Rizin
unix-like reverse engineering framework and cli tools
tree.h
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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 UV_TREE_H_
27 #define UV_TREE_H_
28 
29 #ifndef UV__UNUSED
30 # if __GNUC__
31 # define UV__UNUSED __attribute__((unused))
32 # else
33 # define UV__UNUSED
34 # endif
35 #endif
36 
37 /*
38  * This file defines data structures for different types of trees:
39  * splay trees and red-black trees.
40  *
41  * A splay tree is a self-organizing data structure. Every operation
42  * on the tree causes a splay to happen. The splay moves the requested
43  * node to the root of the tree and partly rebalances it.
44  *
45  * This has the benefit that request locality causes faster lookups as
46  * the requested nodes move to the top of the tree. On the other hand,
47  * every lookup causes memory writes.
48  *
49  * The Balance Theorem bounds the total access time for m operations
50  * and n inserts on an initially empty tree as O((m + n)lg n). The
51  * amortized cost for a sequence of m accesses to a splay tree is O(lg n);
52  *
53  * A red-black tree is a binary search tree with the node color as an
54  * extra attribute. It fulfills a set of conditions:
55  * - every search path from the root to a leaf consists of the
56  * same number of black nodes,
57  * - each red node (except for the root) has a black parent,
58  * - each leaf node is black.
59  *
60  * Every operation on a red-black tree is bounded as O(lg n).
61  * The maximum height of a red-black tree is 2lg (n+1).
62  */
63 
64 #define SPLAY_HEAD(name, type) \
65 struct name { \
66  struct type *sph_root; /* root of the tree */ \
67 }
68 
69 #define SPLAY_INITIALIZER(root) \
70  { NULL }
71 
72 #define SPLAY_INIT(root) do { \
73  (root)->sph_root = NULL; \
74 } while (/*CONSTCOND*/ 0)
75 
76 #define SPLAY_ENTRY(type) \
77 struct { \
78  struct type *spe_left; /* left element */ \
79  struct type *spe_right; /* right element */ \
80 }
81 
82 #define SPLAY_LEFT(elm, field) (elm)->field.spe_left
83 #define SPLAY_RIGHT(elm, field) (elm)->field.spe_right
84 #define SPLAY_ROOT(head) (head)->sph_root
85 #define SPLAY_EMPTY(head) (SPLAY_ROOT(head) == NULL)
86 
87 /* SPLAY_ROTATE_{LEFT,RIGHT} expect that tmp hold SPLAY_{RIGHT,LEFT} */
88 #define SPLAY_ROTATE_RIGHT(head, tmp, field) do { \
89  SPLAY_LEFT((head)->sph_root, field) = SPLAY_RIGHT(tmp, field); \
90  SPLAY_RIGHT(tmp, field) = (head)->sph_root; \
91  (head)->sph_root = tmp; \
92 } while (/*CONSTCOND*/ 0)
93 
94 #define SPLAY_ROTATE_LEFT(head, tmp, field) do { \
95  SPLAY_RIGHT((head)->sph_root, field) = SPLAY_LEFT(tmp, field); \
96  SPLAY_LEFT(tmp, field) = (head)->sph_root; \
97  (head)->sph_root = tmp; \
98 } while (/*CONSTCOND*/ 0)
99 
100 #define SPLAY_LINKLEFT(head, tmp, field) do { \
101  SPLAY_LEFT(tmp, field) = (head)->sph_root; \
102  tmp = (head)->sph_root; \
103  (head)->sph_root = SPLAY_LEFT((head)->sph_root, field); \
104 } while (/*CONSTCOND*/ 0)
105 
106 #define SPLAY_LINKRIGHT(head, tmp, field) do { \
107  SPLAY_RIGHT(tmp, field) = (head)->sph_root; \
108  tmp = (head)->sph_root; \
109  (head)->sph_root = SPLAY_RIGHT((head)->sph_root, field); \
110 } while (/*CONSTCOND*/ 0)
111 
112 #define SPLAY_ASSEMBLE(head, node, left, right, field) do { \
