]>
Commit | Line | Data |
---|---|---|
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; | |
55a98102 | 29 | struct rb_node *parent = rb_parent(node); |
1da177e4 LT |
30 | |
31 | if ((node->rb_right = right->rb_left)) | |
55a98102 | 32 | rb_set_parent(right->rb_left, node); |
1da177e4 LT |
33 | right->rb_left = node; |
34 | ||
55a98102 DW |
35 | rb_set_parent(right, parent); |
36 | ||
37 | if (parent) | |
1da177e4 | 38 | { |
55a98102 DW |
39 | if (node == parent->rb_left) |
40 | parent->rb_left = right; | |
1da177e4 | 41 | else |
55a98102 | 42 | parent->rb_right = right; |
1da177e4 LT |
43 | } |
44 | else | |
45 | root->rb_node = right; | |
55a98102 | 46 | rb_set_parent(node, right); |
1da177e4 LT |
47 | } |
48 | ||
49 | static void __rb_rotate_right(struct rb_node *node, struct rb_root *root) | |
50 | { | |
51 | struct rb_node *left = node->rb_left; | |
55a98102 | 52 | struct rb_node *parent = rb_parent(node); |
1da177e4 LT |
53 | |
54 | if ((node->rb_left = left->rb_right)) | |
55a98102 | 55 | rb_set_parent(left->rb_right, node); |
1da177e4 LT |
56 | left->rb_right = node; |
57 | ||
55a98102 DW |
58 | rb_set_parent(left, parent); |
59 | ||
60 | if (parent) | |
1da177e4 | 61 | { |
55a98102 DW |
62 | if (node == parent->rb_right) |
63 | parent->rb_right = left; | |
1da177e4 | 64 | else |
55a98102 | 65 | parent->rb_left = left; |
1da177e4 LT |
66 | } |
67 | else | |
68 | root->rb_node = left; | |
55a98102 | 69 | rb_set_parent(node, left); |
1da177e4 LT |
70 | } |
71 | ||
72 | void rb_insert_color(struct rb_node *node, struct rb_root *root) | |
73 | { | |
74 | struct rb_node *parent, *gparent; | |
75 | ||
55a98102 | 76 | while ((parent = rb_parent(node)) && rb_is_red(parent)) |
1da177e4 | 77 | { |
55a98102 | 78 | gparent = rb_parent(parent); |
1da177e4 LT |
79 | |
80 | if (parent == gparent->rb_left) | |
81 | { | |
82 | { | |
83 | register struct rb_node *uncle = gparent->rb_right; | |
55a98102 | 84 | if (uncle && rb_is_red(uncle)) |
1da177e4 | 85 | { |
55a98102 DW |
86 | rb_set_black(uncle); |
87 | rb_set_black(parent); | |
88 | rb_set_red(gparent); | |
1da177e4 LT |
89 | node = gparent; |
90 | continue; | |
91 | } | |
92 | } | |
93 | ||
94 | if (parent->rb_right == node) | |
95 | { | |
96 | register struct rb_node *tmp; | |
97 | __rb_rotate_left(parent, root); | |
98 | tmp = parent; | |
99 | parent = node; | |
100 | node = tmp; | |
101 | } | |
102 | ||
55a98102 DW |
103 | rb_set_black(parent); |
104 | rb_set_red(gparent); | |
1da177e4 LT |
105 | __rb_rotate_right(gparent, root); |
106 | } else { | |
107 | { | |
108 | register struct rb_node *uncle = gparent->rb_left; | |
55a98102 | 109 | if (uncle && rb_is_red(uncle)) |
1da177e4 | 110 | { |
55a98102 DW |
111 | rb_set_black(uncle); |
112 | rb_set_black(parent); | |
113 | rb_set_red(gparent); | |
1da177e4 LT |
114 | node = gparent; |
115 | continue; | |
116 | } | |
117 | } | |
118 | ||
119 | if (parent->rb_left == node) | |
120 | { | |
121 | register struct rb_node *tmp; | |
