1 1a443ec0 2021-07-22 op /* $OpenBSD: tree.h,v 1.30 2020/10/10 18:03:41 otto Exp $ */
3 1a443ec0 2021-07-22 op * Copyright 2002 Niels Provos <provos@citi.umich.edu>
4 1a443ec0 2021-07-22 op * All rights reserved.
6 1a443ec0 2021-07-22 op * Redistribution and use in source and binary forms, with or without
7 1a443ec0 2021-07-22 op * modification, are permitted provided that the following conditions
9 1a443ec0 2021-07-22 op * 1. Redistributions of source code must retain the above copyright
10 1a443ec0 2021-07-22 op * notice, this list of conditions and the following disclaimer.
11 1a443ec0 2021-07-22 op * 2. Redistributions in binary form must reproduce the above copyright
12 1a443ec0 2021-07-22 op * notice, this list of conditions and the following disclaimer in the
13 1a443ec0 2021-07-22 op * documentation and/or other materials provided with the distribution.
15 1a443ec0 2021-07-22 op * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
16 1a443ec0 2021-07-22 op * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
17 1a443ec0 2021-07-22 op * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
18 1a443ec0 2021-07-22 op * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
19 1a443ec0 2021-07-22 op * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
20 1a443ec0 2021-07-22 op * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
21 1a443ec0 2021-07-22 op * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
22 1a443ec0 2021-07-22 op * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
23 1a443ec0 2021-07-22 op * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
24 1a443ec0 2021-07-22 op * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
27 1a443ec0 2021-07-22 op #ifndef _SYS_TREE_H_
28 1a443ec0 2021-07-22 op #define _SYS_TREE_H_
30 1a443ec0 2021-07-22 op #include <stddef.h>
33 27de5ceb 2021-07-22 op * Local modifications:
34 27de5ceb 2021-07-22 op * - dropped __unused
35 27de5ceb 2021-07-22 op * - __inline -> inline
39 1a443ec0 2021-07-22 op * This file defines data structures for different types of trees:
40 1a443ec0 2021-07-22 op * splay trees and red-black trees.
42 1a443ec0 2021-07-22 op * A splay tree is a self-organizing data structure. Every operation
43 1a443ec0 2021-07-22 op * on the tree causes a splay to happen. The splay moves the requested
44 1a443ec0 2021-07-22 op * node to the root of the tree and partly rebalances it.
46 1a443ec0 2021-07-22 op * This has the benefit that request locality causes faster lookups as
47 1a443ec0 2021-07-22 op * the requested nodes move to the top of the tree. On the other hand,
48 1a443ec0 2021-07-22 op * every lookup causes memory writes.
50 1a443ec0 2021-07-22 op * The Balance Theorem bounds the total access time for m operations
51 1a443ec0 2021-07-22 op * and n inserts on an initially empty tree as O((m + n)lg n). The
52 1a443ec0 2021-07-22 op * amortized cost for a sequence of m accesses to a splay tree is O(lg n);
54 1a443ec0 2021-07-22 op * A red-black tree is a binary search tree with the node color as an
55 1a443ec0 2021-07-22 op * extra attribute. It fulfills a set of conditions:
56 1a443ec0 2021-07-22 op * - every search path from the root to a leaf consists of the
57 1a443ec0 2021-07-22 op * same number of black nodes,
58 1a443ec0 2021-07-22 op * - each red node (except for the root) has a black parent,
59 1a443ec0 2021-07-22 op * - each leaf node is black.
61 1a443ec0 2021-07-22 op * Every operation on a red-black tree is bounded as O(lg n).
62 1a443ec0 2021-07-22 op * The maximum height of a red-black tree is 2lg (n+1).
65 1a443ec0 2021-07-22 op #define SPLAY_HEAD(name, type) \
66 1a443ec0 2021-07-22 op struct name { \
67 1a443ec0 2021-07-22 op struct type *sph_root; /* root of the tree */ \
70 1a443ec0 2021-07-22 op #define SPLAY_INITIALIZER(root) \
73 1a443ec0 2021-07-22 op #define SPLAY_INIT(root) do { \
74 1a443ec0 2021-07-22 op (root)->sph_root = NULL; \
77 1a443ec0 2021-07-22 op #define SPLAY_ENTRY(type) \
79 1a443ec0 2021-07-22 op struct type *spe_left; /* left element */ \
80 1a443ec0 2021-07-22 op struct type *spe_right; /* right element */ \
83 1a443ec0 2021-07-22 op #define SPLAY_LEFT(elm, field) (elm)->field.spe_left
84 1a443ec0 2021-07-22 op #define SPLAY_RIGHT(elm, field) (elm)->field.spe_right
85 1a443ec0 2021-07-22 op #define SPLAY_ROOT(head) (head)->sph_root
86 1a443ec0 2021-07-22 op #define SPLAY_EMPTY(head) (SPLAY_ROOT(head) == NULL)
88 1a443ec0 2021-07-22 op /* SPLAY_ROTATE_{LEFT,RIGHT} expect that tmp hold SPLAY_{RIGHT,LEFT} */
89 1a443ec0 2021-07-22 op #define SPLAY_ROTATE_RIGHT(head, tmp, field) do { \
90 1a443ec0 2021-07-22 op SPLAY_LEFT((head)->sph_root, field) = SPLAY_RIGHT(tmp, field); \
91 1a443ec0 2021-07-22 op SPLAY_RIGHT(tmp, field) = (head)->sph_root; \
92 1a443ec0 2021-07-22 op (head)->sph_root = tmp; \
95 1a443ec0 2021-07-22 op #define SPLAY_ROTATE_LEFT(head, tmp, field) do { \
96 1a443ec0 2021-07-22 op SPLAY_RIGHT((head)->sph_root, field) = SPLAY_LEFT(tmp, field); \
97 1a443ec0 2021-07-22 op SPLAY_LEFT(tmp, field) = (head)->sph_root; \
98 1a443ec0 2021-07-22 op (head)->sph_root = tmp; \
101 1a443ec0 2021-07-22 op #define SPLAY_LINKLEFT(head, tmp, field) do { \
102 1a443ec0 2021-07-22 op SPLAY_LEFT(tmp, field) = (head)->sph_root; \
103 1a443ec0 2021-07-22 op tmp = (head)->sph_root; \
104 1a443ec0 2021-07-22 op (head)->sph_root = SPLAY_LEFT((head)->sph_root, field); \
107 1a443ec0 2021-07-22 op #define SPLAY_LINKRIGHT(head, tmp, field) do { \
108 1a443ec0 2021-07-22 op SPLAY_RIGHT(tmp, field) = (head)->sph_root; \
109 1a443ec0 2021-07-22 op tmp = (head)->sph_root; \
110 1a443ec0 2021-07-22 op (head)->sph_root = SPLAY_RIGHT((head)->sph_root, field); \
113 1a443ec0 2021-07-22 op #define SPLAY_ASSEMBLE(head, node, left, right, field) do { \
114 1a443ec0 2021-07-22 op SPLAY_RIGHT(left, field) = SPLAY_LEFT((head)->sph_root, field); \
115 1a443ec0 2021-07-22 op SPLAY_LEFT(right, field) = SPLAY_RIGHT((head)->sph_root, field);\
116 1a443ec0 2021-07-22 op SPLAY_LEFT((head)->sph_root, field) = SPLAY_RIGHT(node, field); \
117 1a443ec0 2021-07-22 op SPLAY_RIGHT((head)->sph_root, field) = SPLAY_LEFT(node, field); \
120 1a443ec0 2021-07-22 op /* Generates prototypes and inline functions */
122 1a443ec0 2021-07-22 op #define SPLAY_PROTOTYPE(name, type, field, cmp) \
123 1a443ec0 2021-07-22 op void name##_SPLAY(struct name *, struct type *); \
124 1a443ec0 2021-07-22 op void name##_SPLAY_MINMAX(struct name *, int); \
125 1a443ec0 2021-07-22 op struct type *name##_SPLAY_INSERT(struct name *, struct type *); \
126 1a443ec0 2021-07-22 op struct type *name##_SPLAY_REMOVE(struct name *, struct type *); \
128 1a443ec0 2021-07-22 op /* Finds the node with the same key as elm */ \
129 27de5ceb 2021-07-22 op static inline struct type * \
130 1a443ec0 2021-07-22 op name##_SPLAY_FIND(struct name *head, struct type *elm) \
132 1a443ec0 2021-07-22 op if (SPLAY_EMPTY(head)) \
133 1a443ec0 2021-07-22 op return(NULL); \
134 1a443ec0 2021-07-22 op name##_SPLAY(head, elm); \
135 1a443ec0 2021-07-22 op if ((cmp)(elm, (head)->sph_root) == 0) \
136 1a443ec0 2021-07-22 op return (head->sph_root); \
137 1a443ec0 2021-07-22 op return (NULL); \
140 27de5ceb 2021-07-22 op static inline struct type * \
141 1a443ec0 2021-07-22 op name##_SPLAY_NEXT(struct name *head, struct type *elm) \
143 1a443ec0 2021-07-22 op name##_SPLAY(head, elm); \
144 1a443ec0 2021-07-22 op if (SPLAY_RIGHT(elm, field) != NULL) { \
145 1a443ec0 2021-07-22 op elm = SPLAY_RIGHT(elm, field); \
146 1a443ec0 2021-07-22 op while (SPLAY_LEFT(elm, field) != NULL) { \
147 1a443ec0 2021-07-22 op elm = SPLAY_LEFT(elm, field); \
150 1a443ec0 2021-07-22 op elm = NULL; \
151 1a443ec0 2021-07-22 op return (elm); \
154 27de5ceb 2021-07-22 op static inline struct type * \
155 1a443ec0 2021-07-22 op name##_SPLAY_MIN_MAX(struct name *head, int val) \
157 1a443ec0 2021-07-22 op name##_SPLAY_MINMAX(head, val); \
158 1a443ec0 2021-07-22 op return (SPLAY_ROOT(head)); \
161 1a443ec0 2021-07-22 op /* Main splay operation.
