You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
768 lines
52 KiB
768 lines
52 KiB
/*- |
|
* Copyright 2002 Niels Provos <provos@citi.umich.edu> |
|
* All rights reserved. |
|
* |
|
* Redistribution and use in source and binary forms, with or without |
|
* modification, are permitted provided that the following conditions |
|
* are met: |
|
* 1. Redistributions of source code must retain the above copyright |
|
* notice, this list of conditions and the following disclaimer. |
|
* 2. Redistributions in binary form must reproduce the above copyright |
|
* notice, this list of conditions and the following disclaimer in the |
|
* documentation and/or other materials provided with the distribution. |
|
* |
|
* THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR |
|
* IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES |
|
* OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. |
|
* IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT, |
|
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT |
|
* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, |
|
* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY |
|
* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT |
|
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF |
|
* THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
|
*/ |
|
|
|
#ifndef UV_TREE_H_ |
|
#define UV_TREE_H_ |
|
|
|
#ifndef UV__UNUSED |
|
# if __GNUC__ |
|
# define UV__UNUSED __attribute__((unused)) |
|
# else |
|
# define UV__UNUSED |
|
# endif |
|
#endif |
|
|
|
/* |
|
* This file defines data structures for different types of trees: |
|
* splay trees and red-black trees. |
|
* |
|
* A splay tree is a self-organizing data structure. Every operation |
|
* on the tree causes a splay to happen. The splay moves the requested |
|
* node to the root of the tree and partly rebalances it. |
|
* |
|
* This has the benefit that request locality causes faster lookups as |
|
* the requested nodes move to the top of the tree. On the other hand, |
|
* every lookup causes memory writes. |
|
* |
|
* The Balance Theorem bounds the total access time for m operations |
|
* and n inserts on an initially empty tree as O((m + n)lg n). The |
|
* amortized cost for a sequence of m accesses to a splay tree is O(lg n); |
|
* |
|
* A red-black tree is a binary search tree with the node color as an |
|
* extra attribute. It fulfills a set of conditions: |
|
* - every search path from the root to a leaf consists of the |
|
* same number of black nodes, |
|
* - each red node (except for the root) has a black parent, |
|
* - each leaf node is black. |
|
* |
|
* Every operation on a red-black tree is bounded as O(lg n). |
|
* The maximum height of a red-black tree is 2lg (n+1). |
|
*/ |
|
|
|
#define SPLAY_HEAD(name, type) \ |
|
struct name { \ |
|
struct type *sph_root; /* root of the tree */ \ |
|
} |
|
|
|
#define SPLAY_INITIALIZER(root) \ |
|
{ NULL } |
|
|
|
#define SPLAY_INIT(root) do { \ |
|
(root)->sph_root = NULL; \ |
|
} while (/*CONSTCOND*/ 0) |
|
|
|
#define SPLAY_ENTRY(type) \ |
|
struct { \ |
|
struct type *spe_left; /* left element */ \ |
|
struct type *spe_right; /* right element */ \ |
