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__tree
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__tree
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// -*- C++ -*-
//===----------------------------------------------------------------------===//
//
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
// See https://llvm.org/LICENSE.txt for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
//
//===----------------------------------------------------------------------===//
#ifndef _LIBCPP___TREE
#define _LIBCPP___TREE
#include <__algorithm/min.h>
#include <__assert>
#include <__config>
#include <__functional/invoke.h>
#include <__iterator/distance.h>
#include <__iterator/iterator_traits.h>
#include <__iterator/next.h>
#include <__memory/addressof.h>
#include <__memory/allocator_traits.h>
#include <__memory/compressed_pair.h>
#include <__memory/pointer_traits.h>
#include <__memory/swap_allocator.h>
#include <__memory/unique_ptr.h>
#include <__type_traits/can_extract_key.h>
#include <__type_traits/conditional.h>
#include <__type_traits/is_const.h>
#include <__type_traits/is_constructible.h>
#include <__type_traits/is_nothrow_assignable.h>
#include <__type_traits/is_nothrow_constructible.h>
#include <__type_traits/is_pointer.h>
#include <__type_traits/is_same.h>
#include <__type_traits/is_swappable.h>
#include <__type_traits/remove_const_ref.h>
#include <__type_traits/remove_cvref.h>
#include <__utility/forward.h>
#include <__utility/move.h>
#include <__utility/pair.h>
#include <__utility/swap.h>
#include <limits>
#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
# pragma GCC system_header
#endif
_LIBCPP_PUSH_MACROS
#include <__undef_macros>
_LIBCPP_BEGIN_NAMESPACE_STD
template <class, class, class, class>
class _LIBCPP_TEMPLATE_VIS map;
template <class, class, class, class>
class _LIBCPP_TEMPLATE_VIS multimap;
template <class, class, class>
class _LIBCPP_TEMPLATE_VIS set;
template <class, class, class>
class _LIBCPP_TEMPLATE_VIS multiset;
template <class _Tp, class _Compare, class _Allocator>
class __tree;
template <class _Tp, class _NodePtr, class _DiffType>
class _LIBCPP_TEMPLATE_VIS __tree_iterator;
template <class _Tp, class _ConstNodePtr, class _DiffType>
class _LIBCPP_TEMPLATE_VIS __tree_const_iterator;
template <class _Pointer>
class __tree_end_node;
template <class _VoidPtr>
class __tree_node_base;
template <class _Tp, class _VoidPtr>
class __tree_node;
template <class _Key, class _Value>
struct __value_type;
template <class _Allocator>
class __map_node_destructor;
template <class _TreeIterator>
class _LIBCPP_TEMPLATE_VIS __map_iterator;
template <class _TreeIterator>
class _LIBCPP_TEMPLATE_VIS __map_const_iterator;
/*
_NodePtr algorithms
The algorithms taking _NodePtr are red black tree algorithms. Those
algorithms taking a parameter named __root should assume that __root
points to a proper red black tree (unless otherwise specified).
Each algorithm herein assumes that __root->__parent_ points to a non-null
structure which has a member __left_ which points back to __root. No other
member is read or written to at __root->__parent_.
__root->__parent_ will be referred to below (in comments only) as end_node.
end_node->__left_ is an externably accessible lvalue for __root, and can be
changed by node insertion and removal (without explicit reference to end_node).
All nodes (with the exception of end_node), even the node referred to as
__root, have a non-null __parent_ field.
*/
// Returns: true if __x is a left child of its parent, else false
// Precondition: __x != nullptr.
template <class _NodePtr>
inline _LIBCPP_HIDE_FROM_ABI bool __tree_is_left_child(_NodePtr __x) _NOEXCEPT {
return __x == __x->__parent_->__left_;
}
// Determines if the subtree rooted at __x is a proper red black subtree. If
// __x is a proper subtree, returns the black height (null counts as 1). If
// __x is an improper subtree, returns 0.
template <class _NodePtr>
unsigned __tree_sub_invariant(_NodePtr __x) {
if (__x == nullptr)
return 1;
// parent consistency checked by caller
// check __x->__left_ consistency
if (__x->__left_ != nullptr && __x->__left_->__parent_ != __x)
return 0;
// check __x->__right_ consistency
if (__x->__right_ != nullptr && __x->__right_->__parent_ != __x)
return 0;
// check __x->__left_ != __x->__right_ unless both are nullptr
if (__x->__left_ == __x->__right_ && __x->__left_ != nullptr)
return 0;
// If this is red, neither child can be red
if (!__x->__is_black_) {
if (__x->__left_ && !__x->__left_->__is_black_)
return 0;
if (__x->__right_ && !__x->__right_->__is_black_)
return 0;
}
unsigned __h = std::__tree_sub_invariant(__x->__left_);
if (__h == 0)
return 0; // invalid left subtree
if (__h != std::__tree_sub_invariant(__x->__right_))
return 0; // invalid or different height right subtree
return __h + __x->__is_black_; // return black height of this node
}
// Determines if the red black tree rooted at __root is a proper red black tree.
