we're done with tree.h. long live ht.h.

svn:r5715

src/or/tree.h

@@ -1,678 +0,0 @@
-/*	$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 (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 (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 (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 (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 (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 (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))) {		\
-		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-back 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 (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 (0)
-
-#define RB_SET_BLACKRED(black, red, field) do {				\
-	RB_COLOR(black, field) = RB_BLACK;				\
-	RB_COLOR(red, field) = RB_RED;					\
-} while (0)
-
-#ifndef RB_AUGMENT
-#define RB_AUGMENT(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))) {		\
-		RB_PARENT(RB_LEFT(tmp, field), field) = (elm);		\
-	}								\
-	RB_AUGMENT(elm);						\
-	if ((RB_PARENT(tmp, field) = RB_PARENT(elm, field))) {		\
-		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 (0)
-
-#define RB_ROTATE_RIGHT(head, elm, tmp, field) do {			\
-	(tmp) = RB_LEFT(elm, field);					\
-	if ((RB_LEFT(elm, field) = RB_RIGHT(tmp, field))) {		\
-		RB_PARENT(RB_RIGHT(tmp, field), field) = (elm);		\
-	}								\
-	RB_AUGMENT(elm);						\
-	if ((RB_PARENT(tmp, field) = RB_PARENT(elm, field))) {		\
-		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 (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 name *, struct type *);		\
-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)) &&			\
-	    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)))\
-						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)))\
-						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)))			\
-			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)));	\
-		}							\
-		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);							\
-}									\
-									\
-struct type *								\
-name##_RB_NEXT(struct name *head, 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(x, 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(head, x))
-
-#endif	/* _SYS_TREE_H_ */
-