113  SPLAY_RIGHT(left, field) = SPLAY_LEFT((head)->sph_root, field); \
114  SPLAY_LEFT(right, field) = SPLAY_RIGHT((head)->sph_root, field); \
115  SPLAY_LEFT((head)->sph_root, field) = SPLAY_RIGHT(node, field); \
116  SPLAY_RIGHT((head)->sph_root, field) = SPLAY_LEFT(node, field); \
117 } while (/*CONSTCOND*/ 0)
118 
119 /* Generates prototypes and inline functions */
120 
121 #define SPLAY_PROTOTYPE(name, type, field, cmp) \
122 void name##_SPLAY(struct name *, struct type *); \
123 void name##_SPLAY_MINMAX(struct name *, int); \
124 struct type *name##_SPLAY_INSERT(struct name *, struct type *); \
125 struct type *name##_SPLAY_REMOVE(struct name *, struct type *); \
126  \
127 /* Finds the node with the same key as elm */ \
128 static __inline struct type * \
129 name##_SPLAY_FIND(struct name *head, struct type *elm) \
130 { \
131  if (SPLAY_EMPTY(head)) \
132  return(NULL); \
133  name##_SPLAY(head, elm); \
134  if ((cmp)(elm, (head)->sph_root) == 0) \
135  return (head->sph_root); \
136  return (NULL); \
137 } \
138  \
139 static __inline struct type * \
140 name##_SPLAY_NEXT(struct name *head, struct type *elm) \
141 { \
142  name##_SPLAY(head, elm); \
143  if (SPLAY_RIGHT(elm, field) != NULL) { \
144  elm = SPLAY_RIGHT(elm, field); \
145  while (SPLAY_LEFT(elm, field) != NULL) { \
146  elm = SPLAY_LEFT(elm, field); \
147  } \
148  } else \
149  elm = NULL; \
150  return (elm); \
151 } \
152  \
153 static __inline struct type * \
154 name##_SPLAY_MIN_MAX(struct name *head, int val) \
155 { \
156  name##_SPLAY_MINMAX(head, val); \
157  return (SPLAY_ROOT(head)); \
158 }
159 
160 /* Main splay operation.
161  * Moves node close to the key of elm to top
162  */
163 #define SPLAY_GENERATE(name, type, field, cmp) \
164 struct type * \
165 name##_SPLAY_INSERT(struct name *head, struct type *elm) \
166 { \
167  if (SPLAY_EMPTY(head)) { \
168  SPLAY_LEFT(elm, field) = SPLAY_RIGHT(elm, field) = NULL; \
169  } else { \
170  int __comp; \
171  name##_SPLAY(head, elm); \
172  __comp = (cmp)(elm, (head)->sph_root); \
173  if(__comp < 0) { \
174  SPLAY_LEFT(elm, field) = SPLAY_LEFT((head)->sph_root, field); \
175  SPLAY_RIGHT(elm, field) = (head)->sph_root; \
176  SPLAY_LEFT((head)->sph_root, field) = NULL; \
177  } else if (__comp > 0) { \
178  SPLAY_RIGHT(elm, field) = SPLAY_RIGHT((head)->sph_root, field); \
179  SPLAY_LEFT(elm, field) = (head)->sph_root; \
180  SPLAY_RIGHT((head)->sph_root, field) = NULL; \
181  } else \
182  return ((head)->sph_root); \
183  } \
184  (head)->sph_root = (elm); \
185  return (NULL); \
186 } \
187  \
188 struct type * \
189 name##_SPLAY_REMOVE(struct name *head, struct type *elm) \
190 { \
191  struct type *__tmp; \
192  if (SPLAY_EMPTY(head)) \
193  return (NULL); \
194  name##_SPLAY(head, elm); \
195  if ((cmp)(elm, (head)->sph_root) == 0) { \
196  if (SPLAY_LEFT((head)->sph_root, field) == NULL) { \
197  (head)->sph_root = SPLAY_RIGHT((head)->sph_root, field); \
198  } else { \
199  __tmp = SPLAY_RIGHT((head)->sph_root, field); \
200  (head)->sph_root = SPLAY_LEFT((head)->sph_root, field); \
201  name##_SPLAY(head, elm); \
202  SPLAY_RIGHT((head)->sph_root, field) = __tmp; \
203  } \
204  return (elm); \
205  } \
206  return (NULL); \
207 } \
208  \
209 void \
210 name##_SPLAY(struct name *head, struct type *elm) \
211 { \
212  struct type __node, *__left, *__right, *__tmp; \