// __root == nullptr is a proper tree. Returns true is __root is a proper
// red black tree, else returns false.
template <class _NodePtr>
_LIBCPP_HIDE_FROM_ABI bool __tree_invariant(_NodePtr __root) {
if (__root == nullptr)
return true;
// check __x->__parent_ consistency
if (__root->__parent_ == nullptr)
return false;
if (!std::__tree_is_left_child(__root))
return false;
// root must be black
if (!__root->__is_black_)
return false;
// do normal node checks
return std::__tree_sub_invariant(__root) != 0;
}
// Returns: pointer to the left-most node under __x.
template <class _NodePtr>
inline _LIBCPP_HIDE_FROM_ABI _NodePtr __tree_min(_NodePtr __x) _NOEXCEPT {
_LIBCPP_ASSERT_INTERNAL(__x != nullptr, "Root node shouldn't be null");
while (__x->__left_ != nullptr)
__x = __x->__left_;
return __x;
}
// Returns: pointer to the right-most node under __x.
template <class _NodePtr>
inline _LIBCPP_HIDE_FROM_ABI _NodePtr __tree_max(_NodePtr __x) _NOEXCEPT {
_LIBCPP_ASSERT_INTERNAL(__x != nullptr, "Root node shouldn't be null");
while (__x->__right_ != nullptr)
__x = __x->__right_;
return __x;
}
// Returns: pointer to the next in-order node after __x.
template <class _NodePtr>
_LIBCPP_HIDE_FROM_ABI _NodePtr __tree_next(_NodePtr __x) _NOEXCEPT {
_LIBCPP_ASSERT_INTERNAL(__x != nullptr, "node shouldn't be null");
if (__x->__right_ != nullptr)
return std::__tree_min(__x->__right_);
while (!std::__tree_is_left_child(__x))
__x = __x->__parent_unsafe();
return __x->__parent_unsafe();
}
template <class _EndNodePtr, class _NodePtr>
inline _LIBCPP_HIDE_FROM_ABI _EndNodePtr __tree_next_iter(_NodePtr __x) _NOEXCEPT {
_LIBCPP_ASSERT_INTERNAL(__x != nullptr, "node shouldn't be null");
if (__x->__right_ != nullptr)
return static_cast<_EndNodePtr>(std::__tree_min(__x->__right_));
while (!std::__tree_is_left_child(__x))
__x = __x->__parent_unsafe();
return static_cast<_EndNodePtr>(__x->__parent_);
}
// Returns: pointer to the previous in-order node before __x.
// Note: __x may be the end node.
template <class _NodePtr, class _EndNodePtr>
inline _LIBCPP_HIDE_FROM_ABI _NodePtr __tree_prev_iter(_EndNodePtr __x) _NOEXCEPT {
_LIBCPP_ASSERT_INTERNAL(__x != nullptr, "node shouldn't be null");
if (__x->__left_ != nullptr)
return std::__tree_max(__x->__left_);
_NodePtr __xx = static_cast<_NodePtr>(__x);
while (std::__tree_is_left_child(__xx))
__xx = __xx->__parent_unsafe();
return __xx->__parent_unsafe();
}
// Returns: pointer to a node which has no children
template <class _NodePtr>
_LIBCPP_HIDE_FROM_ABI _NodePtr __tree_leaf(_NodePtr __x) _NOEXCEPT {
_LIBCPP_ASSERT_INTERNAL(__x != nullptr, "node shouldn't be null");
while (true) {
if (__x->__left_ != nullptr) {
__x = __x->__left_;
continue;
}
if (__x->__right_ != nullptr) {
__x = __x->__right_;
continue;
}
break;
}
return __x;
}
// Effects: Makes __x->__right_ the subtree root with __x as its left child
// while preserving in-order order.
template <class _NodePtr>
_LIBCPP_HIDE_FROM_ABI void __tree_left_rotate(_NodePtr __x) _NOEXCEPT {
_LIBCPP_ASSERT_INTERNAL(__x != nullptr, "node shouldn't be null");
_LIBCPP_ASSERT_INTERNAL(__x->__right_ != nullptr, "node should have a right child");
_NodePtr __y = __x->__right_;
__x->__right_ = __y->__left_;
if (__x->__right_ != nullptr)
__x->__right_->__set_parent(__x);
__y->__parent_ = __x->__parent_;
if (std::__tree_is_left_child(__x))
__x->__parent_->__left_ = __y;
else
__x->__parent_unsafe()->__right_ = __y;
__y->__left_ = __x;
__x->__set_parent(__y);
}
// Effects: Makes __x->__left_ the subtree root with __x as its right child
// while preserving in-order order.
template <class _NodePtr>
_LIBCPP_HIDE_FROM_ABI void __tree_right_rotate(_NodePtr __x) _NOEXCEPT {
_LIBCPP_ASSERT_INTERNAL(__x != nullptr, "node shouldn't be null");
_LIBCPP_ASSERT_INTERNAL(__x->__left_ != nullptr, "node should have a left child");
_NodePtr __y = __x->__left_;
__x->__left_ = __y->__right_;
if (__x->__left_ != nullptr)
__x->__left_->__set_parent(__x);
__y->__parent_ = __x->__parent_;
if (std::__tree_is_left_child(__x))
__x->__parent_->__left_ = __y;
else
__x->__parent_unsafe()->__right_ = __y;
__y->__right_ = __x;
__x->__set_parent(__y);
}
// Effects: Rebalances __root after attaching __x to a leaf.
// Precondition: __x has no children.
// __x == __root or == a direct or indirect child of __root.
// If __x were to be unlinked from __root (setting __root to
// nullptr if __root == __x), __tree_invariant(__root) == true.
