1/* $OpenBSD: tree.h,v 1.31 2023/03/08 04:43:09 guenther Exp $ */
2/*
3 * Copyright 2002 Niels Provos <provos@citi.umich.edu>
4 * All rights reserved.
5 *
6 * Redistribution and use in source and binary forms, with or without
7 * modification, are permitted provided that the following conditions
8 * are met:
9 * 1. Redistributions of source code must retain the above copyright
10 * notice, this list of conditions and the following disclaimer.
11 * 2. Redistributions in binary form must reproduce the above copyright
12 * notice, this list of conditions and the following disclaimer in the
13 * documentation and/or other materials provided with the distribution.
14 *
15 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
16 * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
17 * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
18 * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
19 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
20 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
21 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
22 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
23 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
24 * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
25 */
26
27#ifndef _SYS_TREE_H_
28#define _SYS_TREE_H_
29
30#include <sys/_null.h>
31
32/*
33 * This file defines data structures for different types of trees:
34 * splay trees and red-black trees.
35 *
36 * A splay tree is a self-organizing data structure. Every operation
37 * on the tree causes a splay to happen. The splay moves the requested
38 * node to the root of the tree and partly rebalances it.
39 *
40 * This has the benefit that request locality causes faster lookups as
41 * the requested nodes move to the top of the tree. On the other hand,
42 * every lookup causes memory writes.
43 *
44 * The Balance Theorem bounds the total access time for m operations
45 * and n inserts on an initially empty tree as O((m + n)lg n). The
46 * amortized cost for a sequence of m accesses to a splay tree is O(lg n);
47 *
48 * A red-black tree is a binary search tree with the node color as an
49 * extra attribute. It fulfills a set of conditions:
50 * - every search path from the root to a leaf consists of the
51 * same number of black nodes,
52 * - each red node (except for the root) has a black parent,
53 * - each leaf node is black.
54 *
55 * Every operation on a red-black tree is bounded as O(lg n).
56 * The maximum height of a red-black tree is 2lg (n+1).
57 */
58
59#define SPLAY_HEAD(name, type) \
60struct name { \
61 struct type *sph_root; /* root of the tree */ \
62}
63
64#define SPLAY_INITIALIZER(root) \
65 { NULL }
66
67#define SPLAY_INIT(root) do { \
68 (root)->sph_root = NULL; \
69} while (0)
70
71#define SPLAY_ENTRY(type) \
72struct { \
73 struct type *spe_left; /* left element */ \
74 struct type *spe_right; /* right element */ \
75}
76
77#define SPLAY_LEFT(elm, field) (elm)->field.spe_left
78#define SPLAY_RIGHT(elm, field) (elm)->field.spe_right
79#define SPLAY_ROOT(head) (head)->sph_root
80#define SPLAY_EMPTY(head) (SPLAY_ROOT(head) == NULL)
81
82/* SPLAY_ROTATE_{LEFT,RIGHT} expect that tmp hold SPLAY_{RIGHT,LEFT} */
83#define SPLAY_ROTATE_RIGHT(head, tmp, field) do { \
84 SPLAY_LEFT((head)->sph_root, field) = SPLAY_RIGHT(tmp, field); \
85 SPLAY_RIGHT(tmp, field) = (head)->sph_root; \
86 (head)->sph_root = tmp; \
87} while (0)
88
89#define SPLAY_ROTATE_LEFT(head, tmp, field) do { \
90 SPLAY_RIGHT((head)->sph_root, field) = SPLAY_LEFT(tmp, field); \
91 SPLAY_LEFT(tmp, field) = (head)->sph_root; \
92 (head)->sph_root = tmp; \
93} while (0)
94
95#define SPLAY_LINKLEFT(head, tmp, field) do { \
96 SPLAY_LEFT(tmp, field) = (head)->sph_root; \
97 tmp = (head)->sph_root; \
98 (head)->sph_root = SPLAY_LEFT((head)->sph_root, field); \
99} while (0)
100
101#define SPLAY_LINKRIGHT(head, tmp, field) do { \
102 SPLAY_RIGHT(tmp, field) = (head)->sph_root; \
103 tmp = (head)->sph_root; \
104 (head)->sph_root = SPLAY_RIGHT((head)->sph_root, field); \
105} while (0)
106
107#define SPLAY_ASSEMBLE(head, node, left, right, field) do { \
108 SPLAY_RIGHT(left, field) = SPLAY_LEFT((head)->sph_root, field); \
109 SPLAY_LEFT(right, field) = SPLAY_RIGHT((head)->sph_root, field);\
110 SPLAY_LEFT((head)->sph_root, field) = SPLAY_RIGHT(node, field); \
111 SPLAY_RIGHT((head)->sph_root, field) = SPLAY_LEFT(node, field); \
112} while (0)
113
114/* Generates prototypes and inline functions */
115
116#define SPLAY_PROTOTYPE(name, type, field, cmp) \
117void name##_SPLAY(struct name *, struct type *); \
118void name##_SPLAY_MINMAX(struct name *, int); \
119struct type *name##_SPLAY_INSERT(struct name *, struct type *); \
120struct type *name##_SPLAY_REMOVE(struct name *, struct type *); \
121 \
122/* Finds the node with the same key as elm */ \
123static __unused __inline struct type * \
124name##_SPLAY_FIND(struct name *head, struct type *elm) \
125{ \
126 if (SPLAY_EMPTY(head)) \
127 return(NULL); \
128 name##_SPLAY(head, elm); \
129 if ((cmp)(elm, (head)->sph_root) == 0) \
130 return (head->sph_root); \
131 return (NULL); \
132} \
133 \
134static __unused __inline struct type * \
135name##_SPLAY_NEXT(struct name *head, struct type *elm) \
136{ \
137 name##_SPLAY(head, elm); \
138 if (SPLAY_RIGHT(elm, field) != NULL) { \
139 elm = SPLAY_RIGHT(elm, field); \
140 while (SPLAY_LEFT(elm, field) != NULL) { \
141 elm = SPLAY_LEFT(elm, field); \
142 } \
143 } else \
144 elm = NULL; \
145 return (elm); \
146} \
147 \
148static __unused __inline struct type * \
149name##_SPLAY_MIN_MAX(struct name *head, int val) \
150{ \
151 name##_SPLAY_MINMAX(head, val); \
152 return (SPLAY_ROOT(head)); \
153}
154
155/* Main splay operation.
