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      1 // -*- C++ -*-
      2 //===----------------------------------------------------------------------===//
      3 //
      4 //                     The LLVM Compiler Infrastructure
      5 //
      6 // This file is dual licensed under the MIT and the University of Illinois Open
      7 // Source Licenses. See LICENSE.TXT for details.
      8 //
      9 //===----------------------------------------------------------------------===//
     10 
     11 #ifndef _LIBCPP___TREE
     12 #define _LIBCPP___TREE
     13 
     14 #include <__config>
     15 #include <iterator>
     16 #include <memory>
     17 #include <stdexcept>
     18 #include <algorithm>
     19 
     20 #include <__undef_min_max>
     21 
     22 #if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
     23 #pragma GCC system_header
     24 #endif
     25 
     26 _LIBCPP_BEGIN_NAMESPACE_STD
     27 
     28 template <class _Tp, class _Compare, class _Allocator> class __tree;
     29 template <class _Tp, class _NodePtr, class _DiffType>
     30     class _LIBCPP_TEMPLATE_VIS __tree_iterator;
     31 template <class _Tp, class _ConstNodePtr, class _DiffType>
     32     class _LIBCPP_TEMPLATE_VIS __tree_const_iterator;
     33 
     34 template <class _Pointer> class __tree_end_node;
     35 template <class _VoidPtr> class __tree_node_base;
     36 template <class _Tp, class _VoidPtr> class __tree_node;
     37 
     38 #ifndef _LIBCPP_CXX03_LANG
     39 template <class _Key, class _Value>
     40 union __value_type;
     41 #else
     42 template <class _Key, class _Value>
     43 struct __value_type;
     44 #endif
     45 
     46 template <class _Key, class _CP, class _Compare,
     47     bool = is_empty<_Compare>::value && !__libcpp_is_final<_Compare>::value>
     48 class __map_value_compare;
     49 
     50 template <class _Allocator> class __map_node_destructor;
     51 template <class _TreeIterator> class _LIBCPP_TEMPLATE_VIS __map_iterator;
     52 template <class _TreeIterator> class _LIBCPP_TEMPLATE_VIS __map_const_iterator;
     53 
     54 /*
     55 
     56 _NodePtr algorithms
     57 
     58 The algorithms taking _NodePtr are red black tree algorithms.  Those
     59 algorithms taking a parameter named __root should assume that __root
     60 points to a proper red black tree (unless otherwise specified).
     61 
     62 Each algorithm herein assumes that __root->__parent_ points to a non-null
     63 structure which has a member __left_ which points back to __root.  No other
     64 member is read or written to at __root->__parent_.
     65 
     66 __root->__parent_ will be referred to below (in comments only) as end_node.
     67 end_node->__left_ is an externably accessible lvalue for __root, and can be
     68 changed by node insertion and removal (without explicit reference to end_node).
     69 
     70 All nodes (with the exception of end_node), even the node referred to as
     71 __root, have a non-null __parent_ field.
     72 
     73 */
     74 
     75 // Returns:  true if __x is a left child of its parent, else false
     76 // Precondition:  __x != nullptr.
     77 template <class _NodePtr>
     78 inline _LIBCPP_INLINE_VISIBILITY
     79 bool
     80 __tree_is_left_child(_NodePtr __x) _NOEXCEPT
     81 {
     82     return __x == __x->__parent_->__left_;
     83 }
     84 
     85 // Determintes if the subtree rooted at __x is a proper red black subtree.  If
     86 //    __x is a proper subtree, returns the black height (null counts as 1).  If
     87 //    __x is an improper subtree, returns 0.
     88 template <class _NodePtr>
     89 unsigned
     90 __tree_sub_invariant(_NodePtr __x)
     91 {
     92     if (__x == nullptr)
     93         return 1;
     94     // parent consistency checked by caller
     95     // check __x->__left_ consistency
     96     if (__x->__left_ != nullptr && __x->__left_->__parent_ != __x)
     97         return 0;
     98     // check __x->__right_ consistency
     99     if (__x->__right_ != nullptr && __x->__right_->__parent_ != __x)
    100         return 0;
    101     // check __x->__left_ != __x->__right_ unless both are nullptr
    102     if (__x->__left_ == __x->__right_ && __x->__left_ != nullptr)
    103         return 0;
    104     // If this is red, neither child can be red
    105     if (!__x->__is_black_)
    106     {
    107         if (__x->__left_ && !__x->__left_->__is_black_)
    108             return 0;
    109         if (__x->__right_ && !__x->__right_->__is_black_)
    110             return 0;
    111     }
    112     unsigned __h = __tree_sub_invariant(__x->__left_);
    113     if (__h == 0)
    114         return 0;  // invalid left subtree
    115     if (__h != __tree_sub_invariant(__x->__right_))
    116         return 0;  // invalid or different height right subtree
    117     return __h + __x->__is_black_;  // return black height of this node
    118 }
    119 
    120 // Determintes if the red black tree rooted at __root is a proper red black tree.
    121 //    __root == nullptr is a proper tree.  Returns true is __root is a proper
    122 //    red black tree, else returns false.
    123 template <class _NodePtr>
    124 bool
    125 __tree_invariant(_NodePtr __root)
    126 {
    127     if (__root == nullptr)
    128         return true;
    129     // check __x->__parent_ consistency
    130     if (__root->__parent_ == nullptr)
    131         return false;
    132     if (!__tree_is_left_child(__root))
    133         return false;
    134     // root must be black
    135     if (!__root->__is_black_)
    136         return false;
    137     // do normal node checks
    138     return __tree_sub_invariant(__root) != 0;
    139 }
    140 
    141 // Returns:  pointer to the left-most node under __x.
    142 // Precondition:  __x != nullptr.
    143 template <class _NodePtr>
    144 inline _LIBCPP_INLINE_VISIBILITY
    145 _NodePtr
    146 __tree_min(_NodePtr __x) _NOEXCEPT
    147 {
    148     while (__x->__left_ != nullptr)
    149         __x = __x->__left_;
    150     return __x;
    151 }
    152 
    153 // Returns:  pointer to the right-most node under __x.
    154 // Precondition:  __x != nullptr.
    155 template <class _NodePtr>
    156 inline _LIBCPP_INLINE_VISIBILITY
    157 _NodePtr
    158 __tree_max(_NodePtr __x) _NOEXCEPT
    159 {
    160     while (__x->__right_ != nullptr)
    161         __x = __x->__right_;
    162     return __x;
    163 }
    164 
    165 // Returns:  pointer to the next in-order node after __x.
    166 // Precondition:  __x != nullptr.
    167 template <class _NodePtr>
    168 _NodePtr
    169 __tree_next(_NodePtr __x) _NOEXCEPT
    170 {
    171     if (__x->__right_ != nullptr)
    172         return __tree_min(__x->__right_);
    173     while (!__tree_is_left_child(__x))
    174         __x = __x->__parent_unsafe();
    175     return __x->__parent_unsafe();
    176 }
    177 
    178 template <class _EndNodePtr, class _NodePtr>
    179 inline _LIBCPP_INLINE_VISIBILITY
    180 _EndNodePtr
    181 __tree_next_iter(_NodePtr __x) _NOEXCEPT
    182 {
    183     if (__x->__right_ != nullptr)
    184         return static_cast<_EndNodePtr>(__tree_min(__x->__right_));
    185     while (!__tree_is_left_child(__x))
    186         __x = __x->__parent_unsafe();
    187     return static_cast<_EndNodePtr>(__x->__parent_);
    188 }
    189 
    190 // Returns:  pointer to the previous in-order node before __x.
    191 // Precondition:  __x != nullptr.
    192 // Note: __x may be the end node.
    193 template <class _NodePtr, class _EndNodePtr>
    194 inline _LIBCPP_INLINE_VISIBILITY
    195 _NodePtr
    196 __tree_prev_iter(_EndNodePtr __x) _NOEXCEPT
    197 {
    198     if (__x->__left_ != nullptr)
    199         return __tree_max(__x->__left_);
    200     _NodePtr __xx = static_cast<_NodePtr>(__x);
    201     while (__tree_is_left_child(__xx))
    202         __xx = __xx->__parent_unsafe();
    203     return __xx->__parent_unsafe();
    204 }
    205 
    206 // Returns:  pointer to a node which has no children
    207 // Precondition:  __x != nullptr.
    208 template <class _NodePtr>
    209 _NodePtr
    210 __tree_leaf(_NodePtr __x) _NOEXCEPT
    211 {
    212     while (true)
    213     {
    214         if (__x->__left_ != nullptr)
    215         {
    216             __x = __x->__left_;
    217             continue;
    218         }
    219         if (__x->__right_ != nullptr)
    220         {
    221             __x = __x->__right_;
    222             continue;
    223         }
    224         break;
    225     }
    226     return __x;
    227 }
    228 
    229 // Effects:  Makes __x->__right_ the subtree root with __x as its left child
    230 //           while preserving in-order order.
    231 // Precondition:  __x->__right_ != nullptr
    232 template <class _NodePtr>
    233 void
    234 __tree_left_rotate(_NodePtr __x) _NOEXCEPT
    235 {
    236     _NodePtr __y = __x->__right_;
    237     __x->__right_ = __y->__left_;
    238     if (__x->__right_ != nullptr)
    239         __x->__right_->__set_parent(__x);
    240     __y->__parent_ = __x->__parent_;
    241     if (__tree_is_left_child(__x))
    242         __x->__parent_->__left_ = __y;
    243     else
    244         __x->__parent_unsafe()->__right_ = __y;
    245     __y->__left_ = __x;
    246     __x->__set_parent(__y);
    247 }
    248 
    249 // Effects:  Makes __x->__left_ the subtree root with __x as its right child
    250 //           while preserving in-order order.
    251 // Precondition:  __x->__left_ != nullptr
    252 template <class _NodePtr>
    253 void
    254 __tree_right_rotate(_NodePtr __x) _NOEXCEPT
    255 {
    256     _NodePtr __y = __x->__left_;
    257     __x->__left_ = __y->__right_;
    258     if (__x->__left_ != nullptr)
    259         __x->__left_->__set_parent(__x);
    260     __y->__parent_ = __x->__parent_;
    261     if (__tree_is_left_child(__x))
    262         __x->__parent_->__left_ = __y;
    263     else
    264         __x->__parent_unsafe()->__right_ = __y;
    265     __y->__right_ = __x;
    266     __x->__set_parent(__y);
    267 }
    268 
    269 // Effects:  Rebalances __root after attaching __x to a leaf.
    270 // Precondition:  __root != nulptr && __x != nullptr.
    271 //                __x has no children.
    272 //                __x == __root or == a direct or indirect child of __root.
    273 //                If __x were to be unlinked from __root (setting __root to
    274 //                  nullptr if __root == __x), __tree_invariant(__root) == true.
    275 // Postcondition: __tree_invariant(end_node->__left_) == true.  end_node->__left_
    276 //                may be different than the value passed in as __root.
    277 template <class _NodePtr>
    278 void
    279 __tree_balance_after_insert(_NodePtr __root, _NodePtr __x) _NOEXCEPT
    280 {
    281     __x->__is_black_ = __x == __root;
    282     while (__x != __root && !__x->__parent_unsafe()->__is_black_)
    283     {
    284         // __x->__parent_ != __root because __x->__parent_->__is_black == false
    285         if (__tree_is_left_child(__x->__parent_unsafe()))
    286         {
    287             _NodePtr __y = __x->__parent_unsafe()->__parent_unsafe()->__right_;
    288             if (__y != nullptr && !__y->__is_black_)
    289             {
    290                 __x = __x->__parent_unsafe();
    291                 __x->__is_black_ = true;
    292                 __x = __x->__parent_unsafe();
    293                 __x->__is_black_ = __x == __root;
    294                 __y->__is_black_ = true;
    295             }
    296             else
    297             {
    298                 if (!__tree_is_left_child(__x))
    299                 {
    300                     __x = __x->__parent_unsafe();
    301                     __tree_left_rotate(__x);
    302                 }
    303                 __x = __x->__parent_unsafe();
    304                 __x->__is_black_ = true;
    305                 __x = __x->__parent_unsafe();
    306                 __x->__is_black_ = false;
    307                 __tree_right_rotate(__x);
    308                 break;
    309             }
    310         }
    311         else
    312         {
    313             _NodePtr __y = __x->__parent_unsafe()->__parent_->__left_;
    314             if (__y != nullptr && !__y->__is_black_)
    315             {
    316                 __x = __x->__parent_unsafe();
    317                 __x->__is_black_ = true;
    318                 __x = __x->__parent_unsafe();
    319                 __x->__is_black_ = __x == __root;
    320                 __y->__is_black_ = true;
    321             }
    322             else
    323             {
    324                 if (__tree_is_left_child(__x))
    325                 {
    326                     __x = __x->__parent_unsafe();
    327                     __tree_right_rotate(__x);
    328                 }
    329                 __x = __x->__parent_unsafe();
    330                 __x->__is_black_ = true;
    331                 __x = __x->__parent_unsafe();
    332                 __x->__is_black_ = false;
    333                 __tree_left_rotate(__x);
    334                 break;
    335             }
    336         }
    337     }
    338 }
    339 
    340 // Precondition:  __root != nullptr && __z != nullptr.
    341 //                __tree_invariant(__root) == true.
    342 //                __z == __root or == a direct or indirect child of __root.
    343 // Effects:  unlinks __z from the tree rooted at __root, rebalancing as needed.
    344 // Postcondition: __tree_invariant(end_node->__left_) == true && end_node->__left_
    345 //                nor any of its children refer to __z.  end_node->__left_
    346 //                may be different than the value passed in as __root.
    347 template <class _NodePtr>
    348 void
    349 __tree_remove(_NodePtr __root, _NodePtr __z) _NOEXCEPT
    350 {
    351     // __z will be removed from the tree.  Client still needs to destruct/deallocate it
    352     // __y is either __z, or if __z has two children, __tree_next(__z).
    353     // __y will have at most one child.
    354     // __y will be the initial hole in the tree (make the hole at a leaf)
    355     _NodePtr __y = (__z->__left_ == nullptr || __z->__right_ == nullptr) ?
    356                     __z : __tree_next(__z);
    357     // __x is __y's possibly null single child
    358     _NodePtr __x = __y->__left_ != nullptr ? __y->__left_ : __y->__right_;
    359     // __w is __x's possibly null uncle (will become __x's sibling)
    360     _NodePtr __w = nullptr;
    361     // link __x to __y's parent, and find __w
    362     if (__x != nullptr)
    363         __x->__parent_ = __y->__parent_;
    364     if (__tree_is_left_child(__y))
    365     {
    366         __y->__parent_->__left_ = __x;
    367         if (__y != __root)
    368             __w = __y->__parent_unsafe()->__right_;
    369         else
    370             __root = __x;  // __w == nullptr
    371     }
    372     else
    373     {
    374         __y->__parent_unsafe()->__right_ = __x;
    375         // __y can't be root if it is a right child
    376         __w = __y->__parent_->__left_;
    377     }
    378     bool __removed_black = __y->__is_black_;
    379     // If we didn't remove __z, do so now by splicing in __y for __z,
    380     //    but copy __z's color.  This does not impact __x or __w.
