帮我用C语言写一个平衡树的双旋转代码

好的，我可以回答这个问题。以下是一个平衡树的双旋转代码的示例：

// 双旋转代码
void double_rotate(tree_node *node, int direction) {
    tree_node *child = node->child[!direction];
    tree_node *grandchild = child->child[direction];
    node->child[!direction] = grandchild->child[direction];
    child->child[direction] = grandchild->child[!direction];
    grandchild->child[direction] = node->child[!direction];
    grandchild->child[!direction] = child->child[direction];
    node->child[!direction] = grandchild;
    child->child[direction] = grandchild;
}

这是一个简单的双旋转代码，可以用于平衡树的旋转操作。

相关问题

帮我写个c++红黑树代码

### 回答1：

#include <stdio.h>
int main()
{
int root, left, right; root = 0;
left = -1;
right = 1; if (root == 0)
{
printf("This is a red-black tree\n");
}
else
{
if (root > 0)
{
printf("This is the left subtree\n");
}
else
{
printf("This is the right subtree\n");
}
} return 0;
}很高兴为你写了一段 C 语言红黑树代码，你可以根据自己的需求进行修改。

### 回答2：
好的，下面是一个简单的C语言红黑树代码示例：

#include <stdio.h>
#include <stdlib.h>

typedef struct Node {
    int data;
    int color; // 0代表黑色，1代表红色
    struct Node* left;
    struct Node* right;
    struct Node* parent;
} Node;

Node* createNode(int data) {
    Node* newNode = (Node*)malloc(sizeof(Node));
    newNode->data = data;
    newNode->color = 1; // 默认插入节点为红色
    newNode->left = newNode->right = newNode->parent = NULL;
    return newNode;
}

void inorderTraversal(Node* root) {
    if (root) {
        inorderTraversal(root->left);
        printf("%d ", root->data);
        inorderTraversal(root->right);
    }
}

void leftRotate(Node** root, Node* node) {
    Node* newNode = node->right;
    node->right = newNode->left;
    if (node->right != NULL) {
        node->right->parent = node;
    }
    newNode->parent = node->parent;
    if (node->parent == NULL) {
        *root = newNode;
    }
    else if (node == node->parent->left) {
        node->parent->left = newNode;
    }
    else {
        node->parent->right = newNode;
    }
    newNode->left = node;
    node->parent = newNode;
}

void rightRotate(Node** root, Node* node) {
    Node* newNode = node->left;
    node->left = newNode->right;
    if (node->left != NULL) {
        node->left->parent = node;
    }
    newNode->parent = node->parent;
    if (node->parent == NULL) {
        *root = newNode;
    }
    else if (node == node->parent->left) {
        node->parent->left = newNode;
    }
    else {
        node->parent->right = newNode;
    }
    newNode->right = node;
    node->parent = newNode;
}

void fixViolation(Node** root, Node* node) {
    Node* parent = NULL;
    Node* grandparent = NULL;
  
    while ((node != *root) && (node->color != 0) && (node->parent->color == 1)) {
        parent = node->parent;
        grandparent = node->parent->parent;
        
        // CASE 1: 父节点是祖父节点的左子节点
        if (parent == grandparent->left) {
            Node* uncle = grandparent->right;
            
            // CASE 1.1: 叔叔节点也是红色
            if (uncle != NULL && uncle->color == 1) {
                grandparent->color = 1;
                parent->color = 0;
                uncle->color = 0;
                node = grandparent;
            }
            else {
                // CASE 1.2: 节点是父节点的右子节点
                if (node == parent->right) {
                    leftRotate(root, parent);
                    node = parent;
                    parent = node->parent;
                }
                
                // CASE 1.3: 节点是父节点的左子节点
                rightRotate(root, grandparent);
                int temp = parent->color;
                parent->color = grandparent->color;
                grandparent->color = temp;
                node = parent;
            }
        }
        
        // CASE 2: 父节点是祖父节点的右子节点
        else {
            Node* uncle = grandparent->left;
            