156 * Moves node close to the key of elm to top
157 */
158#define SPLAY_GENERATE(name, type, field, cmp) \
159struct type * \
160name##_SPLAY_INSERT(struct name *head, struct type *elm) \
161{ \
162 if (SPLAY_EMPTY(head)) { \
163 SPLAY_LEFT(elm, field) = SPLAY_RIGHT(elm, field) = NULL; \
164 } else { \
165 int __comp; \
166 name##_SPLAY(head, elm); \
167 __comp = (cmp)(elm, (head)->sph_root); \
168 if(__comp < 0) { \
169 SPLAY_LEFT(elm, field) = SPLAY_LEFT((head)->sph_root, field);\
170 SPLAY_RIGHT(elm, field) = (head)->sph_root; \
171 SPLAY_LEFT((head)->sph_root, field) = NULL; \
172 } else if (__comp > 0) { \
173 SPLAY_RIGHT(elm, field) = SPLAY_RIGHT((head)->sph_root, field);\
174 SPLAY_LEFT(elm, field) = (head)->sph_root; \
175 SPLAY_RIGHT((head)->sph_root, field) = NULL; \
176 } else \
177 return ((head)->sph_root); \
178 } \
179 (head)->sph_root = (elm); \
180 return (NULL); \
181} \
182 \
183struct type * \
184name##_SPLAY_REMOVE(struct name *head, struct type *elm) \
185{ \
186 struct type *__tmp; \
187 if (SPLAY_EMPTY(head)) \
188 return (NULL); \
189 name##_SPLAY(head, elm); \
190 if ((cmp)(elm, (head)->sph_root) == 0) { \
191 if (SPLAY_LEFT((head)->sph_root, field) == NULL) { \
192 (head)->sph_root = SPLAY_RIGHT((head)->sph_root, field);\
193 } else { \
194 __tmp = SPLAY_RIGHT((head)->sph_root, field); \
195 (head)->sph_root = SPLAY_LEFT((head)->sph_root, field);\
196 name##_SPLAY(head, elm); \
197 SPLAY_RIGHT((head)->sph_root, field) = __tmp; \
198 } \
199 return (elm); \
200 } \
201 return (NULL); \
202} \
203 \
204void \
205name##_SPLAY(struct name *head, struct type *elm) \
206{ \
207 struct type __node, *__left, *__right, *__tmp; \
208 int __comp; \
209\
210 SPLAY_LEFT(&__node, field) = SPLAY_RIGHT(&__node, field) = NULL;\
211 __left = __right = &__node; \
212\
213 while ((__comp = (cmp)(elm, (head)->sph_root))) { \
214 if (__comp < 0) { \
215 __tmp = SPLAY_LEFT((head)->sph_root, field); \
216 if (__tmp == NULL) \
217 break; \
218 if ((cmp)(elm, __tmp) < 0){ \
219 SPLAY_ROTATE_RIGHT(head, __tmp, field); \
220 if (SPLAY_LEFT((head)->sph_root, field) == NULL)\
221 break; \
222 } \
223 SPLAY_LINKLEFT(head, __right, field); \
224 } else if (__comp > 0) { \
225 __tmp = SPLAY_RIGHT((head)->sph_root, field); \
226 if (__tmp == NULL) \
227 break; \
228 if ((cmp)(elm, __tmp) > 0){ \
229 SPLAY_ROTATE_LEFT(head, __tmp, field); \
230 if (SPLAY_RIGHT((head)->sph_root, field) == NULL)\
231 break; \
232 } \
233 SPLAY_LINKRIGHT(head, __left, field); \
234 } \
235 } \
236 SPLAY_ASSEMBLE(head, &__node, __left, __right, field); \
237} \
238 \
239/* Splay with either the minimum or the maximum element \
240 * Used to find minimum or maximum element in tree. \
241 */ \
242void name##_SPLAY_MINMAX(struct name *head, int __comp) \
243{ \
244 struct type __node, *__left, *__right, *__tmp; \
245\
246 SPLAY_LEFT(&__node, field) = SPLAY_RIGHT(&__node, field) = NULL;\
247 __left = __right = &__node; \
248\
249 while (1) { \
250 if (__comp < 0) { \
251 __tmp = SPLAY_LEFT((head)->sph_root, field); \
252 if (__tmp == NULL) \
253 break; \
254 if (__comp < 0){ \
255 SPLAY_ROTATE_RIGHT(head, __tmp, field); \
256 if (SPLAY_LEFT((head)->sph_root, field) == NULL)\
257 break; \
258 } \
259 SPLAY_LINKLEFT(head, __right, field); \
260 } else if (__comp > 0) { \
261 __tmp = SPLAY_RIGHT((head)->sph_root, field); \
262 if (__tmp == NULL) \
263 break; \
264 if (__comp > 0) { \
265 SPLAY_ROTATE_LEFT(head, __tmp, field); \
266 if (SPLAY_RIGHT((head)->sph_root, field) == NULL)\
267 break; \
268 } \
269 SPLAY_LINKRIGHT(head, __left, field); \
270 } \
271 } \
272 SPLAY_ASSEMBLE(head, &__node, __left, __right, field); \
273}
274
275#define SPLAY_NEGINF -1
276#define SPLAY_INF 1
277
278#define SPLAY_INSERT(name, x, y) name##_SPLAY_INSERT(x, y)
279#define SPLAY_REMOVE(name, x, y) name##_SPLAY_REMOVE(x, y)
280#define SPLAY_FIND(name, x, y) name##_SPLAY_FIND(x, y)
281#define SPLAY_NEXT(name, x, y) name##_SPLAY_NEXT(x, y)
282#define SPLAY_MIN(name, x) (SPLAY_EMPTY(x) ? NULL \