    381     if (__y != __z)
    382     {
    383         // __z->__left_ != nulptr but __z->__right_ might == __x == nullptr
    384         __y->__parent_ = __z->__parent_;
    385         if (__tree_is_left_child(__z))
    386             __y->__parent_->__left_ = __y;
    387         else
    388             __y->__parent_unsafe()->__right_ = __y;
    389         __y->__left_ = __z->__left_;
    390         __y->__left_->__set_parent(__y);
    391         __y->__right_ = __z->__right_;
    392         if (__y->__right_ != nullptr)
    393             __y->__right_->__set_parent(__y);
    394         __y->__is_black_ = __z->__is_black_;
    395         if (__root == __z)
    396             __root = __y;
    397     }
    398     // There is no need to rebalance if we removed a red, or if we removed
    399     //     the last node.
    400     if (__removed_black && __root != nullptr)
    401     {
    402         // Rebalance:
    403         // __x has an implicit black color (transferred from the removed __y)
    404         //    associated with it, no matter what its color is.
    405         // If __x is __root (in which case it can't be null), it is supposed
    406         //    to be black anyway, and if it is doubly black, then the double
    407         //    can just be ignored.
    408         // If __x is red (in which case it can't be null), then it can absorb
    409         //    the implicit black just by setting its color to black.
    410         // Since __y was black and only had one child (which __x points to), __x
    411         //   is either red with no children, else null, otherwise __y would have
    412         //   different black heights under left and right pointers.
    413         // if (__x == __root || __x != nullptr && !__x->__is_black_)
    414         if (__x != nullptr)
    415             __x->__is_black_ = true;
    416         else
    417         {
    418             //  Else __x isn't root, and is "doubly black", even though it may
    419             //     be null.  __w can not be null here, else the parent would
    420             //     see a black height >= 2 on the __x side and a black height
    421             //     of 1 on the __w side (__w must be a non-null black or a red
    422             //     with a non-null black child).
    423             while (true)
    424             {
    425                 if (!__tree_is_left_child(__w))  // if x is left child
    426                 {
    427                     if (!__w->__is_black_)
    428                     {
    429                         __w->__is_black_ = true;
    430                         __w->__parent_unsafe()->__is_black_ = false;
    431                         __tree_left_rotate(__w->__parent_unsafe());
    432                         // __x is still valid
    433                         // reset __root only if necessary
    434                         if (__root == __w->__left_)
    435                             __root = __w;
    436                         // reset sibling, and it still can't be null
    437                         __w = __w->__left_->__right_;
    438                     }
    439                     // __w->__is_black_ is now true, __w may have null children
    440                     if ((__w->__left_  == nullptr || __w->__left_->__is_black_) &&
    441                         (__w->__right_ == nullptr || __w->__right_->__is_black_))
    442                     {
    443                         __w->__is_black_ = false;
    444                         __x = __w->__parent_unsafe();
    445                         // __x can no longer be null
    446                         if (__x == __root || !__x->__is_black_)
    447                         {
    448                             __x->__is_black_ = true;
    449                             break;
    450                         }
    451                         // reset sibling, and it still can't be null
    452                         __w = __tree_is_left_child(__x) ?
    453                                     __x->__parent_unsafe()->__right_ :
    454                                     __x->__parent_->__left_;
    455                         // continue;
    456                     }
    457                     else  // __w has a red child
    458                     {
    459                         if (__w->__right_ == nullptr || __w->__right_->__is_black_)
    460                         {
    461                             // __w left child is non-null and red
    462                             __w->__left_->__is_black_ = true;
    463                             __w->__is_black_ = false;
    464                             __tree_right_rotate(__w);
    465                             // __w is known not to be root, so root hasn't changed
    466                             // reset sibling, and it still can't be null
    467                             __w = __w->__parent_unsafe();
    468                         }
    469                         // __w has a right red child, left child may be null
    470                         __w->__is_black_ = __w->__parent_unsafe()->__is_black_;
    471                         __w->__parent_unsafe()->__is_black_ = true;
    472                         __w->__right_->__is_black_ = true;
    473                         __tree_left_rotate(__w->__parent_unsafe());
    474                         break;
    475                     }
    476                 }
    477                 else
    478                 {
    479                     if (!__w->__is_black_)
    480                     {
    481                         __w->__is_black_ = true;
    482                         __w->__parent_unsafe()->__is_black_ = false;
    483                         __tree_right_rotate(__w->__parent_unsafe());
    484                         // __x is still valid
    485                         // reset __root only if necessary
    486                         if (__root == __w->__right_)
    487                             __root = __w;
    488                         // reset sibling, and it still can't be null
    489                         __w = __w->__right_->__left_;
    490                     }
    491                     // __w->__is_black_ is now true, __w may have null children
    492                     if ((__w->__left_  == nullptr || __w->__left_->__is_black_) &&
    493                         (__w->__right_ == nullptr || __w->__right_->__is_black_))
    494                     {
    495                         __w->__is_black_ = false;
    496                         __x = __w->__parent_unsafe();
    497                         // __x can no longer be null
    498                         if (!__x->__is_black_ || __x == __root)
    499                         {
    500                             __x->__is_black_ = true;
    501                             break;
    502                         }
    503                         // reset sibling, and it still can't be null
    504                         __w = __tree_is_left_child(__x) ?
    505                                     __x->__parent_unsafe()->__right_ :
    506                                     __x->__parent_->__left_;
    507                         // continue;
    508                     }
    509                     else  // __w has a red child
    510                     {
    511                         if (__w->__left_ == nullptr || __w->__left_->__is_black_)
    512                         {
    513                             // __w right child is non-null and red
    514                             __w->__right_->__is_black_ = true;
    515                             __w->__is_black_ = false;
    516                             __tree_left_rotate(__w);
    517                             // __w is known not to be root, so root hasn't changed
    518                             // reset sibling, and it still can't be null
    519                             __w = __w->__parent_unsafe();
    520                         }
    521                         // __w has a left red child, right child may be null
    522                         __w->__is_black_ = __w->__parent_unsafe()->__is_black_;
    523                         __w->__parent_unsafe()->__is_black_ = true;
    524                         __w->__left_->__is_black_ = true;
    525                         __tree_right_rotate(__w->__parent_unsafe());
    526                         break;
    527                     }
    528                 }
    529             }
    530         }
    531     }
    532 }
    533 
    534 // node traits
    535 
    536 
    537 #ifndef _LIBCPP_CXX03_LANG
    538 template <class _Tp>
    539 struct __is_tree_value_type_imp : false_type {};
    540 
    541 template <class _Key, class _Value>
    542 struct __is_tree_value_type_imp<__value_type<_Key, _Value>> : true_type {};
    543 
    544 template <class ..._Args>
    545 struct __is_tree_value_type : false_type {};
    546 
    547 template <class _One>
    548 struct __is_tree_value_type<_One> : __is_tree_value_type_imp<typename __uncvref<_One>::type> {};
    549 #endif
    550 
    551 template <class _Tp>
    552 struct __tree_key_value_types {
    553   typedef _Tp key_type;
    554   typedef _Tp __node_value_type;
    555   typedef _Tp __container_value_type;
    556   static const bool __is_map = false;
    557 
    558   _LIBCPP_INLINE_VISIBILITY
    559   static key_type const& __get_key(_Tp const& __v) {
    560     return __v;
    561   }
    562   _LIBCPP_INLINE_VISIBILITY
    563   static __container_value_type const& __get_value(__node_value_type const& __v) {
    564     return __v;
    565   }
    566   _LIBCPP_INLINE_VISIBILITY
    567   static __container_value_type* __get_ptr(__node_value_type& __n) {
    568     return _VSTD::addressof(__n);
    569   }
    570 
    571 #ifndef _LIBCPP_CXX03_LANG
    572   _LIBCPP_INLINE_VISIBILITY
    573   static  __container_value_type&& __move(__node_value_type& __v) {
    574     return _VSTD::move(__v);
    575   }
    576 #endif
    577 };
    578 
    579 template <class _Key, class _Tp>
    580 struct __tree_key_value_types<__value_type<_Key, _Tp> > {
    581   typedef _Key                                         key_type;
    582   typedef _Tp                                          mapped_type;
    583   typedef __value_type<_Key, _Tp>                      __node_value_type;
    584   typedef pair<const _Key, _Tp>                        __container_value_type;
    585   typedef pair<_Key, _Tp>                              __nc_value_type;
    586   typedef __container_value_type                       __map_value_type;
    587   static const bool __is_map = true;
    588 
    589   _LIBCPP_INLINE_VISIBILITY
    590   static key_type const&
    591   __get_key(__node_value_type const& __t) {
    592     return __t.__cc.first;
    593   }
    594 
    595   template <class _Up>
    596   _LIBCPP_INLINE_VISIBILITY
    597   static typename enable_if<__is_same_uncvref<_Up, __container_value_type>::value,
    598       key_type const&>::type
    599   __get_key(_Up& __t) {
    600     return __t.first;
    601   }
    602 
    603   _LIBCPP_INLINE_VISIBILITY
    604   static __container_value_type const&
    605   __get_value(__node_value_type const& __t) {
    606     return __t.__cc;
    607   }
    608 
    609   template <class _Up>
    610   _LIBCPP_INLINE_VISIBILITY
    611   static typename enable_if<__is_same_uncvref<_Up, __container_value_type>::value,
    612       __container_value_type const&>::type
    613   __get_value(_Up& __t) {
    614     return __t;
    615   }
    616 
    617   _LIBCPP_INLINE_VISIBILITY
    618   static __container_value_type* __get_ptr(__node_value_type& __n) {
    619     return _VSTD::addressof(__n.__cc);
    620   }
    621 
    622 #ifndef _LIBCPP_CXX03_LANG
    623   _LIBCPP_INLINE_VISIBILITY
    624   static  __nc_value_type&& __move(__node_value_type& __v) {
    625     return _VSTD::move(__v.__nc);
    626   }
    627 #endif
    628 };
    629 
    630 template <class _VoidPtr>
    631 struct __tree_node_base_types {
    632   typedef _VoidPtr                                               __void_pointer;
    633 
    634   typedef __tree_node_base<__void_pointer>                      __node_base_type;
    635   typedef typename __rebind_pointer<_VoidPtr, __node_base_type>::type
    636                                                              __node_base_pointer;
    637 
    638   typedef __tree_end_node<__node_base_pointer>                  __end_node_type;
    639   typedef typename __rebind_pointer<_VoidPtr, __end_node_type>::type
    640                                                              __end_node_pointer;
    641 #if defined(_LIBCPP_ABI_TREE_REMOVE_NODE_POINTER_UB)
    642   typedef __end_node_pointer __parent_pointer;
    643 #else
    644   typedef typename conditional<
    645       is_pointer<__end_node_pointer>::value,
    646         __end_node_pointer,
    647         __node_base_pointer>::type __parent_pointer;
    648 #endif
    649 
    650 private:
    651   static_assert((is_same<typename pointer_traits<_VoidPtr>::element_type, void>::value),
    652                   "_VoidPtr does not point to unqualified void type");
    653 };
    654 
    655 template <class _Tp, class _AllocPtr, class _KVTypes = __tree_key_value_types<_Tp>,
    656          bool = _KVTypes::__is_map>
    657 struct __tree_map_pointer_types {};
    658 
    659 template <class _Tp, class _AllocPtr, class _KVTypes>
    660 struct __tree_map_pointer_types<_Tp, _AllocPtr, _KVTypes, true> {
    661   typedef typename _KVTypes::__map_value_type   _Mv;
    662   typedef typename __rebind_pointer<_AllocPtr, _Mv>::type
    663                                                        __map_value_type_pointer;
    664   typedef typename __rebind_pointer<_AllocPtr, const _Mv>::type
    665                                                  __const_map_value_type_pointer;
    666 };
    667 
    668 template <class _NodePtr, class _NodeT = typename pointer_traits<_NodePtr>::element_type>
    669 struct __tree_node_types;
    670 
    671 template <class _NodePtr, class _Tp, class _VoidPtr>
    672 struct __tree_node_types<_NodePtr, __tree_node<_Tp, _VoidPtr> >
    673     : public __tree_node_base_types<_VoidPtr>,
    674              __tree_key_value_types<_Tp>,
    675              __tree_map_pointer_types<_Tp, _VoidPtr>
    676 {
    677   typedef __tree_node_base_types<_VoidPtr> __base;
    678   typedef __tree_key_value_types<_Tp>      __key_base;
    679   typedef __tree_map_pointer_types<_Tp, _VoidPtr> __map_pointer_base;
    680 public:
    681 
    682   typedef typename pointer_traits<_NodePtr>::element_type       __node_type;
    683   typedef _NodePtr                                              __node_pointer;
    684 
    685   typedef _Tp                                                 __node_value_type;
    686   typedef typename __rebind_pointer<_VoidPtr, __node_value_type>::type
    687                                                       __node_value_type_pointer;
    688   typedef typename __rebind_pointer<_VoidPtr, const __node_value_type>::type
    689                                                 __const_node_value_type_pointer;
