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+/* $NetBSD: tree.h,v 1.20 2013/09/14 13:20:45 joerg Exp $ */
+/* $OpenBSD: tree.h,v 1.13 2011/07/09 00:19:45 pirofti 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 __unused 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 __unused __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 (/*CONSTCOND*/ 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, __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, __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 /* _SYS_TREE_H_ */
generated by cgit v1.2.1 (git 2.18.0) at 2024-11-01 00:34:12 +0000