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Diffstat (limited to 'include/shared/avl_tree.h')
-rw-r--r-- | include/shared/avl_tree.h | 270 |
1 files changed, 270 insertions, 0 deletions
diff --git a/include/shared/avl_tree.h b/include/shared/avl_tree.h new file mode 100644 index 0000000..2b174d3 --- /dev/null +++ b/include/shared/avl_tree.h @@ -0,0 +1,270 @@ +#ifndef _SHARED_AVL_TREE_H_ +#define _SHARED_AVL_TREE_H_ + +#define ALLOC kalloc +#define FREE kfree + +#include <assert.h> +#include <stdio.h> + +#include "kern/common.h" +#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) + +#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_ */ |