    690 #if defined(_LIBCPP_ABI_TREE_REMOVE_NODE_POINTER_UB)
    691   typedef typename __base::__end_node_pointer __iter_pointer;
    692 #else
    693   typedef typename conditional<
    694       is_pointer<__node_pointer>::value,
    695         typename __base::__end_node_pointer,
    696         __node_pointer>::type __iter_pointer;
    697 #endif
    698 private:
    699     static_assert(!is_const<__node_type>::value,
    700                 "_NodePtr should never be a pointer to const");
    701     static_assert((is_same<typename __rebind_pointer<_VoidPtr, __node_type>::type,
    702                           _NodePtr>::value), "_VoidPtr does not rebind to _NodePtr.");
    703 };
    704 
    705 template <class _ValueTp, class _VoidPtr>
    706 struct __make_tree_node_types {
    707   typedef typename __rebind_pointer<_VoidPtr, __tree_node<_ValueTp, _VoidPtr> >::type
    708                                                                         _NodePtr;
    709   typedef __tree_node_types<_NodePtr> type;
    710 };
    711 
    712 // node
    713 
    714 template <class _Pointer>
    715 class __tree_end_node
    716 {
    717 public:
    718     typedef _Pointer pointer;
    719     pointer __left_;
    720 
    721     _LIBCPP_INLINE_VISIBILITY
    722     __tree_end_node() _NOEXCEPT : __left_() {}
    723 };
    724 
    725 template <class _VoidPtr>
    726 class __tree_node_base
    727     : public __tree_node_base_types<_VoidPtr>::__end_node_type
    728 {
    729     typedef __tree_node_base_types<_VoidPtr> _NodeBaseTypes;
    730 
    731 public:
    732     typedef typename _NodeBaseTypes::__node_base_pointer pointer;
    733     typedef typename _NodeBaseTypes::__parent_pointer __parent_pointer;
    734 
    735     pointer          __right_;
    736     __parent_pointer __parent_;
    737     bool __is_black_;
    738 
    739     _LIBCPP_INLINE_VISIBILITY
    740     pointer __parent_unsafe() const { return static_cast<pointer>(__parent_);}
    741 
    742     _LIBCPP_INLINE_VISIBILITY
    743     void __set_parent(pointer __p) {
    744         __parent_ = static_cast<__parent_pointer>(__p);
    745     }
    746 
    747 private:
    748   ~__tree_node_base() _LIBCPP_EQUAL_DELETE;
    749   __tree_node_base(__tree_node_base const&) _LIBCPP_EQUAL_DELETE;
    750   __tree_node_base& operator=(__tree_node_base const&) _LIBCPP_EQUAL_DELETE;
    751 };
    752 
    753 template <class _Tp, class _VoidPtr>
    754 class __tree_node
    755     : public __tree_node_base<_VoidPtr>
    756 {
    757 public:
    758     typedef _Tp __node_value_type;
    759 
    760     __node_value_type __value_;
    761 
    762 private:
    763   ~__tree_node() _LIBCPP_EQUAL_DELETE;
    764   __tree_node(__tree_node const&) _LIBCPP_EQUAL_DELETE;
    765   __tree_node& operator=(__tree_node const&) _LIBCPP_EQUAL_DELETE;
    766 };
    767 
    768 
    769 template <class _Allocator>
    770 class __tree_node_destructor
    771 {
    772     typedef _Allocator                                      allocator_type;
    773     typedef allocator_traits<allocator_type>                __alloc_traits;
    774 
    775 public:
    776     typedef typename __alloc_traits::pointer                pointer;
    777 private:
    778     typedef __tree_node_types<pointer> _NodeTypes;
    779     allocator_type& __na_;
    780 
    781     __tree_node_destructor& operator=(const __tree_node_destructor&);
    782 
    783 public:
    784     bool __value_constructed;
    785 
    786     _LIBCPP_INLINE_VISIBILITY
    787     explicit __tree_node_destructor(allocator_type& __na, bool __val = false) _NOEXCEPT
    788         : __na_(__na),
    789           __value_constructed(__val)
    790         {}
    791 
    792     _LIBCPP_INLINE_VISIBILITY
    793     void operator()(pointer __p) _NOEXCEPT
    794     {
    795         if (__value_constructed)
    796             __alloc_traits::destroy(__na_, _NodeTypes::__get_ptr(__p->__value_));
    797         if (__p)
    798             __alloc_traits::deallocate(__na_, __p, 1);
    799     }
    800 
    801     template <class> friend class __map_node_destructor;
    802 };
    803 
    804 
    805 template <class _Tp, class _NodePtr, class _DiffType>
    806 class _LIBCPP_TEMPLATE_VIS __tree_iterator
    807 {
    808     typedef __tree_node_types<_NodePtr>                     _NodeTypes;
    809     typedef _NodePtr                                        __node_pointer;
    810     typedef typename _NodeTypes::__node_base_pointer        __node_base_pointer;
    811     typedef typename _NodeTypes::__end_node_pointer         __end_node_pointer;
    812     typedef typename _NodeTypes::__iter_pointer             __iter_pointer;
    813     typedef pointer_traits<__node_pointer> __pointer_traits;
    814 
    815     __iter_pointer __ptr_;
    816 
    817 public:
    818     typedef bidirectional_iterator_tag                     iterator_category;
    819     typedef _Tp                                            value_type;
    820     typedef _DiffType                                      difference_type;
    821     typedef value_type&                                    reference;
    822     typedef typename _NodeTypes::__node_value_type_pointer pointer;
    823 
    824     _LIBCPP_INLINE_VISIBILITY __tree_iterator() _NOEXCEPT
    825 #if _LIBCPP_STD_VER > 11
    826     : __ptr_(nullptr)
    827 #endif
    828     {}
    829 
    830     _LIBCPP_INLINE_VISIBILITY reference operator*() const
    831         {return __get_np()->__value_;}
    832     _LIBCPP_INLINE_VISIBILITY pointer operator->() const
    833         {return pointer_traits<pointer>::pointer_to(__get_np()->__value_);}
    834 
    835     _LIBCPP_INLINE_VISIBILITY
    836     __tree_iterator& operator++() {
    837       __ptr_ = static_cast<__iter_pointer>(
    838           __tree_next_iter<__end_node_pointer>(static_cast<__node_base_pointer>(__ptr_)));
    839       return *this;
    840     }
    841     _LIBCPP_INLINE_VISIBILITY
    842     __tree_iterator operator++(int)
    843         {__tree_iterator __t(*this); ++(*this); return __t;}
    844 
    845     _LIBCPP_INLINE_VISIBILITY
    846     __tree_iterator& operator--() {
    847       __ptr_ = static_cast<__iter_pointer>(__tree_prev_iter<__node_base_pointer>(
    848           static_cast<__end_node_pointer>(__ptr_)));
    849       return *this;
    850     }
    851     _LIBCPP_INLINE_VISIBILITY
    852     __tree_iterator operator--(int)
    853         {__tree_iterator __t(*this); --(*this); return __t;}
    854 
    855     friend _LIBCPP_INLINE_VISIBILITY 
    856         bool operator==(const __tree_iterator& __x, const __tree_iterator& __y)
    857         {return __x.__ptr_ == __y.__ptr_;}
    858     friend _LIBCPP_INLINE_VISIBILITY
    859         bool operator!=(const __tree_iterator& __x, const __tree_iterator& __y)
    860         {return !(__x == __y);}
    861 
    862 private:
    863     _LIBCPP_INLINE_VISIBILITY
    864     explicit __tree_iterator(__node_pointer __p) _NOEXCEPT : __ptr_(__p) {}
    865     _LIBCPP_INLINE_VISIBILITY
    866     explicit __tree_iterator(__end_node_pointer __p) _NOEXCEPT : __ptr_(__p) {}
    867     _LIBCPP_INLINE_VISIBILITY
    868     __node_pointer __get_np() const { return static_cast<__node_pointer>(__ptr_); }
    869     template <class, class, class> friend class __tree;
    870     template <class, class, class> friend class _LIBCPP_TEMPLATE_VIS __tree_const_iterator;
    871     template <class> friend class _LIBCPP_TEMPLATE_VIS __map_iterator;
    872     template <class, class, class, class> friend class _LIBCPP_TEMPLATE_VIS map;
    873     template <class, class, class, class> friend class _LIBCPP_TEMPLATE_VIS multimap;
    874     template <class, class, class> friend class _LIBCPP_TEMPLATE_VIS set;
    875     template <class, class, class> friend class _LIBCPP_TEMPLATE_VIS multiset;
    876 };
    877 
    878 template <class _Tp, class _NodePtr, class _DiffType>
    879 class _LIBCPP_TEMPLATE_VIS __tree_const_iterator
    880 {
    881     typedef __tree_node_types<_NodePtr>                     _NodeTypes;
    882     typedef typename _NodeTypes::__node_pointer             __node_pointer;
    883     typedef typename _NodeTypes::__node_base_pointer        __node_base_pointer;
    884     typedef typename _NodeTypes::__end_node_pointer         __end_node_pointer;
    885     typedef typename _NodeTypes::__iter_pointer             __iter_pointer;
    886     typedef pointer_traits<__node_pointer> __pointer_traits;
    887 
    888     __iter_pointer __ptr_;
    889 
    890 public:
    891     typedef bidirectional_iterator_tag                           iterator_category;
    892     typedef _Tp                                                  value_type;
    893     typedef _DiffType                                            difference_type;
    894     typedef const value_type&                                    reference;
    895     typedef typename _NodeTypes::__const_node_value_type_pointer pointer;
    896 
    897     _LIBCPP_INLINE_VISIBILITY __tree_const_iterator() _NOEXCEPT
    898 #if _LIBCPP_STD_VER > 11
    899     : __ptr_(nullptr)
    900 #endif
    901     {}
    902 
    903 private:
    904     typedef __tree_iterator<value_type, __node_pointer, difference_type>
    905                                                            __non_const_iterator;
    906 public:
    907     _LIBCPP_INLINE_VISIBILITY
    908     __tree_const_iterator(__non_const_iterator __p) _NOEXCEPT
    909         : __ptr_(__p.__ptr_) {}
    910 
    911     _LIBCPP_INLINE_VISIBILITY reference operator*() const
    912         {return __get_np()->__value_;}
    913     _LIBCPP_INLINE_VISIBILITY pointer operator->() const
    914         {return pointer_traits<pointer>::pointer_to(__get_np()->__value_);}
    915 
    916     _LIBCPP_INLINE_VISIBILITY
    917     __tree_const_iterator& operator++() {
    918       __ptr_ = static_cast<__iter_pointer>(
    919           __tree_next_iter<__end_node_pointer>(static_cast<__node_base_pointer>(__ptr_)));
    920       return *this;
    921     }
    922 
    923     _LIBCPP_INLINE_VISIBILITY
    924     __tree_const_iterator operator++(int)
    925         {__tree_const_iterator __t(*this); ++(*this); return __t;}
    926 
    927     _LIBCPP_INLINE_VISIBILITY
    928     __tree_const_iterator& operator--() {
    929       __ptr_ = static_cast<__iter_pointer>(__tree_prev_iter<__node_base_pointer>(
    930           static_cast<__end_node_pointer>(__ptr_)));
    931       return *this;
    932     }
    933 
    934     _LIBCPP_INLINE_VISIBILITY
    935     __tree_const_iterator operator--(int)
    936         {__tree_const_iterator __t(*this); --(*this); return __t;}
    937 
    938     friend _LIBCPP_INLINE_VISIBILITY
    939         bool operator==(const __tree_const_iterator& __x, const __tree_const_iterator& __y)
    940         {return __x.__ptr_ == __y.__ptr_;}
    941     friend _LIBCPP_INLINE_VISIBILITY
    942         bool operator!=(const __tree_const_iterator& __x, const __tree_const_iterator& __y)
    943         {return !(__x == __y);}
    944 
    945 private:
    946     _LIBCPP_INLINE_VISIBILITY
    947     explicit __tree_const_iterator(__node_pointer __p) _NOEXCEPT
    948         : __ptr_(__p) {}
    949     _LIBCPP_INLINE_VISIBILITY
    950     explicit __tree_const_iterator(__end_node_pointer __p) _NOEXCEPT
    951         : __ptr_(__p) {}
    952     _LIBCPP_INLINE_VISIBILITY
    953     __node_pointer __get_np() const { return static_cast<__node_pointer>(__ptr_); }
    954 
    955     template <class, class, class> friend class __tree;
    956     template <class, class, class, class> friend class _LIBCPP_TEMPLATE_VIS map;
    957     template <class, class, class, class> friend class _LIBCPP_TEMPLATE_VIS multimap;
    958     template <class, class, class> friend class _LIBCPP_TEMPLATE_VIS set;
    959     template <class, class, class> friend class _LIBCPP_TEMPLATE_VIS multiset;
    960     template <class> friend class _LIBCPP_TEMPLATE_VIS __map_const_iterator;
    961 
    962 };
    963 
    964 #ifndef _LIBCPP_CXX03_LANG
    965 template <class _Tp, class _Compare, class _Allocator>
    966 struct __diagnose_tree_helper {
    967   static constexpr bool __trigger_diagnostics()
    968       _LIBCPP_DIAGNOSE_WARNING(!__invokable<_Compare const&, _Tp const&, _Tp const&>::value,
    969             "the specified comparator type does not provide a const call operator")
    970   { return true; }
    971 };
    972 
    973 template <class _Key, class _Value, class _KeyComp, class _Alloc>
    974 struct __diagnose_tree_helper<
    975     __value_type<_Key, _Value>,
    976     __map_value_compare<_Key, __value_type<_Key, _Value>, _KeyComp>,
    977     _Alloc
    978 > : __diagnose_tree_helper<_Key, _KeyComp, _Alloc>
    979 {
    980 };
    981 #endif // !_LIBCPP_CXX03_LANG
    982 
    983 template <class _Tp, class _Compare, class _Allocator>
    984 class __tree
    985 {
    986 public:
    987     typedef _Tp                                      value_type;
    988     typedef _Compare                                 value_compare;
    989     typedef _Allocator                               allocator_type;
    990 
    991 private:
    992     typedef allocator_traits<allocator_type>         __alloc_traits;
    993     typedef typename __make_tree_node_types<value_type,
    994         typename __alloc_traits::void_pointer>::type
    995                                                     _NodeTypes;
    996     typedef typename _NodeTypes::key_type           key_type;
    997 public:
    998     typedef typename _NodeTypes::__node_value_type      __node_value_type;
    999     typedef typename _NodeTypes::__container_value_type __container_value_type;
   1000 
   1001     typedef typename __alloc_traits::pointer         pointer;
   1002     typedef typename __alloc_traits::const_pointer   const_pointer;
   1003     typedef typename __alloc_traits::size_type       size_type;
   1004     typedef typename __alloc_traits::difference_type difference_type;
   1005 
   1006 public:
   1007     typedef typename _NodeTypes::__void_pointer        __void_pointer;
   1008 
   1009     typedef typename _NodeTypes::__node_type           __node;
   1010     typedef typename _NodeTypes::__node_pointer        __node_pointer;
   1011 
   1012     typedef typename _NodeTypes::__node_base_type      __node_base;
   1013     typedef typename _NodeTypes::__node_base_pointer   __node_base_pointer;
   1014 
   1015     typedef typename _NodeTypes::__end_node_type       __end_node_t;
   1016     typedef typename _NodeTypes::__end_node_pointer    __end_node_ptr;
   1017 
   1018     typedef typename _NodeTypes::__parent_pointer      __parent_pointer;
   1019     typedef typename _NodeTypes::__iter_pointer        __iter_pointer;
   1020 
   1021     typedef typename __rebind_alloc_helper<__alloc_traits, __node>::type __node_allocator;
   1022     typedef allocator_traits<__node_allocator>         __node_traits;
   1023 
   1024 private:
   1025     // check for sane allocator pointer rebinding semantics. Rebinding the
   1026     // allocator for a new pointer type should be exactly the same as rebinding
   1027     // the pointer using 'pointer_traits'.
