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80911bc2 DL |
1 | /* RB-tree */ |
2 | ||
3 | /* | |
4 | * Copyright 2002 Niels Provos <provos@citi.umich.edu> | |
5 | * All rights reserved. | |
6 | * | |
7 | * Redistribution and use in source and binary forms, with or without | |
8 | * modification, are permitted provided that the following conditions | |
9 | * are met: | |
10 | * 1. Redistributions of source code must retain the above copyright | |
11 | * notice, this list of conditions and the following disclaimer. | |
12 | * 2. Redistributions in binary form must reproduce the above copyright | |
13 | * notice, this list of conditions and the following disclaimer in the | |
14 | * documentation and/or other materials provided with the distribution. | |
15 | * | |
16 | * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR | |
17 | * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES | |
18 | * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. | |
19 | * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT, | |
20 | * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT | |
21 | * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, | |
22 | * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY | |
23 | * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT | |
24 | * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF | |
25 | * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. | |
26 | */ | |
27 | ||
28 | /* | |
29 | * Copyright (c) 2016 David Gwynne <dlg@openbsd.org> | |
30 | * | |
31 | * Permission to use, copy, modify, and distribute this software for any | |
32 | * purpose with or without fee is hereby granted, provided that the above | |
33 | * copyright notice and this permission notice appear in all copies. | |
34 | * | |
35 | * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES | |
36 | * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF | |
37 | * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR | |
38 | * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES | |
39 | * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN | |
40 | * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF | |
41 | * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. | |
42 | */ | |
43 | ||
44 | #include "typerb.h" | |
45 | ||
46 | #define RB_BLACK 0 | |
47 | #define RB_RED 1 | |
48 | ||
49 | #define rb_entry typed_rb_entry | |
50 | #define rbt_tree typed_rb_root | |
51 | ||
52 | #define RBE_LEFT(_rbe) (_rbe)->rbt_left | |
53 | #define RBE_RIGHT(_rbe) (_rbe)->rbt_right | |
54 | #define RBE_PARENT(_rbe) (_rbe)->rbt_parent | |
55 | #define RBE_COLOR(_rbe) (_rbe)->rbt_color | |
56 | ||
57 | #define RBH_ROOT(_rbt) (_rbt)->rbt_root | |
58 | ||
59 | static inline void rbe_set(struct rb_entry *rbe, struct rb_entry *parent) | |
60 | { | |
61 | RBE_PARENT(rbe) = parent; | |
62 | RBE_LEFT(rbe) = RBE_RIGHT(rbe) = NULL; | |
63 | RBE_COLOR(rbe) = RB_RED; | |
