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Commit | Line | Data |
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1da177e4 LT |
1 | /* |
2 | Red Black Trees | |
3 | (C) 1999 Andrea Arcangeli <[email protected]> | |
4 | (C) 2002 David Woodhouse <[email protected]> | |
5 | ||
6 | This program is free software; you can redistribute it and/or modify | |
7 | it under the terms of the GNU General Public License as published by | |
8 | the Free Software Foundation; either version 2 of the License, or | |
9 | (at your option) any later version. | |
10 | ||
11 | This program is distributed in the hope that it will be useful, | |
12 | but WITHOUT ANY WARRANTY; without even the implied warranty of | |
13 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
14 | GNU General Public License for more details. | |
15 | ||
16 | You should have received a copy of the GNU General Public License | |
17 | along with this program; if not, write to the Free Software | |
18 | Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA | |
19 | ||
20 | linux/lib/rbtree.c | |
21 | */ | |
22 | ||
23 | #include <linux/rbtree.h> | |
24 | #include <linux/module.h> | |
25 | ||
26 | static void __rb_rotate_left(struct rb_node *node, struct rb_root *root) | |
27 | { | |
28 | struct rb_node *right = node->rb_right; | |
29 | ||
30 | if ((node->rb_right = right->rb_left)) | |
31 | right->rb_left->rb_parent = node; | |
32 | right->rb_left = node; | |
33 | ||
34 | if ((right->rb_parent = node->rb_parent)) | |
35 | { | |
36 | if (node == node->rb_parent->rb_left) | |
37 | node->rb_parent->rb_left = right; | |
38 | else | |
39 | node->rb_parent->rb_right = right; | |
40 | } | |
41 | else | |
42 | root->rb_node = right; | |
43 | node->rb_parent = right; | |
44 | } | |
45 | ||
46 | static void __rb_rotate_right(struct rb_node *node, struct rb_root *root) | |
47 | { | |
48 | struct rb_node *left = node->rb_left; | |
49 | ||
50 | if ((node->rb_left = left->rb_right)) | |
51 | left->rb_right->rb_parent = node; | |
52 | left->rb_right = node; | |
53 | ||
54 | if ((left->rb_parent = node->rb_parent)) | |
55 | { | |
56 | if (node == node->rb_parent->rb_right) | |
57 | node->rb_parent->rb_right = left; | |
58 | else | |
59 | node->rb_parent->rb_left = left; | |
60 | } | |
61 | else | |
62 | root->rb_node = left; | |
63 | node->rb_parent = left; | |
64 | } | |
65 | ||
66 | void rb_insert_color(struct rb_node *node, struct rb_root *root) | |
67 | { | |
68 | struct rb_node *parent, *gparent; | |
69 | ||
70 | while ((parent = node->rb_parent) && parent->rb_color == RB_RED) | |
71 | { | |
72 | gparent = parent->rb_parent; | |
73 | ||
74 | if (parent == gparent->rb_left) | |
75 | { | |
76 | { | |
77 | register struct rb_node *uncle = gparent->rb_right; | |
78 | if (uncle && uncle->rb_color == RB_RED) | |
79 | { | |
80 | uncle->rb_color = RB_BLACK; | |
81 | parent->rb_color = RB_BLACK; | |
82 | gparent->rb_color = RB_RED; | |
83 | node = gparent; | |
84 | continue; | |
85 | } | |
86 | } | |
87 | ||
88 | if (parent->rb_right == node) | |
89 | { | |
90 | register struct rb_node *tmp; | |
91 | __rb_rotate_left(parent, root); | |
92 | tmp = parent; | |
93 | parent = node; | |
94 | node = tmp; | |
95 | } | |
96 | ||
97 | parent->rb_color = RB_BLACK; | |
98 | gparent->rb_color = RB_RED; | |
99 | __rb_rotate_right(gparent, root); | |
100 | } else { | |
101 | { | |
102 | register struct rb_node *uncle = gparent->rb_left; | |
103 | if (uncle && uncle->rb_color == RB_RED) | |
104 | { | |
105 | uncle->rb_color = RB_BLACK; | |
106 | parent->rb_color = RB_BLACK; | |
107 | gparent->rb_color = RB_RED; | |
108 | node = gparent; | |
109 | continue; | |
110 | } | |
111 | } | |
112 | ||
113 | if (parent->rb_left == node) | |
114 | { | |
115 | register struct rb_node *tmp; | |
116 | __rb_rotate_right(parent, root); | |
117 | tmp = parent; | |
118 | parent = node; | |
119 | node = tmp; | |
120 | } | |
121 | ||
122 | parent->rb_color = RB_BLACK; | |
123 | gparent->rb_color = RB_RED; | |
124 | __rb_rotate_left(gparent, root); | |
