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stl_tree.h
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stl_tree.h
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/*
*
* Copyright (c) 1996,1997
* Silicon Graphics Computer Systems, Inc.
*
* Permission to use, copy, modify, distribute and sell this software
* and its documentation for any purpose is hereby granted without fee,
* provided that the above copyright notice appear in all copies and
* that both that copyright notice and this permission notice appear
* in supporting documentation. Silicon Graphics makes no
* representations about the suitability of this software for any
* purpose. It is provided "as is" without express or implied warranty.
*
*
* Copyright (c) 1994
* Hewlett-Packard Company
*
* Permission to use, copy, modify, distribute and sell this software
* and its documentation for any purpose is hereby granted without fee,
* provided that the above copyright notice appear in all copies and
* that both that copyright notice and this permission notice appear
* in supporting documentation. Hewlett-Packard Company makes no
* representations about the suitability of this software for any
* purpose. It is provided "as is" without express or implied warranty.
*
*
*/
/* NOTE: This is an internal header file, included by other STL headers.
* You should not attempt to use it directly.
*/
#ifndef __SGI_STL_INTERNAL_TREE_H
#define __SGI_STL_INTERNAL_TREE_H
/*
Red-black tree class, designed for use in implementing STL
associative containers (set, multiset, map, and multimap). The
insertion and deletion algorithms are based on those in Cormen,
Leiserson, and Rivest, Introduction to Algorithms (MIT Press, 1990),
except that
(1) the header cell is maintained with links not only to the root
but also to the leftmost node of the tree, to enable constant time
begin(), and to the rightmost node of the tree, to enable linear time
performance when used with the generic set algorithms (set_union,
etc.);
(2) when a node being deleted has two children its successor node is
relinked into its place, rather than copied, so that the only
iterators invalidated are those referring to the deleted node.
*/
#include <stl_algobase.h>
#include <stl_alloc.h>
#include <stl_construct.h>
#include <stl_function.h>
__STL_BEGIN_NAMESPACE
#if defined(__sgi) && !defined(__GNUC__) && (_MIPS_SIM != _MIPS_SIM_ABI32)
#pragma set woff 1375
#endif
typedef bool _Rb_tree_Color_type;
const _Rb_tree_Color_type _S_rb_tree_red = false;
const _Rb_tree_Color_type _S_rb_tree_black = true;
struct _Rb_tree_node_base
{
typedef _Rb_tree_Color_type _Color_type;
typedef _Rb_tree_node_base* _Base_ptr;
_Color_type _M_color; // 节点颜色
_Base_ptr _M_parent; // RB树的许多操作必须知道父节点
_Base_ptr _M_left; // 指向左节点
_Base_ptr _M_right; // 指向右节点
// 查找最大最小的极值是很好找的,因为RG-tree也是一个二叉搜索树
static _Base_ptr _S_minimum(_Base_ptr __x)
{
while (__x->_M_left != 0) __x = __x->_M_left;
return __x;
}
static _Base_ptr _S_maximum(_Base_ptr __x)
{
while (__x->_M_right != 0) __x = __x->_M_right;
return __x;
}
};
template <class _Value>
struct _Rb_tree_node : public _Rb_tree_node_base
{
typedef _Rb_tree_node<_Value>* _Link_type;
_Value _M_value_field; // 节点值
};
struct _Rb_tree_base_iterator
{
typedef _Rb_tree_node_base::_Base_ptr _Base_ptr;
typedef bidirectional_iterator_tag iterator_category;
typedef ptrdiff_t difference_type;
_Base_ptr _M_node;
void _M_increment()
{
if (_M_node->_M_right != 0) {
_M_node = _M_node->_M_right;
while (_M_node->_M_left != 0)
_M_node = _M_node->_M_left;
}
else {
_Base_ptr __y = _M_node->_M_parent;
while (_M_node == __y->_M_right) {
_M_node = __y;
__y = __y->_M_parent;
}
if (_M_node->_M_right != __y)
_M_node = __y;
}
}
void _M_decrement()
{
////TODO: _M_node->parent->parent 怎么会等于_M_node 自身呢???
