红黑树具体介绍三

        依据之前红黑树的原理和《算法导论》上面的伪代码，我用代码将添加和调整的代码实现了一下，如有不正确请大家指正。代码能够结合前两篇文章看。

        这次把剩下的删除结加上了，经过測试是能够使用的。

红黑树的具体介绍一

红黑树具体介绍二

/*
 * =====================================================================================
 *
 *       Filename:  rbtree->h
 *
 *    Description:  red black tree
 *
 *        Version:  1->0
 *        Created:  2014年05月05日 08时48分50秒
 *       Revision:  none
 *       Compiler:  gcc
 *
 *         Author:  我叫程序员XXX  
 *        Company:  
 *
 * =====================================================================================
 */
#ifndef __RBTREE__H
#define __RBTREE__H

#define bool int
#define successed 0
#define failed -1
#define BLACK 0
#define RED 1

typedef struct _rbtree_node{
        struct _rbtree_node *p; 
        struct _rbtree_node *left;
        struct _rbtree_node *right;
        int key;
        int color;
}*p_rbtree_node;


struct _rbtree_node node;

p_rbtree_node getNode(p_rbtree_node x); 
bool leftRotate(p_rbtree_node *root, p_rbtree_node x); 
bool rightRotate(p_rbtree_node *root, p_rbtree_node x);
bool rbInert(p_rbtree_node *root, p_rbtree_node z);
bool rbInsertFixup(p_rbtree_node *root, p_rbtree_node z);
bool rbBuilt(void);
bool rbTransplant(p_rbtree_node *root, p_rbtree_node u, p_rbtree_node v);
bool rbDeleteFixup(p_rbtree_node *root, p_rbtree_node x);
p_rbtree_node Delete(p_rbtree_node z);
p_rbtree_node rbDelete(p_rbtree_node *root, p_rbtree_node z);
p_rbtree_node treeMinimum(p_rbtree_node z);
p_rbtree_node Search(int key);
p_rbtree_node priSearch(p_rbtree_node *root, int key);
void rbDisplay(p_rbtree_node *root);
void Display(void);

#endif

rbtree.c

/*
 * =====================================================================================
 *
 *       Filename:  rbtree.c
 *
 *    Description:  
 *
 *        Version:  1.0
 *        Created:  2014年05月05日 09时01分00秒
 *       Revision:  none
 *       Compiler:  gcc
 *
 *         Author:  我叫程序员XXX 
 *        Company:  
 *
 * =====================================================================================
 */
#include "rbtree.h"
#include <malloc.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
p_rbtree_node nil = &node;
p_rbtree_node root;

p_rbtree_node getNode(p_rbtree_node x)
{
        x = NULL;
        x = (p_rbtree_node)malloc(sizeof(struct _rbtree_node));
        if (x == NULL)
        {
                return NULL;
        }
        memset(x, 0, sizeof(struct _rbtree_node));

        return x;
}

bool leftRotate(p_rbtree_node *root, p_rbtree_node x)
{
        p_rbtree_node y = NULL;
        y = x->right;   //set y
        x->right = y->left;
        if (y->left !=  nil)
                y->left->p = x;
        y->p = x->p;
        if (x->p == nil)
                *root = y;
        else if (x == x->p->left)
                x->p->left = y;
        else
                x->p->right = y;
        y->left = x;
        x->p = y;

        return successed;
}

bool rightRotate(p_rbtree_node *root, p_rbtree_node x)
{
        p_rbtree_node y = NULL;
        y = x->left;
        x->left = y->right;
        if (y->right != nil)
                y->right->p = x;
        y->p = x->p;
        if (x->p == nil)
                *root = y;
        else if (x == x->p->left)
                x->p->left = y;
        else
                x->p->right = y;
        y->right = x;
        x->p = y;

