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__tree
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__tree
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// -*- C++ -*-
//===----------------------------------------------------------------------===//
//
// The LLVM Compiler Infrastructure
//
// This file is dual licensed under the MIT and the University of Illinois Open
// Source Licenses. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
#ifndef _LIBCPP___TREE
#define _LIBCPP___TREE
#include <__config>
#include <iterator>
#include <memory>
#include <stdexcept>
#include <algorithm>
#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
#pragma GCC system_header
#endif
_LIBCPP_BEGIN_NAMESPACE_STD
template <class _Tp, class _Compare, class _Allocator> class __tree;
template <class _Tp, class _NodePtr, class _DiffType>
class _LIBCPP_VISIBLE __tree_iterator;
template <class _Tp, class _ConstNodePtr, class _DiffType>
class _LIBCPP_VISIBLE __tree_const_iterator;
template <class _Key, class _Tp, class _Compare, class _Allocator>
class _LIBCPP_VISIBLE map;
template <class _Key, class _Tp, class _Compare, class _Allocator>
class _LIBCPP_VISIBLE multimap;
template <class _Key, class _Compare, class _Allocator>
class _LIBCPP_VISIBLE set;
template <class _Key, class _Compare, class _Allocator>
class _LIBCPP_VISIBLE multiset;
/*
_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_INLINE_VISIBILITY
bool
__tree_is_left_child(_NodePtr __x) _NOEXCEPT
{
return __x == __x->__parent_->__left_;
}
// Determintes 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 = __tree_sub_invariant(__x->__left_);
if (__h == 0)
return 0; // invalid left subtree
if (__h != __tree_sub_invariant(__x->__right_))
return 0; // invalid or different height right subtree
return __h + __x->__is_black_; // return black height of this node
}
// Determintes 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>
bool
__tree_invariant(_NodePtr __root)
{
if (__root == nullptr)
return true;
// check __x->__parent_ consistency
if (__root->__parent_ == nullptr)
return false;
if (!__tree_is_left_child(__root))
return false;
// root must be black
if (!__root->__is_black_)
return false;
// do normal node checks
return __tree_sub_invariant(__root) != 0;
}
// Returns: pointer to the left-most node under __x.
// Precondition: __x != nullptr.
template <class _NodePtr>
inline _LIBCPP_INLINE_VISIBILITY
_NodePtr
__tree_min(_NodePtr __x) _NOEXCEPT
{
while (__x->__left_ != nullptr)
__x = __x->__left_;
return __x;
}
// Returns: pointer to the right-most node under __x.
// Precondition: __x != nullptr.
template <class _NodePtr>
inline _LIBCPP_INLINE_VISIBILITY
_NodePtr
__tree_max(_NodePtr __x) _NOEXCEPT
{
while (__x->__right_ != nullptr)
__x = __x->__right_;
return __x;
}
// Returns: pointer to the next in-order node after __x.
// Precondition: __x != nullptr.
template <class _NodePtr>
_NodePtr
__tree_next(_NodePtr __x) _NOEXCEPT
{
if (__x->__right_ != nullptr)
return __tree_min(__x->__right_);
while (!__tree_is_left_child(__x))
__x = __x->__parent_;
return __x->__parent_;
}
// Returns: pointer to the previous in-order node before __x.
// Precondition: __x != nullptr.
template <class _NodePtr>
_NodePtr
__tree_prev(_NodePtr __x) _NOEXCEPT
{
if (__x->__left_ != nullptr)
return __tree_max(__x->__left_);
while (__tree_is_left_child(__x))
__x = __x->__parent_;
return __x->__parent_;
}
// Returns: pointer to a node which has no children
// Precondition: __x != nullptr.
template <class _NodePtr>
_NodePtr
__tree_leaf(_NodePtr __x) _NOEXCEPT
{
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.