125 | } | |
126 | } | |
127 | ||
128 | root->rb_node->rb_color = RB_BLACK; | |
129 | } | |
130 | EXPORT_SYMBOL(rb_insert_color); | |
131 | ||
132 | static void __rb_erase_color(struct rb_node *node, struct rb_node *parent, | |
133 | struct rb_root *root) | |
134 | { | |
135 | struct rb_node *other; | |
136 | ||
137 | while ((!node || node->rb_color == RB_BLACK) && node != root->rb_node) | |
138 | { | |
139 | if (parent->rb_left == node) | |
140 | { | |
141 | other = parent->rb_right; | |
142 | if (other->rb_color == RB_RED) | |
143 | { | |
144 | other->rb_color = RB_BLACK; | |
145 | parent->rb_color = RB_RED; | |
146 | __rb_rotate_left(parent, root); | |
147 | other = parent->rb_right; | |
148 | } | |
149 | if ((!other->rb_left || | |
150 | other->rb_left->rb_color == RB_BLACK) | |
151 | && (!other->rb_right || | |
152 | other->rb_right->rb_color == RB_BLACK)) | |
153 | { | |
154 | other->rb_color = RB_RED; | |
155 | node = parent; | |
156 | parent = node->rb_parent; | |
157 | } | |
158 | else | |
159 | { | |
160 | if (!other->rb_right || | |
161 | other->rb_right->rb_color == RB_BLACK) | |
162 | { | |
163 | register struct rb_node *o_left; | |
164 | if ((o_left = other->rb_left)) | |
165 | o_left->rb_color = RB_BLACK; | |
166 | other->rb_color = RB_RED; | |
167 | __rb_rotate_right(other, root); | |
168 | other = parent->rb_right; | |
169 | } | |
170 | other->rb_color = parent->rb_color; | |
171 | parent->rb_color = RB_BLACK; | |
172 | if (other->rb_right) | |
173 | other->rb_right->rb_color = RB_BLACK; | |
174 | __rb_rotate_left(parent, root); | |
175 | node = root->rb_node; | |
176 | break; | |
177 | } | |
178 | } | |
179 | else | |
180 | { | |
181 | other = parent->rb_left; | |
182 | if (other->rb_color == RB_RED) | |
183 | { | |
184 | other->rb_color = RB_BLACK; | |
185 | parent->rb_color = RB_RED; | |
186 | __rb_rotate_right(parent, root); | |
187 | other = parent->rb_left; | |
188 | } | |
189 | if ((!other->rb_left || | |
190 | other->rb_left->rb_color == RB_BLACK) | |
191 | && (!other->rb_right || | |
192 | other->rb_right->rb_color == RB_BLACK)) | |
193 | { | |
194 | other->rb_color = RB_RED; | |
195 | node = parent; | |
196 | parent = node->rb_parent; | |
197 | } | |
198 | else | |
199 | { | |
200 | if (!other->rb_left || | |
201 | other->rb_left->rb_color == RB_BLACK) | |
202 | { | |
203 | register struct rb_node *o_right; | |
204 | if ((o_right = other->rb_right)) | |
205 | o_right->rb_color = RB_BLACK; | |
206 | other->rb_color = RB_RED; | |
207 | __rb_rotate_left(other, root); | |
208 | other = parent->rb_left; | |
209 | } | |
210 | other->rb_color = parent->rb_color; | |
211 | parent->rb_color = RB_BLACK; | |
212 | if (other->rb_left) | |
213 | other->rb_left->rb_color = RB_BLACK; | |
214 | __rb_rotate_right(parent, root); | |
215 | node = root->rb_node; | |
216 | break; | |
217 | } | |
218 | } | |
219 | } | |
220 | if (node) | |
221 | node->rb_color = RB_BLACK; | |
222 | } | |
223 | ||
224 | void rb_erase(struct rb_node *node, struct rb_root *root) | |
225 | { | |
226 | struct rb_node *child, *parent; | |
227 | int color; | |
228 | ||
229 | if (!node->rb_left) | |
230 | child = node->rb_right; | |
231 | else if (!node->rb_right) | |
232 | child = node->rb_left; | |
233 | else | |
234 | { | |
235 | struct rb_node *old = node, *left; | |
236 | ||
237 | node = node->rb_right; | |
238 | while ((left = node->rb_left) != NULL) | |
239 | node = left; | |
240 | child = node->rb_right; | |
241 | parent = node->rb_parent; | |
242 | color = node->rb_color; | |
243 | ||
244 | if (child) | |
245 | child->rb_parent = parent; | |
246 | if (parent) | |
247 | { | |
248 | if (parent->rb_left == node) | |
249 | parent->rb_left = child; | |
250 | else | |
251 | parent->rb_right = child; | |
252 | } | |
253 | else | |
254 | root->rb_node = child; | |
255 | ||
256 | if (node->rb_parent == old) | |
257 | parent = node; | |
258 | node->rb_parent = old->rb_parent; | |
259 | node->rb_color = old->rb_color; | |
260 | node->rb_right = old->rb_right; | |
