/*
- * Copyright (c) 2008 Apple Computer, Inc. All rights reserved.
+ * Copyright (c) 2009 Apple Inc. All rights reserved.
*
* @APPLE_OSREFERENCE_LICENSE_HEADER_START@
*
* @APPLE_OSREFERENCE_LICENSE_HEADER_END@
*/
-/* $NetBSD: tree.h,v 1.13 2006/08/27 22:32:38 christos Exp $ */
-/* $OpenBSD: tree.h,v 1.7 2002/10/17 21:51:54 art Exp $ */
-/*
- * 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 _SYS_TREE_H_
-#define _SYS_TREE_H_
-
-/*
- * 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) (void)(x)
-#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) \
-void name##_RB_INSERT_COLOR(struct name *, struct type *); \
-void name##_RB_REMOVE_COLOR(struct name *, struct type *, struct type *);\
-struct type *name##_RB_REMOVE(struct name *, struct type *); \
-struct type *name##_RB_INSERT(struct name *, struct type *); \
-struct type *name##_RB_FIND(struct name *, struct type *); \
-struct type *name##_RB_NEXT(struct type *); \
-struct type *name##_RB_MINMAX(struct name *, int);
-
-/* Generates prototypes (with storage class) and inline functions */
-#define RB_PROTOTYPE_SC(_sc_, name, type, field, cmp) \
-_sc_ void name##_RB_INSERT_COLOR(struct name *, struct type *); \
-_sc_ void name##_RB_REMOVE_COLOR(struct name *, struct type *, struct type *); \
-_sc_ struct type *name##_RB_REMOVE(struct name *, struct type *); \
-_sc_ struct type *name##_RB_INSERT(struct name *, struct type *); \
-_sc_ struct type *name##_RB_FIND(struct name *, struct type *); \
-_sc_ struct type *name##_RB_NEXT(struct type *); \
-_sc_ 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) \
-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; \
-} \
- \
-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; \
-} \
- \
-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 */ \
-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 */ \
-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); \
-} \
- \
-/* ARGSUSED */ \
-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); \
-} \
- \
-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_NEXT(name, x, y) name##_RB_NEXT(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))
-
-#endif /* _SYS_TREE_H_ */
+#include <libkern/tree.h>
projects / apple / xnu.git / blobdiff