213  int __comp; \
214  \
215  SPLAY_LEFT(&__node, field) = SPLAY_RIGHT(&__node, field) = NULL; \
216  __left = __right = &__node; \
217  \
218  while ((__comp = (cmp)(elm, (head)->sph_root)) != 0) { \
219  if (__comp < 0) { \
220  __tmp = SPLAY_LEFT((head)->sph_root, field); \
221  if (__tmp == NULL) \
222  break; \
223  if ((cmp)(elm, __tmp) < 0){ \
224  SPLAY_ROTATE_RIGHT(head, __tmp, field); \
225  if (SPLAY_LEFT((head)->sph_root, field) == NULL) \
226  break; \
227  } \
228  SPLAY_LINKLEFT(head, __right, field); \
229  } else if (__comp > 0) { \
230  __tmp = SPLAY_RIGHT((head)->sph_root, field); \
231  if (__tmp == NULL) \
232  break; \
233  if ((cmp)(elm, __tmp) > 0){ \
234  SPLAY_ROTATE_LEFT(head, __tmp, field); \
235  if (SPLAY_RIGHT((head)->sph_root, field) == NULL) \
236  break; \
237  } \
238  SPLAY_LINKRIGHT(head, __left, field); \
239  } \
240  } \
241  SPLAY_ASSEMBLE(head, &__node, __left, __right, field); \
242 } \
243  \
244 /* Splay with either the minimum or the maximum element \
245  * Used to find minimum or maximum element in tree. \
246  */ \
247 void name##_SPLAY_MINMAX(struct name *head, int __comp) \
248 { \
249  struct type __node, *__left, *__right, *__tmp; \
250  \
251  SPLAY_LEFT(&__node, field) = SPLAY_RIGHT(&__node, field) = NULL; \
252  __left = __right = &__node; \
253  \
254  while (1) { \
255  if (__comp < 0) { \
256  __tmp = SPLAY_LEFT((head)->sph_root, field); \
257  if (__tmp == NULL) \
258  break; \
259  if (__comp < 0){ \
260  SPLAY_ROTATE_RIGHT(head, __tmp, field); \
261  if (SPLAY_LEFT((head)->sph_root, field) == NULL) \
262  break; \
263  } \
264  SPLAY_LINKLEFT(head, __right, field); \
265  } else if (__comp > 0) { \
266  __tmp = SPLAY_RIGHT((head)->sph_root, field); \
267  if (__tmp == NULL) \
268  break; \
269  if (__comp > 0) { \
270  SPLAY_ROTATE_LEFT(head, __tmp, field); \
271  if (SPLAY_RIGHT((head)->sph_root, field) == NULL) \
272  break; \
273  } \
274  SPLAY_LINKRIGHT(head, __left, field); \
275  } \
276  } \
277  SPLAY_ASSEMBLE(head, &__node, __left, __right, field); \
278 }
279 
280 #define SPLAY_NEGINF -1
281 #define SPLAY_INF 1
282 
283 #define SPLAY_INSERT(name, x, y) name##_SPLAY_INSERT(x, y)
284 #define SPLAY_REMOVE(name, x, y) name##_SPLAY_REMOVE(x, y)
285 #define SPLAY_FIND(name, x, y) name##_SPLAY_FIND(x, y)
286 #define SPLAY_NEXT(name, x, y) name##_SPLAY_NEXT(x, y)
287 #define SPLAY_MIN(name, x) (SPLAY_EMPTY(x) ? NULL \
288  : name##_SPLAY_MIN_MAX(x, SPLAY_NEGINF))
289 #define SPLAY_MAX(name, x) (SPLAY_EMPTY(x) ? NULL \
290  : name##_SPLAY_MIN_MAX(x, SPLAY_INF))
291 
292 #define SPLAY_FOREACH(x, name, head) \
293  for ((x) = SPLAY_MIN(name, head); \
294  (x) != NULL; \
295  (x) = SPLAY_NEXT(name, head, x))
296 
297 /* Macros that define a red-black tree */
298 #define RB_HEAD(name, type) \
299 struct name { \
300  struct type *rbh_root; /* root of the tree */ \
301 }
302 
303 #define RB_INITIALIZER(root) \
304  { NULL }
305 
306 #define RB_INIT(root) do { \
307  (root)->rbh_root = NULL; \
308 } while (/*CONSTCOND*/ 0)
309 
310 #define RB_BLACK 0
311 #define RB_RED 1
312 #define RB_ENTRY(type) \
313 struct { \
314  struct type *rbe_left; /* left element */ \
315  struct type *rbe_right; /* right element */ \
316  struct type *rbe_parent; /* parent element */ \
317  int rbe_color; /* node color */ \
