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https://github.com/TheAlgorithms/C
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avl tree added
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ketan-lambat
parent
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commit
49603af1b4
452
data_structures/binary_trees/avl.c
Normal file
452
data_structures/binary_trees/avl.c
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@ -0,0 +1,452 @@
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#include <stdio.h>
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#include <stdlib.h>
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struct AVLnode
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{
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int key;
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struct AVLnode *left;
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struct AVLnode *right;
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int height;
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};
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typedef struct AVLnode avlNode;
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int max(int a, int b)
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{
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return (a > b)? a : b;
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}
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avlNode *newNode(int key)
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{
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avlNode *node = (avlNode*)malloc(sizeof(avlNode));
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if(node == NULL)
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printf("!! Out of Space !!\n");
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else
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{
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node->key = key;
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node->left = NULL;
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node->right = NULL;
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node->height = 0;
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}
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return node;
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}
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int nodeHeight(avlNode *node)
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{
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if(node == NULL)
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return -1;
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else
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return(node->height);
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}
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int heightDiff(avlNode *node)
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{
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if(node == NULL)
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return 0;
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else
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return(nodeHeight(node->left) - nodeHeight(node->right));
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}
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/* Returns the node with min key in the left subtree*/
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avlNode *minNode(avlNode *node)
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{
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avlNode *temp = node;
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while(temp->left != NULL)
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temp = temp->left;
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return temp;
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}
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void printAVL(avlNode *node, int level)
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{
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int i;
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if(node!=NULL)
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{
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printAVL(node->right, level+1);
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//printf("_");
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printf("\n\n");
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for(i=0; i<level; i++)
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printf("\t");
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printf("%d", node->key);
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//printf("_");
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printAVL(node->left, level+1);
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}
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}
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avlNode *rightRotate(avlNode *z)
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{
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avlNode *y = z->left;
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avlNode *T3 = y->right;
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y->right = z;
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z->left = T3;
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z->height = (max(nodeHeight(z->left), nodeHeight(z->right)) + 1);
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y->height = (max(nodeHeight(y->left), nodeHeight(y->right)) + 1);
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return y;
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}
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avlNode *leftRotate(avlNode *z)
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{
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avlNode *y = z->right;
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avlNode *T3 = y->left;
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y->left = z;
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z->right = T3;
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z->height = (max(nodeHeight(z->left), nodeHeight(z->right)) + 1);
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y->height = (max(nodeHeight(y->left), nodeHeight(y->right)) + 1);
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return y;
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}
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avlNode *LeftRightRotate(avlNode *z)
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{
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z->left = leftRotate(z->left);
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return (rightRotate(z));
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}
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avlNode *RightLeftRotate(avlNode *z)
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{
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z->right = rightRotate(z->right);
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return (leftRotate(z));
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}
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avlNode *insert(avlNode *node, int key)
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{
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if(node == NULL)
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return (newNode(key));
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/*Binary Search Tree insertion*/
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if(key < node->key)
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node->left = insert(node->left, key); /*Recursive insertion in L subtree*/
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else if(key > node->key)
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node->right = insert(node->right, key); /*Recursive insertion in R subtree*/
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//else
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//return node;
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/* Node Height as per the AVL formula*/
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node->height = (max(nodeHeight(node->left),
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nodeHeight(node->right)) + 1);
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/*Checking for the balance condition*/
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int balance = heightDiff(node);
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/*Left Left */
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if(balance>1 && key < (node->left->key))
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return rightRotate(node);
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/*Right Right */
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if(balance<-1 && key > (node->right->key))
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return leftRotate(node);
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/*Left Right */
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if (balance>1 && key > (node->left->key))
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{
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node = LeftRightRotate(node);
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}
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/*Right Left */
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if (balance<-1 && key < (node->right->key))
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{
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node = RightLeftRotate(node);
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}
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return node;
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}
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avlNode *delete(avlNode *node, int queryNum)
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{
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if(node == NULL)
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return node;
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if(queryNum < node->key)
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node->left = delete(node->left, queryNum); /*Recursive deletion in L subtree*/
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else if(queryNum > node->key)
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node->right = delete(node->right, queryNum); /*Recursive deletion in R subtree*/
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else
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{
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/*Single or No Child*/
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if((node->left == NULL) || (node->right==NULL))
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{
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avlNode *temp = node->left ?