283 : name##_SPLAY_MIN_MAX(x, SPLAY_NEGINF))
284#define SPLAY_MAX(name, x) (SPLAY_EMPTY(x) ? NULL \
285 : name##_SPLAY_MIN_MAX(x, SPLAY_INF))
286
287#define SPLAY_FOREACH(x, name, head) \
288 for ((x) = SPLAY_MIN(name, head); \
289 (x) != NULL; \
290 (x) = SPLAY_NEXT(name, head, x))
291
292/* Macros that define a red-black tree */
293#define RB_HEAD(name, type) \
294struct name { \
295 struct type *rbh_root; /* root of the tree */ \
296}
297
298#define RB_INITIALIZER(root) \
299 { NULL }
300
301#define RB_INIT(root) do { \
302 (root)->rbh_root = NULL; \
303} while (0)
304
305#define RB_BLACK 0
306#define RB_RED 1
307#define RB_ENTRY(type) \
308struct { \
309 struct type *rbe_left; /* left element */ \
310 struct type *rbe_right; /* right element */ \
311 struct type *rbe_parent; /* parent element */ \
312 int rbe_color; /* node color */ \
313}
314
315#define RB_LEFT(elm, field) (elm)->field.rbe_left
316#define RB_RIGHT(elm, field) (elm)->field.rbe_right
317#define RB_PARENT(elm, field) (elm)->field.rbe_parent
318#define RB_COLOR(elm, field) (elm)->field.rbe_color
319#define RB_ROOT(head) (head)->rbh_root
320#define RB_EMPTY(head) (RB_ROOT(head) == NULL)
321
322#define RB_SET(elm, parent, field) do { \
323 RB_PARENT(elm, field) = parent; \
324 RB_LEFT(elm, field) = RB_RIGHT(elm, field) = NULL; \
325 RB_COLOR(elm, field) = RB_RED; \
326} while (0)
327
328#define RB_SET_BLACKRED(black, red, field) do { \
329 RB_COLOR(black, field) = RB_BLACK; \
330 RB_COLOR(red, field) = RB_RED; \
331} while (0)
332
333#ifndef RB_AUGMENT
334#define RB_AUGMENT(x) do {} while (0)
335#endif
336
337#define RB_ROTATE_LEFT(head, elm, tmp, field) do { \
338 (tmp) = RB_RIGHT(elm, field); \
339 if ((RB_RIGHT(elm, field) = RB_LEFT(tmp, field))) { \
340 RB_PARENT(RB_LEFT(tmp, field), field) = (elm); \
341 } \
342 RB_AUGMENT(elm); \
343 if ((RB_PARENT(tmp, field) = RB_PARENT(elm, field))) { \
344 if ((elm) == RB_LEFT(RB_PARENT(elm, field), field)) \
345 RB_LEFT(RB_PARENT(elm, field), field) = (tmp); \
346 else \
347 RB_RIGHT(RB_PARENT(elm, field), field) = (tmp); \
348 } else \
349 (head)->rbh_root = (tmp); \
350 RB_LEFT(tmp, field) = (elm); \
351 RB_PARENT(elm, field) = (tmp); \
352 RB_AUGMENT(tmp); \
353 if ((RB_PARENT(tmp, field))) \
354 RB_AUGMENT(RB_PARENT(tmp, field)); \
355} while (0)
356
357#define RB_ROTATE_RIGHT(head, elm, tmp, field) do { \
358 (tmp) = RB_LEFT(elm, field); \
359 if ((RB_LEFT(elm, field) = RB_RIGHT(tmp, field))) { \
360 RB_PARENT(RB_RIGHT(tmp, field), field) = (elm); \
361 } \
362 RB_AUGMENT(elm); \
363 if ((RB_PARENT(tmp, field) = RB_PARENT(elm, field))) { \
364 if ((elm) == RB_LEFT(RB_PARENT(elm, field), field)) \
365 RB_LEFT(RB_PARENT(elm, field), field) = (tmp); \
366 else \
367 RB_RIGHT(RB_PARENT(elm, field), field) = (tmp); \
368 } else \
369 (head)->rbh_root = (tmp); \
370 RB_RIGHT(tmp, field) = (elm); \
371 RB_PARENT(elm, field) = (tmp); \
372 RB_AUGMENT(tmp); \
373 if ((RB_PARENT(tmp, field))) \
374 RB_AUGMENT(RB_PARENT(tmp, field)); \
375} while (0)
376
377/* Generates prototypes and inline functions */
378#define RB_PROTOTYPE(name, type, field, cmp) \
379 RB_PROTOTYPE_INTERNAL(name, type, field, cmp,)
380#define RB_PROTOTYPE_STATIC(name, type, field, cmp) \
381 RB_PROTOTYPE_INTERNAL(name, type, field, cmp, __attribute__((__unused__)) static)
382#define RB_PROTOTYPE_INTERNAL(name, type, field, cmp, attr) \
383attr void name##_RB_INSERT_COLOR(struct name *, struct type *); \
384attr void name##_RB_REMOVE_COLOR(struct name *, struct type *, struct type *);\
385attr struct type *name##_RB_REMOVE(struct name *, struct type *); \
386attr struct type *name##_RB_INSERT(struct name *, struct type *); \
387attr struct type *name##_RB_FIND(struct name *, struct type *); \
388attr struct type *name##_RB_NFIND(struct name *, struct type *); \
389attr struct type *name##_RB_NEXT(struct type *); \
390attr struct type *name##_RB_PREV(struct type *); \
391attr struct type *name##_RB_MINMAX(struct name *, int); \
392 \
393
394/* Main rb operation.
