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RB-tree(红黑树)
--------------------------------------------------------------------------#ifndef __SGI_STL_INTERNAL_TREE_H
#define __SGI_STL_INTERNAL_TREE_H
#include <stl_algobase.h>
#include <stl_alloc.h>
#include <stl_construct.h>
#include <stl_function.h>
__STL_BEGIN_NAMESPACE
typedef bool __rb_tree_color_type;
const __rb_tree_color_type __rb_tree_red = false; //红色为0
const __rb_tree_color_type __rb_tree_black = true; //黑色为1
struct __rb_tree_node_base
{
typedef __rb_tree_color_type color_type;
typedef __rb_tree_node_base* base_ptr;
color_type color; //节点颜色，非红即黑
base_ptr parent; //RB-tree 的各种操作时常需要上溯其你节点，所以要特别在数据结构中安排一个 parent 指针
base_ptr left; //指向左节点
base_ptr right; //指向右节点
//一直向左走，就会找到最小值
static base_ptr minimum(base_ptr x)
{
while (x->left != 0) x = x->left;
return x;
}
//一直向右走，就会找到最大值
static base_ptr maximum(base_ptr x)
{
while (x->right != 0) x = x->right;
return x;
}
};
template <class Value>
struct __rb_tree_node : public __rb_tree_node_base
{
typedef __rb_tree_node<Value>* link_type;
Value 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 node; // 用来与容器之间产生一个连结关系
void increment() //逻辑有点复杂，画张图看看比较好懂
{
if (node->right != 0) { //如果有右子节点
node = node->right; //就向右走
while (node->left != 0) //然后一直往左子树走到底
node = node->left; //既是解答
}
else { //没有右子节点
base_ptr y = node->parent; //找到父节点
while (node == y->right) { //如果现行节点本身是个右子节点
node = y; //就一直上溯，直到"不为右子节点"止
y = y->parent;
}
if (node->right != y) //若此时的右子节点不等于此时的父节点
node = y; //此时的父节点即为解答，否则此时的 node 为解答
}
}
void decrement() //这个的逻辑更复杂。。。
{
if (node->color == __rb_tree_red && //如果是红节点，且父节点的父节点等于自己，右子节点即为解答 --> 什么情况父节点的父节点等于自己？
node->parent->parent == node)
node = node->right;
else if (node->left != 0) {
base_ptr y = node->left;
while (y->right != 0)
y = y->right;
node = y;
}
else {
base_ptr y = node->parent;
while (node == y->left) {
node = y;
y = y->parent;
}
node = y;
}
}
};
//RB-tree 的正规迭代器
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) { node = x; }
__rb_tree_iterator(const iterator& it) { node = it.node; }
reference operator*() const { return link_type(node)->value_field; }
#ifndef __SGI_STL_NO_ARROW_OPERATOR
pointer operator->() const { return &(operator*()); }
#endif /* __SGI_STL_NO_ARROW_OPERATOR */
self& operator++() { increment(); return *this; }
self operator++(int) {
self tmp = *this;
increment();
return tmp;
}
self& operator--() { decrement(); return *this; }
self operator--(int) {
self tmp = *this;
decrement();
return tmp;
}
};
inline bool operator==(const __rb_tree_base_iterator& x,
const __rb_tree_base_iterator& y) {
return x.node == y.node;
}
inline bool operator!=(const __rb_tree_base_iterator& x,
const __rb_tree_base_iterator& y) {
return x.node != y.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 */
inline void
__rb_tree_rotate_left(__rb_tree_node_base* x, __rb_tree_node_base*& root)
{
__rb_tree_node_base* y = x->right;
x->right = y->left;
if (y->left !=0)
y->left->parent = x;
y->parent = x->parent;
if (x == root)
root = y;
else if (x == x->parent->left)
x->parent->left = y;
else
x->parent->right = y;
y->left = x;
x->parent = y;
}
inline void
__rb_tree_rotate_right(__rb_tree_node_base* x, __rb_tree_node_base*& root)
{
__rb_tree_node_base* y = x->left;
x->left = y->right;
if (y->right != 0)
y->right->parent = x;
y->parent = x->parent;
if (x == root)
root = y;
else if (x == x->parent->right)
x->parent->right = y;
else
x->parent->left = y;
y->right = x;
x->parent = y;
}
//重新令树形平衡(改变颜色及旋转树形)
//参数一为新增节点，参数二为 root
inline void
__rb_tree_rebalance(__rb_tree_node_base* x, __rb_tree_node_base*& root)
{