// Precondition: __x->__right_ != nullptr
template <class _NodePtr>
void
__tree_left_rotate(_NodePtr __x) _NOEXCEPT
{
_NodePtr __y = __x->__right_;
__x->__right_ = __y->__left_;
if (__x->__right_ != nullptr)
__x->__right_->__parent_ = __x;
__y->__parent_ = __x->__parent_;
if (__tree_is_left_child(__x))
__x->__parent_->__left_ = __y;
else
__x->__parent_->__right_ = __y;
__y->__left_ = __x;
__x->__parent_ = __y;
}
// Effects: Makes __x->__left_ the subtree root with __x as its right child
// while preserving in-order order.
// Precondition: __x->__left_ != nullptr
template <class _NodePtr>
void
__tree_right_rotate(_NodePtr __x) _NOEXCEPT
{
_NodePtr __y = __x->__left_;
__x->__left_ = __y->__right_;
if (__x->__left_ != nullptr)
__x->__left_->__parent_ = __x;
__y->__parent_ = __x->__parent_;
if (__tree_is_left_child(__x))
__x->__parent_->__left_ = __y;
else
__x->__parent_->__right_ = __y;
__y->__right_ = __x;
__x->__parent_ = __y;
}
// Effects: Rebalances __root after attaching __x to a leaf.
// Precondition: __root != nulptr && __x != nullptr.
// __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>
void
__tree_balance_after_insert(_NodePtr __root, _NodePtr __x) _NOEXCEPT
{
__x->__is_black_ = __x == __root;
while (__x != __root && !__x->__parent_->__is_black_)
{
// __x->__parent_ != __root because __x->__parent_->__is_black == false
if (__tree_is_left_child(__x->__parent_))
{
_NodePtr __y = __x->__parent_->__parent_->__right_;
if (__y != nullptr && !__y->__is_black_)
{
__x = __x->__parent_;
__x->__is_black_ = true;
__x = __x->__parent_;
__x->__is_black_ = __x == __root;
__y->__is_black_ = true;
}
else
{
if (!__tree_is_left_child(__x))
{
__x = __x->__parent_;
__tree_left_rotate(__x);
}
__x = __x->__parent_;
__x->__is_black_ = true;
__x = __x->__parent_;
__x->__is_black_ = false;
__tree_right_rotate(__x);
break;
}
}
else
{
_NodePtr __y = __x->__parent_->__parent_->__left_;
if (__y != nullptr && !__y->__is_black_)
{
__x = __x->__parent_;
__x->__is_black_ = true;
__x = __x->__parent_;
__x->__is_black_ = __x == __root;
__y->__is_black_ = true;
}
else
{
if (__tree_is_left_child(__x))
{
__x = __x->__parent_;
__tree_right_rotate(__x);
}
__x = __x->__parent_;
__x->__is_black_ = true;
__x = __x->__parent_;
__x->__is_black_ = false;
__tree_left_rotate(__x);
break;
}
}
}
}
// Precondition: __root != nullptr && __z != nullptr.
// __tree_invariant(__root) == true.
// __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>
void
__tree_remove(_NodePtr __root, _NodePtr __z) _NOEXCEPT
{
// __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 : __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 (__tree_is_left_child(__y))
{
__y->__parent_->__left_ = __x;
if (__y != __root)
__w = __y->__parent_->__right_;
else
__root = __x; // __w == nullptr
}
else
{
__y->__parent_->__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 (__tree_is_left_child(__z))
__y->__parent_->__left_ = __y;
else
__y->__parent_->__right_ = __y;
__y->__left_ = __z->__left_;
__y->__left_->__parent_ = __y;
__y->__right_ = __z->__right_;
if (__y->__right_ != nullptr)
__y->__right_->__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 (!__tree_is_left_child(__w)) // if x is left child
{
if (!__w->__is_black_)
{
__w->__is_black_ = true;
__w->__parent_->__is_black_ = false;
__tree_left_rotate(__w->__parent_);
// __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_;
// __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 = __tree_is_left_child(__x) ?