162 1a443ec0 2021-07-22 op * Moves node close to the key of elm to top
164 1a443ec0 2021-07-22 op #define SPLAY_GENERATE(name, type, field, cmp) \
165 1a443ec0 2021-07-22 op struct type * \
166 1a443ec0 2021-07-22 op name##_SPLAY_INSERT(struct name *head, struct type *elm) \
168 1a443ec0 2021-07-22 op if (SPLAY_EMPTY(head)) { \
169 1a443ec0 2021-07-22 op SPLAY_LEFT(elm, field) = SPLAY_RIGHT(elm, field) = NULL; \
171 1a443ec0 2021-07-22 op int __comp; \
172 1a443ec0 2021-07-22 op name##_SPLAY(head, elm); \
173 1a443ec0 2021-07-22 op __comp = (cmp)(elm, (head)->sph_root); \
174 1a443ec0 2021-07-22 op if(__comp < 0) { \
175 1a443ec0 2021-07-22 op SPLAY_LEFT(elm, field) = SPLAY_LEFT((head)->sph_root, field);\
176 1a443ec0 2021-07-22 op SPLAY_RIGHT(elm, field) = (head)->sph_root; \
177 1a443ec0 2021-07-22 op SPLAY_LEFT((head)->sph_root, field) = NULL; \
178 1a443ec0 2021-07-22 op } else if (__comp > 0) { \
179 1a443ec0 2021-07-22 op SPLAY_RIGHT(elm, field) = SPLAY_RIGHT((head)->sph_root, field);\
180 1a443ec0 2021-07-22 op SPLAY_LEFT(elm, field) = (head)->sph_root; \
181 1a443ec0 2021-07-22 op SPLAY_RIGHT((head)->sph_root, field) = NULL; \
183 1a443ec0 2021-07-22 op return ((head)->sph_root); \
185 1a443ec0 2021-07-22 op (head)->sph_root = (elm); \
186 1a443ec0 2021-07-22 op return (NULL); \
189 1a443ec0 2021-07-22 op struct type * \
190 1a443ec0 2021-07-22 op name##_SPLAY_REMOVE(struct name *head, struct type *elm) \
192 1a443ec0 2021-07-22 op struct type *__tmp; \
193 1a443ec0 2021-07-22 op if (SPLAY_EMPTY(head)) \
194 1a443ec0 2021-07-22 op return (NULL); \
195 1a443ec0 2021-07-22 op name##_SPLAY(head, elm); \
196 1a443ec0 2021-07-22 op if ((cmp)(elm, (head)->sph_root) == 0) { \
197 1a443ec0 2021-07-22 op if (SPLAY_LEFT((head)->sph_root, field) == NULL) { \
198 1a443ec0 2021-07-22 op (head)->sph_root = SPLAY_RIGHT((head)->sph_root, field);\
200 1a443ec0 2021-07-22 op __tmp = SPLAY_RIGHT((head)->sph_root, field); \
201 1a443ec0 2021-07-22 op (head)->sph_root = SPLAY_LEFT((head)->sph_root, field);\
202 1a443ec0 2021-07-22 op name##_SPLAY(head, elm); \
203 1a443ec0 2021-07-22 op SPLAY_RIGHT((head)->sph_root, field) = __tmp; \
205 1a443ec0 2021-07-22 op return (elm); \
207 1a443ec0 2021-07-22 op return (NULL); \
211 1a443ec0 2021-07-22 op name##_SPLAY(struct name *head, struct type *elm) \
213 1a443ec0 2021-07-22 op struct type __node, *__left, *__right, *__tmp; \
214 1a443ec0 2021-07-22 op int __comp; \
216 1a443ec0 2021-07-22 op SPLAY_LEFT(&__node, field) = SPLAY_RIGHT(&__node, field) = NULL;\
217 1a443ec0 2021-07-22 op __left = __right = &__node; \
219 1a443ec0 2021-07-22 op while ((__comp = (cmp)(elm, (head)->sph_root))) { \
220 1a443ec0 2021-07-22 op if (__comp < 0) { \
221 1a443ec0 2021-07-22 op __tmp = SPLAY_LEFT((head)->sph_root, field); \
222 1a443ec0 2021-07-22 op if (__tmp == NULL) \
224 1a443ec0 2021-07-22 op if ((cmp)(elm, __tmp) < 0){ \
225 1a443ec0 2021-07-22 op SPLAY_ROTATE_RIGHT(head, __tmp, field); \
226 1a443ec0 2021-07-22 op if (SPLAY_LEFT((head)->sph_root, field) == NULL)\
229 1a443ec0 2021-07-22 op SPLAY_LINKLEFT(head, __right, field); \
230 1a443ec0 2021-07-22 op } else if (__comp > 0) { \
231 1a443ec0 2021-07-22 op __tmp = SPLAY_RIGHT((head)->sph_root, field); \
232 1a443ec0 2021-07-22 op if (__tmp == NULL) \
234 1a443ec0 2021-07-22 op if ((cmp)(elm, __tmp) > 0){ \
235 1a443ec0 2021-07-22 op SPLAY_ROTATE_LEFT(head, __tmp, field); \
236 1a443ec0 2021-07-22 op if (SPLAY_RIGHT((head)->sph_root, field) == NULL)\
239 1a443ec0 2021-07-22 op SPLAY_LINKRIGHT(head, __left, field); \
242 1a443ec0 2021-07-22 op SPLAY_ASSEMBLE(head, &__node, __left, __right, field); \
245 1a443ec0 2021-07-22 op /* Splay with either the minimum or the maximum element \
246 1a443ec0 2021-07-22 op * Used to find minimum or maximum element in tree. \
248 1a443ec0 2021-07-22 op void name##_SPLAY_MINMAX(struct name *head, int __comp) \
250 1a443ec0 2021-07-22 op struct type __node, *__left, *__right, *__tmp; \
252 1a443ec0 2021-07-22 op SPLAY_LEFT(&__node, field) = SPLAY_RIGHT(&__node, field) = NULL;\
253 1a443ec0 2021-07-22 op __left = __right = &__node; \
255 1a443ec0 2021-07-22 op while (1) { \
256 1a443ec0 2021-07-22 op if (__comp < 0) { \
257 1a443ec0 2021-07-22 op __tmp = SPLAY_LEFT((head)->sph_root, field); \
258 1a443ec0 2021-07-22 op if (__tmp == NULL) \
260 1a443ec0 2021-07-22 op if (__comp < 0){ \
261 1a443ec0 2021-07-22 op SPLAY_ROTATE_RIGHT(head, __tmp, field); \
262 1a443ec0 2021-07-22 op if (SPLAY_LEFT((head)->sph_root, field) == NULL)\
265 1a443ec0 2021-07-22 op SPLAY_LINKLEFT(head, __right, field); \
266 1a443ec0 2021-07-22 op } else if (__comp > 0) { \
267 1a443ec0 2021-07-22 op __tmp = SPLAY_RIGHT((head)->sph_root, field); \
268 1a443ec0 2021-07-22 op if (__tmp == NULL) \
270 1a443ec0 2021-07-22 op if (__comp > 0) { \
271 1a443ec0 2021-07-22 op SPLAY_ROTATE_LEFT(head, __tmp, field); \
272 1a443ec0 2021-07-22 op if (SPLAY_RIGHT((head)->sph_root, field) == NULL)\
275 1a443ec0 2021-07-22 op SPLAY_LINKRIGHT(head, __left, field); \
278 1a443ec0 2021-07-22 op SPLAY_ASSEMBLE(head, &__node, __left, __right, field); \
281 1a443ec0 2021-07-22 op #define SPLAY_NEGINF -1
282 1a443ec0 2021-07-22 op #define SPLAY_INF 1
284 1a443ec0 2021-07-22 op #define SPLAY_INSERT(name, x, y) name##_SPLAY_INSERT(x, y)
285 1a443ec0 2021-07-22 op #define SPLAY_REMOVE(name, x, y) name##_SPLAY_REMOVE(x, y)
286 1a443ec0 2021-07-22 op #define SPLAY_FIND(name, x, y) name##_SPLAY_FIND(x, y)
287 1a443ec0 2021-07-22 op #define SPLAY_NEXT(name, x, y) name##_SPLAY_NEXT(x, y)
288 1a443ec0 2021-07-22 op #define SPLAY_MIN(name, x) (SPLAY_EMPTY(x) ? NULL \
