xref: /freebsd/contrib/llvm-project/libcxx/include/__tree (revision 0b57cec536236d46e3dba9bd041533462f33dbb7)
1// -*- C++ -*-
2//===----------------------------------------------------------------------===//
3//
4// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
5// See https://llvm.org/LICENSE.txt for license information.
6// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
7//
8//===----------------------------------------------------------------------===//
9
10#ifndef _LIBCPP___TREE
11#define _LIBCPP___TREE
12
13#include <__config>
14#include <iterator>
15#include <memory>
16#include <stdexcept>
17#include <algorithm>
18
19#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
20#pragma GCC system_header
21#endif
22
23_LIBCPP_PUSH_MACROS
24#include <__undef_macros>
25
26
27_LIBCPP_BEGIN_NAMESPACE_STD
28
29#if defined(__GNUC__) && !defined(__clang__) // gcc.gnu.org/PR37804
30template <class, class, class, class> class _LIBCPP_TEMPLATE_VIS map;
31template <class, class, class, class> class _LIBCPP_TEMPLATE_VIS multimap;
32template <class, class, class> class _LIBCPP_TEMPLATE_VIS set;
33template <class, class, class> class _LIBCPP_TEMPLATE_VIS multiset;
34#endif
35
36template <class _Tp, class _Compare, class _Allocator> class __tree;
37template <class _Tp, class _NodePtr, class _DiffType>
38    class _LIBCPP_TEMPLATE_VIS __tree_iterator;
39template <class _Tp, class _ConstNodePtr, class _DiffType>
40    class _LIBCPP_TEMPLATE_VIS __tree_const_iterator;
41
42template <class _Pointer> class __tree_end_node;
43template <class _VoidPtr> class __tree_node_base;
44template <class _Tp, class _VoidPtr> class __tree_node;
45
46template <class _Key, class _Value>
47struct __value_type;
48
49template <class _Allocator> class __map_node_destructor;
50template <class _TreeIterator> class _LIBCPP_TEMPLATE_VIS __map_iterator;
51template <class _TreeIterator> class _LIBCPP_TEMPLATE_VIS __map_const_iterator;
52
53/*
54
55_NodePtr algorithms
56
57The algorithms taking _NodePtr are red black tree algorithms.  Those
58algorithms taking a parameter named __root should assume that __root
59points to a proper red black tree (unless otherwise specified).
60
61Each algorithm herein assumes that __root->__parent_ points to a non-null
62structure which has a member __left_ which points back to __root.  No other
63member is read or written to at __root->__parent_.
64
65__root->__parent_ will be referred to below (in comments only) as end_node.
66end_node->__left_ is an externably accessible lvalue for __root, and can be
67changed by node insertion and removal (without explicit reference to end_node).
68
69All nodes (with the exception of end_node), even the node referred to as
70__root, have a non-null __parent_ field.
71
72*/
73
74// Returns:  true if __x is a left child of its parent, else false
75// Precondition:  __x != nullptr.
76template <class _NodePtr>
77inline _LIBCPP_INLINE_VISIBILITY
78bool
79__tree_is_left_child(_NodePtr __x) _NOEXCEPT
80{
81    return __x == __x->__parent_->__left_;
82}
83
84// Determines if the subtree rooted at __x is a proper red black subtree.  If
85//    __x is a proper subtree, returns the black height (null counts as 1).  If
86//    __x is an improper subtree, returns 0.
87template <class _NodePtr>
88unsigned
89__tree_sub_invariant(_NodePtr __x)
90{
91    if (__x == nullptr)
92        return 1;
93    // parent consistency checked by caller
94    // check __x->__left_ consistency
95    if (__x->__left_ != nullptr && __x->__left_->__parent_ != __x)
96        return 0;
97    // check __x->__right_ consistency
98    if (__x->__right_ != nullptr && __x->__right_->__parent_ != __x)
99        return 0;
100    // check __x->__left_ != __x->__right_ unless both are nullptr
101    if (__x->__left_ == __x->__right_ && __x->__left_ != nullptr)
102        return 0;
103    // If this is red, neither child can be red
104    if (!__x->__is_black_)
105    {
106        if (__x->__left_ && !__x->__left_->__is_black_)
107            return 0;
108        if (__x->__right_ && !__x->__right_->__is_black_)
109            return 0;
110    }
111    unsigned __h = __tree_sub_invariant(__x->__left_);
112    if (__h == 0)
113        return 0;  // invalid left subtree
114    if (__h != __tree_sub_invariant(__x->__right_))
115        return 0;  // invalid or different height right subtree
116    return __h + __x->__is_black_;  // return black height of this node
117}
118
119// Determines if the red black tree rooted at __root is a proper red black tree.
120//    __root == nullptr is a proper tree.  Returns true is __root is a proper
121//    red black tree, else returns false.
122template <class _NodePtr>
123bool
124__tree_invariant(_NodePtr __root)
125{
126    if (__root == nullptr)
127        return true;
128    // check __x->__parent_ consistency
129    if (__root->__parent_ == nullptr)
130        return false;
131    if (!__tree_is_left_child(__root))
132        return false;
133    // root must be black
134    if (!__root->__is_black_)
135        return false;
136    // do normal node checks
137    return __tree_sub_invariant(__root) != 0;
138}
139
140// Returns:  pointer to the left-most node under __x.
141// Precondition:  __x != nullptr.
142template <class _NodePtr>
143inline _LIBCPP_INLINE_VISIBILITY
144_NodePtr
145__tree_min(_NodePtr __x) _NOEXCEPT
146{
147    while (__x->__left_ != nullptr)
148        __x = __x->__left_;
149    return __x;
150}
151
152// Returns:  pointer to the right-most node under __x.
153// Precondition:  __x != nullptr.
154template <class _NodePtr>
155inline _LIBCPP_INLINE_VISIBILITY
156_NodePtr
157__tree_max(_NodePtr __x) _NOEXCEPT
158{
159    while (__x->__right_ != nullptr)
160        __x = __x->__right_;
161    return __x;
162}
163
164// Returns:  pointer to the next in-order node after __x.
165// Precondition:  __x != nullptr.
166template <class _NodePtr>
167_NodePtr
168__tree_next(_NodePtr __x) _NOEXCEPT
169{
170    if (__x->__right_ != nullptr)
171        return __tree_min(__x->__right_);
172    while (!__tree_is_left_child(__x))
173        __x = __x->__parent_unsafe();
174    return __x->__parent_unsafe();
175}
176
177template <class _EndNodePtr, class _NodePtr>
178inline _LIBCPP_INLINE_VISIBILITY
179_EndNodePtr
180__tree_next_iter(_NodePtr __x) _NOEXCEPT
181{
182    if (__x->__right_ != nullptr)
183        return static_cast<_EndNodePtr>(__tree_min(__x->__right_));
184    while (!__tree_is_left_child(__x))
185        __x = __x->__parent_unsafe();
186    return static_cast<_EndNodePtr>(__x->__parent_);
187}
188
189// Returns:  pointer to the previous in-order node before __x.
190// Precondition:  __x != nullptr.
191// Note: __x may be the end node.
192template <class _NodePtr, class _EndNodePtr>
193inline _LIBCPP_INLINE_VISIBILITY
194_NodePtr
195__tree_prev_iter(_EndNodePtr __x) _NOEXCEPT
196{
197    if (__x->__left_ != nullptr)
198        return __tree_max(__x->__left_);
199    _NodePtr __xx = static_cast<_NodePtr>(__x);
200    while (__tree_is_left_child(__xx))
201        __xx = __xx->__parent_unsafe();
202    return __xx->__parent_unsafe();
203}
204
205// Returns:  pointer to a node which has no children
206// Precondition:  __x != nullptr.
207template <class _NodePtr>
208_NodePtr
209__tree_leaf(_NodePtr __x) _NOEXCEPT
210{
211    while (true)
212    {
213        if (__x->__left_ != nullptr)
214        {
215            __x = __x->__left_;
216            continue;
217        }
218        if (__x->__right_ != nullptr)
219        {
220            __x = __x->__right_;
221            continue;
222        }
223        break;
224    }
225    return __x;
226}
227
228// Effects:  Makes __x->__right_ the subtree root with __x as its left child
229//           while preserving in-order order.
230// Precondition:  __x->__right_ != nullptr
231template <class _NodePtr>
232void
233__tree_left_rotate(_NodePtr __x) _NOEXCEPT
234{
235    _NodePtr __y = __x->__right_;
236    __x->__right_ = __y->__left_;
237    if (__x->__right_ != nullptr)
238        __x->__right_->__set_parent(__x);
239    __y->__parent_ = __x->__parent_;
240    if (__tree_is_left_child(__x))
241        __x->__parent_->__left_ = __y;
242    else
243        __x->__parent_unsafe()->__right_ = __y;
244    __y->__left_ = __x;
245    __x->__set_parent(__y);
246}
247
248// Effects:  Makes __x->__left_ the subtree root with __x as its right child
249//           while preserving in-order order.
250// Precondition:  __x->__left_ != nullptr
251template <class _NodePtr>
252void
253__tree_right_rotate(_NodePtr __x) _NOEXCEPT
254{
255    _NodePtr __y = __x->__left_;
256    __x->__left_ = __y->__right_;
257    if (__x->__left_ != nullptr)
258        __x->__left_->__set_parent(__x);
259    __y->__parent_ = __x->__parent_;
260    if (__tree_is_left_child(__x))
261        __x->__parent_->__left_ = __y;
262    else
263        __x->__parent_unsafe()->__right_ = __y;
264    __y->__right_ = __x;
265    __x->__set_parent(__y);
266}
267
268// Effects:  Rebalances __root after attaching __x to a leaf.
269// Precondition:  __root != nulptr && __x != nullptr.
270//                __x has no children.
271//                __x == __root or == a direct or indirect child of __root.
272//                If __x were to be unlinked from __root (setting __root to
273//                  nullptr if __root == __x), __tree_invariant(__root) == true.
274// Postcondition: __tree_invariant(end_node->__left_) == true.  end_node->__left_
275//                may be different than the value passed in as __root.
276template <class _NodePtr>
277void
278__tree_balance_after_insert(_NodePtr __root, _NodePtr __x) _NOEXCEPT
279{
280    __x->__is_black_ = __x == __root;
281    while (__x != __root && !__x->__parent_unsafe()->__is_black_)
282    {
283        // __x->__parent_ != __root because __x->__parent_->__is_black == false
284        if (__tree_is_left_child(__x->__parent_unsafe()))
285        {
286            _NodePtr __y = __x->__parent_unsafe()->__parent_unsafe()->__right_;
287            if (__y != nullptr && !__y->__is_black_)
288            {
289                __x = __x->__parent_unsafe();
290                __x->__is_black_ = true;
291                __x = __x->__parent_unsafe();
292                __x->__is_black_ = __x == __root;
293                __y->__is_black_ = true;
294            }
295            else
296            {
297                if (!__tree_is_left_child(__x))
298                {
299                    __x = __x->__parent_unsafe();
300                    __tree_left_rotate(__x);
301                }
302                __x = __x->__parent_unsafe();
303                __x->__is_black_ = true;
304                __x = __x->__parent_unsafe();
305                __x->__is_black_ = false;
306                __tree_right_rotate(__x);
307                break;
308            }
309        }
310        else
311        {
312            _NodePtr __y = __x->__parent_unsafe()->__parent_->__left_;
313            if (__y != nullptr && !__y->__is_black_)
314            {
315                __x = __x->__parent_unsafe();
316                __x->__is_black_ = true;
317                __x = __x->__parent_unsafe();
318                __x->__is_black_ = __x == __root;
319                __y->__is_black_ = true;
320            }
321            else
322            {
323                if (__tree_is_left_child(__x))
324                {
325                    __x = __x->__parent_unsafe();
326                    __tree_right_rotate(__x);
327                }
328                __x = __x->__parent_unsafe();
329                __x->__is_black_ = true;
330                __x = __x->__parent_unsafe();
331                __x->__is_black_ = false;
332                __tree_left_rotate(__x);
333                break;
334            }
335        }
336    }
337}
338
339// Precondition:  __root != nullptr && __z != nullptr.
340//                __tree_invariant(__root) == true.
341//                __z == __root or == a direct or indirect child of __root.
342// Effects:  unlinks __z from the tree rooted at __root, rebalancing as needed.
343// Postcondition: __tree_invariant(end_node->__left_) == true && end_node->__left_
344//                nor any of its children refer to __z.  end_node->__left_
345//                may be different than the value passed in as __root.
346template <class _NodePtr>
347void
348__tree_remove(_NodePtr __root, _NodePtr __z) _NOEXCEPT
349{
350    // __z will be removed from the tree.  Client still needs to destruct/deallocate it
351    // __y is either __z, or if __z has two children, __tree_next(__z).
352    // __y will have at most one child.
353    // __y will be the initial hole in the tree (make the hole at a leaf)
354    _NodePtr __y = (__z->__left_ == nullptr || __z->__right_ == nullptr) ?
355                    __z : __tree_next(__z);
356    // __x is __y's possibly null single child
357    _NodePtr __x = __y->__left_ != nullptr ? __y->__left_ : __y->__right_;
358    // __w is __x's possibly null uncle (will become __x's sibling)
359    _NodePtr __w = nullptr;
360    // link __x to __y's parent, and find __w
361    if (__x != nullptr)
362        __x->__parent_ = __y->__parent_;
363    if (__tree_is_left_child(__y))
364    {
365        __y->__parent_->__left_ = __x;
366        if (__y != __root)
367            __w = __y->__parent_unsafe()->__right_;
368        else
369            __root = __x;  // __w == nullptr
370    }
371    else
372    {
373        __y->__parent_unsafe()->__right_ = __x;
374        // __y can't be root if it is a right child
375        __w = __y->__parent_->__left_;
376    }
377    bool __removed_black = __y->__is_black_;
378    // If we didn't remove __z, do so now by splicing in __y for __z,
379    //    but copy __z's color.  This does not impact __x or __w.