if (_M_node->_M_color == _S_rb_tree_red &&
_M_node->_M_parent->_M_parent == _M_node)
_M_node = _M_node->_M_right;
else if (_M_node->_M_left != 0) {
_Base_ptr __y = _M_node->_M_left;
while (__y->_M_right != 0)
__y = __y->_M_right;
_M_node = __y;
}
else {
_Base_ptr __y = _M_node->_M_parent;
while (_M_node == __y->_M_left) {
_M_node = __y;
__y = __y->_M_parent;
}
_M_node = __y;
}
}
};
template <class _Value, class _Ref, class _Ptr>
struct _Rb_tree_iterator : public _Rb_tree_base_iterator
{
typedef _Value value_type;
typedef _Ref reference;
typedef _Ptr pointer;
typedef _Rb_tree_iterator<_Value, _Value&, _Value*>
iterator;
typedef _Rb_tree_iterator<_Value, const _Value&, const _Value*>
const_iterator;
typedef _Rb_tree_iterator<_Value, _Ref, _Ptr>
_Self;
typedef _Rb_tree_node<_Value>* _Link_type;
_Rb_tree_iterator() {}
_Rb_tree_iterator(_Link_type __x) { _M_node = __x; }
_Rb_tree_iterator(const iterator& __it) { _M_node = __it._M_node; }
reference operator*() const { return _Link_type(_M_node)->_M_value_field; }
#ifndef __SGI_STL_NO_ARROW_OPERATOR
pointer operator->() const { return &(operator*()); }
#endif /* __SGI_STL_NO_ARROW_OPERATOR */
_Self& operator++() { _M_increment(); return *this; }
_Self operator++(int) {
_Self __tmp = *this;
_M_increment();
return __tmp;
}
_Self& operator--() { _M_decrement(); return *this; }
_Self operator--(int) {
_Self __tmp = *this;
_M_decrement();
return __tmp;
}
};
inline bool operator==(const _Rb_tree_base_iterator& __x,
const _Rb_tree_base_iterator& __y) {
return __x._M_node == __y._M_node;
}
inline bool operator!=(const _Rb_tree_base_iterator& __x,
const _Rb_tree_base_iterator& __y) {
return __x._M_node != __y._M_node;
}
#ifndef __STL_CLASS_PARTIAL_SPECIALIZATION
inline bidirectional_iterator_tag
iterator_category(const _Rb_tree_base_iterator&) {
return bidirectional_iterator_tag();
}
inline _Rb_tree_base_iterator::difference_type*
distance_type(const _Rb_tree_base_iterator&) {
return (_Rb_tree_base_iterator::difference_type*) 0;
}
template <class _Value, class _Ref, class _Ptr>
inline _Value* value_type(const _Rb_tree_iterator<_Value, _Ref, _Ptr>&) {
return (_Value*) 0;
}
#endif /* __STL_CLASS_PARTIAL_SPECIALIZATION */
// 全局函数
// 新节点比为红节点。如果插入处之父节点亦为红节点,就违反红黑树规则,此时必须
// 做属性旋转和颜色改变。
inline void
_Rb_tree_rotate_left(_Rb_tree_node_base* __x, _Rb_tree_node_base*& __root)
{
_Rb_tree_node_base* __y = __x->_M_right;
__x->_M_right = __y->_M_left;
if (__y->_M_left !=0)
__y->_M_left->_M_parent = __x;
__y->_M_parent = __x->_M_parent;
// __y完全代替__x的地位(必须将x对其父节点的关系完全接收过来)
if (__x == __root)
__root = __y;
else if (__x == __x->_M_parent->_M_left)
__x->_M_parent->_M_left = __y;
else
__x->_M_parent->_M_right = __y;
__y->_M_left = __x;
__x->_M_parent = __y;
}
inline void
_Rb_tree_rotate_right(_Rb_tree_node_base* __x, _Rb_tree_node_base*& __root)
{
_Rb_tree_node_base* __y = __x->_M_left;
__x->_M_left = __y->_M_right;
if (__y->_M_right != 0)
__y->_M_right->_M_parent = __x;
__y->_M_parent = __x->_M_parent;
if (__x == __root)
__root = __y;
else if (__x == __x->_M_parent->_M_right)
__x->_M_parent->_M_right = __y;
else
__x->_M_parent->_M_left = __y;
__y->_M_right = __x;
__x->_M_parent = __y;
}
// 全局函数
// 重新令树形平衡(改变颜色及旋转树形)
// 参数1为新增节点,参数2为root
inline void
_Rb_tree_rebalance(_Rb_tree_node_base* __x, _Rb_tree_node_base*& __root)
{
__x->_M_color = _S_rb_tree_red; // 新节点必须是红色
while (__x != __root && __x->_M_parent->_M_color == _S_rb_tree_red) {
if (__x->_M_parent == __x->_M_parent->_M_parent->_M_left) {
_Rb_tree_node_base* __y = __x->_M_parent->_M_parent->_M_right;
if (__y && __y->_M_color == _S_rb_tree_red) {
__x->_M_parent->_M_color = _S_rb_tree_black;
__y->_M_color = _S_rb_tree_black;
__x->_M_parent->_M_parent->_M_color = _S_rb_tree_red;
__x = __x->_M_parent->_M_parent;
}
else {
if (__x == __x->_M_parent->_M_right) {
__x = __x->_M_parent;
_Rb_tree_rotate_left(__x, __root);
}
