2001-09-09 22:24:39 -04:00
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/*
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2018-10-12 06:28:09 -04:00
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* Copyright (C) 1995-1997 Sam Rushing <rushing@nightmare.com>
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* Copyright (C) 2012-2018 Philipp "ph3-der-loewe" Schafft <lion@lion.leolix.org>
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2001-09-09 22:24:39 -04:00
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*
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* All Rights Reserved
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*
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* Permission to use, copy, modify, and distribute this software and
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* its documentation for any purpose and without fee is hereby
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* granted, provided that the above copyright notice appear in all
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* copies and that both that copyright notice and this permission
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* notice appear in supporting documentation, and that the name of Sam
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* Rushing not be used in advertising or publicity pertaining to
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* distribution of the software without specific, written prior
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* permission.
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*
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* SAM RUSHING DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
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* INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS, IN
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* NO EVENT SHALL SAM RUSHING BE LIABLE FOR ANY SPECIAL, INDIRECT OR
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* CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS
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* OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT,
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* NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN
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* CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
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*
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*/
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2004-01-26 21:16:25 -05:00
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/* $Id: avl.c,v 1.11 2004/01/27 02:16:25 karl Exp $ */
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2001-09-09 22:24:39 -04:00
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/*
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* This is a fairly straightfoward translation of a prototype
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2018-10-12 07:27:17 -04:00
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* written in python, 'igloo_avl_tree.py'. Read that file first.
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2001-09-09 22:24:39 -04:00
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*/
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2003-03-08 11:05:38 -05:00
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#ifdef HAVE_CONFIG_H
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#include <config.h>
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#endif
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2001-09-09 22:24:39 -04:00
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#include <stdio.h>
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#include <stdlib.h>
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2018-10-26 10:20:20 -04:00
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#include "../include/igloo/avl.h"
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2001-09-09 22:24:39 -04:00
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2018-10-12 07:27:17 -04:00
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igloo_avl_node *
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2018-10-12 06:55:24 -04:00
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igloo_avl_node_new (void * key,
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2018-10-12 07:27:17 -04:00
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igloo_avl_node * parent)
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2001-09-09 22:24:39 -04:00
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{
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2018-10-12 07:27:17 -04:00
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igloo_avl_node * node = (igloo_avl_node *) malloc (sizeof (igloo_avl_node));
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2001-09-09 22:24:39 -04:00
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if (!node) {
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return NULL;
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} else {
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node->parent = parent;
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node->key = key;
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node->left = NULL;
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node->right = NULL;
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node->rank_and_balance = 0;
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AVL_SET_BALANCE (node, 0);
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AVL_SET_RANK (node, 1);
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2008-07-18 21:30:16 -04:00
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#ifdef HAVE_AVL_NODE_LOCK
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2001-09-09 22:24:39 -04:00
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thread_rwlock_create(&node->rwlock);
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2008-07-18 21:30:16 -04:00
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#endif
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2001-09-09 22:24:39 -04:00
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return node;
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}
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2003-03-14 21:10:19 -05:00
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}
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2001-09-09 22:24:39 -04:00
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2018-10-12 07:27:17 -04:00
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igloo_avl_tree *
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igloo_avl_tree_new (igloo_avl_key_compare_fun_type compare_fun,
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2003-03-14 21:10:19 -05:00
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void * compare_arg)
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2001-09-09 22:24:39 -04:00
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{
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2018-10-12 07:27:17 -04:00
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igloo_avl_tree * t = (igloo_avl_tree *) malloc (sizeof (igloo_avl_tree));
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2001-09-09 22:24:39 -04:00
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if (!t) {
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return NULL;
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} else {
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2018-10-12 07:27:17 -04:00
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igloo_avl_node * root = igloo_avl_node_new((void *)NULL, (igloo_avl_node *) NULL);
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2001-09-09 22:24:39 -04:00
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if (!root) {
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2006-03-07 14:22:29 -05:00
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free (t);
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2001-09-09 22:24:39 -04:00
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return NULL;
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} else {
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t->root = root;
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t->height = 0;
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t->length = 0;
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t->compare_fun = compare_fun;
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t->compare_arg = compare_arg;
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thread_rwlock_create(&t->rwlock);
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return t;
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}
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}
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}
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2003-07-06 21:10:14 -04:00
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static void
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2018-10-12 07:27:17 -04:00
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igloo_avl_tree_free_helper (igloo_avl_node * node, igloo_avl_free_key_fun_type free_key_fun)
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2001-09-09 22:24:39 -04:00
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{
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if (node->left) {
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2018-10-12 06:55:24 -04:00