318 }
319 
320 #define RB_LEFT(elm, field) (elm)->field.rbe_left
321 #define RB_RIGHT(elm, field) (elm)->field.rbe_right
322 #define RB_PARENT(elm, field) (elm)->field.rbe_parent
323 #define RB_COLOR(elm, field) (elm)->field.rbe_color
324 #define RB_ROOT(head) (head)->rbh_root
325 #define RB_EMPTY(head) (RB_ROOT(head) == NULL)
326 
327 #define RB_SET(elm, parent, field) do { \
328  RB_PARENT(elm, field) = parent; \
329  RB_LEFT(elm, field) = RB_RIGHT(elm, field) = NULL; \
330  RB_COLOR(elm, field) = RB_RED; \
331 } while (/*CONSTCOND*/ 0)
332 
333 #define RB_SET_BLACKRED(black, red, field) do { \
334  RB_COLOR(black, field) = RB_BLACK; \
335  RB_COLOR(red, field) = RB_RED; \
336 } while (/*CONSTCOND*/ 0)
337 
338 #ifndef RB_AUGMENT
339 #define RB_AUGMENT(x) do {} while (0)
340 #endif
341 
342 #define RB_ROTATE_LEFT(head, elm, tmp, field) do { \
343  (tmp) = RB_RIGHT(elm, field); \
344  if ((RB_RIGHT(elm, field) = RB_LEFT(tmp, field)) != NULL) { \
345  RB_PARENT(RB_LEFT(tmp, field), field) = (elm); \
346  } \
347  RB_AUGMENT(elm); \
348  if ((RB_PARENT(tmp, field) = RB_PARENT(elm, field)) != NULL) { \
349  if ((elm) == RB_LEFT(RB_PARENT(elm, field), field)) \
350  RB_LEFT(RB_PARENT(elm, field), field) = (tmp); \
351  else \
352  RB_RIGHT(RB_PARENT(elm, field), field) = (tmp); \
353  } else \
354  (head)->rbh_root = (tmp); \
355  RB_LEFT(tmp, field) = (elm); \
356  RB_PARENT(elm, field) = (tmp); \
357  RB_AUGMENT(tmp); \
358  if ((RB_PARENT(tmp, field))) \
359  RB_AUGMENT(RB_PARENT(tmp, field)); \
360 } while (/*CONSTCOND*/ 0)
361 
362 #define RB_ROTATE_RIGHT(head, elm, tmp, field) do { \
363  (tmp) = RB_LEFT(elm, field); \
364  if ((RB_LEFT(elm, field) = RB_RIGHT(tmp, field)) != NULL) { \
365  RB_PARENT(RB_RIGHT(tmp, field), field) = (elm); \
366  } \
367  RB_AUGMENT(elm); \
368  if ((RB_PARENT(tmp, field) = RB_PARENT(elm, field)) != NULL) { \
369  if ((elm) == RB_LEFT(RB_PARENT(elm, field), field)) \
370  RB_LEFT(RB_PARENT(elm, field), field) = (tmp); \
371  else \
372  RB_RIGHT(RB_PARENT(elm, field), field) = (tmp); \
373  } else \
374  (head)->rbh_root = (tmp); \
375  RB_RIGHT(tmp, field) = (elm); \
376  RB_PARENT(elm, field) = (tmp); \
377  RB_AUGMENT(tmp); \
378  if ((RB_PARENT(tmp, field))) \
379  RB_AUGMENT(RB_PARENT(tmp, field)); \
380 } while (/*CONSTCOND*/ 0)
381 
382 /* Generates prototypes and inline functions */
383 #define RB_PROTOTYPE(name, type, field, cmp) \
384  RB_PROTOTYPE_INTERNAL(name, type, field, cmp,)
385 #define RB_PROTOTYPE_STATIC(name, type, field, cmp) \
386  RB_PROTOTYPE_INTERNAL(name, type, field, cmp, UV__UNUSED static)
387 #define RB_PROTOTYPE_INTERNAL(name, type, field, cmp, attr) \
388 attr void name##_RB_INSERT_COLOR(struct name *, struct type *); \
389 attr void name##_RB_REMOVE_COLOR(struct name *, struct type *, struct type *);\
390 attr struct type *name##_RB_REMOVE(struct name *, struct type *); \
391 attr struct type *name##_RB_INSERT(struct name *, struct type *); \
392 attr struct type *name##_RB_FIND(struct name *, struct type *); \
393 attr struct type *name##_RB_NFIND(struct name *, struct type *); \
394 attr struct type *name##_RB_NEXT(struct type *); \
395 attr struct type *name##_RB_PREV(struct type *); \
396 attr struct type *name##_RB_MINMAX(struct name *, int); \
397  \
398 
399 /* Main rb operation.