__x->_M_parent->_M_color = _S_rb_tree_black;
__x->_M_parent->_M_parent->_M_color = _S_rb_tree_red;
_Rb_tree_rotate_right(__x->_M_parent->_M_parent, __root);
}
}
else {
_Rb_tree_node_base* __y = __x->_M_parent->_M_parent->_M_left;
if (__y && __y->_M_color == _S_rb_tree_red) {
__x->_M_parent->_M_color = _S_rb_tree_black;
__y->_M_color = _S_rb_tree_black;
__x->_M_parent->_M_parent->_M_color = _S_rb_tree_red;
__x = __x->_M_parent->_M_parent;
}
else {
if (__x == __x->_M_parent->_M_left) {
__x = __x->_M_parent;
_Rb_tree_rotate_right(__x, __root);
}
__x->_M_parent->_M_color = _S_rb_tree_black;
__x->_M_parent->_M_parent->_M_color = _S_rb_tree_red;
_Rb_tree_rotate_left(__x->_M_parent->_M_parent, __root);
}
}
}
__root->_M_color = _S_rb_tree_black; // 根节点永远为黑
}
inline _Rb_tree_node_base*
_Rb_tree_rebalance_for_erase(_Rb_tree_node_base* __z,
_Rb_tree_node_base*& __root,
_Rb_tree_node_base*& __leftmost,
_Rb_tree_node_base*& __rightmost)
{
_Rb_tree_node_base* __y = __z;
_Rb_tree_node_base* __x = 0;
_Rb_tree_node_base* __x_parent = 0;
if (__y->_M_left == 0) // __z has at most one non-null child. y == z.
__x = __y->_M_right; // __x might be null.
else
if (__y->_M_right == 0) // __z has exactly one non-null child. y == z.
__x = __y->_M_left; // __x is not null.
else { // __z has two non-null children. Set __y to
__y = __y->_M_right; // __z's successor. __x might be null.
while (__y->_M_left != 0)
__y = __y->_M_left;
__x = __y->_M_right;
}
if (__y != __z) { // relink y in place of z. y is z's successor
__z->_M_left->_M_parent = __y;
__y->_M_left = __z->_M_left;
if (__y != __z->_M_right) {
__x_parent = __y->_M_parent;
if (__x) __x->_M_parent = __y->_M_parent;
__y->_M_parent->_M_left = __x; // __y must be a child of _M_left
__y->_M_right = __z->_M_right;
__z->_M_right->_M_parent = __y;
}
else
__x_parent = __y;
if (__root == __z)
__root = __y;
else if (__z->_M_parent->_M_left == __z)
__z->_M_parent->_M_left = __y;
else
__z->_M_parent->_M_right = __y;
__y->_M_parent = __z->_M_parent;
__STD::swap(__y->_M_color, __z->_M_color);
__y = __z;
// __y now points to node to be actually deleted
}
else { // __y == __z
__x_parent = __y->_M_parent;
if (__x) __x->_M_parent = __y->_M_parent;
if (__root == __z)
__root = __x;
else
if (__z->_M_parent->_M_left == __z)
__z->_M_parent->_M_left = __x;
else
__z->_M_parent->_M_right = __x;
if (__leftmost == __z)
if (__z->_M_right == 0) // __z->_M_left must be null also
__leftmost = __z->_M_parent;
// makes __leftmost == _M_header if __z == __root
else
__leftmost = _Rb_tree_node_base::_S_minimum(__x);
if (__rightmost == __z)
if (__z->_M_left == 0) // __z->_M_right must be null also
__rightmost = __z->_M_parent;
// makes __rightmost == _M_header if __z == __root
else // __x == __z->_M_left
__rightmost = _Rb_tree_node_base::_S_maximum(__x);
}
if (__y->_M_color != _S_rb_tree_red) {
while (__x != __root && (__x == 0 || __x->_M_color == _S_rb_tree_black))
if (__x == __x_parent->_M_left) {
_Rb_tree_node_base* __w = __x_parent->_M_right;
if (__w->_M_color == _S_rb_tree_red) {
__w->_M_color = _S_rb_tree_black;
__x_parent->_M_color = _S_rb_tree_red;
_Rb_tree_rotate_left(__x_parent, __root);
__w = __x_parent->_M_right;
}
if ((__w->_M_left == 0 ||
__w->_M_left->_M_color == _S_rb_tree_black) &&
(__w->_M_right == 0 ||
__w->_M_right->_M_color == _S_rb_tree_black)) {
__w->_M_color = _S_rb_tree_red;
__x = __x_parent;
__x_parent = __x_parent->_M_parent;
} else {
if (__w->_M_right == 0 ||
__w->_M_right->_M_color == _S_rb_tree_black) {
if (__w->_M_left) __w->_M_left->_M_color = _S_rb_tree_black;
__w->_M_color = _S_rb_tree_red;
_Rb_tree_rotate_right(__w, __root);
__w = __x_parent->_M_right;
}
__w->_M_color = __x_parent->_M_color;
__x_parent->_M_color = _S_rb_tree_black;
if (__w->_M_right) __w->_M_right->_M_color = _S_rb_tree_black;
_Rb_tree_rotate_left(__x_parent, __root);
break;
}
} else { // same as above, with _M_right <-> _M_left.