x->color = __rb_tree_red; //新节点为红
//父节点为红的时候才要令树形平衡
while (x != root && x->parent->color == __rb_tree_red) {
//父节点是祖父节点的左子节点
if (x->parent == x->parent->parent->left) {
__rb_tree_node_base* y = x->parent->parent->right;
//伯父节点存在，且为红 --> 变色即可
if (y && y->color == __rb_tree_red) {
x->parent->color = __rb_tree_black;
y->color = __rb_tree_black;
x->parent->parent->color = __rb_tree_red;
x = x->parent->parent;
}
//无伯父节点，或者伯父节点为黑 --> 旋转
else {
if (x == x->parent->right) {
x = x->parent;
__rb_tree_rotate_left(x, root);
}
x->parent->color = __rb_tree_black;
x->parent->parent->color = __rb_tree_red;
__rb_tree_rotate_right(x->parent->parent, root);
}
}
//父节点是祖父节点的右子节点
else {
__rb_tree_node_base* y = x->parent->parent->left;
//伯父节点存在，且为红 --> 变色即可
if (y && y->color == __rb_tree_red) {
x->parent->color = __rb_tree_black;
y->color = __rb_tree_black;
x->parent->parent->color = __rb_tree_red;
x = x->parent->parent;
}
//无伯父节点，或者伯父节点为黑 --> 旋转
else {
if (x == x->parent->left) {
x = x->parent;
__rb_tree_rotate_right(x, root);
}
x->parent->color = __rb_tree_black;
x->parent->parent->color = __rb_tree_red;
__rb_tree_rotate_left(x->parent->parent, root);
}
}
}
root->color = __rb_tree_black; //根节点必须为黑色
}
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->left == 0) // z has at most one non-null child. y == z.
x = y->right; // x might be null.
else
if (y->right == 0) // z has exactly one non-null child. y == z.
x = y->left; // x is not null.
else { // z has two non-null children. Set y to
y = y->right; // z's successor. x might be null.
while (y->left != 0)
y = y->left;
x = y->right;
}
if (y != z) { // relink y in place of z. y is z's successor
z->left->parent = y;
y->left = z->left;
if (y != z->right) {
x_parent = y->parent;
if (x) x->parent = y->parent;
y->parent->left = x; // y must be a left child
y->right = z->right;
z->right->parent = y;
}
else
x_parent = y;
if (root == z)
root = y;
else if (z->parent->left == z)
z->parent->left = y;
else
z->parent->right = y;
y->parent = z->parent;
__STD::swap(y->color, z->color);
y = z;
// y now points to node to be actually deleted
}
else { // y == z
x_parent = y->parent;
if (x) x->parent = y->parent;
if (root == z)
root = x;
else
if (z->parent->left == z)
z->parent->left = x;
else
z->parent->right = x;
if (leftmost == z)
if (z->right == 0) // z->left must be null also
leftmost = z->parent;
// makes leftmost == header if z == root
else
leftmost = __rb_tree_node_base::minimum(x);
if (rightmost == z)
if (z->left == 0) // z->right must be null also
rightmost = z->parent;
// makes rightmost == header if z == root
else // x == z->left
rightmost = __rb_tree_node_base::maximum(x);
}
if (y->color != __rb_tree_red) {
while (x != root && (x == 0 || x->color == __rb_tree_black))
if (x == x_parent->left) {
__rb_tree_node_base* w = x_parent->right;
if (w->color == __rb_tree_red) {
w->color = __rb_tree_black;
x_parent->color = __rb_tree_red;
__rb_tree_rotate_left(x_parent, root);
w = x_parent->right;
}
if ((w->left == 0 || w->left->color == __rb_tree_black) &&
(w->right == 0 || w->right->color == __rb_tree_black)) {
w->color = __rb_tree_red;
x = x_parent;
x_parent = x_parent->parent;
} else {
if (w->right == 0 || w->right->color == __rb_tree_black) {
if (w->left) w->left->color = __rb_tree_black;
w->color = __rb_tree_red;
__rb_tree_rotate_right(w, root);
w = x_parent->right;
}
w->color = x_parent->color;
x_parent->color = __rb_tree_black;
if (w->right) w->right->color = __rb_tree_black;
__rb_tree_rotate_left(x_parent, root);
break;
}
} else { // same as above, with right <-> left.