__x->__parent_->__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;
__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_;
}
// __w has a right red child, left child may be null
__w->__is_black_ = __w->__parent_->__is_black_;
__w->__parent_->__is_black_ = true;
__w->__right_->__is_black_ = true;
__tree_left_rotate(__w->__parent_);
break;
}
}
else
{
if (!__w->__is_black_)
{
__w->__is_black_ = true;
__w->__parent_->__is_black_ = false;
__tree_right_rotate(__w->__parent_);
// __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_;
// __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 = __tree_is_left_child(__x) ?
__x->__parent_->__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;
__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_;
}
// __w has a left red child, right child may be null
__w->__is_black_ = __w->__parent_->__is_black_;
__w->__parent_->__is_black_ = true;
__w->__left_->__is_black_ = true;
__tree_right_rotate(__w->__parent_);
break;
}
}
}
}
}
}
template <class _Allocator> class __map_node_destructor;
template <class _Allocator>
class __tree_node_destructor
{
typedef _Allocator allocator_type;
typedef allocator_traits<allocator_type> __alloc_traits;
typedef typename __alloc_traits::value_type::value_type value_type;
public:
typedef typename __alloc_traits::pointer pointer;
private:
allocator_type& __na_;
__tree_node_destructor& operator=(const __tree_node_destructor&);
public:
bool __value_constructed;
_LIBCPP_INLINE_VISIBILITY
explicit __tree_node_destructor(allocator_type& __na) _NOEXCEPT
: __na_(__na),
__value_constructed(false)
{}
_LIBCPP_INLINE_VISIBILITY
void operator()(pointer __p) _NOEXCEPT
{
if (__value_constructed)
__alloc_traits::destroy(__na_, _VSTD::addressof(__p->__value_));
if (__p)
__alloc_traits::deallocate(__na_, __p, 1);
}
template <class> friend class __map_node_destructor;
};
// node
template <class _Pointer>
class __tree_end_node
{
public:
typedef _Pointer pointer;
pointer __left_;
_LIBCPP_INLINE_VISIBILITY
__tree_end_node() _NOEXCEPT : __left_() {}
};
template <class _VoidPtr>
class __tree_node_base
: public __tree_end_node
<
typename pointer_traits<_VoidPtr>::template
#ifndef _LIBCPP_HAS_NO_TEMPLATE_ALIASES
rebind<__tree_node_base<_VoidPtr> >
#else
rebind<__tree_node_base<_VoidPtr> >::other
#endif
>
{
__tree_node_base(const __tree_node_base&);
__tree_node_base& operator=(const __tree_node_base&);
public:
typedef typename pointer_traits<_VoidPtr>::template
#ifndef _LIBCPP_HAS_NO_TEMPLATE_ALIASES
rebind<__tree_node_base>
#else
rebind<__tree_node_base>::other
#endif
pointer;
typedef typename pointer_traits<_VoidPtr>::template
#ifndef _LIBCPP_HAS_NO_TEMPLATE_ALIASES
rebind<const __tree_node_base>
#else
rebind<const __tree_node_base>::other
#endif
const_pointer;
typedef __tree_end_node<pointer> base;
pointer __right_;
pointer __parent_;
bool __is_black_;
_LIBCPP_INLINE_VISIBILITY
__tree_node_base() _NOEXCEPT
: __right_(), __parent_(), __is_black_(false) {}
};
template <class _Tp, class _VoidPtr>
class __tree_node
: public __tree_node_base<_VoidPtr>
{
public:
typedef __tree_node_base<_VoidPtr> base;
typedef _Tp value_type;
value_type __value_;
#if !defined(_LIBCPP_HAS_NO_RVALUE_REFERENCES) && !defined(_LIBCPP_HAS_NO_VARIADICS)
template <class ..._Args>
_LIBCPP_INLINE_VISIBILITY