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igloo_avl_tree_free_helper (node->left, free_key_fun);
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2001-09-09 22:24:39 -04:00
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}
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2004-01-26 21:16:25 -05:00
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if (free_key_fun)
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free_key_fun (node->key);
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2001-09-09 22:24:39 -04:00
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if (node->right) {
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2018-10-12 06:55:24 -04:00
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igloo_avl_tree_free_helper (node->right, free_key_fun);
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2001-09-09 22:24:39 -04:00
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}
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2008-07-18 21:30:16 -04:00
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#ifdef HAVE_AVL_NODE_LOCK
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2018-10-12 06:55:24 -04:00
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igloo_thread_rwlock_destroy (&node->rwlock);
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2008-07-18 21:30:16 -04:00
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#endif
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2001-09-09 22:24:39 -04:00
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free (node);
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}
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void
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2018-10-12 07:27:17 -04:00
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igloo_avl_tree_free (igloo_avl_tree * tree, igloo_avl_free_key_fun_type free_key_fun)
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2001-09-09 22:24:39 -04:00
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{
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if (tree->length) {
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2018-10-12 06:55:24 -04:00
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igloo_avl_tree_free_helper (tree->root->right, free_key_fun);
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2001-09-09 22:24:39 -04:00
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}
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if (tree->root) {
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2008-07-18 21:30:16 -04:00
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#ifdef HAVE_AVL_NODE_LOCK
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2018-10-12 06:55:24 -04:00
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igloo_thread_rwlock_destroy(&tree->root->rwlock);
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2008-07-18 21:30:16 -04:00
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#endif
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2001-09-09 22:24:39 -04:00
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free (tree->root);
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}
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2018-10-12 06:55:24 -04:00
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igloo_thread_rwlock_destroy(&tree->rwlock);
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2001-09-09 22:24:39 -04:00
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free (tree);
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}
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int
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2018-10-12 07:27:17 -04:00
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igloo_avl_insert (igloo_avl_tree * ob,
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2003-03-14 21:10:19 -05:00
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void * key)
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2001-09-09 22:24:39 -04:00
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{
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if (!(ob->root->right)) {
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2018-10-12 07:27:17 -04:00
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igloo_avl_node * node = igloo_avl_node_new (key, ob->root);
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2001-09-09 22:24:39 -04:00
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if (!node) {
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return -1;
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} else {
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ob->root->right = node;
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ob->length = ob->length + 1;
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return 0;
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}
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} else { /* not self.right == None */
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2018-10-12 07:27:17 -04:00
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igloo_avl_node *t, *p, *s, *q, *r;
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2001-09-09 22:24:39 -04:00
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int a;
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t = ob->root;
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s = p = t->right;
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while (1) {
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if (ob->compare_fun (ob->compare_arg, key, p->key) < 1) {
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2003-03-14 21:10:19 -05:00
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/* move left */
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AVL_SET_RANK (p, (AVL_GET_RANK (p) + 1));
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q = p->left;
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if (!q) {
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/* insert */
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2018-10-12 07:27:17 -04:00
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igloo_avl_node * q_node = igloo_avl_node_new (key, p);
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2003-03-14 21:10:19 -05:00
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if (!q_node) {
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return (-1);
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2001-09-09 22:24:39 -04:00
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} else {
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2003-03-14 21:10:19 -05:00
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q = q_node;
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p->left = q;
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break;
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}
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} else if (AVL_GET_BALANCE(q)) {
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t = p;
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s = q;
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}
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p = q;
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} else {
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/* move right */
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q = p->right;
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if (!q) {
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/* insert */
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2018-10-12 07:27:17 -04:00
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igloo_avl_node * q_node = igloo_avl_node_new (key, p);
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2003-03-14 21:10:19 -05:00
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if (!q_node) {
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return -1;
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} else {
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q = q_node;
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p->right = q;
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break;
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}
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} else if (AVL_GET_BALANCE(q)) {
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t = p;
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s = q;
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}
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p = q;
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2001-09-09 22:24:39 -04:00
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}
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}
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ob->length = ob->length + 1;
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/* adjust balance factors */
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if (ob->compare_fun (ob->compare_arg, key, s->key) < 1) {
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r = p = s->left;
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} else {
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r = p = s->right;
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}
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while (p != q) {
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if (ob->compare_fun (ob->compare_arg, key, p->key) < 1) {
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2003-03-14 21:10:19 -05:00
