  typedef typename conditional<
647      is_pointer<__end_node_pointer>::value,
648        __end_node_pointer,
649        __node_base_pointer>::type __parent_pointer;
650#endif
651
652private:
653  static_assert((is_same<typename pointer_traits<_VoidPtr>::element_type, void>::value),
654                  "_VoidPtr does not point to unqualified void type");
655};
656
657template <class _Tp, class _AllocPtr, class _KVTypes = __tree_key_value_types<_Tp>,
658         bool = _KVTypes::__is_map>
659struct __tree_map_pointer_types {};
660
661template <class _Tp, class _AllocPtr, class _KVTypes>
662struct __tree_map_pointer_types<_Tp, _AllocPtr, _KVTypes, true> {
663  typedef typename _KVTypes::__map_value_type   _Mv;
664  typedef typename __rebind_pointer<_AllocPtr, _Mv>::type
665                                                       __map_value_type_pointer;
666  typedef typename __rebind_pointer<_AllocPtr, const _Mv>::type
667                                                 __const_map_value_type_pointer;
668};
669
670template <class _NodePtr, class _NodeT = typename pointer_traits<_NodePtr>::element_type>
671struct __tree_node_types;
672
673template <class _NodePtr, class _Tp, class _VoidPtr>
674struct __tree_node_types<_NodePtr, __tree_node<_Tp, _VoidPtr> >
675    : public __tree_node_base_types<_VoidPtr>,
676             __tree_key_value_types<_Tp>,
677             __tree_map_pointer_types<_Tp, _VoidPtr>
678{
679  typedef __tree_node_base_types<_VoidPtr> __base;
680  typedef __tree_key_value_types<_Tp>      __key_base;
681  typedef __tree_map_pointer_types<_Tp, _VoidPtr> __map_pointer_base;
682public:
683
684  typedef typename pointer_traits<_NodePtr>::element_type       __node_type;
685  typedef _NodePtr                                              __node_pointer;
686
687  typedef _Tp                                                 __node_value_type;
688  typedef typename __rebind_pointer<_VoidPtr, __node_value_type>::type
689                                                      __node_value_type_pointer;
690  typedef typename __rebind_pointer<_VoidPtr, const __node_value_type>::type
691                                                __const_node_value_type_pointer;
692#if defined(_LIBCPP_ABI_TREE_REMOVE_NODE_POINTER_UB)
693  typedef typename __base::__end_node_pointer __iter_pointer;
694#else
695  typedef typename conditional<
696      is_pointer<__node_pointer>::value,
697        typename __base::__end_node_pointer,
698        __node_pointer>::type __iter_pointer;
699#endif
700private:
701    static_assert(!is_const<__node_type>::value,
702                "_NodePtr should never be a pointer to const");
703    static_assert((is_same<typename __rebind_pointer<_VoidPtr, __node_type>::type,
704                          _NodePtr>::value), "_VoidPtr does not rebind to _NodePtr.");
705};
706
707template <class _ValueTp, class _VoidPtr>
708struct __make_tree_node_types {
709  typedef typename __rebind_pointer<_VoidPtr, __tree_node<_ValueTp, _VoidPtr> >::type
710                                                                        _NodePtr;
711  typedef __tree_node_types<_NodePtr> type;
712};
713
714// node
715
716template <class _Pointer>
717class __tree_end_node
718{
719public:
720    typedef _Pointer pointer;
721    pointer __left_;
722
723    _LIBCPP_INLINE_VISIBILITY
724    __tree_end_node() _NOEXCEPT : __left_() {}
725};
726
727template <class _VoidPtr>
728class __tree_node_base
729    : public __tree_node_base_types<_VoidPtr>::__end_node_type
730{
731    typedef __tree_node_base_types<_VoidPtr> _NodeBaseTypes;
732
733public:
734    typedef typename _NodeBaseTypes::__node_base_pointer pointer;
735    typedef typename _NodeBaseTypes::__parent_pointer __parent_pointer;
736
737    pointer          __right_;
738    __parent_pointer __parent_;
739    bool __is_black_;
740
741    _LIBCPP_INLINE_VISIBILITY
742    pointer __parent_unsafe() const { return static_cast<pointer>(__parent_);}
743
744    _LIBCPP_INLINE_VISIBILITY
745    void __set_parent(pointer __p) {
746        __parent_ = static_cast<__parent_pointer>(__p);
747    }
748
749private:
750  ~__tree_node_base() _LIBCPP_EQUAL_DELETE;
751  __tree_node_base(__tree_node_base const&) _LIBCPP_EQUAL_DELETE;
752  __tree_node_base& operator=(__tree_node_base const&) _LIBCPP_EQUAL_DELETE;
753};
754
755template <class _Tp, class _VoidPtr>
756class __tree_node
757    : public __tree_node_base<_VoidPtr>
758{
759public:
760    typedef _Tp __node_value_type;
761
762    __node_value_type __value_;
763
764private:
765  ~__tree_node() _LIBCPP_EQUAL_DELETE;
766  __tree_node(__tree_node const&) _LIBCPP_EQUAL_DELETE;
767  __tree_node& operator=(__tree_node const&) _LIBCPP_EQUAL_DELETE;
768};
769
770
771template <class _Allocator>
772class __tree_node_destructor
773{
774    typedef _Allocator                                      allocator_type;
775    typedef allocator_traits<allocator_type>                __alloc_traits;
776
777public:
778    typedef typename __alloc_traits::pointer                pointer;
779private:
780    typedef __tree_node_types<pointer> _NodeTypes;
781    allocator_type& __na_;
782
783    __tree_node_destructor& operator=(const __tree_node_destructor&);
784
785public:
786    bool __value_constructed;
787
788    _LIBCPP_INLINE_VISIBILITY
789    explicit __tree_node_destructor(allocator_type& __na, bool __val = false) _NOEXCEPT
790        : __na_(__na),
791          __value_constructed(__val)
792        {}
793
794    _LIBCPP_INLINE_VISIBILITY
795    void operator()(pointer __p) _NOEXCEPT
796    {
797        if (__value_constructed)
798            __alloc_traits::destroy(__na_, _NodeTypes::__get_ptr(__p->__value_));
799        if (__p)
800            __alloc_traits::deallocate(__na_, __p, 1);
801    }
802
803    template <class> friend class __map_node_destructor;
804};
805
806
807template <class _Tp, class _NodePtr, class _DiffType>
808class _LIBCPP_TEMPLATE_VIS __tree_iterator
809{
810    typedef __tree_node_types<_NodePtr>                     _NodeTypes;
811    typedef _NodePtr                                        __node_pointer;
812    typedef typename _NodeTypes::__node_base_pointer        __node_base_pointer;
813    typedef typename _NodeTypes::__end_node_pointer         __end_node_pointer;
814    typedef typename _NodeTypes::__iter_pointer             __iter_pointer;
815    typedef pointer_traits<__node_pointer> __pointer_traits;
816
817    __iter_pointer __ptr_;
818
819public:
820    typedef bidirectional_iterator_tag                     iterator_category;
821    typedef _Tp                                            value_type;
822    typedef _DiffType                                      difference_type;
823    typedef value_type&                                    reference;
824    typedef typename _NodeTypes::__node_value_type_pointer pointer;
825
826    _LIBCPP_INLINE_VISIBILITY __tree_iterator() _NOEXCEPT
827#if _LIBCPP_STD_VER > 11
828    : __ptr_(nullptr)
829#endif
830    {}
831
832    _LIBCPP_INLINE_VISIBILITY reference operator*() const
833        {return __get_np()->__value_;}
834    _LIBCPP_INLINE_VISIBILITY pointer operator->() const
835        {return pointer_traits<pointer>::pointer_to(__get_np()->__value_);}
836
837    _LIBCPP_INLINE_VISIBILITY
838    __tree_iterator& operator++() {
839      __ptr_ = static_cast<__iter_pointer>(
840          __tree_next_iter<__end_node_pointer>(static_cast<__node_base_pointer>(__ptr_)));
841      return *this;
842    }
843    _LIBCPP_INLINE_VISIBILITY
844    __tree_iterator operator++(int)
845        {__tree_iterator __t(*this); ++(*this); return __t;}
846
847    _LIBCPP_INLINE_VISIBILITY
848    __tree_iterator& operator--() {
849      __ptr_ = static_cast<__iter_pointer>(__tree_prev_iter<__node_base_pointer>(
850          static_cast<__end_node_pointer>(__ptr_)));
851      return *this;
852    }
853    _LIBCPP_INLINE_VISIBILITY
854    __tree_iterator operator--(int)
855        {__tree_iterator __t(*this); --(*this); return __t;}
856
857    friend _LIBCPP_INLINE_VISIBILITY 
858        bool operator==(const __tree_iterator& __x, const __tree_iterator& __y)
859        {return __x.__ptr_ == __y.__ptr_;}
860    friend _LIBCPP_INLINE_VISIBILITY
861        bool operator!=(const __tree_iterator& __x, const __tree_iterator& __y)
862        {return !(__x == __y);}
863
864private:
865    _LIBCPP_INLINE_VISIBILITY
866    explicit __tree_iterator(__node_pointer __p) _NOEXCEPT : __ptr_(__p) {}
867    _LIBCPP_INLINE_VISIBILITY
868    explicit __tree_iterator(__end_node_pointer __p) _NOEXCEPT : __ptr_(__p) {}
869    _LIBCPP_INLINE_VISIBILITY
870    __node_pointer __get_np() const { return static_cast<__node_pointer>(__ptr_); }
871    template <class, class, class> friend class __tree;
872    template <class, class, class> friend class _LIBCPP_TEMPLATE_VIS __tree_const_iterator;
873    template <class> friend class _LIBCPP_TEMPLATE_VIS __map_iterator;
874    template <class, class, class, class> friend class _LIBCPP_TEMPLATE_VIS map;
875    template <class, class, class, class> friend class _LIBCPP_TEMPLATE_VIS multimap;
876    template <class, class, class> friend class _LIBCPP_TEMPLATE_VIS set;
877    template <class, class, class> friend class _LIBCPP_TEMPLATE_VIS multiset;
878};
879
880template <class _Tp, class _NodePtr, class _DiffType>
881class _LIBCPP_TEMPLATE_VIS __tree_const_iterator
882{
883    typedef __tree_node_types<_NodePtr>                     _NodeTypes;
884    typedef typename _NodeTypes::__node_pointer             __node_pointer;
885    typedef typename _NodeTypes::__node_base_pointer        __node_base_pointer;
886    typedef typename _NodeTypes::__end_node_pointer         __end_node_pointer;
887    typedef typename _NodeTypes::__iter_pointer             __iter_pointer;
888    typedef pointer_traits<__node_pointer> __pointer_traits;
889
890    __iter_pointer __ptr_;
891
892public:
893    typedef bidirectional_iterator_tag                           iterator_category;
894    typedef _Tp                                                  value_type;
895    typedef _DiffType                                            difference_type;
896    typedef const value_type&                                    reference;
897    typedef typename _NodeTypes::__const_node_value_type_pointer pointer;
898
899    _LIBCPP_INLINE_VISIBILITY __tree_const_iterator() _NOEXCEPT
900#if _LIBCPP_STD_VER > 11
901    : __ptr_(nullptr)
902#endif
903    {}
904
905private:
906    typedef __tree_iterator<value_type, __node_pointer, difference_type>
907                                                           __non_const_iterator;
908public:
909    _LIBCPP_INLINE_VISIBILITY
910    __tree_const_iterator(__non_const_iterator __p) _NOEXCEPT
911        : __ptr_(__p.__ptr_) {}
912
913    _LIBCPP_INLINE_VISIBILITY reference operator*() const
914        {return __get_np()->__value_;}
