PHP红黑源码,红黑树的实现源码(第二次修订版)
/*-----------------------------------------------------------
RB-Tree的插入和删除操作的实现算法
参考资料:
1) <>
2) http://lxr.linux.no/linux/lib/rbtree.c
作者:http://www.cppblog.com/converse/
您可以自由的传播,修改这份代码,转载处请注明原作者
红黑树的几个性质:
1) 每个结点只有红和黑两种颜色
2) 根结点是黑色的
3)空节点是黑色的(红黑树中,根节点的parent以及所有叶节点lchild、rchild都不指向NULL,而是指向一个定义好的空节点)。
4) 如果一个结点是红色的,那么它的左右两个子结点的颜色是黑色的
5) 对于每个结点而言,从这个结点到叶子结点的任何路径上的黑色结点
的数目相同
-------------------------------------------------------------*/
#include
#include
#include
typedef int key_t;
typedef int data_t;
typedef enum color_t
{
RED = 0,
BLACK = 1
}color_t;
typedef struct rb_node_t
{
struct rb_node_t *left, *right, *parent;
key_t key;
data_t data;
color_t color;
}rb_node_t;
/* forward declaration */
rb_node_t* rb_insert(key_t key, data_t data, rb_node_t* root);
rb_node_t* rb_search(key_t key, rb_node_t* root);
rb_node_t* rb_erase(key_t key, rb_node_t* root);
int main()
{
int i, count = 900000;
key_t key;
rb_node_t* root = NULL, *node = NULL;
srand(time(NULL));
for (i = 1; i < count; ++i)
{
key = rand() % count;
if ((root = rb_insert(key, i, root)))
{
printf("[i = %d] insert key %d success!\n", i, key);
}
else
{
printf("[i = %d] insert key %d error!\n", i, key);
exit(-1);
}
if ((node = rb_search(key, root)))
{
printf("[i = %d] search key %d success!\n", i, key);
}
else
{
printf("[i = %d] search key %d error!\n", i, key);
exit(-1);
}
if (!(i % 10))
{
if ((root = rb_erase(key, root)))
{
printf("[i = %d] erase key %d success\n", i, key);
}
else
{
printf("[i = %d] erase key %d error\n", i, key);
}
}
}
return 0;
}
static rb_node_t* rb_new_node(key_t key, data_t data)
{
rb_node_t *node = (rb_node_t*)malloc(sizeof(struct rb_node_t));
if (!node)
{
printf("malloc error!\n");
exit(-1);
}
node->key = key, node->data = data;
return node;
}
/*-----------------------------------------------------------
| node right
| / \ ==> / \
| a right node y
| / \ / \
| b y a b
-----------------------------------------------------------*/
static rb_node_t* rb_rotate_left(rb_node_t* node, rb_node_t* root)
{
rb_node_t* right = node->right;
if ((node->right = right->left))
{
right->left->parent = node;
}
right->left = node;
if ((right->parent = node->parent))
{
if (node == node->parent->right)
{
node->parent->right = right;
}
else
{
node->parent->left = right;
}
}
else
{
root = right;
}
node->parent = right;
return root;
}
/*-----------------------------------------------------------
| node left
| / \ / \
| left y ==> a node
| / \ / \
| a b b y
-----------------------------------------------------------*/
static rb_node_t* rb_rotate_right(rb_node_t* node, rb_node_t* root)
{
rb_node_t* left = node->left;
if ((node->left = left->right))
{
left->right->parent = node;
}
left->right = node;
if ((left->parent = node->parent))
{
if (node == node->parent->right)
{
node->parent->right = left;
}
else
{
node->parent->left = left;
}
}
else
{
root = left;
}
node->parent = left;
return root;
}
static rb_node_t* rb_insert_rebalance(rb_node_t *node, rb_node_t *root)
{
rb_node_t *parent, *gparent, *uncle, *tmp;
while ((parent = node->parent) && parent->color == RED)
{
gparent = parent->parent;
if (parent == gparent->left)
{
uncle = gparent->right;
if (uncle && uncle->color == RED)
{
uncle->color = BLACK;
parent->color = BLACK;
gparent->color = RED;
node = gparent;
}
else
{
if (parent->right == node)
{
root = rb_rotate_left(parent, root);
tmp = parent;
parent = node;
node = tmp;
}
parent->color = BLACK;
gparent->color = RED;
root = rb_rotate_right(gparent, root);
}
}
else
{
uncle = gparent->left;
if (uncle && uncle->color == RED)
{
uncle->color = BLACK;
parent->color = BLACK;
gparent->color = RED;
node = gparent;
}
else
{
if (parent->left == node)
{
root = rb_rotate_right(parent, root);
tmp = parent;
parent = node;
node = tmp;
}
parent->color = BLACK;
gparent->color = RED;
root = rb_rotate_left(gparent, root);
}
}
}
root->color = BLACK;
return root;
}
static rb_node_t* rb_erase_rebalance(rb_node_t *node, rb_node_t *parent, rb_node_t *root)
