diff options
Diffstat (limited to 'lib/rbtree.c')
-rw-r--r-- | lib/rbtree.c | 656 |
1 files changed, 350 insertions, 306 deletions
diff --git a/lib/rbtree.c b/lib/rbtree.c index d4175565dc2c..4f56a11d67fa 100644 --- a/lib/rbtree.c +++ b/lib/rbtree.c | |||
@@ -2,7 +2,8 @@ | |||
2 | Red Black Trees | 2 | Red Black Trees |
3 | (C) 1999 Andrea Arcangeli <andrea@suse.de> | 3 | (C) 1999 Andrea Arcangeli <andrea@suse.de> |
4 | (C) 2002 David Woodhouse <dwmw2@infradead.org> | 4 | (C) 2002 David Woodhouse <dwmw2@infradead.org> |
5 | 5 | (C) 2012 Michel Lespinasse <walken@google.com> | |
6 | |||
6 | This program is free software; you can redistribute it and/or modify | 7 | 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 | 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 | the Free Software Foundation; either version 2 of the License, or |
@@ -20,339 +21,382 @@ | |||
20 | linux/lib/rbtree.c | 21 | linux/lib/rbtree.c |
21 | */ | 22 | */ |
22 | 23 | ||
23 | #include <linux/rbtree.h> | 24 | #include <linux/rbtree_augmented.h> |
24 | #include <linux/export.h> | 25 | #include <linux/export.h> |
25 | 26 | ||
26 | static void __rb_rotate_left(struct rb_node *node, struct rb_root *root) | 27 | /* |
27 | { | 28 | * red-black trees properties: http://en.wikipedia.org/wiki/Rbtree |
28 | struct rb_node *right = node->rb_right; | 29 | * |
29 | struct rb_node *parent = rb_parent(node); | 30 | * 1) A node is either red or black |
30 | 31 | * 2) The root is black | |
31 | if ((node->rb_right = right->rb_left)) | 32 | * 3) All leaves (NULL) are black |
32 | rb_set_parent(right->rb_left, node); | 33 | * 4) Both children of every red node are black |
33 | right->rb_left = node; | 34 | * 5) Every simple path from root to leaves contains the same number |
34 | 35 | * of black nodes. | |
35 | rb_set_parent(right, parent); | 36 | * |
37 | * 4 and 5 give the O(log n) guarantee, since 4 implies you cannot have two | ||
38 | * consecutive red nodes in a path and every red node is therefore followed by | ||
39 | * a black. So if B is the number of black nodes on every simple path (as per | ||
40 | * 5), then the longest possible path due to 4 is 2B. | ||
41 | * | ||
42 | * We shall indicate color with case, where black nodes are uppercase and red | ||
43 | * nodes will be lowercase. Unknown color nodes shall be drawn as red within | ||
44 | * parentheses and have some accompanying text comment. | ||
45 | */ | ||
36 | 46 | ||
37 | if (parent) | 47 | static inline void rb_set_black(struct rb_node *rb) |
38 | { | 48 | { |
39 | if (node == parent->rb_left) | 49 | rb->__rb_parent_color |= RB_BLACK; |
40 | parent->rb_left = right; | ||
41 | else | ||
42 | parent->rb_right = right; | ||
43 | } | ||
44 | else | ||
45 | root->rb_node = right; | ||
46 | rb_set_parent(node, right); | ||
47 | } | 50 | } |
48 | 51 | ||
49 | static void __rb_rotate_right(struct rb_node *node, struct rb_root *root) | 52 | static inline struct rb_node *rb_red_parent(struct rb_node *red) |
50 | { | 53 | { |
51 | struct rb_node *left = node->rb_left; | 54 | return (struct rb_node *)red->__rb_parent_color; |
52 | struct rb_node *parent = rb_parent(node); | 55 | } |
53 | |||
54 | if ((node->rb_left = left->rb_right)) | ||
55 | rb_set_parent(left->rb_right, node); | ||