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AVL_SET_BALANCE (p, -1);
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p = p->left;
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2001-09-09 22:24:39 -04:00
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} else {
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2003-03-14 21:10:19 -05:00
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AVL_SET_BALANCE (p, +1);
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p = p->right;
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2001-09-09 22:24:39 -04:00
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}
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}
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/* balancing act */
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if (ob->compare_fun (ob->compare_arg, key, s->key) < 1) {
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a = -1;
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} else {
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a = +1;
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}
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if (AVL_GET_BALANCE (s) == 0) {
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AVL_SET_BALANCE (s, a);
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ob->height = ob->height + 1;
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return 0;
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} else if (AVL_GET_BALANCE (s) == -a) {
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AVL_SET_BALANCE (s, 0);
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return 0;
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} else if (AVL_GET_BALANCE(s) == a) {
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if (AVL_GET_BALANCE (r) == a) {
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2003-03-14 21:10:19 -05:00
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/* single rotation */
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p = r;
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if (a == -1) {
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s->left = r->right;
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if (r->right) {
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r->right->parent = s;
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}
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r->right = s;
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s->parent = r;
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AVL_SET_RANK (s, (AVL_GET_RANK (s) - AVL_GET_RANK (r)));
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} else {
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s->right = r->left;
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if (r->left) {
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r->left->parent = s;
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}
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r->left = s;
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s->parent = r;
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AVL_SET_RANK (r, (AVL_GET_RANK (r) + AVL_GET_RANK (s)));
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}
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AVL_SET_BALANCE (s, 0);
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AVL_SET_BALANCE (r, 0);
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2001-09-09 22:24:39 -04:00
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} else if (AVL_GET_BALANCE (r) == -a) {
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2003-03-14 21:10:19 -05:00
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/* double rotation */
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if (a == -1) {
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p = r->right;
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r->right = p->left;
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if (p->left) {
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p->left->parent = r;
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}
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p->left = r;
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r->parent = p;
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s->left = p->right;
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if (p->right) {
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p->right->parent = s;
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}
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p->right = s;
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s->parent = p;
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AVL_SET_RANK (p, (AVL_GET_RANK (p) + AVL_GET_RANK (r)));
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AVL_SET_RANK (s, (AVL_GET_RANK (s) - AVL_GET_RANK (p)));
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} else {
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p = r->left;
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r->left = p->right;
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if (p->right) {
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p->right->parent = r;
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}
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p->right = r;
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r->parent = p;
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s->right = p->left;
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if (p->left) {
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p->left->parent = s;
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}
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p->left = s;
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s->parent = p;
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AVL_SET_RANK (r, (AVL_GET_RANK (r) - AVL_GET_RANK (p)));
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AVL_SET_RANK (p, (AVL_GET_RANK (p) + AVL_GET_RANK (s)));
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}
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if (AVL_GET_BALANCE (p) == a) {
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AVL_SET_BALANCE (s, -a);
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AVL_SET_BALANCE (r, 0);
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} else if (AVL_GET_BALANCE (p) == -a) {
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AVL_SET_BALANCE (s, 0);
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AVL_SET_BALANCE (r, a);
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} else {
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AVL_SET_BALANCE (s, 0);
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AVL_SET_BALANCE (r, 0);
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}
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AVL_SET_BALANCE (p, 0);
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2001-09-09 22:24:39 -04:00
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}
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/* finishing touch */
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if (s == t->right) {
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2003-03-14 21:10:19 -05:00
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t->right = p;
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2001-09-09 22:24:39 -04:00
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} else {
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2003-03-14 21:10:19 -05:00
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t->left = p;
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2001-09-09 22:24:39 -04:00
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}
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p->parent = t;
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}
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}
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return 0;
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}
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int
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2018-10-12 07:27:17 -04:00
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igloo_avl_get_by_index (igloo_avl_tree * tree,
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2003-03-14 21:10:19 -05:00
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unsigned long index,
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void ** value_address)
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2001-09-09 22:24:39 -04:00
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{
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2018-10-12 07:27:17 -04:00
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igloo_avl_node * p = tree->root->right;
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2001-09-09 22:24:39 -04:00
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unsigned long m = index + 1;
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while (1) {
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if (!p) {
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return -1;
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}
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if (m < AVL_GET_RANK(p)) {
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p = p->left;
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} else if (m > AVL_GET_RANK(p)) {
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|
|
m = m - AVL_GET_RANK(p);
|
|
|
|
p = p->right;
|
|
|
|
} else {
|
|
|
|
*value_address = p->key;