__rb_tree_node_base* w = x_parent->left;
if (w->color == __rb_tree_red) {
w->color = __rb_tree_black;
x_parent->color = __rb_tree_red;
__rb_tree_rotate_right(x_parent, root);
w = x_parent->left;
}
if ((w->right == 0 || w->right->color == __rb_tree_black) &&
(w->left == 0 || w->left->color == __rb_tree_black)) {
w->color = __rb_tree_red;
x = x_parent;
x_parent = x_parent->parent;
} else {
if (w->left == 0 || w->left->color == __rb_tree_black) {
if (w->right) w->right->color = __rb_tree_black;
w->color = __rb_tree_red;
__rb_tree_rotate_left(w, root);
w = x_parent->left;
}
w->color = x_parent->color;
x_parent->color = __rb_tree_black;
if (w->left) w->left->color = __rb_tree_black;
__rb_tree_rotate_right(x_parent, root);
break;
}
}
if (x) x->color = __rb_tree_black;
}
return y;
}
template <class Key, class Value, class KeyOfValue, class Compare,
class Alloc = alloc>
class rb_tree {
protected:
typedef void* void_pointer;
typedef __rb_tree_node_base* base_ptr;
typedef __rb_tree_node<Value> rb_tree_node;
typedef simple_alloc<rb_tree_node, Alloc> rb_tree_node_allocator;
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;
protected:
link_type get_node() { return rb_tree_node_allocator::allocate(); }
void put_node(link_type p) { rb_tree_node_allocator::deallocate(p); }
link_type create_node(const value_type& x) {
link_type tmp = get_node(); //配置空间
__STL_TRY {
construct(&tmp->value_field, x); //构造内容
}
__STL_UNWIND(put_node(tmp));
return tmp;
}
link_type clone_node(link_type x) { //复制一个节点
link_type tmp = create_node(x->value_field);
tmp->color = x->color;
tmp->left = 0;
tmp->right = 0;
return tmp;
}
void destroy_node(link_type p) {
destroy(&p->value_field); //析构内容
put_node(p); //释放内存
}
protected:
size_type node_count; // 记录树的节点数量
link_type header; //? header 是什么 ？-->
// 小技巧：为根节点设计的一个额外父节点
// header 的父节点指向根节点，左子节点指向最小节点，右子节点指向最大节点
Compare key_compare; //节点间的键值大小比较准则，是个 function object
// header 的 parent, left, right 分别记录了 根节点、最左节点、最右节点 ??