56 | left->rb_right = node; | ||
57 | |||
58 | rb_set_parent(left, parent); | ||
59 | 56 | ||
60 | if (parent) | 57 | /* |
61 | { | 58 | * Helper function for rotations: |
62 | if (node == parent->rb_right) | 59 | * - old's parent and color get assigned to new |
63 | parent->rb_right = left; | 60 | * - old gets assigned new as a parent and 'color' as a color. |
64 | else | 61 | */ |
65 | parent->rb_left = left; | 62 | static inline void |
66 | } | 63 | __rb_rotate_set_parents(struct rb_node *old, struct rb_node *new, |
67 | else | 64 | struct rb_root *root, int color) |
68 | root->rb_node = left; | 65 | { |
69 | rb_set_parent(node, left); | 66 | struct rb_node *parent = rb_parent(old); |
67 | new->__rb_parent_color = old->__rb_parent_color; | ||
68 | rb_set_parent_color(old, new, color); | ||
69 | __rb_change_child(old, new, parent, root); | ||
70 | } | 70 | } |
71 | 71 | ||
72 | void rb_insert_color(struct rb_node *node, struct rb_root *root) | 72 | static __always_inline void |
73 | __rb_insert(struct rb_node *node, struct rb_root *root, | ||
74 | void (*augment_rotate)(struct rb_node *old, struct rb_node *new)) | ||
73 | { | 75 | { |
74 | struct rb_node *parent, *gparent; | 76 | struct rb_node *parent = rb_red_parent(node), *gparent, *tmp; |
75 | 77 | ||
76 | while ((parent = rb_parent(node)) && rb_is_red(parent)) | 78 | while (true) { |
77 | { | 79 | /* |
78 | gparent = rb_parent(parent); | 80 | * Loop invariant: node is red |
79 | 81 | * | |
80 | if (parent == gparent->rb_left) | 82 | * If there is a black parent, we are done. |
81 | { | 83 | * Otherwise, take some corrective action as we don't |
82 | { | 84 | * want a red root or two consecutive red nodes. |
83 | register struct rb_node *uncle = gparent->rb_right; | 85 | */ |
84 | if (uncle && rb_is_red(uncle)) | 86 | if (!parent) { |
85 | { | 87 | rb_set_parent_color(node, NULL, RB_BLACK); |
86 | rb_set_black(uncle); | 88 | break; |
87 | rb_set_black(parent); | 89 | } else if (rb_is_black(parent)) |
88 | rb_set_red(gparent); | 90 | break; |
89 | node = gparent; | 91 | |
90 | continue; | 92 | gparent = rb_red_parent(parent); |
91 | } | 93 | |
94 | tmp = gparent->rb_right; | ||
95 | if (parent != tmp) { /* parent == gparent->rb_left */ | ||
96 | if (tmp && rb_is_red(tmp)) { | ||
97 | /* | ||
98 | * Case 1 - color flips | ||
99 | * | ||
100 | * G g | ||
101 | * / \ / \ | ||
102 | * p u --> P U | ||
103 | * / / | ||
104 | * n N | ||
105 | * | ||
106 | * However, since g's parent might be red, and | ||
107 | * 4) does not allow this, we need to recurse | ||
108 | * at g. | ||
109 | */ | ||
110 | rb_set_parent_color(tmp, gparent, RB_BLACK); | ||
111 | rb_set_parent_color(parent, gparent, RB_BLACK); | ||
112 | node = gparent; | ||
113 | parent = rb_parent(node); | ||
114 | rb_set_parent_color(node, parent, RB_RED); | ||
115 | continue; | ||
92 | } | 116 | } |
93 | 117 | ||
94 | if (parent->rb_right == node) | 118 | tmp = parent->rb_right; |
95 | { | 119 | if (node == tmp) { |
96 | register struct rb_node *tmp; | 120 | /* |
97 | __rb_rotate_left(parent, root); | 121 | * Case 2 - left rotate at parent |
98 | tmp = parent; | 122 | * |
123 | * G G | ||
124 | * / \ / \ | ||
125 | * p U --> n U | ||
126 | * \ / | ||
127 | * n p | ||
128 | * | ||