289 1a443ec0 2021-07-22 op : name##_SPLAY_MIN_MAX(x, SPLAY_NEGINF))
290 1a443ec0 2021-07-22 op #define SPLAY_MAX(name, x) (SPLAY_EMPTY(x) ? NULL \
291 1a443ec0 2021-07-22 op : name##_SPLAY_MIN_MAX(x, SPLAY_INF))
293 1a443ec0 2021-07-22 op #define SPLAY_FOREACH(x, name, head) \
294 1a443ec0 2021-07-22 op for ((x) = SPLAY_MIN(name, head); \
295 1a443ec0 2021-07-22 op (x) != NULL; \
296 1a443ec0 2021-07-22 op (x) = SPLAY_NEXT(name, head, x))
298 1a443ec0 2021-07-22 op /* Macros that define a red-black tree */
299 1a443ec0 2021-07-22 op #define RB_HEAD(name, type) \
300 1a443ec0 2021-07-22 op struct name { \
301 1a443ec0 2021-07-22 op struct type *rbh_root; /* root of the tree */ \
304 1a443ec0 2021-07-22 op #define RB_INITIALIZER(root) \
307 1a443ec0 2021-07-22 op #define RB_INIT(root) do { \
308 1a443ec0 2021-07-22 op (root)->rbh_root = NULL; \
311 1a443ec0 2021-07-22 op #define RB_BLACK 0
312 1a443ec0 2021-07-22 op #define RB_RED 1
313 1a443ec0 2021-07-22 op #define RB_ENTRY(type) \
315 1a443ec0 2021-07-22 op struct type *rbe_left; /* left element */ \
316 1a443ec0 2021-07-22 op struct type *rbe_right; /* right element */ \
317 1a443ec0 2021-07-22 op struct type *rbe_parent; /* parent element */ \
318 1a443ec0 2021-07-22 op int rbe_color; /* node color */ \
321 1a443ec0 2021-07-22 op #define RB_LEFT(elm, field) (elm)->field.rbe_left
322 1a443ec0 2021-07-22 op #define RB_RIGHT(elm, field) (elm)->field.rbe_right
323 1a443ec0 2021-07-22 op #define RB_PARENT(elm, field) (elm)->field.rbe_parent
324 1a443ec0 2021-07-22 op #define RB_COLOR(elm, field) (elm)->field.rbe_color
325 1a443ec0 2021-07-22 op #define RB_ROOT(head) (head)->rbh_root
326 1a443ec0 2021-07-22 op #define RB_EMPTY(head) (RB_ROOT(head) == NULL)
328 1a443ec0 2021-07-22 op #define RB_SET(elm, parent, field) do { \
329 1a443ec0 2021-07-22 op RB_PARENT(elm, field) = parent; \
330 1a443ec0 2021-07-22 op RB_LEFT(elm, field) = RB_RIGHT(elm, field) = NULL; \
331 1a443ec0 2021-07-22 op RB_COLOR(elm, field) = RB_RED; \
334 1a443ec0 2021-07-22 op #define RB_SET_BLACKRED(black, red, field) do { \
335 1a443ec0 2021-07-22 op RB_COLOR(black, field) = RB_BLACK; \
336 1a443ec0 2021-07-22 op RB_COLOR(red, field) = RB_RED; \
339 1a443ec0 2021-07-22 op #ifndef RB_AUGMENT
340 1a443ec0 2021-07-22 op #define RB_AUGMENT(x) do {} while (0)
343 1a443ec0 2021-07-22 op #define RB_ROTATE_LEFT(head, elm, tmp, field) do { \
344 1a443ec0 2021-07-22 op (tmp) = RB_RIGHT(elm, field); \
345 1a443ec0 2021-07-22 op if ((RB_RIGHT(elm, field) = RB_LEFT(tmp, field))) { \
346 1a443ec0 2021-07-22 op RB_PARENT(RB_LEFT(tmp, field), field) = (elm); \
348 1a443ec0 2021-07-22 op RB_AUGMENT(elm); \
349 1a443ec0 2021-07-22 op if ((RB_PARENT(tmp, field) = RB_PARENT(elm, field))) { \
350 1a443ec0 2021-07-22 op if ((elm) == RB_LEFT(RB_PARENT(elm, field), field)) \
351 1a443ec0 2021-07-22 op RB_LEFT(RB_PARENT(elm, field), field) = (tmp); \
353 1a443ec0 2021-07-22 op RB_RIGHT(RB_PARENT(elm, field), field) = (tmp); \
355 1a443ec0 2021-07-22 op (head)->rbh_root = (tmp); \
356 1a443ec0 2021-07-22 op RB_LEFT(tmp, field) = (elm); \
357 1a443ec0 2021-07-22 op RB_PARENT(elm, field) = (tmp); \
358 1a443ec0 2021-07-22 op RB_AUGMENT(tmp); \
359 1a443ec0 2021-07-22 op if ((RB_PARENT(tmp, field))) \
360 1a443ec0 2021-07-22 op RB_AUGMENT(RB_PARENT(tmp, field)); \
363 1a443ec0 2021-07-22 op #define RB_ROTATE_RIGHT(head, elm, tmp, field) do { \
364 1a443ec0 2021-07-22 op (tmp) = RB_LEFT(elm, field); \
365 1a443ec0 2021-07-22 op if ((RB_LEFT(elm, field) = RB_RIGHT(tmp, field))) { \
366 1a443ec0 2021-07-22 op RB_PARENT(RB_RIGHT(tmp, field), field) = (elm); \
368 1a443ec0 2021-07-22 op RB_AUGMENT(elm); \
369 1a443ec0 2021-07-22 op if ((RB_PARENT(tmp, field) = RB_PARENT(elm, field))) { \
370 1a443ec0 2021-07-22 op if ((elm) == RB_LEFT(RB_PARENT(elm, field), field)) \
371 1a443ec0 2021-07-22 op RB_LEFT(RB_PARENT(elm, field), field) = (tmp); \
373 1a443ec0 2021-07-22 op RB_RIGHT(RB_PARENT(elm, field), field) = (tmp); \
375 1a443ec0 2021-07-22 op (head)->rbh_root = (tmp); \
376 1a443ec0 2021-07-22 op RB_RIGHT(tmp, field) = (elm); \
377 1a443ec0 2021-07-22 op RB_PARENT(elm, field) = (tmp); \
378 1a443ec0 2021-07-22 op RB_AUGMENT(tmp); \
379 1a443ec0 2021-07-22 op if ((RB_PARENT(tmp, field))) \
380 1a443ec0 2021-07-22 op RB_AUGMENT(RB_PARENT(tmp, field)); \
383 1a443ec0 2021-07-22 op /* Generates prototypes and inline functions */
384 1a443ec0 2021-07-22 op #define RB_PROTOTYPE(name, type, field, cmp) \
385 1a443ec0 2021-07-22 op RB_PROTOTYPE_INTERNAL(name, type, field, cmp,)
386 1a443ec0 2021-07-22 op #define RB_PROTOTYPE_STATIC(name, type, field, cmp) \
387 1a443ec0 2021-07-22 op RB_PROTOTYPE_INTERNAL(name, type, field, cmp, __attribute__((__unused__)) static)
388 1a443ec0 2021-07-22 op #define RB_PROTOTYPE_INTERNAL(name, type, field, cmp, attr) \
389 1a443ec0 2021-07-22 op attr void name##_RB_INSERT_COLOR(struct name *, struct type *); \
390 1a443ec0 2021-07-22 op attr void name##_RB_REMOVE_COLOR(struct name *, struct type *, struct type *);\
391 1a443ec0 2021-07-22 op attr struct type *name##_RB_REMOVE(struct name *, struct type *); \
392 1a443ec0 2021-07-22 op attr struct type *name##_RB_INSERT(struct name *, struct type *); \
393 1a443ec0 2021-07-22 op attr struct type *name##_RB_FIND(struct name *, struct type *); \
394 1a443ec0 2021-07-22 op attr struct type *name##_RB_NFIND(struct name *, struct type *); \
395 1a443ec0 2021-07-22 op attr struct type *name##_RB_NEXT(struct type *); \
396 1a443ec0 2021-07-22 op attr struct type *name##_RB_PREV(struct type *); \
397 1a443ec0 2021-07-22 op attr struct type *name##_RB_MINMAX(struct name *, int); \
400 1a443ec0 2021-07-22 op /* Main rb operation.
