AvlTree Insert(ElementType e, AvlTree t)
{
if(t == NULL){
t = malloc(sizeof(struct AvlNode));
t->e = e;
t->height = 0;
t->left = NULL;
t->right = NULL;
}
if(e < t->e){
t->left = Insert(e, t->left);
if(Height(t->left) - Height(t->right) == 2){
if(e < t->left->e){
t = SingleRotateWithLeft(t);
}else{
t = DoubleRotateWithLeft(t);
}
}
}else if(e > t->e){
t->right = Insert(e, t->right);
if(Height(t->right) - Height(t->left) == 2){
if(e > t->right->e){
t = SingleRotateWithRight(t);
}else{
t = DoubleRotateWithRight(t);
}
}
}
t->height = Max(Height(t->left), Height(t->right)) + 1;
return t;
}
AvlTree Insert(ElementType X,AvlTree T){
//T为空树
if(T == NULL){
T = malloc(sizeof(AvlTree));
if(T == NULL){
fatalError("out of space");
}
T -> Element = X;
T -> Left = NULL;
T -> Right = NULL;
}
//此处遇到问题 应该如何分情况讨论呢 我需求的是X插入位置的节点情况 但是此时只有根节点T
//所以插入应该递归地分左右插入 并且在插入后计算高度差值 差值2位中断情况
if(X < T-> Element){
//再次遇到问题 用什么变量存left 要不要return
//答案是直接递归修改left的值 最终改变的是叶节点指针 而非根节点
T -> Left = Insert(X , T -> Left);
if(Height(T->Left) - Height(T->Right) == 2){
//分情况
if(X < T->Left->Element){
T = SingleRotateWithLeft(T);
}else{
T = DoubleRotateWithLeft(T);
}
}
}else{
}
return T;
}
AvlTree Insert(int x, AvlTree root){
if(root==NULL){
root = (AvlNode *)malloc(sizeof(AvlNode));
if(root == NULL){
printf("Out of memory");
}else{
root->val = x;
root->right = root->left = NULL;
}
} else if(x < root->val){
root->left = Insert(x, root->left);
if(Height(root->left)-Height(root->right) == 2){
if(x<root->left->val)
root = SingleRotateWithLeft(root);
else
root = DoubleRotateWithLeft(root);
}
} else if(x > root->val){
root->right = Insert(x, root->right);
if(Height(root->right)-Height(root->left) == 2){
if(x>root->right->val)
root = SingleRotateWithRight(root);
else
root = DoubleRotateWithRight(root);
}
}
root->height = Max(Height(root->left), Height(root->right)) + 1;
return root;
}
AvlTree
Insert(ElementType X, AvlTree T)
{
if (T == NULL)
{
T = malloc(sizeof(struct AvlNode));
if (T == NULL)
{
Error("No additional memory!!");
exit(1);
}
else {
T->Element = X;
T->Height = 0;
T->Left = T->Right = NULL;
}
}
else
if (X < T->Element){
T->Left = Insert(X, T->Left);
if (Height(T->Left) - Height(T->Right) == 2)
{
if(X < T->Left->Element)
{
T = SingleRotateWithLeft(T);
}
else
{
T = DoubleRotateWithLeft(T);
}
}
}
else
if (X > T->Element)
{
T->Right = Insert(X, T->Right);
// printf("%d%s%d\n", Height(T->Right) - Height(T->Left), "Right", X);
if (Height(T->Right) - Height(T->Left) == 2)
{
// printf("%d|%d\n", X, T->Right->Element);
if (X > T->Right->Element)
{
T = SingleRotateWithRight(T);
}
else
{
T = DoubleRotateWithRight(T);
}
}
}
T->Height = Max(Height(T->Left), Height(T->Right)) + 1;
return T;
}
struct AvlTreeNode *CAvlTree::InsertNode(const int key
, struct AvlTreeNode *node)
{
if (node == NULL)
{
node = new struct AvlTreeNode;
if (node == NULL)
{
std::cerr << "out of memory" << std::endl;
}
else
{
node->key = key;
node->height = 0;
node->left = node->right = NULL;
}
}
else if (key < node->key)
{
node->left = this->InsertNode(key, node->left);
if (this->Height(node->left) - this->Height(node->right) >= 2)
{
if (key < node->left->key)
{
node = SingleRotateWithLeft(node);
}
else
{
node = DoubleRotateWithLeft(node);
}
}
}
else if (key > node->key)
{
node->right = this->InsertNode(key, node->right);
if (this->Height(node->right) - this->Height(node->left) >= 2)
{
if (key > node->right->key)
node = SingleRotateWithRight(node);
else
node = DoubleRotateWithRight(node);
}
}
/// \note else key is in the tree already, we will do nothing.