|
} |
|
|
|
#define SPLAY_LEFT(elm, field) (elm)->field.spe_left |
|
#define SPLAY_RIGHT(elm, field) (elm)->field.spe_right |
|
#define SPLAY_ROOT(head) (head)->sph_root |
|
#define SPLAY_EMPTY(head) (SPLAY_ROOT(head) == NULL) |
|
|
|
/* SPLAY_ROTATE_{LEFT,RIGHT} expect that tmp hold SPLAY_{RIGHT,LEFT} */ |
|
#define SPLAY_ROTATE_RIGHT(head, tmp, field) do { \ |
|
SPLAY_LEFT((head)->sph_root, field) = SPLAY_RIGHT(tmp, field); \ |
|
SPLAY_RIGHT(tmp, field) = (head)->sph_root; \ |
|
(head)->sph_root = tmp; \ |
|
} while (/*CONSTCOND*/ 0) |
|
|
|
#define SPLAY_ROTATE_LEFT(head, tmp, field) do { \ |
|
SPLAY_RIGHT((head)->sph_root, field) = SPLAY_LEFT(tmp, field); \ |
|
SPLAY_LEFT(tmp, field) = (head)->sph_root; \ |
|
(head)->sph_root = tmp; \ |
|
} while (/*CONSTCOND*/ 0) |
|
|
|
#define SPLAY_LINKLEFT(head, tmp, field) do { \ |
|
SPLAY_LEFT(tmp, field) = (head)->sph_root; \ |
|
tmp = (head)->sph_root; \ |
|
(head)->sph_root = SPLAY_LEFT((head)->sph_root, field); \ |
|
} while (/*CONSTCOND*/ 0) |
|
|
|
#define SPLAY_LINKRIGHT(head, tmp, field) do { \ |
|
SPLAY_RIGHT(tmp, field) = (head)->sph_root; \ |
|
tmp = (head)->sph_root; \ |
|
(head)->sph_root = SPLAY_RIGHT((head)->sph_root, field); \ |
|
} while (/*CONSTCOND*/ 0) |
|
|
|
#define SPLAY_ASSEMBLE(head, node, left, right, field) do { \ |
|
SPLAY_RIGHT(left, field) = SPLAY_LEFT((head)->sph_root, field); \ |
|
SPLAY_LEFT(right, field) = SPLAY_RIGHT((head)->sph_root, field); \ |
|
SPLAY_LEFT((head)->sph_root, field) = SPLAY_RIGHT(node, field); \ |
|
SPLAY_RIGHT((head)->sph_root, field) = SPLAY_LEFT(node, field); \ |
|
} while (/*CONSTCOND*/ 0) |
|
|
|
/* Generates prototypes and inline functions */ |
|
|
|
#define SPLAY_PROTOTYPE(name, type, field, cmp) \ |
|
void name##_SPLAY(struct name *, struct type *); \ |
|
void name##_SPLAY_MINMAX(struct name *, int); \ |
|
struct type *name##_SPLAY_INSERT(struct name *, struct type *); \ |
|
struct type *name##_SPLAY_REMOVE(struct name *, struct type *); \ |
|
\ |
|
/* Finds the node with the same key as elm */ \ |
|
static __inline struct type * \ |
|
name##_SPLAY_FIND(struct name *head, struct type *elm) \ |
|
{ \ |
|
if (SPLAY_EMPTY(head)) \ |
|
return(NULL); \ |
|
name##_SPLAY(head, elm); \ |
|
if ((cmp)(elm, (head)->sph_root) == 0) \ |
|
return (head->sph_root); \ |
|
return (NULL); \ |
|
} \ |
|
\ |
|
static __inline struct type * \ |
|
name##_SPLAY_NEXT(struct name *head, struct type *elm) \ |
|
{ \ |
|
name##_SPLAY(head, elm); \ |
|
if (SPLAY_RIGHT(elm, field) != NULL) { \ |
|
elm = SPLAY_RIGHT(elm, field); \ |
|
while (SPLAY_LEFT(elm, field) != NULL) { \ |
|
elm = SPLAY_LEFT(elm, field); \ |
|
} \ |
|
} else \ |
|
elm = NULL; \ |
|
return (elm); \ |
|
} \ |
|
\ |
|
static __inline struct type * \ |
|
name##_SPLAY_MIN_MAX(struct name *head, int val) \ |
|
{ \ |
|
name##_SPLAY_MINMAX(head, val); \ |
|
return (SPLAY_ROOT(head)); \ |
|
} |
|
|
|
/* Main splay operation. |
|
* Moves node close to the key of elm to top |
|
*/ |
|
#define SPLAY_GENERATE(name, type, field, cmp) \ |
|
struct type * \ |
|
name##_SPLAY_INSERT(struct name *head, struct type *elm) \ |
|
{ \ |
|
if (SPLAY_EMPTY(head)) { \ |
|
