diff options
| author | Mistivia <i@mistivia.com> | 2024-03-24 09:36:51 +0800 |
|---|---|---|
| committer | Mistivia <i@mistivia.com> | 2024-03-24 09:36:51 +0800 |
| commit | 1208bdd0fccc5f1e380053d8e0a7f4df6fe8f805 (patch) | |
| tree | a4fddb7211a2782b3934cf02d80ef6d1734ec1c2 /src/rb_tree.c | |
git init
Diffstat (limited to 'src/rb_tree.c')
| -rw-r--r-- | src/rb_tree.c | 386 |
1 files changed, 386 insertions, 0 deletions
diff --git a/src/rb_tree.c b/src/rb_tree.c new file mode 100644 index 0000000..f2bcd0c --- /dev/null +++ b/src/rb_tree.c @@ -0,0 +1,386 @@ +/* + * Copyright 2002 Niels Provos <provos@citi.umich.edu> + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * + * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR + * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES + * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. + * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT, + * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT + * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, + * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY + * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF + * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + */ + +#include "rb_tree.h" + +#define RED 1 +#define BLACK 0 + +static rb_node_t *rb_tree_minmax(rb_tree_t *, int); +void *rb_tree_min(rb_tree_t *head) { return rb_tree_minmax(head, -1); } +void *rb_tree_max(rb_tree_t *head) { return rb_tree_minmax(head, 1); } + +void *rb_tree_left(void *node) { + rb_node_t *elm = node; + if (node == NULL) return NULL; + return elm->entry.rbe_left; +} +void *rb_tree_right(void *node) { + rb_node_t *elm = node; + if (node == NULL) return NULL; + return elm->entry.rbe_right; +} +void *rb_tree_parent(void *node) { + rb_node_t *elm = node; + if (node == NULL) return NULL; + return elm->entry.rbe_parent; +} + +static void augment(rb_tree_t *head, rb_node_t *elm) { + if (head->augment != NULL) head->augment(elm); +} + +static void rb_tree_insert_color(rb_tree_t *head, rb_node_t *elm); +static void rb_tree_remove_color(rb_tree_t *head, rb_node_t *parent, + rb_node_t *elm); + +static void rotate_left(rb_tree_t *head, rb_node_t *elm) { + rb_node_t *tmp = elm->entry.rbe_right; + if ((elm->entry.rbe_right = tmp->entry.rbe_left)) { + tmp->entry.rbe_left->entry.rbe_parent = elm; + } + augment(head, elm); + if ((tmp->entry.rbe_parent = elm->entry.rbe_parent)) { + if (elm == elm->entry.rbe_parent->entry.rbe_left) + elm->entry.rbe_parent->entry.rbe_left = tmp; + else + elm->entry.rbe_parent->entry.rbe_right = tmp; + } else { + head->rbh_root = tmp; + } + tmp->entry.rbe_left = elm; + elm->entry.rbe_parent = tmp; + augment(head, tmp); + if (tmp->entry.rbe_parent) { + augment(head, tmp->entry.rbe_parent); + } +} + +static void rotate_right(rb_tree_t *head, rb_node_t *elm) { + rb_node_t *tmp = elm->entry.rbe_left; + if ((elm->entry.rbe_left = tmp->entry.rbe_right)) { + tmp->entry.rbe_right->entry.rbe_parent = elm; + } + augment(head, elm); + if ((tmp->entry.rbe_parent = elm->entry.rbe_parent)) { + if (elm == elm->entry.rbe_parent->entry.rbe_left) + elm->entry.rbe_parent->entry.rbe_left = tmp; + else + elm->entry.rbe_parent->entry.rbe_right = tmp; + } else { + head->rbh_root = tmp; + } + tmp->entry.rbe_right = elm; + elm->entry.rbe_parent = tmp; + augment(head, tmp); + if (tmp->entry.rbe_parent) { + augment(head, tmp->entry.rbe_parent); + } +} + +static void rb_tree_insert_color(rb_tree_t *head, rb_node_t *elm) { + rb_node_t *parent, *gparent, *tmp; + while ((parent = elm->entry.rbe_parent) && parent->entry.rbe_color == 1) { + gparent = parent->entry.rbe_parent; + if (parent == gparent->entry.rbe_left) { + tmp = gparent->entry.rbe_right; + if (tmp && tmp->entry.rbe_color == 1) { + tmp->entry.rbe_color = BLACK; + parent->entry.rbe_color = BLACK; + gparent->entry.rbe_color = RED; + elm = gparent; + continue; + } + if (parent->entry.rbe_right == elm) { + rotate_left(head, parent); + tmp = parent; + parent = elm; + elm = tmp; + } + parent->entry.rbe_color = BLACK; + gparent->entry.rbe_color = RED; + rotate_right(head, gparent); + } else { + tmp = gparent->entry.rbe_left; + if (tmp && tmp->entry.rbe_color == 1) { + tmp->entry.rbe_color = BLACK; + parent->entry.rbe_color = BLACK; + gparent->entry.rbe_color = RED; + ; + elm = gparent; + continue; + } + if (parent->entry.rbe_left == elm) { + rotate_right(head, parent); + tmp = parent; + parent = elm; + elm = tmp; + } + parent->entry.rbe_color = BLACK; + gparent->entry.rbe_color = RED; + rotate_left(head, gparent); + } + } + head->rbh_root->entry.rbe_color = BLACK; +} + +static void rb_tree_remove_color(rb_tree_t *head, rb_node_t *parent, + rb_node_t *elm) { + rb_node_t *tmp; + while ((elm == NULL || elm->entry.rbe_color == 0) && + elm != head->rbh_root) { + if (parent->entry.rbe_left == elm) { + tmp = parent->entry.rbe_right; + if (tmp->entry.rbe_color == 1) { + tmp->entry.rbe_color = BLACK; + parent->entry.rbe_color = RED; + rotate_left(head, parent); + tmp = parent->entry.rbe_right; + } + if ((tmp->entry.rbe_left == NULL || + tmp->entry.rbe_left->entry.rbe_color == 0) && + (tmp->entry.rbe_right == NULL || + tmp->entry.rbe_right->entry.rbe_color == 0)) { + tmp->entry.rbe_color = RED; + elm = parent; + parent = elm->entry.rbe_parent; + } else { + if (tmp->entry.rbe_right == NULL || + tmp->entry.rbe_right->entry.rbe_color == 0) { + rb_node_t *oleft; + if ((oleft = tmp->entry.rbe_left)) + oleft->entry.rbe_color = BLACK; + tmp->entry.rbe_color = RED; + rotate_right(head, tmp); + tmp = parent->entry.rbe_right; + } + tmp->entry.rbe_color = parent->entry.rbe_color; + parent->entry.rbe_color = BLACK; + if (tmp->entry.rbe_right) + tmp->entry.rbe_right->entry.rbe_color = BLACK; + rotate_left(head, parent); + elm = head->rbh_root; + break; + } + } else { + tmp = parent->entry.rbe_left; + if (tmp->entry.rbe_color == 1) { + tmp->entry.rbe_color = BLACK; + parent->entry.rbe_color = RED; + rotate_right(head, parent); + tmp = parent->entry.rbe_left; + } + if ((tmp->entry.rbe_left == NULL || + tmp->entry.rbe_left->entry.rbe_color == 0) && + (tmp->entry.rbe_right == NULL || + tmp->entry.rbe_right->entry.rbe_color == 0)) { + tmp->entry.rbe_color = RED; + elm = parent; + parent = elm->entry.rbe_parent; + } else { + if (tmp->entry.rbe_left == NULL || + tmp->entry.rbe_left->entry.rbe_color == 0) { + rb_node_t *oright; + if ((oright = tmp->entry.rbe_right)) + oright->entry.rbe_color = BLACK; + tmp->entry.rbe_color = RED; + rotate_left(head, tmp); + tmp = parent->entry.rbe_left; + } + tmp->entry.rbe_color = parent->entry.rbe_color; + parent->entry.rbe_color = BLACK; + if (tmp->entry.rbe_left) + tmp->entry.rbe_left->entry.rbe_color = BLACK; + rotate_right(head, parent); + elm = head->rbh_root; + break; + } + } + } + if (elm) elm->entry.rbe_color = BLACK; +} + +void rb_tree_remove(rb_tree_t *head, void *elmv) { + rb_node_t *elm = elmv; + rb_node_t *child, *parent; + int color; + if (elm->entry.rbe_left == NULL) + child = elm->entry.rbe_right; + else if (elm->entry.rbe_right == NULL) + child = elm->entry.rbe_left; + else { + rb_node_t *old = elm, *left; + elm = elm->entry.rbe_right; + while ((left = elm->entry.rbe_left)) + elm = left; + child = elm->entry.rbe_right; + parent = elm->entry.rbe_parent; + color = elm->entry.rbe_color; + if (child) child->entry.rbe_parent = parent; + if (parent) { + if (parent->entry.rbe_left == elm) + parent->entry.rbe_left = child; + else + parent->entry.rbe_right = child; + augment(head, parent); + } else + head->rbh_root = child; + if (elm->entry.rbe_parent == old) parent = elm; + elm->entry = old->entry; + if (old->entry.rbe_parent) { + if ((old->entry.rbe_parent)->entry.rbe_left == old) + (old->entry.rbe_parent)->entry.rbe_left = elm; + else + (old->entry.rbe_parent)->entry.rbe_right = elm; + augment(head, old->entry.rbe_parent); + } else + head->rbh_root = elm; + old->entry.rbe_left->entry.rbe_parent = elm; + if (old->entry.rbe_right) old->entry.rbe_right->entry.rbe_parent = elm; + if (parent) { + left = parent; + if (head->augment != NULL) { + do { + augment(head, left); + } while ((left = left->entry.rbe_parent)); + } + } + goto color; + } + parent = elm->entry.rbe_parent; + color = elm->entry.rbe_color; + if (child) child->entry.rbe_parent = parent; + if (parent) { + if (parent->entry.rbe_left == elm) + parent->entry.rbe_left = child; + else + parent->entry.rbe_right = child; + rb_node_t *goback = parent; + if (head->augment != NULL) { + do { + augment(head, goback); + } while ((goback = goback->entry.rbe_parent)); + } + } else + head->rbh_root = child; +color: + if (color == 0) rb_tree_remove_color(head, parent, child); +} + +void *rb_tree_insert(rb_tree_t *head, void *elmv) { + rb_node_t *elm = elmv; + rb_node_t *tmp; + rb_node_t *parent = NULL; + int comp = 0; + tmp = head->rbh_root; + while (tmp) { + parent = tmp; + comp = head->cmp((void *)elm->content, (void *)parent->content); + if (comp < 0) + tmp = tmp->entry.rbe_left; + else if (comp > 0) + tmp = tmp->entry.rbe_right; + else + return tmp; + } + elm->entry.rbe_parent = parent; + elm->entry.rbe_left = elm->entry.rbe_right = NULL; + elm->entry.rbe_color = RED; + if (parent != NULL) { + if (comp < 0) + parent->entry.rbe_left = elm; + else + parent->entry.rbe_right = elm; + rb_node_t *goback = parent; + if (head->augment != NULL) { + do { + augment(head, goback); + } while ((goback = goback->entry.rbe_parent)); + } + } else + head->rbh_root = elm; + rb_tree_insert_color(head, elm); + return (NULL); +} + +void *rb_tree_find(rb_tree_t *head, void *key) { + rb_node_t *tmp = head->rbh_root; + int comp; + while (tmp) { + comp = head->cmp(key, (void *)tmp->content); + if (comp < 0) + tmp = tmp->entry.rbe_left; + else if (comp > 0) + tmp = tmp->entry.rbe_right; + else + return tmp; + } + return (NULL); +} + +void *rb_tree_next(rb_tree_t *head, void *elmv) { + rb_node_t *elm = elmv; + if (elm->entry.rbe_right) { + elm = elm->entry.rbe_right; + while (elm->entry.rbe_left) + elm = elm->entry.rbe_left; + } else { + if (elm->entry.rbe_parent && + (elm == (elm->entry.rbe_parent)->entry.rbe_left)) + elm = elm->entry.rbe_parent; + else { + while (elm->entry.rbe_parent && + (elm == (elm->entry.rbe_parent)->entry.rbe_right)) + elm = elm->entry.rbe_parent; + elm = elm->entry.rbe_parent; + } + } + return elm; +} + +static rb_node_t *rb_tree_minmax(rb_tree_t *head, int val) { + rb_node_t *tmp = head->rbh_root; + rb_node_t *parent = NULL; + while (tmp) { + parent = tmp; + if (val < 0) + tmp = tmp->entry.rbe_left; + else + tmp = tmp->entry.rbe_right; + } + return parent; +}; + +static void destroy_rb_tree_impl(rb_node_t *node, void (*free_cb)(void *)) { + if (node == NULL) return; + if (free_cb != NULL) free_cb(node->content); + destroy_rb_tree_impl(node->entry.rbe_left, free_cb); + destroy_rb_tree_impl(node->entry.rbe_right, free_cb); + free(node); +} + +void destroy_rb_tree(rb_tree_t *head, void (*free_cb)(void *)) { + destroy_rb_tree_impl(head->rbh_root, free_cb); +} |