   1028     static_assert((is_same<__node_pointer, typename __node_traits::pointer>::value),
   1029                   "Allocator does not rebind pointers in a sane manner.");
   1030     typedef typename __rebind_alloc_helper<__node_traits, __node_base>::type
   1031         __node_base_allocator;
   1032     typedef allocator_traits<__node_base_allocator> __node_base_traits;
   1033     static_assert((is_same<__node_base_pointer, typename __node_base_traits::pointer>::value),
   1034                  "Allocator does not rebind pointers in a sane manner.");
   1035 
   1036 private:
   1037     __iter_pointer                                     __begin_node_;
   1038     __compressed_pair<__end_node_t, __node_allocator>  __pair1_;
   1039     __compressed_pair<size_type, value_compare>        __pair3_;
   1040 
   1041 public:
   1042     _LIBCPP_INLINE_VISIBILITY
   1043     __iter_pointer __end_node() _NOEXCEPT
   1044     {
   1045         return static_cast<__iter_pointer>(
   1046                 pointer_traits<__end_node_ptr>::pointer_to(__pair1_.first())
   1047         );
   1048     }
   1049     _LIBCPP_INLINE_VISIBILITY
   1050     __iter_pointer __end_node() const _NOEXCEPT
   1051     {
   1052         return static_cast<__iter_pointer>(
   1053             pointer_traits<__end_node_ptr>::pointer_to(
   1054                 const_cast<__end_node_t&>(__pair1_.first())
   1055             )
   1056         );
   1057     }
   1058     _LIBCPP_INLINE_VISIBILITY
   1059           __node_allocator& __node_alloc() _NOEXCEPT {return __pair1_.second();}
   1060 private:
   1061     _LIBCPP_INLINE_VISIBILITY
   1062     const __node_allocator& __node_alloc() const _NOEXCEPT
   1063         {return __pair1_.second();}
   1064     _LIBCPP_INLINE_VISIBILITY
   1065           __iter_pointer& __begin_node() _NOEXCEPT {return __begin_node_;}
   1066     _LIBCPP_INLINE_VISIBILITY
   1067     const __iter_pointer& __begin_node() const _NOEXCEPT {return __begin_node_;}
   1068 public:
   1069     _LIBCPP_INLINE_VISIBILITY
   1070     allocator_type __alloc() const _NOEXCEPT
   1071         {return allocator_type(__node_alloc());}
   1072 private:
   1073     _LIBCPP_INLINE_VISIBILITY
   1074           size_type& size() _NOEXCEPT {return __pair3_.first();}
   1075 public:
   1076     _LIBCPP_INLINE_VISIBILITY
   1077     const size_type& size() const _NOEXCEPT {return __pair3_.first();}
   1078     _LIBCPP_INLINE_VISIBILITY
   1079           value_compare& value_comp() _NOEXCEPT {return __pair3_.second();}
   1080     _LIBCPP_INLINE_VISIBILITY
   1081     const value_compare& value_comp() const _NOEXCEPT
   1082         {return __pair3_.second();}
   1083 public:
   1084 
   1085     _LIBCPP_INLINE_VISIBILITY
   1086     __node_pointer __root() const _NOEXCEPT
   1087         {return static_cast<__node_pointer>(__end_node()->__left_);}
   1088 
   1089     __node_base_pointer* __root_ptr() const _NOEXCEPT {
   1090         return _VSTD::addressof(__end_node()->__left_);
   1091     }
   1092 
   1093     typedef __tree_iterator<value_type, __node_pointer, difference_type>             iterator;
   1094     typedef __tree_const_iterator<value_type, __node_pointer, difference_type> const_iterator;
   1095 
   1096     explicit __tree(const value_compare& __comp)
   1097         _NOEXCEPT_(
   1098             is_nothrow_default_constructible<__node_allocator>::value &&
   1099             is_nothrow_copy_constructible<value_compare>::value);
   1100     explicit __tree(const allocator_type& __a);
   1101     __tree(const value_compare& __comp, const allocator_type& __a);
   1102     __tree(const __tree& __t);
   1103     __tree& operator=(const __tree& __t);
   1104     template <class _InputIterator>
   1105         void __assign_unique(_InputIterator __first, _InputIterator __last);
   1106     template <class _InputIterator>
   1107         void __assign_multi(_InputIterator __first, _InputIterator __last);
   1108 #ifndef _LIBCPP_HAS_NO_RVALUE_REFERENCES
   1109     __tree(__tree&& __t)
   1110         _NOEXCEPT_(
   1111             is_nothrow_move_constructible<__node_allocator>::value &&
   1112             is_nothrow_move_constructible<value_compare>::value);
   1113     __tree(__tree&& __t, const allocator_type& __a);
   1114     __tree& operator=(__tree&& __t)
   1115         _NOEXCEPT_(
   1116             __node_traits::propagate_on_container_move_assignment::value &&
   1117             is_nothrow_move_assignable<value_compare>::value &&
   1118             is_nothrow_move_assignable<__node_allocator>::value);
   1119 #endif  // _LIBCPP_HAS_NO_RVALUE_REFERENCES
   1120 
   1121     ~__tree();
   1122 
   1123     _LIBCPP_INLINE_VISIBILITY
   1124           iterator begin()  _NOEXCEPT {return       iterator(__begin_node());}
   1125     _LIBCPP_INLINE_VISIBILITY
   1126     const_iterator begin() const _NOEXCEPT {return const_iterator(__begin_node());}
   1127     _LIBCPP_INLINE_VISIBILITY
   1128           iterator end() _NOEXCEPT {return       iterator(__end_node());}
   1129     _LIBCPP_INLINE_VISIBILITY
   1130     const_iterator end() const _NOEXCEPT {return const_iterator(__end_node());}
   1131 
   1132     _LIBCPP_INLINE_VISIBILITY
   1133     size_type max_size() const _NOEXCEPT
   1134         {return std::min<size_type>(
   1135                 __node_traits::max_size(__node_alloc()),
   1136                 numeric_limits<difference_type >::max());}
   1137 
   1138     void clear() _NOEXCEPT;
   1139 
   1140     void swap(__tree& __t)
   1141 #if _LIBCPP_STD_VER <= 11
   1142         _NOEXCEPT_(
   1143             __is_nothrow_swappable<value_compare>::value
   1144             && (!__node_traits::propagate_on_container_swap::value ||
   1145                  __is_nothrow_swappable<__node_allocator>::value)
   1146             );
   1147 #else
   1148         _NOEXCEPT_(__is_nothrow_swappable<value_compare>::value);
   1149 #endif
   1150 
   1151 #ifndef _LIBCPP_CXX03_LANG
   1152     template <class _Key, class ..._Args>
   1153     pair<iterator, bool>
   1154     __emplace_unique_key_args(_Key const&, _Args&&... __args);
   1155     template <class _Key, class ..._Args>
   1156     iterator
   1157     __emplace_hint_unique_key_args(const_iterator, _Key const&, _Args&&...);
   1158 
   1159     template <class... _Args>
   1160     pair<iterator, bool> __emplace_unique_impl(_Args&&... __args);
   1161 
   1162     template <class... _Args>
   1163     iterator __emplace_hint_unique_impl(const_iterator __p, _Args&&... __args);
   1164 
   1165     template <class... _Args>
   1166     iterator __emplace_multi(_Args&&... __args);
   1167 
   1168     template <class... _Args>
   1169     iterator __emplace_hint_multi(const_iterator __p, _Args&&... __args);
   1170 
   1171     template <class _Pp>
   1172     _LIBCPP_INLINE_VISIBILITY
   1173     pair<iterator, bool> __emplace_unique(_Pp&& __x) {
   1174         return __emplace_unique_extract_key(_VSTD::forward<_Pp>(__x),
   1175                                             __can_extract_key<_Pp, key_type>());
   1176     }
   1177 
   1178     template <class _First, class _Second>
   1179     _LIBCPP_INLINE_VISIBILITY
   1180     typename enable_if<
   1181         __can_extract_map_key<_First, key_type, __container_value_type>::value,
   1182         pair<iterator, bool>
   1183     >::type __emplace_unique(_First&& __f, _Second&& __s) {
   1184         return __emplace_unique_key_args(__f, _VSTD::forward<_First>(__f),
   1185                                               _VSTD::forward<_Second>(__s));
   1186     }
   1187 
   1188     template <class... _Args>
   1189     _LIBCPP_INLINE_VISIBILITY
   1190     pair<iterator, bool> __emplace_unique(_Args&&... __args) {
   1191         return __emplace_unique_impl(_VSTD::forward<_Args>(__args)...);
   1192     }
   1193 
   1194     template <class _Pp>
   1195     _LIBCPP_INLINE_VISIBILITY
   1196     pair<iterator, bool>
   1197     __emplace_unique_extract_key(_Pp&& __x, __extract_key_fail_tag) {
   1198       return __emplace_unique_impl(_VSTD::forward<_Pp>(__x));
   1199     }
   1200 
   1201     template <class _Pp>
   1202     _LIBCPP_INLINE_VISIBILITY
   1203     pair<iterator, bool>
   1204     __emplace_unique_extract_key(_Pp&& __x, __extract_key_self_tag) {
   1205       return __emplace_unique_key_args(__x, _VSTD::forward<_Pp>(__x));
   1206     }
   1207 
   1208     template <class _Pp>
   1209     _LIBCPP_INLINE_VISIBILITY
   1210     pair<iterator, bool>
   1211     __emplace_unique_extract_key(_Pp&& __x, __extract_key_first_tag) {
   1212       return __emplace_unique_key_args(__x.first, _VSTD::forward<_Pp>(__x));
   1213     }
   1214 
   1215     template <class _Pp>
   1216     _LIBCPP_INLINE_VISIBILITY
   1217     iterator __emplace_hint_unique(const_iterator __p, _Pp&& __x) {
   1218         return __emplace_hint_unique_extract_key(__p, _VSTD::forward<_Pp>(__x),
   1219                                             __can_extract_key<_Pp, key_type>());
   1220     }
   1221 
   1222     template <class _First, class _Second>
   1223     _LIBCPP_INLINE_VISIBILITY
   1224     typename enable_if<
   1225         __can_extract_map_key<_First, key_type, __container_value_type>::value,
   1226         iterator
   1227     >::type __emplace_hint_unique(const_iterator __p, _First&& __f, _Second&& __s) {
   1228         return __emplace_hint_unique_key_args(__p, __f,
   1229                                               _VSTD::forward<_First>(__f),
   1230                                               _VSTD::forward<_Second>(__s));
   1231     }
   1232 
   1233     template <class... _Args>
   1234     _LIBCPP_INLINE_VISIBILITY
   1235     iterator __emplace_hint_unique(const_iterator __p, _Args&&... __args) {
   1236         return __emplace_hint_unique_impl(__p, _VSTD::forward<_Args>(__args)...);
   1237     }
   1238 
   1239     template <class _Pp>
   1240     _LIBCPP_INLINE_VISIBILITY
   1241     iterator
   1242     __emplace_hint_unique_extract_key(const_iterator __p, _Pp&& __x, __extract_key_fail_tag) {
   1243       return __emplace_hint_unique_impl(__p, _VSTD::forward<_Pp>(__x));
   1244     }
   1245 
   1246     template <class _Pp>
   1247     _LIBCPP_INLINE_VISIBILITY
   1248     iterator
   1249     __emplace_hint_unique_extract_key(const_iterator __p, _Pp&& __x, __extract_key_self_tag) {
   1250       return __emplace_hint_unique_key_args(__p, __x, _VSTD::forward<_Pp>(__x));
   1251     }
   1252 
   1253     template <class _Pp>
   1254     _LIBCPP_INLINE_VISIBILITY
   1255     iterator
   1256     __emplace_hint_unique_extract_key(const_iterator __p, _Pp&& __x, __extract_key_first_tag) {
   1257       return __emplace_hint_unique_key_args(__p, __x.first, _VSTD::forward<_Pp>(__x));
   1258     }
   1259 
   1260 #else
   1261     template <class _Key, class _Args>
   1262     _LIBCPP_INLINE_VISIBILITY
   1263     pair<iterator, bool> __emplace_unique_key_args(_Key const&, _Args& __args);
   1264     template <class _Key, class _Args>
   1265     _LIBCPP_INLINE_VISIBILITY
   1266     iterator __emplace_hint_unique_key_args(const_iterator, _Key const&, _Args&);
   1267 #endif
   1268 
   1269     _LIBCPP_INLINE_VISIBILITY
   1270     pair<iterator, bool> __insert_unique(const __container_value_type& __v) {
   1271         return __emplace_unique_key_args(_NodeTypes::__get_key(__v), __v);
   1272     }
   1273 
   1274     _LIBCPP_INLINE_VISIBILITY
   1275     iterator __insert_unique(const_iterator __p, const __container_value_type& __v) {
   1276         return __emplace_hint_unique_key_args(__p, _NodeTypes::__get_key(__v), __v);
   1277     }
   1278 
   1279 #ifdef _LIBCPP_CXX03_LANG
   1280     _LIBCPP_INLINE_VISIBILITY
   1281     iterator __insert_multi(const __container_value_type& __v);
   1282     _LIBCPP_INLINE_VISIBILITY
   1283     iterator __insert_multi(const_iterator __p, const __container_value_type& __v);
   1284 #else
   1285     _LIBCPP_INLINE_VISIBILITY
   1286     pair<iterator, bool> __insert_unique(__container_value_type&& __v) {
   1287         return __emplace_unique_key_args(_NodeTypes::__get_key(__v), _VSTD::move(__v));
   1288     }
   1289 
   1290     _LIBCPP_INLINE_VISIBILITY
   1291     iterator __insert_unique(const_iterator __p, __container_value_type&& __v) {
   1292         return __emplace_hint_unique_key_args(__p, _NodeTypes::__get_key(__v), _VSTD::move(__v));
   1293     }
   1294 
   1295     template <class _Vp, class = typename enable_if<
   1296             !is_same<typename __unconstref<_Vp>::type,
   1297                      __container_value_type
   1298             >::value
   1299         >::type>
   1300     _LIBCPP_INLINE_VISIBILITY
   1301     pair<iterator, bool> __insert_unique(_Vp&& __v) {
   1302         return __emplace_unique(_VSTD::forward<_Vp>(__v));
   1303     }
   1304 
   1305     template <class _Vp, class = typename enable_if<
   1306             !is_same<typename __unconstref<_Vp>::type,
   1307                      __container_value_type
   1308             >::value
   1309         >::type>
   1310     _LIBCPP_INLINE_VISIBILITY
   1311     iterator __insert_unique(const_iterator __p, _Vp&& __v) {
   1312         return __emplace_hint_unique(__p, _VSTD::forward<_Vp>(__v));
   1313     }
   1314 
   1315     _LIBCPP_INLINE_VISIBILITY
   1316     iterator __insert_multi(__container_value_type&& __v) {
   1317         return __emplace_multi(_VSTD::move(__v));
   1318     }
   1319 
   1320     _LIBCPP_INLINE_VISIBILITY
   1321     iterator __insert_multi(const_iterator __p, __container_value_type&& __v) {
   1322         return __emplace_hint_multi(__p, _VSTD::move(__v));
   1323     }
   1324 
   1325     template <class _Vp>
   1326     _LIBCPP_INLINE_VISIBILITY
   1327     iterator __insert_multi(_Vp&& __v) {
   1328         return __emplace_multi(_VSTD::forward<_Vp>(__v));
   1329     }
   1330 
   1331     template <class _Vp>
   1332     _LIBCPP_INLINE_VISIBILITY
   1333     iterator __insert_multi(const_iterator __p, _Vp&& __v) {
   1334         return __emplace_hint_multi(__p, _VSTD::forward<_Vp>(__v));
   1335     }
   1336 
   1337 #endif // !_LIBCPP_CXX03_LANG
   1338 
   1339     pair<iterator, bool> __node_insert_unique(__node_pointer __nd);
   1340     iterator             __node_insert_unique(const_iterator __p,
   1341                                               __node_pointer __nd);
   1342 
   1343     iterator __node_insert_multi(__node_pointer __nd);
   1344     iterator __node_insert_multi(const_iterator __p, __node_pointer __nd);
   1345 
   1346     iterator erase(const_iterator __p);
   1347     iterator erase(const_iterator __f, const_iterator __l);
   1348     template <class _Key>
   1349         size_type __erase_unique(const _Key& __k);
   1350     template <class _Key>
   1351         size_type __erase_multi(const _Key& __k);
   1352 
   1353     void __insert_node_at(__parent_pointer     __parent,
   1354                           __node_base_pointer& __child,
   1355                           __node_base_pointer __new_node);
   1356 
   1357     template <class _Key>
   1358         iterator find(const _Key& __v);
   1359     template <class _Key>
   1360         const_iterator find(const _Key& __v) const;
   1361 
   1362     template <class _Key>
   1363         size_type __count_unique(const _Key& __k) const;
   1364     template <class _Key>
   1365         size_type __count_multi(const _Key& __k) const;
   1366 
   1367     template <class _Key>
   1368         _LIBCPP_INLINE_VISIBILITY
   1369         iterator lower_bound(const _Key& __v)
   1370             {return __lower_bound(__v, __root(), __end_node());}
   1371     template <class _Key>
   1372         iterator __lower_bound(const _Key& __v,
   1373                                __node_pointer __root,
   1374                                __iter_pointer __result);
   1375     template <class _Key>
   1376         _LIBCPP_INLINE_VISIBILITY
   1377         const_iterator lower_bound(const _Key& __v) const
   1378             {return __lower_bound(__v, __root(), __end_node());}
   1379     template <class _Key>
   1380         const_iterator __lower_bound(const _Key& __v,
   1381                                      __node_pointer __root,
   1382                                      __iter_pointer __result) const;
   1383     template <class _Key>
   1384         _LIBCPP_INLINE_VISIBILITY
   1385         iterator upper_bound(const _Key& __v)
   1386             {return __upper_bound(__v, __root(), __end_node());}
   1387     template <class _Key>
   1388         iterator __upper_bound(const _Key& __v,
   1389                                __node_pointer __root,
   1390                                __iter_pointer __result);
   1391     template <class _Key>
   1392         _LIBCPP_INLINE_VISIBILITY
   1393         const_iterator upper_bound(const _Key& __v) const
   1394             {return __upper_bound(__v, __root(), __end_node());}
   1395     template <class _Key>
   1396         const_iterator __upper_bound(const _Key& __v,
   1397                                      __node_pointer __root,
   1398                                      __iter_pointer __result) const;
   1399     template <class _Key>
   1400         pair<iterator, iterator>
   1401         __equal_range_unique(const _Key& __k);
   1402     template <class _Key>
   1403         pair<const_iterator, const_iterator>
   1404         __equal_range_unique(const _Key& __k) const;
   1405 
   1406     template <class _Key>
   1407         pair<iterator, iterator>
   1408         __equal_range_multi(const _Key& __k);
   1409     template <class _Key>
   1410         pair<const_iterator, const_iterator>
   1411         __equal_range_multi(const _Key& __k) const;
   1412 
   1413     typedef __tree_node_destructor<__node_allocator> _Dp;
   1414     typedef unique_ptr<__node, _Dp> __node_holder;
   1415 
   1416     __node_holder remove(const_iterator __p) _NOEXCEPT;
   1417 private:
   1418     __node_base_pointer&
   1419         __find_leaf_low(__parent_pointer& __parent, const key_type& __v);
   1420     __node_base_pointer&
   1421         __find_leaf_high(__parent_pointer& __parent, const key_type& __v);
   1422     __node_base_pointer&
   1423         __find_leaf(const_iterator __hint,
   1424                     __parent_pointer& __parent, const key_type& __v);
   1425     // FIXME: Make this function const qualified. Unfortunetly doing so
   1426     // breaks existing code which uses non-const callable comparators.