122 | __rb_rotate_right(parent, root); | |
123 | tmp = parent; | |
124 | parent = node; | |
125 | node = tmp; | |
126 | } | |
127 | ||
55a98102 DW |
128 | rb_set_black(parent); |
129 | rb_set_red(gparent); | |
1da177e4 LT |
130 | __rb_rotate_left(gparent, root); |
131 | } | |
132 | } | |
133 | ||
55a98102 | 134 | rb_set_black(root->rb_node); |
1da177e4 LT |
135 | } |
136 | EXPORT_SYMBOL(rb_insert_color); | |
137 | ||
138 | static void __rb_erase_color(struct rb_node *node, struct rb_node *parent, | |
139 | struct rb_root *root) | |
140 | { | |
141 | struct rb_node *other; | |
142 | ||
55a98102 | 143 | while ((!node || rb_is_black(node)) && node != root->rb_node) |
1da177e4 LT |
144 | { |
145 | if (parent->rb_left == node) | |
146 | { | |
147 | other = parent->rb_right; | |
55a98102 | 148 | if (rb_is_red(other)) |
1da177e4 | 149 | { |
55a98102 DW |
150 | rb_set_black(other); |
151 | rb_set_red(parent); | |
1da177e4 LT |
152 | __rb_rotate_left(parent, root); |
153 | other = parent->rb_right; | |
154 | } | |
55a98102 DW |
155 | if ((!other->rb_left || rb_is_black(other->rb_left)) && |
156 | (!other->rb_right || rb_is_black(other->rb_right))) | |
1da177e4 | 157 | { |
55a98102 | 158 | rb_set_red(other); |
1da177e4 | 159 | node = parent; |
55a98102 | 160 | parent = rb_parent(node); |
1da177e4 LT |
161 | } |
162 | else | |
163 | { | |
55a98102 | 164 | if (!other->rb_right || rb_is_black(other->rb_right)) |
1da177e4 | 165 | { |
55a63998 | 166 | rb_set_black(other->rb_left); |
55a98102 | 167 | rb_set_red(other); |
1da177e4 LT |
168 | __rb_rotate_right(other, root); |
169 | other = parent->rb_right; | |
170 | } | |
2f3243ae | 171 | rb_set_color(other, rb_color(parent)); |
55a98102 | 172 | rb_set_black(parent); |
55a63998 | 173 | rb_set_black(other->rb_right); |
1da177e4 LT |
174 | __rb_rotate_left(parent, root); |
175 | node = root->rb_node; | |
176 | break; | |
177 | } | |
178 | } | |
179 | else | |
180 | { | |
181 | other = parent->rb_left; | |
55a98102 | 182 | if (rb_is_red(other)) |
1da177e4 | 183 | { |
55a98102 DW |
184 | rb_set_black(other); |
185 | rb_set_red(parent); | |
1da177e4 LT |
186 | __rb_rotate_right(parent, root); |
187 | other = parent->rb_left; | |
188 | } | |
55a98102 DW |
189 | if ((!other->rb_left || rb_is_black(other->rb_left)) && |
190 | (!other->rb_right || rb_is_black(other->rb_right))) | |
1da177e4 | 191 | { |
55a98102 | 192 | rb_set_red(other); |
1da177e4 | 193 | node = parent; |
55a98102 | 194 | parent = rb_parent(node); |
1da177e4 LT |
195 | } |
196 | else | |
197 | { | |
55a98102 | 198 | if (!other->rb_left || rb_is_black(other->rb_left)) |
1da177e4 | 199 | { |
55a63998 | 200 | rb_set_black(other->rb_right); |
55a98102 | 201 | rb_set_red(other); |
1da177e4 LT |
202 | __rb_rotate_left(other, root); |
203 | other = parent->rb_left; | |
204 | } | |
2f3243ae | 205 | rb_set_color(other, rb_color(parent)); |
55a98102 | 206 | rb_set_black(parent); |
55a63998 | 207 | rb_set_black(other->rb_left); |
