| Index: third_party/bsdtrees/tree.h
|
| diff --git a/third_party/bsdtrees/tree.h b/third_party/bsdtrees/tree.h
|
| new file mode 100644
|
| index 0000000000000000000000000000000000000000..818adf0abf231a2f9dcd77613147fea322d12c9b
|
| --- /dev/null
|
| +++ b/third_party/bsdtrees/tree.h
|
| @@ -0,0 +1,748 @@
|
| +/* $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 (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-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 (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) 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))) { \
|
| + 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) \
|
| + RB_PROTOTYPE_INTERNAL(name, type, field, cmp,)
|
| +#define RB_PROTOTYPE_STATIC(name, type, field, cmp) \
|
| + RB_PROTOTYPE_INTERNAL(name, type, field, cmp, __attribute__((__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, __attribute__((__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)) && \
|
| + 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)))\
|
| + 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; \
|
| +} \
|
| + \
|
| +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))) \
|
| + 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 */ \
|
| +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_SAFE(x, name, head, y) \
|
| + for ((x) = RB_MIN(name, head); \
|
| + ((x) != NULL) && ((y) = name##_RB_NEXT(x), 1); \
|
| + (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_SAFE(x, name, head, y) \
|
| + for ((x) = RB_MAX(name, head); \
|
| + ((x) != NULL) && ((y) = name##_RB_PREV(x), 1); \
|
| + (x) = (y))
|
| +
|
| +#endif /* _SYS_TREE_H_ */
|
|
|