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-rw-r--r--lib/algo/avl_tree.c159
1 files changed, 159 insertions, 0 deletions
diff --git a/lib/algo/avl_tree.c b/lib/algo/avl_tree.c
new file mode 100644
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+++ b/lib/algo/avl_tree.c
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+#include <lib/algo/avl_tree.h>
+#include <lib/monad.h>
+
+#include <stddef.h>
+#include <stdio.h>
+
+// Get the height of an AVL node
+uint8_t get_height(struct AVLNode* node)
+{
+ if (node == NULL) {
+ return 0;
+ }
+ return node->height;
+}
+
+// Get the Maximum Height between two
+uint8_t max_height(uint8_t a, uint8_t b)
+{
+ return (a > b) ? a : b;
+}
+
+// Get the balance factor of a node
+ssize_t get_balance_factor(struct AVLNode* node)
+{
+ if (node == NULL) {
+ return 0;
+ }
+ return get_height(node->left) - get_height(node->right);
+}
+
+// Rotate an AVL node right
+struct AVLNode* right_rotate(struct AVLNode* parent)
+{
+ struct AVLNode* child1 = parent->left;
+ struct AVLNode* child2 = child1->right;
+
+ child1->right = parent;
+ parent->left = child2;
+
+ parent->height = max_height(get_height(parent->left), get_height(parent->right)) + 1;
+ child1->height = max_height(get_height(child1->left), get_height(child1->right)) + 1;
+ return child1;
+}
+
+// Rotate an AVL node left
+struct AVLNode* left_rotate(struct AVLNode* parent)
+{
+ struct AVLNode* child1 = parent->right;
+ struct AVLNode* child2 = child1->left;
+
+ child1->left = parent;
+ parent->right = child2;
+
+ parent->height = max_height(get_height(parent->left), get_height(parent->right)) + 1;
+ child1->height = max_height(get_height(child1->left), get_height(child1->right)) + 1;
+ return child1;
+}
+
+// Create AVL node
+struct AVLNode* create_avl_node(void* data, bool_t (*compare)(void*, void*))
+{
+ struct AVLNode* node = (struct AVLNode*)malloc(sizeof(struct AVLNode));
+ if (node == NULL) {
+ return NULL;
+ }
+ node->data = data;
+ node->compare = compare;
+ node->left = NULL;
+ node->right = NULL;
+ node->height = 1; // Leaf initially
+ return node;
+}
+
+// Insert data into AVL tree
+struct Result avl_insert(struct AVLNode* node, void* data, bool_t (*compare)(void*, void*))
+{
+ struct Result result;
+ // 1. Standard BST insertion
+ if (node == NULL) {
+ return (struct Result) {create_avl_node(data, compare), TRUE};
+ }
+
+ struct MaskData *node_data = (struct MaskData*)node->data;
+ if (node->compare(data, node_data)) {
+ result = avl_insert(node->left, data, compare);
+ if (!result.success) {
+ fprintf(stderr, "Failed to insert!");
+ return result;
+ }
+ node->left = (struct AVLNode*)result.data;
+ } else if (node->compare(node->data, data)) {
+ result = avl_insert(node->right, data, compare);
+ if (!result.success) {
+ fprintf(stderr, "Failed to insert!");
+ return result;
+ }
+ node->right = (struct AVLNode*)result.data;
+ } else {
+ return (struct Result) {node, FALSE};
+ }
+
+ // 2. Update height of the ancestor node
+ node->height = 1 + max_height(get_height(node->left), get_height(node->right));
+
+ ssize_t balance = get_balance_factor(node);
+
+ // 4. If the node becomes unbalanced
+
+ // LeftLeft
+ if ((balance > 1) && node->compare(data, node->left->data)) {
+ return (struct Result) {right_rotate(node), TRUE};
+ }
+ // RightRight
+ if ((balance < -1) && node->compare(node->right->data, data)) {
+ return (struct Result) {left_rotate(node), TRUE};
+ }
+ // LeftRight
+ if ((balance > 1) && node->compare(node->left->data, data)) {
+ return (struct Result) {right_rotate(node), TRUE};
+ }
+ // RightLeft
+ if ((balance < -1) && node->compare(data,node->right->data)) {
+ return (struct Result) {left_rotate(node), TRUE};
+ }
+ return (struct Result) {node, TRUE};
+}
+
+// In-order traversal print pointer
+void print_in_order(struct AVLNode* root)
+{
+ if (root != NULL) {
+ print_in_order(root->left);
+ printf("%p ", root->data);
+ print_in_order(root->right);
+ }
+}
+
+// Free avl tree nodes starting at root
+void free_avl_tree(struct AVLNode* root)
+{
+ if (root != NULL) {
+ free_avl_tree(root->left);
+ free_avl_tree(root->right);
+ free(root);
+ }
+}
+
+// Free avl tree and their data starting at root
+void free_avl_tree_nodes(struct AVLNode* root)
+{
+ if (root != NULL) {
+ free_avl_tree_nodes(root->left);
+ free_avl_tree_nodes(root->right);
+ if (root->data != NULL) {
+ free(root->data);
+ }
+ free(root);
+ }
+}