64 | } | |
65 | ||
66 | static inline void rbe_set_blackred(struct rb_entry *black, | |
67 | struct rb_entry *red) | |
68 | { | |
69 | RBE_COLOR(black) = RB_BLACK; | |
70 | RBE_COLOR(red) = RB_RED; | |
71 | } | |
72 | ||
73 | static inline void rbe_rotate_left(struct rbt_tree *rbt, struct rb_entry *rbe) | |
74 | { | |
75 | struct rb_entry *parent; | |
76 | struct rb_entry *tmp; | |
77 | ||
78 | tmp = RBE_RIGHT(rbe); | |
79 | RBE_RIGHT(rbe) = RBE_LEFT(tmp); | |
80 | if (RBE_RIGHT(rbe) != NULL) | |
81 | RBE_PARENT(RBE_LEFT(tmp)) = rbe; | |
82 | ||
83 | parent = RBE_PARENT(rbe); | |
84 | RBE_PARENT(tmp) = parent; | |
85 | if (parent != NULL) { | |
86 | if (rbe == RBE_LEFT(parent)) | |
87 | RBE_LEFT(parent) = tmp; | |
88 | else | |
89 | RBE_RIGHT(parent) = tmp; | |
90 | } else | |
91 | RBH_ROOT(rbt) = tmp; | |
92 | ||
93 | RBE_LEFT(tmp) = rbe; | |
94 | RBE_PARENT(rbe) = tmp; | |
95 | } | |
96 | ||
97 | static inline void rbe_rotate_right(struct rbt_tree *rbt, struct rb_entry *rbe) | |
98 | { | |
99 | struct rb_entry *parent; | |
100 | struct rb_entry *tmp; | |
101 | ||
102 | tmp = RBE_LEFT(rbe); | |
103 | RBE_LEFT(rbe) = RBE_RIGHT(tmp); | |
104 | if (RBE_LEFT(rbe) != NULL) | |
105 | RBE_PARENT(RBE_RIGHT(tmp)) = rbe; | |
106 | ||
107 | parent = RBE_PARENT(rbe); | |
108 | RBE_PARENT(tmp) = parent; | |
109 | if (parent != NULL) { | |
110 | if (rbe == RBE_LEFT(parent)) | |
111 | RBE_LEFT(parent) = tmp; | |
112 | else | |
113 | RBE_RIGHT(parent) = tmp; | |
114 | } else | |
115 | RBH_ROOT(rbt) = tmp; | |
116 | ||
117 | RBE_RIGHT(tmp) = rbe; | |
118 | RBE_PARENT(rbe) = tmp; | |
119 | } | |
120 | ||
121 | static inline void rbe_insert_color(struct rbt_tree *rbt, struct rb_entry *rbe) | |
122 | { | |
123 | struct rb_entry *parent, *gparent, *tmp; | |
124 | ||
125 | rbt->count++; | |
126 | ||
127 | while ((parent = RBE_PARENT(rbe)) != NULL | |
128 | && RBE_COLOR(parent) == RB_RED) { | |
129 | gparent = RBE_PARENT(parent); | |
130 | ||
131 | if (parent == RBE_LEFT(gparent)) { | |
132 | tmp = RBE_RIGHT(gparent); | |
133 | if (tmp != NULL && RBE_COLOR(tmp) == RB_RED) { | |
134 | RBE_COLOR(tmp) = RB_BLACK; | |
135 | rbe_set_blackred(parent, gparent); | |
136 | rbe = gparent; | |
137 | continue; | |
138 | } | |
139 | ||
140 | if (RBE_RIGHT(parent) == rbe) { | |
141 | rbe_rotate_left(rbt, parent); | |
142 | tmp = parent; | |
143 | parent = rbe; | |
144 | rbe = tmp; | |
145 | } | |
146 | ||
147 | rbe_set_blackred(parent, gparent); | |
148 | rbe_rotate_right(rbt, gparent); | |
149 | } else { | |
150 | tmp = RBE_LEFT(gparent); | |
151 | if (tmp != NULL && RBE_COLOR(tmp) == RB_RED) { | |
152 | RBE_COLOR(tmp) = RB_BLACK; | |
153 | rbe_set_blackred(parent, gparent); | |
154 | rbe = gparent; | |
155 | continue; | |
156 | } | |
157 | ||
158 | if (RBE_LEFT(parent) == rbe) { | |
159 | rbe_rotate_right(rbt, parent); | |
160 | tmp = parent; | |
161 | parent = rbe; | |
162 | rbe = tmp; | |