401 1a443ec0 2021-07-22 op * Moves node close to the key of elm to top
403 1a443ec0 2021-07-22 op #define RB_GENERATE(name, type, field, cmp) \
404 1a443ec0 2021-07-22 op RB_GENERATE_INTERNAL(name, type, field, cmp,)
405 1a443ec0 2021-07-22 op #define RB_GENERATE_STATIC(name, type, field, cmp) \
406 1a443ec0 2021-07-22 op RB_GENERATE_INTERNAL(name, type, field, cmp, __attribute__((__unused__)) static)
407 1a443ec0 2021-07-22 op #define RB_GENERATE_INTERNAL(name, type, field, cmp, attr) \
409 1a443ec0 2021-07-22 op name##_RB_INSERT_COLOR(struct name *head, struct type *elm) \
411 1a443ec0 2021-07-22 op struct type *parent, *gparent, *tmp; \
412 1a443ec0 2021-07-22 op while ((parent = RB_PARENT(elm, field)) && \
413 1a443ec0 2021-07-22 op RB_COLOR(parent, field) == RB_RED) { \
414 1a443ec0 2021-07-22 op gparent = RB_PARENT(parent, field); \
415 1a443ec0 2021-07-22 op if (parent == RB_LEFT(gparent, field)) { \
416 1a443ec0 2021-07-22 op tmp = RB_RIGHT(gparent, field); \
417 1a443ec0 2021-07-22 op if (tmp && RB_COLOR(tmp, field) == RB_RED) { \
418 1a443ec0 2021-07-22 op RB_COLOR(tmp, field) = RB_BLACK; \
419 1a443ec0 2021-07-22 op RB_SET_BLACKRED(parent, gparent, field);\
420 1a443ec0 2021-07-22 op elm = gparent; \
423 1a443ec0 2021-07-22 op if (RB_RIGHT(parent, field) == elm) { \
424 1a443ec0 2021-07-22 op RB_ROTATE_LEFT(head, parent, tmp, field);\
425 1a443ec0 2021-07-22 op tmp = parent; \
426 1a443ec0 2021-07-22 op parent = elm; \
429 1a443ec0 2021-07-22 op RB_SET_BLACKRED(parent, gparent, field); \
430 1a443ec0 2021-07-22 op RB_ROTATE_RIGHT(head, gparent, tmp, field); \
432 1a443ec0 2021-07-22 op tmp = RB_LEFT(gparent, field); \
433 1a443ec0 2021-07-22 op if (tmp && RB_COLOR(tmp, field) == RB_RED) { \
434 1a443ec0 2021-07-22 op RB_COLOR(tmp, field) = RB_BLACK; \
435 1a443ec0 2021-07-22 op RB_SET_BLACKRED(parent, gparent, field);\
436 1a443ec0 2021-07-22 op elm = gparent; \
439 1a443ec0 2021-07-22 op if (RB_LEFT(parent, field) == elm) { \
440 1a443ec0 2021-07-22 op RB_ROTATE_RIGHT(head, parent, tmp, field);\
441 1a443ec0 2021-07-22 op tmp = parent; \
442 1a443ec0 2021-07-22 op parent = elm; \
445 1a443ec0 2021-07-22 op RB_SET_BLACKRED(parent, gparent, field); \
446 1a443ec0 2021-07-22 op RB_ROTATE_LEFT(head, gparent, tmp, field); \
449 1a443ec0 2021-07-22 op RB_COLOR(head->rbh_root, field) = RB_BLACK; \
453 1a443ec0 2021-07-22 op name##_RB_REMOVE_COLOR(struct name *head, struct type *parent, struct type *elm) \
455 1a443ec0 2021-07-22 op struct type *tmp; \
456 1a443ec0 2021-07-22 op while ((elm == NULL || RB_COLOR(elm, field) == RB_BLACK) && \
457 1a443ec0 2021-07-22 op elm != RB_ROOT(head)) { \
458 1a443ec0 2021-07-22 op if (RB_LEFT(parent, field) == elm) { \
459 1a443ec0 2021-07-22 op tmp = RB_RIGHT(parent, field); \
460 1a443ec0 2021-07-22 op if (RB_COLOR(tmp, field) == RB_RED) { \
461 1a443ec0 2021-07-22 op RB_SET_BLACKRED(tmp, parent, field); \
462 1a443ec0 2021-07-22 op RB_ROTATE_LEFT(head, parent, tmp, field);\
463 1a443ec0 2021-07-22 op tmp = RB_RIGHT(parent, field); \
465 1a443ec0 2021-07-22 op if ((RB_LEFT(tmp, field) == NULL || \
466 1a443ec0 2021-07-22 op RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) &&\
467 1a443ec0 2021-07-22 op (RB_RIGHT(tmp, field) == NULL || \
468 1a443ec0 2021-07-22 op RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK)) {\
469 1a443ec0 2021-07-22 op RB_COLOR(tmp, field) = RB_RED; \
470 1a443ec0 2021-07-22 op elm = parent; \
471 1a443ec0 2021-07-22 op parent = RB_PARENT(elm, field); \
473 1a443ec0 2021-07-22 op if (RB_RIGHT(tmp, field) == NULL || \
474 1a443ec0 2021-07-22 op RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK) {\
475 1a443ec0 2021-07-22 op struct type *oleft; \
476 1a443ec0 2021-07-22 op if ((oleft = RB_LEFT(tmp, field)))\
477 1a443ec0 2021-07-22 op RB_COLOR(oleft, field) = RB_BLACK;\
478 1a443ec0 2021-07-22 op RB_COLOR(tmp, field) = RB_RED; \
479 1a443ec0 2021-07-22 op RB_ROTATE_RIGHT(head, tmp, oleft, field);\
480 1a443ec0 2021-07-22 op tmp = RB_RIGHT(parent, field); \
482 1a443ec0 2021-07-22 op RB_COLOR(tmp, field) = RB_COLOR(parent, field);\
483 1a443ec0 2021-07-22 op RB_COLOR(parent, field) = RB_BLACK; \
484 1a443ec0 2021-07-22 op if (RB_RIGHT(tmp, field)) \
485 1a443ec0 2021-07-22 op RB_COLOR(RB_RIGHT(tmp, field), field) = RB_BLACK;\
486 1a443ec0 2021-07-22 op RB_ROTATE_LEFT(head, parent, tmp, field);\
487 1a443ec0 2021-07-22 op elm = RB_ROOT(head); \
491 1a443ec0 2021-07-22 op tmp = RB_LEFT(parent, field); \
492 1a443ec0 2021-07-22 op if (RB_COLOR(tmp, field) == RB_RED) { \
493 1a443ec0 2021-07-22 op RB_SET_BLACKRED(tmp, parent, field); \
494 1a443ec0 2021-07-22 op RB_ROTATE_RIGHT(head, parent, tmp, field);\
495 1a443ec0 2021-07-22 op tmp = RB_LEFT(parent, field); \
497 1a443ec0 2021-07-22 op if ((RB_LEFT(tmp, field) == NULL || \
498 1a443ec0 2021-07-22 op RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) &&\
499 1a443ec0 2021-07-22 op (RB_RIGHT(tmp, field) == NULL || \
500 1a443ec0 2021-07-22 op RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK)) {\
501 1a443ec0 2021-07-22 op RB_COLOR(tmp, field) = RB_RED; \
502 1a443ec0 2021-07-22 op elm = parent; \
503 1a443ec0 2021-07-22 op parent = RB_PARENT(elm, field); \
505 1a443ec0 2021-07-22 op if (RB_LEFT(tmp, field) == NULL || \
506 1a443ec0 2021-07-22 op RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) {\