        return successed;
}

bool rbInsert(p_rbtree_node *root, p_rbtree_node z)
{
        p_rbtree_node y = nil;
        p_rbtree_node x = *root;
        while (x != nil)
        {
                y = x;
                if (z->key < x->key)
                        x = x->left;
                else
                        x = x->right;
        }
        z->p = y;
        if (y == nil)
        {
                *root = z;
        }
        else if (z->key < y->key)
                y->left = z;
        else
                y->right = z;
        z->left = nil;
        z->right = nil;
        z->color = RED;
        rbInsertFixup(root, z);

        return successed;
}

bool rbInsertFixup(p_rbtree_node *root, p_rbtree_node z)
{
        while (z->p->color == RED)
        {
                p_rbtree_node y = NULL;
                if (z->p == z->p->p->left)
                {
                        y = z->p->p->right;
                        if (y->color == RED)
                        {
                                z->p->color = BLACK;
                                y->color = BLACK;
                                z->p->p->color = RED;
                                z = z->p->p;
                        }
                        else if (z == z->p->right)
                        {
                                z = z->p;
                                leftRotate(root, z);
                        }
                        else
                        {
                                z->p->color = BLACK;
                                z->p->p->color = RED;
                                rightRotate(root, z->p->p);
                        }
                }
                else
                {
                        y = z->p->p->left;
                        if (y->color == RED)
                        {
                                z->p->color = BLACK;
                                y->color = BLACK;
                                z->p->p->color = RED;
                                z = z->p->p;
                        }
                        else if (z == z->p->left)
                        {
                                z = z->p;
                                rightRotate(root, z);
                        }
                        else
                        {
                                z->p->color = BLACK;
                                z->p->p->color = RED;
                                leftRotate(root, z->p->p);
                        }
                }
        }
        (*root)->color = BLACK;
        return successed;
}

bool rbTransplant(p_rbtree_node *root, p_rbtree_node u, p_rbtree_node v)
{
        if (u->p == nil)
        {
                *root = v;
        }
        else if (u == u->p->left)
        {
                u->p->left = v;
        }
        else
                u->p->right = v;
        v->p = u->p;
        return successed;
}

p_rbtree_node treeMinimum(p_rbtree_node z)
{
        while (z->left != nil)
                z = z->left;
        return z;
}

bool rbDeleteFixup(p_rbtree_node *root, p_rbtree_node x)
{
        p_rbtree_node w = nil;
        while (x != nil && x->color == BLACK)
        {
                if (x == x->p->left)
                {
                        w = x->p->right;
                        if (w->color == RED)
                        {
                                w->color = BLACK;
                                x->p->color = RED;
                                leftRotate(root, x->p);
                                w = x->p->right;
                        }
                        else if (w->right->color == BLACK && w->left->color == BLACK)
                        {
                                w->color = RED;
                                x = x->p;
                        }
                        else if (w->right->color == BLACK)
                        {
                                w->left->color = BLACK;
                                w->color = RED;
                                rightRotate(root, w);
                                w = x->p->right;
                        }
                        else
                        {
                                w->right->color = BLACK;
                                w->color = x->p->color;
                                w->p->color = BLACK;
                                leftRotate(root, x->p);
                                x = nil;
                        }
                }
                else
                {
                        w = x->p->left;
                        if (w->color == RED)
                        {
                                w->color = BLACK;
                                x->p->color = RED;
                                rightRotate(root, x->p);
                                w = x->p->left;
                        }
                        else if (w->left->color == BLACK && w->right->color == BLACK)
                        {
                                w->color = RED;
                                x = x->p;
                        }
                        else if (w->left->color == BLACK)
                        {
                                w->color = RED;
                                w->right->color = BLACK;
                                leftRotate(root, w);
                                w = x->p->left;
                        }
                        else
                        {
                                w->color = RED;
                                w->left->color = BLACK;
                                w->p->color = BLACK;
                                rightRotate(root, x->p);
                                x = nil;
                        }
                }
        }
        x->color = BLACK;
}

p_rbtree_node Delete(p_rbtree_node z)
{
        return rbDelete(&root, z);
}

p_rbtree_node rbDelete(p_rbtree_node *root, p_rbtree_node z)
{
        p_rbtree_node y = nil, x = nil;
        y = z;
        int y_original_color = y->color;
        if (z->left == nil)
        {
                x = z->right;
                rbTransplant(root, z, x);