1da177e4 LT |
208 | __rb_rotate_right(parent, root); |
209 | node = root->rb_node; | |
210 | break; | |
211 | } | |
212 | } | |
213 | } | |
214 | if (node) | |
55a98102 | 215 | rb_set_black(node); |
1da177e4 LT |
216 | } |
217 | ||
218 | void rb_erase(struct rb_node *node, struct rb_root *root) | |
219 | { | |
220 | struct rb_node *child, *parent; | |
221 | int color; | |
222 | ||
223 | if (!node->rb_left) | |
224 | child = node->rb_right; | |
225 | else if (!node->rb_right) | |
226 | child = node->rb_left; | |
227 | else | |
228 | { | |
229 | struct rb_node *old = node, *left; | |
230 | ||
231 | node = node->rb_right; | |
232 | while ((left = node->rb_left) != NULL) | |
233 | node = left; | |
16c047ad WS |
234 | |
235 | if (rb_parent(old)) { | |
236 | if (rb_parent(old)->rb_left == old) | |
237 | rb_parent(old)->rb_left = node; | |
238 | else | |
239 | rb_parent(old)->rb_right = node; | |
240 | } else | |
241 | root->rb_node = node; | |
242 | ||
1da177e4 | 243 | child = node->rb_right; |
55a98102 | 244 | parent = rb_parent(node); |
2f3243ae | 245 | color = rb_color(node); |
1da177e4 | 246 | |
55a98102 | 247 | if (parent == old) { |
1da177e4 | 248 | parent = node; |
4c601178 WS |
249 | } else { |
250 | if (child) | |
251 | rb_set_parent(child, parent); | |
1975e593 | 252 | parent->rb_left = child; |
4b324126 WS |
253 | |
254 | node->rb_right = old->rb_right; | |
255 | rb_set_parent(old->rb_right, node); | |
4c601178 | 256 | } |
1975e593 | 257 | |
2f3243ae | 258 | node->rb_parent_color = old->rb_parent_color; |
1da177e4 | 259 | node->rb_left = old->rb_left; |
55a98102 | 260 | rb_set_parent(old->rb_left, node); |
4b324126 | 261 | |
1da177e4 LT |
262 | goto color; |
263 | } | |
264 | ||
55a98102 | 265 | parent = rb_parent(node); |
2f3243ae | 266 | color = rb_color(node); |
1da177e4 LT |
267 | |
268 | if (child) | |
55a98102 | 269 | rb_set_parent(child, parent); |
1da177e4 LT |
270 | if (parent) |
271 | { | |
272 | if (parent->rb_left == node) | |
273 | parent->rb_left = child; | |
274 | else | |
275 | parent->rb_right = child; | |
276 | } | |
277 | else | |
278 | root->rb_node = child; | |
279 | ||
280 | color: | |
281 | if (color == RB_BLACK) | |
282 | __rb_erase_color(child, parent, root); | |
283 | } | |
284 | EXPORT_SYMBOL(rb_erase); | |
285 | ||
286 | /* | |
287 | * This function returns the first node (in sort order) of the tree. | |
288 | */ | |
f4b477c4 | 289 | struct rb_node *rb_first(const struct rb_root *root) |
1da177e4 LT |
290 | { |
291 | struct rb_node *n; | |
292 | ||
293 | n = root->rb_node; | |
294 | if (!n) | |
295 | return NULL; | |
296 | while (n->rb_left) | |
297 | n = n->rb_left; | |
298 | return n; | |
299 | } | |
300 | EXPORT_SYMBOL(rb_first); | |
301 | ||
f4b477c4 | 302 | struct rb_node *rb_last(const struct rb_root *root) |
1da177e4 LT |
303 | { |
304 | struct rb_node *n; | |
305 | ||
306 | n = root->rb_node; | |
307 | if (!n) | |
308 | return NULL; | |
309 | while (n->rb_right) | |
310 | n = n->rb_right; | |
