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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
//鲁道夫-贝尔：RB-tree的设计者;
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;
//双层架构：_Rb_tree_node_base;_Rb_tree_node;
//优点：弹性更大
struct _Rb_tree_node_base
{
typedef _Rb_tree_Color_type _Color_type;
typedef _Rb_tree_node_base* _Base_ptr;
_Color_type _M_color;
_Base_ptr _M_parent;
_Base_ptr _M_left;
_Base_ptr _M_right;
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;
};
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;
//_M_increment函数和_M_decrement函数的时间复杂度都是o(logN)
//求解下一个节点：有3种情况
void _M_increment()
{
if (_M_node->_M_right != 0) {//第1种情况：如果有右孩子，则右子树的最小值节点即为解答；
_M_node = _M_node->_M_right;
while (_M_node->_M_left != 0)
_M_node = _M_node->_M_left;
}
else {//如果没有右子树
_Base_ptr __y = _M_node->_M_parent;
while (_M_node == __y->_M_right) {//第2种情况：向上寻找最低祖先节点，并且要求当前节点为父亲节点的左孩子，若
_M_node = __y; //此时满足_M_node==__y->_M_left,则__y节点即为解答；
__y = __y->_M_parent;
}
if (_M_node->_M_right != __y)//对于红黑树中只有一个根节点的情况，不需要进行_M_node=__y的操作，__header节点为解答；
_M_node = __y;
}
}
void _M_decrement()
{
if (_M_node->_M_color == _S_rb_tree_red &&//针对特殊的情况：只有一个根节点，并且此时_M_node为header；
_M_node->_M_parent->_M_parent == _M_node)
_M_node = _M_node->_M_right;//根节点即为解答
else if (_M_node->_M_left != 0) {//情况2：当_M_node有左孩子时，左子树的最大值即为解答；
_Base_ptr __y = _M_node->_M_left;
while (__y->_M_right != 0)
__y = __y->_M_right;
_M_node = __y;
}
else {//情况3：向上寻找分界点，如果_M_node==__y->_M_right，则此时__y即为解答。
_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
{
//迭代器的另外3种性别属性
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;
//3个构造函数
_Rb_tree_iterator() {}
_Rb_tree_iterator(_Link_type __x) { _M_node = __x; }//_Rb_tree_node<_Value>*类型到_Rb_tree_node_base*类型的转换
_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 */
//左旋操作：时间复杂度为o(1)
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;//第一部分
if (__y->_M_left !=0)
__y->_M_left->_M_parent = __x;
__y->_M_parent = __x->_M_parent;//第二部分
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;//第三部分
__x->_M_parent = __y;
}
//右旋操作：时间复杂度为o(1)
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;
}
//_Rb_tree_rebalance函数的时间复杂度为o(logN)
//插入一个节点后的平衡调整算法
//程序所做的旋转操作次数从不超过两次
inline void
_Rb_tree_rebalance(_Rb_tree_node_base* __x, _Rb_tree_node_base*& __root)
{
__x->_M_color = _S_rb_tree_red;
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) {//情况1：叔父节点为红色--将__x节点上调；
__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 {//叔父节点为黑色
if (__x == __x->_M_parent->_M_right) {//情况2：__x的父亲节点为左孩子但__x为右孩子--左旋后转到情况3；
__x = __x->_M_parent;
_Rb_tree_rotate_left(__x, __root);
}
__x->_M_parent->_M_color = _S_rb_tree_black;//情况3：__x和__x的父亲节点均为左孩子；
__x->_M_parent->_M_parent->_M_color = _S_rb_tree_red;
_Rb_tree_rotate_right(__x->_M_parent->_M_parent, __root);
}
}
else {//与上面的情况完全对称
_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;//对根节点的颜色进行设置
}
//删除一个节点，同时进行调整，时间复杂度为o(logN)
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;
//判断要删除的节点__z有几个孩子
if (__y->_M_left == 0) // 情况A：只有右孩子或者没有孩子
__x = __y->_M_right;
else
if (__y->_M_right == 0) // 情况B：只有左孩子
__x = __y->_M_left; //
else { // 情况C：有两个孩子
__y = __y->_M_right; //
while (__y->_M_left != 0)
__y = __y->_M_left;
__x = __y->_M_right;
}
if (__y != __z) { // 针对情况C有两个孩子的情况，用__z的后继节点代替__z节点
__z->_M_left->_M_parent = __y; //建立__y与__z->_M_left之间的关系;其中__y节点为__z节点的后继节点;
__y->_M_left = __z->_M_left;
if (__y != __z->_M_right) {//__z的后继节点不是__z的右孩子的情况
__x_parent = __y->_M_parent;
if (__x) __x->_M_parent = __y->_M_parent;//建立__y->_M_parent节点与__x(__y->_M_right)之间的关系;
__y->_M_parent->_M_left = __x; // __y must be a child of _M_left
__y->_M_right = __z->_M_right;//建立__z->_M_right与__y节点之间的关系;
__z->_M_right->_M_parent = __y;
}
else
__x_parent = __y;
if (__root == __z)//建立__z->_M_parent与__y节点之间的关系;
__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 {//被删除节点__z最多只有一个孩子的情况
__x_parent = __y->_M_parent;
if (__x) __x->_M_parent = __y->_M_parent; //建立__x(__y的非空孩子节点或者空孩子节点)与__y->_M_parent节点之间的关系;
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) //如果最小的节点被删除，需重新设置__leftmost
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)//如果最大的节点被删除，需重新设置__rightmost
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);
}
//删除节点后进行调整的策略
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) {//情况1：__x的兄弟节点__w为红色--转到情况2,3,4,；
__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 || //情况2：__x的兄弟节点__w为黑色，而且__w的两个孩子节点均为黑色--转到情况1,2,3,4；
__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) {//情况3：__x的兄弟节点__w为黑色，__w的左孩子为红色，右孩子为黑色
if (__w->_M_left) __w->_M_left->_M_color = _S_rb_tree_black;//转到4
__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;//情况4：__x的兄弟节点__w为黑色，__w的右孩子为红色--修复，结束。
__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 { // 对称处理，进行调整
_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 */
//红黑树类的定义
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;
//_M_header的存在，很大地方便了最大值和最小值的求解
_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; }
//节点的属性接口
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:
//构造函数
_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:
//辅助函数
void _M_empty_initialize() {
_M_header=_M_get_node();//原版此处没有
_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);
iterator insert_unique(iterator __position, const value_type& __x);
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;
}
//参数__x为新值插入的节点，__y为新值插入节点的父节点
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>
::_M_insert(_Base_ptr __x_, _Base_ptr __y_, const _Value& __v)
{
_Link_type __x = (_Link_type) __x_;
_Link_type __y = (_Link_type) __y_;
_Link_type __z;
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);
}
//允许键值重复
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);
}
return _M_insert(__x, __y, __v);
}
//不允许键值重复，否则插入无效
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);
}
//此时__x即为安插点，__y为安插点的父节点
iterator __j = iterator(__y);
if (__comp)//安插到左侧
if (__j == begin())
return pair<iterator,bool>(_M_insert(__x, __y, __v), true);
else
--__j;
if (_M_key_compare(_S_key(__j._M_node), _KeyOfValue()(__v)))//安插到右侧
return pair<iterator,bool>(_M_insert(__x, __y, __v), true);
return pair<iterator,bool>(__j, false);//安插失败的情况
}
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>