From 1710871aa1958c2cac38e4b372964ef22032ed4a Mon Sep 17 00:00:00 2001 From: Josh Rahm Date: Sun, 6 Dec 2020 02:00:43 -0700 Subject: Added header files implementing a basic AVL tree and Map based off it. These headers take inspiration from the linked list and array list headers as a way to provide primitive templates in C. This time they implement an AVL tree and Map template (which uses the AVL tree). Included are relatively robust tests, though they could be improved. --- include/shared/avl_tree.h | 271 ++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 271 insertions(+) create mode 100644 include/shared/avl_tree.h (limited to 'include/shared/avl_tree.h') diff --git a/include/shared/avl_tree.h b/include/shared/avl_tree.h new file mode 100644 index 0000000..98151f2 --- /dev/null +++ b/include/shared/avl_tree.h @@ -0,0 +1,271 @@ +#ifndef _SHARED_AVL_TREE_H_ +#define _SHARED_AVL_TREE_H_ + +#define ALLOC kalloc +#define FREE kfree + +#include +#include + +#include "kern/mem.h" +#include "shared/stdmacro.h" + +#define get_height(n) ((n) == NULL ? 0 : (n)->height) +#define max(a, b) ((a) < (b) ? (b) : (a)) +#define reset_height(node) \ + (node)->height = \ + (max(get_height((node)->right), get_height((node)->left)) + 1) + +#define avl_tree_t(T) CONCAT(avl_tree__, T) +#define avl_tree_node_t(T) CONCAT(avl_tree_node__, T) + +#define avl_tree_new(T) CONCAT(avl_tree_new__, T) +#define avl_tree_free(T) CONCAT(avl_tree_free__, T) +#define avl_tree_size(T) CONCAT(avl_tree_size__, T) +#define avl_tree_insert(T) CONCAT(avl_tree_insert__, T) +#define avl_tree_find(T) CONCAT(avl_tree_find__, T) +#define avl_tree_erase(T) CONCAT(avl_tree_erase__, T) +#define avl_tree_height(T) CONCAT(avl_tree_height__, T) + +#define null_dtor(a) + +typedef unsigned int bool; + +#define AVL_TREE_DECL(T) \ + typedef struct CONCAT(AVL_TREE_NODE_, T) { \ + T value; \ + size_t height; \ + struct CONCAT(AVL_TREE_NODE_, T) * left; \ + struct CONCAT(AVL_TREE_NODE_, T) * right; \ + } avl_tree_node_t(T); \ + \ + typedef struct { \ + avl_tree_node_t(T) * root; \ + } avl_tree_t(T); \ + \ + size_t avl_tree_height(T)(avl_tree_t(T) * tree); \ + avl_tree_t(T) * avl_tree_new(T)(); \ + void avl_tree_free(T)(avl_tree_t(T) * tree); \ + size_t avl_tree_size(T)(const avl_tree_t(T) * avl_tree); \ + T* avl_tree_insert(T)(avl_tree_t(T) * avl_tree, T value); \ + T* avl_tree_find(T)(const avl_tree_t(T)*, T val); \ + bool avl_tree_erase(T)(avl_tree_t(T) * tree, T val, T * out); + +#define AVL_TREE_IMPL(T, CMP, DTOR) \ + avl_tree_t(T) * avl_tree_new(T)() \ + { \ + avl_tree_t(T)* ret = ALLOC(sizeof(avl_tree_t(T))); \ + ret->root = NULL; \ + return ret; \ + } \ + static void CONCAT(avl_loose_free__, T)(avl_tree_node_t(T) * node) \ + { \ + if (!node) return; \ + CONCAT(avl_loose_free__, T)(node->right); \ + CONCAT(avl_loose_free__, T)(node->left); \ + DTOR(node->value); \ + FREE(node); \ + } \ + void avl_tree_free(T)(avl_tree_t(T) * tree) \ + { \ + CONCAT(avl_loose_free__, T)(tree->root); \ + FREE(tree); \ + } \ + static inline size_t CONCAT( \ + loose_size__, T)(const avl_tree_node_t(T) * node) \ + { \ + if (!node) return 0; \ + return 1 + CONCAT(loose_size__, T)(node->left) + \ + CONCAT(loose_size__, T)(node->right); \ + } \ + size_t avl_tree_size(T)(const avl_tree_t(T) * tree) \ + { \ + return CONCAT(loose_size__, T)(tree->root); \ + } \ + static int CONCAT(balance_factor, T)(avl_tree_node_t(T) * node) \ + { \ + return get_height(node->left) - get_height(node->right); \ + } \ + static avl_tree_node_t(T) * CONCAT(ll_rotate, T)(avl_tree_node_t(T) * node) \ + { \ + avl_tree_node_t(T)* child = node->left; \ + node->left = child->right; \ + reset_height(node); \ + child->right = node; \ + reset_height(child); \ + return child; \ + } \ + static avl_tree_node_t(T) * CONCAT(rr_rotate, T)(avl_tree_node_t(T) * node) \ + { \ + avl_tree_node_t(T)* child = node->right; \ + node->right = child->left; \ + reset_height(node); \ + child->left = node; \ + reset_height(child); \ + return child; \ + } \ + static avl_tree_node_t(T) * CONCAT(rl_rotate, T)(avl_tree_node_t(T) * node) \ + { \ + avl_tree_node_t(T)* child = node->right; \ + node->right = CONCAT(ll_rotate, T)(child); \ + reset_height(node); \ + return CONCAT(rr_rotate, T)(node); \ + } \ + static avl_tree_node_t(T) * CONCAT(lr_rotate, T)(avl_tree_node_t(T) * node) \ + { \ + avl_tree_node_t(T)* child = node->left; \ + node->left = CONCAT(rr_rotate, T)(child); \ + reset_height(node); \ + return CONCAT(ll_rotate, T)(node); \ + } \ + static avl_tree_node_t(T) * \ + CONCAT(avl_tree_balance_, T)(avl_tree_node_t(T) * node) \ + { \ + int d = CONCAT(balance_factor, T)(node); \ + if (d > 1) { \ + if (CONCAT(balance_factor, T)(node->left) > 0) { \ + return CONCAT(ll_rotate, T)(node); \ + } else { \ + return CONCAT(lr_rotate, T)(node); \ + } \ + } else if (d < -1) { \ + if (CONCAT(balance_factor, T)(node->right) > 0) { \ + return CONCAT(rl_rotate, T)(node); \ + } else { \ + return CONCAT(rr_rotate, T)(node); \ + } \ + } \ + \ + return node; \ + } \ + static avl_tree_node_t(T) * \ + CONCAT(avl_tree_loose_insert_, T)( \ + avl_tree_node_t(T) * node, T value, T * *ptr_out) \ + { \ + if (!node) { \ + node = ALLOC(sizeof(avl_tree_node_t(T))); \ + assert(node); \ + node->left = NULL; \ + node->right = NULL; \ + node->value = value; \ + node->height = 1; \ + *ptr_out = &node->value; \ + } else { \ + typeof(CMP(node->value, value)) cmp = CMP(node->value, value); \ + if (cmp < 0) { \ + node->left = \ + CONCAT(avl_tree_loose_insert_, T)(node->left, value, ptr_out); \ + reset_height(node); \ + node = CONCAT(avl_tree_balance_, T)(node); \ + } else if (cmp > 0) { \ + node->right = \ + CONCAT(avl_tree_loose_insert_, T)(node->right, value, ptr_out); \ + reset_height(node); \ + node = CONCAT(avl_tree_balance_, T)(node); \ + } \ + } \ + return node; \ + } \ + T* avl_tree_insert(T)(avl_tree_t(T) * tree, T value) \ + { \ + T* ret; \ + tree->root = CONCAT(avl_tree_loose_insert_, T)(tree->root, value, &ret); \ + return ret; \ + } \ + size_t avl_tree_height(T)(avl_tree_t(T) * tree) \ + { \ + if (!tree) return 0; \ + return get_height(tree->root); \ + } \ + static T* CONCAT(loose_avl_tree_find, T)(avl_tree_node_t(T) * node, T value) \ + { \ + if (!node) return NULL; \ + \ + typeof(CMP(node->value, value)) cmp = CMP(node->value, value); \ + if (cmp > 0) { \ + return CONCAT(loose_avl_tree_find, T)(node->right, value); \ + } else if (cmp < 0) { \ + return CONCAT(loose_avl_tree_find, T)(node->left, value); \ + } \ + return &node->value; \ + } \ + T* avl_tree_find(T)(const avl_tree_t(T) * tree, T val) \ + { \ + if (!tree) return NULL; \ + return CONCAT(loose_avl_tree_find, T)(tree->root, val); \ + } \ + static avl_tree_node_t(T) * \ + CONCAT(pluck_left, T)(avl_tree_node_t(T) * node, T * into) \ + { \ + if (node->left) { \ + node->left = CONCAT(pluck_left, T)(node->left, into); \ + reset_height(node); \ + return CONCAT(avl_tree_balance_, T)(node); \ + } else { \ + *into = node->value; \ + FREE(node); \ + return node->right; \ + } \ + } \ + static avl_tree_node_t(T) * \ + CONCAT(pluck_right, T)(avl_tree_node_t(T) * node, T * into) \ + { \ + if (node->right) { \ + node->right = CONCAT(pluck_right, T)(node->right, into); \ + reset_height(node); \ + return CONCAT(avl_tree_balance_, T)(node); \ + } else { \ + *into = node->value; \ + FREE(node); \ + return node->left; \ + } \ + } \ + avl_tree_node_t(T) * \ + CONCAT(loose_avl_tree_erase, T)( \ + avl_tree_node_t(T) * node, T value, bool* out, T* erased) \ + { \ + if (!node) { \ + *out = 0; \ + return NULL; \ + } \ + typeof(CMP(node->value, value)) cmp = CMP(node->value, value); \ + if (cmp == 0) { \ + if (erased) *erased = node->value; \ + *out = 1; \ + if (!node->right && !node->left) { \ + FREE(node); \ + return NULL; \ + } \ + if (get_height(node->right) > get_height(node->left)) { \ + node->right = CONCAT(pluck_left, T)(node->right, &node->value); \ + reset_height(node); \ + node = CONCAT(avl_tree_balance_, T)(node); \ + return node; \ + } \ + node->left = CONCAT(pluck_right, T)(node->left, &node->value); \ + reset_height(node); \ + node = CONCAT(avl_tree_balance_, T)(node); \ + return node; \ + } else if (cmp < 0) { \ + node->left = \ + CONCAT(loose_avl_tree_erase, T)(node->left, value, out, erased); \ + reset_height(node); \ + node = CONCAT(avl_tree_balance_, T)(node); \ + } else { \ + node->right = \ + CONCAT(loose_avl_tree_erase, T)(node->right, value, out, erased); \ + reset_height(node); \ + node = CONCAT(avl_tree_balance_, T)(node); \ + } \ + return node; \ + } \ + bool avl_tree_erase(T)(avl_tree_t(T) * tree, T val, T * erased) \ + { \ + if (!tree) return 0; \ + bool out; \ + tree->root = \ + CONCAT(loose_avl_tree_erase, T)(tree->root, val, &out, erased); \ + return out; \ + } + +#endif /* _SHARED_AVL_TREE_H_ */ -- cgit