_Rb_tree_node_base* __w = __x_parent->_M_left;
if (__w->_M_color == _S_rb_tree_red) {
__w->_M_color = _S_rb_tree_black;
__x_parent->_M_color = _S_rb_tree_red;
_Rb_tree_rotate_right(__x_parent, __root);
__w = __x_parent->_M_left;
}
if ((__w->_M_right == 0 ||
__w->_M_right->_M_color == _S_rb_tree_black) &&
(__w->_M_left == 0 ||
__w->_M_left->_M_color == _S_rb_tree_black)) {
__w->_M_color = _S_rb_tree_red;
__x = __x_parent;
__x_parent = __x_parent->_M_parent;
} else {
if (__w->_M_left == 0 ||
__w->_M_left->_M_color == _S_rb_tree_black) {
if (__w->_M_right) __w->_M_right->_M_color = _S_rb_tree_black;
__w->_M_color = _S_rb_tree_red;
_Rb_tree_rotate_left(__w, __root);
__w = __x_parent->_M_left;
}
__w->_M_color = __x_parent->_M_color;
__x_parent->_M_color = _S_rb_tree_black;
if (__w->_M_left) __w->_M_left->_M_color = _S_rb_tree_black;
_Rb_tree_rotate_right(__x_parent, __root);
break;
}
}
if (__x) __x->_M_color = _S_rb_tree_black;
}
return __y;
}
// Base class to encapsulate the differences between old SGI-style
// allocators and standard-conforming allocators. In order to avoid
// having an empty base class, we arbitrarily move one of rb_tree's
// data members into the base class.
#ifdef __STL_USE_STD_ALLOCATORS
// _Base for general standard-conforming allocators.
template <class _Tp, class _Alloc, bool _S_instanceless>
class _Rb_tree_alloc_base {
public:
typedef typename _Alloc_traits<_Tp, _Alloc>::allocator_type allocator_type;
allocator_type get_allocator() const { return _M_node_allocator; }
_Rb_tree_alloc_base(const allocator_type& __a)
: _M_node_allocator(__a), _M_header(0) {}
protected:
typename _Alloc_traits<_Rb_tree_node<_Tp>, _Alloc>::allocator_type
_M_node_allocator;
_Rb_tree_node<_Tp>* _M_header;
_Rb_tree_node<_Tp>* _M_get_node()
{ return _M_node_allocator.allocate(1); }
void _M_put_node(_Rb_tree_node<_Tp>* __p)
{ _M_node_allocator.deallocate(__p, 1); }
};
// Specialization for instanceless allocators.
