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avl.c
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261 lines (221 loc) · 5.48 KB
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#include <stddef.h>
#include <stdbool.h>
#include "queue.h"
struct node {
int data;
struct node* left;
struct node* right;
int unorder; // this is used for balancing
struct node* parent;
};
int getHeight2(struct node *root, int height) {
int leftHeight = height;
int rightHeight = height;
if (root->left != NULL) {
leftHeight = getHeight2(root->left, leftHeight + 1);
}
if (root->right != NULL) {
rightHeight = getHeight2(root->right, rightHeight + 1);
}
int foo = leftHeight > rightHeight ? leftHeight : rightHeight;
return foo;
}
int getHeight(struct node *root) {
int leftHeight = 0;
int rightHeight = 0;
if (root->left != NULL) {
leftHeight = getHeight2(root->left, leftHeight + 1);
}
if (root->right != NULL) {
rightHeight = getHeight2(root->right, rightHeight + 1);
}
return leftHeight > rightHeight ? leftHeight : rightHeight;
}
void levelOrderTraversal(struct queue * queue) {
struct node *node = NULL;
while (queue->begin != NULL && queue->end != NULL) {
node = (struct node *) dequeue(queue);
printf("%d ", node->data);
if (node->left != NULL) {
enqueue(queue, node->left);
}
if (node->right != NULL) {
enqueue(queue, node->right);
}
}
printf("LOT over");
}
void printLevelOrder(struct node *root) {
struct queue *queue = createQueue();
enqueue(queue, root->left);
enqueue(queue, root->right);
printf("LOT\n%d ", root->data);
levelOrderTraversal(queue);
//printf("\nLOT\n%d", ((struct node *)(queue->begin->data))->data);
}
void print(struct node *root) {
if (root != NULL) {
print(root->left);
printf("%d ", root->data);
print(root->right);
}
}
/*
void cloneNode(struct node *dstNode, struct node *srcNode) {
dstNode->
}*/
void leftRotation(struct node **root, struct node *node) {
struct node *rightChild = node->right;
struct node *parent = node->parent;
rightChild->left = node;
node->parent = rightChild;
node->right = NULL;
if (parent == NULL) {
rightChild->parent = NULL;
*root = rightChild;
} else {
rightChild->parent = parent;
if (node == parent->right) {
parent->right = rightChild;
} else if (node == parent->left) {
parent->left = rightChild;
} else {
printf("Problem in rotation");
}
}
}
void rightRotation(struct node **root, struct node *node) {
struct node *leftChild = node->left;
struct node *parent = node->parent;
leftChild->right = node;
node->parent = leftChild;
node->left = NULL;
if (parent == NULL) {
leftChild->parent = NULL;
*root = leftChild;
} else {
leftChild->parent = parent;
if (node == parent->right) {
parent->right = leftChild;
} else if (node == parent->left) {
parent->left = leftChild;
} else {
printf("Problem in rotation");
}
}
}
bool
unorderCheck(struct queue *queue, struct node **root) {
struct node *node = NULL;
bool isBalanced = true;
while (queue->begin != NULL && queue->end != NULL) {
node = (struct node *) dequeue(queue);
if (node->unorder < -1 || node->unorder > 1) {
*root = node;
isBalanced = false;
}
if (node->left != NULL) {
enqueue(queue, node->left);
}
if (node->right != NULL) {
enqueue(queue, node->right);
}
}
return isBalanced;
}
void setUnorder(struct node *root) {
if (root != NULL) {
int leftHeight = 0;
int rightHeight = 0;
if (root->left != NULL) {
leftHeight = getHeight(root->left) + 1;
}
if (root->right != NULL) {
rightHeight = getHeight(root->right) + 1;
}
root->unorder = rightHeight - leftHeight;
if (leftHeight > 0) {
setUnorder(root->left);
}
if (rightHeight > 0) {
setUnorder(root->right);
}
}
}
void
__balanceTree(struct node **root, struct node *unBalancedNode) {
if (unBalancedNode->unorder > 0) { // Right side is heavier so either '\' or '>'
if (unBalancedNode->right->right != NULL) {
leftRotation(root, unBalancedNode);
} else {
rightRotation(root, unBalancedNode->right);
leftRotation(root, unBalancedNode);
}
} else { // Left side is heavier, so either '/' or '<'
if (unBalancedNode->left->left != NULL) {
rightRotation(root, unBalancedNode);
} else {
leftRotation(root, unBalancedNode->left);
rightRotation(root, unBalancedNode);
}
}
}
void _balanceTree (struct node **root) {
bool isBalanced = false;
while (!isBalanced) {
struct queue *queue = createQueue();
enqueue(queue, *root);
struct node *unBalancedNode = NULL;
isBalanced = unorderCheck(queue, &unBalancedNode);
if (!isBalanced) {
printf("Balancing at node %d\n", unBalancedNode->data);
__balanceTree(root, unBalancedNode);
setUnorder(*root);
}
}
}
void _insert (struct node **root, int data, struct node *parent) {
if (*root == NULL) {
struct node *temp = malloc(sizeof(struct node));
temp->data = data;
temp->left = NULL;
temp->right = NULL;
temp->unorder = 0;
temp->parent = parent;
*root = temp;
} else {
if (data < (*root)->data) {
(*root)->unorder--;
_insert(&((*root)->left), data, *root);
} else {
(*root)->unorder++;
_insert(&((*root)->right), data, *root);
}
}
}
void insert (struct node **root, int data) {
printf("Inserting %d...\n", data);
_insert(root, data, NULL);
_balanceTree(root);
}
void main() {
printf("BST\n");
struct node *root = NULL;/*
insert(&root, 5);
insert(&root, 6);
insert(&root, 7);
insert(&root, 4);
insert(&root, 1);
insert(&root, 9);
insert(&root, 2);
insert(&root, 12);
insert(&root, 3);*/
insert(&root, 10);
insert(&root, 5);
insert(&root, 2);
insert(&root, 4);
insert(&root, 3);
//print(root);
printLevelOrder(root);
//printf("Height %d", getHeight(root));
}