diff options
Diffstat (limited to 'lib/algo/avl_tree.c')
-rw-r--r-- | lib/algo/avl_tree.c | 159 |
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 index 0000000..db4fa4b --- /dev/null +++ b/lib/algo/avl_tree.c @@ -0,0 +1,159 @@ +#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); + } +} |