915    _LIBCPP_INLINE_VISIBILITY pointer operator->() const
916        {return pointer_traits<pointer>::pointer_to(__get_np()->__value_);}
917
918    _LIBCPP_INLINE_VISIBILITY
919    __tree_const_iterator& operator++() {
920      __ptr_ = static_cast<__iter_pointer>(
921          __tree_next_iter<__end_node_pointer>(static_cast<__node_base_pointer>(__ptr_)));
922      return *this;
923    }
924
925    _LIBCPP_INLINE_VISIBILITY
926    __tree_const_iterator operator++(int)
927        {__tree_const_iterator __t(*this); ++(*this); return __t;}
928
929    _LIBCPP_INLINE_VISIBILITY
930    __tree_const_iterator& operator--() {
931      __ptr_ = static_cast<__iter_pointer>(__tree_prev_iter<__node_base_pointer>(
932          static_cast<__end_node_pointer>(__ptr_)));
933      return *this;
934    }
935
936    _LIBCPP_INLINE_VISIBILITY
937    __tree_const_iterator operator--(int)
938        {__tree_const_iterator __t(*this); --(*this); return __t;}
939
940    friend _LIBCPP_INLINE_VISIBILITY
941        bool operator==(const __tree_const_iterator& __x, const __tree_const_iterator& __y)
942        {return __x.__ptr_ == __y.__ptr_;}
943    friend _LIBCPP_INLINE_VISIBILITY
944        bool operator!=(const __tree_const_iterator& __x, const __tree_const_iterator& __y)
945        {return !(__x == __y);}
946
947private:
948    _LIBCPP_INLINE_VISIBILITY
949    explicit __tree_const_iterator(__node_pointer __p) _NOEXCEPT
950        : __ptr_(__p) {}
951    _LIBCPP_INLINE_VISIBILITY
952    explicit __tree_const_iterator(__end_node_pointer __p) _NOEXCEPT
953        : __ptr_(__p) {}
954    _LIBCPP_INLINE_VISIBILITY
955    __node_pointer __get_np() const { return static_cast<__node_pointer>(__ptr_); }
956
957    template <class, class, class> friend class __tree;
958    template <class, class, class, class> friend class _LIBCPP_TEMPLATE_VIS map;
959    template <class, class, class, class> friend class _LIBCPP_TEMPLATE_VIS multimap;
960    template <class, class, class> friend class _LIBCPP_TEMPLATE_VIS set;
961    template <class, class, class> friend class _LIBCPP_TEMPLATE_VIS multiset;
962    template <class> friend class _LIBCPP_TEMPLATE_VIS __map_const_iterator;
963
964};
965
966#ifndef _LIBCPP_CXX03_LANG
967template <class _Tp, class _Compare, class _Allocator>
968struct __diagnose_tree_helper {
969  static constexpr bool __trigger_diagnostics()
970      _LIBCPP_DIAGNOSE_WARNING(!__invokable<_Compare const&, _Tp const&, _Tp const&>::value,
971            "the specified comparator type does not provide a const call operator")
972  { return true; }
973};
974
975template <class _Key, class _Value, class _KeyComp, class _Alloc>
976struct __diagnose_tree_helper<
977    __value_type<_Key, _Value>,
978    __map_value_compare<_Key, __value_type<_Key, _Value>, _KeyComp>,
979    _Alloc
980> : __diagnose_tree_helper<_Key, _KeyComp, _Alloc>
981{
982};
983#endif // !_LIBCPP_CXX03_LANG
984
985template <class _Tp, class _Compare, class _Allocator>
986class __tree
987{
988public:
989    typedef _Tp                                      value_type;
990    typedef _Compare                                 value_compare;
991    typedef _Allocator                               allocator_type;
992
993private:
994    typedef allocator_traits<allocator_type>         __alloc_traits;
995    typedef typename __make_tree_node_types<value_type,
996        typename __alloc_traits::void_pointer>::type
997                                                    _NodeTypes;
998    typedef typename _NodeTypes::key_type           key_type;
999public:
1000    typedef typename _NodeTypes::__node_value_type      __node_value_type;
1001    typedef typename _NodeTypes::__container_value_type __container_value_type;
1002
1003    typedef typename __alloc_traits::pointer         pointer;
1004    typedef typename __alloc_traits::const_pointer   const_pointer;
1005    typedef typename __alloc_traits::size_type       size_type;
1006    typedef typename __alloc_traits::difference_type difference_type;
1007
1008public:
1009    typedef typename _NodeTypes::__void_pointer        __void_pointer;
1010
1011    typedef typename _NodeTypes::__node_type           __node;
1012    typedef typename _NodeTypes::__node_pointer        __node_pointer;
1013
1014    typedef typename _NodeTypes::__node_base_type      __node_base;
1015    typedef typename _NodeTypes::__node_base_pointer   __node_base_pointer;
1016
1017    typedef typename _NodeTypes::__end_node_type       __end_node_t;
1018    typedef typename _NodeTypes::__end_node_pointer    __end_node_ptr;
1019
1020    typedef typename _NodeTypes::__parent_pointer      __parent_pointer;
1021    typedef typename _NodeTypes::__iter_pointer        __iter_pointer;
1022
1023    typedef typename __rebind_alloc_helper<__alloc_traits, __node>::type __node_allocator;
1024    typedef allocator_traits<__node_allocator>         __node_traits;
1025
1026private:
1027    // check for sane allocator pointer rebinding semantics. Rebinding the
1028    // allocator for a new pointer type should be exactly the same as rebinding
1029    // the pointer using 'pointer_traits'.
1030    static_assert((is_same<__node_pointer, typename __node_traits::pointer>::value),
1031                  "Allocator does not rebind pointers in a sane manner.");
1032    typedef typename __rebind_alloc_helper<__node_traits, __node_base>::type
1033        __node_base_allocator;
1034    typedef allocator_traits<__node_base_allocator> __node_base_traits;
1035    static_assert((is_same<__node_base_pointer, typename __node_base_traits::pointer>::value),
1036                 "Allocator does not rebind pointers in a sane manner.");
1037
1038private:
1039    __iter_pointer                                     __begin_node_;
1040    __compressed_pair<__end_node_t, __node_allocator>  __pair1_;
1041    __compressed_pair<size_type, value_compare>        __pair3_;
1042
1043public:
1044    _LIBCPP_INLINE_VISIBILITY
1045    __iter_pointer __end_node() _NOEXCEPT
1046    {
1047        return static_cast<__iter_pointer>(
1048                pointer_traits<__end_node_ptr>::pointer_to(__pair1_.first())
1049        );
1050    }
1051    _LIBCPP_INLINE_VISIBILITY
1052    __iter_pointer __end_node() const _NOEXCEPT
1053    {
1054        return static_cast<__iter_pointer>(
1055            pointer_traits<__end_node_ptr>::pointer_to(
1056                const_cast<__end_node_t&>(__pair1_.first())
1057            )
1058        );
1059    }
1060    _LIBCPP_INLINE_VISIBILITY
1061          __node_allocator& __node_alloc() _NOEXCEPT {return __pair1_.second();}
1062private:
1063    _LIBCPP_INLINE_VISIBILITY
1064    const __node_allocator& __node_alloc() const _NOEXCEPT
1065        {return __pair1_.second();}
1066    _LIBCPP_INLINE_VISIBILITY
1067          __iter_pointer& __begin_node() _NOEXCEPT {return __begin_node_;}
1068    _LIBCPP_INLINE_VISIBILITY
1069    const __iter_pointer& __begin_node() const _NOEXCEPT {return __begin_node_;}
1070public:
1071    _LIBCPP_INLINE_VISIBILITY
1072    allocator_type __alloc() const _NOEXCEPT
1073        {return allocator_type(__node_alloc());}
1074private:
1075    _LIBCPP_INLINE_VISIBILITY
1076          size_type& size() _NOEXCEPT {return __pair3_.first();}
1077public:
1078    _LIBCPP_INLINE_VISIBILITY
1079    const size_type& size() const _NOEXCEPT {return __pair3_.first();}
1080    _LIBCPP_INLINE_VISIBILITY
1081          value_compare& value_comp() _NOEXCEPT {return __pair3_.second();}
1082    _LIBCPP_INLINE_VISIBILITY
1083    const value_compare& value_comp() const _NOEXCEPT
1084        {return __pair3_.second();}
1085public:
1086
1087    _LIBCPP_INLINE_VISIBILITY
1088    __node_pointer __root() const _NOEXCEPT
1089        {return static_cast<__node_pointer>(__end_node()->__left_);}
1090
1091    __node_base_pointer* __root_ptr() const _NOEXCEPT {
1092        return _VSTD::addressof(__end_node()->__left_);
1093    }
1094
1095    typedef __tree_iterator<value_type, __node_pointer, difference_type>             iterator;
1096    typedef __tree_const_iterator<value_type, __node_pointer, difference_type> const_iterator;
1097
1098    explicit __tree(const value_compare& __comp)
1099        _NOEXCEPT_(
1100            is_nothrow_default_constructible<__node_allocator>::value &&
1101            is_nothrow_copy_constructible<value_compare>::value);
1102    explicit __tree(const allocator_type& __a);
1103    __tree(const value_compare& __comp, const allocator_type& __a);
1104    __tree(const __tree& __t);
1105    __tree& operator=(const __tree& __t);
1106    template <class _InputIterator>
1107        void __assign_unique(_InputIterator __first, _InputIterator __last);
1108    template <class _InputIterator>
1109        void __assign_multi(_InputIterator __first, _InputIterator __last);
1110#ifndef _LIBCPP_CXX03_LANG
1111    __tree(__tree&& __t)
1112        _NOEXCEPT_(
1113            is_nothrow_move_constructible<__node_allocator>::value &&
1114            is_nothrow_move_constructible<value_compare>::value);
1115    __tree(__tree&& __t, const allocator_type& __a);
1116    __tree& operator=(__tree&& __t)
1117        _NOEXCEPT_(
1118            __node_traits::propagate_on_container_move_assignment::value &&
1119            is_nothrow_move_assignable<value_compare>::value &&
1120            is_nothrow_move_assignable<__node_allocator>::value);
1121#endif // _LIBCPP_CXX03_LANG
1122
1123    ~__tree();
1124
1125    _LIBCPP_INLINE_VISIBILITY
1126          iterator begin()  _NOEXCEPT {return       iterator(__begin_node());}
1127    _LIBCPP_INLINE_VISIBILITY
1128    const_iterator begin() const _NOEXCEPT {return const_iterator(__begin_node());}
1129    _LIBCPP_INLINE_VISIBILITY
1130          iterator end() _NOEXCEPT {return       iterator(__end_node());}
1131    _LIBCPP_INLINE_VISIBILITY
1132    const_iterator end() const _NOEXCEPT {return const_iterator(__end_node());}
1133
1134    _LIBCPP_INLINE_VISIBILITY
1135    size_type max_size() const _NOEXCEPT
1136        {return std::min<size_type>(
1137                __node_traits::max_size(__node_alloc()),
1138                numeric_limits<difference_type >::max());}
1139
1140    void clear() _NOEXCEPT;
1141
1142    void swap(__tree& __t)
1143#if _LIBCPP_STD_VER <= 11
1144        _NOEXCEPT_(
1145            __is_nothrow_swappable<value_compare>::value
1146            && (!__node_traits::propagate_on_container_swap::value ||
1147                 __is_nothrow_swappable<__node_allocator>::value)
1148            );
1149#else
1150        _NOEXCEPT_(__is_nothrow_swappable<value_compare>::value);
1151#endif
1152
1153#ifndef _LIBCPP_CXX03_LANG
1154    template <class _Key, class ..._Args>
1155    pair<iterator, bool>
1156    __emplace_unique_key_args(_Key const&, _Args&&... __args);
1157    template <class _Key, class ..._Args>
1158    iterator
1159    __emplace_hint_unique_key_args(const_iterator, _Key const&, _Args&&...);
