/*
* rb_tree.c
*
* Implementation of red-black binary search tree.
* Copyright (C) 2001 Farooq Mela.
*
* $Id: rb_tree.c,v 1.16 2001/12/13 09:09:29 farooq Exp $
*
* cf. [Cormen, Leiserson, and Rivest 1990], [Guibas and Sedgewick, 1978]
*/
#include <stdlib.h>
#include "rb_tree.h"
#include "dict_private.h"
typedef struct rb_node rb_node;
struct rb_node {
void *key;
void *dat;
rb_node *parent;
rb_node *llink;
rb_node *rlink;
unsigned color:1;
};
#define RB_RED 0
#define RB_BLK 1
struct rb_tree {
rb_node *root;
unsigned count;
dict_cmp_func key_cmp;
dict_del_func key_del;
dict_del_func dat_del;
};
struct rb_itor {
rb_tree *tree;
rb_node *node;
};
static rb_node _null = { NULL, NULL, NULL, NULL, NULL, RB_BLK };
#define RB_NULL &_null
static void rot_left __P((rb_tree *tree, rb_node *node));
static void rot_right __P((rb_tree *tree, rb_node *node));
static void insert_fixup __P((rb_tree *tree, rb_node *node));
static void delete_fixup __P((rb_tree *tree, rb_node *node));
static unsigned node_height __P((const rb_node *node));
static unsigned node_mheight __P((const rb_node *node));
static unsigned node_pathlen __P((const rb_node *node, unsigned level));
static rb_node *node_new __P((void *key, void *dat));
static rb_node *node_next __P((rb_node *node));
static rb_node *node_prev __P((rb_node *node));
static rb_node *node_max __P((rb_node *node));
static rb_node *node_min __P((rb_node *node));
rb_tree *
rb_tree_new(dict_cmp_func key_cmp, dict_del_func key_del,
dict_del_func dat_del)
{
rb_tree *tree;
if ((tree = MALLOC(sizeof(*tree))) == NULL)
return NULL;
tree->root = RB_NULL;
tree->count = 0;
tree->key_cmp = key_cmp ? key_cmp : dict_ptr_cmp;
tree->key_del = key_del;
tree->dat_del = dat_del;
return tree;
}
dict *
rb_dict_new(dict_cmp_func key_cmp, dict_del_func key_del,
dict_del_func dat_del)
{
dict *dct;
rb_tree *tree;
if ((dct = MALLOC(sizeof(*dct))) == NULL)
return NULL;
if ((tree = rb_tree_new(key_cmp, key_del, dat_del)) == NULL) {
FREE(dct);
return NULL;
}
dct->_object = tree;
dct->_inew = (inew_func)rb_dict_itor_new;
dct->_destroy = (destroy_func)rb_tree_destroy;
dct->_insert = (insert_func)rb_tree_insert;
dct->_probe = (probe_func)rb_tree_probe;
dct->_search = (search_func)rb_tree_search;
dct->_csearch = (csearch_func)rb_tree_csearch;
dct->_remove = (remove_func)rb_tree_remove;
dct->_empty = (empty_func)rb_tree_empty;
dct->_walk = (walk_func)rb_tree_walk;
dct->_count = (count_func)rb_tree_count;
return dct;
}
void
rb_tree_destroy(rb_tree *tree, int del)
{
ASSERT(tree != NULL);
if (tree->root != RB_NULL)
rb_tree_empty(tree, del);
FREE(tree);
}
void *
rb_tree_search(rb_tree *tree, const void *key)
{
int rv;
rb_node *node;
ASSERT(tree != NULL);
node = tree->root;
while (node != RB_NULL) {
rv = tree->key_cmp(key, node->key);
if (rv < 0)
node = node->llink;
else if (rv > 0)
node = node->rlink;
else
return node->dat;
}
return NULL;
}
const void *
rb_tree_csearch(const rb_tree *tree, const void *key)
{
ASSERT(tree != NULL);
return rb_tree_search((rb_tree *)tree, key);
}
int
rb_tree_insert(rb_tree *tree, void *key, void *dat, int overwrite)
{
int rv = 0;
rb_node *node, *parent = RB_NULL;
ASSERT(tree != NULL);
node = tree->root;