explicit __tree_node(_Args&& ...__args)
: __value_(_VSTD::forward<_Args>(__args)...) {}
#else // !defined(_LIBCPP_HAS_NO_RVALUE_REFERENCES) && !defined(_LIBCPP_HAS_NO_VARIADICS)
_LIBCPP_INLINE_VISIBILITY
explicit __tree_node(const value_type& __v)
: __value_(__v) {}
#endif // !defined(_LIBCPP_HAS_NO_RVALUE_REFERENCES) && !defined(_LIBCPP_HAS_NO_VARIADICS)
};
template <class _TreeIterator> class _LIBCPP_VISIBLE __map_iterator;
template <class _TreeIterator> class _LIBCPP_VISIBLE __map_const_iterator;
template <class _Tp, class _NodePtr, class _DiffType>
class _LIBCPP_VISIBLE __tree_iterator
{
typedef _NodePtr __node_pointer;
typedef typename pointer_traits<__node_pointer>::element_type __node;
typedef typename __node::base __node_base;
typedef typename __node_base::pointer __node_base_pointer;
__node_pointer __ptr_;
typedef pointer_traits<__node_pointer> __pointer_traits;
public:
typedef bidirectional_iterator_tag iterator_category;
typedef _Tp value_type;
typedef _DiffType difference_type;
typedef value_type& reference;
typedef typename pointer_traits<__node_pointer>::template
#ifndef _LIBCPP_HAS_NO_TEMPLATE_ALIASES
rebind<value_type>
#else
rebind<value_type>::other
#endif
pointer;
_LIBCPP_INLINE_VISIBILITY __tree_iterator() _NOEXCEPT {}
_LIBCPP_INLINE_VISIBILITY reference operator*() const {return __ptr_->__value_;}
_LIBCPP_INLINE_VISIBILITY pointer operator->() const {return &__ptr_->__value_;}
_LIBCPP_INLINE_VISIBILITY
__tree_iterator& operator++()
{__ptr_ = static_cast<__node_pointer>(__tree_next(static_cast<__node_base_pointer>(__ptr_)));
return *this;}
_LIBCPP_INLINE_VISIBILITY
__tree_iterator operator++(int)
{__tree_iterator __t(*this); ++(*this); return __t;}
_LIBCPP_INLINE_VISIBILITY
__tree_iterator& operator--()
{__ptr_ = static_cast<__node_pointer>(__tree_prev(static_cast<__node_base_pointer>(__ptr_)));
return *this;}
_LIBCPP_INLINE_VISIBILITY
__tree_iterator operator--(int)
{__tree_iterator __t(*this); --(*this); return __t;}
friend _LIBCPP_INLINE_VISIBILITY
bool operator==(const __tree_iterator& __x, const __tree_iterator& __y)
{return __x.__ptr_ == __y.__ptr_;}
friend _LIBCPP_INLINE_VISIBILITY
bool operator!=(const __tree_iterator& __x, const __tree_iterator& __y)
{return !(__x == __y);}
private:
_LIBCPP_INLINE_VISIBILITY
explicit __tree_iterator(__node_pointer __p) _NOEXCEPT : __ptr_(__p) {}
template <class, class, class> friend class __tree;
template <class, class, class> friend class _LIBCPP_VISIBLE __tree_const_iterator;
template <class> friend class _LIBCPP_VISIBLE __map_iterator;
template <class, class, class, class> friend class _LIBCPP_VISIBLE map;
template <class, class, class, class> friend class _LIBCPP_VISIBLE multimap;
template <class, class, class> friend class _LIBCPP_VISIBLE set;
template <class, class, class> friend class _LIBCPP_VISIBLE multiset;
};
template <class _Tp, class _ConstNodePtr, class _DiffType>
class _LIBCPP_VISIBLE __tree_const_iterator
{
typedef _ConstNodePtr __node_pointer;
typedef typename pointer_traits<__node_pointer>::element_type __node;
typedef const typename __node::base __node_base;
typedef typename pointer_traits<__node_pointer>::template
#ifndef _LIBCPP_HAS_NO_TEMPLATE_ALIASES
rebind<__node_base>
#else
rebind<__node_base>::other
#endif
__node_base_pointer;
__node_pointer __ptr_;
typedef pointer_traits<__node_pointer> __pointer_traits;
