1 /* SPDX-License-Identifier: GPL-2.0-or-later * 1 /* SPDX-License-Identifier: GPL-2.0-or-later */
2 /* 2 /*
3 Red Black Trees 3 Red Black Trees
4 (C) 1999 Andrea Arcangeli <andrea@suse.de> 4 (C) 1999 Andrea Arcangeli <andrea@suse.de>
5 (C) 2002 David Woodhouse <dwmw2@infradead.o 5 (C) 2002 David Woodhouse <dwmw2@infradead.org>
6 (C) 2012 Michel Lespinasse <walken@google.c 6 (C) 2012 Michel Lespinasse <walken@google.com>
7 7
8 8
9 linux/include/linux/rbtree_augmented.h 9 linux/include/linux/rbtree_augmented.h
10 */ 10 */
11 11
12 #ifndef _LINUX_RBTREE_AUGMENTED_H 12 #ifndef _LINUX_RBTREE_AUGMENTED_H
13 #define _LINUX_RBTREE_AUGMENTED_H 13 #define _LINUX_RBTREE_AUGMENTED_H
14 14
15 #include <linux/compiler.h> 15 #include <linux/compiler.h>
16 #include <linux/rbtree.h> 16 #include <linux/rbtree.h>
17 #include <linux/rcupdate.h> 17 #include <linux/rcupdate.h>
18 18
19 /* 19 /*
20 * Please note - only struct rb_augment_callba 20 * Please note - only struct rb_augment_callbacks and the prototypes for
21 * rb_insert_augmented() and rb_erase_augmente 21 * rb_insert_augmented() and rb_erase_augmented() are intended to be public.
22 * The rest are implementation details you are 22 * The rest are implementation details you are not expected to depend on.
23 * 23 *
24 * See Documentation/core-api/rbtree.rst for d 24 * See Documentation/core-api/rbtree.rst for documentation and samples.
25 */ 25 */
26 26
27 struct rb_augment_callbacks { 27 struct rb_augment_callbacks {
28 void (*propagate)(struct rb_node *node 28 void (*propagate)(struct rb_node *node, struct rb_node *stop);
29 void (*copy)(struct rb_node *old, stru 29 void (*copy)(struct rb_node *old, struct rb_node *new);
30 void (*rotate)(struct rb_node *old, st 30 void (*rotate)(struct rb_node *old, struct rb_node *new);
31 }; 31 };
32 32
33 extern void __rb_insert_augmented(struct rb_no 33 extern void __rb_insert_augmented(struct rb_node *node, struct rb_root *root,
34 void (*augment_rotate)(struct rb_node 34 void (*augment_rotate)(struct rb_node *old, struct rb_node *new));
35 35
36 /* 36 /*
37 * Fixup the rbtree and update the augmented i 37 * Fixup the rbtree and update the augmented information when rebalancing.
38 * 38 *
39 * On insertion, the user must update the augm 39 * On insertion, the user must update the augmented information on the path
40 * leading to the inserted node, then call rb_ 40 * leading to the inserted node, then call rb_link_node() as usual and
41 * rb_insert_augmented() instead of the usual 41 * rb_insert_augmented() instead of the usual rb_insert_color() call.
42 * If rb_insert_augmented() rebalances the rbt 42 * If rb_insert_augmented() rebalances the rbtree, it will callback into
43 * a user provided function to update the augm 43 * a user provided function to update the augmented information on the
44 * affected subtrees. 44 * affected subtrees.