163 | } | |
164 | ||
165 | rbe_set_blackred(parent, gparent); | |
166 | rbe_rotate_left(rbt, gparent); | |
167 | } | |
168 | } | |
169 | ||
170 | RBE_COLOR(RBH_ROOT(rbt)) = RB_BLACK; | |
171 | } | |
172 | ||
173 | static inline void rbe_remove_color(struct rbt_tree *rbt, | |
174 | struct rb_entry *parent, | |
175 | struct rb_entry *rbe) | |
176 | { | |
177 | struct rb_entry *tmp; | |
178 | ||
179 | while ((rbe == NULL || RBE_COLOR(rbe) == RB_BLACK) | |
180 | && rbe != RBH_ROOT(rbt) && parent) { | |
181 | if (RBE_LEFT(parent) == rbe) { | |
182 | tmp = RBE_RIGHT(parent); | |
183 | if (RBE_COLOR(tmp) == RB_RED) { | |
184 | rbe_set_blackred(tmp, parent); | |
185 | rbe_rotate_left(rbt, parent); | |
186 | tmp = RBE_RIGHT(parent); | |
187 | } | |
188 | if ((RBE_LEFT(tmp) == NULL | |
189 | || RBE_COLOR(RBE_LEFT(tmp)) == RB_BLACK) | |
190 | && (RBE_RIGHT(tmp) == NULL | |
191 | || RBE_COLOR(RBE_RIGHT(tmp)) == RB_BLACK)) { | |
192 | RBE_COLOR(tmp) = RB_RED; | |
193 | rbe = parent; | |
194 | parent = RBE_PARENT(rbe); | |
195 | } else { | |
196 | if (RBE_RIGHT(tmp) == NULL | |
197 | || RBE_COLOR(RBE_RIGHT(tmp)) == RB_BLACK) { | |
198 | struct rb_entry *oleft; | |
199 | ||
200 | oleft = RBE_LEFT(tmp); | |
201 | if (oleft != NULL) | |
202 | RBE_COLOR(oleft) = RB_BLACK; | |
203 | ||
204 | RBE_COLOR(tmp) = RB_RED; | |
205 | rbe_rotate_right(rbt, tmp); | |
206 | tmp = RBE_RIGHT(parent); | |
207 | } | |
208 | ||
209 | RBE_COLOR(tmp) = RBE_COLOR(parent); | |
210 | RBE_COLOR(parent) = RB_BLACK; | |
211 | if (RBE_RIGHT(tmp)) | |
212 | RBE_COLOR(RBE_RIGHT(tmp)) = RB_BLACK; | |
213 | ||
214 | rbe_rotate_left(rbt, parent); | |
215 | rbe = RBH_ROOT(rbt); | |
216 | break; | |
217 | } | |
218 | } else { | |
219 | tmp = RBE_LEFT(parent); | |
220 | if (RBE_COLOR(tmp) == RB_RED) { | |
221 | rbe_set_blackred(tmp, parent); | |
222 | rbe_rotate_right(rbt, parent); | |
223 | tmp = RBE_LEFT(parent); | |
224 | } | |
225 | ||
226 | if ((RBE_LEFT(tmp) == NULL | |
227 | || RBE_COLOR(RBE_LEFT(tmp)) == RB_BLACK) | |
228 | && (RBE_RIGHT(tmp) == NULL | |
229 | || RBE_COLOR(RBE_RIGHT(tmp)) == RB_BLACK)) { | |
230 | RBE_COLOR(tmp) = RB_RED; | |
231 | rbe = parent; | |
232 | parent = RBE_PARENT(rbe); | |
233 | } else { | |
234 | if (RBE_LEFT(tmp) == NULL | |
235 | || RBE_COLOR(RBE_LEFT(tmp)) == RB_BLACK) { | |
236 | struct rb_entry *oright; | |
237 | ||
238 | oright = RBE_RIGHT(tmp); | |
239 | if (oright != NULL) | |
240 | RBE_COLOR(oright) = RB_BLACK; | |
241 | ||
242 | RBE_COLOR(tmp) = RB_RED; | |
243 | rbe_rotate_left(rbt, tmp); | |
244 | tmp = RBE_LEFT(parent); | |
245 | } | |
246 | ||
247 | RBE_COLOR(tmp) = RBE_COLOR(parent); | |
248 | RBE_COLOR(parent) = RB_BLACK; | |
249 | if (RBE_LEFT(tmp) != NULL) | |
250 | RBE_COLOR(RBE_LEFT(tmp)) = RB_BLACK; | |
251 | ||
252 | rbe_rotate_right(rbt, parent); | |
253 | rbe = RBH_ROOT(rbt); | |
254 | break; | |
255 | } | |
256 | } | |
257 | } | |
258 | ||
259 | if (rbe != NULL) | |