while (node != RB_NULL) {
rv = tree->key_cmp(key, node->key);
if (rv < 0)
parent = node, node = node->llink;
else if (rv > 0)
parent = node, node = node->rlink;
else {
if (overwrite == 0)
return 1;
if (tree->key_del)
tree->key_del(node->key);
if (tree->dat_del)
tree->dat_del(node->dat);
node->key = key;
node->dat = dat;
return 0;
}
}
if ((node = node_new(key, dat)) == NULL)
return -1;
if ((node->parent = parent) == RB_NULL) {
tree->root = node;
ASSERT(tree->count == 0);
tree->count = 1;
node->color = RB_BLK;
return 0;
}
if (rv < 0)
parent->llink = node;
else
parent->rlink = node;
insert_fixup(tree, node);
tree->count++;
return 0;
}
int
rb_tree_probe(rb_tree *tree, void *key, void **dat)
{
int rv = 0;
rb_node *node, *parent = RB_NULL;
ASSERT(tree != NULL);
node = tree->root;
while (node != RB_NULL) {
rv = tree->key_cmp(key, node->key);
if (rv < 0)
parent = node, node = node->llink;
else if (rv > 0)
parent = node, node = node->rlink;
else {
*dat = node->dat;
return 0;
}
}
if ((node = node_new(key, *dat)) == NULL)
return -1;
if ((node->parent = parent) == RB_NULL) {
tree->root = node;
ASSERT(tree->count == 0);
tree->count = 1;
node->color = RB_BLK;
return 1;
}
if (rv < 0)
parent->llink = node;
else
parent->rlink = node;
insert_fixup(tree, node);
tree->count++;
return 1;
}
static void
insert_fixup(rb_tree *tree, rb_node *node)
{
rb_node *temp;
ASSERT(tree != NULL);
ASSERT(node != NULL);
while (node != tree->root && node->parent->color == RB_RED) {
if (node->parent == node->parent->parent->llink) {
temp = node->parent->parent->rlink;
if (temp->color == RB_RED) {
temp->color = RB_BLK;
node = node->parent;
node->color = RB_BLK;
node = node->parent;
node->color = RB_RED;
} else {
if (node == node->parent->rlink) {
node = node->parent;
rot_left(tree, node);
}
temp = node->parent;
temp->color = RB_BLK;
temp = temp->parent;
temp->color = RB_RED;
rot_right(tree, temp);
}
} else {
temp = node->parent->parent->llink;
if (temp->color == RB_RED) {
temp->color = RB_BLK;
node = node->parent;
node->color = RB_BLK;
node = node->parent;
node->color = RB_RED;
} else {
if (node == node->parent->llink) {
node = node->parent;
rot_right(tree, node);
}
temp = node->parent;
temp->color = RB_BLK;
temp = temp->parent;
temp->color = RB_RED;
rot_left(tree, temp);
}
}
}
tree->root->color = RB_BLK;
}
int
rb_tree_remove(rb_tree *tree, const void *key, int del)
{
int rv;
rb_node *node, *temp, *out, *parent;
void *tmp;
ASSERT(tree != NULL);
node = tree->root;
while (node != RB_NULL) {
rv = tree->key_cmp(key, node->key);
if (rv < 0)
node = node->llink;
else if (rv > 0)
node = node->rlink;
else
break;
}
if (node == RB_NULL)
return -1;
if (node->llink == RB_NULL || node->rlink == RB_NULL) {
out = node;
} else {
for (out = node->rlink; out->llink != RB_NULL; out = out->llink)
/* void */;
SWAP(node->key, out->key, tmp);
SWAP(node->dat, out->dat, tmp);
}
temp = out->llink != RB_NULL ? out->llink : out->rlink;
parent = out->parent;
temp->parent = parent;
if (parent != RB_NULL) {
if (parent->llink == out)
parent->llink = temp;
else
parent->rlink = temp;
} else {
tree->root = temp;
}
if (out->color == RB_BLK)
delete_fixup(tree, temp);
if (del) {