// Postcondition: __tree_invariant(end_node->__left_) == true. end_node->__left_
// may be different than the value passed in as __root.
template <class _NodePtr>
_LIBCPP_HIDE_FROM_ABI void __tree_balance_after_insert(_NodePtr __root, _NodePtr __x) _NOEXCEPT {
_LIBCPP_ASSERT_INTERNAL(__root != nullptr, "Root of the tree shouldn't be null");
_LIBCPP_ASSERT_INTERNAL(__x != nullptr, "Can't attach null node to a leaf");
__x->__is_black_ = __x == __root;
while (__x != __root && !__x->__parent_unsafe()->__is_black_) {
// __x->__parent_ != __root because __x->__parent_->__is_black == false
if (std::__tree_is_left_child(__x->__parent_unsafe())) {
_NodePtr __y = __x->__parent_unsafe()->__parent_unsafe()->__right_;
if (__y != nullptr && !__y->__is_black_) {
__x = __x->__parent_unsafe();
__x->__is_black_ = true;
__x = __x->__parent_unsafe();
__x->__is_black_ = __x == __root;
__y->__is_black_ = true;
} else {
if (!std::__tree_is_left_child(__x)) {
__x = __x->__parent_unsafe();
std::__tree_left_rotate(__x);
}
__x = __x->__parent_unsafe();
__x->__is_black_ = true;
__x = __x->__parent_unsafe();
__x->__is_black_ = false;
std::__tree_right_rotate(__x);
break;
}
} else {
_NodePtr __y = __x->__parent_unsafe()->__parent_->__left_;
if (__y != nullptr && !__y->__is_black_) {
__x = __x->__parent_unsafe();
__x->__is_black_ = true;
__x = __x->__parent_unsafe();
__x->__is_black_ = __x == __root;
__y->__is_black_ = true;
} else {
if (std::__tree_is_left_child(__x)) {
__x = __x->__parent_unsafe();
std::__tree_right_rotate(__x);
}
__x = __x->__parent_unsafe();
__x->__is_black_ = true;
__x = __x->__parent_unsafe();
__x->__is_black_ = false;
std::__tree_left_rotate(__x);
break;
}
}
}
}
// Precondition: __z == __root or == a direct or indirect child of __root.
// Effects: unlinks __z from the tree rooted at __root, rebalancing as needed.
// Postcondition: __tree_invariant(end_node->__left_) == true && end_node->__left_
// nor any of its children refer to __z. end_node->__left_
// may be different than the value passed in as __root.
template <class _NodePtr>
_LIBCPP_HIDE_FROM_ABI void __tree_remove(_NodePtr __root, _NodePtr __z) _NOEXCEPT {
_LIBCPP_ASSERT_INTERNAL(__root != nullptr, "Root node should not be null");
_LIBCPP_ASSERT_INTERNAL(__z != nullptr, "The node to remove should not be null");
_LIBCPP_ASSERT_INTERNAL(std::__tree_invariant(__root), "The tree invariants should hold");
// __z will be removed from the tree. Client still needs to destruct/deallocate it
// __y is either __z, or if __z has two children, __tree_next(__z).
// __y will have at most one child.
// __y will be the initial hole in the tree (make the hole at a leaf)
_NodePtr __y = (__z->__left_ == nullptr || __z->__right_ == nullptr) ? __z : std::__tree_next(__z);
// __x is __y's possibly null single child
_NodePtr __x = __y->__left_ != nullptr ? __y->__left_ : __y->__right_;
// __w is __x's possibly null uncle (will become __x's sibling)
_NodePtr __w = nullptr;
// link __x to __y's parent, and find __w
if (__x != nullptr)
__x->__parent_ = __y->__parent_;
if (std::__tree_is_left_child(__y)) {
__y->__parent_->__left_ = __x;
if (__y != __root)
__w = __y->__parent_unsafe()->__right_;
else
__root = __x; // __w == nullptr
} else {
__y->__parent_unsafe()->__right_ = __x;
// __y can't be root if it is a right child
__w = __y->__parent_->__left_;
}
bool __removed_black = __y->__is_black_;
// If we didn't remove __z, do so now by splicing in __y for __z,
// but copy __z's color. This does not impact __x or __w.
if (__y != __z) {
// __z->__left_ != nulptr but __z->__right_ might == __x == nullptr
__y->__parent_ = __z->__parent_;
if (std::__tree_is_left_child(__z))
__y->__parent_->__left_ = __y;
else
__y->__parent_unsafe()->__right_ = __y;
__y->__left_ = __z->__left_;
__y->__left_->__set_parent(__y);
__y->__right_ = __z->__right_;
if (__y->__right_ != nullptr)
__y->__right_->__set_parent(__y);
__y->__is_black_ = __z->__is_black_;
if (__root == __z)
__root = __y;
}
// There is no need to rebalance if we removed a red, or if we removed
// the last node.
if (__removed_black && __root != nullptr) {
// Rebalance:
// __x has an implicit black color (transferred from the removed __y)
// associated with it, no matter what its color is.
// If __x is __root (in which case it can't be null), it is supposed
// to be black anyway, and if it is doubly black, then the double
// can just be ignored.
// If __x is red (in which case it can't be null), then it can absorb
// the implicit black just by setting its color to black.
// Since __y was black and only had one child (which __x points to), __x
// is either red with no children, else null, otherwise __y would have
// different black heights under left and right pointers.