395 * Moves node close to the key of elm to top
396 */
397#define RB_GENERATE(name, type, field, cmp) \
398 RB_GENERATE_INTERNAL(name, type, field, cmp,)
399#define RB_GENERATE_STATIC(name, type, field, cmp) \
400 RB_GENERATE_INTERNAL(name, type, field, cmp, __attribute__((__unused__)) static)
401#define RB_GENERATE_INTERNAL(name, type, field, cmp, attr) \
402attr void \
403name##_RB_INSERT_COLOR(struct name *head, struct type *elm) \
404{ \
405 struct type *parent, *gparent, *tmp; \
406 while ((parent = RB_PARENT(elm, field)) && \
407 RB_COLOR(parent, field) == RB_RED) { \
408 gparent = RB_PARENT(parent, field); \
409 if (parent == RB_LEFT(gparent, field)) { \
410 tmp = RB_RIGHT(gparent, field); \
411 if (tmp && RB_COLOR(tmp, field) == RB_RED) { \
412 RB_COLOR(tmp, field) = RB_BLACK; \
413 RB_SET_BLACKRED(parent, gparent, field);\
414 elm = gparent; \
415 continue; \
416 } \
417 if (RB_RIGHT(parent, field) == elm) { \
418 RB_ROTATE_LEFT(head, parent, tmp, field);\
419 tmp = parent; \
420 parent = elm; \
421 elm = tmp; \
422 } \
423 RB_SET_BLACKRED(parent, gparent, field); \
424 RB_ROTATE_RIGHT(head, gparent, tmp, field); \
425 } else { \
426 tmp = RB_LEFT(gparent, field); \
427 if (tmp && RB_COLOR(tmp, field) == RB_RED) { \
428 RB_COLOR(tmp, field) = RB_BLACK; \
429 RB_SET_BLACKRED(parent, gparent, field);\
430 elm = gparent; \
431 continue; \
432 } \
433 if (RB_LEFT(parent, field) == elm) { \
434 RB_ROTATE_RIGHT(head, parent, tmp, field);\
435 tmp = parent; \
436 parent = elm; \
437 elm = tmp; \
438 } \
439 RB_SET_BLACKRED(parent, gparent, field); \
440 RB_ROTATE_LEFT(head, gparent, tmp, field); \
441 } \
442 } \
443 RB_COLOR(head->rbh_root, field) = RB_BLACK; \
444} \
445 \
446attr void \
447name##_RB_REMOVE_COLOR(struct name *head, struct type *parent, struct type *elm) \
448{ \
449 struct type *tmp; \
450 while ((elm == NULL || RB_COLOR(elm, field) == RB_BLACK) && \
451 elm != RB_ROOT(head)) { \
452 if (RB_LEFT(parent, field) == elm) { \
453 tmp = RB_RIGHT(parent, field); \
454 if (RB_COLOR(tmp, field) == RB_RED) { \
455 RB_SET_BLACKRED(tmp, parent, field); \
456 RB_ROTATE_LEFT(head, parent, tmp, field);\
457 tmp = RB_RIGHT(parent, field); \
458 } \
459 if ((RB_LEFT(tmp, field) == NULL || \
460 RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) &&\
461 (RB_RIGHT(tmp, field) == NULL || \
462 RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK)) {\
463 RB_COLOR(tmp, field) = RB_RED; \
464 elm = parent; \
465 parent = RB_PARENT(elm, field); \
466 } else { \
467 if (RB_RIGHT(tmp, field) == NULL || \
468 RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK) {\
469 struct type *oleft; \
470 if ((oleft = RB_LEFT(tmp, field)))\
471 RB_COLOR(oleft, field) = RB_BLACK;\
472 RB_COLOR(tmp, field) = RB_RED; \
473 RB_ROTATE_RIGHT(head, tmp, oleft, field);\
474 tmp = RB_RIGHT(parent, field); \
475 } \
476 RB_COLOR(tmp, field) = RB_COLOR(parent, field);\
477 RB_COLOR(parent, field) = RB_BLACK; \
478 if (RB_RIGHT(tmp, field)) \
479 RB_COLOR(RB_RIGHT(tmp, field), field) = RB_BLACK;\
480 RB_ROTATE_LEFT(head, parent, tmp, field);\
481 elm = RB_ROOT(head); \
482 break; \
483 } \
484 } else { \
485 tmp = RB_LEFT(parent, field); \
486 if (RB_COLOR(tmp, field) == RB_RED) { \
487 RB_SET_BLACKRED(tmp, parent, field); \
488 RB_ROTATE_RIGHT(head, parent, tmp, field);\
489 tmp = RB_LEFT(parent, field); \
490 } \
491 if ((RB_LEFT(tmp, field) == NULL || \
492 RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) &&\
493 (RB_RIGHT(tmp, field) == NULL || \
494 RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK)) {\
495 RB_COLOR(tmp, field) = RB_RED; \
496 elm = parent; \