45 */ 45 */
46 static inline void 46 static inline void
47 rb_insert_augmented(struct rb_node *node, stru 47 rb_insert_augmented(struct rb_node *node, struct rb_root *root,
48 const struct rb_augment_ca 48 const struct rb_augment_callbacks *augment)
49 { 49 {
50 __rb_insert_augmented(node, root, augm 50 __rb_insert_augmented(node, root, augment->rotate);
51 } 51 }
52 52
53 static inline void 53 static inline void
54 rb_insert_augmented_cached(struct rb_node *nod 54 rb_insert_augmented_cached(struct rb_node *node,
55 struct rb_root_cach 55 struct rb_root_cached *root, bool newleft,
56 const struct rb_aug 56 const struct rb_augment_callbacks *augment)
57 { 57 {
58 if (newleft) 58 if (newleft)
59 root->rb_leftmost = node; 59 root->rb_leftmost = node;
60 rb_insert_augmented(node, &root->rb_ro 60 rb_insert_augmented(node, &root->rb_root, augment);
61 } 61 }
62 62
63 static __always_inline struct rb_node * 63 static __always_inline struct rb_node *
64 rb_add_augmented_cached(struct rb_node *node, 64 rb_add_augmented_cached(struct rb_node *node, struct rb_root_cached *tree,
65 bool (*less)(struct rb 65 bool (*less)(struct rb_node *, const struct rb_node *),
66 const struct rb_augmen 66 const struct rb_augment_callbacks *augment)
67 { 67 {
68 struct rb_node **link = &tree->rb_root 68 struct rb_node **link = &tree->rb_root.rb_node;
69 struct rb_node *parent = NULL; 69 struct rb_node *parent = NULL;
70 bool leftmost = true; 70 bool leftmost = true;
71 71
72 while (*link) { 72 while (*link) {
73 parent = *link; 73 parent = *link;
74 if (less(node, parent)) { 74 if (less(node, parent)) {
75 link = &parent->rb_lef 75 link = &parent->rb_left;
76 } else { 76 } else {
77 link = &parent->rb_rig 77 link = &parent->rb_right;
78 leftmost = false; 78 leftmost = false;
79 } 79 }
80 } 80 }
81 81
82 rb_link_node(node, parent, link); 82 rb_link_node(node, parent, link);
83 augment->propagate(parent, NULL); /* s 83 augment->propagate(parent, NULL); /* suboptimal */
84 rb_insert_augmented_cached(node, tree, 84 rb_insert_augmented_cached(node, tree, leftmost, augment);
85 85
86 return leftmost ? node : NULL; 86 return leftmost ? node : NULL;
87 } 87 }
88 88
89 /* 89 /*
90 * Template for declaring augmented rbtree cal 90 * Template for declaring augmented rbtree callbacks (generic case)
91 * 91 *
92 * RBSTATIC: 'static' or empty 92 * RBSTATIC: 'static' or empty
93 * RBNAME: name of the rb_augment_callbac 93 * RBNAME: name of the rb_augment_callbacks structure
94 * RBSTRUCT: struct type of the tree nodes 94 * RBSTRUCT: struct type of the tree nodes
95 * RBFIELD: name of struct rb_node field w 95 * RBFIELD: name of struct rb_node field within RBSTRUCT
96 * RBAUGMENTED: name of field within RBSTRUCT 96 * RBAUGMENTED: name of field within RBSTRUCT holding data for subtree
97 * RBCOMPUTE: name of function that recomput 97 * RBCOMPUTE: name of function that recomputes the RBAUGMENTED data
98 */ 98 */
99 99
100 #define RB_DECLARE_CALLBACKS(RBSTATIC, RBNAME, 100 #define RB_DECLARE_CALLBACKS(RBSTATIC, RBNAME, \
101 RBSTRUCT, RBFIELD 101 RBSTRUCT, RBFIELD, RBAUGMENTED, RBCOMPUTE) \
102 static inline void 102 static inline void \
103 RBNAME ## _propagate(struct rb_node *rb, struc 103 RBNAME ## _propagate(struct rb_node *rb, struct rb_node *stop) \
104 { 104 { \
105 while (rb != stop) { 105 while (rb != stop) { \
106 RBSTRUCT *node = rb_entry(rb, 106 RBSTRUCT *node = rb_entry(rb, RBSTRUCT, RBFIELD); \