template <class _Tp, class _Alloc>
class _Rb_tree_alloc_base<_Tp, _Alloc, true> {
public:
typedef typename _Alloc_traits<_Tp, _Alloc>::allocator_type allocator_type;
allocator_type get_allocator() const { return allocator_type(); }
_Rb_tree_alloc_base(const allocator_type&) : _M_header(0) {}
protected:
_Rb_tree_node<_Tp>* _M_header;
typedef typename _Alloc_traits<_Rb_tree_node<_Tp>, _Alloc>::_Alloc_type
_Alloc_type;
_Rb_tree_node<_Tp>* _M_get_node()
{ return _Alloc_type::allocate(1); }
void _M_put_node(_Rb_tree_node<_Tp>* __p)
{ _Alloc_type::deallocate(__p, 1); }
};
template <class _Tp, class _Alloc>
struct _Rb_tree_base
: public _Rb_tree_alloc_base<_Tp, _Alloc,
_Alloc_traits<_Tp, _Alloc>::_S_instanceless>
{
typedef _Rb_tree_alloc_base<_Tp, _Alloc,
_Alloc_traits<_Tp, _Alloc>::_S_instanceless>
_Base;
typedef typename _Base::allocator_type allocator_type;
_Rb_tree_base(const allocator_type& __a)
: _Base(__a) { _M_header = _M_get_node(); }
~_Rb_tree_base() { _M_put_node(_M_header); }
};
#else /* __STL_USE_STD_ALLOCATORS */
template <class _Tp, class _Alloc>
struct _Rb_tree_base
{
typedef _Alloc allocator_type;
allocator_type get_allocator() const { return allocator_type(); }
_Rb_tree_base(const allocator_type&)
: _M_header(0) { _M_header = _M_get_node(); }
~_Rb_tree_base() { _M_put_node(_M_header); }
protected:
_Rb_tree_node<_Tp>* _M_header;
typedef simple_alloc<_Rb_tree_node<_Tp>, _Alloc> _Alloc_type;
_Rb_tree_node<_Tp>* _M_get_node()
{ return _Alloc_type::allocate(1); }
void _M_put_node(_Rb_tree_node<_Tp>* __p)
{ _Alloc_type::deallocate(__p, 1); }
};
#endif /* __STL_USE_STD_ALLOCATORS */
template <class _Key, class _Value, class _KeyOfValue, class _Compare,
class _Alloc = __STL_DEFAULT_ALLOCATOR(_Value) >
class _Rb_tree : protected _Rb_tree_base<_Value, _Alloc> {
typedef _Rb_tree_base<_Value, _Alloc> _Base;
protected:
typedef _Rb_tree_node_base* _Base_ptr;
typedef _Rb_tree_node<_Value> _Rb_tree_node;
typedef _Rb_tree_Color_type _Color_type;
public:
typedef _Key key_type;
typedef _Value value_type;
typedef value_type* pointer;
typedef const value_type* const_pointer;
typedef value_type& reference;
typedef const value_type& const_reference;
typedef _Rb_tree_node* _Link_type;
typedef size_t size_type;
typedef ptrdiff_t difference_type;
typedef typename _Base::allocator_type allocator_type;
allocator_type get_allocator() const { return _Base::get_allocator(); }
protected:
#ifdef __STL_USE_NAMESPACES
using _Base::_M_get_node;
using _Base::_M_put_node;
using _Base::_M_header;
#endif /* __STL_USE_NAMESPACES */
protected:
_Link_type _M_create_node(const value_type& __x)
{
_Link_type __tmp = _M_get_node();
__STL_TRY {
construct(&__tmp->_M_value_field, __x);
}
__STL_UNWIND(_M_put_node(__tmp));
return __tmp;
}
_Link_type _M_clone_node(_Link_type __x)
{
_Link_type __tmp = _M_create_node(__x->_M_value_field);
__tmp->_M_color = __x->_M_color;
__tmp->_M_left = 0;
__tmp->_M_right = 0;
return __tmp;
}
void destroy_node(_Link_type __p)
{
destroy(&__p->_M_value_field);
_M_put_node(__p);
}
protected:
size_type _M_node_count; // keeps track of size of tree
_Compare _M_key_compare;
_Link_type& _M_root() const
{ return (_Link_type&) _M_header->_M_parent; }
_Link_type& _M_leftmost() const
{ return (_Link_type&) _M_header->_M_left; }
_Link_type& _M_rightmost() const
{ return (_Link_type&) _M_header->_M_right; }
static _Link_type& _S_left(_Link_type __x)
{ return (_Link_type&)(__x->_M_left); }
static _Link_type& _S_right(_Link_type __x)
{ return (_Link_type&)(__x->_M_right); }
static _Link_type& _S_parent(_Link_type __x)
{ return (_Link_type&)(__x->_M_parent); }
static reference _S_value(_Link_type __x)
{ return __x->_M_value_field; }
static const _Key& _S_key(_Link_type __x)
{ return _KeyOfValue()(_S_value(__x)); }
static _Color_type& _S_color(_Link_type __x)
{ return (_Color_type&)(__x->_M_color); }
static _Link_type& _S_left(_Base_ptr __x)