SPLAY_LEFT(elm, field) = SPLAY_RIGHT(elm, field) = NULL; \ |
|
} else { \ |
|
int __comp; \ |
|
name##_SPLAY(head, elm); \ |
|
__comp = (cmp)(elm, (head)->sph_root); \ |
|
if(__comp < 0) { \ |
|
SPLAY_LEFT(elm, field) = SPLAY_LEFT((head)->sph_root, field); \ |
|
SPLAY_RIGHT(elm, field) = (head)->sph_root; \ |
|
SPLAY_LEFT((head)->sph_root, field) = NULL; \ |
|
} else if (__comp > 0) { \ |
|
SPLAY_RIGHT(elm, field) = SPLAY_RIGHT((head)->sph_root, field); \ |
|
SPLAY_LEFT(elm, field) = (head)->sph_root; \ |
|
SPLAY_RIGHT((head)->sph_root, field) = NULL; \ |
|
} else \ |
|
return ((head)->sph_root); \ |
|
} \ |
|
(head)->sph_root = (elm); \ |
|
return (NULL); \ |
|
} \ |
|
\ |
|
struct type * \ |
|
name##_SPLAY_REMOVE(struct name *head, struct type *elm) \ |
|
{ \ |
|
struct type *__tmp; \ |
|
if (SPLAY_EMPTY(head)) \ |
|
return (NULL); \ |
|
name##_SPLAY(head, elm); \ |
|
if ((cmp)(elm, (head)->sph_root) == 0) { \ |
|
if (SPLAY_LEFT((head)->sph_root, field) == NULL) { \ |
|
(head)->sph_root = SPLAY_RIGHT((head)->sph_root, field); \ |
|
} else { \ |
|
__tmp = SPLAY_RIGHT((head)->sph_root, field); \ |
|
(head)->sph_root = SPLAY_LEFT((head)->sph_root, field); \ |
|
name##_SPLAY(head, elm); \ |
|
SPLAY_RIGHT((head)->sph_root, field) = __tmp; \ |
|
} \ |
|
return (elm); \ |
|
} \ |
|
return (NULL); \ |
|
} \ |
|
\ |
|
void \ |
|
name##_SPLAY(struct name *head, struct type *elm) \ |
|
{ \ |
|
struct type __node, *__left, *__right, *__tmp; \ |
|
int __comp; \ |
|
\ |
|
SPLAY_LEFT(&__node, field) = SPLAY_RIGHT(&__node, field) = NULL; \ |
|
__left = __right = &__node; \ |
|
\ |
|
while ((__comp = (cmp)(elm, (head)->sph_root)) != 0) { \ |
|
if (__comp < 0) { \ |
|
__tmp = SPLAY_LEFT((head)->sph_root, field); \ |
|
if (__tmp == NULL) \ |
|
break; \ |
|
if ((cmp)(elm, __tmp) < 0){ \ |
|
SPLAY_ROTATE_RIGHT(head, __tmp, field); \ |
|
if (SPLAY_LEFT((head)->sph_root, field) == NULL) \ |
|
break; \ |
|
} \ |
|
SPLAY_LINKLEFT(head, __right, field); \ |
|
} else if (__comp > 0) { \ |
|
__tmp = SPLAY_RIGHT((head)->sph_root, field); \ |
|
if (__tmp == NULL) \ |
|
break; \ |
|
if ((cmp)(elm, __tmp) > 0){ \ |
|
SPLAY_ROTATE_LEFT(head, __tmp, field); \ |
|
if (SPLAY_RIGHT((head)->sph_root, field) == NULL) \ |
|
break; \ |
|
} \ |
|
SPLAY_LINKRIGHT(head, __left, field); \ |
|
} \ |
|
} \ |
|
SPLAY_ASSEMBLE(head, &__node, __left, __right, field); \ |
|
} \ |
|
\ |
|
/* Splay with either the minimum or the maximum element \ |
|
* Used to find minimum or maximum element in tree. \ |
|
*/ \ |
|
void name##_SPLAY_MINMAX(struct name *head, int __comp) \ |
|
{ \ |
|
struct type __node, *__left, *__right, *__tmp; \ |
|
\ |
|
SPLAY_LEFT(&__node, field) = SPLAY_RIGHT(&__node, field) = NULL; \ |
|
__left = __right = &__node; \ |
|
\ |
|
while (1) { \ |
|
if (__comp < 0) { \ |
|
__tmp = SPLAY_LEFT((head)->sph_root, field); \ |
|
if (__tmp == NULL) \ |
|
break; \ |
|
if (__comp < 0){ \ |
|
SPLAY_ROTATE_RIGHT(head, __tmp, field); \ |
|
if (SPLAY_LEFT((head)->sph_root, field) == NULL) \ |
|
break; \ |
|
} \ |
|
SPLAY_LINKLEFT(head, __right, field); \ |
|
} else if (__comp > 0) { \ |
|
__tmp = SPLAY_RIGHT((head)->sph_root, field); \ |
|
if (__tmp == NULL) \ |
|
break; \ |
|