if (tree->key_del)
tree->key_del(out->key);
if (tree->dat_del)
tree->dat_del(out->dat);
}
FREE(out);
tree->count--;
return 0;
}
static void
delete_fixup(rb_tree *tree, rb_node *node)
{
rb_node *temp;
ASSERT(tree != NULL);
ASSERT(node != NULL);
while (node != tree->root && node->color == RB_BLK) {
if (node->parent->llink == node) {
temp = node->parent->rlink;
if (temp->color == RB_RED) {
temp->color = RB_BLK;
node->parent->color = RB_RED;
rot_left(tree, node->parent);
temp = node->parent->rlink;
}
if (temp->llink->color == RB_BLK && temp->rlink->color == RB_BLK) {
temp->color = RB_RED;
node = node->parent;
} else {
if (temp->rlink->color == RB_BLK) {
temp->llink->color = RB_BLK;
temp->color = RB_RED;
rot_right(tree, temp);
temp = node->parent->rlink;
}
temp->color = node->parent->color;
temp->rlink->color = RB_BLK;
node->parent->color = RB_BLK;
rot_left(tree, node->parent);
break;
}
} else {
temp = node->parent->llink;
if (temp->color == RB_RED) {
temp->color = RB_BLK;
node->parent->color = RB_RED;
rot_right(tree, node->parent);
temp = node->parent->llink;
}
if (temp->rlink->color == RB_BLK && temp->llink->color == RB_BLK) {
temp->color = RB_RED;
node = node->parent;
} else {
if (temp->llink->color == RB_BLK) {
temp->rlink->color = RB_BLK;
temp->color = RB_RED;
rot_left(tree, temp);
temp = node->parent->llink;
}
temp->color = node->parent->color;
node->parent->color = RB_BLK;
temp->llink->color = RB_BLK;
rot_right(tree, node->parent);
break;
}
}
}
node->color = RB_BLK;
}
void
rb_tree_empty(rb_tree *tree, int del)
{
rb_node *node, *parent;
ASSERT(tree != NULL);
node = tree->root;
while (node != RB_NULL) {
parent = node->parent;
if (node->llink != RB_NULL) {
node = node->llink;
continue;
}
if (node->rlink != RB_NULL) {
node = node->rlink;
continue;
}
if (del) {
if (tree->key_del)
tree->key_del(node->key);
if (tree->dat_del)
tree->dat_del(node->dat);
}
FREE(node);
if (parent != RB_NULL) {
if (parent->llink == node)
parent->llink = RB_NULL;
else
parent->rlink = RB_NULL;
}
node = parent;
}
tree->root = RB_NULL;
tree->count = 0;
}
unsigned
rb_tree_count(const rb_tree *tree)
{
ASSERT(tree != NULL);
return tree->count;
}
unsigned
rb_tree_height(const rb_tree *tree)
{
ASSERT(tree != NULL);
return tree->root != RB_NULL ? node_height(tree->root) : 0;
}
unsigned
rb_tree_mheight(const rb_tree *tree)
{
ASSERT(tree != NULL);
return tree->root != RB_NULL ? node_mheight(tree->root) : 0;
}
unsigned
rb_tree_pathlen(const rb_tree *tree)
{
ASSERT(tree != NULL);
return tree->root != RB_NULL ? node_pathlen(tree->root, 1) : 0;
}
const void *
rb_tree_min(const rb_tree *tree)
{
const rb_node *node;
ASSERT(tree != NULL);
if (tree->root == RB_NULL)
return NULL;
for (node = tree->root; node->llink != RB_NULL; node = node->llink)
/* void */;
return node->key;
}
const void *
rb_tree_max(const rb_tree *tree)
{
const rb_node *node;
ASSERT(tree != NULL);
if (tree->root == RB_NULL)
return NULL;
for (node = tree->root; node->rlink != RB_NULL; node = node->rlink)
/* void */;
return node->key;
}
void
rb_tree_walk(rb_tree *tree, dict_vis_func visit)
{
rb_node *node;
ASSERT(tree != NULL);
ASSERT(visit != NULL);
if (tree->root == RB_NULL)
return;