// if (__x == __root || __x != nullptr && !__x->__is_black_)
if (__x != nullptr)
__x->__is_black_ = true;
else {
// Else __x isn't root, and is "doubly black", even though it may
// be null. __w can not be null here, else the parent would
// see a black height >= 2 on the __x side and a black height
// of 1 on the __w side (__w must be a non-null black or a red
// with a non-null black child).
while (true) {
if (!std::__tree_is_left_child(__w)) // if x is left child
{
if (!__w->__is_black_) {
__w->__is_black_ = true;
__w->__parent_unsafe()->__is_black_ = false;
std::__tree_left_rotate(__w->__parent_unsafe());
// __x is still valid
// reset __root only if necessary
if (__root == __w->__left_)
__root = __w;
// reset sibling, and it still can't be null
__w = __w->__left_->__right_;
}
// __w->__is_black_ is now true, __w may have null children
if ((__w->__left_ == nullptr || __w->__left_->__is_black_) &&
(__w->__right_ == nullptr || __w->__right_->__is_black_)) {
__w->__is_black_ = false;
__x = __w->__parent_unsafe();
// __x can no longer be null
if (__x == __root || !__x->__is_black_) {
__x->__is_black_ = true;
break;
}
// reset sibling, and it still can't be null
__w = std::__tree_is_left_child(__x) ? __x->__parent_unsafe()->__right_ : __x->__parent_->__left_;
// continue;
} else // __w has a red child
{
if (__w->__right_ == nullptr || __w->__right_->__is_black_) {
// __w left child is non-null and red
__w->__left_->__is_black_ = true;
__w->__is_black_ = false;
std::__tree_right_rotate(__w);
// __w is known not to be root, so root hasn't changed
// reset sibling, and it still can't be null
__w = __w->__parent_unsafe();
}
// __w has a right red child, left child may be null
__w->__is_black_ = __w->__parent_unsafe()->__is_black_;
__w->__parent_unsafe()->__is_black_ = true;
__w->__right_->__is_black_ = true;
std::__tree_left_rotate(__w->__parent_unsafe());
break;
}
} else {
if (!__w->__is_black_) {
__w->__is_black_ = true;
__w->__parent_unsafe()->__is_black_ = false;
std::__tree_right_rotate(__w->__parent_unsafe());
// __x is still valid
// reset __root only if necessary
if (__root == __w->__right_)
__root = __w;
// reset sibling, and it still can't be null
__w = __w->__right_->__left_;
}
// __w->__is_black_ is now true, __w may have null children
if ((__w->__left_ == nullptr || __w->__left_->__is_black_) &&
(__w->__right_ == nullptr || __w->__right_->__is_black_)) {
__w->__is_black_ = false;
__x = __w->__parent_unsafe();
// __x can no longer be null
if (!__x->__is_black_ || __x == __root) {
__x->__is_black_ = true;
break;
}
// reset sibling, and it still can't be null
__w = std::__tree_is_left_child(__x) ? __x->__parent_unsafe()->__right_ : __x->__parent_->__left_;
// continue;
} else // __w has a red child
{
if (__w->__left_ == nullptr || __w->__left_->__is_black_) {
// __w right child is non-null and red
__w->__right_->__is_black_ = true;
__w->__is_black_ = false;
std::__tree_left_rotate(__w);
// __w is known not to be root, so root hasn't changed
// reset sibling, and it still can't be null
__w = __w->__parent_unsafe();
}
// __w has a left red child, right child may be null
__w->__is_black_ = __w->__parent_unsafe()->__is_black_;
__w->__parent_unsafe()->__is_black_ = true;
__w->__left_->__is_black_ = true;
std::__tree_right_rotate(__w->__parent_unsafe());
break;
}
}
}
}
}
}
// node traits
template <class _Tp>
struct __is_tree_value_type_imp : false_type {};
template <class _Key, class _Value>
struct __is_tree_value_type_imp<__value_type<_Key, _Value> > : true_type {};
template <class... _Args>
struct __is_tree_value_type : false_type {};
template <class _One>
struct __is_tree_value_type<_One> : __is_tree_value_type_imp<__remove_cvref_t<_One> > {};
template <class _Tp>
struct __tree_key_value_types {
typedef _Tp key_type;
typedef _Tp __node_value_type;
typedef _Tp __container_value_type;
static const bool __is_map = false;
_LIBCPP_HIDE_FROM_ABI static key_type const& __get_key(_Tp const& __v) { return __v; }
_LIBCPP_HIDE_FROM_ABI static __container_value_type const& __get_value(__node_value_type const& __v) { return __v; }
_LIBCPP_HIDE_FROM_ABI static __container_value_type* __get_ptr(__node_value_type& __n) { return std::addressof(__n); }
_LIBCPP_HIDE_FROM_ABI static __container_value_type&& __move(__node_value_type& __v) { return std::move(__v); }
};
template <class _Key, class _Tp>
struct __tree_key_value_types<__value_type<_Key, _Tp> > {
typedef _Key key_type;
typedef _Tp mapped_type;
typedef __value_type<_Key, _Tp> __node_value_type;
typedef pair<const _Key, _Tp> __container_value_type;