|
|
|
|
return 0;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
2003-03-14 21:10:19 -05:00
|
|
|
|
2001-09-09 22:24:39 -04:00
|
|
|
int
|
2018-10-12 07:27:17 -04:00
|
|
|
igloo_avl_get_by_key (igloo_avl_tree * tree,
|
2003-03-14 21:10:19 -05:00
|
|
|
void * key,
|
|
|
|
void **value_address)
|
2001-09-09 22:24:39 -04:00
|
|
|
{
|
2018-10-12 07:27:17 -04:00
|
|
|
igloo_avl_node * x = tree->root->right;
|
2001-09-09 22:24:39 -04:00
|
|
|
if (!x) {
|
|
|
|
return -1;
|
|
|
|
}
|
|
|
|
while (1) {
|
|
|
|
int compare_result = tree->compare_fun (tree->compare_arg, key, x->key);
|
|
|
|
if (compare_result < 0) {
|
|
|
|
if (x->left) {
|
2003-03-14 21:10:19 -05:00
|
|
|
x = x->left;
|
2001-09-09 22:24:39 -04:00
|
|
|
} else {
|
2003-03-14 21:10:19 -05:00
|
|
|
return -1;
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
} else if (compare_result > 0) {
|
|
|
|
if (x->right) {
|
2003-03-14 21:10:19 -05:00
|
|
|
x = x->right;
|
2001-09-09 22:24:39 -04:00
|
|
|
} else {
|
2003-03-14 21:10:19 -05:00
|
|
|
return -1;
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
} else {
|
|
|
|
*value_address = x->key;
|
|
|
|
return 0;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
2018-10-12 07:27:17 -04:00
|
|
|
int igloo_avl_delete(igloo_avl_tree *tree, void *key, igloo_avl_free_key_fun_type free_key_fun)
|
2001-09-09 22:24:39 -04:00
|
|
|
{
|
2018-10-12 07:27:17 -04:00
|
|
|
igloo_avl_node *x, *y, *p, *q, *r, *top, *x_child;
|
2001-09-09 22:24:39 -04:00
|
|
|
int shortened_side, shorter;
|
|
|
|
|
|
|
|
x = tree->root->right;
|
|
|
|
if (!x) {
|
|
|
|
return -1;
|
|
|
|
}
|
|
|
|
while (1) {
|
|
|
|
int compare_result = tree->compare_fun (tree->compare_arg, key, x->key);
|
|
|
|
if (compare_result < 0) {
|
|
|
|
/* move left
|
|
|
|
* We will be deleting from the left, adjust this node's
|
|
|
|
* rank accordingly
|
|
|
|
*/
|
|
|
|
AVL_SET_RANK (x, (AVL_GET_RANK(x) - 1));
|
|
|
|
if (x->left) {
|
2003-03-14 21:10:19 -05:00
|
|
|
x = x->left;
|
2001-09-09 22:24:39 -04:00
|
|
|
} else {
|
2003-03-14 21:10:19 -05:00
|
|
|
/* Oops! now we have to undo the rank changes
|
|
|
|
* all the way up the tree
|
|
|
|
*/
|
|
|
|
AVL_SET_RANK(x, (AVL_GET_RANK (x) + 1));
|
|
|
|
while (x != tree->root->right) {
|
|
|
|
if (x->parent->left == x) {
|
|
|
|
AVL_SET_RANK(x->parent, (AVL_GET_RANK (x->parent) + 1));
|
|
|
|
}
|
|
|
|
x = x->parent;
|
|
|
|
}
|
|
|
|
return -1; /* key not in tree */
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
} else if (compare_result > 0) {
|
|
|
|
/* move right */
|
|
|
|
if (x->right) {
|
2003-03-14 21:10:19 -05:00
|
|
|
x = x->right;
|
2001-09-09 22:24:39 -04:00
|
|
|
} else {
|
2003-03-14 21:10:19 -05:00
|
|
|
AVL_SET_RANK(x, (AVL_GET_RANK (x) + 1));
|
|
|
|
while (x != tree->root->right) {
|
|
|
|
if (x->parent->left == x) {
|
|
|
|
AVL_SET_RANK(x->parent, (AVL_GET_RANK (x->parent) + 1));
|
|
|
|
}
|
|
|
|
x = x->parent;
|
|
|
|
}
|
|
|
|
return -1; /* key not in tree */
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
} else {
|
|
|
|
break;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
if (x->left && x->right) {
|
|
|
|
void * temp_key;
|
|
|
|
|
|
|
|
/* The complicated case.
|
|
|
|
* reduce this to the simple case where we are deleting
|
|
|
|
* a node with at most one child.
|
|
|
|
*/
|
|
|
|
|
|
|
|
/* find the immediate predecessor <y> */
|
|
|
|
y = x->left;
|
|
|
|
while (y->right) {
|
|
|
|
y = y->right;
|
|
|
|
}
|
|
|
|
/* swap <x> with <y> */
|
|
|
|
temp_key = x->key;
|
|
|
|
x->key = y->key;
|
|
|
|
y->key = temp_key;
|
|
|
|
/* we know <x>'s left subtree lost a node because that's
|
|
|
|
* where we took it from
|
|
|
|
*/
|
|
|
|
AVL_SET_RANK (x, (AVL_GET_RANK (x) - 1));
|
|
|
|
x = y;
|
|
|
|
}
|
|
|
|
/* now <x> has at most one child
|
|
|
|
* scoot this child into the place of <x>
|
|
|
|
*/
|
|
|
|
if (x->left) {
|
|
|
|
x_child = x->left;
|
|
|
|
x_child->parent = x->parent;
|
|
|
|
} else if (x->right) {
|
|
|
|
x_child = x->right;
|
|
|
|
x_child->parent = x->parent;
|
|
|
|
} else {
|
|
|
|
x_child = NULL;
|
|
|
|
}
|
|
|
|
|
|
|
|
/* now tell <x>'s parent that a grandchild became a child */
|
|
|
|
if (x == x->parent->left) {
|
|
|
|
x->parent->left = x_child;
|
|
|
|
shortened_side = -1;
|
|
|
|
} else {
|
|
|
|
x->parent->right = x_child;
|
|
|
|
shortened_side = +1;
|
|
|
|
}
|
|
|
|
|
|
|
|
/*
|
|
|
|
* the height of the subtree <x>
|
|
|
|
* has now been shortened. climb back up
|
|
|
|
* the tree, rotating when necessary to adjust
|
|
|
|
* for the change.
|
|
|
|
*/
|
|
|
|
shorter = 1;
|
|
|
|
p = x->parent;
|
|
|
|
|
|
|
|
/* return the key and node to storage */
|
2004-01-26 21:16:25 -05:00
|
|
|
if (free_key_fun)
|
|
|
|
free_key_fun (x->key);
|
2008-07-18 21:30:16 -04:00
|
|
|
#ifdef HAVE_AVL_NODE_LOCK
|
2018-10-12 06:55:24 -04:00
|
|
|
igloo_thread_rwlock_destroy (&x->rwlock);
|
2008-07-18 21:30:16 -04:00
|
|
|
#endif
|
2001-09-09 22:24:39 -04:00
|
|
|
free (x);
|
|
|
|
|
|
|
|
while (shorter && p->parent) {
|
|
|
|
|
|
|
|
/* case 1: height unchanged */
|
|
|
|
if (AVL_GET_BALANCE(p) == 0) {
|
|
|
|
if (shortened_side == -1) {
|
2003-03-14 21:10:19 -05:00
|
|
|
/* we removed a left child, the tree is now heavier
|
|
|
|
* on the right
|
|
|
|
*/
|
|
|
|
AVL_SET_BALANCE (p, +1);
|
2001-09-09 22:24:39 -04:00
|
|
|
} else {
|
2003-03-14 21:10:19 -05:00
|
|
|
/* we removed a right child, the tree is now heavier
|
|
|
|
* on the left
|
|
|
|
*/
|
|
|
|
AVL_SET_BALANCE (p, -1);
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
shorter = 0;
|
|
|
|
|
|
|
|
} else if (AVL_GET_BALANCE (p) == shortened_side) {
|
|
|
|
/* case 2: taller subtree shortened, height reduced */
|
|
|
|
AVL_SET_BALANCE (p, 0);
|
|
|
|
} else {
|
|
|
|
/* case 3: shorter subtree shortened */
|
|
|
|
top = p->parent;
|
|
|
|
/* set <q> to the taller of the two subtrees of <p> */
|
|
|
|
if (shortened_side == 1) {
|
2003-03-14 21:10:19 -05:00
|
|
|
q = p->left;
|
2001-09-09 22:24:39 -04:00
|
|
|
} else {
|
2003-03-14 21:10:19 -05:00
|
|
|
q = p->right;
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
if (AVL_GET_BALANCE (q) == 0) {
|
2003-03-14 21:10:19 -05:00
|
|
|
/* case 3a: height unchanged */
|
|
|
|
if (shortened_side == -1) {
|
|
|
|
/* single rotate left */
|
|
|
|
q->parent = p->parent;
|
|
|
|
p->right = q->left;
|
|
|
|
if (q->left) {
|
|
|
|
q->left->parent = p;
|
|
|
|
}
|
|
|
|
q->left = p;
|
|
|
|
p->parent = q;
|
|
|
|
AVL_SET_RANK (q, (AVL_GET_RANK (q) + AVL_GET_RANK (p)));
|
|
|
|
} else {
|
|
|
|
/* single rotate right */
|
|
|
|
q->parent = p->parent;
|
|
|
|
p->left = q->right;
|
|
|
|
if (q->right) {
|
|
|
|
q->right->parent = p;
|
|
|
|
}
|
|
|
|
q->right = p;
|
|
|
|
p->parent = q;
|
|
|
|
AVL_SET_RANK (p, (AVL_GET_RANK (p) - AVL_GET_RANK (q)));
|
|
|
|
}
|
|
|
|
shorter = 0;
|
|
|
|
AVL_SET_BALANCE (q, shortened_side);
|
|
|
|
AVL_SET_BALANCE (p, (- shortened_side));
|
2001-09-09 22:24:39 -04:00
|
|
|
} else if (AVL_GET_BALANCE (q) == AVL_GET_BALANCE (p)) {
|
2003-03-14 21:10:19 -05:00
|
|
|
/* case 3b: height reduced */
|
|
|
|
if (shortened_side == -1) {
|
|
|
|
/* single rotate left */
|
|
|
|
q->parent = p->parent;
|
|
|
|
p->right = q->left;
|
|
|
|
if (q->left) {
|
|
|
|
q->left->parent = p;
|
|
|
|
}
|
|
|
|
q->left = p;
|
|
|
|
p->parent = q;
|
|
|
|
AVL_SET_RANK (q, (AVL_GET_RANK (q) + AVL_GET_RANK (p)));
|
|
|
|
} else {
|
|
|
|
/* single rotate right */
|
|
|
|
q->parent = p->parent;
|
|
|
|
p->left = q->right;
|
|
|
|
if (q->right) {
|
|
|
|
q->right->parent = p;
|
|
|
|
}
|
|
|
|
q->right = p;
|
|
|
|
p->parent = q;
|
|
|
|
AVL_SET_RANK (p, (AVL_GET_RANK (p) - AVL_GET_RANK (q)));
|
|
|
|
}
|
|
|
|
shorter = 1;
|
|
|
|
AVL_SET_BALANCE (q, 0);
|
|
|
|
AVL_SET_BALANCE (p, 0);
|
2001-09-09 22:24:39 -04:00
|
|
|
} else {
|
2003-03-14 21:10:19 -05:00
|
|
|
/* case 3c: height reduced, balance factors opposite */
|
|
|
|
if (shortened_side == 1) {
|
|
|
|
/* double rotate right */
|
|
|
|
/* first, a left rotation around q */
|
|
|
|
r = q->right;
|
|
|
|
r->parent = p->parent;
|
|
|
|
q->right = r->left;
|
|
|
|
if (r->left) {
|
|
|
|
r->left->parent = q;
|
|
|
|
}
|
|
|
|
r->left = q;
|
|
|
|
q->parent = r;
|
|
|
|
/* now, a right rotation around p */
|
|
|
|
p->left = r->right;
|
|
|
|
if (r->right) {
|
|
|
|
r->right->parent = p;
|
|
|
|
}
|
|
|
|
r->right = p;
|
|
|
|
p->parent = r;
|
|
|
|
AVL_SET_RANK (r, (AVL_GET_RANK (r) + AVL_GET_RANK (q)));
|
|
|
|
AVL_SET_RANK (p, (AVL_GET_RANK (p) - AVL_GET_RANK (r)));
|
|
|
|
} else {
|
|
|
|
/* double rotate left */
|
|
|
|
/* first, a right rotation around q */
|
|
|
|
r = q->left;
|
|
|
|
r->parent = p->parent;
|
|
|
|
q->left = r->right;
|
|
|
|
if (r->right) {
|
|
|
|
r->right->parent = q;
|
|
|
|
}
|
|
|
|
r->right = q;
|
|
|
|
q->parent = r;
|
|
|
|
/* now a left rotation around p */
|
|
|
|
p->right = r->left;
|
|
|
|
if (r->left) {
|
|
|
|
r->left->parent = p;
|
|
|
|
}
|
|
|
|
r->left = p;
|
|
|
|
p->parent = r;
|
|
|
|
AVL_SET_RANK (q, (AVL_GET_RANK (q) - AVL_GET_RANK (r)));
|
|
|
|
AVL_SET_RANK (r, (AVL_GET_RANK (r) + AVL_GET_RANK (p)));
|
|
|
|
}
|
|
|
|
if (AVL_GET_BALANCE (r) == shortened_side) {
|
|
|
|
AVL_SET_BALANCE (q, (- shortened_side));
|
|
|
|
AVL_SET_BALANCE (p, 0);
|
|
|
|
} else if (AVL_GET_BALANCE (r) == (- shortened_side)) {
|
|
|
|
AVL_SET_BALANCE (q, 0);
|
|
|
|
AVL_SET_BALANCE (p, shortened_side);
|
|
|
|
} else {
|
|
|
|
AVL_SET_BALANCE (q, 0);
|
|
|
|
AVL_SET_BALANCE (p, 0);
|
|
|
|
}
|
|
|
|
AVL_SET_BALANCE (r, 0);
|
|
|
|
q = r;
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
/* a rotation has caused <q> (or <r> in case 3c) to become
|
|
|
|
* the root. let <p>'s former parent know this.