507 1a443ec0 2021-07-22 op struct type *oright; \
508 1a443ec0 2021-07-22 op if ((oright = RB_RIGHT(tmp, field)))\
509 1a443ec0 2021-07-22 op RB_COLOR(oright, field) = RB_BLACK;\
510 1a443ec0 2021-07-22 op RB_COLOR(tmp, field) = RB_RED; \
511 1a443ec0 2021-07-22 op RB_ROTATE_LEFT(head, tmp, oright, field);\
512 1a443ec0 2021-07-22 op tmp = RB_LEFT(parent, field); \
514 1a443ec0 2021-07-22 op RB_COLOR(tmp, field) = RB_COLOR(parent, field);\
515 1a443ec0 2021-07-22 op RB_COLOR(parent, field) = RB_BLACK; \
516 1a443ec0 2021-07-22 op if (RB_LEFT(tmp, field)) \
517 1a443ec0 2021-07-22 op RB_COLOR(RB_LEFT(tmp, field), field) = RB_BLACK;\
518 1a443ec0 2021-07-22 op RB_ROTATE_RIGHT(head, parent, tmp, field);\
519 1a443ec0 2021-07-22 op elm = RB_ROOT(head); \
525 1a443ec0 2021-07-22 op RB_COLOR(elm, field) = RB_BLACK; \
528 1a443ec0 2021-07-22 op attr struct type * \
529 1a443ec0 2021-07-22 op name##_RB_REMOVE(struct name *head, struct type *elm) \
531 1a443ec0 2021-07-22 op struct type *child, *parent, *old = elm; \
533 1a443ec0 2021-07-22 op if (RB_LEFT(elm, field) == NULL) \
534 1a443ec0 2021-07-22 op child = RB_RIGHT(elm, field); \
535 1a443ec0 2021-07-22 op else if (RB_RIGHT(elm, field) == NULL) \
536 1a443ec0 2021-07-22 op child = RB_LEFT(elm, field); \
538 1a443ec0 2021-07-22 op struct type *left; \
539 1a443ec0 2021-07-22 op elm = RB_RIGHT(elm, field); \
540 1a443ec0 2021-07-22 op while ((left = RB_LEFT(elm, field))) \
541 1a443ec0 2021-07-22 op elm = left; \
542 1a443ec0 2021-07-22 op child = RB_RIGHT(elm, field); \
543 1a443ec0 2021-07-22 op parent = RB_PARENT(elm, field); \
544 1a443ec0 2021-07-22 op color = RB_COLOR(elm, field); \
546 1a443ec0 2021-07-22 op RB_PARENT(child, field) = parent; \
547 1a443ec0 2021-07-22 op if (parent) { \
548 1a443ec0 2021-07-22 op if (RB_LEFT(parent, field) == elm) \
549 1a443ec0 2021-07-22 op RB_LEFT(parent, field) = child; \
551 1a443ec0 2021-07-22 op RB_RIGHT(parent, field) = child; \
552 1a443ec0 2021-07-22 op RB_AUGMENT(parent); \
554 1a443ec0 2021-07-22 op RB_ROOT(head) = child; \
555 1a443ec0 2021-07-22 op if (RB_PARENT(elm, field) == old) \
556 1a443ec0 2021-07-22 op parent = elm; \
557 1a443ec0 2021-07-22 op (elm)->field = (old)->field; \
558 1a443ec0 2021-07-22 op if (RB_PARENT(old, field)) { \
559 1a443ec0 2021-07-22 op if (RB_LEFT(RB_PARENT(old, field), field) == old)\
560 1a443ec0 2021-07-22 op RB_LEFT(RB_PARENT(old, field), field) = elm;\
562 1a443ec0 2021-07-22 op RB_RIGHT(RB_PARENT(old, field), field) = elm;\
563 1a443ec0 2021-07-22 op RB_AUGMENT(RB_PARENT(old, field)); \
565 1a443ec0 2021-07-22 op RB_ROOT(head) = elm; \
566 1a443ec0 2021-07-22 op RB_PARENT(RB_LEFT(old, field), field) = elm; \
567 1a443ec0 2021-07-22 op if (RB_RIGHT(old, field)) \
568 1a443ec0 2021-07-22 op RB_PARENT(RB_RIGHT(old, field), field) = elm; \
569 1a443ec0 2021-07-22 op if (parent) { \
570 1a443ec0 2021-07-22 op left = parent; \
572 1a443ec0 2021-07-22 op RB_AUGMENT(left); \
573 1a443ec0 2021-07-22 op } while ((left = RB_PARENT(left, field))); \
575 1a443ec0 2021-07-22 op goto color; \
577 1a443ec0 2021-07-22 op parent = RB_PARENT(elm, field); \
578 1a443ec0 2021-07-22 op color = RB_COLOR(elm, field); \
580 1a443ec0 2021-07-22 op RB_PARENT(child, field) = parent; \
581 1a443ec0 2021-07-22 op if (parent) { \
582 1a443ec0 2021-07-22 op if (RB_LEFT(parent, field) == elm) \
583 1a443ec0 2021-07-22 op RB_LEFT(parent, field) = child; \
585 1a443ec0 2021-07-22 op RB_RIGHT(parent, field) = child; \
586 1a443ec0 2021-07-22 op RB_AUGMENT(parent); \
588 1a443ec0 2021-07-22 op RB_ROOT(head) = child; \
590 1a443ec0 2021-07-22 op if (color == RB_BLACK) \
591 1a443ec0 2021-07-22 op name##_RB_REMOVE_COLOR(head, parent, child); \
592 1a443ec0 2021-07-22 op return (old); \
595 1a443ec0 2021-07-22 op /* Inserts a node into the RB tree */ \
596 1a443ec0 2021-07-22 op attr struct type * \
597 1a443ec0 2021-07-22 op name##_RB_INSERT(struct name *head, struct type *elm) \
599 1a443ec0 2021-07-22 op struct type *tmp; \
600 1a443ec0 2021-07-22 op struct type *parent = NULL; \
601 1a443ec0 2021-07-22 op int comp = 0; \
602 1a443ec0 2021-07-22 op tmp = RB_ROOT(head); \
603 1a443ec0 2021-07-22 op while (tmp) { \
604 1a443ec0 2021-07-22 op parent = tmp; \
605 1a443ec0 2021-07-22 op comp = (cmp)(elm, parent); \
606 1a443ec0 2021-07-22 op if (comp < 0) \
607 1a443ec0 2021-07-22 op tmp = RB_LEFT(tmp, field); \
608 1a443ec0 2021-07-22 op else if (comp > 0) \
609 1a443ec0 2021-07-22 op tmp = RB_RIGHT(tmp, field); \
611 1a443ec0 2021-07-22 op return (tmp); \
613 1a443ec0 2021-07-22 op RB_SET(elm, parent, field); \
614 1a443ec0 2021-07-22 op if (parent != NULL) { \
615 1a443ec0 2021-07-22 op if (comp < 0) \
616 1a443ec0 2021-07-22 op RB_LEFT(parent, field) = elm; \
618 1a443ec0 2021-07-22 op RB_RIGHT(parent, field) = elm; \
619 1a443ec0 2021-07-22 op RB_AUGMENT(parent); \
621 1a443ec0 2021-07-22 op RB_ROOT(head) = elm; \
622 1a443ec0 2021-07-22 op name##_RB_INSERT_COLOR(head, elm); \
623 1a443ec0 2021-07-22 op return (NULL); \
626 1a443ec0 2021-07-22 op /* Finds the node with the same key as elm */ \
627 1a443ec0 2021-07-22 op attr struct type * \
628 1a443ec0 2021-07-22 op name##_RB_FIND(struct name *head, struct type *elm) \
630 1a443ec0 2021-07-22 op struct type *tmp = RB_ROOT(head); \