497 parent = RB_PARENT(elm, field); \
498 } else { \
499 if (RB_LEFT(tmp, field) == NULL || \
500 RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) {\
501 struct type *oright; \
502 if ((oright = RB_RIGHT(tmp, field)))\
503 RB_COLOR(oright, field) = RB_BLACK;\
504 RB_COLOR(tmp, field) = RB_RED; \
505 RB_ROTATE_LEFT(head, tmp, oright, field);\
506 tmp = RB_LEFT(parent, field); \
507 } \
508 RB_COLOR(tmp, field) = RB_COLOR(parent, field);\
509 RB_COLOR(parent, field) = RB_BLACK; \
510 if (RB_LEFT(tmp, field)) \
511 RB_COLOR(RB_LEFT(tmp, field), field) = RB_BLACK;\
512 RB_ROTATE_RIGHT(head, parent, tmp, field);\
513 elm = RB_ROOT(head); \
514 break; \
515 } \
516 } \
517 } \
518 if (elm) \
519 RB_COLOR(elm, field) = RB_BLACK; \
520} \
521 \
522attr struct type * \
523name##_RB_REMOVE(struct name *head, struct type *elm) \
524{ \
525 struct type *child, *parent, *old = elm; \
526 int color; \
527 if (RB_LEFT(elm, field) == NULL) \
528 child = RB_RIGHT(elm, field); \
529 else if (RB_RIGHT(elm, field) == NULL) \
530 child = RB_LEFT(elm, field); \
531 else { \
532 struct type *left; \
533 elm = RB_RIGHT(elm, field); \
534 while ((left = RB_LEFT(elm, field))) \
535 elm = left; \
536 child = RB_RIGHT(elm, field); \
537 parent = RB_PARENT(elm, field); \
538 color = RB_COLOR(elm, field); \
539 if (child) \
540 RB_PARENT(child, field) = parent; \
541 if (parent) { \
542 if (RB_LEFT(parent, field) == elm) \
543 RB_LEFT(parent, field) = child; \
544 else \
545 RB_RIGHT(parent, field) = child; \
546 RB_AUGMENT(parent); \
547 } else \
548 RB_ROOT(head) = child; \
549 if (RB_PARENT(elm, field) == old) \
550 parent = elm; \
551 (elm)->field = (old)->field; \
552 if (RB_PARENT(old, field)) { \
553 if (RB_LEFT(RB_PARENT(old, field), field) == old)\
554 RB_LEFT(RB_PARENT(old, field), field) = elm;\
555 else \
556 RB_RIGHT(RB_PARENT(old, field), field) = elm;\
557 RB_AUGMENT(RB_PARENT(old, field)); \
558 } else \
559 RB_ROOT(head) = elm; \
560 RB_PARENT(RB_LEFT(old, field), field) = elm; \
561 if (RB_RIGHT(old, field)) \
562 RB_PARENT(RB_RIGHT(old, field), field) = elm; \
563 if (parent) { \
564 left = parent; \
565 do { \
566 RB_AUGMENT(left); \
567 } while ((left = RB_PARENT(left, field))); \
568 } \
569 goto color; \
570 } \
571 parent = RB_PARENT(elm, field); \
572 color = RB_COLOR(elm, field); \
573 if (child) \
574 RB_PARENT(child, field) = parent; \
575 if (parent) { \
576 if (RB_LEFT(parent, field) == elm) \
577 RB_LEFT(parent, field) = child; \
578 else \
579 RB_RIGHT(parent, field) = child; \
580 RB_AUGMENT(parent); \
581 } else \
582 RB_ROOT(head) = child; \
583color: \
584 if (color == RB_BLACK) \
585 name##_RB_REMOVE_COLOR(head, parent, child); \
586 return (old); \
587} \
588 \
589/* Inserts a node into the RB tree */ \
590attr struct type * \
591name##_RB_INSERT(struct name *head, struct type *elm) \
592{ \
593 struct type *tmp; \
594 struct type *parent = NULL; \
595 int comp = 0; \
596 tmp = RB_ROOT(head); \
597 while (tmp) { \
598 parent = tmp; \
599 comp = (cmp)(elm, parent); \
600 if (comp < 0) \
601 tmp = RB_LEFT(tmp, field); \
602 else if (comp > 0) \
603 tmp = RB_RIGHT(tmp, field); \
604 else \
605 return (tmp); \
606 } \
607 RB_SET(elm, parent, field); \
608 if (parent != NULL) { \
609 if (comp < 0) \
610 RB_LEFT(parent, field) = elm; \
611 else \
612 RB_RIGHT(parent, field) = elm; \
613 RB_AUGMENT(parent); \
614 } else \
615 RB_ROOT(head) = elm; \
616 name##_RB_INSERT_COLOR(head, elm); \
617 return (NULL); \
618} \
619 \
620/* Finds the node with the same key as elm */ \
621attr struct type * \
622name##_RB_FIND(struct name *head, struct type *elm) \