   1427     template <class _Key>
   1428     __node_base_pointer&
   1429         __find_equal(__parent_pointer& __parent, const _Key& __v);
   1430     template <class _Key>
   1431     _LIBCPP_INLINE_VISIBILITY __node_base_pointer&
   1432     __find_equal(__parent_pointer& __parent, const _Key& __v) const {
   1433       return const_cast<__tree*>(this)->__find_equal(__parent, __v);
   1434     }
   1435     template <class _Key>
   1436     __node_base_pointer&
   1437         __find_equal(const_iterator __hint, __parent_pointer& __parent,
   1438                      __node_base_pointer& __dummy,
   1439                      const _Key& __v);
   1440 
   1441 #ifndef _LIBCPP_CXX03_LANG
   1442     template <class ..._Args>
   1443     __node_holder __construct_node(_Args&& ...__args);
   1444 #else
   1445     __node_holder __construct_node(const __container_value_type& __v);
   1446 #endif
   1447 
   1448     void destroy(__node_pointer __nd) _NOEXCEPT;
   1449 
   1450     _LIBCPP_INLINE_VISIBILITY
   1451     void __copy_assign_alloc(const __tree& __t)
   1452         {__copy_assign_alloc(__t, integral_constant<bool,
   1453              __node_traits::propagate_on_container_copy_assignment::value>());}
   1454 
   1455     _LIBCPP_INLINE_VISIBILITY
   1456     void __copy_assign_alloc(const __tree& __t, true_type)
   1457         {
   1458         if (__node_alloc() != __t.__node_alloc())
   1459         	clear();
   1460         __node_alloc() = __t.__node_alloc();
   1461         }
   1462     _LIBCPP_INLINE_VISIBILITY
   1463     void __copy_assign_alloc(const __tree&, false_type) {}
   1464 
   1465     void __move_assign(__tree& __t, false_type);
   1466     void __move_assign(__tree& __t, true_type)
   1467         _NOEXCEPT_(is_nothrow_move_assignable<value_compare>::value &&
   1468                    is_nothrow_move_assignable<__node_allocator>::value);
   1469 
   1470     _LIBCPP_INLINE_VISIBILITY
   1471     void __move_assign_alloc(__tree& __t)
   1472         _NOEXCEPT_(
   1473             !__node_traits::propagate_on_container_move_assignment::value ||
   1474             is_nothrow_move_assignable<__node_allocator>::value)
   1475         {__move_assign_alloc(__t, integral_constant<bool,
   1476              __node_traits::propagate_on_container_move_assignment::value>());}
   1477 
   1478     _LIBCPP_INLINE_VISIBILITY
   1479     void __move_assign_alloc(__tree& __t, true_type)
   1480         _NOEXCEPT_(is_nothrow_move_assignable<__node_allocator>::value)
   1481         {__node_alloc() = _VSTD::move(__t.__node_alloc());}
   1482     _LIBCPP_INLINE_VISIBILITY
   1483     void __move_assign_alloc(__tree&, false_type) _NOEXCEPT {}
   1484 
   1485     __node_pointer __detach();
   1486     static __node_pointer __detach(__node_pointer);
   1487 
   1488     template <class, class, class, class> friend class _LIBCPP_TEMPLATE_VIS map;
   1489     template <class, class, class, class> friend class _LIBCPP_TEMPLATE_VIS multimap;
   1490 };
   1491 
   1492 template <class _Tp, class _Compare, class _Allocator>
   1493 __tree<_Tp, _Compare, _Allocator>::__tree(const value_compare& __comp)
   1494         _NOEXCEPT_(
   1495             is_nothrow_default_constructible<__node_allocator>::value &&
   1496             is_nothrow_copy_constructible<value_compare>::value)
   1497     : __pair3_(0, __comp)
   1498 {
   1499     __begin_node() = __end_node();
   1500 }
   1501 
   1502 template <class _Tp, class _Compare, class _Allocator>
   1503 __tree<_Tp, _Compare, _Allocator>::__tree(const allocator_type& __a)
   1504     : __begin_node_(__iter_pointer()),
   1505       __pair1_(__node_allocator(__a)),
   1506       __pair3_(0)
   1507 {
   1508     __begin_node() = __end_node();
   1509 }
   1510 
   1511 template <class _Tp, class _Compare, class _Allocator>
   1512 __tree<_Tp, _Compare, _Allocator>::__tree(const value_compare& __comp,
   1513                                            const allocator_type& __a)
   1514     : __begin_node_(__iter_pointer()),
   1515       __pair1_(__node_allocator(__a)),
   1516       __pair3_(0, __comp)
   1517 {
   1518     __begin_node() = __end_node();
   1519 }
   1520 
   1521 // Precondition:  size() != 0
   1522 template <class _Tp, class _Compare, class _Allocator>
   1523 typename __tree<_Tp, _Compare, _Allocator>::__node_pointer
   1524 __tree<_Tp, _Compare, _Allocator>::__detach()
   1525 {
   1526     __node_pointer __cache = static_cast<__node_pointer>(__begin_node());
   1527     __begin_node() = __end_node();
   1528     __end_node()->__left_->__parent_ = nullptr;
   1529     __end_node()->__left_ = nullptr;
   1530     size() = 0;
   1531     // __cache->__left_ == nullptr
   1532     if (__cache->__right_ != nullptr)
   1533         __cache = static_cast<__node_pointer>(__cache->__right_);
   1534     // __cache->__left_ == nullptr
   1535     // __cache->__right_ == nullptr
   1536     return __cache;
   1537 }
   1538 
   1539 // Precondition:  __cache != nullptr
   1540 //    __cache->left_ == nullptr
   1541 //    __cache->right_ == nullptr
   1542 //    This is no longer a red-black tree
   1543 template <class _Tp, class _Compare, class _Allocator>
   1544 typename __tree<_Tp, _Compare, _Allocator>::__node_pointer
   1545 __tree<_Tp, _Compare, _Allocator>::__detach(__node_pointer __cache)
   1546 {
   1547     if (__cache->__parent_ == nullptr)
   1548         return nullptr;
   1549     if (__tree_is_left_child(static_cast<__node_base_pointer>(__cache)))
   1550     {
   1551         __cache->__parent_->__left_ = nullptr;
   1552         __cache = static_cast<__node_pointer>(__cache->__parent_);
   1553         if (__cache->__right_ == nullptr)
   1554             return __cache;
   1555         return static_cast<__node_pointer>(__tree_leaf(__cache->__right_));
   1556     }
   1557     // __cache is right child
   1558     __cache->__parent_unsafe()->__right_ = nullptr;
   1559     __cache = static_cast<__node_pointer>(__cache->__parent_);
   1560     if (__cache->__left_ == nullptr)
   1561         return __cache;
   1562     return static_cast<__node_pointer>(__tree_leaf(__cache->__left_));
   1563 }
   1564 
   1565 template <class _Tp, class _Compare, class _Allocator>
   1566 __tree<_Tp, _Compare, _Allocator>&
   1567 __tree<_Tp, _Compare, _Allocator>::operator=(const __tree& __t)
   1568 {
   1569     if (this != &__t)
   1570     {
   1571         value_comp() = __t.value_comp();
   1572         __copy_assign_alloc(__t);
   1573         __assign_multi(__t.begin(), __t.end());
   1574     }
   1575     return *this;
   1576 }
   1577 
   1578 template <class _Tp, class _Compare, class _Allocator>
   1579 template <class _InputIterator>
   1580 void
   1581 __tree<_Tp, _Compare, _Allocator>::__assign_unique(_InputIterator __first, _InputIterator __last)
   1582 {
   1583     typedef iterator_traits<_InputIterator> _ITraits;
   1584     typedef typename _ITraits::value_type _ItValueType;
   1585     static_assert((is_same<_ItValueType, __container_value_type>::value),
   1586                   "__assign_unique may only be called with the containers value type");
   1587 
   1588     if (size() != 0)
   1589     {
   1590         __node_pointer __cache = __detach();
   1591 #ifndef _LIBCPP_NO_EXCEPTIONS
   1592         try
   1593         {
   1594 #endif  // _LIBCPP_NO_EXCEPTIONS
   1595             for (; __cache != nullptr && __first != __last; ++__first)
   1596             {
   1597                 __cache->__value_ = *__first;
   1598                 __node_pointer __next = __detach(__cache);
   1599                 __node_insert_unique(__cache);
   1600                 __cache = __next;
   1601             }
   1602 #ifndef _LIBCPP_NO_EXCEPTIONS
   1603         }
   1604         catch (...)
   1605         {
   1606             while (__cache->__parent_ != nullptr)
   1607                 __cache = static_cast<__node_pointer>(__cache->__parent_);
   1608             destroy(__cache);
   1609             throw;
   1610         }
   1611 #endif  // _LIBCPP_NO_EXCEPTIONS
   1612         if (__cache != nullptr)
   1613         {
   1614             while (__cache->__parent_ != nullptr)
   1615                 __cache = static_cast<__node_pointer>(__cache->__parent_);
   1616             destroy(__cache);
   1617         }
   1618     }
   1619     for (; __first != __last; ++__first)
   1620         __insert_unique(*__first);
   1621 }
   1622 
   1623 template <class _Tp, class _Compare, class _Allocator>
   1624 template <class _InputIterator>
   1625 void
   1626 __tree<_Tp, _Compare, _Allocator>::__assign_multi(_InputIterator __first, _InputIterator __last)
   1627 {
   1628     typedef iterator_traits<_InputIterator> _ITraits;
   1629     typedef typename _ITraits::value_type _ItValueType;
   1630     static_assert((is_same<_ItValueType, __container_value_type>::value ||
   1631                   is_same<_ItValueType, __node_value_type>::value),
   1632                   "__assign_multi may only be called with the containers value type"
   1633                   " or the nodes value type");
   1634     if (size() != 0)
   1635     {
   1636         __node_pointer __cache = __detach();
   1637 #ifndef _LIBCPP_NO_EXCEPTIONS
   1638         try
   1639         {
   1640 #endif  // _LIBCPP_NO_EXCEPTIONS
   1641             for (; __cache != nullptr && __first != __last; ++__first)
   1642             {
   1643                 __cache->__value_ = *__first;
   1644                 __node_pointer __next = __detach(__cache);
   1645                 __node_insert_multi(__cache);
   1646                 __cache = __next;
   1647             }
   1648 #ifndef _LIBCPP_NO_EXCEPTIONS
   1649         }
   1650         catch (...)