if (__comp > 0) { \ |
|
SPLAY_ROTATE_LEFT(head, __tmp, field); \ |
|
if (SPLAY_RIGHT((head)->sph_root, field) == NULL) \ |
|
break; \ |
|
} \ |
|
SPLAY_LINKRIGHT(head, __left, field); \ |
|
} \ |
|
} \ |
|
SPLAY_ASSEMBLE(head, &__node, __left, __right, field); \ |
|
} |
|
|
|
#define SPLAY_NEGINF -1 |
|
#define SPLAY_INF 1 |
|
|
|
#define SPLAY_INSERT(name, x, y) name##_SPLAY_INSERT(x, y) |
|
#define SPLAY_REMOVE(name, x, y) name##_SPLAY_REMOVE(x, y) |
|
#define SPLAY_FIND(name, x, y) name##_SPLAY_FIND(x, y) |
|
#define SPLAY_NEXT(name, x, y) name##_SPLAY_NEXT(x, y) |
|
#define SPLAY_MIN(name, x) (SPLAY_EMPTY(x) ? NULL \ |
|
: name##_SPLAY_MIN_MAX(x, SPLAY_NEGINF)) |
|
#define SPLAY_MAX(name, x) (SPLAY_EMPTY(x) ? NULL \ |
|
: name##_SPLAY_MIN_MAX(x, SPLAY_INF)) |
|
|
|
#define SPLAY_FOREACH(x, name, head) \ |
|
for ((x) = SPLAY_MIN(name, head); \ |
|
(x) != NULL; \ |
|
(x) = SPLAY_NEXT(name, head, x)) |
|
|
|
/* Macros that define a red-black tree */ |
|
#define RB_HEAD(name, type) \ |
|
struct name { \ |
|
struct type *rbh_root; /* root of the tree */ \ |
|
} |
|
|
|
#define RB_INITIALIZER(root) \ |
|
{ NULL } |
|
|
|
#define RB_INIT(root) do { \ |
|
(root)->rbh_root = NULL; \ |
|
} while (/*CONSTCOND*/ 0) |
|
|
|
#define RB_BLACK 0 |
|
#define RB_RED 1 |
|
#define RB_ENTRY(type) \ |
|
struct { \ |
|
struct type *rbe_left; /* left element */ \ |
|
struct type *rbe_right; /* right element */ \ |
|
struct type *rbe_parent; /* parent element */ \ |
|
int rbe_color; /* node color */ \ |
|
} |
|
|
|
#define RB_LEFT(elm, field) (elm)->field.rbe_left |
|
#define RB_RIGHT(elm, field) (elm)->field.rbe_right |
|
#define RB_PARENT(elm, field) (elm)->field.rbe_parent |
|
#define RB_COLOR(elm, field) (elm)->field.rbe_color |
|
#define RB_ROOT(head) (head)->rbh_root |
|
#define RB_EMPTY(head) (RB_ROOT(head) == NULL) |
|
|
|
#define RB_SET(elm, parent, field) do { \ |
|
RB_PARENT(elm, field) = parent; \ |
|
RB_LEFT(elm, field) = RB_RIGHT(elm, field) = NULL; \ |
|
RB_COLOR(elm, field) = RB_RED; \ |
|
} while (/*CONSTCOND*/ 0) |
|
|
|
#define RB_SET_BLACKRED(black, red, field) do { \ |
|
RB_COLOR(black, field) = RB_BLACK; \ |
|
RB_COLOR(red, field) = RB_RED; \ |
|
} while (/*CONSTCOND*/ 0) |
|
|
|
#ifndef RB_AUGMENT |
|
#define RB_AUGMENT(x) do {} while (0) |
|
#endif |
|
|
|
#define RB_ROTATE_LEFT(head, elm, tmp, field) do { \ |
|
(tmp) = RB_RIGHT(elm, field); \ |
|
if ((RB_RIGHT(elm, field) = RB_LEFT(tmp, field)) != NULL) { \ |
|
RB_PARENT(RB_LEFT(tmp, field), field) = (elm); \ |
|
} \ |
|
RB_AUGMENT(elm); \ |
|
if ((RB_PARENT(tmp, field) = RB_PARENT(elm, field)) != NULL) { \ |
|
if ((elm) == RB_LEFT(RB_PARENT(elm, field), field)) \ |
|
RB_LEFT(RB_PARENT(elm, field), field) = (tmp); \ |
|
else \ |
|
RB_RIGHT(RB_PARENT(elm, field), field) = (tmp); \ |
|
} else \ |
|
(head)->rbh_root = (tmp); \ |
|
RB_LEFT(tmp, field) = (elm); \ |
|
RB_PARENT(elm, field) = (tmp); \ |
|
RB_AUGMENT(tmp); \ |
|
if ((RB_PARENT(tmp, field))) \ |
|
RB_AUGMENT(RB_PARENT(tmp, field)); \ |
|
} while (/*CONSTCOND*/ 0) |
|
|
|
#define RB_ROTATE_RIGHT(head, elm, tmp, field) do { \ |
|
(tmp) = RB_LEFT(elm, field); \ |
|
if ((RB_LEFT(elm, field) = RB_RIGHT(tmp, field)) != NULL) { \ |