for (node = node_min(tree->root); node != RB_NULL; node = node_next(node))
if (visit(node->key, node->dat) == 0)
break;
}
static unsigned
node_height(const rb_node *node)
{
unsigned l, r;
l = node->llink != RB_NULL ? node_height(node->llink) + 1 : 0;
r = node->rlink != RB_NULL ? node_height(node->rlink) + 1 : 0;
return MAX(l, r);
}
static unsigned
node_mheight(node)
const rb_node *node;
{
unsigned l, r;
l = node->llink != RB_NULL ? node_mheight(node->llink) + 1 : 0;
r = node->rlink != RB_NULL ? node_mheight(node->rlink) + 1 : 0;
return MIN(l, r);
}
static unsigned
node_pathlen(const rb_node *node, unsigned level)
{
unsigned n = 0;
ASSERT(node != RB_NULL);
if (node->llink != RB_NULL)
n += level + node_pathlen(node->llink, level + 1);
if (node->rlink != RB_NULL)
n += level + node_pathlen(node->rlink, level + 1);
return n;
}
static void
rot_left(rb_tree *tree, rb_node *node)
{
rb_node *rlink, *parent;
ASSERT(tree != NULL);
ASSERT(node != NULL);
rlink = node->rlink;
node->rlink = rlink->llink;
if (rlink->llink != RB_NULL)
rlink->llink->parent = node;
parent = node->parent;
rlink->parent = parent;
if (parent != RB_NULL) {
if (parent->llink == node)
parent->llink = rlink;
else
parent->rlink = rlink;
} else {
tree->root = rlink;
}
rlink->llink = node;
node->parent = rlink;
}
static void
rot_right(rb_tree *tree, rb_node *node)
{
rb_node *llink, *parent;
ASSERT(tree != NULL);
ASSERT(node != NULL);
llink = node->llink;
node->llink = llink->rlink;
if (llink->rlink != RB_NULL)
llink->rlink->parent = node;
parent = node->parent;
llink->parent = parent;
if (parent != RB_NULL) {
if (parent->llink == node)
parent->llink = llink;
else
parent->rlink = llink;
} else {
tree->root = llink;
}
llink->rlink = node;
node->parent = llink;
}
static rb_node *
node_new(void *key, void *dat)
{
rb_node *node;
if ((node = MALLOC(sizeof(*node))) == NULL)
return NULL;
node->key = key;
node->dat = dat;
node->color = RB_RED;
node->llink = RB_NULL;
node->rlink = RB_NULL;
return node;
}
static rb_node *
node_next(rb_node *node)
{
rb_node *temp;
ASSERT(node != NULL);
if (node->rlink != RB_NULL) {
for (node = node->rlink; node->llink != RB_NULL; node = node->llink)
/* void */;
} else {
temp = node->parent;
while (temp != RB_NULL && temp->rlink == node) {
node = temp;
temp = temp->parent;
}
node = temp;
}
return node;
}
static rb_node *
node_prev(rb_node *node)
{
rb_node *temp;
ASSERT(node != NULL);
if (node->llink != RB_NULL) {
for (node = node->llink; node->rlink != RB_NULL; node = node->rlink)
/* void */;
} else {
temp = node->parent;
while (temp != RB_NULL && temp->llink == node) {
node = temp;
temp = temp->parent;
}
node = temp;
}
return node;
}
static rb_node *
node_max(rb_node *node)
{
ASSERT(node != NULL);
while (node->rlink != RB_NULL)
node = node->rlink;
return node;
}
static rb_node *
node_min(rb_node *node)
{
ASSERT(node != NULL);
while (node->llink != RB_NULL)
node = node->llink;
return node;
}
rb_itor *
rb_itor_new(rb_tree *tree)
{
rb_itor *itor;
ASSERT(tree != NULL);
if ((itor = MALLOC(sizeof(*itor))) == NULL)
return NULL;
itor->tree = tree;
rb_itor_first(itor);
return itor;
}
dict_itor *
rb_dict_itor_new(rb_tree *tree)
{
dict_itor *itor;
ASSERT(tree != NULL);