380    if (__y != __z)
381    {
382        // __z->__left_ != nulptr but __z->__right_ might == __x == nullptr
383        __y->__parent_ = __z->__parent_;
384        if (__tree_is_left_child(__z))
385            __y->__parent_->__left_ = __y;
386        else
387            __y->__parent_unsafe()->__right_ = __y;
388        __y->__left_ = __z->__left_;
389        __y->__left_->__set_parent(__y);
390        __y->__right_ = __z->__right_;
391        if (__y->__right_ != nullptr)
392            __y->__right_->__set_parent(__y);
393        __y->__is_black_ = __z->__is_black_;
394        if (__root == __z)
395            __root = __y;
396    }
397    // There is no need to rebalance if we removed a red, or if we removed
398    //     the last node.
399    if (__removed_black && __root != nullptr)
400    {
401        // Rebalance:
402        // __x has an implicit black color (transferred from the removed __y)
403        //    associated with it, no matter what its color is.
404        // If __x is __root (in which case it can't be null), it is supposed
405        //    to be black anyway, and if it is doubly black, then the double
406        //    can just be ignored.
407        // If __x is red (in which case it can't be null), then it can absorb
408        //    the implicit black just by setting its color to black.
409        // Since __y was black and only had one child (which __x points to), __x
410        //   is either red with no children, else null, otherwise __y would have
411        //   different black heights under left and right pointers.
412        // if (__x == __root || __x != nullptr && !__x->__is_black_)
413        if (__x != nullptr)
414            __x->__is_black_ = true;
415        else
416        {
417            //  Else __x isn't root, and is "doubly black", even though it may
418            //     be null.  __w can not be null here, else the parent would
419            //     see a black height >= 2 on the __x side and a black height
420            //     of 1 on the __w side (__w must be a non-null black or a red
421            //     with a non-null black child).
422            while (true)
423            {
424                if (!__tree_is_left_child(__w))  // if x is left child
425                {
426                    if (!__w->__is_black_)
427                    {
428                        __w->__is_black_ = true;
429                        __w->__parent_unsafe()->__is_black_ = false;
430                        __tree_left_rotate(__w->__parent_unsafe());
431                        // __x is still valid
432                        // reset __root only if necessary
433                        if (__root == __w->__left_)
434                            __root = __w;
435                        // reset sibling, and it still can't be null
436                        __w = __w->__left_->__right_;
437                    }
438                    // __w->__is_black_ is now true, __w may have null children
439                    if ((__w->__left_  == nullptr || __w->__left_->__is_black_) &&
440                        (__w->__right_ == nullptr || __w->__right_->__is_black_))
441                    {
442                        __w->__is_black_ = false;
443                        __x = __w->__parent_unsafe();
444                        // __x can no longer be null
445                        if (__x == __root || !__x->__is_black_)
446                        {
447                            __x->__is_black_ = true;
448                            break;
449                        }
450                        // reset sibling, and it still can't be null
451                        __w = __tree_is_left_child(__x) ?
452                                    __x->__parent_unsafe()->__right_ :
453                                    __x->__parent_->__left_;
454                        // continue;
455                    }
456                    else  // __w has a red child
457                    {
458                        if (__w->__right_ == nullptr || __w->__right_->__is_black_)
459                        {
460                            // __w left child is non-null and red
461                            __w->__left_->__is_black_ = true;
462                            __w->__is_black_ = false;
463                            __tree_right_rotate(__w);
464                            // __w is known not to be root, so root hasn't changed
465                            // reset sibling, and it still can't be null
466                            __w = __w->__parent_unsafe();
467                        }
468                        // __w has a right red child, left child may be null
469                        __w->__is_black_ = __w->__parent_unsafe()->__is_black_;
470                        __w->__parent_unsafe()->__is_black_ = true;
471                        __w->__right_->__is_black_ = true;
472                        __tree_left_rotate(__w->__parent_unsafe());
473                        break;
474                    }
475                }
476                else
477                {
478                    if (!__w->__is_black_)
479                    {
480                        __w->__is_black_ = true;
481                        __w->__parent_unsafe()->__is_black_ = false;
482                        __tree_right_rotate(__w->__parent_unsafe());
483                        // __x is still valid
484                        // reset __root only if necessary
485                        if (__root == __w->__right_)
486                            __root = __w;
487                        // reset sibling, and it still can't be null
488                        __w = __w->__right_->__left_;
489                    }
490                    // __w->__is_black_ is now true, __w may have null children
491                    if ((__w->__left_  == nullptr || __w->__left_->__is_black_) &&
492                        (__w->__right_ == nullptr || __w->__right_->__is_black_))
493                    {
494                        __w->__is_black_ = false;
495                        __x = __w->__parent_unsafe();
496                        // __x can no longer be null
497                        if (!__x->__is_black_ || __x == __root)
498                        {
499                            __x->__is_black_ = true;
500                            break;
501                        }
502                        // reset sibling, and it still can't be null
503                        __w = __tree_is_left_child(__x) ?
504                                    __x->__parent_unsafe()->__right_ :
505                                    __x->__parent_->__left_;
506                        // continue;
507                    }
508                    else  // __w has a red child
509                    {
510                        if (__w->__left_ == nullptr || __w->__left_->__is_black_)
511                        {
512                            // __w right child is non-null and red
513                            __w->__right_->__is_black_ = true;
514                            __w->__is_black_ = false;
515                            __tree_left_rotate(__w);
516                            // __w is known not to be root, so root hasn't changed
517                            // reset sibling, and it still can't be null
518                            __w = __w->__parent_unsafe();
519                        }
520                        // __w has a left red child, right child may be null
521                        __w->__is_black_ = __w->__parent_unsafe()->__is_black_;
522                        __w->__parent_unsafe()->__is_black_ = true;
523                        __w->__left_->__is_black_ = true;
524                        __tree_right_rotate(__w->__parent_unsafe());
525                        break;
526                    }
527                }
528            }
529        }
530    }
531}
532
533// node traits
534
535
536#ifndef _LIBCPP_CXX03_LANG
537template <class _Tp>
538struct __is_tree_value_type_imp : false_type {};
539
540template <class _Key, class _Value>
541struct __is_tree_value_type_imp<__value_type<_Key, _Value>> : true_type {};
542
543template <class ..._Args>
544struct __is_tree_value_type : false_type {};
545
546template <class _One>
547struct __is_tree_value_type<_One> : __is_tree_value_type_imp<typename __uncvref<_One>::type> {};
548#endif
549
550template <class _Tp>
551struct __tree_key_value_types {
552  typedef _Tp key_type;
553  typedef _Tp __node_value_type;
554  typedef _Tp __container_value_type;
555  static const bool __is_map = false;
556
557  _LIBCPP_INLINE_VISIBILITY
558  static key_type const& __get_key(_Tp const& __v) {
559    return __v;
560  }
561  _LIBCPP_INLINE_VISIBILITY
562  static __container_value_type const& __get_value(__node_value_type const& __v) {
563    return __v;
564  }
565  _LIBCPP_INLINE_VISIBILITY
566  static __container_value_type* __get_ptr(__node_value_type& __n) {
567    return _VSTD::addressof(__n);
568  }
569#ifndef _LIBCPP_CXX03_LANG
570  _LIBCPP_INLINE_VISIBILITY
571  static __container_value_type&& __move(__node_value_type& __v) {
572    return _VSTD::move(__v);
573  }
574#endif
575};
576
577template <class _Key, class _Tp>
578struct __tree_key_value_types<__value_type<_Key, _Tp> > {
579  typedef _Key                                         key_type;
580  typedef _Tp                                          mapped_type;
581  typedef __value_type<_Key, _Tp>                      __node_value_type;
582  typedef pair<const _Key, _Tp>                        __container_value_type;
583  typedef __container_value_type                       __map_value_type;
584  static const bool __is_map = true;
585
586  _LIBCPP_INLINE_VISIBILITY
587  static key_type const&
588  __get_key(__node_value_type const& __t) {
589    return __t.__get_value().first;
590  }
591
592  template <class _Up>
593  _LIBCPP_INLINE_VISIBILITY
594  static typename enable_if<__is_same_uncvref<_Up, __container_value_type>::value,
595      key_type const&>::type
596  __get_key(_Up& __t) {
597    return __t.first;
598  }
599
600  _LIBCPP_INLINE_VISIBILITY
601  static __container_value_type const&
602  __get_value(__node_value_type const& __t) {
603    return __t.__get_value();
604  }
605
606  template <class _Up>
607  _LIBCPP_INLINE_VISIBILITY
608  static typename enable_if<__is_same_uncvref<_Up, __container_value_type>::value,
609      __container_value_type const&>::type
610  __get_value(_Up& __t) {
611    return __t;
612  }
613
614  _LIBCPP_INLINE_VISIBILITY
615  static __container_value_type* __get_ptr(__node_value_type& __n) {
616    return _VSTD::addressof(__n.__get_value());
617  }
618
619#ifndef _LIBCPP_CXX03_LANG
620  _LIBCPP_INLINE_VISIBILITY
621  static pair<key_type&&, mapped_type&&> __move(__node_value_type& __v) {
622    return __v.__move();
623  }
624#endif
625};
626
627template <class _VoidPtr>
628struct __tree_node_base_types {
629  typedef _VoidPtr                                               __void_pointer;
630
631  typedef __tree_node_base<__void_pointer>                      __node_base_type;
632  typedef typename __rebind_pointer<_VoidPtr, __node_base_type>::type
633                                                             __node_base_pointer;
634
635  typedef __tree_end_node<__node_base_pointer>                  __end_node_type;
636  typedef typename __rebind_pointer<_VoidPtr, __end_node_type>::type
637                                                             __end_node_pointer;
638#if defined(_LIBCPP_ABI_TREE_REMOVE_NODE_POINTER_UB)
639  typedef __end_node_pointer __parent_pointer;
640#else
641  typedef typename conditional<
642      is_pointer<__end_node_pointer>::value,
643        __end_node_pointer,
644        __node_base_pointer>::type __parent_pointer;
645#endif
646
647private:
648  static_assert((is_same<typename pointer_traits<_VoidPtr>::element_type, void>::value),
649                  "_VoidPtr does not point to unqualified void type");
650};
651
652template <class _Tp, class _AllocPtr, class _KVTypes = __tree_key_value_types<_Tp>,
653         bool = _KVTypes::__is_map>
654struct __tree_map_pointer_types {};
655
656template <class _Tp, class _AllocPtr, class _KVTypes>
657struct __tree_map_pointer_types<_Tp, _AllocPtr, _KVTypes, true> {
658  typedef typename _KVTypes::__map_value_type   _Mv;
659  typedef typename __rebind_pointer<_AllocPtr, _Mv>::type
660                                                       __map_value_type_pointer;
661  typedef typename __rebind_pointer<_AllocPtr, const _Mv>::type
662                                                 __const_map_value_type_pointer;
663};
664
665template <class _NodePtr, class _NodeT = typename pointer_traits<_NodePtr>::element_type>
666struct __tree_node_types;
667
668template <class _NodePtr, class _Tp, class _VoidPtr>
669struct __tree_node_types<_NodePtr, __tree_node<_Tp, _VoidPtr> >
670    : public __tree_node_base_types<_VoidPtr>,
671             __tree_key_value_types<_Tp>,
672             __tree_map_pointer_types<_Tp, _VoidPtr>
673{
674  typedef __tree_node_base_types<_VoidPtr> __base;
675  typedef __tree_key_value_types<_Tp>      __key_base;
676  typedef __tree_map_pointer_types<_Tp, _VoidPtr> __map_pointer_base;
677public:
678
679  typedef typename pointer_traits<_NodePtr>::element_type       __node_type;
680  typedef _NodePtr                                              __node_pointer;
681
682  typedef _Tp                                                 __node_value_type;
683  typedef typename __rebind_pointer<_VoidPtr, __node_value_type>::type
684                                                      __node_value_type_pointer;
685  typedef typename __rebind_pointer<_VoidPtr, const __node_value_type>::type
686                                                __const_node_value_type_pointer;
