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700318f3 1/*
2 * Copyright 2002 Niels Provos <provos@citi.umich.edu>
3 * All rights reserved.
4 *
5 * Redistribution and use in source and binary forms, with or without
6 * modification, are permitted provided that the following conditions
7 * are met:
8 * 1. Redistributions of source code must retain the above copyright
9 * notice, this list of conditions and the following disclaimer.
10 * 2. Redistributions in binary form must reproduce the above copyright
11 * notice, this list of conditions and the following disclaimer in the
12 * documentation and/or other materials provided with the distribution.
13 *
14 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
15 * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
16 * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
17 * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
18 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
19 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
20 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
21 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
22 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
23 * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
24 */
25
26#ifndef _SYS_TREE_H_
27#define _SYS_TREE_H_
28
29/*
30 * This file defines data structures for different types of trees:
31 * splay trees and red-black trees.
32 *
33 * A splay tree is a self-organizing data structure. Every operation
34 * on the tree causes a splay to happen. The splay moves the requested
35 * node to the root of the tree and partly rebalances it.
36 *
37 * This has the benefit that request locality causes faster lookups as
38 * the requested nodes move to the top of the tree. On the other hand,
39 * every lookup causes memory writes.
40 *
41 * The Balance Theorem bounds the total access time for m operations
42 * and n inserts on an initially empty tree as O((m + n)lg n). The
43 * amortized cost for a sequence of m accesses to a splay tree is O(lg n);
44 *
45 * A red-black tree is a binary search tree with the node color as an
46 * extra attribute. It fulfills a set of conditions:
47 * - every search path from the root to a leaf consists of the
48 * same number of black nodes,
49 * - each red node (except for the root) has a black parent,
50 * - each leaf node is black.
51 *
52 * Every operation on a red-black tree is bounded as O(lg n).
53 * The maximum height of a red-black tree is 2lg (n+1).
54 */
55
56#define SPLAY_HEAD(name, type) \
57struct name { \
58 struct type *sph_root; /* root of the tree */ \
59}
60
61#define SPLAY_INITIALIZER(root) \
62 { NULL }
63
64#define SPLAY_INIT(root) do { \
65 (root)->sph_root = NULL; \
66} while (0)
67
68#define SPLAY_ENTRY(type) \
69struct { \
70 struct type *spe_left; /* left element */ \
71 struct type *spe_right; /* right element */ \
72}
73
74#define SPLAY_LEFT(elm, field) (elm)->field.spe_left
75#define SPLAY_RIGHT(elm, field) (elm)->field.spe_right
76#define SPLAY_ROOT(head) (head)->sph_root
77#define SPLAY_EMPTY(head) (SPLAY_ROOT(head) == NULL)
78
79/* SPLAY_ROTATE_{LEFT,RIGHT} expect that tmp hold SPLAY_{RIGHT,LEFT} */
80#define SPLAY_ROTATE_RIGHT(head, tmp, field) do { \
81 SPLAY_LEFT((head)->sph_root, field) = SPLAY_RIGHT(tmp, field); \
82 SPLAY_RIGHT(tmp, field) = (head)->sph_root; \
83 (head)->sph_root = tmp; \
84} while (0)
85
86#define SPLAY_ROTATE_LEFT(head, tmp, field) do { \