link_type& root() const { return (link_type&) header->parent; }
link_type& leftmost() const { return (link_type&) header->left; }
link_type& rightmost() const { return (link_type&) header->right; }
// 取得 x 的成员，x 的类型是 link_type
static link_type& left(link_type x) { return (link_type&)(x->left); }
static link_type& right(link_type x) { return (link_type&)(x->right); }
static link_type& parent(link_type x) { return (link_type&)(x->parent); }
static reference value(link_type x) { return x->value_field; }
static const Key& key(link_type x) { return KeyOfValue()(value(x)); } // ? KeyOfValue 是个 function object ? 在哪定义？
static color_type& color(link_type x) { return (color_type&)(x->color); }
// 取得 x 的成员，x 的类型是 base_ptr
static link_type& left(base_ptr x) { return (link_type&)(x->left); }
static link_type& right(base_ptr x) { return (link_type&)(x->right); }
static link_type& parent(base_ptr x) { return (link_type&)(x->parent); }
static reference value(base_ptr x) { return ((link_type)x)->value_field; }
static const Key& key(base_ptr x) { return KeyOfValue()(value(link_type(x)));}
static color_type& color(base_ptr x) { return (color_type&)(link_type(x)->color); }
//求取极大值和极小值。 node class 有实现此功能，交给它们完成
static link_type minimum(link_type x) {
return (link_type) __rb_tree_node_base::minimum(x);
}
static link_type maximum(link_type x) {
return (link_type) __rb_tree_node_base::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 __insert(base_ptr x, base_ptr y, const value_type& v);
link_type __copy(link_type x, link_type p);
void __erase(link_type x);
void init() {
header = get_node(); //产生一个节点空间，令 header 指向它
color(header) = __rb_tree_red; // used to distinguish header from --> 不懂为什么要将 header 设置为红色
// root, in iterator.operator++
root() = 0; //令 header 的父节点为 NULL
leftmost() = header; //令 header 的左子节点为自己
rightmost() = header; //令 header 的右子节点为自己
}
public:
// allocation/deallocation
rb_tree(const Compare& comp = Compare())
: node_count(0), key_compare(comp) { init(); }
rb_tree(const rb_tree<Key, Value, KeyOfValue, Compare, Alloc>& x)
: node_count(0), key_compare(x.key_compare)
{
header = get_node();
color(header) = __rb_tree_red;
if (x.root() == 0) {
root() = 0;
leftmost() = header;
rightmost() = header;
}
else {
__STL_TRY {
root() = __copy(x.root(), header);
}
__STL_UNWIND(put_node(header));
leftmost() = minimum(root());
rightmost() = maximum(root());
}
node_count = x.node_count;
}
~rb_tree() {
clear();
put_node(header);
}
rb_tree<Key, Value, KeyOfValue, Compare, Alloc>&
operator=(const rb_tree<Key, Value, KeyOfValue, Compare, Alloc>& x);
public:
// accessors:
Compare key_comp() const { return key_compare; }
iterator begin() { return leftmost(); } // RB 树的起头为最左节点处
const_iterator begin() const { return leftmost(); }
iterator end() { return header; } // RB 树的终点为 header 所指处 ？？
const_iterator end() const { return 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 node_count == 0; }
size_type size() const { return node_count; }
size_type max_size() const { return size_type(-1); }
void swap(rb_tree<Key, Value, KeyOfValue, Compare, Alloc>& t) {
__STD::swap(header, t.header);
__STD::swap(node_count, t.node_count);
__STD::swap(key_compare, t.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 (node_count != 0) {
__erase(root());
leftmost() = header;
root() = 0;
rightmost() = header;
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 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();
node_count = 0;
key_compare = x.key_compare;
if (x.root() == 0) {
root() = 0;
leftmost() = header;