1160
1161    template <class... _Args>
1162    pair<iterator, bool> __emplace_unique_impl(_Args&&... __args);
1163
1164    template <class... _Args>
1165    iterator __emplace_hint_unique_impl(const_iterator __p, _Args&&... __args);
1166
1167    template <class... _Args>
1168    iterator __emplace_multi(_Args&&... __args);
1169
1170    template <class... _Args>
1171    iterator __emplace_hint_multi(const_iterator __p, _Args&&... __args);
1172
1173    template <class _Pp>
1174    _LIBCPP_INLINE_VISIBILITY
1175    pair<iterator, bool> __emplace_unique(_Pp&& __x) {
1176        return __emplace_unique_extract_key(_VSTD::forward<_Pp>(__x),
1177                                            __can_extract_key<_Pp, key_type>());
1178    }
1179
1180    template <class _First, class _Second>
1181    _LIBCPP_INLINE_VISIBILITY
1182    typename enable_if<
1183        __can_extract_map_key<_First, key_type, __container_value_type>::value,
1184        pair<iterator, bool>
1185    >::type __emplace_unique(_First&& __f, _Second&& __s) {
1186        return __emplace_unique_key_args(__f, _VSTD::forward<_First>(__f),
1187                                              _VSTD::forward<_Second>(__s));
1188    }
1189
1190    template <class... _Args>
1191    _LIBCPP_INLINE_VISIBILITY
1192    pair<iterator, bool> __emplace_unique(_Args&&... __args) {
1193        return __emplace_unique_impl(_VSTD::forward<_Args>(__args)...);
1194    }
1195
1196    template <class _Pp>
1197    _LIBCPP_INLINE_VISIBILITY
1198    pair<iterator, bool>
1199    __emplace_unique_extract_key(_Pp&& __x, __extract_key_fail_tag) {
1200      return __emplace_unique_impl(_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_self_tag) {
1207      return __emplace_unique_key_args(__x, _VSTD::forward<_Pp>(__x));
1208    }
1209
1210    template <class _Pp>
1211    _LIBCPP_INLINE_VISIBILITY
1212    pair<iterator, bool>
1213    __emplace_unique_extract_key(_Pp&& __x, __extract_key_first_tag) {
1214      return __emplace_unique_key_args(__x.first, _VSTD::forward<_Pp>(__x));
1215    }
1216
1217    template <class _Pp>
1218    _LIBCPP_INLINE_VISIBILITY
1219    iterator __emplace_hint_unique(const_iterator __p, _Pp&& __x) {
1220        return __emplace_hint_unique_extract_key(__p, _VSTD::forward<_Pp>(__x),
1221                                            __can_extract_key<_Pp, key_type>());
1222    }
1223
1224    template <class _First, class _Second>
1225    _LIBCPP_INLINE_VISIBILITY
1226    typename enable_if<
1227        __can_extract_map_key<_First, key_type, __container_value_type>::value,
1228        iterator
1229    >::type __emplace_hint_unique(const_iterator __p, _First&& __f, _Second&& __s) {
1230        return __emplace_hint_unique_key_args(__p, __f,
1231                                              _VSTD::forward<_First>(__f),
1232                                              _VSTD::forward<_Second>(__s));
1233    }
1234
1235    template <class... _Args>
1236    _LIBCPP_INLINE_VISIBILITY
1237    iterator __emplace_hint_unique(const_iterator __p, _Args&&... __args) {
1238        return __emplace_hint_unique_impl(__p, _VSTD::forward<_Args>(__args)...);
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_fail_tag) {
1245      return __emplace_hint_unique_impl(__p, _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_self_tag) {
1252      return __emplace_hint_unique_key_args(__p, __x, _VSTD::forward<_Pp>(__x));
1253    }
1254
1255    template <class _Pp>
1256    _LIBCPP_INLINE_VISIBILITY
1257    iterator
1258    __emplace_hint_unique_extract_key(const_iterator __p, _Pp&& __x, __extract_key_first_tag) {
1259      return __emplace_hint_unique_key_args(__p, __x.first, _VSTD::forward<_Pp>(__x));
1260    }
1261
1262#else
1263    template <class _Key, class _Args>
1264    _LIBCPP_INLINE_VISIBILITY
1265    pair<iterator, bool> __emplace_unique_key_args(_Key const&, _Args& __args);
1266    template <class _Key, class _Args>
1267    _LIBCPP_INLINE_VISIBILITY
1268    iterator __emplace_hint_unique_key_args(const_iterator, _Key const&, _Args&);
1269#endif
1270
1271    _LIBCPP_INLINE_VISIBILITY
1272    pair<iterator, bool> __insert_unique(const __container_value_type& __v) {
1273        return __emplace_unique_key_args(_NodeTypes::__get_key(__v), __v);
1274    }
1275
1276    _LIBCPP_INLINE_VISIBILITY
1277    iterator __insert_unique(const_iterator __p, const __container_value_type& __v) {
1278        return __emplace_hint_unique_key_args(__p, _NodeTypes::__get_key(__v), __v);
1279    }
1280
1281#ifdef _LIBCPP_CXX03_LANG
1282    _LIBCPP_INLINE_VISIBILITY
1283    iterator __insert_multi(const __container_value_type& __v);
1284    _LIBCPP_INLINE_VISIBILITY
1285    iterator __insert_multi(const_iterator __p, const __container_value_type& __v);
1286#else
1287    _LIBCPP_INLINE_VISIBILITY
1288    pair<iterator, bool> __insert_unique(__container_value_type&& __v) {
1289        return __emplace_unique_key_args(_NodeTypes::__get_key(__v), _VSTD::move(__v));
1290    }
1291
1292    _LIBCPP_INLINE_VISIBILITY
1293    iterator __insert_unique(const_iterator __p, __container_value_type&& __v) {
1294        return __emplace_hint_unique_key_args(__p, _NodeTypes::__get_key(__v), _VSTD::move(__v));
1295    }
1296
1297    template <class _Vp, class = typename enable_if<
1298            !is_same<typename __unconstref<_Vp>::type,
1299                     __container_value_type
1300            >::value
1301        >::type>
1302    _LIBCPP_INLINE_VISIBILITY
1303    pair<iterator, bool> __insert_unique(_Vp&& __v) {
1304        return __emplace_unique(_VSTD::forward<_Vp>(__v));
1305    }
1306
1307    template <class _Vp, class = typename enable_if<
1308            !is_same<typename __unconstref<_Vp>::type,
1309                     __container_value_type
1310            >::value
1311        >::type>
1312    _LIBCPP_INLINE_VISIBILITY
1313    iterator __insert_unique(const_iterator __p, _Vp&& __v) {
1314        return __emplace_hint_unique(__p, _VSTD::forward<_Vp>(__v));
1315    }
1316
1317    _LIBCPP_INLINE_VISIBILITY
1318    iterator __insert_multi(__container_value_type&& __v) {
1319        return __emplace_multi(_VSTD::move(__v));
1320    }
1321
1322    _LIBCPP_INLINE_VISIBILITY
1323    iterator __insert_multi(const_iterator __p, __container_value_type&& __v) {
1324        return __emplace_hint_multi(__p, _VSTD::move(__v));
1325    }
1326
1327    template <class _Vp>
1328    _LIBCPP_INLINE_VISIBILITY
1329    iterator __insert_multi(_Vp&& __v) {
1330        return __emplace_multi(_VSTD::forward<_Vp>(__v));
1331    }
1332
1333    template <class _Vp>
1334    _LIBCPP_INLINE_VISIBILITY
1335    iterator __insert_multi(const_iterator __p, _Vp&& __v) {
1336        return __emplace_hint_multi(__p, _VSTD::forward<_Vp>(__v));
1337    }
1338
1339#endif // !_LIBCPP_CXX03_LANG
1340
1341    pair<iterator, bool> __node_insert_unique(__node_pointer __nd);
1342    iterator             __node_insert_unique(const_iterator __p,
1343                                              __node_pointer __nd);
1344
1345    iterator __node_insert_multi(__node_pointer __nd);
1346    iterator __node_insert_multi(const_iterator __p, __node_pointer __nd);
1347
1348    iterator erase(const_iterator __p);
1349    iterator erase(const_iterator __f, const_iterator __l);
1350    template <class _Key>
1351        size_type __erase_unique(const _Key& __k);
1352    template <class _Key>
1353        size_type __erase_multi(const _Key& __k);
1354
1355    void __insert_node_at(__parent_pointer     __parent,
1356                          __node_base_pointer& __child,
1357                          __node_base_pointer __new_node);
1358
1359    template <class _Key>
1360        iterator find(const _Key& __v);
1361    template <class _Key>
1362        const_iterator find(const _Key& __v) const;
1363
1364    template <class _Key>
1365        size_type __count_unique(const _Key& __k) const;
1366    template <class _Key>
1367        size_type __count_multi(const _Key& __k) const;
1368
1369    template <class _Key>
1370        _LIBCPP_INLINE_VISIBILITY
1371        iterator lower_bound(const _Key& __v)
1372            {return __lower_bound(__v, __root(), __end_node());}
1373    template <class _Key>
1374        iterator __lower_bound(const _Key& __v,
1375                               __node_pointer __root,
1376                               __iter_pointer __result);
1377    template <class _Key>
1378        _LIBCPP_INLINE_VISIBILITY
1379        const_iterator lower_bound(const _Key& __v) const
1380            {return __lower_bound(__v, __root(), __end_node());}
1381    template <class _Key>
1382        const_iterator __lower_bound(const _Key& __v,
1383                                     __node_pointer __root,
1384                                     __iter_pointer __result) const;
1385    template <class _Key>
1386        _LIBCPP_INLINE_VISIBILITY
1387        iterator upper_bound(const _Key& __v)
1388            {return __upper_bound(__v, __root(), __end_node());}
1389    template <class _Key>
1390        iterator __upper_bound(const _Key& __v,
1391                               __node_pointer __root,
1392                               __iter_pointer __result);
1393    template <class _Key>
1394        _LIBCPP_INLINE_VISIBILITY
1395        const_iterator upper_bound(const _Key& __v) const
1396            {return __upper_bound(__v, __root(), __end_node());}
1397    template <class _Key>
1398        const_iterator __upper_bound(const _Key& __v,
1399                                     __node_pointer __root,
1400                                     __iter_pointer __result) const;
1401    template <class _Key>
1402        pair<iterator, iterator>
1403        __equal_range_unique(const _Key& __k);
1404    template <class _Key>
1405        pair<const_iterator, const_iterator>
1406        __equal_range_unique(const _Key& __k) const;
1407
1408    template <class _Key>
1409        pair<iterator, iterator>
1410        __equal_range_multi(const _Key& __k);
1411    template <class _Key>
1412        pair<const_iterator, const_iterator>
1413        __equal_range_multi(const _Key& __k) const;
1414
1415    typedef __tree_node_destructor<__node_allocator> _Dp;
1416    typedef unique_ptr<__node, _Dp> __node_holder;
1417
1418    __node_holder remove(const_iterator __p) _NOEXCEPT;
1419private:
1420    __node_base_pointer&
1421        __find_leaf_low(__parent_pointer& __parent, const key_type& __v);
1422    __node_base_pointer&
1423        __find_leaf_high(__parent_pointer& __parent, const key_type& __v);
1424    __node_base_pointer&
1425        __find_leaf(const_iterator __hint,
1426                    __parent_pointer& __parent, const key_type& __v);
1427    // FIXME: Make this function const qualified. Unfortunetly doing so
1428    // breaks existing code which uses non-const callable comparators.