87 SPLAY_RIGHT((head)->sph_root, field) = SPLAY_LEFT(tmp, field); \
88 SPLAY_LEFT(tmp, field) = (head)->sph_root; \
89 (head)->sph_root = tmp; \
90} while (0)
91
92#define SPLAY_LINKLEFT(head, tmp, field) do { \
93 SPLAY_LEFT(tmp, field) = (head)->sph_root; \
94 tmp = (head)->sph_root; \
95 (head)->sph_root = SPLAY_LEFT((head)->sph_root, field); \
96} while (0)
97
98#define SPLAY_LINKRIGHT(head, tmp, field) do { \
99 SPLAY_RIGHT(tmp, field) = (head)->sph_root; \
100 tmp = (head)->sph_root; \
101 (head)->sph_root = SPLAY_RIGHT((head)->sph_root, field); \
102} while (0)
103
104#define SPLAY_ASSEMBLE(head, node, left, right, field) do { \
105 SPLAY_RIGHT(left, field) = SPLAY_LEFT((head)->sph_root, field); \
106 SPLAY_LEFT(right, field) = SPLAY_RIGHT((head)->sph_root, field);\
107 SPLAY_LEFT((head)->sph_root, field) = SPLAY_RIGHT(node, field); \
108 SPLAY_RIGHT((head)->sph_root, field) = SPLAY_LEFT(node, field); \
109} while (0)
110
111/* Generates prototypes and inline functions */
112
113#define SPLAY_PROTOTYPE(name, type, field, cmp) \
114void name##_SPLAY(struct name *, struct type *); \
115void name##_SPLAY_MINMAX(struct name *, int); \
116 \
117static __inline void \
118name##_SPLAY_INSERT(struct name *head, struct type *elm) \
119{ \
120 if (SPLAY_EMPTY(head)) { \
121 SPLAY_LEFT(elm, field) = SPLAY_RIGHT(elm, field) = NULL; \
122 } else { \
123 int __comp; \
124 name##_SPLAY(head, elm); \
125 __comp = (cmp)(elm, (head)->sph_root); \
126 if(__comp < 0) { \
127 SPLAY_LEFT(elm, field) = SPLAY_LEFT((head)->sph_root, field);\
128 SPLAY_RIGHT(elm, field) = (head)->sph_root; \
129 SPLAY_LEFT((head)->sph_root, field) = NULL; \
130 } else if (__comp > 0) { \
131 SPLAY_RIGHT(elm, field) = SPLAY_RIGHT((head)->sph_root, field);\
132 SPLAY_LEFT(elm, field) = (head)->sph_root; \
133 SPLAY_RIGHT((head)->sph_root, field) = NULL; \
134 } else \
135 return; \
136 } \
137 (head)->sph_root = (elm); \
138} \
139 \
140static __inline void \
141name##_SPLAY_REMOVE(struct name *head, struct type *elm) \
142{ \
143 struct type *__tmp; \
144 if (SPLAY_EMPTY(head)) \
145 return; \
146 name##_SPLAY(head, elm); \
147 if ((cmp)(elm, (head)->sph_root) == 0) { \
148 if (SPLAY_LEFT((head)->sph_root, field) == NULL) { \
149 (head)->sph_root = SPLAY_RIGHT((head)->sph_root, field);\
150 } else { \
151 __tmp = SPLAY_RIGHT((head)->sph_root, field); \
152 (head)->sph_root = SPLAY_LEFT((head)->sph_root, field);\
153 name##_SPLAY(head, elm); \
154 SPLAY_RIGHT((head)->sph_root, field) = __tmp; \
155 } \
156 } \
157} \
158 \
159/* Finds the node with the same key as elm */ \
160static __inline struct type * \
161name##_SPLAY_FIND(struct name *head, struct type *elm) \
162{ \
163 if (SPLAY_EMPTY(head)) \
164 return(NULL); \
165 name##_SPLAY(head, elm); \
166 if ((cmp)(elm, (head)->sph_root) == 0) \
167 return (head->sph_root); \
168 return (NULL); \
169} \
170 \
171static __inline struct type * \
172name##_SPLAY_NEXT(struct name *head, struct type *elm) \
173{ \
174 name##_SPLAY(head, elm); \
175 if (SPLAY_RIGHT(elm, field) != NULL) { \
176 elm = SPLAY_RIGHT(elm, field); \
177 while (SPLAY_LEFT(elm, field) != NULL) { \
178 elm = SPLAY_LEFT(elm, field); \
179 } \
180 } else \
181 elm = NULL; \
182 return (elm); \
183} \
184 \
185static __inline struct type * \
186name##_SPLAY_MIN_MAX(struct name *head, int val) \
187{ \
188 name##_SPLAY_MINMAX(head, val); \
189 return (SPLAY_ROOT(head)); \
190}
191
192/* Main splay operation.