687#if defined(_LIBCPP_ABI_TREE_REMOVE_NODE_POINTER_UB)
688  typedef typename __base::__end_node_pointer __iter_pointer;
689#else
690  typedef typename conditional<
691      is_pointer<__node_pointer>::value,
692        typename __base::__end_node_pointer,
693        __node_pointer>::type __iter_pointer;
694#endif
695private:
696    static_assert(!is_const<__node_type>::value,
697                "_NodePtr should never be a pointer to const");
698    static_assert((is_same<typename __rebind_pointer<_VoidPtr, __node_type>::type,
699                          _NodePtr>::value), "_VoidPtr does not rebind to _NodePtr.");
700};
701
702template <class _ValueTp, class _VoidPtr>
703struct __make_tree_node_types {
704  typedef typename __rebind_pointer<_VoidPtr, __tree_node<_ValueTp, _VoidPtr> >::type
705                                                                        _NodePtr;
706  typedef __tree_node_types<_NodePtr> type;
707};
708
709// node
710
711template <class _Pointer>
712class __tree_end_node
713{
714public:
715    typedef _Pointer pointer;
716    pointer __left_;
717
718    _LIBCPP_INLINE_VISIBILITY
719    __tree_end_node() _NOEXCEPT : __left_() {}
720};
721
722template <class _VoidPtr>
723class __tree_node_base
724    : public __tree_node_base_types<_VoidPtr>::__end_node_type
725{
726    typedef __tree_node_base_types<_VoidPtr> _NodeBaseTypes;
727
728public:
729    typedef typename _NodeBaseTypes::__node_base_pointer pointer;
730    typedef typename _NodeBaseTypes::__parent_pointer __parent_pointer;
731
732    pointer          __right_;
733    __parent_pointer __parent_;
734    bool __is_black_;
735
736    _LIBCPP_INLINE_VISIBILITY
737    pointer __parent_unsafe() const { return static_cast<pointer>(__parent_);}
738
739    _LIBCPP_INLINE_VISIBILITY
740    void __set_parent(pointer __p) {
741        __parent_ = static_cast<__parent_pointer>(__p);
742    }
743
744private:
745  ~__tree_node_base() _LIBCPP_EQUAL_DELETE;
746  __tree_node_base(__tree_node_base const&) _LIBCPP_EQUAL_DELETE;
747  __tree_node_base& operator=(__tree_node_base const&) _LIBCPP_EQUAL_DELETE;
748};
749
750template <class _Tp, class _VoidPtr>
751class __tree_node
752    : public __tree_node_base<_VoidPtr>
753{
754public:
755    typedef _Tp __node_value_type;
756
757    __node_value_type __value_;
758
759private:
760  ~__tree_node() _LIBCPP_EQUAL_DELETE;
761  __tree_node(__tree_node const&) _LIBCPP_EQUAL_DELETE;
762  __tree_node& operator=(__tree_node const&) _LIBCPP_EQUAL_DELETE;
763};
764
765
766template <class _Allocator>
767class __tree_node_destructor
768{
769    typedef _Allocator                                      allocator_type;
770    typedef allocator_traits<allocator_type>                __alloc_traits;
771
772public:
773    typedef typename __alloc_traits::pointer                pointer;
774private:
775    typedef __tree_node_types<pointer> _NodeTypes;
776    allocator_type& __na_;
777
778    __tree_node_destructor& operator=(const __tree_node_destructor&);
779
780public:
781    bool __value_constructed;
782
783    _LIBCPP_INLINE_VISIBILITY
784    explicit __tree_node_destructor(allocator_type& __na, bool __val = false) _NOEXCEPT
785        : __na_(__na),
786          __value_constructed(__val)
787        {}
788
789    _LIBCPP_INLINE_VISIBILITY
790    void operator()(pointer __p) _NOEXCEPT
791    {
792        if (__value_constructed)
793            __alloc_traits::destroy(__na_, _NodeTypes::__get_ptr(__p->__value_));
794        if (__p)
795            __alloc_traits::deallocate(__na_, __p, 1);
796    }
797
798    template <class> friend class __map_node_destructor;
799};
800
801#if _LIBCPP_STD_VER > 14
802template <class _NodeType, class _Alloc>
803struct __generic_container_node_destructor;
804template <class _Tp, class _VoidPtr, class _Alloc>
805struct __generic_container_node_destructor<__tree_node<_Tp, _VoidPtr>, _Alloc>
806    : __tree_node_destructor<_Alloc>
807{
808    using __tree_node_destructor<_Alloc>::__tree_node_destructor;
809};
810#endif
811
812template <class _Tp, class _NodePtr, class _DiffType>
813class _LIBCPP_TEMPLATE_VIS __tree_iterator
814{
815    typedef __tree_node_types<_NodePtr>                     _NodeTypes;
816    typedef _NodePtr                                        __node_pointer;
817    typedef typename _NodeTypes::__node_base_pointer        __node_base_pointer;
818    typedef typename _NodeTypes::__end_node_pointer         __end_node_pointer;
819    typedef typename _NodeTypes::__iter_pointer             __iter_pointer;
820    typedef pointer_traits<__node_pointer> __pointer_traits;
821
822    __iter_pointer __ptr_;
823
824public:
825    typedef bidirectional_iterator_tag                     iterator_category;
826    typedef _Tp                                            value_type;
827    typedef _DiffType                                      difference_type;
828    typedef value_type&                                    reference;
829    typedef typename _NodeTypes::__node_value_type_pointer pointer;
830
831    _LIBCPP_INLINE_VISIBILITY __tree_iterator() _NOEXCEPT
832#if _LIBCPP_STD_VER > 11
833    : __ptr_(nullptr)
834#endif
835    {}
836
837    _LIBCPP_INLINE_VISIBILITY reference operator*() const
838        {return __get_np()->__value_;}
839    _LIBCPP_INLINE_VISIBILITY pointer operator->() const
840        {return pointer_traits<pointer>::pointer_to(__get_np()->__value_);}
841
842    _LIBCPP_INLINE_VISIBILITY
843    __tree_iterator& operator++() {
844      __ptr_ = static_cast<__iter_pointer>(
845          __tree_next_iter<__end_node_pointer>(static_cast<__node_base_pointer>(__ptr_)));
846      return *this;
847    }
848    _LIBCPP_INLINE_VISIBILITY
849    __tree_iterator operator++(int)
850        {__tree_iterator __t(*this); ++(*this); return __t;}
851
852    _LIBCPP_INLINE_VISIBILITY
853    __tree_iterator& operator--() {
854      __ptr_ = static_cast<__iter_pointer>(__tree_prev_iter<__node_base_pointer>(
855          static_cast<__end_node_pointer>(__ptr_)));
856      return *this;
857    }
858    _LIBCPP_INLINE_VISIBILITY
859    __tree_iterator operator--(int)
860        {__tree_iterator __t(*this); --(*this); return __t;}
861
862    friend _LIBCPP_INLINE_VISIBILITY
863        bool operator==(const __tree_iterator& __x, const __tree_iterator& __y)
864        {return __x.__ptr_ == __y.__ptr_;}
865    friend _LIBCPP_INLINE_VISIBILITY
866        bool operator!=(const __tree_iterator& __x, const __tree_iterator& __y)
867        {return !(__x == __y);}
868
869private:
870    _LIBCPP_INLINE_VISIBILITY
871    explicit __tree_iterator(__node_pointer __p) _NOEXCEPT : __ptr_(__p) {}
872    _LIBCPP_INLINE_VISIBILITY
873    explicit __tree_iterator(__end_node_pointer __p) _NOEXCEPT : __ptr_(__p) {}
874    _LIBCPP_INLINE_VISIBILITY
875    __node_pointer __get_np() const { return static_cast<__node_pointer>(__ptr_); }
876    template <class, class, class> friend class __tree;
877    template <class, class, class> friend class _LIBCPP_TEMPLATE_VIS __tree_const_iterator;
878    template <class> friend class _LIBCPP_TEMPLATE_VIS __map_iterator;
879    template <class, class, class, class> friend class _LIBCPP_TEMPLATE_VIS map;
880    template <class, class, class, class> friend class _LIBCPP_TEMPLATE_VIS multimap;
881    template <class, class, class> friend class _LIBCPP_TEMPLATE_VIS set;
882    template <class, class, class> friend class _LIBCPP_TEMPLATE_VIS multiset;
883};
884
885template <class _Tp, class _NodePtr, class _DiffType>
886class _LIBCPP_TEMPLATE_VIS __tree_const_iterator
887{
888    typedef __tree_node_types<_NodePtr>                     _NodeTypes;
889    typedef typename _NodeTypes::__node_pointer             __node_pointer;
890    typedef typename _NodeTypes::__node_base_pointer        __node_base_pointer;
891    typedef typename _NodeTypes::__end_node_pointer         __end_node_pointer;
892    typedef typename _NodeTypes::__iter_pointer             __iter_pointer;
893    typedef pointer_traits<__node_pointer> __pointer_traits;
894
895    __iter_pointer __ptr_;
896
897public:
898    typedef bidirectional_iterator_tag                           iterator_category;
899    typedef _Tp                                                  value_type;
900    typedef _DiffType                                            difference_type;
901    typedef const value_type&                                    reference;
902    typedef typename _NodeTypes::__const_node_value_type_pointer pointer;
903
904    _LIBCPP_INLINE_VISIBILITY __tree_const_iterator() _NOEXCEPT
905#if _LIBCPP_STD_VER > 11
906    : __ptr_(nullptr)
907#endif
908    {}
909
910private:
911    typedef __tree_iterator<value_type, __node_pointer, difference_type>
912                                                           __non_const_iterator;
913public:
914    _LIBCPP_INLINE_VISIBILITY
915    __tree_const_iterator(__non_const_iterator __p) _NOEXCEPT
916        : __ptr_(__p.__ptr_) {}
917
918    _LIBCPP_INLINE_VISIBILITY reference operator*() const
919        {return __get_np()->__value_;}
920    _LIBCPP_INLINE_VISIBILITY pointer operator->() const
921        {return pointer_traits<pointer>::pointer_to(__get_np()->__value_);}
922
923    _LIBCPP_INLINE_VISIBILITY
924    __tree_const_iterator& operator++() {
925      __ptr_ = static_cast<__iter_pointer>(
926          __tree_next_iter<__end_node_pointer>(static_cast<__node_base_pointer>(__ptr_)));
927      return *this;
928    }
929
930    _LIBCPP_INLINE_VISIBILITY
931    __tree_const_iterator operator++(int)
932        {__tree_const_iterator __t(*this); ++(*this); return __t;}
933
934    _LIBCPP_INLINE_VISIBILITY
935    __tree_const_iterator& operator--() {
936      __ptr_ = static_cast<__iter_pointer>(__tree_prev_iter<__node_base_pointer>(
937          static_cast<__end_node_pointer>(__ptr_)));
938      return *this;
939    }
940
941    _LIBCPP_INLINE_VISIBILITY
942    __tree_const_iterator operator--(int)
943        {__tree_const_iterator __t(*this); --(*this); return __t;}
944
945    friend _LIBCPP_INLINE_VISIBILITY
946        bool operator==(const __tree_const_iterator& __x, const __tree_const_iterator& __y)
947        {return __x.__ptr_ == __y.__ptr_;}
948    friend _LIBCPP_INLINE_VISIBILITY
949        bool operator!=(const __tree_const_iterator& __x, const __tree_const_iterator& __y)
950        {return !(__x == __y);}
951
952private:
953    _LIBCPP_INLINE_VISIBILITY
954    explicit __tree_const_iterator(__node_pointer __p) _NOEXCEPT
955        : __ptr_(__p) {}
956    _LIBCPP_INLINE_VISIBILITY
957    explicit __tree_const_iterator(__end_node_pointer __p) _NOEXCEPT
958        : __ptr_(__p) {}
959    _LIBCPP_INLINE_VISIBILITY
960    __node_pointer __get_np() const { return static_cast<__node_pointer>(__ptr_); }
961
962    template <class, class, class> friend class __tree;
963    template <class, class, class, class> friend class _LIBCPP_TEMPLATE_VIS map;
964    template <class, class, class, class> friend class _LIBCPP_TEMPLATE_VIS multimap;
965    template <class, class, class> friend class _LIBCPP_TEMPLATE_VIS set;
966    template <class, class, class> friend class _LIBCPP_TEMPLATE_VIS multiset;
967    template <class> friend class _LIBCPP_TEMPLATE_VIS __map_const_iterator;
968
969};
970
971template<class _Tp, class _Compare>
972#ifndef _LIBCPP_CXX03_LANG
973    _LIBCPP_DIAGNOSE_WARNING(!std::__invokable<_Compare const&, _Tp const&, _Tp const&>::value,
974        "the specified comparator type does not provide a viable const call operator")
975#endif
976int __diagnose_non_const_comparator();
977
978template <class _Tp, class _Compare, class _Allocator>
979class __tree
980{
981public:
982    typedef _Tp                                      value_type;
983    typedef _Compare                                 value_compare;
984    typedef _Allocator                               allocator_type;
985
986private:
987    typedef allocator_traits<allocator_type>         __alloc_traits;
988    typedef typename __make_tree_node_types<value_type,
989        typename __alloc_traits::void_pointer>::type
990                                                    _NodeTypes;
991    typedef typename _NodeTypes::key_type           key_type;
992public:
993    typedef typename _NodeTypes::__node_value_type      __node_value_type;
994    typedef typename _NodeTypes::__container_value_type __container_value_type;
995
996    typedef typename __alloc_traits::pointer         pointer;
997    typedef typename __alloc_traits::const_pointer   const_pointer;
998    typedef typename __alloc_traits::size_type       size_type;
999    typedef typename __alloc_traits::difference_type difference_type;
1000
1001public:
1002    typedef typename _NodeTypes::__void_pointer        __void_pointer;
1003
1004    typedef typename _NodeTypes::__node_type           __node;
1005    typedef typename _NodeTypes::__node_pointer        __node_pointer;
1006
1007    typedef typename _NodeTypes::__node_base_type      __node_base;
1008    typedef typename _NodeTypes::__node_base_pointer   __node_base_pointer;
1009
1010    typedef typename _NodeTypes::__end_node_type       __end_node_t;
1011    typedef typename _NodeTypes::__end_node_pointer    __end_node_ptr;
1012
1013    typedef typename _NodeTypes::__parent_pointer      __parent_pointer;
1014    typedef typename _NodeTypes::__iter_pointer        __iter_pointer;
1015
1016    typedef typename __rebind_alloc_helper<__alloc_traits, __node>::type __node_allocator;
1017    typedef allocator_traits<__node_allocator>         __node_traits;
1018
1019private:
1020    // check for sane allocator pointer rebinding semantics. Rebinding the
1021    // allocator for a new pointer type should be exactly the same as rebinding
1022    // the pointer using 'pointer_traits'.