        }
        else if (z->right == nil)
        {
                x = z->left;
                rbTransplant(root, z, x);
        }
        else
        {
                y = treeMinimum(z->right);
                y_original_color = y->color;
                x = y->right;
                if (y->p == z)
                {
                        x->p = y;
                }
                else
                {
                        rbTransplant(root, y, x);
                        y->right = z->right;
                        z->right->p = y;
                }
                rbTransplant(root, z, y);
                y->left = z->left;
                y->left->p = y;
                y->color = z->color;
        }
        if (y_original_color == BLACK)
                rbDeleteFixup(root, x);
        return z;
}

bool rbBuilt()
{
        node.p = NULL;
        node.left = NULL;
        node.right = NULL;
        node.key = -1;
        node.color = BLACK;
        root = nil;
        p_rbtree_node n1 = getNode(n1);
        n1->key = 1;
        rbInsert(&root, n1);

        p_rbtree_node n2 = getNode(n2);
        n2->key = 2;
        rbInsert(&root, n2);

        p_rbtree_node n4 = getNode(n4);
        n4->key = 4;
        rbInsert(&root, n4);

        p_rbtree_node n5 = getNode(n5);
        n5->key = 5;
        rbInsert(&root, n5);

        p_rbtree_node n7 = getNode(n7);
        n7->key = 7;
        rbInsert(&root, n7);

        p_rbtree_node n8 = getNode(n8);
        n8->key = 8;
        rbInsert(&root, n8);

        p_rbtree_node n11 = getNode(n11);
        n11->key = 11;
        rbInsert(&root, n11);

        p_rbtree_node n14 = getNode(n14);
        n14->key = 14;
        rbInsert(&root, n14);

        p_rbtree_node n15 = getNode(n15);
        n15->key = 15;
        rbInsert(&root, n15);

        return successed;
}

void rbDisplay(p_rbtree_node *root)
{
        if (*root == nil)
                return;
        rbDisplay(&((*root)->left));
        if ((*root)->color == RED)
                printf("key=%d, color=RED
", (*root)->key);
        else
                printf("key=%d, color=BLACK
", (*root)->key);
        rbDisplay(&((*root)->right));
}

void rbMidDisplay(p_rbtree_node *root)
{
        if (*root == nil)
                return;
        if ((*root)->color == RED)
                printf("key=%d, color=RED
", (*root)->key);
        else
                printf("key=%d, color=BLACK
", (*root)->key);
        rbMidDisplay(&((*root)->left));
        rbMidDisplay(&((*root)->right));
}

void Display(void)
{
        rbDisplay(&root);
        rbMidDisplay(&root);
}

test.c 測试文件

*
 * =====================================================================================
 *
 *       Filename:  test.c
 *
 *    Description:  
 *
 *        Version:  1.0
 *        Created:  2014年05月05日 11时34分19秒
 *       Revision:  none
 *       Compiler:  gcc
 *
 *         Author:  我叫程序员XXX  
 *        Company:  
 *
 * =====================================================================================
 */
#include "rbtree.h"
#include <stdio.h>

int main(void)
{
        rbBuilt();
        Display();
        int key = 5;
        p_rbtree_node node = Search(5);
        p_rbtree_node temp = NULL;
        temp = Delete(node);
        printf("*******temp->key = %d**********
", temp->key);
        Display();
    
        return 0;
}

    代码的执行截图例如以下：

    代码是通过先序和中序遍历得出的结果。

加入删除之后的执行结果例如以下：

    我的编译系统是Linux。编译环境是gcc 版本号 4.8.2 20131212 (Red Hat 4.8.2-7) (GCC) 。后面将删除代码加入上。假设代码中有不论什么不正确的地方。请大家指出。我好及时改动，谢谢大家。