AVL树（平衡二叉树）的建立、插入及调整（完整代码）

把算法笔记的代码补齐了
《算法笔记》P327
主要是LL、LR、RR、RL几种旋转调整、height的获得、平衡因子的获得
代码：

#include 
#include 
using namespace std;

struct node{
	int v,height;
	node *lchild;
	node *rchild;
}; 
//生成一个新节点 
node* newNode(int v){
	node* Node = new node;
	Node->v = v;
	Node->height = 1;
	Node->lchild = Node->rchild = NULL;
	return Node;
}
//获取以root为根节点的子树的当前height
int getheight(node* root){
	if(root == NULL) return 0;
	return root->height;
} 
//计算节点root的平衡因子
int getbalancefactor(node* root){
	return getheight(root->lchild) - getheight(root->rchild);
} 
//更新节点root的height
void updateheight(node* root){
	root->height = max(getheight(root->lchild),getheight(root->rchild)) + 1;
} 

//search查找AVL树中数据域为x的节点
void search(node* root,int x){
	if(root == NULL){
		printf("search failed\n");
		return;
	}
	if(x == root->v){
		printf("%d\n",root->v);
	}
	else if(x < root->v){
		search(root->lchild,x);
	}
	else{
		search(root->rchild,x);
	}
}
//中序遍历这棵AVL树
void inorder(node* root){
	if(root == NULL){
		return;
	}
	else{
		inorder(root->lchild);
		printf("%d ",root->v);
		inorder(root->rchild);
	}
}

//左旋
void L(node* &root){
	node* temp = root->rchild;
	root->rchild = temp->lchild;
	temp->lchild = root;
	updateheight(root);
	updateheight(temp);
	root = temp;
} 

//右旋
void R(node* &root){
	node* temp = root->lchild;
	root->lchild = temp->rchild;
	temp->rchild = root;
	updateheight(root);
	updateheight(temp);
	root = temp;
} 

//插入权值为v的节点
void insert(node* &root,int v){
	if(root == NULL){
		root = newNode(v);
		return;
	}
	if(v <root->v){
		insert(root->lchild,v);
		updateheight(root);
		if(getbalancefactor(root) == 2){
			if(getbalancefactor(root->lchild) == 1){
				R(root);
			}
			else if(getbalancefactor(root->lchild) == -1){
				L(root->lchild);
				R(root);
			}
		}
	}
	else{
		insert(root->rchild,v);
		updateheight(root);
		if(getbalancefactor(root) == -2){
			if(getbalancefactor(root->rchild) == -1){
				L(root);
			}
			else if(getbalancefactor(root->rchild) == 1){
				R(root->rchild);
				L(root);
			}
		}
	}
}

//AVL树的建立
node* Creat(int data[],int n){
	node* root = NULL;
	for(int i = 0;i <n;i++){
		insert(root,data[i]);
	}
	return root;
} 

int main(){
	int data[10] = {1,2,4,6,3,5,7,9,8,10};//把这几个数字调换顺序，得到的AVL树中序遍历相同 
	node* root = NULL;
	node* linshi = Creat(data,10);
	printf("中序遍历这棵AVL树输出为:\n");
	inorder(linshi);
	printf("\n查找AVL树中数据域为100的节点\n");
	search(linshi,100);	
}