{
rb_node_t *other, *o_left, *o_right;
while ((!node || node->color == BLACK) && node != root)
{
if (parent->left == node)
{
other = parent->right;
if (other->color == RED)
{
other->color = BLACK;
parent->color = RED;
root = rb_rotate_left(parent, root);
other = parent->right;
}
if ((!other->left || other->left->color == BLACK) &&
(!other->right || other->right->color == BLACK))
{
other->color = RED;
node = parent;
parent = node->parent;
}
else
{
if (!other->right || other->right->color == BLACK)
{
if ((o_left = other->left))
{
o_left->color = BLACK;
}
other->color = RED;
root = rb_rotate_right(other, root);
other = parent->right;
}
other->color = parent->color;
parent->color = BLACK;
if (other->right)
{
other->right->color = BLACK;
}
root = rb_rotate_left(parent, root);
node = root;
break;
}
}
else
{
other = parent->left;
if (other->color == RED)
{
other->color = BLACK;
parent->color = RED;
root = rb_rotate_right(parent, root);
other = parent->left;
}
if ((!other->left || other->left->color == BLACK) &&
(!other->right || other->right->color == BLACK))
{
other->color = RED;
node = parent;
parent = node->parent;
}
else
{
if (!other->left || other->left->color == BLACK)
{
if ((o_right = other->right))
{
o_right->color = BLACK;
}
other->color = RED;
root = rb_rotate_left(other, root);
other = parent->left;
}
other->color = parent->color;
parent->color = BLACK;
if (other->left)
{
other->left->color = BLACK;
}
root = rb_rotate_right(parent, root);
node = root;
break;
}
}
}
if (node)
{
node->color = BLACK;
}
return root;
}
static rb_node_t* rb_search_auxiliary(key_t key, rb_node_t* root, rb_node_t** save)
{
rb_node_t *node = root, *parent = NULL;
int ret;
while (node)
{
parent = node;
ret = node->key - key;
if (0 < ret)
{
node = node->left;
}
else if (0 > ret)
{
node = node->right;
}
else
{
return node;
}
}
if (save)
{
*save = parent;
}
return NULL;
}
rb_node_t* rb_insert(key_t key, data_t data, rb_node_t* root)
{
rb_node_t *parent = NULL, *node;
parent = NULL;
if ((node = rb_search_auxiliary(key, root, &parent)))
{
return root;
}
node = rb_new_node(key, data);
node->parent = parent;
node->left = node->right = NULL;
node->color = RED;
if (parent)
{
if (parent->key > key)
{
parent->left = node;
}
else
{
parent->right = node;
}
}
else
{
root = node;
}
return rb_insert_rebalance(node, root);
}
rb_node_t* rb_search(key_t key, rb_node_t* root)
{
return rb_search_auxiliary(key, root, NULL);
}
rb_node_t* rb_erase(key_t key, rb_node_t *root)
{
rb_node_t *child, *parent, *old, *left, *node;
color_t color;
if (!(node = rb_search_auxiliary(key, root, NULL)))
{
printf("key %d is not exist!\n");
return root;
}
old = node;
if (node->left && node->right)
{
node = node->right;
while ((left = node->left) != NULL)
{
node = left;
}
child = node->right;
parent = node->parent;
color = node->color;
if (child)
{
child->parent = parent;
}
if (parent)
{
if (parent->left == node)
{
parent->left = child;
}
else
{
parent->right = child;
}
}
else
{
root = child;
}
if (node->parent == old)
{
parent = node;
}
node->parent = old->parent;
node->color = old->color;
node->right = old->right;
node->left = old->left;
if (old->parent)
{
if (old->parent->left == old)
{
old->parent->left = node;
}
else
{
old->parent->right = node;
}
}
else
{
root = node;
}
old->left->parent = node;
if (old->right)
{
old->right->parent = node;
}
}
else
{
if (!node->left)
{
child = node->right;
}
else if (!node->right)
{
child = node->left;
}
parent = node->parent;
color = node->color;
if (child)
{
child->parent = parent;
}
if (parent)
{
if (parent->left == node)
{
parent->left = child;
}
else
{
parent->right = child;
}
}
else
{
root = child;
}
}
free(old);
if (color == BLACK)
{
root = rb_erase_rebalance(child, parent, root);
}
return root;
}
PHP红黑源码,红黑树的实现源码(第二次修订版)相关推荐
- day063:红黑树、红黑规则
目录 一.红黑树 1.什么是红黑树? 2.红黑树与平衡二叉树的区别 二.红黑规则 1.红黑规则有五点 2.红黑树添加节点 3. 添加节点的总结 一.红黑树 1.什么是红黑树? 红黑树(又称平衡二叉B树 ...