1023    static_assert((is_same<__node_pointer, typename __node_traits::pointer>::value),
1024                  "Allocator does not rebind pointers in a sane manner.");
1025    typedef typename __rebind_alloc_helper<__node_traits, __node_base>::type
1026        __node_base_allocator;
1027    typedef allocator_traits<__node_base_allocator> __node_base_traits;
1028    static_assert((is_same<__node_base_pointer, typename __node_base_traits::pointer>::value),
1029                 "Allocator does not rebind pointers in a sane manner.");
1030
1031private:
1032    __iter_pointer                                     __begin_node_;
1033    __compressed_pair<__end_node_t, __node_allocator>  __pair1_;
1034    __compressed_pair<size_type, value_compare>        __pair3_;
1035
1036public:
1037    _LIBCPP_INLINE_VISIBILITY
1038    __iter_pointer __end_node() _NOEXCEPT
1039    {
1040        return static_cast<__iter_pointer>(
1041                pointer_traits<__end_node_ptr>::pointer_to(__pair1_.first())
1042        );
1043    }
1044    _LIBCPP_INLINE_VISIBILITY
1045    __iter_pointer __end_node() const _NOEXCEPT
1046    {
1047        return static_cast<__iter_pointer>(
1048            pointer_traits<__end_node_ptr>::pointer_to(
1049                const_cast<__end_node_t&>(__pair1_.first())
1050            )
1051        );
1052    }
1053    _LIBCPP_INLINE_VISIBILITY
1054          __node_allocator& __node_alloc() _NOEXCEPT {return __pair1_.second();}
1055private:
1056    _LIBCPP_INLINE_VISIBILITY
1057    const __node_allocator& __node_alloc() const _NOEXCEPT
1058        {return __pair1_.second();}
1059    _LIBCPP_INLINE_VISIBILITY
1060          __iter_pointer& __begin_node() _NOEXCEPT {return __begin_node_;}
1061    _LIBCPP_INLINE_VISIBILITY
1062    const __iter_pointer& __begin_node() const _NOEXCEPT {return __begin_node_;}
1063public:
1064    _LIBCPP_INLINE_VISIBILITY
1065    allocator_type __alloc() const _NOEXCEPT
1066        {return allocator_type(__node_alloc());}
1067private:
1068    _LIBCPP_INLINE_VISIBILITY
1069          size_type& size() _NOEXCEPT {return __pair3_.first();}
1070public:
1071    _LIBCPP_INLINE_VISIBILITY
1072    const size_type& size() const _NOEXCEPT {return __pair3_.first();}
1073    _LIBCPP_INLINE_VISIBILITY
1074          value_compare& value_comp() _NOEXCEPT {return __pair3_.second();}
1075    _LIBCPP_INLINE_VISIBILITY
1076    const value_compare& value_comp() const _NOEXCEPT
1077        {return __pair3_.second();}
1078public:
1079
1080    _LIBCPP_INLINE_VISIBILITY
1081    __node_pointer __root() const _NOEXCEPT
1082        {return static_cast<__node_pointer>(__end_node()->__left_);}
1083
1084    __node_base_pointer* __root_ptr() const _NOEXCEPT {
1085        return _VSTD::addressof(__end_node()->__left_);
1086    }
1087
1088    typedef __tree_iterator<value_type, __node_pointer, difference_type>             iterator;
1089    typedef __tree_const_iterator<value_type, __node_pointer, difference_type> const_iterator;
1090
1091    explicit __tree(const value_compare& __comp)
1092        _NOEXCEPT_(
1093            is_nothrow_default_constructible<__node_allocator>::value &&
1094            is_nothrow_copy_constructible<value_compare>::value);
1095    explicit __tree(const allocator_type& __a);
1096    __tree(const value_compare& __comp, const allocator_type& __a);
1097    __tree(const __tree& __t);
1098    __tree& operator=(const __tree& __t);
1099    template <class _ForwardIterator>
1100        void __assign_unique(_ForwardIterator __first, _ForwardIterator __last);
1101    template <class _InputIterator>
1102        void __assign_multi(_InputIterator __first, _InputIterator __last);
1103#ifndef _LIBCPP_CXX03_LANG
1104    __tree(__tree&& __t)
1105        _NOEXCEPT_(
1106            is_nothrow_move_constructible<__node_allocator>::value &&
1107            is_nothrow_move_constructible<value_compare>::value);
1108    __tree(__tree&& __t, const allocator_type& __a);
1109    __tree& operator=(__tree&& __t)
1110        _NOEXCEPT_(
1111            __node_traits::propagate_on_container_move_assignment::value &&
1112            is_nothrow_move_assignable<value_compare>::value &&
1113            is_nothrow_move_assignable<__node_allocator>::value);
1114#endif // _LIBCPP_CXX03_LANG
1115
1116    ~__tree();
1117
1118    _LIBCPP_INLINE_VISIBILITY
1119          iterator begin()  _NOEXCEPT {return       iterator(__begin_node());}
1120    _LIBCPP_INLINE_VISIBILITY
1121    const_iterator begin() const _NOEXCEPT {return const_iterator(__begin_node());}
1122    _LIBCPP_INLINE_VISIBILITY
1123          iterator end() _NOEXCEPT {return       iterator(__end_node());}
1124    _LIBCPP_INLINE_VISIBILITY
1125    const_iterator end() const _NOEXCEPT {return const_iterator(__end_node());}
1126
1127    _LIBCPP_INLINE_VISIBILITY
1128    size_type max_size() const _NOEXCEPT
1129        {return std::min<size_type>(
1130                __node_traits::max_size(__node_alloc()),
1131                numeric_limits<difference_type >::max());}
1132
1133    void clear() _NOEXCEPT;
1134
1135    void swap(__tree& __t)
1136#if _LIBCPP_STD_VER <= 11
1137        _NOEXCEPT_(
1138            __is_nothrow_swappable<value_compare>::value
1139            && (!__node_traits::propagate_on_container_swap::value ||
1140                 __is_nothrow_swappable<__node_allocator>::value)
1141            );
1142#else
1143        _NOEXCEPT_(__is_nothrow_swappable<value_compare>::value);
1144#endif
1145
1146#ifndef _LIBCPP_CXX03_LANG
1147    template <class _Key, class ..._Args>
1148    pair<iterator, bool>
1149    __emplace_unique_key_args(_Key const&, _Args&&... __args);
1150    template <class _Key, class ..._Args>
1151    iterator
1152    __emplace_hint_unique_key_args(const_iterator, _Key const&, _Args&&...);
1153
1154    template <class... _Args>
1155    pair<iterator, bool> __emplace_unique_impl(_Args&&... __args);
1156
1157    template <class... _Args>
1158    iterator __emplace_hint_unique_impl(const_iterator __p, _Args&&... __args);
1159
1160    template <class... _Args>
1161    iterator __emplace_multi(_Args&&... __args);
1162
1163    template <class... _Args>
1164    iterator __emplace_hint_multi(const_iterator __p, _Args&&... __args);
1165
1166    template <class _Pp>
1167    _LIBCPP_INLINE_VISIBILITY
1168    pair<iterator, bool> __emplace_unique(_Pp&& __x) {
1169        return __emplace_unique_extract_key(_VSTD::forward<_Pp>(__x),
1170                                            __can_extract_key<_Pp, key_type>());
1171    }
1172
1173    template <class _First, class _Second>
1174    _LIBCPP_INLINE_VISIBILITY
1175    typename enable_if<
1176        __can_extract_map_key<_First, key_type, __container_value_type>::value,
1177        pair<iterator, bool>
1178    >::type __emplace_unique(_First&& __f, _Second&& __s) {
1179        return __emplace_unique_key_args(__f, _VSTD::forward<_First>(__f),
1180                                              _VSTD::forward<_Second>(__s));
1181    }
1182
1183    template <class... _Args>
1184    _LIBCPP_INLINE_VISIBILITY
1185    pair<iterator, bool> __emplace_unique(_Args&&... __args) {
1186        return __emplace_unique_impl(_VSTD::forward<_Args>(__args)...);
1187    }
1188
1189    template <class _Pp>
1190    _LIBCPP_INLINE_VISIBILITY
1191    pair<iterator, bool>
1192    __emplace_unique_extract_key(_Pp&& __x, __extract_key_fail_tag) {
1193      return __emplace_unique_impl(_VSTD::forward<_Pp>(__x));
1194    }
1195
1196    template <class _Pp>
1197    _LIBCPP_INLINE_VISIBILITY
1198    pair<iterator, bool>
1199    __emplace_unique_extract_key(_Pp&& __x, __extract_key_self_tag) {
1200      return __emplace_unique_key_args(__x, _VSTD::forward<_Pp>(__x));
1201    }
1202
1203    template <class _Pp>
1204    _LIBCPP_INLINE_VISIBILITY
1205    pair<iterator, bool>
1206    __emplace_unique_extract_key(_Pp&& __x, __extract_key_first_tag) {
1207      return __emplace_unique_key_args(__x.first, _VSTD::forward<_Pp>(__x));
1208    }
1209
1210    template <class _Pp>
1211    _LIBCPP_INLINE_VISIBILITY
1212    iterator __emplace_hint_unique(const_iterator __p, _Pp&& __x) {
1213        return __emplace_hint_unique_extract_key(__p, _VSTD::forward<_Pp>(__x),
1214                                            __can_extract_key<_Pp, key_type>());
1215    }
1216
1217    template <class _First, class _Second>
1218    _LIBCPP_INLINE_VISIBILITY
1219    typename enable_if<
1220        __can_extract_map_key<_First, key_type, __container_value_type>::value,
1221        iterator
1222    >::type __emplace_hint_unique(const_iterator __p, _First&& __f, _Second&& __s) {
1223        return __emplace_hint_unique_key_args(__p, __f,
1224                                              _VSTD::forward<_First>(__f),
1225                                              _VSTD::forward<_Second>(__s));
1226    }
1227
1228    template <class... _Args>
1229    _LIBCPP_INLINE_VISIBILITY
1230    iterator __emplace_hint_unique(const_iterator __p, _Args&&... __args) {
1231        return __emplace_hint_unique_impl(__p, _VSTD::forward<_Args>(__args)...);
1232    }
1233
1234    template <class _Pp>
1235    _LIBCPP_INLINE_VISIBILITY
1236    iterator
1237    __emplace_hint_unique_extract_key(const_iterator __p, _Pp&& __x, __extract_key_fail_tag) {
1238      return __emplace_hint_unique_impl(__p, _VSTD::forward<_Pp>(__x));
1239    }
1240
1241    template <class _Pp>
1242    _LIBCPP_INLINE_VISIBILITY
1243    iterator
1244    __emplace_hint_unique_extract_key(const_iterator __p, _Pp&& __x, __extract_key_self_tag) {
1245      return __emplace_hint_unique_key_args(__p, __x, _VSTD::forward<_Pp>(__x));
1246    }
1247
1248    template <class _Pp>
1249    _LIBCPP_INLINE_VISIBILITY
1250    iterator
1251    __emplace_hint_unique_extract_key(const_iterator __p, _Pp&& __x, __extract_key_first_tag) {
1252      return __emplace_hint_unique_key_args(__p, __x.first, _VSTD::forward<_Pp>(__x));
1253    }
1254
1255#else
1256    template <class _Key, class _Args>
1257    _LIBCPP_INLINE_VISIBILITY
1258    pair<iterator, bool> __emplace_unique_key_args(_Key const&, _Args& __args);
1259    template <class _Key, class _Args>
1260    _LIBCPP_INLINE_VISIBILITY
1261    iterator __emplace_hint_unique_key_args(const_iterator, _Key const&, _Args&);
1262#endif
1263
1264    _LIBCPP_INLINE_VISIBILITY
1265    pair<iterator, bool> __insert_unique(const __container_value_type& __v) {
1266        return __emplace_unique_key_args(_NodeTypes::__get_key(__v), __v);
1267    }
1268
1269    _LIBCPP_INLINE_VISIBILITY
1270    iterator __insert_unique(const_iterator __p, const __container_value_type& __v) {
1271        return __emplace_hint_unique_key_args(__p, _NodeTypes::__get_key(__v), __v);
1272    }
1273
1274#ifdef _LIBCPP_CXX03_LANG
1275    _LIBCPP_INLINE_VISIBILITY
1276    iterator __insert_multi(const __container_value_type& __v);
1277    _LIBCPP_INLINE_VISIBILITY
1278    iterator __insert_multi(const_iterator __p, const __container_value_type& __v);
1279#else
1280    _LIBCPP_INLINE_VISIBILITY
1281    pair<iterator, bool> __insert_unique(__container_value_type&& __v) {
1282        return __emplace_unique_key_args(_NodeTypes::__get_key(__v), _VSTD::move(__v));
1283    }
1284
1285    _LIBCPP_INLINE_VISIBILITY
1286    iterator __insert_unique(const_iterator __p, __container_value_type&& __v) {
1287        return __emplace_hint_unique_key_args(__p, _NodeTypes::__get_key(__v), _VSTD::move(__v));
1288    }
1289
1290    template <class _Vp, class = typename enable_if<
1291            !is_same<typename __unconstref<_Vp>::type,
1292                     __container_value_type
1293            >::value
1294        >::type>
1295    _LIBCPP_INLINE_VISIBILITY
1296    pair<iterator, bool> __insert_unique(_Vp&& __v) {
1297        return __emplace_unique(_VSTD::forward<_Vp>(__v));
1298    }
1299
1300    template <class _Vp, class = typename enable_if<
1301            !is_same<typename __unconstref<_Vp>::type,
1302                     __container_value_type
1303            >::value
1304        >::type>
1305    _LIBCPP_INLINE_VISIBILITY
1306    iterator __insert_unique(const_iterator __p, _Vp&& __v) {
1307        return __emplace_hint_unique(__p, _VSTD::forward<_Vp>(__v));
1308    }
1309
1310    _LIBCPP_INLINE_VISIBILITY
1311    iterator __insert_multi(__container_value_type&& __v) {
1312        return __emplace_multi(_VSTD::move(__v));
1313    }
1314
1315    _LIBCPP_INLINE_VISIBILITY