623{ \
624 struct type *tmp = RB_ROOT(head); \
625 int comp; \
626 while (tmp) { \
627 comp = cmp(elm, tmp); \
628 if (comp < 0) \
629 tmp = RB_LEFT(tmp, field); \
630 else if (comp > 0) \
631 tmp = RB_RIGHT(tmp, field); \
632 else \
633 return (tmp); \
634 } \
635 return (NULL); \
636} \
637 \
638/* Finds the first node greater than or equal to the search key */ \
639attr struct type * \
640name##_RB_NFIND(struct name *head, struct type *elm) \
641{ \
642 struct type *tmp = RB_ROOT(head); \
643 struct type *res = NULL; \
644 int comp; \
645 while (tmp) { \
646 comp = cmp(elm, tmp); \
647 if (comp < 0) { \
648 res = tmp; \
649 tmp = RB_LEFT(tmp, field); \
650 } \
651 else if (comp > 0) \
652 tmp = RB_RIGHT(tmp, field); \
653 else \
654 return (tmp); \
655 } \
656 return (res); \
657} \
658 \
659attr struct type * \
660name##_RB_NEXT(struct type *elm) \
661{ \
662 if (RB_RIGHT(elm, field)) { \
663 elm = RB_RIGHT(elm, field); \
664 while (RB_LEFT(elm, field)) \
665 elm = RB_LEFT(elm, field); \
666 } else { \
667 if (RB_PARENT(elm, field) && \
668 (elm == RB_LEFT(RB_PARENT(elm, field), field))) \
669 elm = RB_PARENT(elm, field); \
670 else { \
671 while (RB_PARENT(elm, field) && \
672 (elm == RB_RIGHT(RB_PARENT(elm, field), field)))\
673 elm = RB_PARENT(elm, field); \
674 elm = RB_PARENT(elm, field); \
675 } \
676 } \
677 return (elm); \
678} \
679 \
680attr struct type * \
681name##_RB_PREV(struct type *elm) \
682{ \
683 if (RB_LEFT(elm, field)) { \
684 elm = RB_LEFT(elm, field); \
685 while (RB_RIGHT(elm, field)) \
686 elm = RB_RIGHT(elm, field); \
687 } else { \
688 if (RB_PARENT(elm, field) && \
689 (elm == RB_RIGHT(RB_PARENT(elm, field), field))) \
690 elm = RB_PARENT(elm, field); \
691 else { \
692 while (RB_PARENT(elm, field) && \
693 (elm == RB_LEFT(RB_PARENT(elm, field), field)))\
694 elm = RB_PARENT(elm, field); \
695 elm = RB_PARENT(elm, field); \
696 } \
697 } \
698 return (elm); \
699} \
700 \
701attr struct type * \
702name##_RB_MINMAX(struct name *head, int val) \
703{ \
704 struct type *tmp = RB_ROOT(head); \
705 struct type *parent = NULL; \
706 while (tmp) { \
707 parent = tmp; \
708 if (val < 0) \
709 tmp = RB_LEFT(tmp, field); \
710 else \
711 tmp = RB_RIGHT(tmp, field); \
712 } \
713 return (parent); \
714}
715
716#define RB_NEGINF -1
717#define RB_INF 1
718
719#define RB_INSERT(name, x, y) name##_RB_INSERT(x, y)
720#define RB_REMOVE(name, x, y) name##_RB_REMOVE(x, y)
721#define RB_FIND(name, x, y) name##_RB_FIND(x, y)
722#define RB_NFIND(name, x, y) name##_RB_NFIND(x, y)
723#define RB_NEXT(name, x, y) name##_RB_NEXT(y)
724#define RB_PREV(name, x, y) name##_RB_PREV(y)
725#define RB_MIN(name, x) name##_RB_MINMAX(x, RB_NEGINF)
726#define RB_MAX(name, x) name##_RB_MINMAX(x, RB_INF)
727
728#define RB_FOREACH(x, name, head) \
729 for ((x) = RB_MIN(name, head); \
730 (x) != NULL; \
731 (x) = name##_RB_NEXT(x))
732
733#define RB_FOREACH_SAFE(x, name, head, y) \
734 for ((x) = RB_MIN(name, head); \
735 ((x) != NULL) && ((y) = name##_RB_NEXT(x), 1); \
736 (x) = (y))
737
738#define RB_FOREACH_REVERSE(x, name, head) \
739 for ((x) = RB_MAX(name, head); \
740 (x) != NULL; \
741 (x) = name##_RB_PREV(x))
742
743#define RB_FOREACH_REVERSE_SAFE(x, name, head, y) \
744 for ((x) = RB_MAX(name, head); \
745 ((x) != NULL) && ((y) = name##_RB_PREV(x), 1); \
746 (x) = (y))
747
748
749/*
750 * Copyright (c) 2016 David Gwynne <dlg@openbsd.org>
751 *
752 * Permission to use, copy, modify, and distribute this software for any
753 * purpose with or without fee is hereby granted, provided that the above
754 * copyright notice and this permission notice appear in all copies.