|
RB_PARENT(RB_RIGHT(tmp, field), field) = (elm); \ |
|
} \ |
|
RB_AUGMENT(elm); \ |
|
if ((RB_PARENT(tmp, field) = RB_PARENT(elm, field)) != NULL) { \ |
|
if ((elm) == RB_LEFT(RB_PARENT(elm, field), field)) \ |
|
RB_LEFT(RB_PARENT(elm, field), field) = (tmp); \ |
|
else \ |
|
RB_RIGHT(RB_PARENT(elm, field), field) = (tmp); \ |
|
} else \ |
|
(head)->rbh_root = (tmp); \ |
|
RB_RIGHT(tmp, field) = (elm); \ |
|
RB_PARENT(elm, field) = (tmp); \ |
|
RB_AUGMENT(tmp); \ |
|
if ((RB_PARENT(tmp, field))) \ |
|
RB_AUGMENT(RB_PARENT(tmp, field)); \ |
|
} while (/*CONSTCOND*/ 0) |
|
|
|
/* Generates prototypes and inline functions */ |
|
#define RB_PROTOTYPE(name, type, field, cmp) \ |
|
RB_PROTOTYPE_INTERNAL(name, type, field, cmp,) |
|
#define RB_PROTOTYPE_STATIC(name, type, field, cmp) \ |
|
RB_PROTOTYPE_INTERNAL(name, type, field, cmp, UV__UNUSED static) |
|
#define RB_PROTOTYPE_INTERNAL(name, type, field, cmp, attr) \ |
|
attr void name##_RB_INSERT_COLOR(struct name *, struct type *); \ |
|
attr void name##_RB_REMOVE_COLOR(struct name *, struct type *, struct type *);\ |
|
attr struct type *name##_RB_REMOVE(struct name *, struct type *); \ |
|
attr struct type *name##_RB_INSERT(struct name *, struct type *); \ |
|
attr struct type *name##_RB_FIND(struct name *, struct type *); \ |
|
attr struct type *name##_RB_NFIND(struct name *, struct type *); \ |
|
attr struct type *name##_RB_NEXT(struct type *); \ |
|
attr struct type *name##_RB_PREV(struct type *); \ |
|
attr struct type *name##_RB_MINMAX(struct name *, int); \ |
|
\ |
|
|
|
/* Main rb operation. |
|
* Moves node close to the key of elm to top |
|
*/ |
|
#define RB_GENERATE(name, type, field, cmp) \ |
|
RB_GENERATE_INTERNAL(name, type, field, cmp,) |
|
#define RB_GENERATE_STATIC(name, type, field, cmp) \ |
|
RB_GENERATE_INTERNAL(name, type, field, cmp, UV__UNUSED static) |
|
#define RB_GENERATE_INTERNAL(name, type, field, cmp, attr) \ |
|
attr void \ |
|
name##_RB_INSERT_COLOR(struct name *head, struct type *elm) \ |
|
{ \ |
|
struct type *parent, *gparent, *tmp; \ |
|
while ((parent = RB_PARENT(elm, field)) != NULL && \ |
|
RB_COLOR(parent, field) == RB_RED) { \ |
|
gparent = RB_PARENT(parent, field); \ |
|
if (parent == RB_LEFT(gparent, field)) { \ |
|
tmp = RB_RIGHT(gparent, field); \ |
|
if (tmp && RB_COLOR(tmp, field) == RB_RED) { \ |
|
RB_COLOR(tmp, field) = RB_BLACK; \ |
|
RB_SET_BLACKRED(parent, gparent, field); \ |
|
elm = gparent; \ |
|
continue; \ |
|
} \ |
|
if (RB_RIGHT(parent, field) == elm) { \ |
|
RB_ROTATE_LEFT(head, parent, tmp, field); \ |
|
tmp = parent; \ |
|
parent = elm; \ |
|
elm = tmp; \ |
|
} \ |
|
RB_SET_BLACKRED(parent, gparent, field); \ |
|
RB_ROTATE_RIGHT(head, gparent, tmp, field); \ |
|
} else { \ |
|
tmp = RB_LEFT(gparent, field); \ |
|
if (tmp && RB_COLOR(tmp, field) == RB_RED) { \ |
|
RB_COLOR(tmp, field) = RB_BLACK; \ |
|
RB_SET_BLACKRED(parent, gparent, field); \ |
|
elm = gparent; \ |
|
continue; \ |
|
} \ |
|
if (RB_LEFT(parent, field) == elm) { \ |
|
RB_ROTATE_RIGHT(head, parent, tmp, field); \ |
|
tmp = parent; \ |
|
parent = elm; \ |
|
elm = tmp; \ |
|
} \ |
|
RB_SET_BLACKRED(parent, gparent, field); \ |
|