632 1a443ec0 2021-07-22 op while (tmp) { \
633 1a443ec0 2021-07-22 op comp = cmp(elm, tmp); \
634 1a443ec0 2021-07-22 op if (comp < 0) \
635 1a443ec0 2021-07-22 op tmp = RB_LEFT(tmp, field); \
636 1a443ec0 2021-07-22 op else if (comp > 0) \
637 1a443ec0 2021-07-22 op tmp = RB_RIGHT(tmp, field); \
639 1a443ec0 2021-07-22 op return (tmp); \
641 1a443ec0 2021-07-22 op return (NULL); \
644 1a443ec0 2021-07-22 op /* Finds the first node greater than or equal to the search key */ \
645 1a443ec0 2021-07-22 op attr struct type * \
646 1a443ec0 2021-07-22 op name##_RB_NFIND(struct name *head, struct type *elm) \
648 1a443ec0 2021-07-22 op struct type *tmp = RB_ROOT(head); \
649 1a443ec0 2021-07-22 op struct type *res = NULL; \
651 1a443ec0 2021-07-22 op while (tmp) { \
652 1a443ec0 2021-07-22 op comp = cmp(elm, tmp); \
653 1a443ec0 2021-07-22 op if (comp < 0) { \
655 1a443ec0 2021-07-22 op tmp = RB_LEFT(tmp, field); \
657 1a443ec0 2021-07-22 op else if (comp > 0) \
658 1a443ec0 2021-07-22 op tmp = RB_RIGHT(tmp, field); \
660 1a443ec0 2021-07-22 op return (tmp); \
662 1a443ec0 2021-07-22 op return (res); \
665 1a443ec0 2021-07-22 op /* ARGSUSED */ \
666 1a443ec0 2021-07-22 op attr struct type * \
667 1a443ec0 2021-07-22 op name##_RB_NEXT(struct type *elm) \
669 1a443ec0 2021-07-22 op if (RB_RIGHT(elm, field)) { \
670 1a443ec0 2021-07-22 op elm = RB_RIGHT(elm, field); \
671 1a443ec0 2021-07-22 op while (RB_LEFT(elm, field)) \
672 1a443ec0 2021-07-22 op elm = RB_LEFT(elm, field); \
674 1a443ec0 2021-07-22 op if (RB_PARENT(elm, field) && \
675 1a443ec0 2021-07-22 op (elm == RB_LEFT(RB_PARENT(elm, field), field))) \
676 1a443ec0 2021-07-22 op elm = RB_PARENT(elm, field); \
678 1a443ec0 2021-07-22 op while (RB_PARENT(elm, field) && \
679 1a443ec0 2021-07-22 op (elm == RB_RIGHT(RB_PARENT(elm, field), field)))\
680 1a443ec0 2021-07-22 op elm = RB_PARENT(elm, field); \
681 1a443ec0 2021-07-22 op elm = RB_PARENT(elm, field); \
684 1a443ec0 2021-07-22 op return (elm); \
687 1a443ec0 2021-07-22 op /* ARGSUSED */ \
688 1a443ec0 2021-07-22 op attr struct type * \
689 1a443ec0 2021-07-22 op name##_RB_PREV(struct type *elm) \
691 1a443ec0 2021-07-22 op if (RB_LEFT(elm, field)) { \
692 1a443ec0 2021-07-22 op elm = RB_LEFT(elm, field); \
693 1a443ec0 2021-07-22 op while (RB_RIGHT(elm, field)) \
694 1a443ec0 2021-07-22 op elm = RB_RIGHT(elm, field); \
696 1a443ec0 2021-07-22 op if (RB_PARENT(elm, field) && \
697 1a443ec0 2021-07-22 op (elm == RB_RIGHT(RB_PARENT(elm, field), field))) \
698 1a443ec0 2021-07-22 op elm = RB_PARENT(elm, field); \
700 1a443ec0 2021-07-22 op while (RB_PARENT(elm, field) && \
701 1a443ec0 2021-07-22 op (elm == RB_LEFT(RB_PARENT(elm, field), field)))\
702 1a443ec0 2021-07-22 op elm = RB_PARENT(elm, field); \
703 1a443ec0 2021-07-22 op elm = RB_PARENT(elm, field); \
706 1a443ec0 2021-07-22 op return (elm); \
709 1a443ec0 2021-07-22 op attr struct type * \
710 1a443ec0 2021-07-22 op name##_RB_MINMAX(struct name *head, int val) \
712 1a443ec0 2021-07-22 op struct type *tmp = RB_ROOT(head); \
713 1a443ec0 2021-07-22 op struct type *parent = NULL; \
714 1a443ec0 2021-07-22 op while (tmp) { \
715 1a443ec0 2021-07-22 op parent = tmp; \
716 1a443ec0 2021-07-22 op if (val < 0) \
717 1a443ec0 2021-07-22 op tmp = RB_LEFT(tmp, field); \
719 1a443ec0 2021-07-22 op tmp = RB_RIGHT(tmp, field); \
721 1a443ec0 2021-07-22 op return (parent); \
724 1a443ec0 2021-07-22 op #define RB_NEGINF -1
725 1a443ec0 2021-07-22 op #define RB_INF 1
727 1a443ec0 2021-07-22 op #define RB_INSERT(name, x, y) name##_RB_INSERT(x, y)
728 1a443ec0 2021-07-22 op #define RB_REMOVE(name, x, y) name##_RB_REMOVE(x, y)
729 1a443ec0 2021-07-22 op #define RB_FIND(name, x, y) name##_RB_FIND(x, y)
730 1a443ec0 2021-07-22 op #define RB_NFIND(name, x, y) name##_RB_NFIND(x, y)
731 1a443ec0 2021-07-22 op #define RB_NEXT(name, x, y) name##_RB_NEXT(y)
732 1a443ec0 2021-07-22 op #define RB_PREV(name, x, y) name##_RB_PREV(y)
733 1a443ec0 2021-07-22 op #define RB_MIN(name, x) name##_RB_MINMAX(x, RB_NEGINF)
734 1a443ec0 2021-07-22 op #define RB_MAX(name, x) name##_RB_MINMAX(x, RB_INF)
736 1a443ec0 2021-07-22 op #define RB_FOREACH(x, name, head) \
737 1a443ec0 2021-07-22 op for ((x) = RB_MIN(name, head); \
738 1a443ec0 2021-07-22 op (x) != NULL; \
739 1a443ec0 2021-07-22 op (x) = name##_RB_NEXT(x))
741 1a443ec0 2021-07-22 op #define RB_FOREACH_SAFE(x, name, head, y) \
742 1a443ec0 2021-07-22 op for ((x) = RB_MIN(name, head); \
743 1a443ec0 2021-07-22 op ((x) != NULL) && ((y) = name##_RB_NEXT(x), 1); \
746 1a443ec0 2021-07-22 op #define RB_FOREACH_REVERSE(x, name, head) \
747 1a443ec0 2021-07-22 op for ((x) = RB_MAX(name, head); \
748 1a443ec0 2021-07-22 op (x) != NULL; \
749 1a443ec0 2021-07-22 op (x) = name##_RB_PREV(x))
751 1a443ec0 2021-07-22 op #define RB_FOREACH_REVERSE_SAFE(x, name, head, y) \
752 1a443ec0 2021-07-22 op for ((x) = RB_MAX(name, head); \
753 1a443ec0 2021-07-22 op ((x) != NULL) && ((y) = name##_RB_PREV(x), 1); \
758 1a443ec0 2021-07-22 op * Copyright (c) 2016 David Gwynne <dlg@openbsd.org>
760 1a443ec0 2021-07-22 op * Permission to use, copy, modify, and distribute this software for any
761 1a443ec0 2021-07-22 op * purpose with or without fee is hereby granted, provided that the above
762 1a443ec0 2021-07-22 op * copyright notice and this permission notice appear in all copies.