|
|
|
|
*/
|
|
|
|
if (top->left == p) {
|
2003-03-14 21:10:19 -05:00
|
|
|
top->left = q;
|
2001-09-09 22:24:39 -04:00
|
|
|
} else {
|
2003-03-14 21:10:19 -05:00
|
|
|
top->right = q;
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
/* end case 3 */
|
|
|
|
p = q;
|
|
|
|
}
|
|
|
|
x = p;
|
|
|
|
p = x->parent;
|
|
|
|
/* shortened_side tells us which side we came up from */
|
|
|
|
if (x == p->left) {
|
|
|
|
shortened_side = -1;
|
|
|
|
} else {
|
|
|
|
shortened_side = +1;
|
|
|
|
}
|
|
|
|
} /* end while(shorter) */
|
|
|
|
/* when we're all done, we're one shorter */
|
|
|
|
tree->length = tree->length - 1;
|
|
|
|
return (0);
|
|
|
|
}
|
|
|
|
|
2003-07-06 21:10:14 -04:00
|
|
|
static int
|
2018-10-12 07:27:17 -04:00
|
|
|
igloo_avl_iterate_inorder_helper (igloo_avl_node * node,
|
|
|
|
igloo_avl_iter_fun_type iter_fun,
|
2003-03-14 21:10:19 -05:00
|
|
|
void * iter_arg)
|
2001-09-09 22:24:39 -04:00
|
|
|
{
|
|
|
|
int result;
|
|
|
|
if (node->left) {
|
2018-10-12 06:55:24 -04:00
|
|
|
result = igloo_avl_iterate_inorder_helper (node->left, iter_fun, iter_arg);
|
2001-09-09 22:24:39 -04:00
|
|
|
if (result != 0) {
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
result = (iter_fun (node->key, iter_arg));
|
|
|
|
if (result != 0) {
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
if (node->right) {
|
2018-10-12 06:55:24 -04:00
|
|
|
result = igloo_avl_iterate_inorder_helper (node->right, iter_fun, iter_arg);
|
2001-09-09 22:24:39 -04:00
|
|
|
if (result != 0) {
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
return 0;
|
|
|
|
}
|
|
|
|
|
|
|
|
int
|
2018-10-12 07:27:17 -04:00
|
|
|
igloo_avl_iterate_inorder (igloo_avl_tree * tree,
|
|
|
|
igloo_avl_iter_fun_type iter_fun,
|
2003-03-14 21:10:19 -05:00
|
|
|
void * iter_arg)
|
2001-09-09 22:24:39 -04:00
|
|
|
{
|
|
|
|
int result;
|
|
|
|
|
|
|
|
if (tree->length) {
|
2018-10-12 06:55:24 -04:00
|
|
|
result = igloo_avl_iterate_inorder_helper (tree->root->right, iter_fun, iter_arg);
|
2001-09-09 22:24:39 -04:00
|
|
|
return (result);
|
|
|
|
} else {
|
|
|
|
return 0;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
2018-10-12 07:27:17 -04:00
|
|
|
igloo_avl_node *igloo_avl_get_first(igloo_avl_tree *tree)
|
2001-09-09 22:24:39 -04:00
|
|
|
{
|
2018-10-12 07:27:17 -04:00
|
|
|
igloo_avl_node *node;
|
2003-03-14 21:10:19 -05:00
|
|
|
|
|
|
|
node = tree->root->right;
|
|
|
|
if (node == NULL || node->key == NULL) return NULL;
|
2001-09-09 22:24:39 -04:00
|
|
|
|
2003-03-14 21:10:19 -05:00
|
|
|
while (node->left)
|
|
|
|
node = node->left;
|
2001-09-09 22:24:39 -04:00
|
|
|
|
2003-03-14 21:10:19 -05:00
|
|
|
return node;
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
|
2018-10-12 07:27:17 -04:00
|
|
|
igloo_avl_node *igloo_avl_get_prev(igloo_avl_node *node)
|
2001-09-09 22:24:39 -04:00
|
|
|
{
|
2003-03-14 21:10:19 -05:00
|
|
|
if (node->left) {
|
|
|
|
node = node->left;
|
|
|
|
while (node->right) {
|
|
|
|
node = node->right;
|
|
|
|
}
|
|
|
|
|
|
|
|
return node;
|
|
|
|
} else {
|
2018-10-12 07:27:17 -04:00
|
|
|
igloo_avl_node *child = node;
|
2003-03-14 21:10:19 -05:00
|
|
|
while (node->parent && node->parent->key) {
|
|
|
|
node = node->parent;
|
|
|
|
if (child == node->right) {
|
|
|
|
return node;
|
|
|
|
}
|
|
|
|
child = node;
|
|
|
|
}
|
|
|
|
|
|
|
|
return NULL;
|
|
|
|
}
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
|
2018-10-12 07:27:17 -04:00
|
|
|
igloo_avl_node *igloo_avl_get_next(igloo_avl_node *node)
|
2001-09-09 22:24:39 -04:00
|
|
|
{
|
2003-03-14 21:10:19 -05:00
|
|
|
if (node->right) {
|
|
|
|
node = node->right;
|
|
|
|
while (node->left) {
|
|
|
|
node = node->left;
|
|
|
|
}
|
|
|
|
|
|
|
|
return node;
|
|
|
|
} else {
|
2018-10-12 07:27:17 -04:00
|
|
|
igloo_avl_node *child = node;
|
2003-03-14 21:10:19 -05:00
|
|
|
while (node->parent && node->parent->key) {
|
|
|
|
node = node->parent;
|
|
|
|
if (child == node->left) {
|
|
|
|
return node;
|
|
|
|
}
|
|
|
|
child = node;
|
|
|
|
}
|
|
|
|
|
|
|
|
return NULL;
|
|
|
|
}
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
|
|
|
|
/* iterate a function over a range of indices, using get_predecessor */
|
|
|
|
|
|
|
|
int
|
2018-10-12 07:27:17 -04:00
|
|
|
igloo_avl_iterate_index_range (igloo_avl_tree * tree,
|
|
|
|
igloo_avl_iter_index_fun_type iter_fun,
|
2003-03-14 21:10:19 -05:00
|
|
|
unsigned long low,
|
|
|
|
unsigned long high,
|
|
|
|
void * iter_arg)
|
2001-09-09 22:24:39 -04:00
|
|
|
{
|
|
|
|
unsigned long m;
|
|
|
|
unsigned long num_left;
|
2018-10-12 07:27:17 -04:00
|
|
|
igloo_avl_node * node;
|
2001-09-09 22:24:39 -04:00
|
|
|
|
|
|
|
if (high > tree->length) {
|
|
|
|
return -1;
|
|
|
|
}
|
|
|
|
num_left = (high - low);
|
|
|
|
/* find the <high-1>th node */
|
|
|
|
m = high;
|
|
|
|
node = tree->root->right;
|
|
|
|
while (1) {
|
|
|
|
if (m < AVL_GET_RANK (node)) {
|
|
|
|
node = node->left;
|
|
|
|
} else if (m > AVL_GET_RANK (node)) {
|
|
|
|
m = m - AVL_GET_RANK (node);
|
|
|
|
node = node->right;
|
|
|
|
} else {
|
|
|
|
break;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
/* call <iter_fun> on <node>, <get_pred(node)>, ... */
|
|
|
|
while (num_left) {
|
|
|
|
num_left = num_left - 1;
|
|
|
|
if (iter_fun (num_left, node->key, iter_arg) != 0) {
|
|
|
|
return -1;
|
|
|
|
}
|
2018-10-12 06:55:24 -04:00
|
|
|
node = igloo_avl_get_prev (node);
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
return 0;
|
|
|
|
}
|
|
|
|
|
|
|
|
/* If <key> is present in the tree, return that key's node, and set <*index>
|
|
|
|
* appropriately. If not, return NULL, and set <*index> to the position
|
|
|
|
* representing the closest preceding value.