193 * Moves node close to the key of elm to top
194 */
195#define SPLAY_GENERATE(name, type, field, cmp) \
196void name##_SPLAY(struct name *head, struct type *elm) \
197{ \
198 struct type __node, *__left, *__right, *__tmp; \
199 int __comp; \
200\
201 SPLAY_LEFT(&__node, field) = SPLAY_RIGHT(&__node, field) = NULL;\
202 __left = __right = &__node; \
203\
204 while ((__comp = (cmp)(elm, (head)->sph_root))) { \
205 if (__comp < 0) { \
206 __tmp = SPLAY_LEFT((head)->sph_root, field); \
207 if (__tmp == NULL) \
208 break; \
209 if ((cmp)(elm, __tmp) < 0){ \
210 SPLAY_ROTATE_RIGHT(head, __tmp, field); \
211 if (SPLAY_LEFT((head)->sph_root, field) == NULL)\
212 break; \
213 } \
214 SPLAY_LINKLEFT(head, __right, field); \
215 } else if (__comp > 0) { \
216 __tmp = SPLAY_RIGHT((head)->sph_root, field); \
217 if (__tmp == NULL) \
218 break; \
219 if ((cmp)(elm, __tmp) > 0){ \
220 SPLAY_ROTATE_LEFT(head, __tmp, field); \
221 if (SPLAY_RIGHT((head)->sph_root, field) == NULL)\
222 break; \
223 } \
224 SPLAY_LINKRIGHT(head, __left, field); \
225 } \
226 } \
227 SPLAY_ASSEMBLE(head, &__node, __left, __right, field); \
228} \
229 \
230/* Splay with either the minimum or the maximum element \
231 * Used to find minimum or maximum element in tree. \
232 */ \
233void name##_SPLAY_MINMAX(struct name *head, int __comp) \
234{ \
235 struct type __node, *__left, *__right, *__tmp; \
236\
237 SPLAY_LEFT(&__node, field) = SPLAY_RIGHT(&__node, field) = NULL;\
238 __left = __right = &__node; \
239\
240 while (1) { \
241 if (__comp < 0) { \
242 __tmp = SPLAY_LEFT((head)->sph_root, field); \
243 if (__tmp == NULL) \
244 break; \
245 if (__comp < 0){ \
246 SPLAY_ROTATE_RIGHT(head, __tmp, field); \
247 if (SPLAY_LEFT((head)->sph_root, field) == NULL)\
248 break; \
249 } \
250 SPLAY_LINKLEFT(head, __right, field); \
251 } else if (__comp > 0) { \
252 __tmp = SPLAY_RIGHT((head)->sph_root, field); \
253 if (__tmp == NULL) \
254 break; \
255 if (__comp > 0) { \
256 SPLAY_ROTATE_LEFT(head, __tmp, field); \
257 if (SPLAY_RIGHT((head)->sph_root, field) == NULL)\
258 break; \
259 } \
260 SPLAY_LINKRIGHT(head, __left, field); \
261 } \
262 } \
263 SPLAY_ASSEMBLE(head, &__node, __left, __right, field); \
264}
265
266#define SPLAY_NEGINF -1
267#define SPLAY_INF 1
268
269#define SPLAY_INSERT(name, x, y) name##_SPLAY_INSERT(x, y)
270#define SPLAY_REMOVE(name, x, y) name##_SPLAY_REMOVE(x, y)
271#define SPLAY_FIND(name, x, y) name##_SPLAY_FIND(x, y)
272#define SPLAY_NEXT(name, x, y) name##_SPLAY_NEXT(x, y)
273#define SPLAY_MIN(name, x) (SPLAY_EMPTY(x) ? NULL \
274 : name##_SPLAY_MIN_MAX(x, SPLAY_NEGINF))
275#define SPLAY_MAX(name, x) (SPLAY_EMPTY(x) ? NULL \
276 : name##_SPLAY_MIN_MAX(x, SPLAY_INF))
277
278#define SPLAY_FOREACH(x, name, head) \
279 for ((x) = SPLAY_MIN(name, head); \
280 (x) != NULL; \
281 (x) = SPLAY_NEXT(name, head, x))
282
283/* Macros that define a red-back tree */
284#define RB_HEAD(name, type) \
285struct name { \
286 struct type *rbh_root; /* root of the tree */ \
287}
288
289#define RB_INITIALIZER(root) \