{ return (_Link_type&)(__x->_M_left); }
static _Link_type& _S_right(_Base_ptr __x)
{ return (_Link_type&)(__x->_M_right); }
static _Link_type& _S_parent(_Base_ptr __x)
{ return (_Link_type&)(__x->_M_parent); }
static reference _S_value(_Base_ptr __x)
{ return ((_Link_type)__x)->_M_value_field; }
static const _Key& _S_key(_Base_ptr __x)
{ return _KeyOfValue()(_S_value(_Link_type(__x)));}
static _Color_type& _S_color(_Base_ptr __x)
{ return (_Color_type&)(_Link_type(__x)->_M_color); }
static _Link_type _S_minimum(_Link_type __x)
{ return (_Link_type) _Rb_tree_node_base::_S_minimum(__x); }
static _Link_type _S_maximum(_Link_type __x)
{ return (_Link_type) _Rb_tree_node_base::_S_maximum(__x); }
public:
typedef _Rb_tree_iterator<value_type, reference, pointer> iterator;
typedef _Rb_tree_iterator<value_type, const_reference, const_pointer>
const_iterator;
#ifdef __STL_CLASS_PARTIAL_SPECIALIZATION
typedef reverse_iterator<const_iterator> const_reverse_iterator;
typedef reverse_iterator<iterator> reverse_iterator;
#else /* __STL_CLASS_PARTIAL_SPECIALIZATION */
typedef reverse_bidirectional_iterator<iterator, value_type, reference,
difference_type>
reverse_iterator;
typedef reverse_bidirectional_iterator<const_iterator, value_type,
const_reference, difference_type>
const_reverse_iterator;
#endif /* __STL_CLASS_PARTIAL_SPECIALIZATION */
private:
iterator _M_insert(_Base_ptr __x, _Base_ptr __y, const value_type& __v);
_Link_type _M_copy(_Link_type __x, _Link_type __p);
void _M_erase(_Link_type __x);
public:
// allocation/deallocation
_Rb_tree()
: _Base(allocator_type()), _M_node_count(0), _M_key_compare()
{ _M_empty_initialize(); }
_Rb_tree(const _Compare& __comp)
: _Base(allocator_type()), _M_node_count(0), _M_key_compare(__comp)
{ _M_empty_initialize(); }
_Rb_tree(const _Compare& __comp, const allocator_type& __a)
: _Base(__a), _M_node_count(0), _M_key_compare(__comp)
{ _M_empty_initialize(); }
_Rb_tree(const _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __x)
: _Base(__x.get_allocator()),
_M_node_count(0), _M_key_compare(__x._M_key_compare)
{
if (__x._M_root() == 0)
_M_empty_initialize();
else {
_S_color(_M_header) = _S_rb_tree_red;
_M_root() = _M_copy(__x._M_root(), _M_header);
_M_leftmost() = _S_minimum(_M_root());
_M_rightmost() = _S_maximum(_M_root());
}
_M_node_count = __x._M_node_count;
}
~_Rb_tree() { clear(); }
_Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>&
operator=(const _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __x);
private:
void _M_empty_initialize() {
_S_color(_M_header) = _S_rb_tree_red; // used to distinguish header from
// __root, in iterator.operator++
_M_root() = 0;
_M_leftmost() = _M_header;
_M_rightmost() = _M_header;
}
public:
// accessors:
_Compare key_comp() const { return _M_key_compare; }
iterator begin() { return _M_leftmost(); }
const_iterator begin() const { return _M_leftmost(); }
iterator end() { return _M_header; }
const_iterator end() const { return _M_header; }
reverse_iterator rbegin() { return reverse_iterator(end()); }
const_reverse_iterator rbegin() const {
return const_reverse_iterator(end());
}
reverse_iterator rend() { return reverse_iterator(begin()); }
const_reverse_iterator rend() const {
return const_reverse_iterator(begin());
}
bool empty() const { return _M_node_count == 0; }
size_type size() const { return _M_node_count; }
size_type max_size() const { return size_type(-1); }
void swap(_Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __t) {
__STD::swap(_M_header, __t._M_header);
__STD::swap(_M_node_count, __t._M_node_count);
__STD::swap(_M_key_compare, __t._M_key_compare);
}
public:
// insert/erase
pair<iterator,bool> insert_unique(const value_type& __x);
iterator insert_equal(const value_type& __x);
// 将x插入到RB-tree中(保持节点值独一无二)
iterator insert_unique(iterator __position, const value_type& __x);
// 将x插入到RB-tree中(允许节点重复)