260 | RBE_COLOR(rbe) = RB_BLACK; | |
261 | } | |
262 | ||
263 | static inline struct rb_entry * | |
264 | rbe_remove(struct rbt_tree *rbt, struct rb_entry *rbe) | |
265 | { | |
266 | struct rb_entry *child, *parent, *old = rbe; | |
267 | unsigned int color; | |
268 | ||
269 | if (RBE_LEFT(rbe) == NULL) | |
270 | child = RBE_RIGHT(rbe); | |
271 | else if (RBE_RIGHT(rbe) == NULL) | |
272 | child = RBE_LEFT(rbe); | |
273 | else { | |
274 | struct rb_entry *tmp; | |
275 | ||
276 | rbe = RBE_RIGHT(rbe); | |
277 | while ((tmp = RBE_LEFT(rbe)) != NULL) | |
278 | rbe = tmp; | |
279 | ||
280 | child = RBE_RIGHT(rbe); | |
281 | parent = RBE_PARENT(rbe); | |
282 | color = RBE_COLOR(rbe); | |
283 | if (child != NULL) | |
284 | RBE_PARENT(child) = parent; | |
285 | if (parent != NULL) { | |
286 | if (RBE_LEFT(parent) == rbe) | |
287 | RBE_LEFT(parent) = child; | |
288 | else | |
289 | RBE_RIGHT(parent) = child; | |
290 | } else | |
291 | RBH_ROOT(rbt) = child; | |
292 | if (RBE_PARENT(rbe) == old) | |
293 | parent = rbe; | |
294 | *rbe = *old; | |
295 | ||
296 | tmp = RBE_PARENT(old); | |
297 | if (tmp != NULL) { | |
298 | if (RBE_LEFT(tmp) == old) | |
299 | RBE_LEFT(tmp) = rbe; | |
300 | else | |
301 | RBE_RIGHT(tmp) = rbe; | |
302 | } else | |
303 | RBH_ROOT(rbt) = rbe; | |
304 | ||
305 | RBE_PARENT(RBE_LEFT(old)) = rbe; | |
306 | if (RBE_RIGHT(old)) | |
307 | RBE_PARENT(RBE_RIGHT(old)) = rbe; | |
308 | ||
309 | goto color; | |
310 | } | |
311 | ||
312 | parent = RBE_PARENT(rbe); | |
313 | color = RBE_COLOR(rbe); | |
314 | ||
315 | if (child != NULL) | |
316 | RBE_PARENT(child) = parent; | |
317 | if (parent != NULL) { | |
318 | if (RBE_LEFT(parent) == rbe) | |
319 | RBE_LEFT(parent) = child; | |
320 | else | |
321 | RBE_RIGHT(parent) = child; | |
322 | } else | |
323 | RBH_ROOT(rbt) = child; | |
324 | color: | |
325 | if (color == RB_BLACK) | |
326 | rbe_remove_color(rbt, parent, child); | |
327 | ||
328 | rbt->count--; | |
329 | return (old); | |
330 | } | |
331 | ||
332 | void typed_rb_remove(struct rbt_tree *rbt, struct rb_entry *rbe) | |
333 | { | |
334 | rbe_remove(rbt, rbe); | |
335 | } | |
336 | ||
337 | struct typed_rb_entry *typed_rb_insert(struct rbt_tree *rbt, | |
338 | struct rb_entry *rbe, int (*cmpfn)( | |
339 | const struct typed_rb_entry *a, | |
340 | const struct typed_rb_entry *b)) | |
341 | { | |
342 | struct rb_entry *tmp; | |
343 | struct rb_entry *parent = NULL; | |
344 | int comp = 0; | |
345 | ||
346 | tmp = RBH_ROOT(rbt); | |
347 | while (tmp != NULL) { | |
348 | parent = tmp; | |
349 | ||
350 | comp = cmpfn(rbe, tmp); | |
351 | if (comp < 0) | |
352 | tmp = RBE_LEFT(tmp); | |
353 | else if (comp > 0) | |
354 | tmp = RBE_RIGHT(tmp); | |
355 | else | |
356 | return tmp; | |
357 | } | |
358 | ||
359 | rbe_set(rbe, parent); | |
360 | ||
361 | if (parent != NULL) { | |
362 | if (comp < 0) | |
363 | RBE_LEFT(parent) = rbe; | |
364 | else | |