311 | return n; | |
312 | } | |
313 | EXPORT_SYMBOL(rb_last); | |
314 | ||
f4b477c4 | 315 | struct rb_node *rb_next(const struct rb_node *node) |
1da177e4 | 316 | { |
55a98102 DW |
317 | struct rb_node *parent; |
318 | ||
10fd48f2 JA |
319 | if (rb_parent(node) == node) |
320 | return NULL; | |
321 | ||
1da177e4 LT |
322 | /* If we have a right-hand child, go down and then left as far |
323 | as we can. */ | |
324 | if (node->rb_right) { | |
325 | node = node->rb_right; | |
326 | while (node->rb_left) | |
327 | node=node->rb_left; | |
f4b477c4 | 328 | return (struct rb_node *)node; |
1da177e4 LT |
329 | } |
330 | ||
331 | /* No right-hand children. Everything down and left is | |
332 | smaller than us, so any 'next' node must be in the general | |
333 | direction of our parent. Go up the tree; any time the | |
334 | ancestor is a right-hand child of its parent, keep going | |
335 | up. First time it's a left-hand child of its parent, said | |
336 | parent is our 'next' node. */ | |
55a98102 DW |
337 | while ((parent = rb_parent(node)) && node == parent->rb_right) |
338 | node = parent; | |
1da177e4 | 339 | |
55a98102 | 340 | return parent; |
1da177e4 LT |
341 | } |
342 | EXPORT_SYMBOL(rb_next); | |
343 | ||
f4b477c4 | 344 | struct rb_node *rb_prev(const struct rb_node *node) |
1da177e4 | 345 | { |
55a98102 DW |
346 | struct rb_node *parent; |
347 | ||
10fd48f2 JA |
348 | if (rb_parent(node) == node) |
349 | return NULL; | |
350 | ||
1da177e4 LT |
351 | /* If we have a left-hand child, go down and then right as far |
352 | as we can. */ | |
353 | if (node->rb_left) { | |
354 | node = node->rb_left; | |
355 | while (node->rb_right) | |
356 | node=node->rb_right; | |
f4b477c4 | 357 | return (struct rb_node *)node; |
1da177e4 LT |
358 | } |
359 | ||
360 | /* No left-hand children. Go up till we find an ancestor which | |
361 | is a right-hand child of its parent */ | |
55a98102 DW |
362 | while ((parent = rb_parent(node)) && node == parent->rb_left) |
363 | node = parent; | |
1da177e4 | 364 | |
55a98102 | 365 | return parent; |
1da177e4 LT |
366 | } |
367 | EXPORT_SYMBOL(rb_prev); | |
368 | ||
369 | void rb_replace_node(struct rb_node *victim, struct rb_node *new, | |
370 | struct rb_root *root) | |
371 | { | |
55a98102 | 372 | struct rb_node *parent = rb_parent(victim); |
1da177e4 LT |
373 | |
374 | /* Set the surrounding nodes to point to the replacement */ | |
375 | if (parent) { | |
376 | if (victim == parent->rb_left) | |
377 | parent->rb_left = new; | |
378 | else | |
379 | parent->rb_right = new; | |
380 | } else { | |
381 | root->rb_node = new; | |
382 | } | |
383 | if (victim->rb_left) | |
55a98102 | 384 | rb_set_parent(victim->rb_left, new); |
1da177e4 | 385 | if (victim->rb_right) |
55a98102 | 386 | rb_set_parent(victim->rb_right, new); |
1da177e4 LT |
387 | |
388 | /* Copy the pointers/colour from the victim to the replacement */ | |
389 | *new = *victim; | |
390 | } | |
391 | EXPORT_SYMBOL(rb_replace_node); |