iterator insert_equal(iterator __position, const value_type& __x);
#ifdef __STL_MEMBER_TEMPLATES
template <class _InputIterator>
void insert_unique(_InputIterator __first, _InputIterator __last);
template <class _InputIterator>
void insert_equal(_InputIterator __first, _InputIterator __last);
#else /* __STL_MEMBER_TEMPLATES */
void insert_unique(const_iterator __first, const_iterator __last);
void insert_unique(const value_type* __first, const value_type* __last);
void insert_equal(const_iterator __first, const_iterator __last);
void insert_equal(const value_type* __first, const value_type* __last);
#endif /* __STL_MEMBER_TEMPLATES */
void erase(iterator __position);
size_type erase(const key_type& __x);
void erase(iterator __first, iterator __last);
void erase(const key_type* __first, const key_type* __last);
void clear() {
if (_M_node_count != 0) {
_M_erase(_M_root());
_M_leftmost() = _M_header;
_M_root() = 0;
_M_rightmost() = _M_header;
_M_node_count = 0;
}
}
public:
// set operations:
iterator find(const key_type& __x);
const_iterator find(const key_type& __x) const;
size_type count(const key_type& __x) const;
iterator lower_bound(const key_type& __x);
const_iterator lower_bound(const key_type& __x) const;
iterator upper_bound(const key_type& __x);
const_iterator upper_bound(const key_type& __x) const;
pair<iterator,iterator> equal_range(const key_type& __x);
pair<const_iterator, const_iterator> equal_range(const key_type& __x) const;
public:
// Debugging.
bool __rb_verify() const;
};
template <class _Key, class _Value, class _KeyOfValue,
class _Compare, class _Alloc>
inline bool
operator==(const _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __x,
const _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __y)
{
return __x.size() == __y.size() &&
equal(__x.begin(), __x.end(), __y.begin());
}
template <class _Key, class _Value, class _KeyOfValue,
class _Compare, class _Alloc>
inline bool
operator<(const _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __x,
const _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __y)
{
return lexicographical_compare(__x.begin(), __x.end(),
__y.begin(), __y.end());
}
#ifdef __STL_FUNCTION_TMPL_PARTIAL_ORDER
template <class _Key, class _Value, class _KeyOfValue,
class _Compare, class _Alloc>
inline bool
operator!=(const _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __x,
const _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __y) {
return !(__x == __y);
}
template <class _Key, class _Value, class _KeyOfValue,
class _Compare, class _Alloc>
inline bool
operator>(const _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __x,
const _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __y) {
return __y < __x;
}
template <class _Key, class _Value, class _KeyOfValue,
class _Compare, class _Alloc>
inline bool
operator<=(const _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __x,
const _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __y) {
return !(__y < __x);
}
template <class _Key, class _Value, class _KeyOfValue,
class _Compare, class _Alloc>
inline bool
operator>=(const _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __x,
const _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __y) {
return !(__x < __y);
}
template <class _Key, class _Value, class _KeyOfValue,
class _Compare, class _Alloc>
inline void
swap(_Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __x,
_Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __y)
{
__x.swap(__y);
}
#endif /* __STL_FUNCTION_TMPL_PARTIAL_ORDER */
template <class _Key, class _Value, class _KeyOfValue,
class _Compare, class _Alloc>
_Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>&
_Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>
::operator=(const _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __x)
{
if (this != &__x) {
// Note that _Key may be a constant type.
