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/*
* avltree - Implements an AVL tree with parent pointers.
* $Id: avl.c 1407 2017-03-30 15:10:21Z soci $
*
* Copyright (C) 2010 Franck Bui-Huu <fbuihuu@gmail.com>
*
* This library is free software; you can redistribute it and/or
* modify it under the terms of the GNU Lesser General Public License
* as published by the Free Software Foundation; version 2 of the
* License.
*
* This library is distributed in the hope that it will be useful, but
* WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public
* License along with this library; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
* 02110-1301 USA.
*/
#include "avl.h"
#include "attributes.h"
#include "stdbool.h"
static avltree_cmp_fn_t cmp_fn;
/*
* Iterators
*/
static inline struct avltree_node *get_first(struct avltree_node *node)
{
while (node->left != NULL)
node = node->left;
return node;
}
static inline struct avltree_node *get_last(struct avltree_node *node)
{
while (node->right != NULL)
node = node->right;
return node;
}
struct avltree_node *avltree_first(const struct avltree *tree)
{
return tree->first;
}
struct avltree_node *avltree_next(const struct avltree_node *node)
{
struct avltree_node *parent;
if (node->right != NULL)
return get_first(node->right);
while ((parent = node->parent) != NULL && parent->right == node)
node = parent;
return parent;
}
struct avltree_node *avltree_prev(const struct avltree_node *node)
{
struct avltree_node *parent;
if (node->left != NULL)
return get_last(node->left);
while ((parent = node->parent) != NULL && parent->left == node)
node = parent;
return parent;
}
/*
* The AVL tree is more rigidly balanced than Red-Black trees, leading
* to slower insertion and removal but faster retrieval.
*/
/* node->balance = height(node->right) - height(node->left); */
static void rotate_left(struct avltree_node *node, struct avltree *tree)
{
struct avltree_node *p = node;
struct avltree_node *q = node->right; /* can't be NULL */
struct avltree_node *parent = p->parent;
if (parent != NULL) {
if (parent->left == p)
parent->left = q;
else
parent->right = q;
} else
tree->root = q;
q->parent = parent;
p->parent = q;
p->right = q->left;
if (p->right != NULL)
p->right->parent = p;
q->left = p;
}
static void rotate_right(struct avltree_node *node, struct avltree *tree)
{
struct avltree_node *p = node;
struct avltree_node *q = node->left; /* can't be NULL */
struct avltree_node *parent = p->parent;
if (parent != NULL) {
if (parent->left == p)
parent->left = q;
else
parent->right = q;
} else
tree->root = q;
q->parent = parent;
p->parent = q;
p->left = q->right;
if (p->left != NULL)
p->left->parent = p;
q->right = p;
}
/*
* 'pparent', 'unbalanced' and 'is_left' are only used for
* insertions. Normally GCC will notice this and get rid of them for
* lookups.
*/
static inline struct avltree_node *do_lookup(const struct avltree_node *key,
const struct avltree *tree,
struct avltree_node **pparent,
struct avltree_node **unbalanced,
bool *is_left)
{
struct avltree_node *node = tree->root;
int res = 0;
*pparent = NULL;
*unbalanced = node;
*is_left = false;
while (node != NULL) {
if (node->balance != 0)
*unbalanced = node;
res = cmp_fn(node, key);
if (res == 0)
return node;
*pparent = node;
if ((*is_left = (res > 0)))
node = node->left;
else
node = node->right;
}
return NULL;
}
struct avltree_node *avltree_lookup(const struct avltree_node *key,
const struct avltree *tree, avltree_cmp_fn_t cmp)
{
struct avltree_node *parent, *unbalanced;
bool is_left;
cmp_fn = cmp;
return do_lookup(key, tree, &parent, &unbalanced, &is_left);
}
static inline void set_child(struct avltree_node *child,
struct avltree_node *node, bool left)
{
if (left)
node->left = child;
else
node->right = child;
}
/* Insertion never needs more than 2 rotations */
struct avltree_node *avltree_insert(struct avltree_node *node, struct avltree *tree, avltree_cmp_fn_t cmp)
{
struct avltree_node *key, *parent, *unbalanced;
bool is_left;
cmp_fn = cmp;
key = do_lookup(node, tree, &parent, &unbalanced, &is_left);
if (key != NULL)
return key;
node->left = NULL;
node->right = NULL;
node->parent = NULL;
node->balance = 0;
if (parent == NULL) {
tree->root = node;
tree->first = tree->last = node;
tree->height++;
return NULL;
}
if (is_left) {
if (parent == tree->first)
tree->first = node;
} else {
if (parent == tree->last)
tree->last = node;
}
node->parent = parent;
set_child(node, parent, is_left);
for (;;) {
if (parent->left == node)
parent->balance--;
else
parent->balance++;
if (parent == unbalanced)
break;
node = parent;
parent = parent->parent;
}
switch (unbalanced->balance) {
case 1: case -1:
tree->height++;
break;
case 0:
break;
case 2: {
struct avltree_node *right = unbalanced->right;
if (right->balance == 1) {
unbalanced->balance = 0;
right->balance = 0;
} else {
switch (right->left->balance) {
case 1:
unbalanced->balance = -1;
right->balance = 0;
break;
case 0:
unbalanced->balance = 0;
right->balance = 0;
break;
case -1:
unbalanced->balance = 0;
right->balance = 1;
break;
}
right->left->balance = 0;
rotate_right(right, tree);
}
rotate_left(unbalanced, tree);
break;
}
case -2: {
struct avltree_node *left = unbalanced->left;
if (left->balance == -1) {
unbalanced->balance = 0;
left->balance = 0;
} else {
switch (left->right->balance) {
case 1:
unbalanced->balance = 0;
left->balance = -1;
break;
case 0:
unbalanced->balance = 0;
left->balance = 0;
break;
case -1:
unbalanced->balance = 1;
left->balance = 0;
break;
}
left->right->balance = 0;
rotate_left(left, tree);
}
rotate_right(unbalanced, tree);
break;
}
}
return NULL;
}
void avltree_init(struct avltree *tree)
{
tree->root = NULL;
tree->height = -1;
tree->first = NULL;
tree->last = NULL;
}
static void destroy(struct avltree *tree, struct avltree_node *node, avltree_free_fn_t free_fn)
{
struct avltree_node *tmp;
while (node != NULL) {
destroy(tree, node->left, free_fn);
tmp = node;
node = node->right;
free_fn(tmp);
}
}
void avltree_destroy(struct avltree *tree, avltree_free_fn_t free_fn)
{
destroy(tree, tree->root, free_fn);
}