400  * Moves node close to the key of elm to top
401  */
402 #define RB_GENERATE(name, type, field, cmp) \
403  RB_GENERATE_INTERNAL(name, type, field, cmp,)
404 #define RB_GENERATE_STATIC(name, type, field, cmp) \
405  RB_GENERATE_INTERNAL(name, type, field, cmp, UV__UNUSED static)
406 #define RB_GENERATE_INTERNAL(name, type, field, cmp, attr) \
407 attr void \
408 name##_RB_INSERT_COLOR(struct name *head, struct type *elm) \
409 { \
410  struct type *parent, *gparent, *tmp; \
411  while ((parent = RB_PARENT(elm, field)) != NULL && \
412  RB_COLOR(parent, field) == RB_RED) { \
413  gparent = RB_PARENT(parent, field); \
414  if (parent == RB_LEFT(gparent, field)) { \
415  tmp = RB_RIGHT(gparent, field); \
416  if (tmp && RB_COLOR(tmp, field) == RB_RED) { \
417  RB_COLOR(tmp, field) = RB_BLACK; \
418  RB_SET_BLACKRED(parent, gparent, field); \
419  elm = gparent; \
420  continue; \
421  } \
422  if (RB_RIGHT(parent, field) == elm) { \
423  RB_ROTATE_LEFT(head, parent, tmp, field); \
424  tmp = parent; \
425  parent = elm; \
426  elm = tmp; \
427  } \
428  RB_SET_BLACKRED(parent, gparent, field); \
429  RB_ROTATE_RIGHT(head, gparent, tmp, field); \
430  } else { \
431  tmp = RB_LEFT(gparent, field); \
432  if (tmp && RB_COLOR(tmp, field) == RB_RED) { \
433  RB_COLOR(tmp, field) = RB_BLACK; \
434  RB_SET_BLACKRED(parent, gparent, field); \
435  elm = gparent; \
436  continue; \
437  } \
438  if (RB_LEFT(parent, field) == elm) { \
439  RB_ROTATE_RIGHT(head, parent, tmp, field); \
440  tmp = parent; \
441  parent = elm; \
442  elm = tmp; \
443  } \
444  RB_SET_BLACKRED(parent, gparent, field); \
445  RB_ROTATE_LEFT(head, gparent, tmp, field); \
446  } \
447  } \
448  RB_COLOR(head->rbh_root, field) = RB_BLACK; \
449 } \
450  \
451 attr void \
452 name##_RB_REMOVE_COLOR(struct name *head, struct type *parent, \
453  struct type *elm) \
454 { \
455  struct type *tmp; \
456  while ((elm == NULL || RB_COLOR(elm, field) == RB_BLACK) && \
457  elm != RB_ROOT(head)) { \
458  if (RB_LEFT(parent, field) == elm) { \
459  tmp = RB_RIGHT(parent, field); \
460  if (RB_COLOR(tmp, field) == RB_RED) { \
461  RB_SET_BLACKRED(tmp, parent, field); \
462  RB_ROTATE_LEFT(head, parent, tmp, field); \
463  tmp = RB_RIGHT(parent, field); \
464  } \
465  if ((RB_LEFT(tmp, field) == NULL || \
466  RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) && \
467  (RB_RIGHT(tmp, field) == NULL || \
468  RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK)) { \
469  RB_COLOR(tmp, field) = RB_RED; \
470  elm = parent; \
471  parent = RB_PARENT(elm, field); \
472  } else { \
473  if (RB_RIGHT(tmp, field) == NULL || \
474  RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK) { \
475  struct type *oleft; \
476  if ((oleft = RB_LEFT(tmp, field)) \
477  != NULL) \
478  RB_COLOR(oleft, field) = RB_BLACK; \
479  RB_COLOR(tmp, field) = RB_RED; \