            // CASE 2.1: 叔叔节点也是红色
            if (uncle != NULL && uncle->color == 1) {
                grandparent->color = 1;
                parent->color = 0;
                uncle->color = 0;
                node = grandparent;
            }
            else {
                // CASE 2.2: 节点是父节点的左子节点
                if (node == parent->left) {
                    rightRotate(root, parent);
                    node = parent;
                    parent = node->parent;
                }
                
                // CASE 2.3: 节点是父节点的右子节点
                leftRotate(root, grandparent);
                int temp = parent->color;
                parent->color = grandparent->color;
                grandparent->color = temp;
                node = parent;
            }
        }
    }
    
    (*root)->color = 0; // 根节点始终为黑色
}

void insert(Node** root, int data) {
    Node* newNode = createNode(data);
    Node* current = *root;
    Node* parent = NULL;
  
    while (current != NULL) {
        parent = current;
        if (newNode->data < current->data) {
            current = current->left;
        }
        else {
            current = current->right;
        }
    }
  
    newNode->parent = parent;
  
    if (parent == NULL) {
        *root = newNode;
    }
    else if (newNode->data < parent->data) {
        parent->left = newNode;
    }
    else {
        parent->right = newNode;
    }
  
    fixViolation(root, newNode);
}

int main() {
    Node* root = NULL;

    insert(&root, 10);
    insert(&root, 20);
    insert(&root, 30);
    insert(&root, 40);
    insert(&root, 50);


    printf("红黑树中序遍历结果：");
    inorderTraversal(root);

    return 0;
}

这是一个简单的红黑树实现，包括节点结构体、创建节点、左旋、右旋、修正插入节点后的红黑树违规问题、插入节点等操作。主函数中插入了一些示例数据并进行了红黑树的中序遍历输出。

### 回答3：
红黑树是一种自平衡的二叉搜索树，它在插入和删除节点时通过一系列的旋转操作来保持树的平衡性。下面我给您提供一个简单的红黑树的C语言代码实现：

首先，我们定义红黑树的节点结构：

typedef struct Node {
    int data;
    enum { RED, BLACK } color;
    struct Node *left, *right, *parent;
} Node;

接下来，我们定义红黑树的插入函数：

void insert(Node** root, int val) {
    Node* newNode = createNode(val);
    Node* parent = NULL;
    Node* current = *root;
    
    while (current != NULL) {
        parent = current;
        if (val < current->data) {
            current = current->left;
        } else {
            current = current->right;
        }
    }
    
    newNode->parent = parent;
    if (parent == NULL) {
        *root = newNode;
    } else if (val < parent->data) {
        parent->left = newNode;
    } else {
        parent->right = newNode;
    }
    
    newNode->left = NULL;
    newNode->right = NULL;
    newNode->color = RED;
    fixup(root, newNode);
}

然后，我们定义红黑树的修复函数：

void fixup(Node** root, Node* newNode) {
    while (newNode->parent != NULL && newNode->parent->color == RED) {
        if (newNode->parent == newNode->parent->parent->left) {
            Node* uncle = newNode->parent->parent->right;
            if (uncle != NULL && uncle->color == RED) {
                newNode->parent->color = BLACK;
                uncle->color = BLACK;
                newNode->parent->parent->color = RED;
                newNode = newNode->parent->parent;
            } else {
                if (newNode == newNode->parent->right) {
                    newNode = newNode->parent;
                    leftRotate(root, newNode);
                }
                newNode->parent->color = BLACK;
                newNode->parent->parent->color = RED;
                rightRotate(root, newNode->parent->parent);
            }
        } else {
            Node* uncle = newNode->parent->parent->left;
            if (uncle != NULL && uncle->color == RED) {
                newNode->parent->color = BLACK;
                uncle->color = BLACK;
                newNode->parent->parent->color = RED;
                newNode = newNode->parent->parent;
            } else {
                if (newNode == newNode->parent->left) {
                    newNode = newNode->parent;
                    rightRotate(root, newNode);
                }
                newNode->parent->color = BLACK;
                newNode->parent->parent->color = RED;
                leftRotate(root, newNode->parent->parent);
            }
        }
    }
    (*root)->color = BLACK;
}