107 if (RBCOMPUTE(node, true)) 107 if (RBCOMPUTE(node, true)) \
108 break; 108 break; \
109 rb = rb_parent(&node->RBFIELD) 109 rb = rb_parent(&node->RBFIELD); \
110 } 110 } \
111 } 111 } \
112 static inline void 112 static inline void \
113 RBNAME ## _copy(struct rb_node *rb_old, struct 113 RBNAME ## _copy(struct rb_node *rb_old, struct rb_node *rb_new) \
114 { 114 { \
115 RBSTRUCT *old = rb_entry(rb_old, RBSTR 115 RBSTRUCT *old = rb_entry(rb_old, RBSTRUCT, RBFIELD); \
116 RBSTRUCT *new = rb_entry(rb_new, RBSTR 116 RBSTRUCT *new = rb_entry(rb_new, RBSTRUCT, RBFIELD); \
117 new->RBAUGMENTED = old->RBAUGMENTED; 117 new->RBAUGMENTED = old->RBAUGMENTED; \
118 } 118 } \
119 static void 119 static void \
120 RBNAME ## _rotate(struct rb_node *rb_old, stru 120 RBNAME ## _rotate(struct rb_node *rb_old, struct rb_node *rb_new) \
121 { 121 { \
122 RBSTRUCT *old = rb_entry(rb_old, RBSTR 122 RBSTRUCT *old = rb_entry(rb_old, RBSTRUCT, RBFIELD); \
123 RBSTRUCT *new = rb_entry(rb_new, RBSTR 123 RBSTRUCT *new = rb_entry(rb_new, RBSTRUCT, RBFIELD); \
124 new->RBAUGMENTED = old->RBAUGMENTED; 124 new->RBAUGMENTED = old->RBAUGMENTED; \
125 RBCOMPUTE(old, false); 125 RBCOMPUTE(old, false); \
126 } 126 } \
127 RBSTATIC const struct rb_augment_callbacks RBN 127 RBSTATIC const struct rb_augment_callbacks RBNAME = { \
128 .propagate = RBNAME ## _propagate, 128 .propagate = RBNAME ## _propagate, \
129 .copy = RBNAME ## _copy, 129 .copy = RBNAME ## _copy, \
130 .rotate = RBNAME ## _rotate 130 .rotate = RBNAME ## _rotate \
131 }; 131 };
132 132
133 /* 133 /*
134 * Template for declaring augmented rbtree cal 134 * Template for declaring augmented rbtree callbacks,
135 * computing RBAUGMENTED scalar as max(RBCOMPU 135 * computing RBAUGMENTED scalar as max(RBCOMPUTE(node)) for all subtree nodes.
136 * 136 *
137 * RBSTATIC: 'static' or empty 137 * RBSTATIC: 'static' or empty
138 * RBNAME: name of the rb_augment_callbac 138 * RBNAME: name of the rb_augment_callbacks structure
139 * RBSTRUCT: struct type of the tree nodes 139 * RBSTRUCT: struct type of the tree nodes
140 * RBFIELD: name of struct rb_node field w 140 * RBFIELD: name of struct rb_node field within RBSTRUCT
141 * RBTYPE: type of the RBAUGMENTED field 141 * RBTYPE: type of the RBAUGMENTED field
142 * RBAUGMENTED: name of RBTYPE field within RB 142 * RBAUGMENTED: name of RBTYPE field within RBSTRUCT holding data for subtree
143 * RBCOMPUTE: name of function that returns 143 * RBCOMPUTE: name of function that returns the per-node RBTYPE scalar
144 */ 144 */
145 145
146 #define RB_DECLARE_CALLBACKS_MAX(RBSTATIC, RBN 146 #define RB_DECLARE_CALLBACKS_MAX(RBSTATIC, RBNAME, RBSTRUCT, RBFIELD, \
147 RBTYPE, RBAUG 147 RBTYPE, RBAUGMENTED, RBCOMPUTE) \
148 static inline bool RBNAME ## _compute_max(RBST 148 static inline bool RBNAME ## _compute_max(RBSTRUCT *node, bool exit) \
149 { 149 { \
150 RBSTRUCT *child; 150 RBSTRUCT *child; \
151 RBTYPE max = RBCOMPUTE(node); 151 RBTYPE max = RBCOMPUTE(node); \
152 if (node->RBFIELD.rb_left) { 152 if (node->RBFIELD.rb_left) { \
153 child = rb_entry(node->RBFIELD 153 child = rb_entry(node->RBFIELD.rb_left, RBSTRUCT, RBFIELD); \
154 if (child->RBAUGMENTED > max) 154 if (child->RBAUGMENTED > max) \
155 max = child->RBAUGMENT 155 max = child->RBAUGMENTED; \
156 } 156 } \
157 if (node->RBFIELD.rb_right) { 157 if (node->RBFIELD.rb_right) { \
158 child = rb_entry(node->RBFIELD 158 child = rb_entry(node->RBFIELD.rb_right, RBSTRUCT, RBFIELD); \