1316    iterator __insert_multi(const_iterator __p, __container_value_type&& __v) {
1317        return __emplace_hint_multi(__p, _VSTD::move(__v));
1318    }
1319
1320    template <class _Vp>
1321    _LIBCPP_INLINE_VISIBILITY
1322    iterator __insert_multi(_Vp&& __v) {
1323        return __emplace_multi(_VSTD::forward<_Vp>(__v));
1324    }
1325
1326    template <class _Vp>
1327    _LIBCPP_INLINE_VISIBILITY
1328    iterator __insert_multi(const_iterator __p, _Vp&& __v) {
1329        return __emplace_hint_multi(__p, _VSTD::forward<_Vp>(__v));
1330    }
1331
1332#endif // !_LIBCPP_CXX03_LANG
1333
1334    _LIBCPP_INLINE_VISIBILITY
1335    pair<iterator, bool> __node_assign_unique(const __container_value_type& __v, __node_pointer __dest);
1336
1337    _LIBCPP_INLINE_VISIBILITY
1338    iterator __node_insert_multi(__node_pointer __nd);
1339    _LIBCPP_INLINE_VISIBILITY
1340    iterator __node_insert_multi(const_iterator __p, __node_pointer __nd);
1341
1342
1343    _LIBCPP_INLINE_VISIBILITY iterator
1344    __remove_node_pointer(__node_pointer) _NOEXCEPT;
1345
1346#if _LIBCPP_STD_VER > 14
1347    template <class _NodeHandle, class _InsertReturnType>
1348    _LIBCPP_INLINE_VISIBILITY
1349    _InsertReturnType __node_handle_insert_unique(_NodeHandle&&);
1350    template <class _NodeHandle>
1351    _LIBCPP_INLINE_VISIBILITY
1352    iterator __node_handle_insert_unique(const_iterator, _NodeHandle&&);
1353    template <class _Tree>
1354    _LIBCPP_INLINE_VISIBILITY
1355    void __node_handle_merge_unique(_Tree& __source);
1356
1357    template <class _NodeHandle>
1358    _LIBCPP_INLINE_VISIBILITY
1359    iterator __node_handle_insert_multi(_NodeHandle&&);
1360    template <class _NodeHandle>
1361    _LIBCPP_INLINE_VISIBILITY
1362    iterator __node_handle_insert_multi(const_iterator, _NodeHandle&&);
1363    template <class _Tree>
1364    _LIBCPP_INLINE_VISIBILITY
1365    void __node_handle_merge_multi(_Tree& __source);
1366
1367
1368    template <class _NodeHandle>
1369    _LIBCPP_INLINE_VISIBILITY
1370    _NodeHandle __node_handle_extract(key_type const&);
1371    template <class _NodeHandle>
1372    _LIBCPP_INLINE_VISIBILITY
1373    _NodeHandle __node_handle_extract(const_iterator);
1374#endif
1375
1376    iterator erase(const_iterator __p);
1377    iterator erase(const_iterator __f, const_iterator __l);
1378    template <class _Key>
1379        size_type __erase_unique(const _Key& __k);
1380    template <class _Key>
1381        size_type __erase_multi(const _Key& __k);
1382
1383    void __insert_node_at(__parent_pointer     __parent,
1384                          __node_base_pointer& __child,
1385                          __node_base_pointer __new_node) _NOEXCEPT;
1386
1387    template <class _Key>
1388        iterator find(const _Key& __v);
1389    template <class _Key>
1390        const_iterator find(const _Key& __v) const;
1391
1392    template <class _Key>
1393        size_type __count_unique(const _Key& __k) const;
1394    template <class _Key>
1395        size_type __count_multi(const _Key& __k) const;
1396
1397    template <class _Key>
1398        _LIBCPP_INLINE_VISIBILITY
1399        iterator lower_bound(const _Key& __v)
1400            {return __lower_bound(__v, __root(), __end_node());}
1401    template <class _Key>
1402        iterator __lower_bound(const _Key& __v,
1403                               __node_pointer __root,
1404                               __iter_pointer __result);
1405    template <class _Key>
1406        _LIBCPP_INLINE_VISIBILITY
1407        const_iterator lower_bound(const _Key& __v) const
1408            {return __lower_bound(__v, __root(), __end_node());}
1409    template <class _Key>
1410        const_iterator __lower_bound(const _Key& __v,
1411                                     __node_pointer __root,
1412                                     __iter_pointer __result) const;
1413    template <class _Key>
1414        _LIBCPP_INLINE_VISIBILITY
1415        iterator upper_bound(const _Key& __v)
1416            {return __upper_bound(__v, __root(), __end_node());}
1417    template <class _Key>
1418        iterator __upper_bound(const _Key& __v,
1419                               __node_pointer __root,
1420                               __iter_pointer __result);
1421    template <class _Key>
1422        _LIBCPP_INLINE_VISIBILITY
1423        const_iterator upper_bound(const _Key& __v) const
1424            {return __upper_bound(__v, __root(), __end_node());}
1425    template <class _Key>
1426        const_iterator __upper_bound(const _Key& __v,
1427                                     __node_pointer __root,
1428                                     __iter_pointer __result) const;
1429    template <class _Key>
1430        pair<iterator, iterator>
1431        __equal_range_unique(const _Key& __k);
1432    template <class _Key>
1433        pair<const_iterator, const_iterator>
1434        __equal_range_unique(const _Key& __k) const;
1435
1436    template <class _Key>
1437        pair<iterator, iterator>
1438        __equal_range_multi(const _Key& __k);
1439    template <class _Key>
1440        pair<const_iterator, const_iterator>
1441        __equal_range_multi(const _Key& __k) const;
1442
1443    typedef __tree_node_destructor<__node_allocator> _Dp;
1444    typedef unique_ptr<__node, _Dp> __node_holder;
1445
1446    __node_holder remove(const_iterator __p) _NOEXCEPT;
1447private:
1448    __node_base_pointer&
1449        __find_leaf_low(__parent_pointer& __parent, const key_type& __v);
1450    __node_base_pointer&
1451        __find_leaf_high(__parent_pointer& __parent, const key_type& __v);
1452    __node_base_pointer&
1453        __find_leaf(const_iterator __hint,
1454                    __parent_pointer& __parent, const key_type& __v);
1455    // FIXME: Make this function const qualified. Unfortunetly doing so
1456    // breaks existing code which uses non-const callable comparators.
1457    template <class _Key>
1458    __node_base_pointer&
1459        __find_equal(__parent_pointer& __parent, const _Key& __v);
1460    template <class _Key>
1461    _LIBCPP_INLINE_VISIBILITY __node_base_pointer&
1462    __find_equal(__parent_pointer& __parent, const _Key& __v) const {
1463      return const_cast<__tree*>(this)->__find_equal(__parent, __v);
1464    }
1465    template <class _Key>
1466    __node_base_pointer&
1467        __find_equal(const_iterator __hint, __parent_pointer& __parent,
1468                     __node_base_pointer& __dummy,
1469                     const _Key& __v);
1470
1471#ifndef _LIBCPP_CXX03_LANG
1472    template <class ..._Args>
1473    __node_holder __construct_node(_Args&& ...__args);
1474#else
1475    __node_holder __construct_node(const __container_value_type& __v);
1476#endif
1477
1478    void destroy(__node_pointer __nd) _NOEXCEPT;
1479
1480    _LIBCPP_INLINE_VISIBILITY
1481    void __copy_assign_alloc(const __tree& __t)
1482        {__copy_assign_alloc(__t, integral_constant<bool,
1483             __node_traits::propagate_on_container_copy_assignment::value>());}
1484
1485    _LIBCPP_INLINE_VISIBILITY
1486    void __copy_assign_alloc(const __tree& __t, true_type)
1487        {
1488        if (__node_alloc() != __t.__node_alloc())
1489            clear();
1490        __node_alloc() = __t.__node_alloc();
1491        }
1492    _LIBCPP_INLINE_VISIBILITY
1493    void __copy_assign_alloc(const __tree&, false_type) {}
1494
1495    void __move_assign(__tree& __t, false_type);
1496    void __move_assign(__tree& __t, true_type)
1497        _NOEXCEPT_(is_nothrow_move_assignable<value_compare>::value &&
1498                   is_nothrow_move_assignable<__node_allocator>::value);
1499
1500    _LIBCPP_INLINE_VISIBILITY
1501    void __move_assign_alloc(__tree& __t)
1502        _NOEXCEPT_(
1503            !__node_traits::propagate_on_container_move_assignment::value ||
1504            is_nothrow_move_assignable<__node_allocator>::value)
1505        {__move_assign_alloc(__t, integral_constant<bool,
1506             __node_traits::propagate_on_container_move_assignment::value>());}
1507
1508    _LIBCPP_INLINE_VISIBILITY
1509    void __move_assign_alloc(__tree& __t, true_type)
1510        _NOEXCEPT_(is_nothrow_move_assignable<__node_allocator>::value)
1511        {__node_alloc() = _VSTD::move(__t.__node_alloc());}
1512    _LIBCPP_INLINE_VISIBILITY
1513    void __move_assign_alloc(__tree&, false_type) _NOEXCEPT {}
1514
1515    struct _DetachedTreeCache {
1516      _LIBCPP_INLINE_VISIBILITY
1517      explicit _DetachedTreeCache(__tree *__t) _NOEXCEPT : __t_(__t),
1518        __cache_root_(__detach_from_tree(__t)) {
1519          __advance();
1520        }
1521
1522      _LIBCPP_INLINE_VISIBILITY
1523      __node_pointer __get() const _NOEXCEPT {
1524        return __cache_elem_;
1525      }
1526
1527      _LIBCPP_INLINE_VISIBILITY
1528      void __advance() _NOEXCEPT {
1529        __cache_elem_ = __cache_root_;
1530        if (__cache_root_) {
1531          __cache_root_ = __detach_next(__cache_root_);
1532        }
1533      }
1534
1535      _LIBCPP_INLINE_VISIBILITY
1536      ~_DetachedTreeCache() {
1537        __t_->destroy(__cache_elem_);
1538        if (__cache_root_) {
1539          while (__cache_root_->__parent_ != nullptr)
1540            __cache_root_ = static_cast<__node_pointer>(__cache_root_->__parent_);
1541          __t_->destroy(__cache_root_);
1542        }
1543      }
1544
1545       _DetachedTreeCache(_DetachedTreeCache const&) = delete;
1546       _DetachedTreeCache& operator=(_DetachedTreeCache const&) = delete;
1547
1548    private:
1549      _LIBCPP_INLINE_VISIBILITY
1550      static __node_pointer __detach_from_tree(__tree *__t) _NOEXCEPT;
1551      _LIBCPP_INLINE_VISIBILITY
1552      static __node_pointer __detach_next(__node_pointer) _NOEXCEPT;
1553
1554      __tree *__t_;
1555      __node_pointer __cache_root_;
1556      __node_pointer __cache_elem_;
1557    };
1558
1559
1560    template <class, class, class, class> friend class _LIBCPP_TEMPLATE_VIS map;
1561    template <class, class, class, class> friend class _LIBCPP_TEMPLATE_VIS multimap;
1562};
1563
1564template <class _Tp, class _Compare, class _Allocator>
1565__tree<_Tp, _Compare, _Allocator>::__tree(const value_compare& __comp)
1566        _NOEXCEPT_(
1567            is_nothrow_default_constructible<__node_allocator>::value &&
1568            is_nothrow_copy_constructible<value_compare>::value)
1569    : __pair3_(0, __comp)
1570{
1571    __begin_node() = __end_node();
1572}
1573
1574template <class _Tp, class _Compare, class _Allocator>
1575__tree<_Tp, _Compare, _Allocator>::__tree(const allocator_type& __a)
1576    : __begin_node_(__iter_pointer()),
1577      __pair1_(__second_tag(), __node_allocator(__a)),
1578      __pair3_(0)
1579{
1580    __begin_node() = __end_node();
1581}
1582
1583template <class _Tp, class _Compare, class _Allocator>
1584__tree<_Tp, _Compare, _Allocator>::__tree(const value_compare& __comp,
1585                                           const allocator_type& __a)
1586    : __begin_node_(__iter_pointer()),
1587      __pair1_(__second_tag(), __node_allocator(__a)),
1588      __pair3_(0, __comp)
1589{
1590    __begin_node() = __end_node();
1591}
1592
1593// Precondition:  size() != 0
1594template <class _Tp, class _Compare, class _Allocator>
1595typename __tree<_Tp, _Compare, _Allocator>::__node_pointer
1596__tree<_Tp, _Compare, _Allocator>::_DetachedTreeCache::__detach_from_tree(__tree *__t) _NOEXCEPT
1597{
1598    __node_pointer __cache = static_cast<__node_pointer>(__t->__begin_node());
1599    __t->__begin_node() = __t->__end_node();
1600    __t->__end_node()->__left_->__parent_ = nullptr;
1601    __t->__end_node()->__left_ = nullptr;
1602    __t->size() = 0;
1603    // __cache->__left_ == nullptr
1604    if (__cache->__right_ != nullptr)
1605        __cache = static_cast<__node_pointer>(__cache->__right_);
1606    // __cache->__left_ == nullptr
1607    // __cache->__right_ == nullptr
1608    return __cache;
1609}
1610
1611// Precondition:  __cache != nullptr
1612//    __cache->left_ == nullptr
1613//    __cache->right_ == nullptr
1614//    This is no longer a red-black tree
1615template <class _Tp, class _Compare, class _Allocator>
1616typename __tree<_Tp, _Compare, _Allocator>::__node_pointer
1617__tree<_Tp, _Compare, _Allocator>::_DetachedTreeCache::__detach_next(__node_pointer __cache) _NOEXCEPT
1618{
1619    if (__cache->__parent_ == nullptr)
1620        return nullptr;