rightmost() = header;
}
else {
root() = __copy(x.root(), header);
leftmost() = minimum(root());
rightmost() = maximum(root());
node_count = x.node_count;
}
}
return *this;
}
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(base_ptr x_, base_ptr y_, const Value& v) {
// x 为新值插入点， y 为插入点之父节点，v 为新值
link_type x = (link_type) x_;
link_type y = (link_type) y_;
link_type z;
// 遇"大"，往左插入新值
if (y == header || x != 0 || key_compare(KeyOfValue()(v), key(y))) { // x 不是一定等于 0 吗？
z = create_node(v);
left(y) = z;
if (y == header) { //这使得当 y 为 header 时(即此时树为空)， leftmost() = z
root() = z;
rightmost() = z;
}
else if (y == leftmost()) //当 y 为最左节点时，更新 leftmost() ，使它永远指向最左节点
leftmost() = z;
}
// 遇"小"，往右插入新值
else {
z = create_node(v);
right(y) = z;
if (y == rightmost()) //当 y 为最右节点时，更新 rightmost() ，使它永远指向最右节点
rightmost() = z;
}
// 新增的 z 节点的父、左、右节点
parent(z) = y;
left(z) = 0;
right(z) = 0;
//调整 RB-tree (旋转并改变颜色)
__rb_tree_rebalance(z, header->parent);
++node_count; //节点累计加1
return iterator(z); //返回指向新节点的迭代器
}
// 将 x 插入到 RB-tree 中(保持节点值独一无二)
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 = header; // y 记录父节点
link_type x = root();
while (x != 0) { //从根节点开始，往下寻找适当的插入点
y = x;
//遇"大"往左，遇"小于或等于"则往右
x = key_compare(KeyOfValue()(v), key(x)) ? left(x) : right(x); //KeyOfValue 是一个重载了 operator() 的类，语句 KeyOfValue() 产生了该类的一个对象，该对象可像函数一样被调用，称为函数对象
}
return __insert(x, y, v); // x 为新值插入点， y 为插入点之父节点， v 为新值
}
// 将 x 插入到 RB-tree 中(允许节点值重复)
// 返回一个 pair ，第一元素是个 RB-tree 迭代器，指向新增节点；第二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 = header;
link_type x = root(); //从根节点开始
bool comp = true;
while (x != 0) { //从根节点开始，往下寻找适当的插入点
y = x; //记录父节点
comp = key_compare(KeyOfValue()(v), key(x));
x = comp ? left(x) : right(x); //遇"大"则往左，遇"小于或等于"则往右
}
iterator j = iterator(y);
if (comp) //遇"大"，将插入于左侧
if (j == begin())
return pair<iterator,bool>(__insert(x, y, v), true);
else
--j;
if (key_compare(key(j.node), KeyOfValue()(v))) //遇"小"，将插入于右侧
return pair<iterator,bool>(__insert(x, y, v), true);
return pair<iterator,bool>(j, false); // 相等的，不插入
}
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.node == header->left) // begin()
if (size() > 0 && key_compare(KeyOfValue()(v), key(position.node)))
return __insert(position.node, position.node, v);
// first argument just needs to be non-null
else
return insert_unique(v).first;
else if (position.node == header) // end()
if (key_compare(key(rightmost()), KeyOfValue()(v)))
return __insert(0, rightmost(), v);
else
return insert_unique(v).first;
else {
iterator before = position;
--before;
if (key_compare(key(before.node), KeyOfValue()(v))
&& key_compare(KeyOfValue()(v), key(position.node)))
if (right(before.node) == 0)
return __insert(0, before.node, v);
else
return __insert(position.node, position.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.node == header->left) // begin()
if (size() > 0 && key_compare(KeyOfValue()(v), key(position.node)))
return __insert(position.node, position.node, v);
// first argument just needs to be non-null
else
return insert_equal(v);
else if (position.node == header) // end()
if (!key_compare(KeyOfValue()(v), key(rightmost())))
return __insert(0, rightmost(), v);
else
return insert_equal(v);
else {
iterator before = position;
--before;
if (!key_compare(KeyOfValue()(v), key(before.node))
&& !key_compare(key(position.node), KeyOfValue()(v)))
if (right(before.node) == 0)
return __insert(0, before.node, v);
else
return __insert(position.node, position.node, v);
// first argument just needs to be non-null
else
return insert_equal(v);
}
}