480  RB_ROTATE_RIGHT(head, tmp, oleft, field); \
481  tmp = RB_RIGHT(parent, field); \
482  } \
483  RB_COLOR(tmp, field) = RB_COLOR(parent, field); \
484  RB_COLOR(parent, field) = RB_BLACK; \
485  if (RB_RIGHT(tmp, field)) \
486  RB_COLOR(RB_RIGHT(tmp, field), field) = RB_BLACK; \
487  RB_ROTATE_LEFT(head, parent, tmp, field); \
488  elm = RB_ROOT(head); \
489  break; \
490  } \
491  } else { \
492  tmp = RB_LEFT(parent, field); \
493  if (RB_COLOR(tmp, field) == RB_RED) { \
494  RB_SET_BLACKRED(tmp, parent, field); \
495  RB_ROTATE_RIGHT(head, parent, tmp, field); \
496  tmp = RB_LEFT(parent, field); \
497  } \
498  if ((RB_LEFT(tmp, field) == NULL || \
499  RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) && \
500  (RB_RIGHT(tmp, field) == NULL || \
501  RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK)) { \
502  RB_COLOR(tmp, field) = RB_RED; \
503  elm = parent; \
504  parent = RB_PARENT(elm, field); \
505  } else { \
506  if (RB_LEFT(tmp, field) == NULL || \
507  RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) { \
508  struct type *oright; \
509  if ((oright = RB_RIGHT(tmp, field)) \
510  != NULL) \
511  RB_COLOR(oright, field) = RB_BLACK; \
512  RB_COLOR(tmp, field) = RB_RED; \
513  RB_ROTATE_LEFT(head, tmp, oright, field); \
514  tmp = RB_LEFT(parent, field); \
515  } \
516  RB_COLOR(tmp, field) = RB_COLOR(parent, field); \
517  RB_COLOR(parent, field) = RB_BLACK; \
518  if (RB_LEFT(tmp, field)) \
519  RB_COLOR(RB_LEFT(tmp, field), field) = RB_BLACK; \
520  RB_ROTATE_RIGHT(head, parent, tmp, field); \
521  elm = RB_ROOT(head); \
522  break; \
523  } \
524  } \
525  } \
526  if (elm) \
527  RB_COLOR(elm, field) = RB_BLACK; \
528 } \
529  \
530 attr struct type * \
531 name##_RB_REMOVE(struct name *head, struct type *elm) \
532 { \
533  struct type *child, *parent, *old = elm; \
534  int color; \
535  if (RB_LEFT(elm, field) == NULL) \
536  child = RB_RIGHT(elm, field); \
537  else if (RB_RIGHT(elm, field) == NULL) \
538  child = RB_LEFT(elm, field); \
539  else { \
540  struct type *left; \
541  elm = RB_RIGHT(elm, field); \
542  while ((left = RB_LEFT(elm, field)) != NULL) \
543  elm = left; \
544  child = RB_RIGHT(elm, field); \
545  parent = RB_PARENT(elm, field); \
546  color = RB_COLOR(elm, field); \
547  if (child) \
548  RB_PARENT(child, field) = parent; \
549  if (parent) { \
550  if (RB_LEFT(parent, field) == elm) \
551  RB_LEFT(parent, field) = child; \
552  else \
553  RB_RIGHT(parent, field) = child; \
554  RB_AUGMENT(parent); \
555  } else \
556  RB_ROOT(head) = child; \
557  if (RB_PARENT(elm, field) == old) \
558  parent = elm; \
559  (elm)->field = (old)->field; \
560  if (RB_PARENT(old, field)) { \
561  if (RB_LEFT(RB_PARENT(old, field), field) == old) \
562  RB_LEFT(RB_PARENT(old, field), field) = elm; \
563  else \
564  RB_RIGHT(RB_PARENT(old, field), field) = elm; \