1621    if (__tree_is_left_child(static_cast<__node_base_pointer>(__cache)))
1622    {
1623        __cache->__parent_->__left_ = nullptr;
1624        __cache = static_cast<__node_pointer>(__cache->__parent_);
1625        if (__cache->__right_ == nullptr)
1626            return __cache;
1627        return static_cast<__node_pointer>(__tree_leaf(__cache->__right_));
1628    }
1629    // __cache is right child
1630    __cache->__parent_unsafe()->__right_ = nullptr;
1631    __cache = static_cast<__node_pointer>(__cache->__parent_);
1632    if (__cache->__left_ == nullptr)
1633        return __cache;
1634    return static_cast<__node_pointer>(__tree_leaf(__cache->__left_));
1635}
1636
1637template <class _Tp, class _Compare, class _Allocator>
1638__tree<_Tp, _Compare, _Allocator>&
1639__tree<_Tp, _Compare, _Allocator>::operator=(const __tree& __t)
1640{
1641    if (this != &__t)
1642    {
1643        value_comp() = __t.value_comp();
1644        __copy_assign_alloc(__t);
1645        __assign_multi(__t.begin(), __t.end());
1646    }
1647    return *this;
1648}
1649
1650template <class _Tp, class _Compare, class _Allocator>
1651template <class _ForwardIterator>
1652void
1653__tree<_Tp, _Compare, _Allocator>::__assign_unique(_ForwardIterator __first, _ForwardIterator __last)
1654{
1655    typedef iterator_traits<_ForwardIterator> _ITraits;
1656    typedef typename _ITraits::value_type _ItValueType;
1657    static_assert((is_same<_ItValueType, __container_value_type>::value),
1658                  "__assign_unique may only be called with the containers value type");
1659    static_assert(__is_forward_iterator<_ForwardIterator>::value,
1660                  "__assign_unique requires a forward iterator");
1661    if (size() != 0)
1662    {
1663        _DetachedTreeCache __cache(this);
1664          for (; __cache.__get() != nullptr && __first != __last; ++__first) {
1665              if (__node_assign_unique(*__first, __cache.__get()).second)
1666                  __cache.__advance();
1667            }
1668    }
1669    for (; __first != __last; ++__first)
1670        __insert_unique(*__first);
1671}
1672
1673template <class _Tp, class _Compare, class _Allocator>
1674template <class _InputIterator>
1675void
1676__tree<_Tp, _Compare, _Allocator>::__assign_multi(_InputIterator __first, _InputIterator __last)
1677{
1678    typedef iterator_traits<_InputIterator> _ITraits;
1679    typedef typename _ITraits::value_type _ItValueType;
1680    static_assert((is_same<_ItValueType, __container_value_type>::value ||
1681                  is_same<_ItValueType, __node_value_type>::value),
1682                  "__assign_multi may only be called with the containers value type"
1683                  " or the nodes value type");
1684    if (size() != 0)
1685    {
1686        _DetachedTreeCache __cache(this);
1687        for (; __cache.__get() && __first != __last; ++__first) {
1688            __cache.__get()->__value_ = *__first;
1689            __node_insert_multi(__cache.__get());
1690            __cache.__advance();
1691        }
1692    }
1693    for (; __first != __last; ++__first)
1694        __insert_multi(_NodeTypes::__get_value(*__first));
1695}
1696
1697template <class _Tp, class _Compare, class _Allocator>
1698__tree<_Tp, _Compare, _Allocator>::__tree(const __tree& __t)
1699    : __begin_node_(__iter_pointer()),
1700      __pair1_(__second_tag(), __node_traits::select_on_container_copy_construction(__t.__node_alloc())),
1701      __pair3_(0, __t.value_comp())
1702{
1703    __begin_node() = __end_node();
1704}
1705
1706#ifndef _LIBCPP_CXX03_LANG
1707
1708template <class _Tp, class _Compare, class _Allocator>
1709__tree<_Tp, _Compare, _Allocator>::__tree(__tree&& __t)
1710    _NOEXCEPT_(
1711        is_nothrow_move_constructible<__node_allocator>::value &&
1712        is_nothrow_move_constructible<value_compare>::value)
1713    : __begin_node_(_VSTD::move(__t.__begin_node_)),
1714      __pair1_(_VSTD::move(__t.__pair1_)),
1715      __pair3_(_VSTD::move(__t.__pair3_))
1716{
1717    if (size() == 0)
1718        __begin_node() = __end_node();
1719    else
1720    {
1721        __end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__end_node());
1722        __t.__begin_node() = __t.__end_node();
1723        __t.__end_node()->__left_ = nullptr;
1724        __t.size() = 0;
1725    }
1726}
1727
1728template <class _Tp, class _Compare, class _Allocator>
1729__tree<_Tp, _Compare, _Allocator>::__tree(__tree&& __t, const allocator_type& __a)
1730    : __pair1_(__second_tag(), __node_allocator(__a)),
1731      __pair3_(0, _VSTD::move(__t.value_comp()))
1732{
1733    if (__a == __t.__alloc())
1734    {
1735        if (__t.size() == 0)
1736            __begin_node() = __end_node();
1737        else
1738        {
1739            __begin_node() = __t.__begin_node();
1740            __end_node()->__left_ = __t.__end_node()->__left_;
1741            __end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__end_node());
1742            size() = __t.size();
1743            __t.__begin_node() = __t.__end_node();
1744            __t.__end_node()->__left_ = nullptr;
1745            __t.size() = 0;
1746        }
1747    }
1748    else
1749    {
1750        __begin_node() = __end_node();
1751    }
1752}
1753
1754template <class _Tp, class _Compare, class _Allocator>
1755void
1756__tree<_Tp, _Compare, _Allocator>::__move_assign(__tree& __t, true_type)
1757    _NOEXCEPT_(is_nothrow_move_assignable<value_compare>::value &&
1758               is_nothrow_move_assignable<__node_allocator>::value)
1759{
1760    destroy(static_cast<__node_pointer>(__end_node()->__left_));
1761    __begin_node_ = __t.__begin_node_;
1762    __pair1_.first() = __t.__pair1_.first();
1763    __move_assign_alloc(__t);
1764    __pair3_ = _VSTD::move(__t.__pair3_);
1765    if (size() == 0)
1766        __begin_node() = __end_node();
1767    else
1768    {
1769        __end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__end_node());
1770        __t.__begin_node() = __t.__end_node();
1771        __t.__end_node()->__left_ = nullptr;
1772        __t.size() = 0;
1773    }
1774}
1775
1776template <class _Tp, class _Compare, class _Allocator>
1777void
1778__tree<_Tp, _Compare, _Allocator>::__move_assign(__tree& __t, false_type)
1779{
1780    if (__node_alloc() == __t.__node_alloc())
1781        __move_assign(__t, true_type());
1782    else
1783    {
1784        value_comp() = _VSTD::move(__t.value_comp());
1785        const_iterator __e = end();
1786        if (size() != 0)
1787        {
1788            _DetachedTreeCache __cache(this);
1789            while (__cache.__get() != nullptr && __t.size() != 0) {
1790              __cache.__get()->__value_ = _VSTD::move(__t.remove(__t.begin())->__value_);
1791              __node_insert_multi(__cache.__get());
1792              __cache.__advance();
1793            }
1794        }
1795        while (__t.size() != 0)
1796            __insert_multi(__e, _NodeTypes::__move(__t.remove(__t.begin())->__value_));
1797    }
1798}
1799
1800template <class _Tp, class _Compare, class _Allocator>
1801__tree<_Tp, _Compare, _Allocator>&
1802__tree<_Tp, _Compare, _Allocator>::operator=(__tree&& __t)
1803    _NOEXCEPT_(
1804        __node_traits::propagate_on_container_move_assignment::value &&
1805        is_nothrow_move_assignable<value_compare>::value &&
1806        is_nothrow_move_assignable<__node_allocator>::value)
1807
1808{
1809    __move_assign(__t, integral_constant<bool,
1810                  __node_traits::propagate_on_container_move_assignment::value>());
1811    return *this;
1812}
1813
1814#endif  // _LIBCPP_CXX03_LANG
1815
1816template <class _Tp, class _Compare, class _Allocator>
1817__tree<_Tp, _Compare, _Allocator>::~__tree()
1818{
1819    static_assert((is_copy_constructible<value_compare>::value),
1820                 "Comparator must be copy-constructible.");
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 __tree<_Tp, _Compare, _Allocator>::__insert_node_at(
2103    __parent_pointer __parent, __node_base_pointer& __child,
2104    __node_base_pointer __new_node) _NOEXCEPT
2105{
2106    __new_node->__left_   = nullptr;
2107    __new_node->__right_  = nullptr;
2108    __new_node->__parent_ = __parent;
2109    // __new_node->__is_black_ is initialized in __tree_balance_after_insert
2110    __child = __new_node;
2111    if (__begin_node()->__left_ != nullptr)
2112        __begin_node() = static_cast<__iter_pointer>(__begin_node()->__left_);
2113    __tree_balance_after_insert(__end_node()->__left_, __child);
2114    ++size();
2115}
2116
2117#ifndef _LIBCPP_CXX03_LANG
2118template <class _Tp, class _Compare, class _Allocator>
2119template <class _Key, class... _Args>
2120pair<typename __tree<_Tp, _Compare, _Allocator>::iterator, bool>
2121__tree<_Tp, _Compare, _Allocator>::__emplace_unique_key_args(_Key const& __k, _Args&&... __args)
2122#else
2123template <class _Tp, class _Compare, class _Allocator>
2124template <class _Key, class _Args>
2125pair<typename __tree<_Tp, _Compare, _Allocator>::iterator, bool>
2126__tree<_Tp, _Compare, _Allocator>::__emplace_unique_key_args(_Key const& __k, _Args& __args)
2127#endif
2128{
2129    __parent_pointer __parent;
2130    __node_base_pointer& __child = __find_equal(__parent, __k);
2131    __node_pointer __r = static_cast<__node_pointer>(__child);
2132    bool __inserted = false;
2133    if (__child == nullptr)
2134    {
2135#ifndef _LIBCPP_CXX03_LANG
2136        __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2137#else
2138        __node_holder __h = __construct_node(__args);
2139#endif
2140        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2141        __r = __h.release();
2142        __inserted = true;
2143    }
2144    return pair<iterator, bool>(iterator(__r), __inserted);
2145}
2146
2147
2148#ifndef _LIBCPP_CXX03_LANG
2149template <class _Tp, class _Compare, class _Allocator>
2150template <class _Key, class... _Args>
2151typename __tree<_Tp, _Compare, _Allocator>::iterator
2152__tree<_Tp, _Compare, _Allocator>::__emplace_hint_unique_key_args(
2153    const_iterator __p, _Key const& __k, _Args&&... __args)
2154#else
2155template <class _Tp, class _Compare, class _Allocator>
2156template <class _Key, class _Args>
2157typename __tree<_Tp, _Compare, _Allocator>::iterator
2158__tree<_Tp, _Compare, _Allocator>::__emplace_hint_unique_key_args(
2159    const_iterator __p, _Key const& __k, _Args& __args)
2160#endif
2161{
2162    __parent_pointer __parent;
2163    __node_base_pointer __dummy;
2164    __node_base_pointer& __child = __find_equal(__p, __parent, __dummy, __k);
2165    __node_pointer __r = static_cast<__node_pointer>(__child);
2166    if (__child == nullptr)
2167    {
2168#ifndef _LIBCPP_CXX03_LANG
2169        __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2170#else
2171        __node_holder __h = __construct_node(__args);
2172#endif
2173        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2174        __r = __h.release();
2175    }
2176    return iterator(__r);
2177}
2178
2179
2180#ifndef _LIBCPP_CXX03_LANG
2181
2182template <class _Tp, class _Compare, class _Allocator>
2183template <class ..._Args>
2184typename __tree<_Tp, _Compare, _Allocator>::__node_holder
2185__tree<_Tp, _Compare, _Allocator>::__construct_node(_Args&& ...__args)
2186{
2187    static_assert(!__is_tree_value_type<_Args...>::value,
2188                  "Cannot construct from __value_type");
2189    __node_allocator& __na = __node_alloc();
2190    __node_holder __h(__node_traits::allocate(__na, 1), _Dp(__na));
2191    __node_traits::construct(__na, _NodeTypes::__get_ptr(__h->__value_), _VSTD::forward<_Args>(__args)...);
2192    __h.get_deleter().__value_constructed = true;
2193    return __h;
2194}
2195
2196
2197template <class _Tp, class _Compare, class _Allocator>
2198template <class... _Args>
2199pair<typename __tree<_Tp, _Compare, _Allocator>::iterator, bool>
2200__tree<_Tp, _Compare, _Allocator>::__emplace_unique_impl(_Args&&... __args)
2201{
2202    __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2203    __parent_pointer __parent;
2204    __node_base_pointer& __child = __find_equal(__parent, __h->__value_);
2205    __node_pointer __r = static_cast<__node_pointer>(__child);
2206    bool __inserted = false;
2207    if (__child == nullptr)
2208    {
2209        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2210        __r = __h.release();
2211        __inserted = true;