|
|
|
|
*/
|
|
|
|
|
2018-10-12 07:27:17 -04:00
|
|
|
static igloo_avl_node *
|
|
|
|
igloo_avl_get_index_by_key (igloo_avl_tree * tree,
|
2003-03-14 21:10:19 -05:00
|
|
|
void * key,
|
|
|
|
unsigned long * index)
|
2001-09-09 22:24:39 -04:00
|
|
|
{
|
2018-10-12 07:27:17 -04:00
|
|
|
igloo_avl_node * x = tree->root->right;
|
2001-09-09 22:24:39 -04:00
|
|
|
unsigned long m;
|
|
|
|
|
|
|
|
if (!x) {
|
|
|
|
return NULL;
|
|
|
|
}
|
|
|
|
m = AVL_GET_RANK (x);
|
|
|
|
|
|
|
|
while (1) {
|
|
|
|
int compare_result = tree->compare_fun (tree->compare_arg, key, x->key);
|
|
|
|
if (compare_result < 0) {
|
|
|
|
if (x->left) {
|
2003-03-14 21:10:19 -05:00
|
|
|
m = m - AVL_GET_RANK(x);
|
|
|
|
x = x->left;
|
|
|
|
m = m + AVL_GET_RANK(x);
|
2001-09-09 22:24:39 -04:00
|
|
|
} else {
|
2003-03-14 21:10:19 -05:00
|
|
|
*index = m - 2;
|
|
|
|
return NULL;
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
} else if (compare_result > 0) {
|
|
|
|
if (x->right) {
|
2003-03-14 21:10:19 -05:00
|
|
|
x = x->right;
|
|
|
|
m = m + AVL_GET_RANK(x);
|
2001-09-09 22:24:39 -04:00
|
|
|
} else {
|
2003-03-14 21:10:19 -05:00
|
|
|
*index = m - 1;
|
|
|
|
return NULL;
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
} else {
|
|
|
|
*index = m - 1;
|
|
|
|
return x;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
/* return the (low index, high index) pair that spans the given key */
|
|
|
|
|
|
|
|
int
|
2018-10-12 07:27:17 -04:00
|
|
|
igloo_avl_get_span_by_key (igloo_avl_tree * tree,
|
2003-03-14 21:10:19 -05:00
|
|
|
void * key,
|
|
|
|
unsigned long * low,
|
|
|
|
unsigned long * high)
|
2001-09-09 22:24:39 -04:00
|
|
|
{
|
|
|
|
unsigned long m, i, j;
|
2018-10-12 07:27:17 -04:00
|
|
|
igloo_avl_node * node;
|
2001-09-09 22:24:39 -04:00
|
|
|
|
2018-10-12 06:55:24 -04:00
|
|
|
node = igloo_avl_get_index_by_key (tree, key, &m);
|
2001-09-09 22:24:39 -04:00
|
|
|
|
|
|
|
/* did we find an exact match?
|
|
|
|
* if so, we have to search left and right
|
|
|
|
* to find the span, since we know nothing about
|
|
|
|
* the arrangement of like keys.
|
|
|
|
*/
|
|
|
|
if (node) {
|
2018-10-12 07:27:17 -04:00
|
|
|
igloo_avl_node * left, * right;
|
2001-09-09 22:24:39 -04:00
|
|
|
/* search left */
|
2018-10-12 06:55:24 -04:00
|
|
|
left = igloo_avl_get_prev (node);
|
2001-09-09 22:24:39 -04:00
|
|
|
i = m;
|
2007-09-13 23:09:32 -04:00
|
|
|
while (left && (i > 0) && (tree->compare_fun (tree->compare_arg, key, left->key) == 0)) {
|
2018-10-12 06:55:24 -04:00
|
|
|
left = igloo_avl_get_prev (left);
|
2001-09-09 22:24:39 -04:00
|
|
|
i = i - 1;
|
|
|
|
}
|
|
|
|
/* search right */
|
2018-10-12 06:55:24 -04:00
|
|
|
right = igloo_avl_get_next (node);
|
2001-09-09 22:24:39 -04:00
|
|
|
j = m;
|
2007-09-13 23:09:32 -04:00
|
|
|
while (right && (j <= tree->length) && (tree->compare_fun (tree->compare_arg, key, right->key) == 0)) {
|
2018-10-12 06:55:24 -04:00
|
|
|
right = igloo_avl_get_next (right);
|
2001-09-09 22:24:39 -04:00
|
|
|
j = j + 1;
|
|
|
|
}
|
|
|
|
*low = i;
|
|
|
|
*high = j + 1;
|
|
|
|
return 0;
|
|
|
|
} else {
|
|
|
|
*low = *high = m;
|
|
|
|
}
|
|
|
|
return 0;
|
|
|
|
}
|
|
|
|
|
|
|
|
/* return the (low index, high index) pair that spans the given key */
|
|
|
|
|
|
|
|
int
|
2018-10-12 07:27:17 -04:00
|
|
|
igloo_avl_get_span_by_two_keys (igloo_avl_tree * tree,
|
2003-03-14 21:10:19 -05:00
|
|
|
void * low_key,
|
|
|
|
void * high_key,
|
|
|
|
unsigned long * low,
|
|
|
|
unsigned long * high)
|
2001-09-09 22:24:39 -04:00
|
|
|
{
|
|
|
|
unsigned long i, j;
|
2018-10-12 07:27:17 -04:00
|
|
|
igloo_avl_node * low_node, * high_node;
|
2001-09-09 22:24:39 -04:00
|
|
|
int order;
|
|
|
|
|
|
|
|
/* we may need to swap them */
|
|
|
|
order = tree->compare_fun (tree->compare_arg, low_key, high_key);
|
|
|
|
if (order > 0) {
|
|
|
|
void * temp = low_key;
|
|
|
|
low_key = high_key;
|
|
|
|
high_key = temp;
|
|
|
|
}
|
|
|
|
|
2018-10-12 06:55:24 -04:00
|
|
|
low_node = igloo_avl_get_index_by_key (tree, low_key, &i);
|
|
|
|
high_node = igloo_avl_get_index_by_key (tree, high_key, &j);
|
2001-09-09 22:24:39 -04:00
|
|
|
|
|
|
|
if (low_node) {
|
2018-10-12 07:27:17 -04:00
|
|
|
igloo_avl_node * left;
|
2001-09-09 22:24:39 -04:00
|
|
|
/* search left */
|
2018-10-12 06:55:24 -04:00
|
|
|
left = igloo_avl_get_prev (low_node);
|
2007-09-13 23:09:32 -04:00
|
|
|
while (left && (i > 0) && (tree->compare_fun (tree->compare_arg, low_key, left->key) == 0)) {
|
2018-10-12 06:55:24 -04:00
|
|
|
left = igloo_avl_get_prev (left);
|
2001-09-09 22:24:39 -04:00
|
|
|
i = i - 1;
|
|
|
|
}
|
|
|
|
} else {
|
|
|
|
i = i + 1;
|
|
|
|
}
|
|
|
|
if (high_node) {
|
2018-10-12 07:27:17 -04:00
|
|
|
igloo_avl_node * right;
|
2001-09-09 22:24:39 -04:00
|
|
|
/* search right */
|
2018-10-12 06:55:24 -04:00
|
|
|
right = igloo_avl_get_next (high_node);
|
2007-09-13 23:09:32 -04:00
|
|
|
while (right && (j <= tree->length) && (tree->compare_fun (tree->compare_arg, high_key, right->key) == 0)) {
|
2018-10-12 06:55:24 -04:00
|
|
|
right = igloo_avl_get_next (right);
|
2001-09-09 22:24:39 -04:00
|
|
|
j = j + 1;
|
|
|
|
}
|
|
|
|
} else {
|
|
|
|
j = j + 1;
|
|
|
|
}
|
|
|
|
|
|
|
|
*low = i;
|
|
|
|
*high = j;
|
|
|
|
return 0;
|
|
|
|
}
|
|
|
|
|
2003-03-14 21:10:19 -05:00
|
|
|
|
2001-09-09 22:24:39 -04:00
|
|
|
int
|
2018-10-12 07:27:17 -04:00
|
|
|
igloo_avl_get_item_by_key_most (igloo_avl_tree * tree,
|
2003-03-14 21:10:19 -05:00
|
|
|
void * key,
|
|
|
|
void **value_address)
|
2001-09-09 22:24:39 -04:00
|
|
|
{
|
2018-10-12 07:27:17 -04:00
|
|
|
igloo_avl_node * x = tree->root->right;
|
2001-09-09 22:24:39 -04:00
|
|
|
*value_address = NULL;
|
|
|
|
|
|
|
|
if (!x) {
|
|
|
|