public:
typedef bidirectional_iterator_tag iterator_category;
typedef _Tp value_type;
typedef _DiffType difference_type;
typedef const value_type& reference;
typedef typename pointer_traits<__node_pointer>::template
#ifndef _LIBCPP_HAS_NO_TEMPLATE_ALIASES
rebind<const value_type>
#else
rebind<const value_type>::other
#endif
pointer;
_LIBCPP_INLINE_VISIBILITY __tree_const_iterator() {}
private:
typedef typename remove_const<__node>::type __non_const_node;
typedef typename pointer_traits<__node_pointer>::template
#ifndef _LIBCPP_HAS_NO_TEMPLATE_ALIASES
rebind<__non_const_node>
#else
rebind<__non_const_node>::other
#endif
__non_const_node_pointer;
typedef __tree_iterator<value_type, __non_const_node_pointer, difference_type>
__non_const_iterator;
public:
_LIBCPP_INLINE_VISIBILITY
__tree_const_iterator(__non_const_iterator __p) _NOEXCEPT
: __ptr_(__p.__ptr_) {}
_LIBCPP_INLINE_VISIBILITY reference operator*() const {return __ptr_->__value_;}
_LIBCPP_INLINE_VISIBILITY pointer operator->() const {return &__ptr_->__value_;}
_LIBCPP_INLINE_VISIBILITY
__tree_const_iterator& operator++()
{__ptr_ = static_cast<__node_pointer>(__tree_next(static_cast<__node_base_pointer>(__ptr_)));
return *this;}
_LIBCPP_INLINE_VISIBILITY
__tree_const_iterator operator++(int)
{__tree_const_iterator __t(*this); ++(*this); return __t;}
_LIBCPP_INLINE_VISIBILITY
__tree_const_iterator& operator--()
{__ptr_ = static_cast<__node_pointer>(__tree_prev(static_cast<__node_base_pointer>(__ptr_)));
return *this;}
_LIBCPP_INLINE_VISIBILITY
__tree_const_iterator operator--(int)
{__tree_const_iterator __t(*this); --(*this); return __t;}
friend _LIBCPP_INLINE_VISIBILITY
bool operator==(const __tree_const_iterator& __x, const __tree_const_iterator& __y)
{return __x.__ptr_ == __y.__ptr_;}
friend _LIBCPP_INLINE_VISIBILITY
bool operator!=(const __tree_const_iterator& __x, const __tree_const_iterator& __y)
{return !(__x == __y);}
private:
_LIBCPP_INLINE_VISIBILITY
explicit __tree_const_iterator(__node_pointer __p) _NOEXCEPT
: __ptr_(__p) {}
template <class, class, class> friend class __tree;
template <class, class, class, class> friend class _LIBCPP_VISIBLE map;
template <class, class, class, class> friend class _LIBCPP_VISIBLE multimap;
template <class, class, class> friend class _LIBCPP_VISIBLE set;
template <class, class, class> friend class _LIBCPP_VISIBLE multiset;
template <class> friend class _LIBCPP_VISIBLE __map_const_iterator;
};
template <class _Tp, class _Compare, class _Allocator>
class __tree
{
public:
typedef _Tp value_type;
typedef _Compare value_compare;
typedef _Allocator allocator_type;
typedef allocator_traits<allocator_type> __alloc_traits;
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;
typedef __tree_node<value_type, typename __alloc_traits::void_pointer> __node;
typedef __tree_node_base<typename __alloc_traits::void_pointer> __node_base;
typedef typename __alloc_traits::template
#ifndef _LIBCPP_HAS_NO_TEMPLATE_ALIASES
rebind_alloc<__node>
#else
rebind_alloc<__node>::other
#endif
__node_allocator;
typedef allocator_traits<__node_allocator> __node_traits;
typedef typename __node_traits::pointer __node_pointer;
typedef typename __node_traits::const_pointer __node_const_pointer;
typedef typename __node_base::pointer __node_base_pointer;