typedef __container_value_type __map_value_type;
static const bool __is_map = true;
_LIBCPP_HIDE_FROM_ABI static key_type const& __get_key(__node_value_type const& __t) {
return __t.__get_value().first;
}
template <class _Up, __enable_if_t<__is_same_uncvref<_Up, __container_value_type>::value, int> = 0>
_LIBCPP_HIDE_FROM_ABI static key_type const& __get_key(_Up& __t) {
return __t.first;
}
_LIBCPP_HIDE_FROM_ABI static __container_value_type const& __get_value(__node_value_type const& __t) {
return __t.__get_value();
}
template <class _Up, __enable_if_t<__is_same_uncvref<_Up, __container_value_type>::value, int> = 0>
_LIBCPP_HIDE_FROM_ABI static __container_value_type const& __get_value(_Up& __t) {
return __t;
}
_LIBCPP_HIDE_FROM_ABI static __container_value_type* __get_ptr(__node_value_type& __n) {
return std::addressof(__n.__get_value());
}
_LIBCPP_HIDE_FROM_ABI static pair<key_type&&, mapped_type&&> __move(__node_value_type& __v) { return __v.__move(); }
};
template <class _VoidPtr>
struct __tree_node_base_types {
typedef _VoidPtr __void_pointer;
typedef __tree_node_base<__void_pointer> __node_base_type;
typedef __rebind_pointer_t<_VoidPtr, __node_base_type> __node_base_pointer;
typedef __tree_end_node<__node_base_pointer> __end_node_type;
typedef __rebind_pointer_t<_VoidPtr, __end_node_type> __end_node_pointer;
#if defined(_LIBCPP_ABI_TREE_REMOVE_NODE_POINTER_UB)
typedef __end_node_pointer __parent_pointer;
#else
typedef __conditional_t< is_pointer<__end_node_pointer>::value, __end_node_pointer, __node_base_pointer>
__parent_pointer;
#endif
private:
static_assert((is_same<typename pointer_traits<_VoidPtr>::element_type, void>::value),
"_VoidPtr does not point to unqualified void type");
};
template <class _Tp, class _AllocPtr, class _KVTypes = __tree_key_value_types<_Tp>, bool = _KVTypes::__is_map>
struct __tree_map_pointer_types {};
template <class _Tp, class _AllocPtr, class _KVTypes>
struct __tree_map_pointer_types<_Tp, _AllocPtr, _KVTypes, true> {
typedef typename _KVTypes::__map_value_type _Mv;
typedef __rebind_pointer_t<_AllocPtr, _Mv> __map_value_type_pointer;
typedef __rebind_pointer_t<_AllocPtr, const _Mv> __const_map_value_type_pointer;
};
template <class _NodePtr, class _NodeT = typename pointer_traits<_NodePtr>::element_type>
struct __tree_node_types;
template <class _NodePtr, class _Tp, class _VoidPtr>
struct __tree_node_types<_NodePtr, __tree_node<_Tp, _VoidPtr> >
: public __tree_node_base_types<_VoidPtr>, __tree_key_value_types<_Tp>, __tree_map_pointer_types<_Tp, _VoidPtr> {
typedef __tree_node_base_types<_VoidPtr> __base;
typedef __tree_key_value_types<_Tp> __key_base;
typedef __tree_map_pointer_types<_Tp, _VoidPtr> __map_pointer_base;
public:
typedef typename pointer_traits<_NodePtr>::element_type __node_type;
typedef _NodePtr __node_pointer;
typedef _Tp __node_value_type;
typedef __rebind_pointer_t<_VoidPtr, __node_value_type> __node_value_type_pointer;
typedef __rebind_pointer_t<_VoidPtr, const __node_value_type> __const_node_value_type_pointer;
#if defined(_LIBCPP_ABI_TREE_REMOVE_NODE_POINTER_UB)
typedef typename __base::__end_node_pointer __iter_pointer;
#else
typedef __conditional_t< is_pointer<__node_pointer>::value, typename __base::__end_node_pointer, __node_pointer>
__iter_pointer;
#endif
private:
static_assert(!is_const<__node_type>::value, "_NodePtr should never be a pointer to const");
static_assert((is_same<__rebind_pointer_t<_VoidPtr, __node_type>, _NodePtr>::value),
"_VoidPtr does not rebind to _NodePtr.");
};
template <class _ValueTp, class _VoidPtr>
struct __make_tree_node_types {
typedef __rebind_pointer_t<_VoidPtr, __tree_node<_ValueTp, _VoidPtr> > _NodePtr;
typedef __tree_node_types<_NodePtr> type;
};
// node
template <class _Pointer>
class __tree_end_node {
public:
typedef _Pointer pointer;
pointer __left_;
_LIBCPP_HIDE_FROM_ABI __tree_end_node() _NOEXCEPT : __left_() {}
};
template <class _VoidPtr>
class _LIBCPP_STANDALONE_DEBUG __tree_node_base : public __tree_node_base_types<_VoidPtr>::__end_node_type {
typedef __tree_node_base_types<_VoidPtr> _NodeBaseTypes;
public:
typedef typename _NodeBaseTypes::__node_base_pointer pointer;
typedef typename _NodeBaseTypes::__parent_pointer __parent_pointer;
pointer __right_;
__parent_pointer __parent_;
bool __is_black_;
_LIBCPP_HIDE_FROM_ABI pointer __parent_unsafe() const { return static_cast<pointer>(__parent_); }
_LIBCPP_HIDE_FROM_ABI void __set_parent(pointer __p) { __parent_ = static_cast<__parent_pointer>(__p); }
private:
~__tree_node_base() = delete;
__tree_node_base(__tree_node_base const&) = delete;
__tree_node_base& operator=(__tree_node_base const&) = delete;
};