2212    }
2213    return pair<iterator, bool>(iterator(__r), __inserted);
2214}
2215
2216template <class _Tp, class _Compare, class _Allocator>
2217template <class... _Args>
2218typename __tree<_Tp, _Compare, _Allocator>::iterator
2219__tree<_Tp, _Compare, _Allocator>::__emplace_hint_unique_impl(const_iterator __p, _Args&&... __args)
2220{
2221    __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2222    __parent_pointer __parent;
2223    __node_base_pointer __dummy;
2224    __node_base_pointer& __child = __find_equal(__p, __parent, __dummy, __h->__value_);
2225    __node_pointer __r = static_cast<__node_pointer>(__child);
2226    if (__child == nullptr)
2227    {
2228        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2229        __r = __h.release();
2230    }
2231    return iterator(__r);
2232}
2233
2234template <class _Tp, class _Compare, class _Allocator>
2235template <class... _Args>
2236typename __tree<_Tp, _Compare, _Allocator>::iterator
2237__tree<_Tp, _Compare, _Allocator>::__emplace_multi(_Args&&... __args)
2238{
2239    __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2240    __parent_pointer __parent;
2241    __node_base_pointer& __child = __find_leaf_high(__parent, _NodeTypes::__get_key(__h->__value_));
2242    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2243    return iterator(static_cast<__node_pointer>(__h.release()));
2244}
2245
2246template <class _Tp, class _Compare, class _Allocator>
2247template <class... _Args>
2248typename __tree<_Tp, _Compare, _Allocator>::iterator
2249__tree<_Tp, _Compare, _Allocator>::__emplace_hint_multi(const_iterator __p,
2250                                                        _Args&&... __args)
2251{
2252    __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
2253    __parent_pointer __parent;
2254    __node_base_pointer& __child = __find_leaf(__p, __parent, _NodeTypes::__get_key(__h->__value_));
2255    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2256    return iterator(static_cast<__node_pointer>(__h.release()));
2257}
2258
2259
2260#else  // _LIBCPP_CXX03_LANG
2261
2262template <class _Tp, class _Compare, class _Allocator>
2263typename __tree<_Tp, _Compare, _Allocator>::__node_holder
2264__tree<_Tp, _Compare, _Allocator>::__construct_node(const __container_value_type& __v)
2265{
2266    __node_allocator& __na = __node_alloc();
2267    __node_holder __h(__node_traits::allocate(__na, 1), _Dp(__na));
2268    __node_traits::construct(__na, _NodeTypes::__get_ptr(__h->__value_), __v);
2269    __h.get_deleter().__value_constructed = true;
2270    return _LIBCPP_EXPLICIT_MOVE(__h);  // explicitly moved for C++03
2271}
2272
2273#endif  // _LIBCPP_CXX03_LANG
2274
2275#ifdef _LIBCPP_CXX03_LANG
2276template <class _Tp, class _Compare, class _Allocator>
2277typename __tree<_Tp, _Compare, _Allocator>::iterator
2278__tree<_Tp, _Compare, _Allocator>::__insert_multi(const __container_value_type& __v)
2279{
2280    __parent_pointer __parent;
2281    __node_base_pointer& __child = __find_leaf_high(__parent, _NodeTypes::__get_key(__v));
2282    __node_holder __h = __construct_node(__v);
2283    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2284    return iterator(__h.release());
2285}
2286
2287template <class _Tp, class _Compare, class _Allocator>
2288typename __tree<_Tp, _Compare, _Allocator>::iterator
2289__tree<_Tp, _Compare, _Allocator>::__insert_multi(const_iterator __p, const __container_value_type& __v)
2290{
2291    __parent_pointer __parent;
2292    __node_base_pointer& __child = __find_leaf(__p, __parent, _NodeTypes::__get_key(__v));
2293    __node_holder __h = __construct_node(__v);
2294    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
2295    return iterator(__h.release());
2296}
2297#endif
2298
2299template <class _Tp, class _Compare, class _Allocator>
2300pair<typename __tree<_Tp, _Compare, _Allocator>::iterator, bool>
2301__tree<_Tp, _Compare, _Allocator>::__node_assign_unique(const __container_value_type& __v, __node_pointer __nd)
2302{
2303    __parent_pointer __parent;
2304    __node_base_pointer& __child = __find_equal(__parent, _NodeTypes::__get_key(__v));
2305    __node_pointer __r = static_cast<__node_pointer>(__child);
2306    bool __inserted = false;
2307    if (__child == nullptr)
2308    {
2309        __nd->__value_ = __v;
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
2317
2318template <class _Tp, class _Compare, class _Allocator>
2319typename __tree<_Tp, _Compare, _Allocator>::iterator
2320__tree<_Tp, _Compare, _Allocator>::__node_insert_multi(__node_pointer __nd)
2321{
2322    __parent_pointer __parent;
2323    __node_base_pointer& __child = __find_leaf_high(__parent, _NodeTypes::__get_key(__nd->__value_));
2324    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__nd));
2325    return iterator(__nd);
2326}
2327
2328template <class _Tp, class _Compare, class _Allocator>
2329typename __tree<_Tp, _Compare, _Allocator>::iterator
2330__tree<_Tp, _Compare, _Allocator>::__node_insert_multi(const_iterator __p,
2331                                                       __node_pointer __nd)
2332{
2333    __parent_pointer __parent;
2334    __node_base_pointer& __child = __find_leaf(__p, __parent, _NodeTypes::__get_key(__nd->__value_));
2335    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__nd));
2336    return iterator(__nd);
2337}
2338
2339template <class _Tp, class _Compare, class _Allocator>
2340typename __tree<_Tp, _Compare, _Allocator>::iterator
2341__tree<_Tp, _Compare, _Allocator>::__remove_node_pointer(__node_pointer __ptr) _NOEXCEPT
2342{
2343    iterator __r(__ptr);
2344    ++__r;
2345    if (__begin_node() == __ptr)
2346        __begin_node() = __r.__ptr_;
2347    --size();
2348    __tree_remove(__end_node()->__left_,
2349                  static_cast<__node_base_pointer>(__ptr));
2350    return __r;
2351}
2352
2353#if _LIBCPP_STD_VER > 14
2354template <class _Tp, class _Compare, class _Allocator>
2355template <class _NodeHandle, class _InsertReturnType>
2356_LIBCPP_INLINE_VISIBILITY
2357_InsertReturnType
2358__tree<_Tp, _Compare, _Allocator>::__node_handle_insert_unique(
2359    _NodeHandle&& __nh)
2360{
2361    if (__nh.empty())
2362        return _InsertReturnType{end(), false, _NodeHandle()};
2363
2364    __node_pointer __ptr = __nh.__ptr_;
2365    __parent_pointer __parent;
2366    __node_base_pointer& __child = __find_equal(__parent,
2367                                                __ptr->__value_);
2368    if (__child != nullptr)
2369        return _InsertReturnType{
2370            iterator(static_cast<__node_pointer>(__child)),
2371            false, _VSTD::move(__nh)};
2372
2373    __insert_node_at(__parent, __child,
2374                     static_cast<__node_base_pointer>(__ptr));
2375    __nh.__release_ptr();
2376    return _InsertReturnType{iterator(__ptr), true, _NodeHandle()};
2377}
2378
2379template <class _Tp, class _Compare, class _Allocator>
2380template <class _NodeHandle>
2381_LIBCPP_INLINE_VISIBILITY
2382typename __tree<_Tp, _Compare, _Allocator>::iterator
2383__tree<_Tp, _Compare, _Allocator>::__node_handle_insert_unique(
2384    const_iterator __hint, _NodeHandle&& __nh)
2385{
2386    if (__nh.empty())
2387        return end();
2388
2389    __node_pointer __ptr = __nh.__ptr_;
2390    __parent_pointer __parent;
2391    __node_base_pointer __dummy;
2392    __node_base_pointer& __child = __find_equal(__hint, __parent, __dummy,
2393                                                __ptr->__value_);
2394    __node_pointer __r = static_cast<__node_pointer>(__child);
2395    if (__child == nullptr)
2396    {
2397        __insert_node_at(__parent, __child,
2398                         static_cast<__node_base_pointer>(__ptr));
2399        __r = __ptr;
2400        __nh.__release_ptr();
2401    }
2402    return iterator(__r);
2403}
2404
2405template <class _Tp, class _Compare, class _Allocator>
2406template <class _NodeHandle>
2407_LIBCPP_INLINE_VISIBILITY
2408_NodeHandle
2409__tree<_Tp, _Compare, _Allocator>::__node_handle_extract(key_type const& __key)
2410{
2411    iterator __it = find(__key);
2412    if (__it == end())
2413        return _NodeHandle();
2414    return __node_handle_extract<_NodeHandle>(__it);
2415}
2416
2417template <class _Tp, class _Compare, class _Allocator>
2418template <class _NodeHandle>
2419_LIBCPP_INLINE_VISIBILITY
2420_NodeHandle
2421__tree<_Tp, _Compare, _Allocator>::__node_handle_extract(const_iterator __p)
2422{
2423    __node_pointer __np = __p.__get_np();
2424    __remove_node_pointer(__np);
2425    return _NodeHandle(__np, __alloc());
2426}
2427
2428template <class _Tp, class _Compare, class _Allocator>
2429template <class _Tree>
2430_LIBCPP_INLINE_VISIBILITY
2431void
2432__tree<_Tp, _Compare, _Allocator>::__node_handle_merge_unique(_Tree& __source)
2433{
2434    static_assert(is_same<typename _Tree::__node_pointer, __node_pointer>::value, "");
2435
2436    for (typename _Tree::iterator __i = __source.begin();
2437         __i != __source.end();)
2438    {
2439        __node_pointer __src_ptr = __i.__get_np();
2440        __parent_pointer __parent;
2441        __node_base_pointer& __child =
2442            __find_equal(__parent, _NodeTypes::__get_key(__src_ptr->__value_));
2443        ++__i;
2444        if (__child != nullptr)
2445            continue;
2446        __source.__remove_node_pointer(__src_ptr);
2447        __insert_node_at(__parent, __child,
2448                         static_cast<__node_base_pointer>(__src_ptr));
2449    }
2450}
2451
2452template <class _Tp, class _Compare, class _Allocator>
2453template <class _NodeHandle>
2454_LIBCPP_INLINE_VISIBILITY
2455typename __tree<_Tp, _Compare, _Allocator>::iterator
2456__tree<_Tp, _Compare, _Allocator>::__node_handle_insert_multi(_NodeHandle&& __nh)
2457{
2458    if (__nh.empty())
2459        return end();
2460    __node_pointer __ptr = __nh.__ptr_;
2461    __parent_pointer __parent;
2462    __node_base_pointer& __child = __find_leaf_high(
2463        __parent, _NodeTypes::__get_key(__ptr->__value_));
2464    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__ptr));
2465    __nh.__release_ptr();
2466    return iterator(__ptr);
2467}
2468
2469template <class _Tp, class _Compare, class _Allocator>
2470template <class _NodeHandle>
2471_LIBCPP_INLINE_VISIBILITY
2472typename __tree<_Tp, _Compare, _Allocator>::iterator
2473__tree<_Tp, _Compare, _Allocator>::__node_handle_insert_multi(
2474    const_iterator __hint, _NodeHandle&& __nh)
2475{
2476    if (__nh.empty())
2477        return end();
2478
2479    __node_pointer __ptr = __nh.__ptr_;
2480    __parent_pointer __parent;
2481    __node_base_pointer& __child = __find_leaf(__hint, __parent,
2482                                               _NodeTypes::__get_key(__ptr->__value_));
2483    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__ptr));
2484    __nh.__release_ptr();
2485    return iterator(__ptr);
2486}
2487
2488template <class _Tp, class _Compare, class _Allocator>
2489template <class _Tree>
2490_LIBCPP_INLINE_VISIBILITY
2491void
2492__tree<_Tp, _Compare, _Allocator>::__node_handle_merge_multi(_Tree& __source)
2493{
2494    static_assert(is_same<typename _Tree::__node_pointer, __node_pointer>::value, "");
2495
2496    for (typename _Tree::iterator __i = __source.begin();
2497         __i != __source.end();)
2498    {
2499        __node_pointer __src_ptr = __i.__get_np();
2500        __parent_pointer __parent;
2501        __node_base_pointer& __child = __find_leaf_high(
2502            __parent, _NodeTypes::__get_key(__src_ptr->__value_));
2503        ++__i;
2504        __source.__remove_node_pointer(__src_ptr);
2505        __insert_node_at(__parent, __child,
2506                         static_cast<__node_base_pointer>(__src_ptr));
2507    }
2508}
2509
2510#endif  // _LIBCPP_STD_VER > 14
2511
2512template <class _Tp, class _Compare, class _Allocator>
2513typename __tree<_Tp, _Compare, _Allocator>::iterator
2514__tree<_Tp, _Compare, _Allocator>::erase(const_iterator __p)
2515{
2516    __node_pointer __np = __p.__get_np();
2517    iterator __r = __remove_node_pointer(__np);
2518    __node_allocator& __na = __node_alloc();
2519    __node_traits::destroy(__na, _NodeTypes::__get_ptr(
2520        const_cast<__node_value_type&>(*__p)));
2521    __node_traits::deallocate(__na, __np, 1);
2522    return __r;
2523}
2524
2525template <class _Tp, class _Compare, class _Allocator>