755 *
756 * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
757 * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
758 * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
759 * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
760 * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
761 * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
762 * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
763 */
764
765struct rb_type {
766 int (*t_compare)(const void *, const void *);
767 void (*t_augment)(void *);
768 unsigned int t_offset; /* offset of rb_entry in type */
769};
770
771struct rb_tree {
772 struct rb_entry *rbt_root;
773};
774
775struct rb_entry {
776 struct rb_entry *rbt_parent;
777 struct rb_entry *rbt_left;
778 struct rb_entry *rbt_right;
779 unsigned int rbt_color;
780};
781
782#define RBT_HEAD(_name, _type) \
783struct _name { \
784 struct rb_tree rbh_root; \
785}
786
787#define RBT_ENTRY(_type) struct rb_entry
788
789static inline void
790_rb_init(struct rb_tree *rbt)
791{
792 rbt->rbt_root = NULL;
793}
794
795static inline int
796_rb_empty(struct rb_tree *rbt)
797{
798 return (rbt->rbt_root == NULL);
799}
800
801void *_rb_insert(const struct rb_type *, struct rb_tree *, void *);
802void *_rb_remove(const struct rb_type *, struct rb_tree *, void *);
803void *_rb_find(const struct rb_type *, struct rb_tree *, const void *);
804void *_rb_nfind(const struct rb_type *, struct rb_tree *, const void *);
805void *_rb_root(const struct rb_type *, struct rb_tree *);
806void *_rb_min(const struct rb_type *, struct rb_tree *);
807void *_rb_max(const struct rb_type *, struct rb_tree *);
808void *_rb_next(const struct rb_type *, void *);
809void *_rb_prev(const struct rb_type *, void *);
810void *_rb_left(const struct rb_type *, void *);
811void *_rb_right(const struct rb_type *, void *);
812void *_rb_parent(const struct rb_type *, void *);
813void _rb_set_left(const struct rb_type *, void *, void *);
814void _rb_set_right(const struct rb_type *, void *, void *);
815void _rb_set_parent(const struct rb_type *, void *, void *);
816void _rb_poison(const struct rb_type *, void *, unsigned long);
817int _rb_check(const struct rb_type *, void *, unsigned long);
818
819#define RBT_INITIALIZER(_head) { { NULL } }
820
821#define RBT_PROTOTYPE(_name, _type, _field, _cmp) \
822extern const struct rb_type *const _name##_RBT_TYPE; \
823 \
824__unused static inline void \
825_name##_RBT_INIT(struct _name *head) \
826{ \
827 _rb_init(&head->rbh_root); \
828} \
829 \
830__unused static inline struct _type * \
831_name##_RBT_INSERT(struct _name *head, struct _type *elm) \
832{ \
833 return _rb_insert(_name##_RBT_TYPE, &head->rbh_root, elm); \
834} \
835 \
836__unused static inline struct _type * \
837_name##_RBT_REMOVE(struct _name *head, struct _type *elm) \
838{ \
839 return _rb_remove(_name##_RBT_TYPE, &head->rbh_root, elm); \
840} \
841 \
842__unused static inline struct _type * \
843_name##_RBT_FIND(struct _name *head, const struct _type *key) \
844{ \
845 return _rb_find(_name##_RBT_TYPE, &head->rbh_root, key); \
846} \
847 \
848__unused static inline struct _type * \
849_name##_RBT_NFIND(struct _name *head, const struct _type *key) \
850{ \
851 return _rb_nfind(_name##_RBT_TYPE, &head->rbh_root, key); \
852} \
853 \
854__unused static inline struct _type * \
855_name##_RBT_ROOT(struct _name *head) \
856{ \
857 return _rb_root(_name##_RBT_TYPE, &head->rbh_root); \
858} \
859 \
860__unused static inline int \
861_name##_RBT_EMPTY(struct _name *head) \
862{ \
863 return _rb_empty(&head->rbh_root); \
864} \
865 \
866__unused static inline struct _type * \
867_name##_RBT_MIN(struct _name *head) \
868{ \
869 return _rb_min(_name##_RBT_TYPE, &head->rbh_root); \
870} \
871 \
872__unused static inline struct _type * \
873_name##_RBT_MAX(struct _name *head) \
874{ \
875 return _rb_max(_name##_RBT_TYPE, &head->rbh_root); \
876} \
877 \
878__unused static inline struct _type * \
879_name##_RBT_NEXT(struct _type *elm) \
880{ \
881 return _rb_next(_name##_RBT_TYPE, elm); \
882} \
883 \
884__unused static inline struct _type * \
885_name##_RBT_PREV(struct _type *elm) \