   1651         {
   1652             while (__cache->__parent_ != nullptr)
   1653                 __cache = static_cast<__node_pointer>(__cache->__parent_);
   1654             destroy(__cache);
   1655             throw;
   1656         }
   1657 #endif  // _LIBCPP_NO_EXCEPTIONS
   1658         if (__cache != nullptr)
   1659         {
   1660             while (__cache->__parent_ != nullptr)
   1661                 __cache = static_cast<__node_pointer>(__cache->__parent_);
   1662             destroy(__cache);
   1663         }
   1664     }
   1665     for (; __first != __last; ++__first)
   1666         __insert_multi(_NodeTypes::__get_value(*__first));
   1667 }
   1668 
   1669 template <class _Tp, class _Compare, class _Allocator>
   1670 __tree<_Tp, _Compare, _Allocator>::__tree(const __tree& __t)
   1671     : __begin_node_(__iter_pointer()),
   1672       __pair1_(__node_traits::select_on_container_copy_construction(__t.__node_alloc())),
   1673       __pair3_(0, __t.value_comp())
   1674 {
   1675     __begin_node() = __end_node();
   1676 }
   1677 
   1678 #ifndef _LIBCPP_HAS_NO_RVALUE_REFERENCES
   1679 
   1680 template <class _Tp, class _Compare, class _Allocator>
   1681 __tree<_Tp, _Compare, _Allocator>::__tree(__tree&& __t)
   1682     _NOEXCEPT_(
   1683         is_nothrow_move_constructible<__node_allocator>::value &&
   1684         is_nothrow_move_constructible<value_compare>::value)
   1685     : __begin_node_(_VSTD::move(__t.__begin_node_)),
   1686       __pair1_(_VSTD::move(__t.__pair1_)),
   1687       __pair3_(_VSTD::move(__t.__pair3_))
   1688 {
   1689     if (size() == 0)
   1690         __begin_node() = __end_node();
   1691     else
   1692     {
   1693         __end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__end_node());
   1694         __t.__begin_node() = __t.__end_node();
   1695         __t.__end_node()->__left_ = nullptr;
   1696         __t.size() = 0;
   1697     }
   1698 }
   1699 
   1700 template <class _Tp, class _Compare, class _Allocator>
   1701 __tree<_Tp, _Compare, _Allocator>::__tree(__tree&& __t, const allocator_type& __a)
   1702     : __pair1_(__node_allocator(__a)),
   1703       __pair3_(0, _VSTD::move(__t.value_comp()))
   1704 {
   1705     if (__a == __t.__alloc())
   1706     {
   1707         if (__t.size() == 0)
   1708             __begin_node() = __end_node();
   1709         else
   1710         {
   1711             __begin_node() = __t.__begin_node();
   1712             __end_node()->__left_ = __t.__end_node()->__left_;
   1713             __end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__end_node());
   1714             size() = __t.size();
   1715             __t.__begin_node() = __t.__end_node();
   1716             __t.__end_node()->__left_ = nullptr;
   1717             __t.size() = 0;
   1718         }
   1719     }
   1720     else
   1721     {
   1722         __begin_node() = __end_node();
   1723     }
   1724 }
   1725 
   1726 template <class _Tp, class _Compare, class _Allocator>
   1727 void
   1728 __tree<_Tp, _Compare, _Allocator>::__move_assign(__tree& __t, true_type)
   1729     _NOEXCEPT_(is_nothrow_move_assignable<value_compare>::value &&
   1730                is_nothrow_move_assignable<__node_allocator>::value)
   1731 {
   1732     destroy(static_cast<__node_pointer>(__end_node()->__left_));
   1733     __begin_node_ = __t.__begin_node_;
   1734     __pair1_.first() = __t.__pair1_.first();
   1735     __move_assign_alloc(__t);
   1736     __pair3_ = _VSTD::move(__t.__pair3_);
   1737     if (size() == 0)
   1738         __begin_node() = __end_node();
   1739     else
   1740     {
   1741         __end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__end_node());
   1742         __t.__begin_node() = __t.__end_node();
   1743         __t.__end_node()->__left_ = nullptr;
   1744         __t.size() = 0;
   1745     }
   1746 }
   1747 
   1748 template <class _Tp, class _Compare, class _Allocator>
   1749 void
   1750 __tree<_Tp, _Compare, _Allocator>::__move_assign(__tree& __t, false_type)
   1751 {
   1752     if (__node_alloc() == __t.__node_alloc())
   1753         __move_assign(__t, true_type());
   1754     else
   1755     {
   1756         value_comp() = _VSTD::move(__t.value_comp());
   1757         const_iterator __e = end();
   1758         if (size() != 0)
   1759         {
   1760             __node_pointer __cache = __detach();
   1761 #ifndef _LIBCPP_NO_EXCEPTIONS
   1762             try
   1763             {
   1764 #endif  // _LIBCPP_NO_EXCEPTIONS
   1765                 while (__cache != nullptr && __t.size() != 0)
   1766                 {
   1767                     __cache->__value_ = _VSTD::move(__t.remove(__t.begin())->__value_);
   1768                     __node_pointer __next = __detach(__cache);
   1769                     __node_insert_multi(__cache);
   1770                     __cache = __next;
   1771                 }
   1772 #ifndef _LIBCPP_NO_EXCEPTIONS
   1773             }
   1774             catch (...)
   1775             {
   1776                 while (__cache->__parent_ != nullptr)
   1777                     __cache = static_cast<__node_pointer>(__cache->__parent_);
   1778                 destroy(__cache);
   1779                 throw;
   1780             }
   1781 #endif  // _LIBCPP_NO_EXCEPTIONS
   1782             if (__cache != nullptr)
   1783             {
   1784                 while (__cache->__parent_ != nullptr)
   1785                     __cache = static_cast<__node_pointer>(__cache->__parent_);
   1786                 destroy(__cache);
   1787             }
   1788         }
   1789         while (__t.size() != 0)
   1790             __insert_multi(__e, _NodeTypes::__move(__t.remove(__t.begin())->__value_));
   1791     }
   1792 }
   1793 
   1794 template <class _Tp, class _Compare, class _Allocator>
   1795 __tree<_Tp, _Compare, _Allocator>&
   1796 __tree<_Tp, _Compare, _Allocator>::operator=(__tree&& __t)
   1797     _NOEXCEPT_(
   1798         __node_traits::propagate_on_container_move_assignment::value &&
   1799         is_nothrow_move_assignable<value_compare>::value &&
   1800         is_nothrow_move_assignable<__node_allocator>::value)
   1801         
   1802 {
   1803     __move_assign(__t, integral_constant<bool,
   1804                   __node_traits::propagate_on_container_move_assignment::value>());
   1805     return *this;
   1806 }
   1807 
   1808 #endif  // _LIBCPP_HAS_NO_RVALUE_REFERENCES
   1809 
   1810 template <class _Tp, class _Compare, class _Allocator>
   1811 __tree<_Tp, _Compare, _Allocator>::~__tree()
   1812 {
   1813     static_assert((is_copy_constructible<value_compare>::value),
   1814                  "Comparator must be copy-constructible.");
   1815 #ifndef _LIBCPP_CXX03_LANG
   1816     static_assert((__diagnose_tree_helper<_Tp, _Compare, _Allocator>::
   1817                      __trigger_diagnostics()), "");
   1818 #endif
   1819   destroy(__root());
   1820 }
   1821 
   1822 template <class _Tp, class _Compare, class _Allocator>
   1823 void
   1824 __tree<_Tp, _Compare, _Allocator>::destroy(__node_pointer __nd) _NOEXCEPT
   1825 {
   1826     if (__nd != nullptr)
   1827     {
   1828         destroy(static_cast<__node_pointer>(__nd->__left_));
   1829         destroy(static_cast<__node_pointer>(__nd->__right_));
   1830         __node_allocator& __na = __node_alloc();
   1831         __node_traits::destroy(__na, _NodeTypes::__get_ptr(__nd->__value_));
   1832         __node_traits::deallocate(__na, __nd, 1);
   1833     }
   1834 }
   1835 
   1836 template <class _Tp, class _Compare, class _Allocator>
   1837 void
   1838 __tree<_Tp, _Compare, _Allocator>::swap(__tree& __t)
   1839 #if _LIBCPP_STD_VER <= 11
   1840         _NOEXCEPT_(
   1841             __is_nothrow_swappable<value_compare>::value
   1842             && (!__node_traits::propagate_on_container_swap::value ||
   1843                  __is_nothrow_swappable<__node_allocator>::value)
   1844             )
   1845 #else
   1846         _NOEXCEPT_(__is_nothrow_swappable<value_compare>::value)
   1847 #endif
   1848 {
   1849     using _VSTD::swap;
   1850     swap(__begin_node_, __t.__begin_node_);
   1851     swap(__pair1_.first(), __t.__pair1_.first());
   1852     __swap_allocator(__node_alloc(), __t.__node_alloc());
   1853     __pair3_.swap(__t.__pair3_);
   1854     if (size() == 0)
   1855         __begin_node() = __end_node();
   1856     else
   1857         __end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__end_node());
   1858     if (__t.size() == 0)
   1859         __t.__begin_node() = __t.__end_node();
   1860     else
   1861         __t.__end_node()->__left_->__parent_ = static_cast<__parent_pointer>(__t.__end_node());
   1862 }
   1863 
   1864 template <class _Tp, class _Compare, class _Allocator>
   1865 void
   1866 __tree<_Tp, _Compare, _Allocator>::clear() _NOEXCEPT
   1867 {
   1868     destroy(__root());
   1869     size() = 0;
   1870     __begin_node() = __end_node();
   1871     __end_node()->__left_ = nullptr;
   1872 }
   1873 
   1874 // Find lower_bound place to insert
   1875 // Set __parent to parent of null leaf
   1876 // Return reference to null leaf
   1877 template <class _Tp, class _Compare, class _Allocator>
   1878 typename __tree<_Tp, _Compare, _Allocator>::__node_base_pointer&
   1879 __tree<_Tp, _Compare, _Allocator>::__find_leaf_low(__parent_pointer& __parent,
   1880                                                    const key_type& __v)
   1881 {
   1882     __node_pointer __nd = __root();
   1883     if (__nd != nullptr)
   1884     {
   1885         while (true)
   1886         {
   1887             if (value_comp()(__nd->__value_, __v))
   1888             {
   1889                 if (__nd->__right_ != nullptr)
   1890                     __nd = static_cast<__node_pointer>(__nd->__right_);
   1891                 else
   1892                 {
   1893                     __parent = static_cast<__parent_pointer>(__nd);
   1894                     return __nd->__right_;
   1895                 }
   1896             }
   1897             else
   1898             {
   1899                 if (__nd->__left_ != nullptr)
   1900                     __nd = static_cast<__node_pointer>(__nd->__left_);
   1901                 else
   1902                 {
   1903                     __parent = static_cast<__parent_pointer>(__nd);
   1904                     return __parent->__left_;
   1905                 }
   1906             }
   1907         }
   1908     }
   1909     __parent = static_cast<__parent_pointer>(__end_node());
   1910     return __parent->__left_;
   1911 }
   1912 
   1913 // Find upper_bound place to insert
   1914 // Set __parent to parent of null leaf
   1915 // Return reference to null leaf
   1916 template <class _Tp, class _Compare, class _Allocator>
   1917 typename __tree<_Tp, _Compare, _Allocator>::__node_base_pointer&
   1918 __tree<_Tp, _Compare, _Allocator>::__find_leaf_high(__parent_pointer& __parent,
   1919                                                     const key_type& __v)
   1920 {
   1921     __node_pointer __nd = __root();
   1922     if (__nd != nullptr)
   1923     {
   1924         while (true)
   1925         {
   1926             if (value_comp()(__v, __nd->__value_))
   1927             {
   1928                 if (__nd->__left_ != nullptr)
   1929                     __nd = static_cast<__node_pointer>(__nd->__left_);
   1930                 else
   1931                 {
   1932                     __parent = static_cast<__parent_pointer>(__nd);
   1933                     return __parent->__left_;
   1934                 }
   1935             }
   1936             else
   1937             {
   1938                 if (__nd->__right_ != nullptr)
   1939                     __nd = static_cast<__node_pointer>(__nd->__right_);
   1940                 else
   1941                 {
   1942                     __parent = static_cast<__parent_pointer>(__nd);
   1943                     return __nd->__right_;
   1944                 }
   1945             }
   1946         }
   1947     }
   1948     __parent = static_cast<__parent_pointer>(__end_node());
   1949     return __parent->__left_;
   1950 }
   1951 
   1952 // Find leaf place to insert closest to __hint
   1953 // First check prior to __hint.
   1954 // Next check after __hint.
   1955 // Next do O(log N) search.
   1956 // Set __parent to parent of null leaf
   1957 // Return reference to null leaf
   1958 template <class _Tp, class _Compare, class _Allocator>
   1959 typename __tree<_Tp, _Compare, _Allocator>::__node_base_pointer&
   1960 __tree<_Tp, _Compare, _Allocator>::__find_leaf(const_iterator __hint,
   1961                                                __parent_pointer& __parent,
   1962                                                const key_type& __v)
   1963 {
   1964     if (__hint == end() || !value_comp()(*__hint, __v))  // check before
   1965     {
   1966         // __v <= *__hint
   1967         const_iterator __prior = __hint;
   1968         if (__prior == begin() || !value_comp()(__v, *--__prior))
   1969         {
   1970             // *prev(__hint) <= __v <= *__hint
   1971             if (__hint.__ptr_->__left_ == nullptr)
   1972             {
   1973                 __parent = static_cast<__parent_pointer>(__hint.__ptr_);
   1974                 return __parent->__left_;
   1975             }
   1976             else
   1977             {
   1978                 __parent = static_cast<__parent_pointer>(__prior.__ptr_);
   1979                 return static_cast<__node_base_pointer>(__prior.__ptr_)->__right_;
   1980             }
   1981         }
   1982         // __v < *prev(__hint)
   1983         return __find_leaf_high(__parent, __v);
   1984     }
   1985     // else __v > *__hint
   1986     return __find_leaf_low(__parent, __v);
   1987 }
   1988 
   1989 // Find place to insert if __v doesn't exist
   1990 // Set __parent to parent of null leaf
   1991 // Return reference to null leaf
   1992 // If __v exists, set parent to node of __v and return reference to node of __v
   1993 template <class _Tp, class _Compare, class _Allocator>
   1994 template <class _Key>
   1995 typename __tree<_Tp, _Compare, _Allocator>::__node_base_pointer&
   1996 __tree<_Tp, _Compare, _Allocator>::__find_equal(__parent_pointer& __parent,
   1997                                                 const _Key& __v)
   1998 {
   1999     __node_pointer __nd = __root();
   2000     __node_base_pointer* __nd_ptr = __root_ptr();
   2001     if (__nd != nullptr)
   2002     {
   2003         while (true)
   2004         {
   2005             if (value_comp()(__v, __nd->__value_))
   2006             {
   2007                 if (__nd->__left_ != nullptr) {
   2008                     __nd_ptr = _VSTD::addressof(__nd->__left_);
   2009                     __nd = static_cast<__node_pointer>(__nd->__left_);
   2010                 } else {
   2011                     __parent = static_cast<__parent_pointer>(__nd);
   2012                     return __parent->__left_;
   2013                 }
   2014             }
   2015             else if (value_comp()(__nd->__value_, __v))
   2016             {
   2017                 if (__nd->__right_ != nullptr) {
   2018                     __nd_ptr = _VSTD::addressof(__nd->__right_);
   2019                     __nd = static_cast<__node_pointer>(__nd->__right_);
   2020                 } else {
   2021                     __parent = static_cast<__parent_pointer>(__nd);
   2022                     return __nd->__right_;
   2023                 }
   2024             }
   2025             else
   2026             {
   2027                 __parent = static_cast<__parent_pointer>(__nd);
   2028                 return *__nd_ptr;
   2029             }
   2030         }
   2031     }
   2032     __parent = static_cast<__parent_pointer>(__end_node());
   2033     return __parent->__left_;
   2034 }
   2035 
   2036 // Find place to insert if __v doesn't exist
   2037 // First check prior to __hint.