clear();
_M_node_count = 0;
_M_key_compare = __x._M_key_compare;
if (__x._M_root() == 0) {
_M_root() = 0;
_M_leftmost() = _M_header;
_M_rightmost() = _M_header;
}
else {
_M_root() = _M_copy(__x._M_root(), _M_header);
_M_leftmost() = _S_minimum(_M_root());
_M_rightmost() = _S_maximum(_M_root());
_M_node_count = __x._M_node_count;
}
}
return *this;
}
// 真正的插入程序
template <class _Key, class _Value, class _KeyOfValue,
class _Compare, class _Alloc>
typename _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::iterator
_Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>
::_M_insert(_Base_ptr __x_, _Base_ptr __y_, const _Value& __v)
{
// 参数__x_是新值插入点,__y_是插入点的父节点,__v是新值
_Link_type __x = (_Link_type) __x_;
_Link_type __y = (_Link_type) __y_;
_Link_type __z;
// _M_key_compare是键值大小比较准则,应该会是个function object
if (__y == _M_header || __x != 0 ||
_M_key_compare(_KeyOfValue()(__v), _S_key(__y))) {
__z = _M_create_node(__v);
_S_left(__y) = __z; // also makes _M_leftmost() = __z
// when __y == _M_header
if (__y == _M_header) {
_M_root() = __z;
_M_rightmost() = __z;
}
else if (__y == _M_leftmost())
_M_leftmost() = __z; // maintain _M_leftmost() pointing to min node
}
else {
__z = _M_create_node(__v);
_S_right(__y) = __z;
if (__y == _M_rightmost())
_M_rightmost() = __z; // maintain _M_rightmost() pointing to max node
}
_S_parent(__z) = __y;
_S_left(__z) = 0;
_S_right(__z) = 0;
_Rb_tree_rebalance(__z, _M_header->_M_parent);
++_M_node_count;
return iterator(__z);
}
// 插入新值:节点键值允许重复
// 注意,返回值是一个 RB-tree 迭代器,指向新增节点。
template <class _Key, class _Value, class _KeyOfValue,
class _Compare, class _Alloc>
typename _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::iterator
_Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>
::insert_equal(const _Value& __v)
{
_Link_type __y = _M_header;
_Link_type __x = _M_root();
while (__x != 0) {
__y = __x;
__x = _M_key_compare(_KeyOfValue()(__v), _S_key(__x)) ?
_S_left(__x) : _S_right(__x);
}
// __x是新插入点,__y是插入点的父节点,__v是新值
return _M_insert(__x, __y, __v);
}
// 插入新值:节点键值不允许重复,若重复则插入无效
// 注意,返回的是一个pair,第一个元素是个RB-tree的迭代器,指向新增节点,
// 第二个元素表示插入成功与否。
template <class _Key, class _Value, class _KeyOfValue,
class _Compare, class _Alloc>
pair<typename _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::iterator,
bool>
_Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>
::insert_unique(const _Value& __v)
{
_Link_type __y = _M_header;
_Link_type __x = _M_root();
bool __comp = true;
while (__x != 0) {
__y = __x;
__comp = _M_key_compare(_KeyOfValue()(__v), _S_key(__x));
__x = __comp ? _S_left(__x) : _S_right(__x);
}
iterator __j = iterator(__y); // 把__j作为插入节点的父节点
// 如果__comp = true,表示将插入左侧
if (__comp)
if (__j == begin()) // 表示插入节点的父节点是最左节点
return pair<iterator,bool>(_M_insert(__x, __y, __v), true);
else
--__j;
// 小于新值,将在右侧插入。
if (_M_key_compare(_S_key(__j._M_node), _KeyOfValue()(__v)))
return pair<iterator,bool>(_M_insert(__x, __y, __v), true);
// 此处表示新值一定与树中的键值重复,那么就不插入新值。
return pair<iterator,bool>(__j, false);
}
template <class _Key, class _Val, class _KeyOfValue,
class _Compare, class _Alloc>
typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
_Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>
::insert_unique(iterator __position, const _Val& __v)
{
if (__position._M_node == _M_header->_M_left) { // begin()
if (size() > 0 &&
_M_key_compare(_KeyOfValue()(__v), _S_key(__position._M_node)))
return _M_insert(__position._M_node, __position._M_node, __v);
// first argument just needs to be non-null
else
return insert_unique(__v).first;
} else if (__position._M_node == _M_header) { // end()
if (_M_key_compare(_S_key(_M_rightmost()), _KeyOfValue()(__v)))
return _M_insert(0, _M_rightmost(), __v);
else
return insert_unique(__v).first;
} else {
iterator __before = __position;
--__before;
if (_M_key_compare(_S_key(__before._M_node), _KeyOfValue()(__v))
&& _M_key_compare(_KeyOfValue()(__v), _S_key(__position._M_node))) {
if (_S_right(__before._M_node) == 0)
return _M_insert(0, __before._M_node, __v);
else
return _M_insert(__position._M_node, __position._M_node, __v);
// first argument just needs to be non-null
} else
return insert_unique(__v).first;
}
}
template <class _Key, class _Val, class _KeyOfValue,
class _Compare, class _Alloc>
typename _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::iterator
_Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>
::insert_equal(iterator __position, const _Val& __v)
{
if (__position._M_node == _M_header->_M_left) { // begin()
if (size() > 0 &&
!_M_key_compare(_S_key(__position._M_node), _KeyOfValue()(__v)))
return _M_insert(__position._M_node, __position._M_node, __v);
// first argument just needs to be non-null
else
return insert_equal(__v);
} else if (__position._M_node == _M_header) {// end()