- 红黑二叉树的左旋右旋和变色
小白解析红黑树的基本 什么是红黑树 变色 右旋 什么是右旋呢? 左旋 什么情况下会左旋 什么是红黑树 这就是一个简单的红黑二叉树 红黑二叉树有以下几条基本的规则: 1. 节点分为红色或者黑色. 2.根 ...
- java 二叉树特点_java学习笔记-二叉树、平衡二叉树(AVL)、红黑二叉树(十)
各种树 标签:数据结构范畴 二叉树的定义: 二叉树是树形结构的一个重要类型. 许多实际问题抽象出来的数据结构往往是二叉树的形式,即使是一般的树也能简单地转换为二叉树,而且二叉树的存储结构及其算法都较为 ...
- 详解c++---红黑二叉树的原理和实现
目录标题 什么是红黑二叉树树 红黑树的性质 红黑树的效率分析 红黑树的准备工作 红黑树的insert函数 节点的调整 情况一 情况二 情况三 转换的实现 打印函数 find函数 检查函数 什么是红黑二 ...
- 遍历HashMap源码——红黑树原理、HashMap红黑树实现与反树型化(三)
本章将是HashMap源码的最后一章,将介绍红黑树及其实现,HashMap的remove方法与反树型化.长文预警~~ 遍历HashMap源码--红黑树原理.HashMap红黑树实现与反树型化 什么是红 ...
- Android技术栈(五)HashMap(包括红黑树)与ArrayMap源码解析
1 总览 本文会对 Android 中常用HashMap(有红黑树)和ArrayMap进行源码解析,其中 HashMap 源码来自 Android Framework API 28 (JDK=1.8) ...
- 红黑二叉树(附写的源码)
简单讲一下B树B+树 这些树的作用,主要都体现于增删改查. 而为了性能的增强,从二叉树开始一步步进化,有了有序二叉树,然后到平衡二叉树,然后到了23树. 但23树依然不太优越. 假如有1w的数据,那么 ...
- 红黑树中nil结点_什么是红黑树?程序员面试必问!
点击上方java小组,选择"置顶公众号" 优质文章,第一时间送达 当在10亿数据中只需要进行10几次比较就能查找到目标时,不禁感叹编程之魅力!人类之伟大呀! -- 学红黑树有感. ...
- 红黑树的红黑标志有什么用
红黑树使用红黑二色进行"着色",目的是利用颜色值作为二叉树的平衡对称性的检查,只要插入的节点"着色"满足红黑二色的规定,最短路径与最长路径不会相差的太远,红黑树 ...
最新文章
- Android Intent hasExtra()方法的使用
- 【Java】排序算法 之 【快速排序】 总结
- linux alpine 提示'/bin/sh: rc-service: not found'解决方案
- 遍历查询ldap服务器用户
- OpenGL剪切平面和双面渲染
- LeetCode 312. 戳气球(Burst Balloons)
- 【Vue2.0】—Vue中的key有什么作用?(四)
- python进阶15变量作用域LEGB
- python(十一)接口开发、写日志、发邮件、python来发请求、手动添加环境变量...
- c4d序列号_(图文+视频)野分享:手把手教你免费获取Megascans所有资产并应用于C4D...
- git commit --amend 用法
- 截面数据 缺少行业风险
- android textview svg,Android中使用SVG与WebFont矢量图标
- HTML 提交表单,JQuery接收内容
- 计算机毕业设计ssm动漫交流与推荐分析系统633g7系统+程序+源码+lw+远程部署
- 湖北智禾网店指导:入门卖家一定要了解的淘宝宝贝发布规则及注意事项。
- 抖音一个老人和一个机器人歌曲_《抖音》多年以后有个可爱老头歌曲分享
- 一些简单的shell实例
- 数学不好,可以当程序员么?
- OA系统定制化,企业办公管理需求的新趋势
热门文章
- Flowable 数据库表结构 ACT_HI_IDENTITYLINK
- plsql 快捷键设置
- Spring boot + mybatis + oracle代码生成器
- RabbitMQ的5种队列_Work模式_入门试炼_第5篇
- 企业实战_12_MyCat水平扩展_分库分表
- IntelliJ IDEA 2019 安装lombok
- 系统架构设计师 - 项目管理 - 挣值管理
- SpringCloud整合nacos服务时无法发现服务
- JS中split对多个分隔符的处理
- oracle中prad函数_等保测评2.0:Oracle身份鉴别