129 | * This still leaves us in violation of 4), the | ||
130 | * continuation into Case 3 will fix that. | ||
131 | */ | ||
132 | parent->rb_right = tmp = node->rb_left; | ||
133 | node->rb_left = parent; | ||
134 | if (tmp) | ||
135 | rb_set_parent_color(tmp, parent, | ||
136 | RB_BLACK); | ||
137 | rb_set_parent_color(parent, node, RB_RED); | ||
138 | augment_rotate(parent, node); | ||
99 | parent = node; | 139 | parent = node; |
100 | node = tmp; | 140 | tmp = node->rb_right; |
101 | } | 141 | } |
102 | 142 | ||
103 | rb_set_black(parent); | 143 | /* |
104 | rb_set_red(gparent); | 144 | * Case 3 - right rotate at gparent |
105 | __rb_rotate_right(gparent, root); | 145 | * |
146 | * G P | ||
147 | * / \ / \ | ||
148 | * p U --> n g | ||
149 | * / \ | ||
150 | * n U | ||
151 | */ | ||
152 | gparent->rb_left = tmp; /* == parent->rb_right */ | ||
153 | parent->rb_right = gparent; | ||
154 | if (tmp) | ||
155 | rb_set_parent_color(tmp, gparent, RB_BLACK); | ||
156 | __rb_rotate_set_parents(gparent, parent, root, RB_RED); | ||
157 | augment_rotate(gparent, parent); | ||
158 | break; | ||
106 | } else { | 159 | } else { |
107 | { | 160 | tmp = gparent->rb_left; |
108 | register struct rb_node *uncle = gparent->rb_left; | 161 | if (tmp && rb_is_red(tmp)) { |
109 | if (uncle && rb_is_red(uncle)) | 162 | /* Case 1 - color flips */ |
110 | { | 163 | rb_set_parent_color(tmp, gparent, RB_BLACK); |
111 | rb_set_black(uncle); | 164 | rb_set_parent_color(parent, gparent, RB_BLACK); |
112 | rb_set_black(parent); | 165 | node = gparent; |
113 | rb_set_red(gparent); | 166 | parent = rb_parent(node); |
114 | node = gparent; | 167 | rb_set_parent_color(node, parent, RB_RED); |
115 | continue; | 168 | continue; |
116 | } | ||
117 | } | 169 | } |
118 | 170 | ||
119 | if (parent->rb_left == node) | 171 | tmp = parent->rb_left; |
120 | { | 172 | if (node == tmp) { |
121 | register struct rb_node *tmp; | 173 | /* Case 2 - right rotate at parent */ |
122 | __rb_rotate_right(parent, root); | 174 | parent->rb_left = tmp = node->rb_right; |
123 | tmp = parent; | 175 | node->rb_right = parent; |
176 | if (tmp) | ||
177 | rb_set_parent_color(tmp, parent, | ||
178 | RB_BLACK); | ||
179 | rb_set_parent_color(parent, node, RB_RED); | ||
180 | augment_rotate(parent, node); | ||
124 | parent = node; | 181 | parent = node; |
125 | node = tmp; | 182 | tmp = node->rb_left; |
126 | } | 183 | } |
127 | 184 | ||
128 | rb_set_black(parent); | 185 | /* Case 3 - left rotate at gparent */ |
129 | rb_set_red(gparent); | 186 | gparent->rb_right = tmp; /* == parent->rb_left */ |
130 | __rb_rotate_left(gparent, root); | 187 | parent->rb_left = gparent; |
188 | if (tmp) | ||
189 | rb_set_parent_color(tmp, gparent, RB_BLACK); | ||
190 | __rb_rotate_set_parents(gparent, parent, root, RB_RED); | ||
191 | augment_rotate(gparent, parent); | ||
192 | break; | ||
131 | } | 193 | } |
132 | } | 194 | } |
133 | |||
134 | rb_set_black(root->rb_node); | ||
135 | } | 195 | } |
136 | EXPORT_SYMBOL(rb_insert_color); | ||
137 | 196 | ||
138 | static void __rb_erase_color(struct rb_node *node, struct rb_node *parent, | 197 | __always_inline void |
139 | struct rb_root *root) | 198 | __rb_erase_color(struct rb_node *parent, struct rb_root *root, |