template <class _Tp, class _VoidPtr>
class _LIBCPP_STANDALONE_DEBUG __tree_node : public __tree_node_base<_VoidPtr> {
public:
typedef _Tp __node_value_type;
__node_value_type __value_;
_LIBCPP_HIDE_FROM_ABI _Tp& __get_value() { return __value_; }
private:
~__tree_node() = delete;
__tree_node(__tree_node const&) = delete;
__tree_node& operator=(__tree_node const&) = delete;
};
template <class _Allocator>
class __tree_node_destructor {
typedef _Allocator allocator_type;
typedef allocator_traits<allocator_type> __alloc_traits;
public:
typedef typename __alloc_traits::pointer pointer;
private:
typedef __tree_node_types<pointer> _NodeTypes;
allocator_type& __na_;
public:
bool __value_constructed;
_LIBCPP_HIDE_FROM_ABI __tree_node_destructor(const __tree_node_destructor&) = default;
__tree_node_destructor& operator=(const __tree_node_destructor&) = delete;
_LIBCPP_HIDE_FROM_ABI explicit __tree_node_destructor(allocator_type& __na, bool __val = false) _NOEXCEPT
: __na_(__na),
__value_constructed(__val) {}
_LIBCPP_HIDE_FROM_ABI void operator()(pointer __p) _NOEXCEPT {
if (__value_constructed)
__alloc_traits::destroy(__na_, _NodeTypes::__get_ptr(__p->__value_));
if (__p)
__alloc_traits::deallocate(__na_, __p, 1);
}
template <class>
friend class __map_node_destructor;
};
#if _LIBCPP_STD_VER >= 17
template <class _NodeType, class _Alloc>
struct __generic_container_node_destructor;
template <class _Tp, class _VoidPtr, class _Alloc>
struct __generic_container_node_destructor<__tree_node<_Tp, _VoidPtr>, _Alloc> : __tree_node_destructor<_Alloc> {
using __tree_node_destructor<_Alloc>::__tree_node_destructor;
};
#endif
template <class _Tp, class _NodePtr, class _DiffType>
class _LIBCPP_TEMPLATE_VIS __tree_iterator {
typedef __tree_node_types<_NodePtr> _NodeTypes;
typedef _NodePtr __node_pointer;
typedef typename _NodeTypes::__node_base_pointer __node_base_pointer;
typedef typename _NodeTypes::__end_node_pointer __end_node_pointer;
typedef typename _NodeTypes::__iter_pointer __iter_pointer;
typedef pointer_traits<__node_pointer> __pointer_traits;
__iter_pointer __ptr_;
public:
typedef bidirectional_iterator_tag iterator_category;
typedef _Tp value_type;
typedef _DiffType difference_type;
typedef value_type& reference;
typedef typename _NodeTypes::__node_value_type_pointer pointer;
_LIBCPP_HIDE_FROM_ABI __tree_iterator() _NOEXCEPT
#if _LIBCPP_STD_VER >= 14
: __ptr_(nullptr)
#endif
{
}
_LIBCPP_HIDE_FROM_ABI reference operator*() const { return __get_np()->__value_; }
_LIBCPP_HIDE_FROM_ABI pointer operator->() const { return pointer_traits<pointer>::pointer_to(__get_np()->__value_); }
_LIBCPP_HIDE_FROM_ABI __tree_iterator& operator++() {
__ptr_ = static_cast<__iter_pointer>(
std::__tree_next_iter<__end_node_pointer>(static_cast<__node_base_pointer>(__ptr_)));
return *this;
}
_LIBCPP_HIDE_FROM_ABI __tree_iterator operator++(int) {
__tree_iterator __t(*this);
++(*this);
return __t;
}
_LIBCPP_HIDE_FROM_ABI __tree_iterator& operator--() {
__ptr_ = static_cast<__iter_pointer>(
std::__tree_prev_iter<__node_base_pointer>(static_cast<__end_node_pointer>(__ptr_)));
return *this;
}
_LIBCPP_HIDE_FROM_ABI __tree_iterator operator--(int) {
__tree_iterator __t(*this);
--(*this);
return __t;
}
friend _LIBCPP_HIDE_FROM_ABI bool operator==(const __tree_iterator& __x, const __tree_iterator& __y) {
return __x.__ptr_ == __y.__ptr_;
}
friend _LIBCPP_HIDE_FROM_ABI bool operator!=(const __tree_iterator& __x, const __tree_iterator& __y) {
return !(__x == __y);
}
private:
_LIBCPP_HIDE_FROM_ABI explicit __tree_iterator(__node_pointer __p) _NOEXCEPT : __ptr_(__p) {}
_LIBCPP_HIDE_FROM_ABI explicit __tree_iterator(__end_node_pointer __p) _NOEXCEPT : __ptr_(__p) {}
_LIBCPP_HIDE_FROM_ABI __node_pointer __get_np() const { return static_cast<__node_pointer>(__ptr_); }
template <class, class, class>
friend class __tree;
template <class, class, class>
friend class _LIBCPP_TEMPLATE_VIS __tree_const_iterator;
template <class>
friend class _LIBCPP_TEMPLATE_VIS __map_iterator;
template <class, class, class, class>
friend class _LIBCPP_TEMPLATE_VIS map;
template <class, class, class, class>
friend class _LIBCPP_TEMPLATE_VIS multimap;
template <class, class, class>
friend class _LIBCPP_TEMPLATE_VIS set;
template <class, class, class>
friend class _LIBCPP_TEMPLATE_VIS multiset;
};
template <class _Tp, class _NodePtr, class _DiffType>
class _LIBCPP_TEMPLATE_VIS __tree_const_iterator {
typedef __tree_node_types<_NodePtr> _NodeTypes;
typedef typename _NodeTypes::__node_pointer __node_pointer;
typedef typename _NodeTypes::__node_base_pointer __node_base_pointer;