365 | RBE_RIGHT(parent) = rbe; | |
366 | } else | |
367 | RBH_ROOT(rbt) = rbe; | |
368 | ||
369 | rbe_insert_color(rbt, rbe); | |
370 | ||
371 | return NULL; | |
372 | } | |
373 | ||
374 | /* Finds the node with the same key as elm */ | |
375 | struct rb_entry *typed_rb_find(struct rbt_tree *rbt, const struct rb_entry *key, | |
376 | int (*cmpfn)( | |
377 | const struct typed_rb_entry *a, | |
378 | const struct typed_rb_entry *b)) | |
379 | { | |
380 | struct rb_entry *tmp = RBH_ROOT(rbt); | |
381 | int comp; | |
382 | ||
383 | while (tmp != NULL) { | |
384 | comp = cmpfn(key, tmp); | |
385 | if (comp < 0) | |
386 | tmp = RBE_LEFT(tmp); | |
387 | else if (comp > 0) | |
388 | tmp = RBE_RIGHT(tmp); | |
389 | else | |
390 | return tmp; | |
391 | } | |
392 | ||
393 | return (NULL); | |
394 | } | |
395 | ||
396 | struct rb_entry *typed_rb_find_gteq(struct rbt_tree *rbt, | |
397 | const struct rb_entry *key, | |
398 | int (*cmpfn)( | |
399 | const struct typed_rb_entry *a, | |
400 | const struct typed_rb_entry *b)) | |
401 | { | |
402 | struct rb_entry *tmp = RBH_ROOT(rbt), *best = NULL; | |
403 | int comp; | |
404 | ||
405 | while (tmp != NULL) { | |
406 | comp = cmpfn(key, tmp); | |
407 | if (comp < 0) { | |
408 | best = tmp; | |
409 | tmp = RBE_LEFT(tmp); | |
410 | } else if (comp > 0) | |
411 | tmp = RBE_RIGHT(tmp); | |
412 | else | |
413 | return tmp; | |
414 | } | |
415 | ||
416 | return best; | |
417 | } | |
418 | ||
419 | struct rb_entry *typed_rb_find_lt(struct rbt_tree *rbt, | |
420 | const struct rb_entry *key, | |
421 | int (*cmpfn)( | |
422 | const struct typed_rb_entry *a, | |
423 | const struct typed_rb_entry *b)) | |
424 | { | |
425 | struct rb_entry *tmp = RBH_ROOT(rbt), *best = NULL; | |
426 | int comp; | |
427 | ||
428 | while (tmp != NULL) { | |
429 | comp = cmpfn(key, tmp); | |
430 | if (comp <= 0) | |
431 | tmp = RBE_LEFT(tmp); | |
432 | else { | |
433 | best = tmp; | |
434 | tmp = RBE_RIGHT(tmp); | |
435 | } | |
436 | } | |
437 | ||
438 | return best; | |
439 | } | |
440 | ||
441 | struct rb_entry *typed_rb_next(struct rb_entry *rbe) | |
442 | { | |
443 | if (RBE_RIGHT(rbe) != NULL) { | |
444 | rbe = RBE_RIGHT(rbe); | |
445 | while (RBE_LEFT(rbe) != NULL) | |
446 | rbe = RBE_LEFT(rbe); | |
447 | } else { | |
448 | if (RBE_PARENT(rbe) && (rbe == RBE_LEFT(RBE_PARENT(rbe)))) | |
449 | rbe = RBE_PARENT(rbe); | |
450 | else { | |
451 | while (RBE_PARENT(rbe) | |
452 | && (rbe == RBE_RIGHT(RBE_PARENT(rbe)))) | |
453 | rbe = RBE_PARENT(rbe); | |
454 | rbe = RBE_PARENT(rbe); | |
455 | } | |
456 | } | |
457 | ||
458 | return rbe; | |
459 | } | |
460 | ||
461 | struct rb_entry *typed_rb_min(struct rbt_tree *rbt) | |
462 | { | |
463 | struct rb_entry *rbe = RBH_ROOT(rbt); | |
464 | struct rb_entry *parent = NULL; | |
465 | ||
466 | while (rbe != NULL) { | |
467 | parent = rbe; | |
468 | rbe = RBE_LEFT(rbe); | |
469 | } | |
470 | ||
471 | return parent; | |
472 | } |