764 1a443ec0 2021-07-22 op * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
765 1a443ec0 2021-07-22 op * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
766 1a443ec0 2021-07-22 op * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
767 1a443ec0 2021-07-22 op * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
768 1a443ec0 2021-07-22 op * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
769 1a443ec0 2021-07-22 op * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
770 1a443ec0 2021-07-22 op * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
773 1a443ec0 2021-07-22 op struct rb_type {
774 1a443ec0 2021-07-22 op int (*t_compare)(const void *, const void *);
775 1a443ec0 2021-07-22 op void (*t_augment)(void *);
776 1a443ec0 2021-07-22 op unsigned int t_offset; /* offset of rb_entry in type */
779 1a443ec0 2021-07-22 op struct rb_tree {
780 1a443ec0 2021-07-22 op struct rb_entry *rbt_root;
783 1a443ec0 2021-07-22 op struct rb_entry {
784 1a443ec0 2021-07-22 op struct rb_entry *rbt_parent;
785 1a443ec0 2021-07-22 op struct rb_entry *rbt_left;
786 1a443ec0 2021-07-22 op struct rb_entry *rbt_right;
787 1a443ec0 2021-07-22 op unsigned int rbt_color;
790 1a443ec0 2021-07-22 op #define RBT_HEAD(_name, _type) \
791 1a443ec0 2021-07-22 op struct _name { \
792 1a443ec0 2021-07-22 op struct rb_tree rbh_root; \
795 1a443ec0 2021-07-22 op #define RBT_ENTRY(_type) struct rb_entry
797 1a443ec0 2021-07-22 op static inline void
798 1a443ec0 2021-07-22 op _rb_init(struct rb_tree *rbt)
800 1a443ec0 2021-07-22 op rbt->rbt_root = NULL;
803 1a443ec0 2021-07-22 op static inline int
804 1a443ec0 2021-07-22 op _rb_empty(struct rb_tree *rbt)
806 1a443ec0 2021-07-22 op return (rbt->rbt_root == NULL);
809 1a443ec0 2021-07-22 op void *_rb_insert(const struct rb_type *, struct rb_tree *, void *);
810 1a443ec0 2021-07-22 op void *_rb_remove(const struct rb_type *, struct rb_tree *, void *);
811 1a443ec0 2021-07-22 op void *_rb_find(const struct rb_type *, struct rb_tree *, const void *);
812 1a443ec0 2021-07-22 op void *_rb_nfind(const struct rb_type *, struct rb_tree *, const void *);
813 1a443ec0 2021-07-22 op void *_rb_root(const struct rb_type *, struct rb_tree *);
814 1a443ec0 2021-07-22 op void *_rb_min(const struct rb_type *, struct rb_tree *);
815 1a443ec0 2021-07-22 op void *_rb_max(const struct rb_type *, struct rb_tree *);
816 1a443ec0 2021-07-22 op void *_rb_next(const struct rb_type *, void *);
817 1a443ec0 2021-07-22 op void *_rb_prev(const struct rb_type *, void *);
818 1a443ec0 2021-07-22 op void *_rb_left(const struct rb_type *, void *);
819 1a443ec0 2021-07-22 op void *_rb_right(const struct rb_type *, void *);
820 1a443ec0 2021-07-22 op void *_rb_parent(const struct rb_type *, void *);
821 1a443ec0 2021-07-22 op void _rb_set_left(const struct rb_type *, void *, void *);
822 1a443ec0 2021-07-22 op void _rb_set_right(const struct rb_type *, void *, void *);
823 1a443ec0 2021-07-22 op void _rb_set_parent(const struct rb_type *, void *, void *);
824 1a443ec0 2021-07-22 op void _rb_poison(const struct rb_type *, void *, unsigned long);
825 1a443ec0 2021-07-22 op int _rb_check(const struct rb_type *, void *, unsigned long);
827 1a443ec0 2021-07-22 op #define RBT_INITIALIZER(_head) { { NULL } }
829 1a443ec0 2021-07-22 op #define RBT_PROTOTYPE(_name, _type, _field, _cmp) \
830 1a443ec0 2021-07-22 op extern const struct rb_type *const _name##_RBT_TYPE; \
832 27de5ceb 2021-07-22 op static inline void \
833 1a443ec0 2021-07-22 op _name##_RBT_INIT(struct _name *head) \
835 1a443ec0 2021-07-22 op _rb_init(&head->rbh_root); \
838 27de5ceb 2021-07-22 op static inline struct _type * \
839 1a443ec0 2021-07-22 op _name##_RBT_INSERT(struct _name *head, struct _type *elm) \
841 1a443ec0 2021-07-22 op return _rb_insert(_name##_RBT_TYPE, &head->rbh_root, elm); \
844 27de5ceb 2021-07-22 op static inline struct _type * \
845 1a443ec0 2021-07-22 op _name##_RBT_REMOVE(struct _name *head, struct _type *elm) \
847 1a443ec0 2021-07-22 op return _rb_remove(_name##_RBT_TYPE, &head->rbh_root, elm); \
850 27de5ceb 2021-07-22 op static inline struct _type * \
851 1a443ec0 2021-07-22 op _name##_RBT_FIND(struct _name *head, const struct _type *key) \
853 1a443ec0 2021-07-22 op return _rb_find(_name##_RBT_TYPE, &head->rbh_root, key); \
856 27de5ceb 2021-07-22 op static inline struct _type * \
857 1a443ec0 2021-07-22 op _name##_RBT_NFIND(struct _name *head, const struct _type *key) \
859 1a443ec0 2021-07-22 op return _rb_nfind(_name##_RBT_TYPE, &head->rbh_root, key); \
862 27de5ceb 2021-07-22 op static inline struct _type * \
863 1a443ec0 2021-07-22 op _name##_RBT_ROOT(struct _name *head) \
865 1a443ec0 2021-07-22 op return _rb_root(_name##_RBT_TYPE, &head->rbh_root); \
868 27de5ceb 2021-07-22 op static inline int \
869 1a443ec0 2021-07-22 op _name##_RBT_EMPTY(struct _name *head) \
871 1a443ec0 2021-07-22 op return _rb_empty(&head->rbh_root); \
874 27de5ceb 2021-07-22 op static inline struct _type * \
875 1a443ec0 2021-07-22 op _name##_RBT_MIN(struct _name *head) \
877 1a443ec0 2021-07-22 op return _rb_min(_name##_RBT_TYPE, &head->rbh_root); \
880 27de5ceb 2021-07-22 op static inline struct _type * \
881 1a443ec0 2021-07-22 op _name##_RBT_MAX(struct _name *head) \
883 1a443ec0 2021-07-22 op return _rb_max(_name##_RBT_TYPE, &head->rbh_root); \
886 27de5ceb 2021-07-22 op static inline struct _type * \
887 1a443ec0 2021-07-22 op _name##_RBT_NEXT(struct _type *elm) \
889 1a443ec0 2021-07-22 op return _rb_next(_name##_RBT_TYPE, elm); \
892 27de5ceb 2021-07-22 op static inline struct _type * \
893 1a443ec0 2021-07-22 op _name##_RBT_PREV(struct _type *elm) \