typedef typename _NodeTypes::__end_node_pointer __end_node_pointer;
typedef typename _NodeTypes::__iter_pointer __iter_pointer;
typedef pointer_traits<__node_pointer> __pointer_traits;
__iter_pointer __ptr_;
public:
typedef bidirectional_iterator_tag iterator_category;
typedef _Tp value_type;
typedef _DiffType difference_type;
typedef const value_type& reference;
typedef typename _NodeTypes::__const_node_value_type_pointer pointer;
_LIBCPP_HIDE_FROM_ABI __tree_const_iterator() _NOEXCEPT
#if _LIBCPP_STD_VER >= 14
: __ptr_(nullptr)
#endif
{
}
private:
typedef __tree_iterator<value_type, __node_pointer, difference_type> __non_const_iterator;
public:
_LIBCPP_HIDE_FROM_ABI __tree_const_iterator(__non_const_iterator __p) _NOEXCEPT : __ptr_(__p.__ptr_) {}
_LIBCPP_HIDE_FROM_ABI reference operator*() const { return __get_np()->__value_; }
_LIBCPP_HIDE_FROM_ABI pointer operator->() const { return pointer_traits<pointer>::pointer_to(__get_np()->__value_); }
_LIBCPP_HIDE_FROM_ABI __tree_const_iterator& operator++() {
__ptr_ = static_cast<__iter_pointer>(
std::__tree_next_iter<__end_node_pointer>(static_cast<__node_base_pointer>(__ptr_)));
return *this;
}
_LIBCPP_HIDE_FROM_ABI __tree_const_iterator operator++(int) {
__tree_const_iterator __t(*this);
++(*this);
return __t;
}
_LIBCPP_HIDE_FROM_ABI __tree_const_iterator& operator--() {
__ptr_ = static_cast<__iter_pointer>(
std::__tree_prev_iter<__node_base_pointer>(static_cast<__end_node_pointer>(__ptr_)));
return *this;
}
_LIBCPP_HIDE_FROM_ABI __tree_const_iterator operator--(int) {
__tree_const_iterator __t(*this);
--(*this);
return __t;
}
friend _LIBCPP_HIDE_FROM_ABI bool operator==(const __tree_const_iterator& __x, const __tree_const_iterator& __y) {
return __x.__ptr_ == __y.__ptr_;
}
friend _LIBCPP_HIDE_FROM_ABI bool operator!=(const __tree_const_iterator& __x, const __tree_const_iterator& __y) {
return !(__x == __y);
}
private:
_LIBCPP_HIDE_FROM_ABI explicit __tree_const_iterator(__node_pointer __p) _NOEXCEPT : __ptr_(__p) {}
_LIBCPP_HIDE_FROM_ABI explicit __tree_const_iterator(__end_node_pointer __p) _NOEXCEPT : __ptr_(__p) {}
_LIBCPP_HIDE_FROM_ABI __node_pointer __get_np() const { return static_cast<__node_pointer>(__ptr_); }
template <class, class, class>
friend class __tree;
template <class, class, class, class>
friend class _LIBCPP_TEMPLATE_VIS map;
template <class, class, class, class>
friend class _LIBCPP_TEMPLATE_VIS multimap;
template <class, class, class>
friend class _LIBCPP_TEMPLATE_VIS set;
template <class, class, class>
friend class _LIBCPP_TEMPLATE_VIS multiset;
template <class>
friend class _LIBCPP_TEMPLATE_VIS __map_const_iterator;
};
template <class _Tp, class _Compare>
#ifndef _LIBCPP_CXX03_LANG
_LIBCPP_DIAGNOSE_WARNING(!__invokable<_Compare const&, _Tp const&, _Tp const&>::value,
"the specified comparator type does not provide a viable const call operator")
#endif
int __diagnose_non_const_comparator();
template <class _Tp, class _Compare, class _Allocator>
class __tree {
public:
typedef _Tp value_type;
typedef _Compare value_compare;
typedef _Allocator allocator_type;
private:
typedef allocator_traits<allocator_type> __alloc_traits;
typedef typename __make_tree_node_types<value_type, typename __alloc_traits::void_pointer>::type _NodeTypes;
typedef typename _NodeTypes::key_type key_type;
public:
typedef typename _NodeTypes::__node_value_type __node_value_type;
typedef typename _NodeTypes::__container_value_type __container_value_type;
typedef typename __alloc_traits::pointer pointer;
typedef typename __alloc_traits::const_pointer const_pointer;
typedef typename __alloc_traits::size_type size_type;
typedef typename __alloc_traits::difference_type difference_type;
public:
typedef typename _NodeTypes::__void_pointer __void_pointer;
typedef typename _NodeTypes::__node_type __node;
typedef typename _NodeTypes::__node_pointer __node_pointer;
typedef typename _NodeTypes::__node_base_type __node_base;
typedef typename _NodeTypes::__node_base_pointer __node_base_pointer;
typedef typename _NodeTypes::__end_node_type __end_node_t;
typedef typename _NodeTypes::__end_node_pointer __end_node_ptr;
typedef typename _NodeTypes::__parent_pointer __parent_pointer;
typedef typename _NodeTypes::__iter_pointer __iter_pointer;
typedef __rebind_alloc<__alloc_traits, __node> __node_allocator;
typedef allocator_traits<__node_allocator> __node_traits;
private:
// check for sane allocator pointer rebinding semantics. Rebinding the
// allocator for a new pointer type should be exactly the same as rebinding
// the pointer using 'pointer_traits'.