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node->left :
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node->right;
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/* No Child*/
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if(temp == NULL)
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{
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temp = node;
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node = NULL;
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}
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else /*Single Child : copy data to the parent*/
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*node = *temp;
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free(temp);
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}
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else
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{
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/*Two Child*/
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/*Get the smallest key in the R subtree*/
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avlNode *temp = minNode(node->right);
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node->key = temp->key; /*Copy that to the root*/
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node->right = delete(node->right, temp->key); /*Delete the smallest in the R subtree.*/
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}
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}
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/*single node in tree*/
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if(node == NULL)
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return node;
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/*Update height*/
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node->height = (max(nodeHeight(node->left),
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nodeHeight(node->right)) + 1);
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int balance = heightDiff(node);
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/*Left Left */
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if((balance>1) && (heightDiff(node->left) >= 0))
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return rightRotate(node);
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/*Left Right */
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if ((balance>1) && (heightDiff(node->left) < 0))
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{
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node = LeftRightRotate(node);
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}
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/*Right Right */
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if((balance<-1) && (heightDiff(node->right) >= 0))
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return leftRotate(node);
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/*Right Left */
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if ((balance<-1) && (heightDiff(node->right) < 0))
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{
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node = RightLeftRotate(node);
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}
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return node;
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}
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avlNode *findNode(avlNode *node, int queryNum)
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{
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if(node!=NULL)
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{
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if(queryNum < node->key)
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node = findNode(node->left, queryNum);
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else if(queryNum > node->key)
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node = findNode(node->right, queryNum);
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}
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return node;
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}
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void printPreOrder(avlNode *node)
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{
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if(node == NULL)
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return;
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// printf("\nprintPreOrder function\n");
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//printf(" %d-H:%d \t", (node->key), (node->height));
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printf(" %d ", (node->key));
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printPreOrder(node->left);
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printPreOrder(node->right);
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}
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void printInOrder(avlNode *node)
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{
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if(node == NULL)
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return;
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// printf("\nprintPreOrder function\n");
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printInOrder(node->left);
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//printf(" %d-H:%d \t", (node->key), (node->height));
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printf(" %d ", (node->key));
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printInOrder(node->right);
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}
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void printPostOrder(avlNode *node)
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{
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if(node == NULL)
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return;
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// printf("\nprintPreOrder function\n");
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printPostOrder(node->left);
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printPostOrder(node->right);
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//printf("%d ", (node->key));
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//printf(" %d-H:%d \t", (node->key), (node->height));
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printf(" %d ", (node->key));
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}
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int main()
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{
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int choice;
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int flag=1;
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int insertNum;
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int queryNum;
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avlNode *root = NULL;
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avlNode *tempNode;
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while(flag == 1)
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{
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printf("\n\nEnter the Step to Run : \n");
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printf("\t1: Insert a node into AVL tree\n");
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printf("\t2: Delete a node in AVL tree\n");
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printf("\t3: Search a node into AVL tree\n");
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printf("\t4: printPreOrder (Ro L R) Tree\n");
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printf("\t5: printInOrder (L Ro R) Tree\n");
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printf("\t6: printPostOrder (L R Ro) Tree\n");
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printf("\t7: printAVL Tree\n");
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printf("\t0: EXIT\n");
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scanf("%d", &choice);
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switch(choice)
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{
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case 0:
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{
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flag=0;
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printf("\n\t\tExiting, Thank You !!\n");
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break;
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return 0;
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}
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case 1:
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{
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printf("\n\tEnter the Number to insert: ");
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scanf("%d", &insertNum);
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tempNode = findNode(root, insertNum);
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if(tempNode!=NULL)
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printf("\n\t %d Already exists in the tree\n", insertNum);
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else
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{
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printf("\n\tPrinting AVL Tree\n");
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printAVL(root, 1);
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printf("\n");
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root = insert(root, insertNum);
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printf("\n\tPrinting AVL Tree\n");
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printAVL(root, 1);
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printf("\n");
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}
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break;
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}
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case 2:
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{
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printf("\n\tEnter the Number to Delete: ");
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scanf("%d", &queryNum);
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tempNode = findNode(root, queryNum);
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if(tempNode==NULL)
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printf("\n\t %d Does not exist in the tree\n", queryNum);
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else
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{
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printf("\n\tPrinting AVL Tree\n");
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printAVL(root, 1);
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printf("\n");
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root = delete(root, queryNum);
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printf("\n\tPrinting AVL Tree\n");
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printAVL(root, 1);
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printf("\n");
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}
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break;
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}
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case 3:
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{
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printf("\n\tEnter the Number to Search: ");
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scanf("%d", &queryNum);
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tempNode = findNode(root, queryNum);
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if(tempNode == NULL)
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printf("\n\t %d : Not Found\n", queryNum);
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else
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{
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printf("\n\t %d : Found at height %d \n", queryNum, tempNode->height);
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printf("\n\tPrinting AVL Tree\n");
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printAVL(root, 1);
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printf("\n");
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}
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break;
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}
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case 4:
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{
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printf("\nPrinting Tree preOrder\n");
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printPreOrder(root);
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break;
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}
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case 5:
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{
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printf("\nPrinting Tree inOrder\n");
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printInOrder(root);
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break;
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}
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case 6:
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{
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printf("\nPrinting Tree PostOrder\n");
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printPostOrder(root);
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break;
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}
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case 7:
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{
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printf("\nPrinting AVL Tree\n");
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printAVL(root, 1);
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break;
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}
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default:
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{
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flag=0;
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printf("\n\t\tExiting, Thank You !!\n");
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break;
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return 0;
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}
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}
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}
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return 0;
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}
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