1429    template <class _Key>
1430    __node_base_pointer&
1431        __find_equal(__parent_pointer& __parent, const _Key& __v);
1432    template <class _Key>
1433    _LIBCPP_INLINE_VISIBILITY __node_base_pointer&
1434    __find_equal(__parent_pointer& __parent, const _Key& __v) const {
1435      return const_cast<__tree*>(this)->__find_equal(__parent, __v);
1436    }
1437    template <class _Key>
1438    __node_base_pointer&
1439        __find_equal(const_iterator __hint, __parent_pointer& __parent,
1440                     __node_base_pointer& __dummy,
1441                     const _Key& __v);
1442
1443#ifndef _LIBCPP_CXX03_LANG
1444    template <class ..._Args>
1445    __node_holder __construct_node(_Args&& ...__args);
1446#else
1447    __node_holder __construct_node(const __container_value_type& __v);
1448#endif
1449
1450    void destroy(__node_pointer __nd) _NOEXCEPT;
1451
1452    _LIBCPP_INLINE_VISIBILITY
1453    void __copy_assign_alloc(const __tree& __t)
1454        {__copy_assign_alloc(__t, integral_constant<bool,
1455             __node_traits::propagate_on_container_copy_assignment::value>());}
1456
1457    _LIBCPP_INLINE_VISIBILITY
1458    void __copy_assign_alloc(const __tree& __t, true_type)
1459        {
1460        if (__node_alloc() != __t.__node_alloc())
1461        	clear();
1462        __node_alloc() = __t.__node_alloc();
1463        }
1464    _LIBCPP_INLINE_VISIBILITY
1465    void __copy_assign_alloc(const __tree&, false_type) {}
1466
1467    void __move_assign(__tree& __t, false_type);
1468    void __move_assign(__tree& __t, true_type)
1469        _NOEXCEPT_(is_nothrow_move_assignable<value_compare>::value &&
1470                   is_nothrow_move_assignable<__node_allocator>::value);
1471
1472    _LIBCPP_INLINE_VISIBILITY
1473    void __move_assign_alloc(__tree& __t)
1474        _NOEXCEPT_(
1475            !__node_traits::propagate_on_container_move_assignment::value ||
1476            is_nothrow_move_assignable<__node_allocator>::value)
1477        {__move_assign_alloc(__t, integral_constant<bool,
1478             __node_traits::propagate_on_container_move_assignment::value>());}
1479
1480    _LIBCPP_INLINE_VISIBILITY
1481    void __move_assign_alloc(__tree& __t, true_type)
1482        _NOEXCEPT_(is_nothrow_move_assignable<__node_allocator>::value)
1483        {__node_alloc() = _VSTD::move(__t.__node_alloc());}
1484    _LIBCPP_INLINE_VISIBILITY
1485    void __move_assign_alloc(__tree&, false_type) _NOEXCEPT {}
1486
1487    __node_pointer __detach();
1488    static __node_pointer __detach(__node_pointer);
1489
1490    template <class, class, class, class> friend class _LIBCPP_TEMPLATE_VIS map;
1491    template <class, class, class, class> friend class _LIBCPP_TEMPLATE_VIS multimap;
1492};
1493
1494template <class _Tp, class _Compare, class _Allocator>
1495__tree<_Tp, _Compare, _Allocator>::__tree(const value_compare& __comp)
1496        _NOEXCEPT_(
1497            is_nothrow_default_constructible<__node_allocator>::value &&
1498            is_nothrow_copy_constructible<value_compare>::value)
1499    : __pair3_(0, __comp)
1500{
1501    __begin_node() = __end_node();
1502}
1503
1504template <class _Tp, class _Compare, class _Allocator>
1505__tree<_Tp, _Compare, _Allocator>::__tree(const allocator_type& __a)
1506    : __begin_node_(__iter_pointer()),
1507      __pair1_(__second_tag(), __node_allocator(__a)),
1508      __pair3_(0)
1509{
1510    __begin_node() = __end_node();
1511}
1512
1513template <class _Tp, class _Compare, class _Allocator>
1514__tree<_Tp, _Compare, _Allocator>::__tree(const value_compare& __comp,
1515                                           const allocator_type& __a)
1516    : __begin_node_(__iter_pointer()),
1517      __pair1_(__second_tag(), __node_allocator(__a)),
1518      __pair3_(0, __comp)
1519{
1520    __begin_node() = __end_node();
1521}
1522
1523// Precondition:  size() != 0
1524template <class _Tp, class _Compare, class _Allocator>
1525typename __tree<_Tp, _Compare, _Allocator>::__node_pointer
1526__tree<_Tp, _Compare, _Allocator>::__detach()
1527{
1528    __node_pointer __cache = static_cast<__node_pointer>(__begin_node());
1529    __begin_node() = __end_node();
1530    __end_node()->__left_->__parent_ = nullptr;
1531    __end_node()->__left_ = nullptr;
1532    size() = 0;
1533    // __cache->__left_ == nullptr
1534    if (__cache->__right_ != nullptr)
1535        __cache = static_cast<__node_pointer>(__cache->__right_);
1536    // __cache->__left_ == nullptr
1537    // __cache->__right_ == nullptr
1538    return __cache;
1539}
1540
1541// Precondition:  __cache != nullptr
1542//    __cache->left_ == nullptr
1543//    __cache->right_ == nullptr
1544//    This is no longer a red-black tree
1545template <class _Tp, class _Compare, class _Allocator>
1546typename __tree<_Tp, _Compare, _Allocator>::__node_pointer
1547__tree<_Tp, _Compare, _Allocator>::__detach(__node_pointer __cache)
1548{
1549    if (__cache->__parent_ == nullptr)
1550        return nullptr;
1551    if (__tree_is_left_child(static_cast<__node_base_pointer>(__cache)))
1552    {
1553        __cache->__parent_->__left_ = nullptr;
1554        __cache = static_cast<__node_pointer>(__cache->__parent_);
1555        if (__cache->__right_ == nullptr)
1556            return __cache;
1557        return static_cast<__node_pointer>(__tree_leaf(__cache->__right_));
1558    }
1559    // __cache is right child
1560    __cache->__parent_unsafe()->__right_ = nullptr;
1561    __cache = static_cast<__node_pointer>(__cache->__parent_);
1562    if (__cache->__left_ == nullptr)
1563        return __cache;
1564    return static_cast<__node_pointer>(__tree_leaf(__cache->__left_));
1565}
1566
1567template <class _Tp, class _Compare, class _Allocator>
1568__tree<_Tp, _Compare, _Allocator>&
1569__tree<_Tp, _Compare, _Allocator>::operator=(const __tree& __t)
1570{
1571    if (this != &__t)
1572    {
1573        value_comp() = __t.value_comp();
1574        __copy_assign_alloc(__t);
1575        __assign_multi(__t.begin(), __t.end());
1576    }
1577    return *this;
1578}
1579
1580template <class _Tp, class _Compare, class _Allocator>
1581template <class _InputIterator>
1582void
1583__tree<_Tp, _Compare, _Allocator>::__assign_unique(_InputIterator __first, _InputIterator __last)
1584{
1585    typedef iterator_traits<_InputIterator> _ITraits;
1586    typedef typename _ITraits::value_type _ItValueType;
1587    static_assert((is_same<_ItValueType, __container_value_type>::value),
1588                  "__assign_unique may only be called with the containers value type");
1589
1590    if (size() != 0)
1591    {
1592        __node_pointer __cache = __detach();
1593#ifndef _LIBCPP_NO_EXCEPTIONS
1594        try
1595        {
1596#endif  // _LIBCPP_NO_EXCEPTIONS
1597            for (; __cache != nullptr && __first != __last; ++__first)
1598            {
1599                __cache->__value_ = *__first;
1600                __node_pointer __next = __detach(__cache);
1601                __node_insert_unique(__cache);
1602                __cache = __next;
1603            }
1604#ifndef _LIBCPP_NO_EXCEPTIONS
1605        }
1606        catch (...)