RB_ROTATE_LEFT(head, gparent, tmp, field); \ |
|
} \ |
|
} \ |
|
RB_COLOR(head->rbh_root, field) = RB_BLACK; \ |
|
} \ |
|
\ |
|
attr void \ |
|
name##_RB_REMOVE_COLOR(struct name *head, struct type *parent, \ |
|
struct type *elm) \ |
|
{ \ |
|
struct type *tmp; \ |
|
while ((elm == NULL || RB_COLOR(elm, field) == RB_BLACK) && \ |
|
elm != RB_ROOT(head)) { \ |
|
if (RB_LEFT(parent, field) == elm) { \ |
|
tmp = RB_RIGHT(parent, field); \ |
|
if (RB_COLOR(tmp, field) == RB_RED) { \ |
|
RB_SET_BLACKRED(tmp, parent, field); \ |
|
RB_ROTATE_LEFT(head, parent, tmp, field); \ |
|
tmp = RB_RIGHT(parent, field); \ |
|
} \ |
|
if ((RB_LEFT(tmp, field) == NULL || \ |
|
RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) && \ |
|
(RB_RIGHT(tmp, field) == NULL || \ |
|
RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK)) { \ |
|
RB_COLOR(tmp, field) = RB_RED; \ |
|
elm = parent; \ |
|
parent = RB_PARENT(elm, field); \ |
|
} else { \ |
|
if (RB_RIGHT(tmp, field) == NULL || \ |
|
RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK) { \ |
|
struct type *oleft; \ |
|
if ((oleft = RB_LEFT(tmp, field)) \ |
|
!= NULL) \ |
|
RB_COLOR(oleft, field) = RB_BLACK; \ |
|
RB_COLOR(tmp, field) = RB_RED; \ |
|
RB_ROTATE_RIGHT(head, tmp, oleft, field); \ |
|
tmp = RB_RIGHT(parent, field); \ |
|
} \ |
|
RB_COLOR(tmp, field) = RB_COLOR(parent, field); \ |
|
RB_COLOR(parent, field) = RB_BLACK; \ |
|
if (RB_RIGHT(tmp, field)) \ |
|
RB_COLOR(RB_RIGHT(tmp, field), field) = RB_BLACK; \ |
|
RB_ROTATE_LEFT(head, parent, tmp, field); \ |
|
elm = RB_ROOT(head); \ |
|
break; \ |
|
} \ |
|
} else { \ |
|
tmp = RB_LEFT(parent, field); \ |
|
if (RB_COLOR(tmp, field) == RB_RED) { \ |
|
RB_SET_BLACKRED(tmp, parent, field); \ |
|
RB_ROTATE_RIGHT(head, parent, tmp, field); \ |
|
tmp = RB_LEFT(parent, field); \ |
|
} \ |
|
if ((RB_LEFT(tmp, field) == NULL || \ |
|
RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) && \ |
|
(RB_RIGHT(tmp, field) == NULL || \ |
|
RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK)) { \ |
|
RB_COLOR(tmp, field) = RB_RED; \ |
|
elm = parent; \ |
|
parent = RB_PARENT(elm, field); \ |
|
} else { \ |
|
if (RB_LEFT(tmp, field) == NULL || \ |
|
RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) { \ |
|
struct type *oright; \ |
|
if ((oright = RB_RIGHT(tmp, field)) \ |
|
!= NULL) \ |
|
RB_COLOR(oright, field) = RB_BLACK; \ |
|
RB_COLOR(tmp, field) = RB_RED; \ |
|
RB_ROTATE_LEFT(head, tmp, oright, field); \ |
|
tmp = RB_LEFT(parent, field); \ |
|
} \ |
|
RB_COLOR(tmp, field) = RB_COLOR(parent, field); \ |
|
RB_COLOR(parent, field) = RB_BLACK; \ |
|
if (RB_LEFT(tmp, field)) \ |
|
RB_COLOR(RB_LEFT(tmp, field), field) = RB_BLACK; \ |
|
RB_ROTATE_RIGHT(head, parent, tmp, field); \ |
|
elm = RB_ROOT(head); \ |
|
break; \ |
|
} \ |
|
} \ |
|
} \ |
|
if (elm) \ |
|
RB_COLOR(elm, field) = RB_BLACK; \ |
|
} \ |
|
\ |
|
attr struct type * \ |
|
name##_RB_REMOVE(struct name *head, struct type *elm) \ |
|
{ \ |
|
struct type *child, *parent, *old = elm; \ |
|
int color; \ |
|
if (RB_LEFT(elm, field) == NULL) \ |
|
child = RB_RIGHT(elm, field); \ |
|
else if (RB_RIGHT(elm, field) == NULL) \ |
|
child = RB_LEFT(elm, field); \ |
|