node->height = std::max(this->Height(node->left)
, this->Height(node->right)) + 1;
return node;
}
void insert_tree(int data,AVLTree &node)
{
if (node == NULL)
{
node = (AVL*)malloc(sizeof(AVL));
node->data = data;
node->height = 0;
node->lchild = node->rchild = NULL;
printf("test01\n");
return;
}
else if (data < node->data)
{
insert_tree(data, node->lchild);
}
else if (data > node->data)
{
insert_tree(data, node->rchild);
}
node->height = Max(Height(node->lchild), Height(node->rchild)) + 1;
if (Height(node->lchild) - Height(node->rchild) == 2)
{
if (node->lchild->data > data)
{
SingleRotateWithLeft(node);
}
else
{
DoubleRotateWithLeft(node);
}
}
else if (Height(node->rchild) - Height(node->lchild) == 2)
{
if (node->rchild->data < data)
{
SingleRotateWithRight(node);
}
else
{
DoubleRotateWithRight(node);
}
}
}
AvlTree Insert( ElementType X, AvlTree T )
{
if( T == NULL )
{
/* Create and return a one-node tree */
T = malloc( sizeof( struct AvlNode ) );
T->Element = malloc(sizeof(int)*RULE_SIZE);
if( T == NULL )
FatalError( "Out of space!!!" );
else
{
memcpy(T->Element,X,RULE_SIZE*sizeof(int));
T->Height = 0;
T->Left = T->Right = NULL;
}
}
else
if(compareLeaf(X, T->Element)==-1 )
{
T->Left = Insert( X, T->Left );
if( Height( T->Left ) - Height( T->Right ) == 2 )
if( compareLeaf(X,T->Left->Element)==-1 )
T = SingleRotateWithLeft( T );
else
T = DoubleRotateWithLeft( T );
}
else
if( compareLeaf(X,T->Element)==1 )
{
T->Right = Insert( X, T->Right );
if( Height( T->Right ) - Height( T->Left ) == 2 )
if( compareLeaf(X,T->Right->Element)==1 )
T = SingleRotateWithRight( T );
else
T = DoubleRotateWithRight( T );
}
/* Else X is in the tree already; we'll do nothing */
T->Height = Max( Height( T->Left ), Height( T->Right ) ) + 1;
return T;
}
//先把书上的avl插入函数手打一遍
AvlTree Insert(ElementType X, AvlTree T)
{
if(T == NULL)
{
T = (AvlTree*)malloc(sizeof(struct AvlTree));
if(T == NULL)
printf("Out of space!\n");
else
{
T->Height = 0;
T->Right = NULL;
T->Left = NULL;
T->Element = X;
}
}
else if(X < T->Element)
{
T->Left = Insert(X, T->Left);
if(Height(T->Left) - Height(T->Right) == 2)
if(X < T->Left->Element)
SingleRotateWithLeft(T->Left);
else
DoubleRotateWithLeft(T->Left);
}
else if(X > T->Element)
{
T->Right = Insert(X, T->Right);
if(Height(T->Right) - Height(T->Left) == 2)
if(X > T->Right->Element)
SingleRotateWithRight(T->Right);
else
DoubleRotateWithRight(T->Right);
}
T->Height = Max(Height(T->Left), Height(T->Right)) + 1;
return T;
}
AvlTree Insert(ElementType X, AvlTree T)
{
if(T == NULL)
{
T = malloc(sizeof(struct AvlNode));
if(T == NULL)
FatalError("Out of space!!!");
else
{
T->Element = X;
T->Height = 0;
T->Left = T->Right = NULL;
}
}
else if(X < T->Element)
{
T->Left = Insert(X, T->Left);
if(Height(T->Left) - Height(T->Right) == 2)
if(X < T->Left->Element)
T = SingleRotateWithLeft(T);
else
T = DoubleRotateWithLeft(T);
}
else if(X > T->Element)
{
T->Right = Insert(X, T->Right);
if(Height(T->Right) - Height(T->Left) == 2)
if(X > T->Right->Element)
T = SingleRotateWithRight(T);
else
T = DoubleRotateWithRight(T);
}
T->Height = Max(Height(T->Left), Height(T->Right)) + 1;
return T;
}
void delete_node(AVLTree& root, int data)
{
if (root == NULL) {
printf("NULL to delete\n");
return;
}
if (root->data == data) {
AVLTree node = root;
printf("begin to delete\n");
if (root->lchild == NULL && root->rchild == NULL)
{
root = NULL;
}
else if(root->rchild != NULL && root->lchild != NULL)
{
AVLTree loop = root->rchild;
while (loop->lchild != NULL) {
loop = loop->lchild;
}
root->data = loop->data;
delete_node(root->rchild, loop->data);
}
else
{
if (root->lchild == NULL) {
root = root->rchild;
}
else
{
root = root->lchild;
}
}
free(node);
}
else if (root->data < data)
{
delete_node(root->rchild, data);
}
else
{
delete_node(root->lchild, data);
}
if (root == NULL) {
return;
}
root->height = Max(Height(root->lchild), Height(root->rchild)) + 1;
if (Height(root->lchild) - Height(root->rchild) == 2)
{
if (Height(root->lchild->lchild) > Height(root->lchild->rchild))
{
SingleRotateWithLeft(root);
}
else
{
DoubleRotateWithLeft(root);
}
}
if (Height(root->rchild) - Height(root->lchild) == 2)
{
if (Height(root->rchild->rchild) > Height(root->rchild->lchild))
{
SingleRotateWithRight(root);
}
else
{
DoubleRotateWithRight(root);
}
}
}