typedef typename __node_base::const_pointer __node_base_const_pointer;
private:
typedef typename __node_base::base __end_node_t;
typedef typename pointer_traits<__node_pointer>::template
#ifndef _LIBCPP_HAS_NO_TEMPLATE_ALIASES
rebind<__end_node_t>
#else
rebind<__end_node_t>::other
#endif
__end_node_ptr;
typedef typename pointer_traits<__node_pointer>::template
#ifndef _LIBCPP_HAS_NO_TEMPLATE_ALIASES
rebind<const __end_node_t>
#else
rebind<const __end_node_t>::other
#endif
__end_node_const_ptr;
__node_pointer __begin_node_;
__compressed_pair<__end_node_t, __node_allocator> __pair1_;
__compressed_pair<size_type, value_compare> __pair3_;
public:
_LIBCPP_INLINE_VISIBILITY
__node_pointer __end_node() _NOEXCEPT
{
return static_cast<__node_pointer>
(
pointer_traits<__end_node_ptr>::pointer_to(__pair1_.first())
);
}
_LIBCPP_INLINE_VISIBILITY
__node_const_pointer __end_node() const _NOEXCEPT
{
return static_cast<__node_const_pointer>
(
pointer_traits<__end_node_const_ptr>::pointer_to(__pair1_.first())
);
}
_LIBCPP_INLINE_VISIBILITY
__node_allocator& __node_alloc() _NOEXCEPT {return __pair1_.second();}
private:
_LIBCPP_INLINE_VISIBILITY
const __node_allocator& __node_alloc() const _NOEXCEPT
{return __pair1_.second();}
_LIBCPP_INLINE_VISIBILITY
__node_pointer& __begin_node() _NOEXCEPT {return __begin_node_;}
_LIBCPP_INLINE_VISIBILITY
const __node_pointer& __begin_node() const _NOEXCEPT {return __begin_node_;}
public:
_LIBCPP_INLINE_VISIBILITY
allocator_type __alloc() const _NOEXCEPT
{return allocator_type(__node_alloc());}
private:
_LIBCPP_INLINE_VISIBILITY
size_type& size() _NOEXCEPT {return __pair3_.first();}
public:
_LIBCPP_INLINE_VISIBILITY
const size_type& size() const _NOEXCEPT {return __pair3_.first();}
_LIBCPP_INLINE_VISIBILITY
value_compare& value_comp() _NOEXCEPT {return __pair3_.second();}
_LIBCPP_INLINE_VISIBILITY
const value_compare& value_comp() const _NOEXCEPT
{return __pair3_.second();}
public:
_LIBCPP_INLINE_VISIBILITY
__node_pointer __root() _NOEXCEPT
{return static_cast<__node_pointer> (__end_node()->__left_);}
_LIBCPP_INLINE_VISIBILITY
__node_const_pointer __root() const _NOEXCEPT
{return static_cast<__node_const_pointer>(__end_node()->__left_);}
typedef __tree_iterator<value_type, __node_pointer, difference_type> iterator;
typedef __tree_const_iterator<value_type, __node_const_pointer, difference_type> const_iterator;
explicit __tree(const value_compare& __comp)
_NOEXCEPT_(
is_nothrow_default_constructible<__node_allocator>::value &&
is_nothrow_copy_constructible<value_compare>::value);
explicit __tree(const allocator_type& __a);
__tree(const value_compare& __comp, const allocator_type& __a);
__tree(const __tree& __t);
__tree& operator=(const __tree& __t);
template <class _InputIterator>
void __assign_unique(_InputIterator __first, _InputIterator __last);
template <class _InputIterator>
void __assign_multi(_InputIterator __first, _InputIterator __last);
#ifndef _LIBCPP_HAS_NO_RVALUE_REFERENCES
__tree(__tree&& __t)
_NOEXCEPT_(
is_nothrow_move_constructible<__node_allocator>::value &&
is_nothrow_move_constructible<value_compare>::value);
__tree(__tree&& __t, const allocator_type& __a);
__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);
#endif // _LIBCPP_HAS_NO_RVALUE_REFERENCES
~__tree();
_LIBCPP_INLINE_VISIBILITY