565  RB_AUGMENT(RB_PARENT(old, field)); \
566  } else \
567  RB_ROOT(head) = elm; \
568  RB_PARENT(RB_LEFT(old, field), field) = elm; \
569  if (RB_RIGHT(old, field)) \
570  RB_PARENT(RB_RIGHT(old, field), field) = elm; \
571  if (parent) { \
572  left = parent; \
573  do { \
574  RB_AUGMENT(left); \
575  } while ((left = RB_PARENT(left, field)) != NULL); \
576  } \
577  goto color; \
578  } \
579  parent = RB_PARENT(elm, field); \
580  color = RB_COLOR(elm, field); \
581  if (child) \
582  RB_PARENT(child, field) = parent; \
583  if (parent) { \
584  if (RB_LEFT(parent, field) == elm) \
585  RB_LEFT(parent, field) = child; \
586  else \
587  RB_RIGHT(parent, field) = child; \
588  RB_AUGMENT(parent); \
589  } else \
590  RB_ROOT(head) = child; \
591 color: \
592  if (color == RB_BLACK) \
593  name##_RB_REMOVE_COLOR(head, parent, child); \
594  return (old); \
595 } \
596  \
597 /* Inserts a node into the RB tree */ \
598 attr struct type * \
599 name##_RB_INSERT(struct name *head, struct type *elm) \
600 { \
601  struct type *tmp; \
602  struct type *parent = NULL; \
603  int comp = 0; \
604  tmp = RB_ROOT(head); \
605  while (tmp) { \
606  parent = tmp; \
607  comp = (cmp)(elm, parent); \
608  if (comp < 0) \
609  tmp = RB_LEFT(tmp, field); \
610  else if (comp > 0) \
611  tmp = RB_RIGHT(tmp, field); \
612  else \
613  return (tmp); \
614  } \
615  RB_SET(elm, parent, field); \
616  if (parent != NULL) { \
617  if (comp < 0) \
618  RB_LEFT(parent, field) = elm; \
619  else \
620  RB_RIGHT(parent, field) = elm; \
621  RB_AUGMENT(parent); \
622  } else \
623  RB_ROOT(head) = elm; \
624  name##_RB_INSERT_COLOR(head, elm); \
625  return (NULL); \
626 } \
627  \
628 /* Finds the node with the same key as elm */ \
629 attr struct type * \
630 name##_RB_FIND(struct name *head, struct type *elm) \
631 { \
632  struct type *tmp = RB_ROOT(head); \
633  int comp; \
634  while (tmp) { \
635  comp = cmp(elm, tmp); \
636  if (comp < 0) \
637  tmp = RB_LEFT(tmp, field); \
638  else if (comp > 0) \
639  tmp = RB_RIGHT(tmp, field); \
640  else \
641  return (tmp); \
642  } \
643  return (NULL); \
644 } \
645  \
646 /* Finds the first node greater than or equal to the search key */ \
647 attr struct type * \
648 name##_RB_NFIND(struct name *head, struct type *elm) \
649 { \
650  struct type *tmp = RB_ROOT(head); \
651  struct type *res = NULL; \
652  int comp; \
653  while (tmp) { \
654  comp = cmp(elm, tmp); \
655  if (comp < 0) { \
656  res = tmp; \
657  tmp = RB_LEFT(tmp, field); \
658  } \
659  else if (comp > 0) \
660  tmp = RB_RIGHT(tmp, field); \
661  else \
662  return (tmp); \
663  } \
664  return (res); \
665 } \
666  \
667 /* ARGSUSED */ \
668 attr struct type * \
669 name##_RB_NEXT(struct type *elm) \
670 { \
671  if (RB_RIGHT(elm, field)) { \
672  elm = RB_RIGHT(elm, field); \