1607        {
1608            while (__cache->__parent_ != nullptr)
1609                __cache = static_cast<__node_pointer>(__cache->__parent_);
1610            destroy(__cache);
1611            throw;
1612        }
1613#endif  // _LIBCPP_NO_EXCEPTIONS
1614        if (__cache != nullptr)
1615        {
1616            while (__cache->__parent_ != nullptr)
1617                __cache = static_cast<__node_pointer>(__cache->__parent_);
1618            destroy(__cache);
1619        }
1620    }
1621    for (; __first != __last; ++__first)
1622        __insert_unique(*__first);
1623}
1624
1625template <class _Tp, class _Compare, class _Allocator>
1626template <class _InputIterator>
1627void
1628__tree<_Tp, _Compare, _Allocator>::__assign_multi(_InputIterator __first, _InputIterator __last)
1629{
1630    typedef iterator_traits<_InputIterator> _ITraits;
1631    typedef typename _ITraits::value_type _ItValueType;
1632    static_assert((is_same<_ItValueType, __container_value_type>::value ||
1633                  is_same<_ItValueType, __node_value_type>::value),
1634                  "__assign_multi may only be called with the containers value type"
1635                  " or the nodes value type");
1636    if (size() != 0)
1637    {
1638        __node_pointer __cache = __detach();
1639#ifndef _LIBCPP_NO_EXCEPTIONS
1640        try
1641        {
1642#endif  // _LIBCPP_NO_EXCEPTIONS
1643            for (; __cache != nullptr && __first != __last; ++__first)
1644            {
1645                __cache->__value_ = *__first;
1646                __node_pointer __next = __detach(__cache);
1647                __node_insert_multi(__cache);
1648                __cache = __next;
1649            }
1650#ifndef _LIBCPP_NO_EXCEPTIONS
1651        }
1652        catch (...)
1653        {
1654            while (__cache->__parent_ != nullptr)
1655                __cache = static_cast<__node_pointer>(__cache->__parent_);
1656            destroy(__cache);
1657            throw;
1658        }
1659#endif  // _LIBCPP_NO_EXCEPTIONS
1660        if (__cache != nullptr)
1661        {
1662            while (__cache->__parent_ != nullptr)
1663                __cache = static_cast<__node_pointer>(__cache->__parent_);
1664            destroy(__cache);
1665        }
1666    }
1667    for (; __first != __last; ++__first)
1668        __insert_multi(_NodeTypes::__get_value(*__first));
1669}
1670
1671template <class _Tp, class _Compare, class _Allocator>
1672__tree<_Tp, _Compare, _Allocator>::__tree(const __tree& __t)
1673    : __begin_node_(__iter_pointer()),
1674      __pair1_(__second_tag(), __node_traits::select_on_container_copy_construction(__t.__node_alloc())),
1675      __pair3_(0, __t.value_comp())
1676{
1677    __begin_node() = __end_node();
1678}
1679
1680#ifndef _LIBCPP_CXX03_LANG
1681
1682template <class _Tp, class _Compare, class _Allocator>
1683__tree<_Tp, _Compare, _Allocator>::__tree(__tree&& __t)
1684    _NOEXCEPT_(
1685        is_nothrow_move_constructible<__node_allocator>::value &&
1686        is_nothrow_move_constructible<value_compare>::value)
1687    : __begin_node_(_VSTD::move(__t.__begin_node_)),
1688      __pair1_(_VSTD::move(__t.__pair1_)),
1689      __pair3_(_VSTD::move(__t.__pair3_))
1690{
1691    if (size() == 0)
1692        __begin_node() = __end_node();
1693    else
1694    {
1695        __end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__end_node());
1696        __t.__begin_node() = __t.__end_node();
1697        __t.__end_node()->__left_ = nullptr;
1698        __t.size() = 0;
1699    }
1700}
1701
1702template <class _Tp, class _Compare, class _Allocator>
1703__tree<_Tp, _Compare, _Allocator>::__tree(__tree&& __t, const allocator_type& __a)
1704    : __pair1_(__second_tag(), __node_allocator(__a)),
1705      __pair3_(0, _VSTD::move(__t.value_comp()))
1706{
1707    if (__a == __t.__alloc())
1708    {
1709        if (__t.size() == 0)
1710            __begin_node() = __end_node();
1711        else
1712        {
1713            __begin_node() = __t.__begin_node();
1714            __end_node()->__left_ = __t.__end_node()->__left_;
1715            __end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__end_node());
1716            size() = __t.size();
1717            __t.__begin_node() = __t.__end_node();
1718            __t.__end_node()->__left_ = nullptr;
1719            __t.size() = 0;
1720        }
1721    }
1722    else
1723    {
1724        __begin_node() = __end_node();
1725    }
1726}
1727
1728template <class _Tp, class _Compare, class _Allocator>
1729void
1730__tree<_Tp, _Compare, _Allocator>::__move_assign(__tree& __t, true_type)
1731    _NOEXCEPT_(is_nothrow_move_assignable<value_compare>::value &&
1732               is_nothrow_move_assignable<__node_allocator>::value)
1733{
1734    destroy(static_cast<__node_pointer>(__end_node()->__left_));
1735    __begin_node_ = __t.__begin_node_;
1736    __pair1_.first() = __t.__pair1_.first();
1737    __move_assign_alloc(__t);
1738    __pair3_ = _VSTD::move(__t.__pair3_);
1739    if (size() == 0)
1740        __begin_node() = __end_node();
1741    else
1742    {
1743        __end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__end_node());
1744        __t.__begin_node() = __t.__end_node();
1745        __t.__end_node()->__left_ = nullptr;
1746        __t.size() = 0;
1747    }
1748}
1749
1750template <class _Tp, class _Compare, class _Allocator>
1751void
1752__tree<_Tp, _Compare, _Allocator>::__move_assign(__tree& __t, false_type)
1753{
1754    if (__node_alloc() == __t.__node_alloc())
1755        __move_assign(__t, true_type());
1756    else
1757    {
1758        value_comp() = _VSTD::move(__t.value_comp());
1759        const_iterator __e = end();
1760        if (size() != 0)
1761        {
1762            __node_pointer __cache = __detach();
1763#ifndef _LIBCPP_NO_EXCEPTIONS
1764            try
1765            {
1766#endif  // _LIBCPP_NO_EXCEPTIONS
1767                while (__cache != nullptr && __t.size() != 0)
1768                {
1769                    __cache->__value_ = _VSTD::move(__t.remove(__t.begin())->__value_);
1770                    __node_pointer __next = __detach(__cache);
1771                    __node_insert_multi(__cache);
1772                    __cache = __next;
1773                }
1774#ifndef _LIBCPP_NO_EXCEPTIONS
1775            }
1776            catch (...)
1777            {
1778                while (__cache->__parent_ != nullptr)
1779                    __cache = static_cast<__node_pointer>(__cache->__parent_);
1780                destroy(__cache);
1781                throw;
1782            }
1783#endif  // _LIBCPP_NO_EXCEPTIONS
1784            if (__cache != nullptr)
1785            {
1786                while (__cache->__parent_ != nullptr)
1787                    __cache = static_cast<__node_pointer>(__cache->__parent_);
1788                destroy(__cache);
1789            }
1790        }
1791        while (__t.size() != 0)
1792            __insert_multi(__e, _NodeTypes::__move(__t.remove(__t.begin())->__value_));
1793    }
1794}
1795
1796template <class _Tp, class _Compare, class _Allocator>
1797__tree<_Tp, _Compare, _Allocator>&
1798__tree<_Tp, _Compare, _Allocator>::operator=(__tree&& __t)
1799    _NOEXCEPT_(
1800        __node_traits::propagate_on_container_move_assignment::value &&
1801        is_nothrow_move_assignable<value_compare>::value &&
1802        is_nothrow_move_assignable<__node_allocator>::value)
1803        
1804{
1805    __move_assign(__t, integral_constant<bool,
1806                  __node_traits::propagate_on_container_move_assignment::value>());
1807    return *this;
1808}
1809
1810#endif  // _LIBCPP_CXX03_LANG
1811
1812template <class _Tp, class _Compare, class _Allocator>
1813__tree<_Tp, _Compare, _Allocator>::~__tree()
1814{
1815    static_assert((is_copy_constructible<value_compare>::value),
1816                 "Comparator must be copy-constructible.");
1817#ifndef _LIBCPP_CXX03_LANG
1818    static_assert((__diagnose_tree_helper<_Tp, _Compare, _Allocator>::
1819                     __trigger_diagnostics()), "");
1820#endif
1821  destroy(__root());
1822}
1823
1824template <class _Tp, class _Compare, class _Allocator>
1825void
1826__tree<_Tp, _Compare, _Allocator>::destroy(__node_pointer __nd) _NOEXCEPT
1827{
1828    if (__nd != nullptr)
1829    {
1830        destroy(static_cast<__node_pointer>(__nd->__left_));
1831        destroy(static_cast<__node_pointer>(__nd->__right_));
1832        __node_allocator& __na = __node_alloc();
1833        __node_traits::destroy(__na, _NodeTypes::__get_ptr(__nd->__value_));
1834        __node_traits::deallocate(__na, __nd, 1);
1835    }
1836}
1837
1838template <class _Tp, class _Compare, class _Allocator>
1839void
1840__tree<_Tp, _Compare, _Allocator>::swap(__tree& __t)
1841#if _LIBCPP_STD_VER <= 11
1842        _NOEXCEPT_(
1843            __is_nothrow_swappable<value_compare>::value
1844            && (!__node_traits::propagate_on_container_swap::value ||
1845                 __is_nothrow_swappable<__node_allocator>::value)
1846            )
1847#else
1848        _NOEXCEPT_(__is_nothrow_swappable<value_compare>::value)
1849#endif
1850{
1851    using _VSTD::swap;
1852    swap(__begin_node_, __t.__begin_node_);
1853    swap(__pair1_.first(), __t.__pair1_.first());
1854    __swap_allocator(__node_alloc(), __t.__node_alloc());
1855    __pair3_.swap(__t.__pair3_);
1856    if (size() == 0)
1857        __begin_node() = __end_node();
1858    else
1859        __end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__end_node());
1860    if (__t.size() == 0)
1861        __t.__begin_node() = __t.__end_node();
1862    else
1863        __t.__end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__t.__end_node());
1864}
1865
1866template <class _Tp, class _Compare, class _Allocator>
1867void
1868__tree<_Tp, _Compare, _Allocator>::clear() _NOEXCEPT
1869{
1870    destroy(__root());
1871    size() = 0;
1872    __begin_node() = __end_node();
1873    __end_node()->__left_ = nullptr;
1874}
1875
1876// Find lower_bound place to insert
1877// Set __parent to parent of null leaf
1878// Return reference to null leaf
1879template <class _Tp, class _Compare, class _Allocator>
1880typename __tree<_Tp, _Compare, _Allocator>::__node_base_pointer&
1881__tree<_Tp, _Compare, _Allocator>::__find_leaf_low(__parent_pointer& __parent,
1882                                                   const key_type& __v)
1883{
1884    __node_pointer __nd = __root();
1885    if (__nd != nullptr)
1886    {
1887        while (true)
1888        {
1889            if (value_comp()(__nd->__value_, __v))
1890            {
1891                if (__nd->__right_ != nullptr)
1892                    __nd = static_cast<__node_pointer>(__nd->__right_);
1893                else
1894                {
1895                    __parent = static_cast<__parent_pointer>(__nd);
1896                    return __nd->__right_;
1897                }
1898            }
1899            else
1900            {
1901                if (__nd->__left_ != nullptr)
1902                    __nd = static_cast<__node_pointer>(__nd->__left_);
1903                else
1904                {
1905                    __parent = static_cast<__parent_pointer>(__nd);
1906                    return __parent->__left_;
1907                }
1908            }
1909        }
1910    }
1911    __parent = static_cast<__parent_pointer>(__end_node());
1912    return __parent->__left_;
1913}
1914
1915// Find upper_bound place to insert
1916// Set __parent to parent of null leaf
1917// Return reference to null leaf
1918template <class _Tp, class _Compare, class _Allocator>
1919typename __tree<_Tp, _Compare, _Allocator>::__node_base_pointer&
1920__tree<_Tp, _Compare, _Allocator>::__find_leaf_high(__parent_pointer& __parent,
1921                                                    const key_type& __v)
1922{
1923    __node_pointer __nd = __root();
1924    if (__nd != nullptr)
1925    {
1926        while (true)
1927        {
1928            if (value_comp()(__v, __nd->__value_))
1929            {
1930                if (__nd->__left_ != nullptr)
1931                    __nd = static_cast<__node_pointer>(__nd->__left_);
1932                else
1933                {
1934                    __parent = static_cast<__parent_pointer>(__nd);
1935                    return __parent->__left_;
1936                }
1937            }
1938            else
1939            {
1940                if (__nd->__right_ != nullptr)
1941                    __nd = static_cast<__node_pointer>(__nd->__right_);
1942                else
1943                {
1944                    __parent = static_cast<__parent_pointer>(__nd);
1945                    return __nd->__right_;
1946                }
1947            }
1948        }
1949    }
1950    __parent = static_cast<__parent_pointer>(__end_node());
1951    return __parent->__left_;
1952}
1953
1954// Find leaf place to insert closest to __hint
1955// First check prior to __hint.
