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// SPDX-License-Identifier: ISC AND BSD-2-Clause
/* RB-tree */
/*
* Copyright 2002 Niels Provos <provos@citi.umich.edu>
*/
/*
* Copyright (c) 2016 David Gwynne <dlg@openbsd.org>
*/
#ifdef HAVE_CONFIG_H
#include "config.h"
#endif
#include <string.h>
#include "lib/typesafe.h"
#define RB_BLACK 0
#define RB_RED 1
#define rb_entry typed_rb_entry
#define rbt_tree typed_rb_root
#define RBE_LEFT(_rbe) (_rbe)->rbt_left
#define RBE_RIGHT(_rbe) (_rbe)->rbt_right
#define RBE_PARENT(_rbe) (_rbe)->rbt_parent
#define RBE_COLOR(_rbe) (_rbe)->rbt_color
#define RBH_ROOT(_rbt) (_rbt)->rbt_root
static inline void rbe_set(struct rb_entry *rbe, struct rb_entry *parent)
{
RBE_PARENT(rbe) = parent;
RBE_LEFT(rbe) = RBE_RIGHT(rbe) = NULL;
RBE_COLOR(rbe) = RB_RED;
}
static inline void rbe_set_blackred(struct rb_entry *black,
struct rb_entry *red)
{
RBE_COLOR(black) = RB_BLACK;
RBE_COLOR(red) = RB_RED;
}
static inline void rbe_rotate_left(struct rbt_tree *rbt, struct rb_entry *rbe)
{
struct rb_entry *parent;
struct rb_entry *tmp;
tmp = RBE_RIGHT(rbe);
RBE_RIGHT(rbe) = RBE_LEFT(tmp);
if (RBE_RIGHT(rbe) != NULL)
RBE_PARENT(RBE_LEFT(tmp)) = rbe;
parent = RBE_PARENT(rbe);
RBE_PARENT(tmp) = parent;
if (parent != NULL) {
if (rbe == RBE_LEFT(parent))
RBE_LEFT(parent) = tmp;
else
RBE_RIGHT(parent) = tmp;
} else
RBH_ROOT(rbt) = tmp;
RBE_LEFT(tmp) = rbe;
RBE_PARENT(rbe) = tmp;
}
static inline void rbe_rotate_right(struct rbt_tree *rbt, struct rb_entry *rbe)
{
struct rb_entry *parent;
struct rb_entry *tmp;
tmp = RBE_LEFT(rbe);
RBE_LEFT(rbe) = RBE_RIGHT(tmp);
if (RBE_LEFT(rbe) != NULL)
RBE_PARENT(RBE_RIGHT(tmp)) = rbe;
parent = RBE_PARENT(rbe);
RBE_PARENT(tmp) = parent;
if (parent != NULL) {
if (rbe == RBE_LEFT(parent))
RBE_LEFT(parent) = tmp;
else
RBE_RIGHT(parent) = tmp;
} else
RBH_ROOT(rbt) = tmp;
RBE_RIGHT(tmp) = rbe;
RBE_PARENT(rbe) = tmp;
}
static inline void rbe_insert_color(struct rbt_tree *rbt, struct rb_entry *rbe)
{
struct rb_entry *parent, *gparent, *tmp;
rbt->count++;
while ((parent = RBE_PARENT(rbe)) != NULL
&& RBE_COLOR(parent) == RB_RED) {
gparent = RBE_PARENT(parent);
if (parent == RBE_LEFT(gparent)) {
tmp = RBE_RIGHT(gparent);
if (tmp != NULL && RBE_COLOR(tmp) == RB_RED) {
RBE_COLOR(tmp) = RB_BLACK;
rbe_set_blackred(parent, gparent);
rbe = gparent;
continue;
}
if (RBE_RIGHT(parent) == rbe) {
rbe_rotate_left(rbt, parent);
tmp = parent;
parent = rbe;
rbe = tmp;
}
rbe_set_blackred(parent, gparent);
rbe_rotate_right(rbt, gparent);
} else {
tmp = RBE_LEFT(gparent);
if (tmp != NULL && RBE_COLOR(tmp) == RB_RED) {
RBE_COLOR(tmp) = RB_BLACK;
rbe_set_blackred(parent, gparent);
rbe = gparent;
continue;
}
if (RBE_LEFT(parent) == rbe) {
rbe_rotate_right(rbt, parent);
tmp = parent;
parent = rbe;
rbe = tmp;
}
rbe_set_blackred(parent, gparent);
rbe_rotate_left(rbt, gparent);
}
}
RBE_COLOR(RBH_ROOT(rbt)) = RB_BLACK;
}
static inline void rbe_remove_color(struct rbt_tree *rbt,
struct rb_entry *parent,
struct rb_entry *rbe)
{
struct rb_entry *tmp;
while ((rbe == NULL || RBE_COLOR(rbe) == RB_BLACK)
&& rbe != RBH_ROOT(rbt) && parent) {
if (RBE_LEFT(parent) == rbe) {
tmp = RBE_RIGHT(parent);