290 { NULL }
291
292#define RB_INIT(root) do { \
293 (root)->rbh_root = NULL; \
294} while (0)
295
296#define RB_BLACK 0
297#define RB_RED 1
298#define RB_ENTRY(type) \
299struct { \
300 struct type *rbe_left; /* left element */ \
301 struct type *rbe_right; /* right element */ \
302 struct type *rbe_parent; /* parent element */ \
303 int rbe_color; /* node color */ \
304}
305
306#define RB_LEFT(elm, field) (elm)->field.rbe_left
307#define RB_RIGHT(elm, field) (elm)->field.rbe_right
308#define RB_PARENT(elm, field) (elm)->field.rbe_parent
309#define RB_COLOR(elm, field) (elm)->field.rbe_color
310#define RB_ROOT(head) (head)->rbh_root
311#define RB_EMPTY(head) (RB_ROOT(head) == NULL)
312
313#define RB_SET(elm, parent, field) do { \
314 RB_PARENT(elm, field) = parent; \
315 RB_LEFT(elm, field) = RB_RIGHT(elm, field) = NULL; \
316 RB_COLOR(elm, field) = RB_RED; \
317} while (0)
318
319#define RB_SET_BLACKRED(black, red, field) do { \
320 RB_COLOR(black, field) = RB_BLACK; \
321 RB_COLOR(red, field) = RB_RED; \
322} while (0)
323
324#ifndef RB_AUGMENT
325#define RB_AUGMENT(x)
326#endif
327
328#define RB_ROTATE_LEFT(head, elm, tmp, field) do { \
329 (tmp) = RB_RIGHT(elm, field); \
330 if ((RB_RIGHT(elm, field) = RB_LEFT(tmp, field))) { \
331 RB_PARENT(RB_LEFT(tmp, field), field) = (elm); \
332 } \
333 RB_AUGMENT(elm); \
334 if ((RB_PARENT(tmp, field) = RB_PARENT(elm, field))) { \
335 if ((elm) == RB_LEFT(RB_PARENT(elm, field), field)) \
336 RB_LEFT(RB_PARENT(elm, field), field) = (tmp); \
337 else \
338 RB_RIGHT(RB_PARENT(elm, field), field) = (tmp); \
339 RB_AUGMENT(RB_PARENT(elm, field)); \
340 } else \
341 (head)->rbh_root = (tmp); \
342 RB_LEFT(tmp, field) = (elm); \
343 RB_PARENT(elm, field) = (tmp); \
344 RB_AUGMENT(tmp); \
345} while (0)
346
347#define RB_ROTATE_RIGHT(head, elm, tmp, field) do { \
348 (tmp) = RB_LEFT(elm, field); \
349 if ((RB_LEFT(elm, field) = RB_RIGHT(tmp, field))) { \
350 RB_PARENT(RB_RIGHT(tmp, field), field) = (elm); \
351 } \
352 RB_AUGMENT(elm); \
353 if ((RB_PARENT(tmp, field) = RB_PARENT(elm, field))) { \
354 if ((elm) == RB_LEFT(RB_PARENT(elm, field), field)) \
355 RB_LEFT(RB_PARENT(elm, field), field) = (tmp); \
356 else \
357 RB_RIGHT(RB_PARENT(elm, field), field) = (tmp); \
358 RB_AUGMENT(RB_PARENT(elm, field)); \
359 } else \
360 (head)->rbh_root = (tmp); \
361 RB_RIGHT(tmp, field) = (elm); \
362 RB_PARENT(elm, field) = (tmp); \
363 RB_AUGMENT(tmp); \
364} while (0)
365
366/* Generates prototypes and inline functions */
367#define RB_PROTOTYPE(name, type, field, cmp) \
368void name##_RB_INSERT_COLOR(struct name *, struct type *); \
369void name##_RB_REMOVE_COLOR(struct name *, struct type *, struct type *);\
370void name##_RB_REMOVE(struct name *, struct type *); \
371struct type *name##_RB_INSERT(struct name *, struct type *); \
372struct type *name##_RB_FIND(struct name *, struct type *); \
373struct type *name##_RB_NEXT(struct name *, struct type *); \
374struct type *name##_RB_MINMAX(struct name *, int); \
375 \
376
377/* Main rb operation.