673  while (RB_LEFT(elm, field)) \
674  elm = RB_LEFT(elm, field); \
675  } else { \
676  if (RB_PARENT(elm, field) && \
677  (elm == RB_LEFT(RB_PARENT(elm, field), field))) \
678  elm = RB_PARENT(elm, field); \
679  else { \
680  while (RB_PARENT(elm, field) && \
681  (elm == RB_RIGHT(RB_PARENT(elm, field), field))) \
682  elm = RB_PARENT(elm, field); \
683  elm = RB_PARENT(elm, field); \
684  } \
685  } \
686  return (elm); \
687 } \
688  \
689 /* ARGSUSED */ \
690 attr struct type * \
691 name##_RB_PREV(struct type *elm) \
692 { \
693  if (RB_LEFT(elm, field)) { \
694  elm = RB_LEFT(elm, field); \
695  while (RB_RIGHT(elm, field)) \
696  elm = RB_RIGHT(elm, field); \
697  } else { \
698  if (RB_PARENT(elm, field) && \
699  (elm == RB_RIGHT(RB_PARENT(elm, field), field))) \
700  elm = RB_PARENT(elm, field); \
701  else { \
702  while (RB_PARENT(elm, field) && \
703  (elm == RB_LEFT(RB_PARENT(elm, field), field))) \
704  elm = RB_PARENT(elm, field); \
705  elm = RB_PARENT(elm, field); \
706  } \
707  } \
708  return (elm); \
709 } \
710  \
711 attr struct type * \
712 name##_RB_MINMAX(struct name *head, int val) \
713 { \
714  struct type *tmp = RB_ROOT(head); \
715  struct type *parent = NULL; \
716  while (tmp) { \
717  parent = tmp; \
718  if (val < 0) \
719  tmp = RB_LEFT(tmp, field); \
720  else \
721  tmp = RB_RIGHT(tmp, field); \
722  } \
723  return (parent); \
724 }
725 
726 #define RB_NEGINF -1
727 #define RB_INF 1
728 
729 #define RB_INSERT(name, x, y) name##_RB_INSERT(x, y)
730 #define RB_REMOVE(name, x, y) name##_RB_REMOVE(x, y)
731 #define RB_FIND(name, x, y) name##_RB_FIND(x, y)
732 #define RB_NFIND(name, x, y) name##_RB_NFIND(x, y)
733 #define RB_NEXT(name, x, y) name##_RB_NEXT(y)
734 #define RB_PREV(name, x, y) name##_RB_PREV(y)
735 #define RB_MIN(name, x) name##_RB_MINMAX(x, RB_NEGINF)
736 #define RB_MAX(name, x) name##_RB_MINMAX(x, RB_INF)
737 
738 #define RB_FOREACH(x, name, head) \
739  for ((x) = RB_MIN(name, head); \
740  (x) != NULL; \
741  (x) = name##_RB_NEXT(x))
742 
743 #define RB_FOREACH_FROM(x, name, y) \
744  for ((x) = (y); \
745  ((x) != NULL) && ((y) = name##_RB_NEXT(x), (x) != NULL); \
746  (x) = (y))
747 
748 #define RB_FOREACH_SAFE(x, name, head, y) \
749  for ((x) = RB_MIN(name, head); \
750  ((x) != NULL) && ((y) = name##_RB_NEXT(x), (x) != NULL); \
751  (x) = (y))
752 
753 #define RB_FOREACH_REVERSE(x, name, head) \
754  for ((x) = RB_MAX(name, head); \
755  (x) != NULL; \
756  (x) = name##_RB_PREV(x))
757 
758 #define RB_FOREACH_REVERSE_FROM(x, name, y) \
759  for ((x) = (y); \
760  ((x) != NULL) && ((y) = name##_RB_PREV(x), (x) != NULL); \
761  (x) = (y))
762 
763 #define RB_FOREACH_REVERSE_SAFE(x, name, head, y) \
764  for ((x) = RB_MAX(name, head); \
765  ((x) != NULL) && ((y) = name##_RB_PREV(x), (x) != NULL); \
766  (x) = (y))
767 
768 #endif /* UV_TREE_H_ */