else { \ |
|
struct type *left; \ |
|
elm = RB_RIGHT(elm, field); \ |
|
while ((left = RB_LEFT(elm, field)) != NULL) \ |
|
elm = left; \ |
|
child = RB_RIGHT(elm, field); \ |
|
parent = RB_PARENT(elm, field); \ |
|
color = RB_COLOR(elm, field); \ |
|
if (child) \ |
|
RB_PARENT(child, field) = parent; \ |
|
if (parent) { \ |
|
if (RB_LEFT(parent, field) == elm) \ |
|
RB_LEFT(parent, field) = child; \ |
|
else \ |
|
RB_RIGHT(parent, field) = child; \ |
|
RB_AUGMENT(parent); \ |
|
} else \ |
|
RB_ROOT(head) = child; \ |
|
if (RB_PARENT(elm, field) == old) \ |
|
parent = elm; \ |
|
(elm)->field = (old)->field; \ |
|
if (RB_PARENT(old, field)) { \ |
|
if (RB_LEFT(RB_PARENT(old, field), field) == old) \ |
|
RB_LEFT(RB_PARENT(old, field), field) = elm; \ |
|
else \ |
|
RB_RIGHT(RB_PARENT(old, field), field) = elm; \ |
|
RB_AUGMENT(RB_PARENT(old, field)); \ |
|
} else \ |
|
RB_ROOT(head) = elm; \ |
|
RB_PARENT(RB_LEFT(old, field), field) = elm; \ |
|
if (RB_RIGHT(old, field)) \ |
|
RB_PARENT(RB_RIGHT(old, field), field) = elm; \ |
|
if (parent) { \ |
|
left = parent; \ |
|
do { \ |
|
RB_AUGMENT(left); \ |
|
} while ((left = RB_PARENT(left, field)) != NULL); \ |
|
} \ |
|
goto color; \ |
|
} \ |
|
parent = RB_PARENT(elm, field); \ |
|
color = RB_COLOR(elm, field); \ |
|
if (child) \ |
|
RB_PARENT(child, field) = parent; \ |
|
if (parent) { \ |
|
if (RB_LEFT(parent, field) == elm) \ |
|
RB_LEFT(parent, field) = child; \ |
|
else \ |
|
RB_RIGHT(parent, field) = child; \ |
|
RB_AUGMENT(parent); \ |
|
} else \ |
|
RB_ROOT(head) = child; \ |
|
color: \ |
|
if (color == RB_BLACK) \ |
|
name##_RB_REMOVE_COLOR(head, parent, child); \ |
|
return (old); \ |
|
} \ |
|
\ |
|
/* Inserts a node into the RB tree */ \ |
|
attr struct type * \ |
|
name##_RB_INSERT(struct name *head, struct type *elm) \ |
|
{ \ |
|
struct type *tmp; \ |
|
struct type *parent = NULL; \ |
|
int comp = 0; \ |
|
tmp = RB_ROOT(head); \ |
|
while (tmp) { \ |
|
parent = tmp; \ |
|
comp = (cmp)(elm, parent); \ |
|
if (comp < 0) \ |
|
tmp = RB_LEFT(tmp, field); \ |
|
else if (comp > 0) \ |
|
tmp = RB_RIGHT(tmp, field); \ |
|
else \ |
|
return (tmp); \ |
|
} \ |
|
RB_SET(elm, parent, field); \ |
|
if (parent != NULL) { \ |
|
if (comp < 0) \ |
|
RB_LEFT(parent, field) = elm; \ |
|
else \ |
|
RB_RIGHT(parent, field) = elm; \ |
|
RB_AUGMENT(parent); \ |
|
} else \ |
|
RB_ROOT(head) = elm; \ |
|
name##_RB_INSERT_COLOR(head, elm); \ |
|
return (NULL); \ |
|
} \ |
|
\ |
|
/* Finds the node with the same key as elm */ \ |
|
attr struct type * \ |
|
name##_RB_FIND(struct name *head, struct type *elm) \ |
|
{ \ |
|
struct type *tmp = RB_ROOT(head); \ |
|
int comp; \ |
|
while (tmp) { \ |
|
comp = cmp(elm, tmp); \ |
|
if (comp < 0) \ |
|
tmp = RB_LEFT(tmp, field); \ |
|
else if (comp > 0) \ |
|
tmp = RB_RIGHT(tmp, field); \ |
|
else \ |
|
return (tmp); \ |
|
} \ |
|
return (NULL); \ |
|
} \ |
|
\ |
|
/* Finds the first node greater than or equal to the search key */ \ |
|
attr struct type * \ |
|
name##_RB_NFIND(struct name *head, struct type *elm) \ |
|
{ \ |
|
struct type *tmp = RB_ROOT(head); \ |
|
struct type *res = NULL; \ |
|
int comp; \ |
|
while (tmp) { \ |
|
comp = cmp(elm, tmp); \ |