1956// Next check after __hint.
1957// Next do O(log N) search.
1958// Set __parent to parent of null leaf
1959// Return reference to null leaf
1960template <class _Tp, class _Compare, class _Allocator>
1961typename __tree<_Tp, _Compare, _Allocator>::__node_base_pointer&
1962__tree<_Tp, _Compare, _Allocator>::__find_leaf(const_iterator __hint,
1963                                               __parent_pointer& __parent,
1964                                               const key_type& __v)
1965{
1966    if (__hint == end() || !value_comp()(*__hint, __v))  // check before
1967    {
1968        // __v <= *__hint
1969        const_iterator __prior = __hint;
1970        if (__prior == begin() || !value_comp()(__v, *--__prior))
1971        {
1972            // *prev(__hint) <= __v <= *__hint
1973            if (__hint.__ptr_->__left_ == nullptr)
1974            {
1975                __parent = static_cast<__parent_pointer>(__hint.__ptr_);
1976                return __parent->__left_;
1977            }
1978            else
1979            {
1980                __parent = static_cast<__parent_pointer>(__prior.__ptr_);
1981                return static_cast<__node_base_pointer>(__prior.__ptr_)->__right_;
1982            }
1983        }
1984        // __v < *prev(__hint)
1985        return __find_leaf_high(__parent, __v);
1986    }
1987    // else __v > *__hint
1988    return __find_leaf_low(__parent, __v);
1989}
1990
1991// Find place to insert if __v doesn't exist
1992// Set __parent to parent of null leaf
1993// Return reference to null leaf
1994// If __v exists, set parent to node of __v and return reference to node of __v
1995template <class _Tp, class _Compare, class _Allocator>
1996template <class _Key>
1997typename __tree<_Tp, _Compare, _Allocator>::__node_base_pointer&
1998__tree<_Tp, _Compare, _Allocator>::__find_equal(__parent_pointer& __parent,
1999                                                const _Key& __v)
2000{
2001    __node_pointer __nd = __root();
2002    __node_base_pointer* __nd_ptr = __root_ptr();
2003    if (__nd != nullptr)
2004    {
2005        while (true)
2006        {
2007            if (value_comp()(__v, __nd->__value_))
2008            {
2009                if (__nd->__left_ != nullptr) {
2010                    __nd_ptr = _VSTD::addressof(__nd->__left_);
2011                    __nd = static_cast<__node_pointer>(__nd->__left_);
2012                } else {
2013                    __parent = static_cast<__parent_pointer>(__nd);
2014                    return __parent->__left_;
2015                }
2016            }
2017            else if (value_comp()(__nd->__value_, __v))
2018            {
2019                if (__nd->__right_ != nullptr) {
2020                    __nd_ptr = _VSTD::addressof(__nd->__right_);
2021                    __nd = static_cast<__node_pointer>(__nd->__right_);
2022                } else {
2023                    __parent = static_cast<__parent_pointer>(__nd);
2024                    return __nd->__right_;
2025                }
2026            }
2027            else
2028            {
2029                __parent = static_cast<__parent_pointer>(__nd);
2030                return *__nd_ptr;
2031            }
2032        }
2033    }
2034    __parent = static_cast<__parent_pointer>(__end_node());
2035    return __parent->__left_;
2036}
2037
2038// Find place to insert if __v doesn't exist
2039// First check prior to __hint.
2040// Next check after __hint.
2041// Next do O(log N) search.
2042// Set __parent to parent of null leaf
2043// Return reference to null leaf
2044// If __v exists, set parent to node of __v and return reference to node of __v
2045template <class _Tp, class _Compare, class _Allocator>
2046template <class _Key>
2047typename __tree<_Tp, _Compare, _Allocator>::__node_base_pointer&
2048__tree<_Tp, _Compare, _Allocator>::__find_equal(const_iterator __hint,
2049                                                __parent_pointer& __parent,
2050                                                __node_base_pointer& __dummy,
2051                                                const _Key& __v)
2052{
2053    if (__hint == end() || value_comp()(__v, *__hint))  // check before
2054    {
2055        // __v < *__hint
2056        const_iterator __prior = __hint;
2057        if (__prior == begin() || value_comp()(*--__prior, __v))
2058        {
2059            // *prev(__hint) < __v < *__hint
2060            if (__hint.__ptr_->__left_ == nullptr)
2061            {
2062                __parent = static_cast<__parent_pointer>(__hint.__ptr_);
2063                return __parent->__left_;
2064            }
2065            else
2066            {
2067                __parent = static_cast<__parent_pointer>(__prior.__ptr_);
2068                return static_cast<__node_base_pointer>(__prior.__ptr_)->__right_;
2069            }
2070        }
2071        // __v <= *prev(__hint)
2072        return __find_equal(__parent, __v);
2073    }
2074    else if (value_comp()(*__hint, __v))  // check after
2075    {
2076        // *__hint < __v
2077        const_iterator __next = _VSTD::next(__hint);
2078        if (__next == end() || value_comp()(__v, *__next))
2079        {
2080            // *__hint < __v < *_VSTD::next(__hint)
2081            if (__hint.__get_np()->__right_ == nullptr)
2082            {
2083                __parent = static_cast<__parent_pointer>(__hint.__ptr_);
2084                return static_cast<__node_base_pointer>(__hint.__ptr_)->__right_;
2085            }
2086            else
2087            {
2088                __parent = static_cast<__parent_pointer>(__next.__ptr_);
2089                return __parent->__left_;
2090            }
2091        }
2092        // *next(__hint) <= __v
2093        return __find_equal(__parent, __v);
2094    }
2095    // else __v == *__hint
2096    __parent = static_cast<__parent_pointer>(__hint.__ptr_);
2097    __dummy = static_cast<__node_base_pointer>(__hint.__ptr_);
2098    return __dummy;
2099}
2100
2101template <class _Tp, class _Compare, class _Allocator>
2102void
2103__tree<_Tp, _Compare, _Allocator>::__insert_node_at(__parent_pointer     __parent,
2104                                                    __node_base_pointer& __child,
2105                                                    __node_base_pointer  __new_node)
2106{
2107    __new_node->__left_   = nullptr;
2108    __new_node->__right_  = nullptr;
2109    __new_node->__parent_ = __parent;
2110    // __new_node->__is_black_ is initialized in __tree_balance_after_insert
2111    __child = __new_node;
2112    if (__begin_node()->__left_ != nullptr)
2113        __begin_node() = static_cast<__iter_pointer>(__begin_node()->__left_);
2114    __tree_balance_after_insert(__end_node()->__left_, __child);
2115    ++size();
2116}
2117
2118#ifndef _LIBCPP_CXX03_LANG
2119template <class _Tp, class _Compare, class _Allocator>
2120template <class _Key, class... _Args>
2121pair<typename __tree<_Tp, _Compare, _Allocator>::iterator, bool>
2122__tree<_Tp, _Compare, _Allocator>::__emplace_unique_key_args(_Key const& __k, _Args&&... __args)
2123#else
2124template <class _Tp, class _Compare, class _Allocator>
2125template <class _Key, class _Args>
2126pair<typename __tree<_Tp, _Compare, _Allocator>::iterator, bool>
2127__tree<_Tp, _Compare, _Allocator>::__emplace_unique_key_args(_Key const& __k, _Args& __args)
2128#endif
2129{
2130    __parent_pointer __parent;
2131    __node_base_pointer& __child = __find_equal(__parent, __k);
2132    __node_pointer __r = static_cast<__node_pointer>(__child);
2133    bool __inserted = false;
2134    if (__child == nullptr)
2135    {
2136#ifndef _LIBCPP_CXX03_LANG
2137        __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2138#else
2139        __node_holder __h = __construct_node(__args);
2140#endif
2141        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2142        __r = __h.release();
2143        __inserted = true;
2144    }
2145    return pair<iterator, bool>(iterator(__r), __inserted);
2146}
2147
2148
2149#ifndef _LIBCPP_CXX03_LANG
2150template <class _Tp, class _Compare, class _Allocator>
2151template <class _Key, class... _Args>
2152typename __tree<_Tp, _Compare, _Allocator>::iterator
2153__tree<_Tp, _Compare, _Allocator>::__emplace_hint_unique_key_args(
2154    const_iterator __p, _Key const& __k, _Args&&... __args)
2155#else
2156template <class _Tp, class _Compare, class _Allocator>
2157template <class _Key, class _Args>
2158typename __tree<_Tp, _Compare, _Allocator>::iterator
2159__tree<_Tp, _Compare, _Allocator>::__emplace_hint_unique_key_args(
2160    const_iterator __p, _Key const& __k, _Args& __args)
2161#endif
2162{
2163    __parent_pointer __parent;
2164    __node_base_pointer __dummy;
2165    __node_base_pointer& __child = __find_equal(__p, __parent, __dummy, __k);
2166    __node_pointer __r = static_cast<__node_pointer>(__child);
2167    if (__child == nullptr)
2168    {
2169#ifndef _LIBCPP_CXX03_LANG
2170        __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2171#else
2172        __node_holder __h = __construct_node(__args);
2173#endif
2174        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2175        __r = __h.release();
2176    }
2177    return iterator(__r);
2178}
2179
2180
2181#ifndef _LIBCPP_CXX03_LANG
2182
2183template <class _Tp, class _Compare, class _Allocator>
2184template <class ..._Args>
2185typename __tree<_Tp, _Compare, _Allocator>::__node_holder
2186__tree<_Tp, _Compare, _Allocator>::__construct_node(_Args&& ...__args)
2187{
2188    static_assert(!__is_tree_value_type<_Args...>::value,
2189                  "Cannot construct from __value_type");
2190    __node_allocator& __na = __node_alloc();
2191    __node_holder __h(__node_traits::allocate(__na, 1), _Dp(__na));
2192    __node_traits::construct(__na, _NodeTypes::__get_ptr(__h->__value_), _VSTD::forward<_Args>(__args)...);
2193    __h.get_deleter().__value_constructed = true;
2194    return __h;
2195}
2196
2197
2198template <class _Tp, class _Compare, class _Allocator>