199 | void (*augment_rotate)(struct rb_node *old, struct rb_node *new)) | ||
140 | { | 200 | { |
141 | struct rb_node *other; | 201 | struct rb_node *node = NULL, *sibling, *tmp1, *tmp2; |
142 | 202 | ||
143 | while ((!node || rb_is_black(node)) && node != root->rb_node) | 203 | while (true) { |
144 | { | 204 | /* |
145 | if (parent->rb_left == node) | 205 | * Loop invariants: |
146 | { | 206 | * - node is black (or NULL on first iteration) |
147 | other = parent->rb_right; | 207 | * - node is not the root (parent is not NULL) |
148 | if (rb_is_red(other)) | 208 | * - All leaf paths going through parent and node have a |
149 | { | 209 | * black node count that is 1 lower than other leaf paths. |
150 | rb_set_black(other); | 210 | */ |
151 | rb_set_red(parent); | 211 | sibling = parent->rb_right; |
152 | __rb_rotate_left(parent, root); | 212 | if (node != sibling) { /* node == parent->rb_left */ |
153 | other = parent->rb_right; | 213 | if (rb_is_red(sibling)) { |
214 | /* | ||
215 | * Case 1 - left rotate at parent | ||
216 | * | ||
217 | * P S | ||
218 | * / \ / \ | ||
219 | * N s --> p Sr | ||
220 | * / \ / \ | ||
221 | * Sl Sr N Sl | ||
222 | */ | ||
223 | parent->rb_right = tmp1 = sibling->rb_left; | ||
224 | sibling->rb_left = parent; | ||
225 | rb_set_parent_color(tmp1, parent, RB_BLACK); | ||
226 | __rb_rotate_set_parents(parent, sibling, root, | ||
227 | RB_RED); | ||
228 | augment_rotate(parent, sibling); | ||
229 | sibling = tmp1; | ||
154 | } | 230 | } |
155 | if ((!other->rb_left || rb_is_black(other->rb_left)) && | 231 | tmp1 = sibling->rb_right; |
156 | (!other->rb_right || rb_is_black(other->rb_right))) | 232 | if (!tmp1 || rb_is_black(tmp1)) { |
157 | { | 233 | tmp2 = sibling->rb_left; |
158 | rb_set_red(other); | 234 | if (!tmp2 || rb_is_black(tmp2)) { |
159 | node = parent; | 235 | /* |
160 | parent = rb_parent(node); | 236 | * Case 2 - sibling color flip |
161 | } | 237 | * (p could be either color here) |
162 | else | 238 | * |
163 | { | 239 | * (p) (p) |
164 | if (!other->rb_right || rb_is_black(other->rb_right)) | 240 | * / \ / \ |
165 | { | 241 | * N S --> N s |
166 | rb_set_black(other->rb_left); | 242 | * / \ / \ |
167 | rb_set_red(other); | 243 | * Sl Sr Sl Sr |
168 | __rb_rotate_right(other, root); | 244 | * |
169 | other = parent->rb_right; | 245 | * This leaves us violating 5) which |
246 | * can be fixed by flipping p to black | ||
247 | * if it was red, or by recursing at p. | ||
248 | * p is red when coming from Case 1. | ||
249 | */ | ||
250 | rb_set_parent_color(sibling, parent, | ||
251 | RB_RED); | ||
252 | if (rb_is_red(parent)) | ||
253 | rb_set_black(parent); | ||
254 | else { | ||
255 | node = parent; | ||
256 | parent = rb_parent(node); | ||
257 | if (parent) | ||
258 | continue; | ||
259 | } | ||
260 | break; | ||
170 | } | 261 | } |
171 | rb_set_color(other, rb_color(parent)); | 262 | /* |
172 | rb_set_black(parent); | 263 | * Case 3 - right rotate at sibling |
173 | rb_set_black(other->rb_right); | 264 | * (p could be either color here) |
174 | __rb_rotate_left(parent, root); | 265 | * |
175 | node = root->rb_node; | 266 | * (p) (p) |
176 | break; | 267 | * / \ / \ |
177 | } | 268 | * N S --> N Sl |
178 | } | 269 | * / \ \ |
179 | else | 270 | * sl Sr s |
180 | { | 271 | * \ |