2526typename __tree<_Tp, _Compare, _Allocator>::iterator
2527__tree<_Tp, _Compare, _Allocator>::erase(const_iterator __f, const_iterator __l)
2528{
2529    while (__f != __l)
2530        __f = erase(__f);
2531    return iterator(__l.__ptr_);
2532}
2533
2534template <class _Tp, class _Compare, class _Allocator>
2535template <class _Key>
2536typename __tree<_Tp, _Compare, _Allocator>::size_type
2537__tree<_Tp, _Compare, _Allocator>::__erase_unique(const _Key& __k)
2538{
2539    iterator __i = find(__k);
2540    if (__i == end())
2541        return 0;
2542    erase(__i);
2543    return 1;
2544}
2545
2546template <class _Tp, class _Compare, class _Allocator>
2547template <class _Key>
2548typename __tree<_Tp, _Compare, _Allocator>::size_type
2549__tree<_Tp, _Compare, _Allocator>::__erase_multi(const _Key& __k)
2550{
2551    pair<iterator, iterator> __p = __equal_range_multi(__k);
2552    size_type __r = 0;
2553    for (; __p.first != __p.second; ++__r)
2554        __p.first = erase(__p.first);
2555    return __r;
2556}
2557
2558template <class _Tp, class _Compare, class _Allocator>
2559template <class _Key>
2560typename __tree<_Tp, _Compare, _Allocator>::iterator
2561__tree<_Tp, _Compare, _Allocator>::find(const _Key& __v)
2562{
2563    iterator __p = __lower_bound(__v, __root(), __end_node());
2564    if (__p != end() && !value_comp()(__v, *__p))
2565        return __p;
2566    return end();
2567}
2568
2569template <class _Tp, class _Compare, class _Allocator>
2570template <class _Key>
2571typename __tree<_Tp, _Compare, _Allocator>::const_iterator
2572__tree<_Tp, _Compare, _Allocator>::find(const _Key& __v) const
2573{
2574    const_iterator __p = __lower_bound(__v, __root(), __end_node());
2575    if (__p != end() && !value_comp()(__v, *__p))
2576        return __p;
2577    return end();
2578}
2579
2580template <class _Tp, class _Compare, class _Allocator>
2581template <class _Key>
2582typename __tree<_Tp, _Compare, _Allocator>::size_type
2583__tree<_Tp, _Compare, _Allocator>::__count_unique(const _Key& __k) const
2584{
2585    __node_pointer __rt = __root();
2586    while (__rt != nullptr)
2587    {
2588        if (value_comp()(__k, __rt->__value_))
2589        {
2590            __rt = static_cast<__node_pointer>(__rt->__left_);
2591        }
2592        else if (value_comp()(__rt->__value_, __k))
2593            __rt = static_cast<__node_pointer>(__rt->__right_);
2594        else
2595            return 1;
2596    }
2597    return 0;
2598}
2599
2600template <class _Tp, class _Compare, class _Allocator>
2601template <class _Key>
2602typename __tree<_Tp, _Compare, _Allocator>::size_type
2603__tree<_Tp, _Compare, _Allocator>::__count_multi(const _Key& __k) const
2604{
2605    __iter_pointer __result = __end_node();
2606    __node_pointer __rt = __root();
2607    while (__rt != nullptr)
2608    {
2609        if (value_comp()(__k, __rt->__value_))
2610        {
2611            __result = static_cast<__iter_pointer>(__rt);
2612            __rt = static_cast<__node_pointer>(__rt->__left_);
2613        }
2614        else if (value_comp()(__rt->__value_, __k))
2615            __rt = static_cast<__node_pointer>(__rt->__right_);
2616        else
2617            return _VSTD::distance(
2618                __lower_bound(__k, static_cast<__node_pointer>(__rt->__left_), static_cast<__iter_pointer>(__rt)),
2619                __upper_bound(__k, static_cast<__node_pointer>(__rt->__right_), __result)
2620            );
2621    }
2622    return 0;
2623}
2624
2625template <class _Tp, class _Compare, class _Allocator>
2626template <class _Key>
2627typename __tree<_Tp, _Compare, _Allocator>::iterator
2628__tree<_Tp, _Compare, _Allocator>::__lower_bound(const _Key& __v,
2629                                                 __node_pointer __root,
2630                                                 __iter_pointer __result)
2631{
2632    while (__root != nullptr)
2633    {
2634        if (!value_comp()(__root->__value_, __v))
2635        {
2636            __result = static_cast<__iter_pointer>(__root);
2637            __root = static_cast<__node_pointer>(__root->__left_);
2638        }
2639        else
2640            __root = static_cast<__node_pointer>(__root->__right_);
2641    }
2642    return iterator(__result);
2643}
2644
2645template <class _Tp, class _Compare, class _Allocator>
2646template <class _Key>
2647typename __tree<_Tp, _Compare, _Allocator>::const_iterator
2648__tree<_Tp, _Compare, _Allocator>::__lower_bound(const _Key& __v,
2649                                                 __node_pointer __root,
2650                                                 __iter_pointer __result) const
2651{
2652    while (__root != nullptr)
2653    {
2654        if (!value_comp()(__root->__value_, __v))
2655        {
2656            __result = static_cast<__iter_pointer>(__root);
2657            __root = static_cast<__node_pointer>(__root->__left_);
2658        }
2659        else
2660            __root = static_cast<__node_pointer>(__root->__right_);
2661    }
2662    return const_iterator(__result);
2663}
2664
2665template <class _Tp, class _Compare, class _Allocator>
2666template <class _Key>
2667typename __tree<_Tp, _Compare, _Allocator>::iterator
2668__tree<_Tp, _Compare, _Allocator>::__upper_bound(const _Key& __v,
2669                                                 __node_pointer __root,
2670                                                 __iter_pointer __result)
2671{
2672    while (__root != nullptr)
2673    {
2674        if (value_comp()(__v, __root->__value_))
2675        {
2676            __result = static_cast<__iter_pointer>(__root);
2677            __root = static_cast<__node_pointer>(__root->__left_);
2678        }
2679        else
2680            __root = static_cast<__node_pointer>(__root->__right_);
2681    }
2682    return iterator(__result);
2683}
2684
2685template <class _Tp, class _Compare, class _Allocator>
2686template <class _Key>
2687typename __tree<_Tp, _Compare, _Allocator>::const_iterator
2688__tree<_Tp, _Compare, _Allocator>::__upper_bound(const _Key& __v,
2689                                                 __node_pointer __root,
2690                                                 __iter_pointer __result) const
2691{
2692    while (__root != nullptr)
2693    {
2694        if (value_comp()(__v, __root->__value_))
2695        {
2696            __result = static_cast<__iter_pointer>(__root);
2697            __root = static_cast<__node_pointer>(__root->__left_);
2698        }
2699        else
2700            __root = static_cast<__node_pointer>(__root->__right_);
2701    }
2702    return const_iterator(__result);
2703}
2704
2705template <class _Tp, class _Compare, class _Allocator>
2706template <class _Key>
2707pair<typename __tree<_Tp, _Compare, _Allocator>::iterator,
2708     typename __tree<_Tp, _Compare, _Allocator>::iterator>
2709__tree<_Tp, _Compare, _Allocator>::__equal_range_unique(const _Key& __k)
2710{
2711    typedef pair<iterator, iterator> _Pp;
2712    __iter_pointer __result = __end_node();
2713    __node_pointer __rt = __root();
2714    while (__rt != nullptr)
2715    {
2716        if (value_comp()(__k, __rt->__value_))
2717        {
2718            __result = static_cast<__iter_pointer>(__rt);
2719            __rt = static_cast<__node_pointer>(__rt->__left_);
2720        }
2721        else if (value_comp()(__rt->__value_, __k))
2722            __rt = static_cast<__node_pointer>(__rt->__right_);
2723        else
2724            return _Pp(iterator(__rt),
2725                      iterator(
2726                          __rt->__right_ != nullptr ?
2727                              static_cast<__iter_pointer>(__tree_min(__rt->__right_))
2728                            : __result));
2729    }
2730    return _Pp(iterator(__result), iterator(__result));
2731}
2732
2733template <class _Tp, class _Compare, class _Allocator>
2734template <class _Key>
2735pair<typename __tree<_Tp, _Compare, _Allocator>::const_iterator,
2736     typename __tree<_Tp, _Compare, _Allocator>::const_iterator>
2737__tree<_Tp, _Compare, _Allocator>::__equal_range_unique(const _Key& __k) const
2738{
2739    typedef pair<const_iterator, const_iterator> _Pp;
2740    __iter_pointer __result = __end_node();
2741    __node_pointer __rt = __root();
2742    while (__rt != nullptr)
2743    {
2744        if (value_comp()(__k, __rt->__value_))
2745        {
2746            __result = static_cast<__iter_pointer>(__rt);
2747            __rt = static_cast<__node_pointer>(__rt->__left_);
2748        }
2749        else if (value_comp()(__rt->__value_, __k))
2750            __rt = static_cast<__node_pointer>(__rt->__right_);
2751        else
2752            return _Pp(const_iterator(__rt),
2753                      const_iterator(
2754                          __rt->__right_ != nullptr ?
2755                              static_cast<__iter_pointer>(__tree_min(__rt->__right_))
2756                            : __result));
2757    }
2758    return _Pp(const_iterator(__result), const_iterator(__result));
2759}
2760
2761template <class _Tp, class _Compare, class _Allocator>
2762template <class _Key>
2763pair<typename __tree<_Tp, _Compare, _Allocator>::iterator,
2764     typename __tree<_Tp, _Compare, _Allocator>::iterator>
2765__tree<_Tp, _Compare, _Allocator>::__equal_range_multi(const _Key& __k)
2766{
2767    typedef pair<iterator, iterator> _Pp;
2768    __iter_pointer __result = __end_node();
2769    __node_pointer __rt = __root();
2770    while (__rt != nullptr)
2771    {
2772        if (value_comp()(__k, __rt->__value_))
2773        {
2774            __result = static_cast<__iter_pointer>(__rt);
2775            __rt = static_cast<__node_pointer>(__rt->__left_);
2776        }
2777        else if (value_comp()(__rt->__value_, __k))
2778            __rt = static_cast<__node_pointer>(__rt->__right_);
2779        else
2780            return _Pp(__lower_bound(__k, static_cast<__node_pointer>(__rt->__left_), static_cast<__iter_pointer>(__rt)),
2781                      __upper_bound(__k, static_cast<__node_pointer>(__rt->__right_), __result));
2782    }
2783    return _Pp(iterator(__result), iterator(__result));
2784}
2785
2786template <class _Tp, class _Compare, class _Allocator>
2787template <class _Key>
2788pair<typename __tree<_Tp, _Compare, _Allocator>::const_iterator,
2789     typename __tree<_Tp, _Compare, _Allocator>::const_iterator>
2790__tree<_Tp, _Compare, _Allocator>::__equal_range_multi(const _Key& __k) const
2791{
2792    typedef pair<const_iterator, const_iterator> _Pp;
2793    __iter_pointer __result = __end_node();
2794    __node_pointer __rt = __root();
2795    while (__rt != nullptr)
2796    {
2797        if (value_comp()(__k, __rt->__value_))
2798        {
2799            __result = static_cast<__iter_pointer>(__rt);
2800            __rt = static_cast<__node_pointer>(__rt->__left_);
2801        }
2802        else if (value_comp()(__rt->__value_, __k))
2803            __rt = static_cast<__node_pointer>(__rt->__right_);
2804        else
2805            return _Pp(__lower_bound(__k, static_cast<__node_pointer>(__rt->__left_), static_cast<__iter_pointer>(__rt)),
2806                      __upper_bound(__k, static_cast<__node_pointer>(__rt->__right_), __result));
2807    }
2808    return _Pp(const_iterator(__result), const_iterator(__result));
2809}
2810
2811template <class _Tp, class _Compare, class _Allocator>
2812typename __tree<_Tp, _Compare, _Allocator>::__node_holder
2813__tree<_Tp, _Compare, _Allocator>::remove(const_iterator __p) _NOEXCEPT
2814{
2815    __node_pointer __np = __p.__get_np();
2816    if (__begin_node() == __p.__ptr_)
2817    {
2818        if (__np->__right_ != nullptr)
2819            __begin_node() = static_cast<__iter_pointer>(__np->__right_);
2820        else
2821            __begin_node() = static_cast<__iter_pointer>(__np->__parent_);
2822    }
2823    --size();
2824    __tree_remove(__end_node()->__left_,
2825                  static_cast<__node_base_pointer>(__np));
2826    return __node_holder(__np, _Dp(__node_alloc(), true));
2827}
2828
2829template <class _Tp, class _Compare, class _Allocator>
2830inline _LIBCPP_INLINE_VISIBILITY
2831void
2832swap(__tree<_Tp, _Compare, _Allocator>& __x,
2833     __tree<_Tp, _Compare, _Allocator>& __y)
2834    _NOEXCEPT_(_NOEXCEPT_(__x.swap(__y)))
2835{
2836    __x.swap(__y);
2837}
2838
2839_LIBCPP_END_NAMESPACE_STD
2840
2841_LIBCPP_POP_MACROS
2842
2843#endif  // _LIBCPP___TREE
2844