if (RBE_COLOR(tmp) == RB_RED) {
rbe_set_blackred(tmp, parent);
rbe_rotate_left(rbt, parent);
tmp = RBE_RIGHT(parent);
}
if ((RBE_LEFT(tmp) == NULL
|| RBE_COLOR(RBE_LEFT(tmp)) == RB_BLACK)
&& (RBE_RIGHT(tmp) == NULL
|| RBE_COLOR(RBE_RIGHT(tmp)) == RB_BLACK)) {
RBE_COLOR(tmp) = RB_RED;
rbe = parent;
parent = RBE_PARENT(rbe);
} else {
if (RBE_RIGHT(tmp) == NULL
|| RBE_COLOR(RBE_RIGHT(tmp)) == RB_BLACK) {
struct rb_entry *oleft;
oleft = RBE_LEFT(tmp);
if (oleft != NULL)
RBE_COLOR(oleft) = RB_BLACK;
RBE_COLOR(tmp) = RB_RED;
rbe_rotate_right(rbt, tmp);
tmp = RBE_RIGHT(parent);
}
RBE_COLOR(tmp) = RBE_COLOR(parent);
RBE_COLOR(parent) = RB_BLACK;
if (RBE_RIGHT(tmp))
RBE_COLOR(RBE_RIGHT(tmp)) = RB_BLACK;
rbe_rotate_left(rbt, parent);
rbe = RBH_ROOT(rbt);
break;
}
} else {
tmp = RBE_LEFT(parent);
if (RBE_COLOR(tmp) == RB_RED) {
rbe_set_blackred(tmp, parent);
rbe_rotate_right(rbt, parent);
tmp = RBE_LEFT(parent);
}
if ((RBE_LEFT(tmp) == NULL
|| RBE_COLOR(RBE_LEFT(tmp)) == RB_BLACK)
&& (RBE_RIGHT(tmp) == NULL
|| RBE_COLOR(RBE_RIGHT(tmp)) == RB_BLACK)) {
RBE_COLOR(tmp) = RB_RED;
rbe = parent;
parent = RBE_PARENT(rbe);
} else {
if (RBE_LEFT(tmp) == NULL
|| RBE_COLOR(RBE_LEFT(tmp)) == RB_BLACK) {
struct rb_entry *oright;
oright = RBE_RIGHT(tmp);
if (oright != NULL)
RBE_COLOR(oright) = RB_BLACK;
RBE_COLOR(tmp) = RB_RED;
rbe_rotate_left(rbt, tmp);
tmp = RBE_LEFT(parent);
}
RBE_COLOR(tmp) = RBE_COLOR(parent);
RBE_COLOR(parent) = RB_BLACK;
if (RBE_LEFT(tmp) != NULL)
RBE_COLOR(RBE_LEFT(tmp)) = RB_BLACK;
rbe_rotate_right(rbt, parent);
rbe = RBH_ROOT(rbt);
break;
}
}
}
if (rbe != NULL)
RBE_COLOR(rbe) = RB_BLACK;
}
static inline struct rb_entry *
rbe_remove(struct rbt_tree *rbt, struct rb_entry *rbe)
{
struct rb_entry *child, *parent, *old = rbe;
unsigned int color;
if (RBE_LEFT(rbe) == NULL)
child = RBE_RIGHT(rbe);
else if (RBE_RIGHT(rbe) == NULL)
child = RBE_LEFT(rbe);
else {
struct rb_entry *tmp;
rbe = RBE_RIGHT(rbe);
while ((tmp = RBE_LEFT(rbe)) != NULL)
rbe = tmp;
child = RBE_RIGHT(rbe);
parent = RBE_PARENT(rbe);
color = RBE_COLOR(rbe);
if (child != NULL)
RBE_PARENT(child) = parent;
if (parent != NULL) {
if (RBE_LEFT(parent) == rbe)
RBE_LEFT(parent) = child;
else
RBE_RIGHT(parent) = child;
} else
RBH_ROOT(rbt) = child;
if (RBE_PARENT(rbe) == old)
parent = rbe;
*rbe = *old;
tmp = RBE_PARENT(old);
if (tmp != NULL) {
if (RBE_LEFT(tmp) == old)
RBE_LEFT(tmp) = rbe;
else
RBE_RIGHT(tmp) = rbe;
} else
RBH_ROOT(rbt) = rbe;
RBE_PARENT(RBE_LEFT(old)) = rbe;
if (RBE_RIGHT(old))
RBE_PARENT(RBE_RIGHT(old)) = rbe;
goto color;
}
parent = RBE_PARENT(rbe);
color = RBE_COLOR(rbe);
if (child != NULL)
RBE_PARENT(child) = parent;
if (parent != NULL) {
if (RBE_LEFT(parent) == rbe)
RBE_LEFT(parent) = child;
else
RBE_RIGHT(parent) = child;
} else
RBH_ROOT(rbt) = child;
color:
if (color == RB_BLACK)
rbe_remove_color(rbt, parent, child);
rbt->count--;
memset(old, 0, sizeof(*old));
return (old);
}
struct typed_rb_entry *typed_rb_remove(struct rbt_tree *rbt,
struct rb_entry *rbe)
{
return rbe_remove(rbt, rbe);
}
struct typed_rb_entry *typed_rb_insert(struct rbt_tree *rbt,
struct rb_entry *rbe, int (*cmpfn)(
const struct typed_rb_entry *a,
const struct typed_rb_entry *b))
{