886{ \
887 return _rb_prev(_name##_RBT_TYPE, elm); \
888} \
889 \
890__unused static inline struct _type * \
891_name##_RBT_LEFT(struct _type *elm) \
892{ \
893 return _rb_left(_name##_RBT_TYPE, elm); \
894} \
895 \
896__unused static inline struct _type * \
897_name##_RBT_RIGHT(struct _type *elm) \
898{ \
899 return _rb_right(_name##_RBT_TYPE, elm); \
900} \
901 \
902__unused static inline struct _type * \
903_name##_RBT_PARENT(struct _type *elm) \
904{ \
905 return _rb_parent(_name##_RBT_TYPE, elm); \
906} \
907 \
908__unused static inline void \
909_name##_RBT_SET_LEFT(struct _type *elm, struct _type *left) \
910{ \
911 _rb_set_left(_name##_RBT_TYPE, elm, left); \
912} \
913 \
914__unused static inline void \
915_name##_RBT_SET_RIGHT(struct _type *elm, struct _type *right) \
916{ \
917 _rb_set_right(_name##_RBT_TYPE, elm, right); \
918} \
919 \
920__unused static inline void \
921_name##_RBT_SET_PARENT(struct _type *elm, struct _type *parent) \
922{ \
923 _rb_set_parent(_name##_RBT_TYPE, elm, parent); \
924} \
925 \
926__unused static inline void \
927_name##_RBT_POISON(struct _type *elm, unsigned long poison) \
928{ \
929 _rb_poison(_name##_RBT_TYPE, elm, poison); \
930} \
931 \
932__unused static inline int \
933_name##_RBT_CHECK(struct _type *elm, unsigned long poison) \
934{ \
935 return _rb_check(_name##_RBT_TYPE, elm, poison); \
936}
937
938#define RBT_GENERATE_INTERNAL(_name, _type, _field, _cmp, _aug) \
939static int \
940_name##_RBT_COMPARE(const void *lptr, const void *rptr) \
941{ \
942 const struct _type *l = lptr, *r = rptr; \
943 return _cmp(l, r); \
944} \
945static const struct rb_type _name##_RBT_INFO = { \
946 _name##_RBT_COMPARE, \
947 _aug, \
948 offsetof(struct _type, _field), \
949}; \
950const struct rb_type *const _name##_RBT_TYPE = &_name##_RBT_INFO
951
952#define RBT_GENERATE_AUGMENT(_name, _type, _field, _cmp, _aug) \
953static void \
954_name##_RBT_AUGMENT(void *ptr) \
955{ \
956 struct _type *p = ptr; \
957 return _aug(p); \
958} \
959RBT_GENERATE_INTERNAL(_name, _type, _field, _cmp, _name##_RBT_AUGMENT)
960
961#define RBT_GENERATE(_name, _type, _field, _cmp) \
962 RBT_GENERATE_INTERNAL(_name, _type, _field, _cmp, NULL)
963
964#define RBT_INIT(_name, _head) _name##_RBT_INIT(_head)
965#define RBT_INSERT(_name, _head, _elm) _name##_RBT_INSERT(_head, _elm)
966#define RBT_REMOVE(_name, _head, _elm) _name##_RBT_REMOVE(_head, _elm)
967#define RBT_FIND(_name, _head, _key) _name##_RBT_FIND(_head, _key)
968#define RBT_NFIND(_name, _head, _key) _name##_RBT_NFIND(_head, _key)
969#define RBT_ROOT(_name, _head) _name##_RBT_ROOT(_head)
970#define RBT_EMPTY(_name, _head) _name##_RBT_EMPTY(_head)
971#define RBT_MIN(_name, _head) _name##_RBT_MIN(_head)
972#define RBT_MAX(_name, _head) _name##_RBT_MAX(_head)
973#define RBT_NEXT(_name, _elm) _name##_RBT_NEXT(_elm)
974#define RBT_PREV(_name, _elm) _name##_RBT_PREV(_elm)
975#define RBT_LEFT(_name, _elm) _name##_RBT_LEFT(_elm)
976#define RBT_RIGHT(_name, _elm) _name##_RBT_RIGHT(_elm)
977#define RBT_PARENT(_name, _elm) _name##_RBT_PARENT(_elm)
978#define RBT_SET_LEFT(_name, _elm, _l) _name##_RBT_SET_LEFT(_elm, _l)
979#define RBT_SET_RIGHT(_name, _elm, _r) _name##_RBT_SET_RIGHT(_elm, _r)
980#define RBT_SET_PARENT(_name, _elm, _p) _name##_RBT_SET_PARENT(_elm, _p)
981#define RBT_POISON(_name, _elm, _p) _name##_RBT_POISON(_elm, _p)
982#define RBT_CHECK(_name, _elm, _p) _name##_RBT_CHECK(_elm, _p)
983
984#define RBT_FOREACH(_e, _name, _head) \
985 for ((_e) = RBT_MIN(_name, (_head)); \
986 (_e) != NULL; \
987 (_e) = RBT_NEXT(_name, (_e)))
988
989#define RBT_FOREACH_SAFE(_e, _name, _head, _n) \
990 for ((_e) = RBT_MIN(_name, (_head)); \
991 (_e) != NULL && ((_n) = RBT_NEXT(_name, (_e)), 1); \
992 (_e) = (_n))
993
994#define RBT_FOREACH_REVERSE(_e, _name, _head) \
995 for ((_e) = RBT_MAX(_name, (_head)); \
996 (_e) != NULL; \
997 (_e) = RBT_PREV(_name, (_e)))
998
999#define RBT_FOREACH_REVERSE_SAFE(_e, _name, _head, _n) \
1000 for ((_e) = RBT_MAX(_name, (_head)); \
1001 (_e) != NULL && ((_n) = RBT_PREV(_name, (_e)), 1); \
1002 (_e) = (_n))
1003
1004#endif /* _SYS_TREE_H_ */