return -1;
|
|
|
|
}
|
|
|
|
while (1) {
|
|
|
|
int compare_result = tree->compare_fun (tree->compare_arg, key, x->key);
|
|
|
|
|
|
|
|
if (compare_result == 0) {
|
|
|
|
*value_address = x->key;
|
|
|
|
return 0;
|
|
|
|
} else if (compare_result < 0) {
|
|
|
|
/* the given key is less than the current key */
|
|
|
|
if (x->left) {
|
2003-03-14 21:10:19 -05:00
|
|
|
x = x->left;
|
2001-09-09 22:24:39 -04:00
|
|
|
} else {
|
2003-03-14 21:10:19 -05:00
|
|
|
if (*value_address)
|
|
|
|
return 0;
|
|
|
|
else
|
|
|
|
return -1;
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
} else {
|
|
|
|
/* the given key is more than the current key */
|
|
|
|
/* save this value, it might end up being the right one! */
|
|
|
|
*value_address = x->key;
|
|
|
|
if (x->right) {
|
2003-03-14 21:10:19 -05:00
|
|
|
/* there is a bigger entry */
|
|
|
|
x = x->right;
|
2001-09-09 22:24:39 -04:00
|
|
|
} else {
|
2003-03-14 21:10:19 -05:00
|
|
|
if (*value_address)
|
|
|
|
return 0;
|
|
|
|
else
|
|
|
|
return -1;
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
int
|
2018-10-12 07:27:17 -04:00
|
|
|
igloo_avl_get_item_by_key_least (igloo_avl_tree * tree,
|
2003-03-14 21:10:19 -05:00
|
|
|
void * key,
|
|
|
|
void **value_address)
|
2001-09-09 22:24:39 -04:00
|
|
|
{
|
2018-10-12 07:27:17 -04:00
|
|
|
igloo_avl_node * x = tree->root->right;
|
2001-09-09 22:24:39 -04:00
|
|
|
*value_address = NULL;
|
|
|
|
|
|
|
|
if (!x) {
|
|
|
|
return -1;
|
|
|
|
}
|
|
|
|
while (1) {
|
|
|
|
int compare_result = tree->compare_fun (tree->compare_arg, key, x->key);
|
|
|
|
if (compare_result == 0) {
|
|
|
|
*value_address = x->key;
|
|
|
|
return 0; /* exact match */
|
|
|
|
} else if (compare_result < 0) {
|
|
|
|
/* the given key is less than the current key */
|
|
|
|
/* save this value, it might end up being the right one! */
|
|
|
|
*value_address = x->key;
|
|
|
|
if (x->left) {
|
2003-03-14 21:10:19 -05:00
|
|
|
x = x->left;
|
2001-09-09 22:24:39 -04:00
|
|
|
} else {
|
2003-03-14 21:10:19 -05:00
|
|
|
if (*value_address) /* we have found a valid entry */
|
|
|
|
return 0;
|
|
|
|
else
|
|
|
|
return -1;
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
} else {
|
|
|
|
if (x->right) {
|
2003-03-14 21:10:19 -05:00
|
|
|
/* there is a bigger entry */
|
|
|
|
x = x->right;
|
2001-09-09 22:24:39 -04:00
|
|
|
} else {
|
2003-03-14 21:10:19 -05:00
|
|
|
if (*value_address) /* we have found a valid entry */
|
|
|
|
return 0;
|
|
|
|
else
|
|
|
|
return -1;
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
2003-07-06 23:37:23 -04:00
|
|
|
#define AVL_MAX(X, Y) ((X) > (Y) ? (X) : (Y))
|
2001-09-09 22:24:39 -04:00
|
|
|
|
2003-07-06 21:10:14 -04:00
|
|
|
static long
|
2018-10-12 07:27:17 -04:00
|
|
|
igloo_avl_verify_balance (igloo_avl_node * node)
|
2001-09-09 22:24:39 -04:00
|
|
|
{
|
|
|
|
if (!node) {
|
|
|
|
return 0;
|
|
|
|
} else {
|
2018-10-12 06:55:24 -04:00
|
|
|
long lh = igloo_avl_verify_balance (node->left);
|
|
|
|
long rh = igloo_avl_verify_balance (node->right);
|
2001-09-09 22:24:39 -04:00
|
|
|
if ((rh - lh) != AVL_GET_BALANCE(node)) {
|
2003-12-04 11:27:30 -05:00
|
|
|
return 0;
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
if (((lh - rh) > 1) || ((lh - rh) < -1)) {
|
2003-12-04 11:27:30 -05:00
|
|
|
return 0;
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
2003-07-06 23:37:23 -04:00
|
|
|
return (1 + AVL_MAX (lh, rh));
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
}
|
|
|
|
|
2003-07-06 21:10:14 -04:00
|
|
|
static void
|
2018-10-12 07:27:17 -04:00
|
|
|
igloo_avl_verify_parent (igloo_avl_node * node, igloo_avl_node * parent)
|
2001-09-09 22:24:39 -04:00
|
|
|
{
|
|
|
|
if (node->parent != parent) {
|
2003-12-04 11:27:30 -05:00
|
|
|
return;
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
if (node->left) {
|
2018-10-12 06:55:24 -04:00
|
|
|
igloo_avl_verify_parent (node->left, node);
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
if (node->right) {
|
2018-10-12 06:55:24 -04:00
|
|
|
igloo_avl_verify_parent (node->right, node);
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
}
|
|
|
|
|
2003-07-06 21:10:14 -04:00
|
|
|
static long
|
2018-10-12 07:27:17 -04:00
|
|
|
igloo_avl_verify_rank (igloo_avl_node * node)
|
2001-09-09 22:24:39 -04:00
|
|
|
{
|
|
|
|
if (!node) {
|
|
|
|
return 0;
|
|
|
|
} else {
|
|
|
|
unsigned long num_left=0, num_right=0;
|
|
|
|
if (node->left) {
|
2018-10-12 06:55:24 -04:00
|
|
|
num_left = igloo_avl_verify_rank (node->left);
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
if (node->right) {
|
2018-10-12 06:55:24 -04:00
|
|
|
num_right = igloo_avl_verify_rank (node->right);
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
if (AVL_GET_RANK (node) != num_left + 1) {
|
2003-07-28 20:30:36 -04:00
|
|
|
fprintf (stderr, "invalid rank at node %ld\n", (long) node->key);
|
2001-09-09 22:24:39 -04:00
|
|
|
exit (1);
|
|
|
|
}
|
|
|
|
return (num_left + num_right + 1);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
/* sanity-check the tree */
|
|
|
|
|
|
|
|
int
|
2018-10-12 07:27:17 -04:00
|
|
|
igloo_avl_verify (igloo_avl_tree * tree)
|
2001-09-09 22:24:39 -04:00
|
|
|
{
|
|
|
|
if (tree->length) {
|
2018-10-12 06:55:24 -04:00
|
|
|
igloo_avl_verify_balance (tree->root->right);
|
|
|
|
igloo_avl_verify_parent (tree->root->right, tree->root);
|
|
|
|
igloo_avl_verify_rank (tree->root->right);
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
return (0);
|
|
|
|
}
|
|
|
|
|
|
|
|
/*
|
|
|
|
* These structures are accumulated on the stack during print_tree
|
|
|
|
* and are used to keep track of the width and direction of each
|
|
|
|
* branch in the history of a particular line <node>.