   2038 // Next check after __hint.
   2039 // Next do O(log N) search.
   2040 // Set __parent to parent of null leaf
   2041 // Return reference to null leaf
   2042 // If __v exists, set parent to node of __v and return reference to node of __v
   2043 template <class _Tp, class _Compare, class _Allocator>
   2044 template <class _Key>
   2045 typename __tree<_Tp, _Compare, _Allocator>::__node_base_pointer&
   2046 __tree<_Tp, _Compare, _Allocator>::__find_equal(const_iterator __hint,
   2047                                                 __parent_pointer& __parent,
   2048                                                 __node_base_pointer& __dummy,
   2049                                                 const _Key& __v)
   2050 {
   2051     if (__hint == end() || value_comp()(__v, *__hint))  // check before
   2052     {
   2053         // __v < *__hint
   2054         const_iterator __prior = __hint;
   2055         if (__prior == begin() || value_comp()(*--__prior, __v))
   2056         {
   2057             // *prev(__hint) < __v < *__hint
   2058             if (__hint.__ptr_->__left_ == nullptr)
   2059             {
   2060                 __parent = static_cast<__parent_pointer>(__hint.__ptr_);
   2061                 return __parent->__left_;
   2062             }
   2063             else
   2064             {
   2065                 __parent = static_cast<__parent_pointer>(__prior.__ptr_);
   2066                 return static_cast<__node_base_pointer>(__prior.__ptr_)->__right_;
   2067             }
   2068         }
   2069         // __v <= *prev(__hint)
   2070         return __find_equal(__parent, __v);
   2071     }
   2072     else if (value_comp()(*__hint, __v))  // check after
   2073     {
   2074         // *__hint < __v
   2075         const_iterator __next = _VSTD::next(__hint);
   2076         if (__next == end() || value_comp()(__v, *__next))
   2077         {
   2078             // *__hint < __v < *_VSTD::next(__hint)
   2079             if (__hint.__get_np()->__right_ == nullptr)
   2080             {
   2081                 __parent = static_cast<__parent_pointer>(__hint.__ptr_);
   2082                 return static_cast<__node_base_pointer>(__hint.__ptr_)->__right_;
   2083             }
   2084             else
   2085             {
   2086                 __parent = static_cast<__parent_pointer>(__next.__ptr_);
   2087                 return __parent->__left_;
   2088             }
   2089         }
   2090         // *next(__hint) <= __v
   2091         return __find_equal(__parent, __v);
   2092     }
   2093     // else __v == *__hint
   2094     __parent = static_cast<__parent_pointer>(__hint.__ptr_);
   2095     __dummy = static_cast<__node_base_pointer>(__hint.__ptr_);
   2096     return __dummy;
   2097 }
   2098 
   2099 template <class _Tp, class _Compare, class _Allocator>
   2100 void
   2101 __tree<_Tp, _Compare, _Allocator>::__insert_node_at(__parent_pointer     __parent,
   2102                                                     __node_base_pointer& __child,
   2103                                                     __node_base_pointer  __new_node)
   2104 {
   2105     __new_node->__left_   = nullptr;
   2106     __new_node->__right_  = nullptr;
   2107     __new_node->__parent_ = __parent;
   2108     // __new_node->__is_black_ is initialized in __tree_balance_after_insert
   2109     __child = __new_node;
   2110     if (__begin_node()->__left_ != nullptr)
   2111         __begin_node() = static_cast<__iter_pointer>(__begin_node()->__left_);
   2112     __tree_balance_after_insert(__end_node()->__left_, __child);
   2113     ++size();
   2114 }
   2115 
   2116 #ifndef _LIBCPP_CXX03_LANG
   2117 template <class _Tp, class _Compare, class _Allocator>
   2118 template <class _Key, class... _Args>
   2119 pair<typename __tree<_Tp, _Compare, _Allocator>::iterator, bool>
   2120 __tree<_Tp, _Compare, _Allocator>::__emplace_unique_key_args(_Key const& __k, _Args&&... __args)
   2121 #else
   2122 template <class _Tp, class _Compare, class _Allocator>
   2123 template <class _Key, class _Args>
   2124 pair<typename __tree<_Tp, _Compare, _Allocator>::iterator, bool>
   2125 __tree<_Tp, _Compare, _Allocator>::__emplace_unique_key_args(_Key const& __k, _Args& __args)
   2126 #endif
   2127 {
   2128     __parent_pointer __parent;
   2129     __node_base_pointer& __child = __find_equal(__parent, __k);
   2130     __node_pointer __r = static_cast<__node_pointer>(__child);
   2131     bool __inserted = false;
   2132     if (__child == nullptr)
   2133     {
   2134 #ifndef _LIBCPP_CXX03_LANG
   2135         __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
   2136 #else
   2137         __node_holder __h = __construct_node(__args);
   2138 #endif
   2139         __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
   2140         __r = __h.release();
   2141         __inserted = true;
   2142     }
   2143     return pair<iterator, bool>(iterator(__r), __inserted);
   2144 }
   2145 
   2146 
   2147 #ifndef _LIBCPP_CXX03_LANG
   2148 template <class _Tp, class _Compare, class _Allocator>
   2149 template <class _Key, class... _Args>
   2150 typename __tree<_Tp, _Compare, _Allocator>::iterator
   2151 __tree<_Tp, _Compare, _Allocator>::__emplace_hint_unique_key_args(
   2152     const_iterator __p, _Key const& __k, _Args&&... __args)
   2153 #else
   2154 template <class _Tp, class _Compare, class _Allocator>
   2155 template <class _Key, class _Args>
   2156 typename __tree<_Tp, _Compare, _Allocator>::iterator
   2157 __tree<_Tp, _Compare, _Allocator>::__emplace_hint_unique_key_args(
   2158     const_iterator __p, _Key const& __k, _Args& __args)
   2159 #endif
   2160 {
   2161     __parent_pointer __parent;
   2162     __node_base_pointer __dummy;
   2163     __node_base_pointer& __child = __find_equal(__p, __parent, __dummy, __k);
   2164     __node_pointer __r = static_cast<__node_pointer>(__child);
   2165     if (__child == nullptr)
   2166     {
   2167 #ifndef _LIBCPP_CXX03_LANG
   2168         __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
   2169 #else
   2170         __node_holder __h = __construct_node(__args);
   2171 #endif
   2172         __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
   2173         __r = __h.release();
   2174     }
   2175     return iterator(__r);
   2176 }
   2177 
   2178 
   2179 #ifndef _LIBCPP_CXX03_LANG
   2180 
   2181 template <class _Tp, class _Compare, class _Allocator>
   2182 template <class ..._Args>
   2183 typename __tree<_Tp, _Compare, _Allocator>::__node_holder
   2184 __tree<_Tp, _Compare, _Allocator>::__construct_node(_Args&& ...__args)
   2185 {
   2186     static_assert(!__is_tree_value_type<_Args...>::value,
   2187                   "Cannot construct from __value_type");
   2188     __node_allocator& __na = __node_alloc();
   2189     __node_holder __h(__node_traits::allocate(__na, 1), _Dp(__na));
   2190     __node_traits::construct(__na, _NodeTypes::__get_ptr(__h->__value_), _VSTD::forward<_Args>(__args)...);
   2191     __h.get_deleter().__value_constructed = true;
   2192     return __h;
   2193 }
   2194 
   2195 
   2196 template <class _Tp, class _Compare, class _Allocator>
   2197 template <class... _Args>
   2198 pair<typename __tree<_Tp, _Compare, _Allocator>::iterator, bool>
   2199 __tree<_Tp, _Compare, _Allocator>::__emplace_unique_impl(_Args&&... __args)
   2200 {
   2201     __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
   2202     __parent_pointer __parent;
   2203     __node_base_pointer& __child = __find_equal(__parent, __h->__value_);
   2204     __node_pointer __r = static_cast<__node_pointer>(__child);
   2205     bool __inserted = false;
   2206     if (__child == nullptr)
   2207     {
   2208         __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
   2209         __r = __h.release();
   2210         __inserted = true;
   2211     }
   2212     return pair<iterator, bool>(iterator(__r), __inserted);
   2213 }
   2214 
   2215 template <class _Tp, class _Compare, class _Allocator>
   2216 template <class... _Args>
   2217 typename __tree<_Tp, _Compare, _Allocator>::iterator
   2218 __tree<_Tp, _Compare, _Allocator>::__emplace_hint_unique_impl(const_iterator __p, _Args&&... __args)
   2219 {
   2220     __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
   2221     __parent_pointer __parent;
   2222     __node_base_pointer __dummy;
   2223     __node_base_pointer& __child = __find_equal(__p, __parent, __dummy, __h->__value_);
   2224     __node_pointer __r = static_cast<__node_pointer>(__child);
   2225     if (__child == nullptr)
   2226     {
   2227         __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
   2228         __r = __h.release();
   2229     }
   2230     return iterator(__r);
   2231 }
   2232 
   2233 template <class _Tp, class _Compare, class _Allocator>
   2234 template <class... _Args>
   2235 typename __tree<_Tp, _Compare, _Allocator>::iterator
   2236 __tree<_Tp, _Compare, _Allocator>::__emplace_multi(_Args&&... __args)
   2237 {
   2238     __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
   2239     __parent_pointer __parent;
   2240     __node_base_pointer& __child = __find_leaf_high(__parent, _NodeTypes::__get_key(__h->__value_));
   2241     __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
   2242     return iterator(static_cast<__node_pointer>(__h.release()));
   2243 }
   2244 
   2245 template <class _Tp, class _Compare, class _Allocator>
   2246 template <class... _Args>
   2247 typename __tree<_Tp, _Compare, _Allocator>::iterator
   2248 __tree<_Tp, _Compare, _Allocator>::__emplace_hint_multi(const_iterator __p,
   2249                                                         _Args&&... __args)
   2250 {
   2251     __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
   2252     __parent_pointer __parent;
   2253     __node_base_pointer& __child = __find_leaf(__p, __parent, _NodeTypes::__get_key(__h->__value_));
   2254     __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
   2255     return iterator(static_cast<__node_pointer>(__h.release()));
   2256 }
   2257 
   2258 
   2259 #else  // _LIBCPP_CXX03_LANG
   2260 
   2261 template <class _Tp, class _Compare, class _Allocator>
   2262 typename __tree<_Tp, _Compare, _Allocator>::__node_holder
   2263 __tree<_Tp, _Compare, _Allocator>::__construct_node(const __container_value_type& __v)
   2264 {
   2265     __node_allocator& __na = __node_alloc();
   2266     __node_holder __h(__node_traits::allocate(__na, 1), _Dp(__na));
   2267     __node_traits::construct(__na, _NodeTypes::__get_ptr(__h->__value_), __v);
   2268     __h.get_deleter().__value_constructed = true;
   2269     return _LIBCPP_EXPLICIT_MOVE(__h);  // explicitly moved for C++03
   2270 }
   2271 
   2272 #endif  // _LIBCPP_CXX03_LANG
   2273 
   2274 #ifdef _LIBCPP_CXX03_LANG
   2275 template <class _Tp, class _Compare, class _Allocator>
   2276 typename __tree<_Tp, _Compare, _Allocator>::iterator
   2277 __tree<_Tp, _Compare, _Allocator>::__insert_multi(const __container_value_type& __v)
   2278 {
   2279     __parent_pointer __parent;
   2280     __node_base_pointer& __child = __find_leaf_high(__parent, _NodeTypes::__get_key(__v));
   2281     __node_holder __h = __construct_node(__v);
   2282     __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
   2283     return iterator(__h.release());
   2284 }
   2285 
   2286 template <class _Tp, class _Compare, class _Allocator>
   2287 typename __tree<_Tp, _Compare, _Allocator>::iterator
   2288 __tree<_Tp, _Compare, _Allocator>::__insert_multi(const_iterator __p, const __container_value_type& __v)
   2289 {
   2290     __parent_pointer __parent;
   2291     __node_base_pointer& __child = __find_leaf(__p, __parent, _NodeTypes::__get_key(__v));
   2292     __node_holder __h = __construct_node(__v);
   2293     __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
   2294     return iterator(__h.release());
   2295 }
   2296 #endif
   2297 
   2298 template <class _Tp, class _Compare, class _Allocator>
   2299 pair<typename __tree<_Tp, _Compare, _Allocator>::iterator, bool>
   2300 __tree<_Tp, _Compare, _Allocator>::__node_insert_unique(__node_pointer __nd)
   2301 {
   2302     __parent_pointer __parent;
   2303     __node_base_pointer& __child = __find_equal(__parent, __nd->__value_);
   2304     __node_pointer __r = static_cast<__node_pointer>(__child);
   2305     bool __inserted = false;
   2306     if (__child == nullptr)
   2307     {
   2308         __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__nd));
   2309         __r = __nd;
   2310         __inserted = true;
   2311     }
   2312     return pair<iterator, bool>(iterator(__r), __inserted);
   2313 }
   2314 
   2315 template <class _Tp, class _Compare, class _Allocator>
   2316 typename __tree<_Tp, _Compare, _Allocator>::iterator
   2317 __tree<_Tp, _Compare, _Allocator>::__node_insert_unique(const_iterator __p,
   2318                                                         __node_pointer __nd)
   2319 {
   2320     __parent_pointer __parent;
   2321     __node_base_pointer __dummy;
   2322     __node_base_pointer& __child = __find_equal(__p, __parent, __nd->__value_);
   2323     __node_pointer __r = static_cast<__node_pointer>(__child);
   2324     if (__child == nullptr)
   2325     {
   2326         __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__nd));
   2327         __r = __nd;
   2328     }
   2329     return iterator(__r);
   2330 }
   2331 
   2332 template <class _Tp, class _Compare, class _Allocator>
   2333 typename __tree<_Tp, _Compare, _Allocator>::iterator
   2334 __tree<_Tp, _Compare, _Allocator>::__node_insert_multi(__node_pointer __nd)
   2335 {
   2336     __parent_pointer __parent;
   2337     __node_base_pointer& __child = __find_leaf_high(__parent, _NodeTypes::__get_key(__nd->__value_));
   2338     __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__nd));
   2339     return iterator(__nd);
   2340 }
   2341 
   2342 template <class _Tp, class _Compare, class _Allocator>
   2343 typename __tree<_Tp, _Compare, _Allocator>::iterator
   2344 __tree<_Tp, _Compare, _Allocator>::__node_insert_multi(const_iterator __p,
   2345                                                        __node_pointer __nd)
   2346 {
   2347     __parent_pointer __parent;
   2348     __node_base_pointer& __child = __find_leaf(__p, __parent, _NodeTypes::__get_key(__nd->__value_));
   2349     __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__nd));