#ifdef __STL_MEMBER_TEMPLATES
template <class K, class V, class KoV, class Cmp, class Al> template<class II>
void rb_tree<K, V, KoV, Cmp, Al>::insert_equal(II first, II last) {
for ( ; first != last; ++first)
insert_equal(*first);
}
template <class K, class V, class KoV, class Cmp, class Al> template<class II>
void rb_tree<K, V, KoV, Cmp, Al>::insert_unique(II first, II last) {
for ( ; first != last; ++first)
insert_unique(*first);
}
#else /* __STL_MEMBER_TEMPLATES */
template <class K, class V, class KoV, class Cmp, class Al>
void
rb_tree<K, V, KoV, Cmp, Al>::insert_equal(const V* first, const V* last) {
for ( ; first != last; ++first)
insert_equal(*first);
}
template <class K, class V, class KoV, class Cmp, class Al>
void
rb_tree<K, V, KoV, Cmp, Al>::insert_equal(const_iterator first,
const_iterator last) {
for ( ; first != last; ++first)
insert_equal(*first);
}
template <class K, class V, class KoV, class Cmp, class A>
void
rb_tree<K, V, KoV, Cmp, A>::insert_unique(const V* first, const V* last) {
for ( ; first != last; ++first)
insert_unique(*first);
}
template <class K, class V, class KoV, class Cmp, class A>
void
rb_tree<K, V, KoV, Cmp, A>::insert_unique(const_iterator first,
const_iterator last) {
for ( ; first != last; ++first)
insert_unique(*first);
}
#endif /* __STL_MEMBER_TEMPLATES */
template <class Key, class Value, class KeyOfValue, class Compare, class Alloc>
inline void
rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::erase(iterator position) {
link_type y = (link_type) __rb_tree_rebalance_for_erase(position.node,
header->parent,
header->left,
header->right);
destroy_node(y);
--node_count;
}
template <class Key, class Value, class KeyOfValue, class Compare, class Alloc>
typename rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::size_type
rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::erase(const Key& x) {
pair<iterator,iterator> p = equal_range(x);
size_type n = 0;
distance(p.first, p.second, n);
erase(p.first, p.second);
return n;
}
template <class K, class V, class KeyOfValue, class Compare, class Alloc>
typename rb_tree<K, V, KeyOfValue, Compare, Alloc>::link_type
rb_tree<K, V, KeyOfValue, Compare, Alloc>::__copy(link_type x, link_type p) {
// structural copy. x and p must be non-null.
link_type top = clone_node(x);
top->parent = p;
__STL_TRY {
if (x->right)
top->right = __copy(right(x), top);
p = top;
x = left(x);
while (x != 0) {
link_type y = clone_node(x);
p->left = y;
y->parent = p;
if (x->right)
y->right = __copy(right(x), y);
p = y;
x = left(x);
}
}
__STL_UNWIND(__erase(top));
return top;
}
template <class Key, class Value, class KeyOfValue, class Compare, class Alloc>
void rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::__erase(link_type x) {
// erase without rebalancing
while (x != 0) {
__erase(right(x));
link_type y = left(x);
destroy_node(x);
x = y;
}
}
template <class Key, class Value, class KeyOfValue, class Compare, class Alloc>
void rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::erase(iterator first,
iterator last) {
if (first == begin() && last == end())
clear();
else
while (first != last) erase(first++);
}
template <class Key, class Value, class KeyOfValue, class Compare, class Alloc>
void rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::erase(const Key* first,
const Key* last) {
while (first != last) erase(*first++);
}
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>::find(const Key& k) {
link_type y = header; // Last node which is not less than k.
link_type x = root(); // Current node.