2199template <class... _Args>
2200pair<typename __tree<_Tp, _Compare, _Allocator>::iterator, bool>
2201__tree<_Tp, _Compare, _Allocator>::__emplace_unique_impl(_Args&&... __args)
2202{
2203    __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2204    __parent_pointer __parent;
2205    __node_base_pointer& __child = __find_equal(__parent, __h->__value_);
2206    __node_pointer __r = static_cast<__node_pointer>(__child);
2207    bool __inserted = false;
2208    if (__child == nullptr)
2209    {
2210        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2211        __r = __h.release();
2212        __inserted = true;
2213    }
2214    return pair<iterator, bool>(iterator(__r), __inserted);
2215}
2216
2217template <class _Tp, class _Compare, class _Allocator>
2218template <class... _Args>
2219typename __tree<_Tp, _Compare, _Allocator>::iterator
2220__tree<_Tp, _Compare, _Allocator>::__emplace_hint_unique_impl(const_iterator __p, _Args&&... __args)
2221{
2222    __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2223    __parent_pointer __parent;
2224    __node_base_pointer __dummy;
2225    __node_base_pointer& __child = __find_equal(__p, __parent, __dummy, __h->__value_);
2226    __node_pointer __r = static_cast<__node_pointer>(__child);
2227    if (__child == nullptr)
2228    {
2229        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2230        __r = __h.release();
2231    }
2232    return iterator(__r);
2233}
2234
2235template <class _Tp, class _Compare, class _Allocator>
2236template <class... _Args>
2237typename __tree<_Tp, _Compare, _Allocator>::iterator
2238__tree<_Tp, _Compare, _Allocator>::__emplace_multi(_Args&&... __args)
2239{
2240    __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2241    __parent_pointer __parent;
2242    __node_base_pointer& __child = __find_leaf_high(__parent, _NodeTypes::__get_key(__h->__value_));
2243    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2244    return iterator(static_cast<__node_pointer>(__h.release()));
2245}
2246
2247template <class _Tp, class _Compare, class _Allocator>
2248template <class... _Args>
2249typename __tree<_Tp, _Compare, _Allocator>::iterator
2250__tree<_Tp, _Compare, _Allocator>::__emplace_hint_multi(const_iterator __p,
2251                                                        _Args&&... __args)
2252{
2253    __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2254    __parent_pointer __parent;
2255    __node_base_pointer& __child = __find_leaf(__p, __parent, _NodeTypes::__get_key(__h->__value_));
2256    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2257    return iterator(static_cast<__node_pointer>(__h.release()));
2258}
2259
2260
2261#else  // _LIBCPP_CXX03_LANG
2262
2263template <class _Tp, class _Compare, class _Allocator>
2264typename __tree<_Tp, _Compare, _Allocator>::__node_holder
2265__tree<_Tp, _Compare, _Allocator>::__construct_node(const __container_value_type& __v)
2266{
2267    __node_allocator& __na = __node_alloc();
2268    __node_holder __h(__node_traits::allocate(__na, 1), _Dp(__na));
2269    __node_traits::construct(__na, _NodeTypes::__get_ptr(__h->__value_), __v);
2270    __h.get_deleter().__value_constructed = true;
2271    return _LIBCPP_EXPLICIT_MOVE(__h);  // explicitly moved for C++03
2272}
2273
2274#endif  // _LIBCPP_CXX03_LANG
2275
2276#ifdef _LIBCPP_CXX03_LANG
2277template <class _Tp, class _Compare, class _Allocator>
2278typename __tree<_Tp, _Compare, _Allocator>::iterator
2279__tree<_Tp, _Compare, _Allocator>::__insert_multi(const __container_value_type& __v)
2280{
2281    __parent_pointer __parent;
2282    __node_base_pointer& __child = __find_leaf_high(__parent, _NodeTypes::__get_key(__v));
2283    __node_holder __h = __construct_node(__v);
2284    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2285    return iterator(__h.release());
2286}
2287
2288template <class _Tp, class _Compare, class _Allocator>
2289typename __tree<_Tp, _Compare, _Allocator>::iterator
2290__tree<_Tp, _Compare, _Allocator>::__insert_multi(const_iterator __p, const __container_value_type& __v)
2291{
2292    __parent_pointer __parent;
2293    __node_base_pointer& __child = __find_leaf(__p, __parent, _NodeTypes::__get_key(__v));
2294    __node_holder __h = __construct_node(__v);
2295    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2296    return iterator(__h.release());
2297}
2298#endif
2299
2300template <class _Tp, class _Compare, class _Allocator>
2301pair<typename __tree<_Tp, _Compare, _Allocator>::iterator, bool>
2302__tree<_Tp, _Compare, _Allocator>::__node_insert_unique(__node_pointer __nd)
2303{
2304    __parent_pointer __parent;
2305    __node_base_pointer& __child = __find_equal(__parent, __nd->__value_);
2306    __node_pointer __r = static_cast<__node_pointer>(__child);
2307    bool __inserted = false;
2308    if (__child == nullptr)
2309    {
2310        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__nd));
2311        __r = __nd;
2312        __inserted = true;
2313    }
2314    return pair<iterator, bool>(iterator(__r), __inserted);
2315}
2316
2317template <class _Tp, class _Compare, class _Allocator>
2318typename __tree<_Tp, _Compare, _Allocator>::iterator
2319__tree<_Tp, _Compare, _Allocator>::__node_insert_unique(const_iterator __p,
2320                                                        __node_pointer __nd)
2321{
2322    __parent_pointer __parent;
2323    __node_base_pointer __dummy;
2324    __node_base_pointer& __child = __find_equal(__p, __parent, __nd->__value_);
2325    __node_pointer __r = static_cast<__node_pointer>(__child);
2326    if (__child == nullptr)
2327    {
2328        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__nd));
2329        __r = __nd;
2330    }
2331    return iterator(__r);
2332}
2333
2334template <class _Tp, class _Compare, class _Allocator>
2335typename __tree<_Tp, _Compare, _Allocator>::iterator
2336__tree<_Tp, _Compare, _Allocator>::__node_insert_multi(__node_pointer __nd)
2337{
2338    __parent_pointer __parent;
2339    __node_base_pointer& __child = __find_leaf_high(__parent, _NodeTypes::__get_key(__nd->__value_));
2340    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__nd));
2341    return iterator(__nd);
2342}
2343
2344template <class _Tp, class _Compare, class _Allocator>
2345typename __tree<_Tp, _Compare, _Allocator>::iterator
2346__tree<_Tp, _Compare, _Allocator>::__node_insert_multi(const_iterator __p,
2347                                                       __node_pointer __nd)
2348{
2349    __parent_pointer __parent;
2350    __node_base_pointer& __child = __find_leaf(__p, __parent, _NodeTypes::__get_key(__nd->__value_));
2351    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__nd));
2352    return iterator(__nd);
2353}
2354
2355template <class _Tp, class _Compare, class _Allocator>
2356typename __tree<_Tp, _Compare, _Allocator>::iterator
2357__tree<_Tp, _Compare, _Allocator>::erase(const_iterator __p)
2358{
2359    __node_pointer __np = __p.__get_np();
2360    iterator __r(__p.__ptr_);
2361    ++__r;
2362    if (__begin_node() == __p.__ptr_)
2363        __begin_node() = __r.__ptr_;
2364    --size();
2365    __node_allocator& __na = __node_alloc();
2366    __tree_remove(__end_node()->__left_,
2367                  static_cast<__node_base_pointer>(__np));
2368    __node_traits::destroy(__na, _NodeTypes::__get_ptr(
2369        const_cast<__node_value_type&>(*__p)));
2370    __node_traits::deallocate(__na, __np, 1);
2371    return __r;
2372}
2373
2374template <class _Tp, class _Compare, class _Allocator>
2375typename __tree<_Tp, _Compare, _Allocator>::iterator
2376__tree<_Tp, _Compare, _Allocator>::erase(const_iterator __f, const_iterator __l)
2377{
2378    while (__f != __l)
2379        __f = erase(__f);
2380    return iterator(__l.__ptr_);
2381}
2382
2383template <class _Tp, class _Compare, class _Allocator>
2384template <class _Key>
2385typename __tree<_Tp, _Compare, _Allocator>::size_type
2386__tree<_Tp, _Compare, _Allocator>::__erase_unique(const _Key& __k)
2387{
2388    iterator __i = find(__k);
2389    if (__i == end())
2390        return 0;
2391    erase(__i);
2392    return 1;
2393}
2394
2395template <class _Tp, class _Compare, class _Allocator>
2396template <class _Key>
2397typename __tree<_Tp, _Compare, _Allocator>::size_type
2398__tree<_Tp, _Compare, _Allocator>::__erase_multi(const _Key& __k)
2399{
2400    pair<iterator, iterator> __p = __equal_range_multi(__k);
2401    size_type __r = 0;
2402    for (; __p.first != __p.second; ++__r)
2403        __p.first = erase(__p.first);
2404    return __r;
2405}
2406
2407template <class _Tp, class _Compare, class _Allocator>
2408template <class _Key>
2409typename __tree<_Tp, _Compare, _Allocator>::iterator
2410__tree<_Tp, _Compare, _Allocator>::find(const _Key& __v)
2411{
2412    iterator __p = __lower_bound(__v, __root(), __end_node());
2413    if (__p != end() && !value_comp()(__v, *__p))
2414        return __p;
2415    return end();
2416}
2417
2418template <class _Tp, class _Compare, class _Allocator>
2419template <class _Key>
2420typename __tree<_Tp, _Compare, _Allocator>::const_iterator
2421__tree<_Tp, _Compare, _Allocator>::find(const _Key& __v) const
2422{
2423    const_iterator __p = __lower_bound(__v, __root(), __end_node());
2424    if (__p != end() && !value_comp()(__v, *__p))
2425        return __p;
2426    return end();
2427}
2428
2429template <class _Tp, class _Compare, class _Allocator>
2430template <class _Key>
2431typename __tree<_Tp, _Compare, _Allocator>::size_type
2432__tree<_Tp, _Compare, _Allocator>::__count_unique(const _Key& __k) const
2433{
2434    __node_pointer __rt = __root();
2435    while (__rt != nullptr)
2436    {
2437        if (value_comp()(__k, __rt->__value_))
2438        {
2439            __rt = static_cast<__node_pointer>(__rt->__left_);
2440        }
2441        else if (value_comp()(__rt->__value_, __k))
2442            __rt = static_cast<__node_pointer>(__rt->__right_);
2443        else
2444            return 1;