|
|
|
|
*/
|
|
|
|
|
|
|
|
typedef struct _link_node {
|
2003-03-14 21:10:19 -05:00
|
|
|
struct _link_node * parent;
|
|
|
|
char direction;
|
|
|
|
int width;
|
2001-09-09 22:24:39 -04:00
|
|
|
} link_node;
|
|
|
|
|
2018-10-12 06:55:24 -04:00
|
|
|
static char igloo_balance_chars[3] = {'\\', '-', '/'};
|
2001-09-09 22:24:39 -04:00
|
|
|
|
2003-07-06 21:10:14 -04:00
|
|
|
static int
|
2018-10-12 06:55:24 -04:00
|
|
|
igloo_default_key_printer (char * buffer, void * key)
|
2001-09-09 22:24:39 -04:00
|
|
|
{
|
2013-01-16 07:02:14 -05:00
|
|
|
return snprintf (buffer, AVL_KEY_PRINTER_BUFLEN, "%p", key);
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
|
|
|
|
/*
|
|
|
|
* When traveling the family tree, a change in direction
|
|
|
|
* indicates when to print a connector. This is kinda crazy,
|
|
|
|
* we use the stack to build a linked list, and then travel
|
|
|
|
* it backwards using recursion.
|
|
|
|
*/
|
|
|
|
|
2003-07-06 21:40:08 -04:00
|
|
|
static void
|
2018-10-12 06:55:24 -04:00
|
|
|
igloo_print_connectors (link_node * link)
|
2001-09-09 22:24:39 -04:00
|
|
|
{
|
|
|
|
if (link->parent) {
|
2018-10-12 06:55:24 -04:00
|
|
|
igloo_print_connectors (link->parent);
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
if (link->parent && (link->parent->direction != link->direction) && (link->parent->parent)) {
|
|
|
|
int i;
|
|
|
|
fprintf (stdout, "|");
|
|
|
|
for (i=0; i < (link->width - 1); i++) {
|
|
|
|
fprintf (stdout, " ");
|
|
|
|
}
|
|
|
|
} else {
|
|
|
|
int i;
|
|
|
|
for (i=0; i < (link->width); i++) {
|
|
|
|
fprintf (stdout, " ");
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
/*
|
|
|
|
* The <key_printer> function writes a representation of the
|
|
|
|
* key into <buffer> (which is conveniently fixed in size to add
|
|
|
|
* the spice of danger). It should return the size of the
|
|
|
|
* representation.
|
|
|
|
*/
|
|
|
|
|
2003-07-06 21:40:08 -04:00
|
|
|
static void
|
2018-10-12 07:27:17 -04:00
|
|
|
igloo_print_node (igloo_avl_key_printer_fun_type key_printer,
|
|
|
|
igloo_avl_node * node,
|
2003-03-14 21:10:19 -05:00
|
|
|
link_node * link)
|
2001-09-09 22:24:39 -04:00
|
|
|
{
|
2013-01-16 07:02:14 -05:00
|
|
|
char buffer[AVL_KEY_PRINTER_BUFLEN];
|
2001-09-09 22:24:39 -04:00
|
|
|
unsigned int width;
|
|
|
|
width = key_printer (buffer, node->key);
|
|
|
|
|
|
|
|
if (node->right) {
|
2003-03-14 21:10:19 -05:00
|
|
|
link_node here;
|
|
|
|
here.parent = link;
|
|
|
|
here.direction = 1;
|
|
|
|
here.width = width + 11;
|
2018-10-12 06:55:24 -04:00
|
|
|
igloo_print_node (key_printer, node->right, &here);
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
2018-10-12 06:55:24 -04:00
|
|
|
igloo_print_connectors (link);
|
2001-09-09 22:24:39 -04:00
|
|
|
fprintf (stdout, "+-[%c %s %03d]",
|
2018-10-12 06:55:24 -04:00
|
|
|
igloo_balance_chars[AVL_GET_BALANCE(node)+1],
|
2003-03-14 21:10:19 -05:00
|
|
|
buffer,
|
|
|
|
(int)AVL_GET_RANK(node));
|
2001-09-09 22:24:39 -04:00
|
|
|
if (node->left || node->right) {
|
|
|
|
fprintf (stdout, "-|\n");
|
|
|
|
} else {
|
|
|
|
fprintf (stdout, "\n");
|
|
|
|
}
|
|
|
|
if (node->left) {
|
2003-03-14 21:10:19 -05:00
|
|
|
link_node here;
|
|
|
|
here.parent = link;
|
|
|
|
here.direction = -1;
|
|
|
|
here.width = width + 11;
|
2018-10-12 06:55:24 -04:00
|
|
|
igloo_print_node (key_printer, node->left, &here);
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
void
|
2018-10-12 07:27:17 -04:00
|
|
|
igloo_avl_print_tree (igloo_avl_tree * tree, igloo_avl_key_printer_fun_type key_printer)
|
2001-09-09 22:24:39 -04:00
|
|
|
{
|
|
|
|
link_node top = {NULL, 0, 0};
|
|
|
|
if (!key_printer) {
|
2018-10-12 06:55:24 -04:00
|
|
|
key_printer = igloo_default_key_printer;
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
if (tree->length) {
|
2018-10-12 06:55:24 -04:00
|
|
|
igloo_print_node (key_printer, tree->root->right, &top);
|
2001-09-09 22:24:39 -04:00
|
|
|
} else {
|
|
|
|
fprintf (stdout, "<empty tree>\n");
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
2018-10-12 07:27:17 -04:00
|
|
|
void igloo_avl_tree_rlock(igloo_avl_tree *tree)
|
2001-09-09 22:24:39 -04:00
|
|
|
{
|
2003-03-14 21:10:19 -05:00
|
|
|
thread_rwlock_rlock(&tree->rwlock);
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
|
2018-10-12 07:27:17 -04:00
|
|
|
void igloo_avl_tree_wlock(igloo_avl_tree *tree)
|
2001-09-09 22:24:39 -04:00
|
|
|
{
|
2003-03-14 21:10:19 -05:00
|
|
|
thread_rwlock_wlock(&tree->rwlock);
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
|
2018-10-12 07:27:17 -04:00
|
|
|
void igloo_avl_tree_unlock(igloo_avl_tree *tree)
|
2001-09-09 22:24:39 -04:00
|
|
|
{
|
2003-03-14 21:10:19 -05:00
|
|
|
thread_rwlock_unlock(&tree->rwlock);
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
|
2008-07-18 21:30:16 -04:00
|
|
|
#ifdef HAVE_AVL_NODE_LOCK
|
2018-10-12 07:27:17 -04:00
|
|
|
void avl_node_rlock(igloo_avl_node *node)
|
2001-09-09 22:24:39 -04:00
|
|
|
{
|
2003-03-14 21:10:19 -05:00
|
|
|
thread_rwlock_rlock(&node->rwlock);
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
|
2018-10-12 07:27:17 -04:00
|
|
|
void avl_node_wlock(igloo_avl_node *node)
|
2001-09-09 22:24:39 -04:00
|
|
|
{
|
2003-03-14 21:10:19 -05:00
|
|
|
thread_rwlock_wlock(&node->rwlock);
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
|
|
|
|
2018-10-12 07:27:17 -04:00
|
|
|
void avl_node_unlock(igloo_avl_node *node)
|
2001-09-09 22:24:39 -04:00
|
|
|
{
|
2003-03-14 21:10:19 -05:00
|
|
|
thread_rwlock_unlock(&node->rwlock);
|
2001-09-09 22:24:39 -04:00
|
|
|
}
|
2008-07-18 21:30:16 -04:00
|
|
|
#endif
|