   2350     return iterator(__nd);
   2351 }
   2352 
   2353 template <class _Tp, class _Compare, class _Allocator>
   2354 typename __tree<_Tp, _Compare, _Allocator>::iterator
   2355 __tree<_Tp, _Compare, _Allocator>::erase(const_iterator __p)
   2356 {
   2357     __node_pointer __np = __p.__get_np();
   2358     iterator __r(__p.__ptr_);
   2359     ++__r;
   2360     if (__begin_node() == __p.__ptr_)
   2361         __begin_node() = __r.__ptr_;
   2362     --size();
   2363     __node_allocator& __na = __node_alloc();
   2364     __tree_remove(__end_node()->__left_,
   2365                   static_cast<__node_base_pointer>(__np));
   2366     __node_traits::destroy(__na, _NodeTypes::__get_ptr(
   2367         const_cast<__node_value_type&>(*__p)));
   2368     __node_traits::deallocate(__na, __np, 1);
   2369     return __r;
   2370 }
   2371 
   2372 template <class _Tp, class _Compare, class _Allocator>
   2373 typename __tree<_Tp, _Compare, _Allocator>::iterator
   2374 __tree<_Tp, _Compare, _Allocator>::erase(const_iterator __f, const_iterator __l)
   2375 {
   2376     while (__f != __l)
   2377         __f = erase(__f);
   2378     return iterator(__l.__ptr_);
   2379 }
   2380 
   2381 template <class _Tp, class _Compare, class _Allocator>
   2382 template <class _Key>
   2383 typename __tree<_Tp, _Compare, _Allocator>::size_type
   2384 __tree<_Tp, _Compare, _Allocator>::__erase_unique(const _Key& __k)
   2385 {
   2386     iterator __i = find(__k);
   2387     if (__i == end())
   2388         return 0;
   2389     erase(__i);
   2390     return 1;
   2391 }
   2392 
   2393 template <class _Tp, class _Compare, class _Allocator>
   2394 template <class _Key>
   2395 typename __tree<_Tp, _Compare, _Allocator>::size_type
   2396 __tree<_Tp, _Compare, _Allocator>::__erase_multi(const _Key& __k)
   2397 {
   2398     pair<iterator, iterator> __p = __equal_range_multi(__k);
   2399     size_type __r = 0;
   2400     for (; __p.first != __p.second; ++__r)
   2401         __p.first = erase(__p.first);
   2402     return __r;
   2403 }
   2404 
   2405 template <class _Tp, class _Compare, class _Allocator>
   2406 template <class _Key>
   2407 typename __tree<_Tp, _Compare, _Allocator>::iterator
   2408 __tree<_Tp, _Compare, _Allocator>::find(const _Key& __v)
   2409 {
   2410     iterator __p = __lower_bound(__v, __root(), __end_node());
   2411     if (__p != end() && !value_comp()(__v, *__p))
   2412         return __p;
   2413     return end();
   2414 }
   2415 
   2416 template <class _Tp, class _Compare, class _Allocator>
   2417 template <class _Key>
   2418 typename __tree<_Tp, _Compare, _Allocator>::const_iterator
   2419 __tree<_Tp, _Compare, _Allocator>::find(const _Key& __v) const
   2420 {
   2421     const_iterator __p = __lower_bound(__v, __root(), __end_node());
   2422     if (__p != end() && !value_comp()(__v, *__p))
   2423         return __p;
   2424     return end();
   2425 }
   2426 
   2427 template <class _Tp, class _Compare, class _Allocator>
   2428 template <class _Key>
   2429 typename __tree<_Tp, _Compare, _Allocator>::size_type
   2430 __tree<_Tp, _Compare, _Allocator>::__count_unique(const _Key& __k) const
   2431 {
   2432     __node_pointer __rt = __root();
   2433     while (__rt != nullptr)
   2434     {
   2435         if (value_comp()(__k, __rt->__value_))
   2436         {
   2437             __rt = static_cast<__node_pointer>(__rt->__left_);
   2438         }
   2439         else if (value_comp()(__rt->__value_, __k))
   2440             __rt = static_cast<__node_pointer>(__rt->__right_);
   2441         else
   2442             return 1;
   2443     }
   2444     return 0;
   2445 }
   2446 
   2447 template <class _Tp, class _Compare, class _Allocator>
   2448 template <class _Key>
   2449 typename __tree<_Tp, _Compare, _Allocator>::size_type
   2450 __tree<_Tp, _Compare, _Allocator>::__count_multi(const _Key& __k) const
   2451 {
   2452     __iter_pointer __result = __end_node();
   2453     __node_pointer __rt = __root();
   2454     while (__rt != nullptr)
   2455     {
   2456         if (value_comp()(__k, __rt->__value_))
   2457         {
   2458             __result = static_cast<__iter_pointer>(__rt);
   2459             __rt = static_cast<__node_pointer>(__rt->__left_);
   2460         }
   2461         else if (value_comp()(__rt->__value_, __k))
   2462             __rt = static_cast<__node_pointer>(__rt->__right_);
   2463         else
   2464             return _VSTD::distance(
   2465                 __lower_bound(__k, static_cast<__node_pointer>(__rt->__left_), static_cast<__iter_pointer>(__rt)),
   2466                 __upper_bound(__k, static_cast<__node_pointer>(__rt->__right_), __result)
   2467             );
   2468     }
   2469     return 0;
   2470 }
   2471 
   2472 template <class _Tp, class _Compare, class _Allocator>
   2473 template <class _Key>
   2474 typename __tree<_Tp, _Compare, _Allocator>::iterator
   2475 __tree<_Tp, _Compare, _Allocator>::__lower_bound(const _Key& __v,
   2476                                                  __node_pointer __root,
   2477                                                  __iter_pointer __result)
   2478 {
   2479     while (__root != nullptr)
   2480     {
   2481         if (!value_comp()(__root->__value_, __v))
   2482         {
   2483             __result = static_cast<__iter_pointer>(__root);
   2484             __root = static_cast<__node_pointer>(__root->__left_);
   2485         }
   2486         else
   2487             __root = static_cast<__node_pointer>(__root->__right_);
   2488     }
   2489     return iterator(__result);
   2490 }
   2491 
   2492 template <class _Tp, class _Compare, class _Allocator>
   2493 template <class _Key>
   2494 typename __tree<_Tp, _Compare, _Allocator>::const_iterator
   2495 __tree<_Tp, _Compare, _Allocator>::__lower_bound(const _Key& __v,
   2496                                                  __node_pointer __root,
   2497                                                  __iter_pointer __result) const
   2498 {
   2499     while (__root != nullptr)
   2500     {
   2501         if (!value_comp()(__root->__value_, __v))
   2502         {
   2503             __result = static_cast<__iter_pointer>(__root);
   2504             __root = static_cast<__node_pointer>(__root->__left_);
   2505         }
   2506         else
   2507             __root = static_cast<__node_pointer>(__root->__right_);
   2508     }
   2509     return const_iterator(__result);
   2510 }
   2511 
   2512 template <class _Tp, class _Compare, class _Allocator>
   2513 template <class _Key>
   2514 typename __tree<_Tp, _Compare, _Allocator>::iterator
   2515 __tree<_Tp, _Compare, _Allocator>::__upper_bound(const _Key& __v,
   2516                                                  __node_pointer __root,
   2517                                                  __iter_pointer __result)
   2518 {
   2519     while (__root != nullptr)
   2520     {
   2521         if (value_comp()(__v, __root->__value_))
   2522         {
   2523             __result = static_cast<__iter_pointer>(__root);
   2524             __root = static_cast<__node_pointer>(__root->__left_);
   2525         }
   2526         else
   2527             __root = static_cast<__node_pointer>(__root->__right_);
   2528     }
   2529     return iterator(__result);
   2530 }
   2531 
   2532 template <class _Tp, class _Compare, class _Allocator>
   2533 template <class _Key>
   2534 typename __tree<_Tp, _Compare, _Allocator>::const_iterator
   2535 __tree<_Tp, _Compare, _Allocator>::__upper_bound(const _Key& __v,
   2536                                                  __node_pointer __root,
   2537                                                  __iter_pointer __result) const
   2538 {
   2539     while (__root != nullptr)
   2540     {
   2541         if (value_comp()(__v, __root->__value_))
   2542         {
   2543             __result = static_cast<__iter_pointer>(__root);
   2544             __root = static_cast<__node_pointer>(__root->__left_);
   2545         }
   2546         else
   2547             __root = static_cast<__node_pointer>(__root->__right_);
   2548     }
   2549     return const_iterator(__result);
   2550 }
   2551 
   2552 template <class _Tp, class _Compare, class _Allocator>
   2553 template <class _Key>
   2554 pair<typename __tree<_Tp, _Compare, _Allocator>::iterator,
   2555      typename __tree<_Tp, _Compare, _Allocator>::iterator>
   2556 __tree<_Tp, _Compare, _Allocator>::__equal_range_unique(const _Key& __k)
   2557 {
   2558     typedef pair<iterator, iterator> _Pp;
   2559     __iter_pointer __result = __end_node();
   2560     __node_pointer __rt = __root();
   2561     while (__rt != nullptr)
   2562     {
   2563         if (value_comp()(__k, __rt->__value_))
   2564         {
   2565             __result = static_cast<__iter_pointer>(__rt);
   2566             __rt = static_cast<__node_pointer>(__rt->__left_);
   2567         }
   2568         else if (value_comp()(__rt->__value_, __k))
   2569             __rt = static_cast<__node_pointer>(__rt->__right_);
   2570         else
   2571             return _Pp(iterator(__rt),
   2572                       iterator(
   2573                           __rt->__right_ != nullptr ?
   2574                               static_cast<__iter_pointer>(__tree_min(__rt->__right_))
   2575                             : __result));
   2576     }
   2577     return _Pp(iterator(__result), iterator(__result));
   2578 }
   2579 
   2580 template <class _Tp, class _Compare, class _Allocator>
   2581 template <class _Key>
   2582 pair<typename __tree<_Tp, _Compare, _Allocator>::const_iterator,
   2583      typename __tree<_Tp, _Compare, _Allocator>::const_iterator>
   2584 __tree<_Tp, _Compare, _Allocator>::__equal_range_unique(const _Key& __k) const
   2585 {
   2586     typedef pair<const_iterator, const_iterator> _Pp;
   2587     __iter_pointer __result = __end_node();
   2588     __node_pointer __rt = __root();
   2589     while (__rt != nullptr)
   2590     {
   2591         if (value_comp()(__k, __rt->__value_))
   2592         {
   2593             __result = static_cast<__iter_pointer>(__rt);
   2594             __rt = static_cast<__node_pointer>(__rt->__left_);
   2595         }
   2596         else if (value_comp()(__rt->__value_, __k))
   2597             __rt = static_cast<__node_pointer>(__rt->__right_);
   2598         else
   2599             return _Pp(const_iterator(__rt),
   2600                       const_iterator(
   2601                           __rt->__right_ != nullptr ?
   2602                               static_cast<__iter_pointer>(__tree_min(__rt->__right_))
   2603                             : __result));
   2604     }
   2605     return _Pp(const_iterator(__result), const_iterator(__result));
   2606 }
   2607 
   2608 template <class _Tp, class _Compare, class _Allocator>
   2609 template <class _Key>
   2610 pair<typename __tree<_Tp, _Compare, _Allocator>::iterator,
   2611      typename __tree<_Tp, _Compare, _Allocator>::iterator>
   2612 __tree<_Tp, _Compare, _Allocator>::__equal_range_multi(const _Key& __k)
   2613 {
   2614     typedef pair<iterator, iterator> _Pp;
   2615     __iter_pointer __result = __end_node();
   2616     __node_pointer __rt = __root();
   2617     while (__rt != nullptr)
   2618     {
   2619         if (value_comp()(__k, __rt->__value_))
   2620         {
   2621             __result = static_cast<__iter_pointer>(__rt);
   2622             __rt = static_cast<__node_pointer>(__rt->__left_);
   2623         }
   2624         else if (value_comp()(__rt->__value_, __k))
   2625             __rt = static_cast<__node_pointer>(__rt->__right_);
   2626         else
   2627             return _Pp(__lower_bound(__k, static_cast<__node_pointer>(__rt->__left_), static_cast<__iter_pointer>(__rt)),
   2628                       __upper_bound(__k, static_cast<__node_pointer>(__rt->__right_), __result));
   2629     }
   2630     return _Pp(iterator(__result), iterator(__result));
   2631 }
   2632 
   2633 template <class _Tp, class _Compare, class _Allocator>
   2634 template <class _Key>
   2635 pair<typename __tree<_Tp, _Compare, _Allocator>::const_iterator,
   2636      typename __tree<_Tp, _Compare, _Allocator>::const_iterator>
   2637 __tree<_Tp, _Compare, _Allocator>::__equal_range_multi(const _Key& __k) const
   2638 {
   2639     typedef pair<const_iterator, const_iterator> _Pp;
   2640     __iter_pointer __result = __end_node();
   2641     __node_pointer __rt = __root();
   2642     while (__rt != nullptr)
   2643     {
   2644         if (value_comp()(__k, __rt->__value_))
   2645         {
   2646             __result = static_cast<__iter_pointer>(__rt);
   2647             __rt = static_cast<__node_pointer>(__rt->__left_);
   2648         }
   2649         else if (value_comp()(__rt->__value_, __k))
   2650             __rt = static_cast<__node_pointer>(__rt->__right_);
   2651         else
   2652             return _Pp(__lower_bound(__k, static_cast<__node_pointer>(__rt->__left_), static_cast<__iter_pointer>(__rt)),
   2653                       __upper_bound(__k, static_cast<__node_pointer>(__rt->__right_), __result));
   2654     }
   2655     return _Pp(const_iterator(__result), const_iterator(__result));
   2656 }
   2657 
   2658 template <class _Tp, class _Compare, class _Allocator>
   2659 typename __tree<_Tp, _Compare, _Allocator>::__node_holder
   2660 __tree<_Tp, _Compare, _Allocator>::remove(const_iterator __p) _NOEXCEPT
   2661 {
   2662     __node_pointer __np = __p.__get_np();
   2663     if (__begin_node() == __p.__ptr_)
   2664     {
   2665         if (__np->__right_ != nullptr)
   2666             __begin_node() = static_cast<__iter_pointer>(__np->__right_);
   2667         else
   2668             __begin_node() = static_cast<__iter_pointer>(__np->__parent_);
   2669     }
   2670     --size();
   2671     __tree_remove(__end_node()->__left_,
   2672                   static_cast<__node_base_pointer>(__np));
   2673     return __node_holder(__np, _Dp(__node_alloc(), true));
   2674 }
   2675 
   2676 template <class _Tp, class _Compare, class _Allocator>
   2677 inline _LIBCPP_INLINE_VISIBILITY
   2678 void
   2679 swap(__tree<_Tp, _Compare, _Allocator>& __x,
   2680      __tree<_Tp, _Compare, _Allocator>& __y)
   2681     _NOEXCEPT_(_NOEXCEPT_(__x.swap(__y)))
   2682 {
   2683     __x.swap(__y);
   2684 }
   2685 
   2686 _LIBCPP_END_NAMESPACE_STD
   2687 
   2688 #endif  // _LIBCPP___TREE
   2689