378 * Moves node close to the key of elm to top
379 */
380#define RB_GENERATE(name, type, field, cmp) \
381void \
382name##_RB_INSERT_COLOR(struct name *head, struct type *elm) \
383{ \
384 struct type *parent, *gparent, *tmp; \
385 while ((parent = RB_PARENT(elm, field)) && \
386 RB_COLOR(parent, field) == RB_RED) { \
387 gparent = RB_PARENT(parent, field); \
388 if (parent == RB_LEFT(gparent, field)) { \
389 tmp = RB_RIGHT(gparent, field); \
390 if (tmp && RB_COLOR(tmp, field) == RB_RED) { \
391 RB_COLOR(tmp, field) = RB_BLACK; \
392 RB_SET_BLACKRED(parent, gparent, field);\
393 elm = gparent; \
394 continue; \
395 } \
396 if (RB_RIGHT(parent, field) == elm) { \
397 RB_ROTATE_LEFT(head, parent, tmp, field);\
398 tmp = parent; \
399 parent = elm; \
400 elm = tmp; \
401 } \
402 RB_SET_BLACKRED(parent, gparent, field); \
403 RB_ROTATE_RIGHT(head, gparent, tmp, field); \
404 } else { \
405 tmp = RB_LEFT(gparent, field); \
406 if (tmp && RB_COLOR(tmp, field) == RB_RED) { \
407 RB_COLOR(tmp, field) = RB_BLACK; \
408 RB_SET_BLACKRED(parent, gparent, field);\
409 elm = gparent; \
410 continue; \
411 } \
412 if (RB_LEFT(parent, field) == elm) { \
413 RB_ROTATE_RIGHT(head, parent, tmp, field);\
414 tmp = parent; \
415 parent = elm; \
416 elm = tmp; \
417 } \
418 RB_SET_BLACKRED(parent, gparent, field); \
419 RB_ROTATE_LEFT(head, gparent, tmp, field); \
420 } \
421 } \
422 RB_COLOR(head->rbh_root, field) = RB_BLACK; \
423} \
424 \
425void \
426name##_RB_REMOVE_COLOR(struct name *head, struct type *parent, struct type *elm) \
427{ \
428 struct type *tmp; \
429 while ((elm == NULL || RB_COLOR(elm, field) == RB_BLACK) && \
430 elm != RB_ROOT(head)) { \
431 if (RB_LEFT(parent, field) == elm) { \
432 tmp = RB_RIGHT(parent, field); \
433 if (RB_COLOR(tmp, field) == RB_RED) { \
434 RB_SET_BLACKRED(tmp, parent, field); \
435 RB_ROTATE_LEFT(head, parent, tmp, field);\
436 tmp = RB_RIGHT(parent, field); \
437 } \
438 if ((RB_LEFT(tmp, field) == NULL || \
439 RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) &&\
440 (RB_RIGHT(tmp, field) == NULL || \
441 RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK)) {\
442 RB_COLOR(tmp, field) = RB_RED; \
443 elm = parent; \
444 parent = RB_PARENT(elm, field); \
445 } else { \
446 if (RB_RIGHT(tmp, field) == NULL || \
447 RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK) {\
448 struct type *oleft; \
449 if ((oleft = RB_LEFT(tmp, field)))\
450 RB_COLOR(oleft, field) = RB_BLACK;\
451 RB_COLOR(tmp, field) = RB_RED; \
452 RB_ROTATE_RIGHT(head, tmp, oleft, field);\
453 tmp = RB_RIGHT(parent, field); \
454 } \
455 RB_COLOR(tmp, field) = RB_COLOR(parent, field);\
456 RB_COLOR(parent, field) = RB_BLACK; \
457 if (RB_RIGHT(tmp, field)) \
458 RB_COLOR(RB_RIGHT(tmp, field), field) = RB_BLACK;\
459 RB_ROTATE_LEFT(head, parent, tmp, field);\
460 elm = RB_ROOT(head); \
461 break; \
462 } \
463 } else { \
464 tmp = RB_LEFT(parent, field); \