181 | other = parent->rb_left; | 272 | * Sr |
182 | if (rb_is_red(other)) | 273 | */ |
183 | { | 274 | sibling->rb_left = tmp1 = tmp2->rb_right; |
184 | rb_set_black(other); | 275 | tmp2->rb_right = sibling; |
185 | rb_set_red(parent); | 276 | parent->rb_right = tmp2; |
186 | __rb_rotate_right(parent, root); | 277 | if (tmp1) |
187 | other = parent->rb_left; | 278 | rb_set_parent_color(tmp1, sibling, |
279 | RB_BLACK); | ||
280 | augment_rotate(sibling, tmp2); | ||
281 | tmp1 = sibling; | ||
282 | sibling = tmp2; | ||
188 | } | 283 | } |
189 | if ((!other->rb_left || rb_is_black(other->rb_left)) && | 284 | /* |
190 | (!other->rb_right || rb_is_black(other->rb_right))) | 285 | * Case 4 - left rotate at parent + color flips |
191 | { | 286 | * (p and sl could be either color here. |
192 | rb_set_red(other); | 287 | * After rotation, p becomes black, s acquires |
193 | node = parent; | 288 | * p's color, and sl keeps its color) |
194 | parent = rb_parent(node); | 289 | * |
290 | * (p) (s) | ||
291 | * / \ / \ | ||
292 | * N S --> P Sr | ||
293 | * / \ / \ | ||
294 | * (sl) sr N (sl) | ||
295 | */ | ||
296 | parent->rb_right = tmp2 = sibling->rb_left; | ||
297 | sibling->rb_left = parent; | ||
298 | rb_set_parent_color(tmp1, sibling, RB_BLACK); | ||
299 | if (tmp2) | ||
300 | rb_set_parent(tmp2, parent); | ||
301 | __rb_rotate_set_parents(parent, sibling, root, | ||
302 | RB_BLACK); | ||
303 | augment_rotate(parent, sibling); | ||
304 | break; | ||
305 | } else { | ||
306 | sibling = parent->rb_left; | ||
307 | if (rb_is_red(sibling)) { | ||
308 | /* Case 1 - right rotate at parent */ | ||
309 | parent->rb_left = tmp1 = sibling->rb_right; | ||
310 | sibling->rb_right = parent; | ||
311 | rb_set_parent_color(tmp1, parent, RB_BLACK); | ||
312 | __rb_rotate_set_parents(parent, sibling, root, | ||
313 | RB_RED); | ||
314 | augment_rotate(parent, sibling); | ||
315 | sibling = tmp1; | ||
195 | } | 316 | } |
196 | else | 317 | tmp1 = sibling->rb_left; |
197 | { | 318 | if (!tmp1 || rb_is_black(tmp1)) { |
198 | if (!other->rb_left || rb_is_black(other->rb_left)) | 319 | tmp2 = sibling->rb_right; |
199 | { | 320 | if (!tmp2 || rb_is_black(tmp2)) { |
200 | rb_set_black(other->rb_right); | 321 | /* Case 2 - sibling color flip */ |
201 | rb_set_red(other); | 322 | rb_set_parent_color(sibling, parent, |
202 | __rb_rotate_left(other, root); | 323 | RB_RED); |
203 | other = parent->rb_left; | 324 | if (rb_is_red(parent)) |
325 | rb_set_black(parent); | ||
326 | else { | ||
327 | node = parent; | ||
328 | parent = rb_parent(node); | ||
329 | if (parent) | ||
330 | continue; | ||
331 | } | ||
332 | break; | ||
204 | } | 333 | } |
205 | rb_set_color(other, rb_color(parent)); | 334 | /* Case 3 - right rotate at sibling */ |
206 | rb_set_black(parent); | 335 | sibling->rb_right = tmp1 = tmp2->rb_left; |
207 | rb_set_black(other->rb_left); | 336 | tmp2->rb_left = sibling; |
208 | __rb_rotate_right(parent, root); | 337 | parent->rb_left = tmp2; |
209 | node = root->rb_node; | 338 | if (tmp1) |
210 | break; | 339 | rb_set_parent_color(tmp1, sibling, |
340 | RB_BLACK); | ||
341 | augment_rotate(sibling, tmp2); | ||
342 | tmp1 = sibling; | ||
343 | sibling = tmp2; | ||
211 | } | 344 | } |
345 | /* Case 4 - left rotate at parent + color flips */ | ||