|
if (comp < 0) { \ |
|
res = tmp; \ |
|
tmp = RB_LEFT(tmp, field); \ |
|
} \ |
|
else if (comp > 0) \ |
|
tmp = RB_RIGHT(tmp, field); \ |
|
else \ |
|
return (tmp); \ |
|
} \ |
|
return (res); \ |
|
} \ |
|
\ |
|
/* ARGSUSED */ \ |
|
attr struct type * \ |
|
name##_RB_NEXT(struct type *elm) \ |
|
{ \ |
|
if (RB_RIGHT(elm, field)) { \ |
|
elm = RB_RIGHT(elm, field); \ |
|
while (RB_LEFT(elm, field)) \ |
|
elm = RB_LEFT(elm, field); \ |
|
} else { \ |
|
if (RB_PARENT(elm, field) && \ |
|
(elm == RB_LEFT(RB_PARENT(elm, field), field))) \ |
|
elm = RB_PARENT(elm, field); \ |
|
else { \ |
|
while (RB_PARENT(elm, field) && \ |
|
(elm == RB_RIGHT(RB_PARENT(elm, field), field))) \ |
|
elm = RB_PARENT(elm, field); \ |
|
elm = RB_PARENT(elm, field); \ |
|
} \ |
|
} \ |
|
return (elm); \ |
|
} \ |
|
\ |
|
/* ARGSUSED */ \ |
|
attr struct type * \ |
|
name##_RB_PREV(struct type *elm) \ |
|
{ \ |
|
if (RB_LEFT(elm, field)) { \ |
|
elm = RB_LEFT(elm, field); \ |
|
while (RB_RIGHT(elm, field)) \ |
|
elm = RB_RIGHT(elm, field); \ |
|
} else { \ |
|
if (RB_PARENT(elm, field) && \ |
|
(elm == RB_RIGHT(RB_PARENT(elm, field), field))) \ |
|
elm = RB_PARENT(elm, field); \ |
|
else { \ |
|
while (RB_PARENT(elm, field) && \ |
|
(elm == RB_LEFT(RB_PARENT(elm, field), field))) \ |
|
elm = RB_PARENT(elm, field); \ |
|
elm = RB_PARENT(elm, field); \ |
|
} \ |
|
} \ |
|
return (elm); \ |
|
} \ |
|
\ |
|
attr struct type * \ |
|
name##_RB_MINMAX(struct name *head, int val) \ |
|
{ \ |
|
struct type *tmp = RB_ROOT(head); \ |
|
struct type *parent = NULL; \ |
|
while (tmp) { \ |
|
parent = tmp; \ |
|
if (val < 0) \ |
|
tmp = RB_LEFT(tmp, field); \ |
|
else \ |
|
tmp = RB_RIGHT(tmp, field); \ |
|
} \ |
|
return (parent); \ |
|
} |
|
|
|
#define RB_NEGINF -1 |
|
#define RB_INF 1 |
|
|
|
#define RB_INSERT(name, x, y) name##_RB_INSERT(x, y) |
|
#define RB_REMOVE(name, x, y) name##_RB_REMOVE(x, y) |
|
#define RB_FIND(name, x, y) name##_RB_FIND(x, y) |
|
#define RB_NFIND(name, x, y) name##_RB_NFIND(x, y) |
|
#define RB_NEXT(name, x, y) name##_RB_NEXT(y) |
|
#define RB_PREV(name, x, y) name##_RB_PREV(y) |
|
#define RB_MIN(name, x) name##_RB_MINMAX(x, RB_NEGINF) |
|
#define RB_MAX(name, x) name##_RB_MINMAX(x, RB_INF) |
|
|
|
#define RB_FOREACH(x, name, head) \ |
|
for ((x) = RB_MIN(name, head); \ |
|
(x) != NULL; \ |
|
(x) = name##_RB_NEXT(x)) |
|
|
|
#define RB_FOREACH_FROM(x, name, y) \ |
|
for ((x) = (y); \ |
|
((x) != NULL) && ((y) = name##_RB_NEXT(x), (x) != NULL); \ |
|
(x) = (y)) |
|
|
|
#define RB_FOREACH_SAFE(x, name, head, y) \ |
|
for ((x) = RB_MIN(name, head); \ |
|
((x) != NULL) && ((y) = name##_RB_NEXT(x), (x) != NULL); \ |
|
(x) = (y)) |
|
|
|
#define RB_FOREACH_REVERSE(x, name, head) \ |
|
for ((x) = RB_MAX(name, head); \ |
|
(x) != NULL; \ |
|
(x) = name##_RB_PREV(x)) |
|
|
|
#define RB_FOREACH_REVERSE_FROM(x, name, y) \ |
|
for ((x) = (y); \ |
|
((x) != NULL) && ((y) = name##_RB_PREV(x), (x) != NULL); \ |
|
(x) = (y)) |
|
|
|
#define RB_FOREACH_REVERSE_SAFE(x, name, head, y) \ |
|
for ((x) = RB_MAX(name, head); \ |
|
((x) != NULL) && ((y) = name##_RB_PREV(x), (x) != NULL); \ |
|
(x) = (y)) |
|
|
|
#endif /* UV_TREE_H_ */
|
|
|