465 if (RB_COLOR(tmp, field) == RB_RED) { \
466 RB_SET_BLACKRED(tmp, parent, field); \
467 RB_ROTATE_RIGHT(head, parent, tmp, field);\
468 tmp = RB_LEFT(parent, field); \
469 } \
470 if ((RB_LEFT(tmp, field) == NULL || \
471 RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) &&\
472 (RB_RIGHT(tmp, field) == NULL || \
473 RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK)) {\
474 RB_COLOR(tmp, field) = RB_RED; \
475 elm = parent; \
476 parent = RB_PARENT(elm, field); \
477 } else { \
478 if (RB_LEFT(tmp, field) == NULL || \
479 RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) {\
480 struct type *oright; \
481 if ((oright = RB_RIGHT(tmp, field)))\
482 RB_COLOR(oright, field) = RB_BLACK;\
483 RB_COLOR(tmp, field) = RB_RED; \
484 RB_ROTATE_LEFT(head, tmp, oright, field);\
485 tmp = RB_LEFT(parent, field); \
486 } \
487 RB_COLOR(tmp, field) = RB_COLOR(parent, field);\
488 RB_COLOR(parent, field) = RB_BLACK; \
489 if (RB_LEFT(tmp, field)) \
490 RB_COLOR(RB_LEFT(tmp, field), field) = RB_BLACK;\
491 RB_ROTATE_RIGHT(head, parent, tmp, field);\
492 elm = RB_ROOT(head); \
493 break; \
494 } \
495 } \
496 } \
497 if (elm) \
498 RB_COLOR(elm, field) = RB_BLACK; \
499} \
500 \
501void \
502name##_RB_REMOVE(struct name *head, struct type *elm) \
503{ \
504 struct type *child, *parent; \
505 int color; \
506 if (RB_LEFT(elm, field) == NULL) \
507 child = RB_RIGHT(elm, field); \
508 else if (RB_RIGHT(elm, field) == NULL) \
509 child = RB_LEFT(elm, field); \
510 else { \
511 struct type *old = elm, *left; \
512 elm = RB_RIGHT(elm, field); \
513 while ((left = RB_LEFT(elm, field))) \
514 elm = left; \
515 child = RB_RIGHT(elm, field); \
516 parent = RB_PARENT(elm, field); \
517 color = RB_COLOR(elm, field); \
518 if (child) \
519 RB_PARENT(child, field) = parent; \
520 if (parent) { \
521 if (RB_LEFT(parent, field) == elm) \
522 RB_LEFT(parent, field) = child; \
523 else \
524 RB_RIGHT(parent, field) = child; \
525 RB_AUGMENT(parent); \
526 } else \
527 RB_ROOT(head) = child; \
528 if (RB_PARENT(elm, field) == old) \
529 parent = elm; \
530 (elm)->field = (old)->field; \
531 if (RB_PARENT(old, field)) { \
532 if (RB_LEFT(RB_PARENT(old, field), field) == old)\
533 RB_LEFT(RB_PARENT(old, field), field) = elm;\
534 else \
535 RB_RIGHT(RB_PARENT(old, field), field) = elm;\
536 RB_AUGMENT(RB_PARENT(old, field)); \
537 } else \
538 RB_ROOT(head) = elm; \
539 RB_PARENT(RB_LEFT(old, field), field) = elm; \
540 if (RB_RIGHT(old, field)) \
541 RB_PARENT(RB_RIGHT(old, field), field) = elm; \
542 if (parent) { \
543 left = parent; \
544 do { \
545 RB_AUGMENT(left); \
546 } while ((left = RB_PARENT(left, field))); \
547 } \
548 goto color; \
549 } \
550 parent = RB_PARENT(elm, field); \
551 color = RB_COLOR(elm, field); \
552 if (child) \
553 RB_PARENT(child, field) = parent; \
554 if (parent) { \
555 if (RB_LEFT(parent, field) == elm) \
556 RB_LEFT(parent, field) = child; \