iterator begin() _NOEXCEPT {return iterator(__begin_node());}
_LIBCPP_INLINE_VISIBILITY
const_iterator begin() const _NOEXCEPT {return const_iterator(__begin_node());}
_LIBCPP_INLINE_VISIBILITY
iterator end() _NOEXCEPT {return iterator(__end_node());}
_LIBCPP_INLINE_VISIBILITY
const_iterator end() const _NOEXCEPT {return const_iterator(__end_node());}
_LIBCPP_INLINE_VISIBILITY
size_type max_size() const _NOEXCEPT
{return __node_traits::max_size(__node_alloc());}
void clear() _NOEXCEPT;
void swap(__tree& __t)
_NOEXCEPT_(
__is_nothrow_swappable<value_compare>::value &&
(!__node_traits::propagate_on_container_swap::value ||
__is_nothrow_swappable<__node_allocator>::value));
#ifndef _LIBCPP_HAS_NO_RVALUE_REFERENCES
#ifndef _LIBCPP_HAS_NO_VARIADICS
template <class... _Args>
pair<iterator, bool>
__emplace_unique(_Args&&... __args);
template <class... _Args>
iterator
__emplace_multi(_Args&&... __args);
template <class... _Args>
iterator
__emplace_hint_unique(const_iterator __p, _Args&&... __args);
template <class... _Args>
iterator
__emplace_hint_multi(const_iterator __p, _Args&&... __args);
#endif // _LIBCPP_HAS_NO_VARIADICS
template <class _Vp>
pair<iterator, bool> __insert_unique(_Vp&& __v);
template <class _Vp>
iterator __insert_unique(const_iterator __p, _Vp&& __v);
template <class _Vp>
iterator __insert_multi(_Vp&& __v);
template <class _Vp>
iterator __insert_multi(const_iterator __p, _Vp&& __v);
#endif // _LIBCPP_HAS_NO_RVALUE_REFERENCES
pair<iterator, bool> __insert_unique(const value_type& __v);
iterator __insert_unique(const_iterator __p, const value_type& __v);
iterator __insert_multi(const value_type& __v);
iterator __insert_multi(const_iterator __p, const value_type& __v);
pair<iterator, bool> __node_insert_unique(__node_pointer __nd);
iterator __node_insert_unique(const_iterator __p,
__node_pointer __nd);
iterator __node_insert_multi(__node_pointer __nd);
iterator __node_insert_multi(const_iterator __p, __node_pointer __nd);
iterator erase(const_iterator __p);
iterator erase(const_iterator __f, const_iterator __l);
template <class _Key>
size_type __erase_unique(const _Key& __k);
template <class _Key>
size_type __erase_multi(const _Key& __k);
void __insert_node_at(__node_base_pointer __parent,
__node_base_pointer& __child,
__node_base_pointer __new_node);
template <class _Key>
iterator find(const _Key& __v);
template <class _Key>
const_iterator find(const _Key& __v) const;
template <class _Key>
size_type __count_unique(const _Key& __k) const;
template <class _Key>
size_type __count_multi(const _Key& __k) const;
template <class _Key>
_LIBCPP_INLINE_VISIBILITY
iterator lower_bound(const _Key& __v)
{return __lower_bound(__v, __root(), __end_node());}
template <class _Key>
iterator __lower_bound(const _Key& __v,
__node_pointer __root,
__node_pointer __result);
template <class _Key>
_LIBCPP_INLINE_VISIBILITY
const_iterator lower_bound(const _Key& __v) const
{return __lower_bound(__v, __root(), __end_node());}
template <class _Key>
const_iterator __lower_bound(const _Key& __v,
__node_const_pointer __root,
__node_const_pointer __result) const;
template <class _Key>
_LIBCPP_INLINE_VISIBILITY
iterator upper_bound(const _Key& __v)
{return __upper_bound(__v, __root(), __end_node());}
template <class _Key>
iterator __upper_bound(const _Key& __v,
__node_pointer __root,