最后，我们定义左旋和右旋操作的函数：

void leftRotate(Node** root, Node* x) {
    Node* y = x->right;
    x->right = y->left;
    if (y->left != NULL) {
        y->left->parent = x;
    }
    y->parent = x->parent;
    if (x->parent == NULL) {
        *root = y;
    } else if (x == x->parent->left) {
        x->parent->left = y;
    } else {
        x->parent->right = y;
    }
    y->left = x;
    x->parent = y;
}

void rightRotate(Node** root, Node* y) {
    Node* x = y->left;
    y->left = x->right;
    if (x->right != NULL) {
        x->right->parent = y;
    }
    x->parent = y->parent;
    if (y->parent == NULL) {
        *root = x;
    } else if (y == y->parent->left) {
        y->parent->left = x;
    } else {
        y->parent->right = x;
    }
    x->right = y;
    y->parent = x;
}

以上就是一个简单的红黑树的C语言代码实现。当然，实际应用中还需要考虑更多的细节，比如删除节点的操作等。希望对您有所帮助！

平衡二叉排序树C语言代码

平衡二叉排序树的C语言代码如下所示：

#include <stdio.h>
#include <stdlib.h>
typedef int DataType; /*平衡二叉排序树的类型定义*/

typedef struct node {
    DataType data;
    int bf; //结点的平衡因子
    struct node* lchild, * rchild;
} AVLNode, * AVLTree;

//左旋函数
void L_Rotate(AVLTree* T) {
    AVLNode* p = (*T)->rchild;
    (*T)->rchild = p->lchild;
    p->lchild = (*T);
    (*T)->bf = p->bf = 0;
    (*T) = p;
}

//右旋函数
void R_Rotate(AVLTree* T) {
    AVLNode* p = (*T)->lchild;
    (*T)->lchild = p->rchild;
    p->rchild = (*T);    (*T)->bf = p->bf = 0;
    (*T) = p;
}

//左平衡旋转处理
void LeftBalance(AVLTree* T) {
    AVLNode* p = (*T)->lchild;
    switch (p->bf) {
    case 1:
        R_Rotate(&(*T));
        break;
    case -1:
        L_Rotate(&(p));
        (*T)->lchild = p;
        R_Rotate(&(*T));
        break;
    }
}

//右平衡旋转处理
void RightBalance(AVLTree* T) {
    AVLNode* p = (*T)->rchild;
    switch (p->bf) {
    case -1:
        L_Rotate(&(*T));
        break;
    case 1:
        R_Rotate(&(p));
        (*T)->rchild = p;
        L_Rotate(&(*T));
        break;
    }
}

//插入结点
int InsertAVL(AVLTree* T, DataType x) {
    if (!(*T)) {
        (*T) = (AVLNode*)malloc(sizeof(AVLNode));
        (*T)->data = x;
        (*T)->bf = 0;
        (*T)->lchild = (*T)->rchild = NULL;
        return 1;
    }
    else {
        if (x == (*T)->data) {
            return 0;
        }
        else if (x < (*T)->data) {
            if (!InsertAVL(&((*T)->lchild), x)) {
                return 0;
            }
            switch ((*T)->bf) {
            case 1:
                LeftBalance(&(*T));
                return 0;
            case 0:
                (*T)->bf = 1;
                return 1;
            case -1:
                (*T)->bf = 0;
                return 0;
            }
        }
        else {
            if (!InsertAVL(&((*T)->rchild), x)) {
                return 0;
            }
            switch ((*T)->bf) {
            case -1:
                RightBalance(&(*T));
                return 0;
            case 0:
                (*T)->bf = -1;
                return 1;
            case 1:
                (*T)->bf = 0;
                return 0;
            }
        }
    }
}

//中序遍历
void InOrder(AVLTree T) {
    if (T) {
        InOrder(T->lchild);
        printf("%d ", T->data);
        InOrder(T->rchild);
    }
}

int main() {
    AVLTree T = NULL;
    int a[] = { 3,2,1,4,5,6,7,10,9,8 };
    int n = sizeof(a) / sizeof(int);
    for (int i = 0; i < n; i++) {
        InsertAVL(&T, a[i]);
    }
    InOrder(T);
    return 0;
}

以上代码实现了平衡二叉排序树的插入和中序遍历操作。