if ((itor = MALLOC(sizeof(*itor))) == NULL)
return NULL;
if ((itor->_itor = rb_itor_new(tree)) == NULL) {
FREE(itor);
return NULL;
}
itor->_destroy = (idestroy_func)rb_itor_destroy;
itor->_valid = (valid_func)rb_itor_valid;
itor->_invalid = (invalidate_func)rb_itor_invalidate;
itor->_next = (next_func)rb_itor_next;
itor->_prev = (prev_func)rb_itor_prev;
itor->_nextn = (nextn_func)rb_itor_nextn;
itor->_prevn = (prevn_func)rb_itor_prevn;
itor->_first = (first_func)rb_itor_first;
itor->_last = (last_func)rb_itor_last;
itor->_search = (isearch_func)rb_itor_search;
itor->_key = (key_func)rb_itor_key;
itor->_data = (data_func)rb_itor_data;
itor->_cdata = (cdata_func)rb_itor_cdata;
itor->_setdata = (dataset_func)rb_itor_set_data;
return itor;
}
void
rb_itor_destroy(rb_itor *itor)
{
ASSERT(itor != NULL);
FREE(itor);
}
#define RETVALID(itor) return itor->node != RB_NULL
int
rb_itor_valid(const rb_itor *itor)
{
ASSERT(itor != NULL);
RETVALID(itor);
}
void
rb_itor_invalidate(rb_itor *itor)
{
ASSERT(itor != NULL);
itor->node = RB_NULL;
}
int
rb_itor_next(rb_itor *itor)
{
ASSERT(itor != NULL);
if (itor->node == RB_NULL)
rb_itor_first(itor);
else
itor->node = node_next(itor->node);
RETVALID(itor);
}
int
rb_itor_prev(rb_itor *itor)
{
ASSERT(itor != NULL);
if (itor->node == RB_NULL)
rb_itor_last(itor);
else
itor->node = node_prev(itor->node);
RETVALID(itor);
}
int
rb_itor_nextn(rb_itor *itor, unsigned count)
{
ASSERT(itor != NULL);
if (count) {
if (itor->node == RB_NULL) {
rb_itor_first(itor);
count--;
}
while (count-- && itor->node)
itor->node = node_next(itor->node);
}
RETVALID(itor);
}
int
rb_itor_prevn(rb_itor *itor, unsigned count)
{
ASSERT(itor != NULL);
if (count) {
if (itor->node == RB_NULL) {
rb_itor_last(itor);
count--;
}
while (count-- && itor->node)
itor->node = node_prev(itor->node);
}
RETVALID(itor);
}
int
rb_itor_first(rb_itor *itor)
{
ASSERT(itor != NULL);
if (itor->tree->root == RB_NULL)
itor->node = RB_NULL;
else
itor->node = node_min(itor->tree->root);
RETVALID(itor);
}
int
rb_itor_last(rb_itor *itor)
{
ASSERT(itor != NULL);
if (itor->tree->root == RB_NULL)
itor->node = RB_NULL;
else
itor->node = node_max(itor->tree->root);
RETVALID(itor);
}
int
rb_itor_search(rb_itor *itor, const void *key)
{
int rv;
rb_node *node;
dict_cmp_func cmp;
ASSERT(itor != NULL);
cmp = itor->tree->key_cmp;
for (node = itor->tree->root; node != RB_NULL;) {
rv = cmp(key, node->key);
if (rv < 0)
node = node->llink;
else if (rv > 0)
node = node->rlink;
else
break;
}
itor->node = node;
RETVALID(itor);
}
const void *
rb_itor_key(const rb_itor *itor)
{
ASSERT(itor != NULL);
return itor->node != RB_NULL ? itor->node->key : NULL;
}
void *
rb_itor_data(rb_itor *itor)
{
ASSERT(itor != NULL);
return itor->node != RB_NULL ? itor->node->dat : NULL;
}
const void *
rb_itor_cdata(const rb_itor *itor)
{
ASSERT(itor != NULL);
return itor->node != RB_NULL ? itor->node->dat : NULL;
}
int
rb_itor_set_data(rb_itor *itor, void *dat, int del)
{
ASSERT(itor != NULL);
if (itor->node == NULL)
return -1;
if (del && itor->tree->dat_del)
itor->tree->dat_del(itor->node->dat);
itor->node->dat = dat;
return 0;
}
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