261 | node->rb_left = old->rb_left; | |
262 | ||
263 | if (old->rb_parent) | |
264 | { | |
265 | if (old->rb_parent->rb_left == old) | |
266 | old->rb_parent->rb_left = node; | |
267 | else | |
268 | old->rb_parent->rb_right = node; | |
269 | } else | |
270 | root->rb_node = node; | |
271 | ||
272 | old->rb_left->rb_parent = node; | |
273 | if (old->rb_right) | |
274 | old->rb_right->rb_parent = node; | |
275 | goto color; | |
276 | } | |
277 | ||
278 | parent = node->rb_parent; | |
279 | color = node->rb_color; | |
280 | ||
281 | if (child) | |
282 | child->rb_parent = parent; | |
283 | if (parent) | |
284 | { | |
285 | if (parent->rb_left == node) | |
286 | parent->rb_left = child; | |
287 | else | |
288 | parent->rb_right = child; | |
289 | } | |
290 | else | |
291 | root->rb_node = child; | |
292 | ||
293 | color: | |
294 | if (color == RB_BLACK) | |
295 | __rb_erase_color(child, parent, root); | |
296 | } | |
297 | EXPORT_SYMBOL(rb_erase); | |
298 | ||
299 | /* | |
300 | * This function returns the first node (in sort order) of the tree. | |
301 | */ | |
302 | struct rb_node *rb_first(struct rb_root *root) | |
303 | { | |
304 | struct rb_node *n; | |
305 | ||
306 | n = root->rb_node; | |
307 | if (!n) | |
308 | return NULL; | |
309 | while (n->rb_left) | |
310 | n = n->rb_left; | |
311 | return n; | |
312 | } | |
313 | EXPORT_SYMBOL(rb_first); | |
314 | ||
315 | struct rb_node *rb_last(struct rb_root *root) | |
316 | { | |
317 | struct rb_node *n; | |
318 | ||
319 | n = root->rb_node; | |
320 | if (!n) | |
321 | return NULL; | |
322 | while (n->rb_right) | |
323 | n = n->rb_right; | |
324 | return n; | |
325 | } | |
326 | EXPORT_SYMBOL(rb_last); | |
327 | ||
328 | struct rb_node *rb_next(struct rb_node *node) | |
329 | { | |
330 | /* If we have a right-hand child, go down and then left as far | |
331 | as we can. */ | |
332 | if (node->rb_right) { | |
333 | node = node->rb_right; | |
334 | while (node->rb_left) | |
335 | node=node->rb_left; | |
336 | return node; | |
337 | } | |
338 | ||
339 | /* No right-hand children. Everything down and left is | |
340 | smaller than us, so any 'next' node must be in the general | |
341 | direction of our parent. Go up the tree; any time the | |
342 | ancestor is a right-hand child of its parent, keep going | |
343 | up. First time it's a left-hand child of its parent, said | |
344 | parent is our 'next' node. */ | |
345 | while (node->rb_parent && node == node->rb_parent->rb_right) | |
346 | node = node->rb_parent; | |
347 | ||
348 | return node->rb_parent; | |
349 | } | |
350 | EXPORT_SYMBOL(rb_next); | |
351 | ||
352 | struct rb_node *rb_prev(struct rb_node *node) | |
353 | { | |
354 | /* If we have a left-hand child, go down and then right as far | |
355 | as we can. */ | |
356 | if (node->rb_left) { | |
357 | node = node->rb_left; | |
358 | while (node->rb_right) | |
359 | node=node->rb_right; | |
360 | return node; | |
361 | } | |
362 | ||
363 | /* No left-hand children. Go up till we find an ancestor which | |
364 | is a right-hand child of its parent */ | |
365 | while (node->rb_parent && node == node->rb_parent->rb_left) | |
366 | node = node->rb_parent; | |
367 | ||
368 | return node->rb_parent; | |
369 | } | |
370 | EXPORT_SYMBOL(rb_prev); | |
371 | ||
372 | void rb_replace_node(struct rb_node *victim, struct rb_node *new, | |
373 | struct rb_root *root) | |
374 | { | |
375 | struct rb_node *parent = victim->rb_parent; | |
376 | ||
377 | /* Set the surrounding nodes to point to the replacement */ | |
378 | if (parent) { | |
379 | if (victim == parent->rb_left) | |
380 | parent->rb_left = new; | |
381 | else | |
382 | parent->rb_right = new; | |
383 | } else { | |
384 | root->rb_node = new; | |
385 | } | |
386 | if (victim->rb_left) | |
387 | victim->rb_left->rb_parent = new; | |
388 | if (victim->rb_right) | |
389 | victim->rb_right->rb_parent = new; | |
390 | ||
391 | /* Copy the pointers/colour from the victim to the replacement */ | |
392 | *new = *victim; | |
393 | } | |
394 | EXPORT_SYMBOL(rb_replace_node); |