static_assert((is_same<__node_pointer, typename __node_traits::pointer>::value),
"Allocator does not rebind pointers in a sane manner.");
typedef __rebind_alloc<__node_traits, __node_base> __node_base_allocator;
typedef allocator_traits<__node_base_allocator> __node_base_traits;
static_assert((is_same<__node_base_pointer, typename __node_base_traits::pointer>::value),
"Allocator does not rebind pointers in a sane manner.");
private:
__iter_pointer __begin_node_;
__compressed_pair<__end_node_t, __node_allocator> __pair1_;
__compressed_pair<size_type, value_compare> __pair3_;
public:
_LIBCPP_HIDE_FROM_ABI __iter_pointer __end_node() _NOEXCEPT {
return static_cast<__iter_pointer>(pointer_traits<__end_node_ptr>::pointer_to(__pair1_.first()));
}
_LIBCPP_HIDE_FROM_ABI __iter_pointer __end_node() const _NOEXCEPT {
return static_cast<__iter_pointer>(
pointer_traits<__end_node_ptr>::pointer_to(const_cast<__end_node_t&>(__pair1_.first())));
}
_LIBCPP_HIDE_FROM_ABI __node_allocator& __node_alloc() _NOEXCEPT { return __pair1_.second(); }
private:
_LIBCPP_HIDE_FROM_ABI const __node_allocator& __node_alloc() const _NOEXCEPT { return __pair1_.second(); }
_LIBCPP_HIDE_FROM_ABI __iter_pointer& __begin_node() _NOEXCEPT { return __begin_node_; }
_LIBCPP_HIDE_FROM_ABI const __iter_pointer& __begin_node() const _NOEXCEPT { return __begin_node_; }
public:
_LIBCPP_HIDE_FROM_ABI allocator_type __alloc() const _NOEXCEPT { return allocator_type(__node_alloc()); }
private:
_LIBCPP_HIDE_FROM_ABI size_type& size() _NOEXCEPT { return __pair3_.first(); }
public:
_LIBCPP_HIDE_FROM_ABI const size_type& size() const _NOEXCEPT { return __pair3_.first(); }
_LIBCPP_HIDE_FROM_ABI value_compare& value_comp() _NOEXCEPT { return __pair3_.second(); }
_LIBCPP_HIDE_FROM_ABI const value_compare& value_comp() const _NOEXCEPT { return __pair3_.second(); }
public:
_LIBCPP_HIDE_FROM_ABI __node_pointer __root() const _NOEXCEPT {
return static_cast<__node_pointer>(__end_node()->__left_);
}
_LIBCPP_HIDE_FROM_ABI __node_base_pointer* __root_ptr() const _NOEXCEPT {
return std::addressof(__end_node()->__left_);
}
typedef __tree_iterator<value_type, __node_pointer, difference_type> iterator;
typedef __tree_const_iterator<value_type, __node_pointer, difference_type> const_iterator;
_LIBCPP_HIDE_FROM_ABI explicit __tree(const value_compare& __comp) _NOEXCEPT_(
is_nothrow_default_constructible<__node_allocator>::value&& is_nothrow_copy_constructible<value_compare>::value);
_LIBCPP_HIDE_FROM_ABI explicit __tree(const allocator_type& __a);
_LIBCPP_HIDE_FROM_ABI __tree(const value_compare& __comp, const allocator_type& __a);
_LIBCPP_HIDE_FROM_ABI __tree(const __tree& __t);
_LIBCPP_HIDE_FROM_ABI __tree& operator=(const __tree& __t);
template <class _ForwardIterator>
_LIBCPP_HIDE_FROM_ABI void __assign_unique(_ForwardIterator __first, _ForwardIterator __last);
template <class _InputIterator>
_LIBCPP_HIDE_FROM_ABI void __assign_multi(_InputIterator __first, _InputIterator __last);
_LIBCPP_HIDE_FROM_ABI __tree(__tree&& __t) _NOEXCEPT_(
is_nothrow_move_constructible<__node_allocator>::value&& is_nothrow_move_constructible<value_compare>::value);
_LIBCPP_HIDE_FROM_ABI __tree(__tree&& __t, const allocator_type& __a);
_LIBCPP_HIDE_FROM_ABI __tree& operator=(__tree&& __t) _NOEXCEPT_(
__node_traits::propagate_on_container_move_assignment::value&& is_nothrow_move_assignable<value_compare>::value&&
is_nothrow_move_assignable<__node_allocator>::value);
_LIBCPP_HIDE_FROM_ABI ~__tree();
_LIBCPP_HIDE_FROM_ABI iterator begin() _NOEXCEPT { return iterator(__begin_node()); }
_LIBCPP_HIDE_FROM_ABI const_iterator begin() const _NOEXCEPT { return const_iterator(__begin_node()); }
_LIBCPP_HIDE_FROM_ABI iterator end() _NOEXCEPT { return iterator(__end_node()); }
_LIBCPP_HIDE_FROM_ABI const_iterator end() const _NOEXCEPT { return const_iterator(__end_node()); }