2445    }
2446    return 0;
2447}
2448
2449template <class _Tp, class _Compare, class _Allocator>
2450template <class _Key>
2451typename __tree<_Tp, _Compare, _Allocator>::size_type
2452__tree<_Tp, _Compare, _Allocator>::__count_multi(const _Key& __k) const
2453{
2454    __iter_pointer __result = __end_node();
2455    __node_pointer __rt = __root();
2456    while (__rt != nullptr)
2457    {
2458        if (value_comp()(__k, __rt->__value_))
2459        {
2460            __result = static_cast<__iter_pointer>(__rt);
2461            __rt = static_cast<__node_pointer>(__rt->__left_);
2462        }
2463        else if (value_comp()(__rt->__value_, __k))
2464            __rt = static_cast<__node_pointer>(__rt->__right_);
2465        else
2466            return _VSTD::distance(
2467                __lower_bound(__k, static_cast<__node_pointer>(__rt->__left_), static_cast<__iter_pointer>(__rt)),
2468                __upper_bound(__k, static_cast<__node_pointer>(__rt->__right_), __result)
2469            );
2470    }
2471    return 0;
2472}
2473
2474template <class _Tp, class _Compare, class _Allocator>
2475template <class _Key>
2476typename __tree<_Tp, _Compare, _Allocator>::iterator
2477__tree<_Tp, _Compare, _Allocator>::__lower_bound(const _Key& __v,
2478                                                 __node_pointer __root,
2479                                                 __iter_pointer __result)
2480{
2481    while (__root != nullptr)
2482    {
2483        if (!value_comp()(__root->__value_, __v))
2484        {
2485            __result = static_cast<__iter_pointer>(__root);
2486            __root = static_cast<__node_pointer>(__root->__left_);
2487        }
2488        else
2489            __root = static_cast<__node_pointer>(__root->__right_);
2490    }
2491    return iterator(__result);
2492}
2493
2494template <class _Tp, class _Compare, class _Allocator>
2495template <class _Key>
2496typename __tree<_Tp, _Compare, _Allocator>::const_iterator
2497__tree<_Tp, _Compare, _Allocator>::__lower_bound(const _Key& __v,
2498                                                 __node_pointer __root,
2499                                                 __iter_pointer __result) const
2500{
2501    while (__root != nullptr)
2502    {
2503        if (!value_comp()(__root->__value_, __v))
2504        {
2505            __result = static_cast<__iter_pointer>(__root);
2506            __root = static_cast<__node_pointer>(__root->__left_);
2507        }
2508        else
2509            __root = static_cast<__node_pointer>(__root->__right_);
2510    }
2511    return const_iterator(__result);
2512}
2513
2514template <class _Tp, class _Compare, class _Allocator>
2515template <class _Key>
2516typename __tree<_Tp, _Compare, _Allocator>::iterator
2517__tree<_Tp, _Compare, _Allocator>::__upper_bound(const _Key& __v,
2518                                                 __node_pointer __root,
2519                                                 __iter_pointer __result)
2520{
2521    while (__root != nullptr)
2522    {
2523        if (value_comp()(__v, __root->__value_))
2524        {
2525            __result = static_cast<__iter_pointer>(__root);
2526            __root = static_cast<__node_pointer>(__root->__left_);
2527        }
2528        else
2529            __root = static_cast<__node_pointer>(__root->__right_);
2530    }
2531    return iterator(__result);
2532}
2533
2534template <class _Tp, class _Compare, class _Allocator>
2535template <class _Key>
2536typename __tree<_Tp, _Compare, _Allocator>::const_iterator
2537__tree<_Tp, _Compare, _Allocator>::__upper_bound(const _Key& __v,
2538                                                 __node_pointer __root,
2539                                                 __iter_pointer __result) const
2540{
2541    while (__root != nullptr)
2542    {
2543        if (value_comp()(__v, __root->__value_))
2544        {
2545            __result = static_cast<__iter_pointer>(__root);
2546            __root = static_cast<__node_pointer>(__root->__left_);
2547        }
2548        else
2549            __root = static_cast<__node_pointer>(__root->__right_);
2550    }
2551    return const_iterator(__result);
2552}
2553
2554template <class _Tp, class _Compare, class _Allocator>
2555template <class _Key>
2556pair<typename __tree<_Tp, _Compare, _Allocator>::iterator,
2557     typename __tree<_Tp, _Compare, _Allocator>::iterator>
2558__tree<_Tp, _Compare, _Allocator>::__equal_range_unique(const _Key& __k)
2559{
2560    typedef pair<iterator, iterator> _Pp;
2561    __iter_pointer __result = __end_node();
2562    __node_pointer __rt = __root();
2563    while (__rt != nullptr)
2564    {
2565        if (value_comp()(__k, __rt->__value_))
2566        {
2567            __result = static_cast<__iter_pointer>(__rt);
2568            __rt = static_cast<__node_pointer>(__rt->__left_);
2569        }
2570        else if (value_comp()(__rt->__value_, __k))
2571            __rt = static_cast<__node_pointer>(__rt->__right_);
2572        else
2573            return _Pp(iterator(__rt),
2574                      iterator(
2575                          __rt->__right_ != nullptr ?
2576                              static_cast<__iter_pointer>(__tree_min(__rt->__right_))
2577                            : __result));
2578    }
2579    return _Pp(iterator(__result), iterator(__result));
2580}
2581
2582template <class _Tp, class _Compare, class _Allocator>
2583template <class _Key>
2584pair<typename __tree<_Tp, _Compare, _Allocator>::const_iterator,
2585     typename __tree<_Tp, _Compare, _Allocator>::const_iterator>
2586__tree<_Tp, _Compare, _Allocator>::__equal_range_unique(const _Key& __k) const
2587{
2588    typedef pair<const_iterator, const_iterator> _Pp;
2589    __iter_pointer __result = __end_node();
2590    __node_pointer __rt = __root();
2591    while (__rt != nullptr)
2592    {
2593        if (value_comp()(__k, __rt->__value_))
2594        {
2595            __result = static_cast<__iter_pointer>(__rt);
2596            __rt = static_cast<__node_pointer>(__rt->__left_);
2597        }
2598        else if (value_comp()(__rt->__value_, __k))
2599            __rt = static_cast<__node_pointer>(__rt->__right_);
2600        else
2601            return _Pp(const_iterator(__rt),
2602                      const_iterator(
2603                          __rt->__right_ != nullptr ?
2604                              static_cast<__iter_pointer>(__tree_min(__rt->__right_))
2605                            : __result));
2606    }
2607    return _Pp(const_iterator(__result), const_iterator(__result));
2608}
2609
2610template <class _Tp, class _Compare, class _Allocator>
2611template <class _Key>
2612pair<typename __tree<_Tp, _Compare, _Allocator>::iterator,
2613     typename __tree<_Tp, _Compare, _Allocator>::iterator>
2614__tree<_Tp, _Compare, _Allocator>::__equal_range_multi(const _Key& __k)
2615{
2616    typedef pair<iterator, iterator> _Pp;
2617    __iter_pointer __result = __end_node();
2618    __node_pointer __rt = __root();
2619    while (__rt != nullptr)
2620    {
2621        if (value_comp()(__k, __rt->__value_))
2622        {
2623            __result = static_cast<__iter_pointer>(__rt);
2624            __rt = static_cast<__node_pointer>(__rt->__left_);
2625        }
2626        else if (value_comp()(__rt->__value_, __k))
2627            __rt = static_cast<__node_pointer>(__rt->__right_);
2628        else
2629            return _Pp(__lower_bound(__k, static_cast<__node_pointer>(__rt->__left_), static_cast<__iter_pointer>(__rt)),
2630                      __upper_bound(__k, static_cast<__node_pointer>(__rt->__right_), __result));
2631    }
2632    return _Pp(iterator(__result), iterator(__result));
2633}
2634
2635template <class _Tp, class _Compare, class _Allocator>
2636template <class _Key>
2637pair<typename __tree<_Tp, _Compare, _Allocator>::const_iterator,
2638     typename __tree<_Tp, _Compare, _Allocator>::const_iterator>
2639__tree<_Tp, _Compare, _Allocator>::__equal_range_multi(const _Key& __k) const
2640{
2641    typedef pair<const_iterator, const_iterator> _Pp;
2642    __iter_pointer __result = __end_node();
2643    __node_pointer __rt = __root();
2644    while (__rt != nullptr)
2645    {
2646        if (value_comp()(__k, __rt->__value_))
2647        {
2648            __result = static_cast<__iter_pointer>(__rt);
2649            __rt = static_cast<__node_pointer>(__rt->__left_);
2650        }
2651        else if (value_comp()(__rt->__value_, __k))
2652            __rt = static_cast<__node_pointer>(__rt->__right_);
2653        else
2654            return _Pp(__lower_bound(__k, static_cast<__node_pointer>(__rt->__left_), static_cast<__iter_pointer>(__rt)),
2655                      __upper_bound(__k, static_cast<__node_pointer>(__rt->__right_), __result));
2656    }
2657    return _Pp(const_iterator(__result), const_iterator(__result));
2658}
2659
2660template <class _Tp, class _Compare, class _Allocator>
2661typename __tree<_Tp, _Compare, _Allocator>::__node_holder
2662__tree<_Tp, _Compare, _Allocator>::remove(const_iterator __p) _NOEXCEPT
2663{
2664    __node_pointer __np = __p.__get_np();
2665    if (__begin_node() == __p.__ptr_)
2666    {
2667        if (__np->__right_ != nullptr)
2668            __begin_node() = static_cast<__iter_pointer>(__np->__right_);
2669        else
2670            __begin_node() = static_cast<__iter_pointer>(__np->__parent_);
2671    }
2672    --size();
2673    __tree_remove(__end_node()->__left_,
2674                  static_cast<__node_base_pointer>(__np));
2675    return __node_holder(__np, _Dp(__node_alloc(), true));
2676}
2677
2678template <class _Tp, class _Compare, class _Allocator>
2679inline _LIBCPP_INLINE_VISIBILITY
2680void
2681swap(__tree<_Tp, _Compare, _Allocator>& __x,
2682     __tree<_Tp, _Compare, _Allocator>& __y)
2683    _NOEXCEPT_(_NOEXCEPT_(__x.swap(__y)))
2684{
2685    __x.swap(__y);
2686}
2687
2688_LIBCPP_END_NAMESPACE_STD
2689
2690_LIBCPP_POP_MACROS
2691
2692#endif  // _LIBCPP___TREE
2693