struct rb_entry *tmp;
struct rb_entry *parent = NULL;
int comp = 0;
tmp = RBH_ROOT(rbt);
while (tmp != NULL) {
parent = tmp;
comp = cmpfn(rbe, tmp);
if (comp < 0)
tmp = RBE_LEFT(tmp);
else if (comp > 0)
tmp = RBE_RIGHT(tmp);
else
return tmp;
}
rbe_set(rbe, parent);
if (parent != NULL) {
if (comp < 0)
RBE_LEFT(parent) = rbe;
else
RBE_RIGHT(parent) = rbe;
} else
RBH_ROOT(rbt) = rbe;
rbe_insert_color(rbt, rbe);
return NULL;
}
/* Finds the node with the same key as elm */
const struct rb_entry *typed_rb_find(const struct rbt_tree *rbt,
const struct rb_entry *key,
int (*cmpfn)(
const struct typed_rb_entry *a,
const struct typed_rb_entry *b))
{
const struct rb_entry *tmp = RBH_ROOT(rbt);
int comp;
while (tmp != NULL) {
comp = cmpfn(key, tmp);
if (comp < 0)
tmp = RBE_LEFT(tmp);
else if (comp > 0)
tmp = RBE_RIGHT(tmp);
else
return tmp;
}
return NULL;
}
const struct rb_entry *typed_rb_find_gteq(const struct rbt_tree *rbt,
const struct rb_entry *key,
int (*cmpfn)(
const struct typed_rb_entry *a,
const struct typed_rb_entry *b))
{
const struct rb_entry *tmp = RBH_ROOT(rbt), *best = NULL;
int comp;
while (tmp != NULL) {
comp = cmpfn(key, tmp);
if (comp < 0) {
best = tmp;
tmp = RBE_LEFT(tmp);
} else if (comp > 0)
tmp = RBE_RIGHT(tmp);
else
return tmp;
}
return best;
}
const struct rb_entry *typed_rb_find_lt(const struct rbt_tree *rbt,
const struct rb_entry *key,
int (*cmpfn)(
const struct typed_rb_entry *a,
const struct typed_rb_entry *b))
{
const struct rb_entry *tmp = RBH_ROOT(rbt), *best = NULL;
int comp;
while (tmp != NULL) {
comp = cmpfn(key, tmp);
if (comp <= 0)
tmp = RBE_LEFT(tmp);
else {
best = tmp;
tmp = RBE_RIGHT(tmp);
}
}
return best;
}
struct rb_entry *typed_rb_next(const struct rb_entry *rbe_const)
{
struct rb_entry *rbe = (struct rb_entry *)rbe_const;
if (RBE_RIGHT(rbe) != NULL) {
rbe = RBE_RIGHT(rbe);
while (RBE_LEFT(rbe) != NULL)
rbe = RBE_LEFT(rbe);
} else {
if (RBE_PARENT(rbe) && (rbe == RBE_LEFT(RBE_PARENT(rbe))))
rbe = RBE_PARENT(rbe);
else {
while (RBE_PARENT(rbe)
&& (rbe == RBE_RIGHT(RBE_PARENT(rbe))))
rbe = RBE_PARENT(rbe);
rbe = RBE_PARENT(rbe);
}
}
return rbe;
}
struct rb_entry *typed_rb_prev(const struct rb_entry *rbe_const)
{
struct rb_entry *rbe = (struct rb_entry *)rbe_const;
if (RBE_LEFT(rbe)) {
rbe = RBE_LEFT(rbe);
while (RBE_RIGHT(rbe))
rbe = RBE_RIGHT(rbe);
} else {
if (RBE_PARENT(rbe) && (rbe == RBE_RIGHT(RBE_PARENT(rbe))))
rbe = RBE_PARENT(rbe);
else {
while (RBE_PARENT(rbe)
&& (rbe == RBE_LEFT(RBE_PARENT(rbe))))
rbe = RBE_PARENT(rbe);
rbe = RBE_PARENT(rbe);
}
}
return rbe;
}
struct rb_entry *typed_rb_min(const struct rbt_tree *rbt)
{
struct rb_entry *rbe = RBH_ROOT(rbt);
struct rb_entry *parent = NULL;
while (rbe != NULL) {
parent = rbe;
rbe = RBE_LEFT(rbe);
}
return parent;
}
struct rb_entry *typed_rb_max(const struct rbt_tree *rbt)
{
struct rb_entry *rbe = RBH_ROOT(rbt);
struct rb_entry *parent = NULL;
while (rbe != NULL) {
parent = rbe;
rbe = RBE_RIGHT(rbe);
}
return parent;
}
bool typed_rb_member(const struct typed_rb_root *rbt,
const struct typed_rb_entry *rbe)
{
while (rbe->rbt_parent)
rbe = rbe->rbt_parent;
return rbe == rbt->rbt_root;
}
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