346 | parent->rb_left = tmp2 = sibling->rb_right; | ||
347 | sibling->rb_right = parent; | ||
348 | rb_set_parent_color(tmp1, sibling, RB_BLACK); | ||
349 | if (tmp2) | ||
350 | rb_set_parent(tmp2, parent); | ||
351 | __rb_rotate_set_parents(parent, sibling, root, | ||
352 | RB_BLACK); | ||
353 | augment_rotate(parent, sibling); | ||
354 | break; | ||
212 | } | 355 | } |
213 | } | 356 | } |
214 | if (node) | ||
215 | rb_set_black(node); | ||
216 | } | 357 | } |
358 | EXPORT_SYMBOL(__rb_erase_color); | ||
217 | 359 | ||
218 | void rb_erase(struct rb_node *node, struct rb_root *root) | 360 | /* |
219 | { | 361 | * Non-augmented rbtree manipulation functions. |
220 | struct rb_node *child, *parent; | 362 | * |
221 | int color; | 363 | * We use dummy augmented callbacks here, and have the compiler optimize them |
222 | 364 | * out of the rb_insert_color() and rb_erase() function definitions. | |
223 | if (!node->rb_left) | 365 | */ |
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; | ||
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 | |||
243 | child = node->rb_right; | ||
244 | parent = rb_parent(node); | ||
245 | color = rb_color(node); | ||
246 | |||
247 | if (parent == old) { | ||
248 | parent = node; | ||
249 | } else { | ||
250 | if (child) | ||
251 | rb_set_parent(child, parent); | ||
252 | parent->rb_left = child; | ||
253 | |||
254 | node->rb_right = old->rb_right; | ||
255 | rb_set_parent(old->rb_right, node); | ||
256 | } | ||
257 | |||
258 | node->rb_parent_color = old->rb_parent_color; | ||
259 | node->rb_left = old->rb_left; | ||
260 | rb_set_parent(old->rb_left, node); | ||
261 | 366 | ||
262 | goto color; | 367 | static inline void dummy_propagate(struct rb_node *node, struct rb_node *stop) {} |
263 | } | 368 | static inline void dummy_copy(struct rb_node *old, struct rb_node *new) {} |
369 | static inline void dummy_rotate(struct rb_node *old, struct rb_node *new) {} | ||
264 | 370 | ||
265 | parent = rb_parent(node); | 371 | static const struct rb_augment_callbacks dummy_callbacks = { |
266 | color = rb_color(node); | 372 | dummy_propagate, dummy_copy, dummy_rotate |
267 | 373 | }; | |
268 | if (child) | ||
269 | rb_set_parent(child, parent); | ||
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 | 374 | ||
280 | color: | 375 | void rb_insert_color(struct rb_node *node, struct rb_root *root) |
281 | if (color == RB_BLACK) | ||
282 | __rb_erase_color(child, parent, root); | ||
283 | } | ||
284 | EXPORT_SYMBOL(rb_erase); | ||
285 | |||
286 | static void rb_augment_path(struct rb_node *node, rb_augment_f func, void *data) | ||
287 | { | 376 | { |
288 | struct rb_node *parent; | 377 | __rb_insert(node, root, dummy_rotate); |
289 | |||
290 | up: | ||
291 | func(node, data); | ||
292 | parent = rb_parent(node); | ||
293 | if (!parent) | ||
294 | return; | ||
295 | |||
296 | if (node == parent->rb_left && parent->rb_right) | ||
297 | func(parent->rb_right, data); | ||
298 | else if (parent->rb_left) | ||
299 | func(parent->rb_left, data); | ||
300 | |||
301 | node = parent; | ||
302 | goto up; | ||
303 | } | 378 | } |
379 | EXPORT_SYMBOL(rb_insert_color); | ||
304 | 380 | ||
305 | /* | 381 | void rb_erase(struct rb_node *node, struct rb_root *root) |