while (x != 0)
//如果当前键值大于搜索键值，往左走
if (!key_compare(key(x), k))
y = x, x = left(x);
//如果当前键值小于等于搜索键值，往右走
else
x = right(x);
iterator j = iterator(y);
return (j == end() || key_compare(k, key(j.node))) ? end() : j;
}
template <class Key, class Value, class KeyOfValue, class Compare, class Alloc>
typename rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::const_iterator
rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::find(const Key& k) const {
link_type y = header; /* Last node which is not less than k. */
link_type x = root(); /* Current node. */
while (x != 0) {
if (!key_compare(key(x), k))
y = x, x = left(x);
else
x = right(x);
}
const_iterator j = const_iterator(y);
return (j == end() || key_compare(k, key(j.node))) ? end() : j;
}
template <class Key, class Value, class KeyOfValue, class Compare, class Alloc>
typename rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::size_type
rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::count(const Key& k) const {
pair<const_iterator, const_iterator> p = equal_range(k);
size_type n = 0;
distance(p.first, p.second, n);
return n;
}
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>::lower_bound(const Key& k) {
link_type y = header; /* Last node which is not less than k. */
link_type x = root(); /* Current node. */
while (x != 0)
if (!key_compare(key(x), k))
y = x, x = left(x);
else
x = right(x);
return iterator(y);
}
template <class Key, class Value, class KeyOfValue, class Compare, class Alloc>
typename rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::const_iterator
rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::lower_bound(const Key& k) const {
link_type y = header; /* Last node which is not less than k. */
link_type x = root(); /* Current node. */
while (x != 0)
if (!key_compare(key(x), k))
y = x, x = left(x);
else
x = right(x);
return const_iterator(y);
}
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>::upper_bound(const Key& k) {
link_type y = header; /* Last node which is greater than k. */
link_type x = root(); /* Current node. */
while (x != 0)
if (key_compare(k, key(x)))
y = x, x = left(x);
else
x = right(x);
return iterator(y);
}
template <class Key, class Value, class KeyOfValue, class Compare, class Alloc>
typename rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::const_iterator
rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::upper_bound(const Key& k) const {
link_type y = header; /* Last node which is greater than k. */
link_type x = root(); /* Current node. */
while (x != 0)
if (key_compare(k, key(x)))
y = x, x = left(x);
else
x = right(x);
return const_iterator(y);
}
template <class Key, class Value, class KeyOfValue, class Compare, class Alloc>
inline pair<typename rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::iterator,
typename rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::iterator>
rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::equal_range(const Key& k) {
return pair<iterator, iterator>(lower_bound(k), upper_bound(k));
}
template <class Key, class Value, class KoV, class Compare, class Alloc>
inline pair<typename rb_tree<Key, Value, KoV, Compare, Alloc>::const_iterator,
typename rb_tree<Key, Value, KoV, Compare, Alloc>::const_iterator>
rb_tree<Key, Value, KoV, Compare, Alloc>::equal_range(const Key& k) const {
return pair<const_iterator,const_iterator>(lower_bound(k), upper_bound(k));
}
inline int __black_count(__rb_tree_node_base* node, __rb_tree_node_base* root)
{
if (node == 0)
return 0;
else {
int bc = node->color == __rb_tree_black ? 1 : 0;
if (node == root)
return bc;
else
return bc + __black_count(node->parent, root);
}
}
template <class Key, class Value, class KeyOfValue, class Compare, class Alloc>
bool
rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::__rb_verify() const
{
if (node_count == 0 || begin() == end())
return node_count == 0 && begin() == end() &&
header->left == header && header->right == header;
int len = __black_count(leftmost(), root());
for (const_iterator it = begin(); it != end(); ++it) {
link_type x = (link_type) it.node;
link_type L = left(x);
link_type R = right(x);
if (x->color == __rb_tree_red)
if ((L && L->color == __rb_tree_red) ||
(R && R->color == __rb_tree_red))
return false;
if (L && key_compare(key(x), key(L)))
return false;
if (R && key_compare(key(R), key(x)))
return false;
if (!L && !R && __black_count(x, root()) != len)
return false;
}
if (leftmost() != __rb_tree_node_base::minimum(root()))
return false;
if (rightmost() != __rb_tree_node_base::maximum(root()))
return false;
return true;
}
__STL_END_NAMESPACE
#endif /* __SGI_STL_INTERNAL_TREE_H */
// Local Variables:
// mode:C++
// End:STL源码剖析 容器 stl_tree.h,布布扣,bubuko.com
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原文地址：http://blog.csdn.net/zhengsenlie/article/details/38044945