557 else \
558 RB_RIGHT(parent, field) = child; \
559 RB_AUGMENT(parent); \
560 } else \
561 RB_ROOT(head) = child; \
562color: \
563 if (color == RB_BLACK) \
564 name##_RB_REMOVE_COLOR(head, parent, child); \
565} \
566 \
567/* Inserts a node into the RB tree */ \
568struct type * \
569name##_RB_INSERT(struct name *head, struct type *elm) \
570{ \
571 struct type *tmp; \
572 struct type *parent = NULL; \
573 int comp = 0; \
574 tmp = RB_ROOT(head); \
575 while (tmp) { \
576 parent = tmp; \
577 comp = (cmp)(elm, parent); \
578 if (comp < 0) \
579 tmp = RB_LEFT(tmp, field); \
580 else if (comp > 0) \
581 tmp = RB_RIGHT(tmp, field); \
582 else \
583 return (tmp); \
584 } \
585 RB_SET(elm, parent, field); \
586 if (parent != NULL) { \
587 if (comp < 0) \
588 RB_LEFT(parent, field) = elm; \
589 else \
590 RB_RIGHT(parent, field) = elm; \
591 RB_AUGMENT(parent); \
592 } else \
593 RB_ROOT(head) = elm; \
594 name##_RB_INSERT_COLOR(head, elm); \
595 return (NULL); \
596} \
597 \
598/* Finds the node with the same key as elm */ \
599struct type * \
600name##_RB_FIND(struct name *head, struct type *elm) \
601{ \
602 struct type *tmp = RB_ROOT(head); \
603 int comp; \
604 while (tmp) { \
605 comp = cmp(elm, tmp); \
606 if (comp < 0) \
607 tmp = RB_LEFT(tmp, field); \
608 else if (comp > 0) \
609 tmp = RB_RIGHT(tmp, field); \
610 else \
611 return (tmp); \
612 } \
613 return (NULL); \
614} \
615 \
616struct type * \
617name##_RB_NEXT(struct name *head, struct type *elm) \
618{ \
619 if (RB_RIGHT(elm, field)) { \
620 elm = RB_RIGHT(elm, field); \
621 while (RB_LEFT(elm, field)) \
622 elm = RB_LEFT(elm, field); \
623 } else { \
624 if (RB_PARENT(elm, field) && \
625 (elm == RB_LEFT(RB_PARENT(elm, field), field))) \
626 elm = RB_PARENT(elm, field); \
627 else { \
628 while (RB_PARENT(elm, field) && \
629 (elm == RB_RIGHT(RB_PARENT(elm, field), field)))\
630 elm = RB_PARENT(elm, field); \
631 elm = RB_PARENT(elm, field); \
632 } \
633 } \
634 return (elm); \
635} \
636 \
637struct type * \
638name##_RB_MINMAX(struct name *head, int val) \
639{ \
640 struct type *tmp = RB_ROOT(head); \
641 struct type *parent = NULL; \
642 while (tmp) { \
643 parent = tmp; \
644 if (val < 0) \
645 tmp = RB_LEFT(tmp, field); \
646 else \
647 tmp = RB_RIGHT(tmp, field); \
648 } \
649 return (parent); \
650}
651
652#define RB_NEGINF -1
653#define RB_INF 1
654
655#define RB_INSERT(name, x, y) name##_RB_INSERT(x, y)
656#define RB_REMOVE(name, x, y) name##_RB_REMOVE(x, y)
657#define RB_FIND(name, x, y) name##_RB_FIND(x, y)
658#define RB_NEXT(name, x, y) name##_RB_NEXT(x, y)
659#define RB_MIN(name, x) name##_RB_MINMAX(x, RB_NEGINF)
660#define RB_MAX(name, x) name##_RB_MINMAX(x, RB_INF)
661
662#define RB_FOREACH(x, name, head) \
663 for ((x) = RB_MIN(name, head); \
664 (x) != NULL; \
665 (x) = name##_RB_NEXT(head, x))
666
667#endif /* _SYS_TREE_H_ */
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