306 | * after inserting @node into the tree, update the tree to account for | ||
307 | * both the new entry and any damage done by rebalance | ||
308 | */ | ||
309 | void rb_augment_insert(struct rb_node *node, rb_augment_f func, void *data) | ||
310 | { | 382 | { |
311 | if (node->rb_left) | 383 | rb_erase_augmented(node, root, &dummy_callbacks); |
312 | node = node->rb_left; | ||
313 | else if (node->rb_right) | ||
314 | node = node->rb_right; | ||
315 | |||
316 | rb_augment_path(node, func, data); | ||
317 | } | 384 | } |
318 | EXPORT_SYMBOL(rb_augment_insert); | 385 | EXPORT_SYMBOL(rb_erase); |
319 | 386 | ||
320 | /* | 387 | /* |
321 | * before removing the node, find the deepest node on the rebalance path | 388 | * Augmented rbtree manipulation functions. |
322 | * that will still be there after @node gets removed | 389 | * |
390 | * This instantiates the same __always_inline functions as in the non-augmented | ||
391 | * case, but this time with user-defined callbacks. | ||
323 | */ | 392 | */ |
324 | struct rb_node *rb_augment_erase_begin(struct rb_node *node) | ||
325 | { | ||
326 | struct rb_node *deepest; | ||
327 | |||
328 | if (!node->rb_right && !node->rb_left) | ||
329 | deepest = rb_parent(node); | ||
330 | else if (!node->rb_right) | ||
331 | deepest = node->rb_left; | ||
332 | else if (!node->rb_left) | ||
333 | deepest = node->rb_right; | ||
334 | else { | ||
335 | deepest = rb_next(node); | ||
336 | if (deepest->rb_right) | ||
337 | deepest = deepest->rb_right; | ||
338 | else if (rb_parent(deepest) != node) | ||
339 | deepest = rb_parent(deepest); | ||
340 | } | ||
341 | |||
342 | return deepest; | ||
343 | } | ||
344 | EXPORT_SYMBOL(rb_augment_erase_begin); | ||
345 | 393 | ||
346 | /* | 394 | void __rb_insert_augmented(struct rb_node *node, struct rb_root *root, |
347 | * after removal, update the tree to account for the removed entry | 395 | void (*augment_rotate)(struct rb_node *old, struct rb_node *new)) |
348 | * and any rebalance damage. | ||
349 | */ | ||
350 | void rb_augment_erase_end(struct rb_node *node, rb_augment_f func, void *data) | ||
351 | { | 396 | { |
352 | if (node) | 397 | __rb_insert(node, root, augment_rotate); |
353 | rb_augment_path(node, func, data); | ||
354 | } | 398 | } |
355 | EXPORT_SYMBOL(rb_augment_erase_end); | 399 | EXPORT_SYMBOL(__rb_insert_augmented); |
356 | 400 | ||
357 | /* | 401 | /* |
358 | * This function returns the first node (in sort order) of the tree. | 402 | * This function returns the first node (in sort order) of the tree. |
@@ -387,11 +431,13 @@ struct rb_node *rb_next(const struct rb_node *node) | |||
387 | { | 431 | { |
388 | struct rb_node *parent; | 432 | struct rb_node *parent; |
389 | 433 | ||
390 | if (rb_parent(node) == node) | 434 | if (RB_EMPTY_NODE(node)) |
391 | return NULL; | 435 | return NULL; |
392 | 436 | ||
393 | /* If we have a right-hand child, go down and then left as far | 437 | /* |
394 | as we can. */ | 438 | * If we have a right-hand child, go down and then left as far |
439 | * as we can. | ||
440 | */ | ||
395 | if (node->rb_right) { | 441 | if (node->rb_right) { |
396 | node = node->rb_right; | 442 | node = node->rb_right; |
397 | while (node->rb_left) | 443 | while (node->rb_left) |
@@ -399,12 +445,13 @@ struct rb_node *rb_next(const struct rb_node *node) | |||