895 1a443ec0 2021-07-22 op return _rb_prev(_name##_RBT_TYPE, elm); \
898 27de5ceb 2021-07-22 op static inline struct _type * \
899 1a443ec0 2021-07-22 op _name##_RBT_LEFT(struct _type *elm) \
901 1a443ec0 2021-07-22 op return _rb_left(_name##_RBT_TYPE, elm); \
904 27de5ceb 2021-07-22 op static inline struct _type * \
905 1a443ec0 2021-07-22 op _name##_RBT_RIGHT(struct _type *elm) \
907 1a443ec0 2021-07-22 op return _rb_right(_name##_RBT_TYPE, elm); \
910 27de5ceb 2021-07-22 op static inline struct _type * \
911 1a443ec0 2021-07-22 op _name##_RBT_PARENT(struct _type *elm) \
913 1a443ec0 2021-07-22 op return _rb_parent(_name##_RBT_TYPE, elm); \
916 27de5ceb 2021-07-22 op static inline void \
917 1a443ec0 2021-07-22 op _name##_RBT_SET_LEFT(struct _type *elm, struct _type *left) \
919 1a443ec0 2021-07-22 op _rb_set_left(_name##_RBT_TYPE, elm, left); \
922 27de5ceb 2021-07-22 op static inline void \
923 1a443ec0 2021-07-22 op _name##_RBT_SET_RIGHT(struct _type *elm, struct _type *right) \
925 1a443ec0 2021-07-22 op _rb_set_right(_name##_RBT_TYPE, elm, right); \
928 27de5ceb 2021-07-22 op static inline void \
929 1a443ec0 2021-07-22 op _name##_RBT_SET_PARENT(struct _type *elm, struct _type *parent) \
931 1a443ec0 2021-07-22 op _rb_set_parent(_name##_RBT_TYPE, elm, parent); \
934 27de5ceb 2021-07-22 op static inline void \
935 1a443ec0 2021-07-22 op _name##_RBT_POISON(struct _type *elm, unsigned long poison) \
937 1a443ec0 2021-07-22 op _rb_poison(_name##_RBT_TYPE, elm, poison); \
940 27de5ceb 2021-07-22 op static inline int \
941 1a443ec0 2021-07-22 op _name##_RBT_CHECK(struct _type *elm, unsigned long poison) \
943 1a443ec0 2021-07-22 op return _rb_check(_name##_RBT_TYPE, elm, poison); \
946 1a443ec0 2021-07-22 op #define RBT_GENERATE_INTERNAL(_name, _type, _field, _cmp, _aug) \
948 1a443ec0 2021-07-22 op _name##_RBT_COMPARE(const void *lptr, const void *rptr) \
950 1a443ec0 2021-07-22 op const struct _type *l = lptr, *r = rptr; \
951 1a443ec0 2021-07-22 op return _cmp(l, r); \
953 1a443ec0 2021-07-22 op static const struct rb_type _name##_RBT_INFO = { \
954 1a443ec0 2021-07-22 op _name##_RBT_COMPARE, \
956 1a443ec0 2021-07-22 op offsetof(struct _type, _field), \
958 1a443ec0 2021-07-22 op const struct rb_type *const _name##_RBT_TYPE = &_name##_RBT_INFO
960 1a443ec0 2021-07-22 op #define RBT_GENERATE_AUGMENT(_name, _type, _field, _cmp, _aug) \
961 1a443ec0 2021-07-22 op static void \
962 1a443ec0 2021-07-22 op _name##_RBT_AUGMENT(void *ptr) \
964 1a443ec0 2021-07-22 op struct _type *p = ptr; \
965 1a443ec0 2021-07-22 op return _aug(p); \
967 1a443ec0 2021-07-22 op RBT_GENERATE_INTERNAL(_name, _type, _field, _cmp, _name##_RBT_AUGMENT)
969 1a443ec0 2021-07-22 op #define RBT_GENERATE(_name, _type, _field, _cmp) \
970 1a443ec0 2021-07-22 op RBT_GENERATE_INTERNAL(_name, _type, _field, _cmp, NULL)
972 1a443ec0 2021-07-22 op #define RBT_INIT(_name, _head) _name##_RBT_INIT(_head)
973 1a443ec0 2021-07-22 op #define RBT_INSERT(_name, _head, _elm) _name##_RBT_INSERT(_head, _elm)
974 1a443ec0 2021-07-22 op #define RBT_REMOVE(_name, _head, _elm) _name##_RBT_REMOVE(_head, _elm)
975 1a443ec0 2021-07-22 op #define RBT_FIND(_name, _head, _key) _name##_RBT_FIND(_head, _key)
976 1a443ec0 2021-07-22 op #define RBT_NFIND(_name, _head, _key) _name##_RBT_NFIND(_head, _key)
977 1a443ec0 2021-07-22 op #define RBT_ROOT(_name, _head) _name##_RBT_ROOT(_head)
978 1a443ec0 2021-07-22 op #define RBT_EMPTY(_name, _head) _name##_RBT_EMPTY(_head)
979 1a443ec0 2021-07-22 op #define RBT_MIN(_name, _head) _name##_RBT_MIN(_head)
980 1a443ec0 2021-07-22 op #define RBT_MAX(_name, _head) _name##_RBT_MAX(_head)
981 1a443ec0 2021-07-22 op #define RBT_NEXT(_name, _elm) _name##_RBT_NEXT(_elm)
982 1a443ec0 2021-07-22 op #define RBT_PREV(_name, _elm) _name##_RBT_PREV(_elm)
983 1a443ec0 2021-07-22 op #define RBT_LEFT(_name, _elm) _name##_RBT_LEFT(_elm)
984 1a443ec0 2021-07-22 op #define RBT_RIGHT(_name, _elm) _name##_RBT_RIGHT(_elm)
985 1a443ec0 2021-07-22 op #define RBT_PARENT(_name, _elm) _name##_RBT_PARENT(_elm)
986 1a443ec0 2021-07-22 op #define RBT_SET_LEFT(_name, _elm, _l) _name##_RBT_SET_LEFT(_elm, _l)
987 1a443ec0 2021-07-22 op #define RBT_SET_RIGHT(_name, _elm, _r) _name##_RBT_SET_RIGHT(_elm, _r)
988 1a443ec0 2021-07-22 op #define RBT_SET_PARENT(_name, _elm, _p) _name##_RBT_SET_PARENT(_elm, _p)
989 1a443ec0 2021-07-22 op #define RBT_POISON(_name, _elm, _p) _name##_RBT_POISON(_elm, _p)
990 1a443ec0 2021-07-22 op #define RBT_CHECK(_name, _elm, _p) _name##_RBT_CHECK(_elm, _p)
992 1a443ec0 2021-07-22 op #define RBT_FOREACH(_e, _name, _head) \
993 1a443ec0 2021-07-22 op for ((_e) = RBT_MIN(_name, (_head)); \
994 1a443ec0 2021-07-22 op (_e) != NULL; \
995 1a443ec0 2021-07-22 op (_e) = RBT_NEXT(_name, (_e)))
997 1a443ec0 2021-07-22 op #define RBT_FOREACH_SAFE(_e, _name, _head, _n) \
998 1a443ec0 2021-07-22 op for ((_e) = RBT_MIN(_name, (_head)); \
999 1a443ec0 2021-07-22 op (_e) != NULL && ((_n) = RBT_NEXT(_name, (_e)), 1); \
1000 1a443ec0 2021-07-22 op (_e) = (_n))
1002 1a443ec0 2021-07-22 op #define RBT_FOREACH_REVERSE(_e, _name, _head) \
1003 1a443ec0 2021-07-22 op for ((_e) = RBT_MAX(_name, (_head)); \
1004 1a443ec0 2021-07-22 op (_e) != NULL; \
1005 1a443ec0 2021-07-22 op (_e) = RBT_PREV(_name, (_e)))
1007 1a443ec0 2021-07-22 op #define RBT_FOREACH_REVERSE_SAFE(_e, _name, _head, _n) \
1008 1a443ec0 2021-07-22 op for ((_e) = RBT_MAX(_name, (_head)); \
1009 1a443ec0 2021-07-22 op (_e) != NULL && ((_n) = RBT_PREV(_name, (_e)), 1); \
1010 1a443ec0 2021-07-22 op (_e) = (_n))
1012 1a443ec0 2021-07-22 op #endif /* _SYS_TREE_H_ */