399 | return (struct rb_node *)node; | 445 | return (struct rb_node *)node; |
400 | } | 446 | } |
401 | 447 | ||
402 | /* No right-hand children. Everything down and left is | 448 | /* |
403 | smaller than us, so any 'next' node must be in the general | 449 | * No right-hand children. Everything down and left is smaller than us, |
404 | direction of our parent. Go up the tree; any time the | 450 | * so any 'next' node must be in the general direction of our parent. |
405 | ancestor is a right-hand child of its parent, keep going | 451 | * Go up the tree; any time the ancestor is a right-hand child of its |
406 | up. First time it's a left-hand child of its parent, said | 452 | * parent, keep going up. First time it's a left-hand child of its |
407 | parent is our 'next' node. */ | 453 | * parent, said parent is our 'next' node. |
454 | */ | ||
408 | while ((parent = rb_parent(node)) && node == parent->rb_right) | 455 | while ((parent = rb_parent(node)) && node == parent->rb_right) |
409 | node = parent; | 456 | node = parent; |
410 | 457 | ||
@@ -416,11 +463,13 @@ struct rb_node *rb_prev(const struct rb_node *node) | |||
416 | { | 463 | { |
417 | struct rb_node *parent; | 464 | struct rb_node *parent; |
418 | 465 | ||
419 | if (rb_parent(node) == node) | 466 | if (RB_EMPTY_NODE(node)) |
420 | return NULL; | 467 | return NULL; |
421 | 468 | ||
422 | /* If we have a left-hand child, go down and then right as far | 469 | /* |
423 | as we can. */ | 470 | * If we have a left-hand child, go down and then right as far |
471 | * as we can. | ||
472 | */ | ||
424 | if (node->rb_left) { | 473 | if (node->rb_left) { |
425 | node = node->rb_left; | 474 | node = node->rb_left; |
426 | while (node->rb_right) | 475 | while (node->rb_right) |
@@ -428,8 +477,10 @@ struct rb_node *rb_prev(const struct rb_node *node) | |||
428 | return (struct rb_node *)node; | 477 | return (struct rb_node *)node; |
429 | } | 478 | } |
430 | 479 | ||
431 | /* No left-hand children. Go up till we find an ancestor which | 480 | /* |
432 | is a right-hand child of its parent */ | 481 | * No left-hand children. Go up till we find an ancestor which |
482 | * is a right-hand child of its parent. | ||
483 | */ | ||
433 | while ((parent = rb_parent(node)) && node == parent->rb_left) | 484 | while ((parent = rb_parent(node)) && node == parent->rb_left) |
434 | node = parent; | 485 | node = parent; |
435 | 486 | ||
@@ -443,14 +494,7 @@ void rb_replace_node(struct rb_node *victim, struct rb_node *new, | |||
443 | struct rb_node *parent = rb_parent(victim); | 494 | struct rb_node *parent = rb_parent(victim); |
444 | 495 | ||
445 | /* Set the surrounding nodes to point to the replacement */ | 496 | /* Set the surrounding nodes to point to the replacement */ |
446 | if (parent) { | 497 | __rb_change_child(victim, new, parent, root); |
447 | if (victim == parent->rb_left) | ||
448 | parent->rb_left = new; | ||
449 | else | ||
450 | parent->rb_right = new; | ||
451 | } else { | ||
452 | root->rb_node = new; | ||
453 | } | ||
454 | if (victim->rb_left) | 498 | if (victim->rb_left) |
455 | rb_set_parent(victim->rb_left, new); | 499 | rb_set_parent(victim->rb_left, new); |
456 | if (victim->rb_right) | 500 | if (victim->rb_right) |