159 if (child->RBAUGMENTED > max) 159 if (child->RBAUGMENTED > max) \
160 max = child->RBAUGMENT 160 max = child->RBAUGMENTED; \
161 } 161 } \
162 if (exit && node->RBAUGMENTED == max) 162 if (exit && node->RBAUGMENTED == max) \
163 return true; 163 return true; \
164 node->RBAUGMENTED = max; 164 node->RBAUGMENTED = max; \
165 return false; 165 return false; \
166 } 166 } \
167 RB_DECLARE_CALLBACKS(RBSTATIC, RBNAME, 167 RB_DECLARE_CALLBACKS(RBSTATIC, RBNAME, \
168 RBSTRUCT, RBFIELD, RBAUGM 168 RBSTRUCT, RBFIELD, RBAUGMENTED, RBNAME ## _compute_max)
169 169
170 170
171 #define RB_RED 0 171 #define RB_RED 0
172 #define RB_BLACK 1 172 #define RB_BLACK 1
173 173
174 #define __rb_parent(pc) ((struct rb_node *) 174 #define __rb_parent(pc) ((struct rb_node *)(pc & ~3))
175 175
176 #define __rb_color(pc) ((pc) & 1) 176 #define __rb_color(pc) ((pc) & 1)
177 #define __rb_is_black(pc) __rb_color(pc) 177 #define __rb_is_black(pc) __rb_color(pc)
178 #define __rb_is_red(pc) (!__rb_color(pc)) 178 #define __rb_is_red(pc) (!__rb_color(pc))
179 #define rb_color(rb) __rb_color((rb)->__ 179 #define rb_color(rb) __rb_color((rb)->__rb_parent_color)
180 #define rb_is_red(rb) __rb_is_red((rb)->_ 180 #define rb_is_red(rb) __rb_is_red((rb)->__rb_parent_color)
181 #define rb_is_black(rb) __rb_is_black((rb)- 181 #define rb_is_black(rb) __rb_is_black((rb)->__rb_parent_color)
182 182
183 static inline void rb_set_parent(struct rb_nod 183 static inline void rb_set_parent(struct rb_node *rb, struct rb_node *p)
184 { 184 {
185 rb->__rb_parent_color = rb_color(rb) + 185 rb->__rb_parent_color = rb_color(rb) + (unsigned long)p;
186 } 186 }
187 187
188 static inline void rb_set_parent_color(struct 188 static inline void rb_set_parent_color(struct rb_node *rb,
189 struct 189 struct rb_node *p, int color)
190 { 190 {
191 rb->__rb_parent_color = (unsigned long 191 rb->__rb_parent_color = (unsigned long)p + color;
192 } 192 }
193 193
194 static inline void 194 static inline void
195 __rb_change_child(struct rb_node *old, struct 195 __rb_change_child(struct rb_node *old, struct rb_node *new,
196 struct rb_node *parent, stru 196 struct rb_node *parent, struct rb_root *root)
197 { 197 {
198 if (parent) { 198 if (parent) {
199 if (parent->rb_left == old) 199 if (parent->rb_left == old)
200 WRITE_ONCE(parent->rb_ 200 WRITE_ONCE(parent->rb_left, new);
201 else 201 else
202 WRITE_ONCE(parent->rb_ 202 WRITE_ONCE(parent->rb_right, new);
203 } else 203 } else
204 WRITE_ONCE(root->rb_node, new) 204 WRITE_ONCE(root->rb_node, new);
205 } 205 }
206 206
207 static inline void 207 static inline void
208 __rb_change_child_rcu(struct rb_node *old, str 208 __rb_change_child_rcu(struct rb_node *old, struct rb_node *new,
209 struct rb_node *parent, 209 struct rb_node *parent, struct rb_root *root)
210 { 210 {
211 if (parent) { 211 if (parent) {
212 if (parent->rb_left == old) 212 if (parent->rb_left == old)
213 rcu_assign_pointer(par 213 rcu_assign_pointer(parent->rb_left, new);
214 else 214 else
215 rcu_assign_pointer(par 215 rcu_assign_pointer(parent->rb_right, new);
216 } else 216 } else
217 rcu_assign_pointer(root->rb_no 217 rcu_assign_pointer(root->rb_node, new);
218 } 218 }
219 219
220 extern void __rb_erase_color(struct rb_node *p 220 extern void __rb_erase_color(struct rb_node *parent, struct rb_root *root,
221 void (*augment_rotate)(struct rb_node 221 void (*augment_rotate)(struct rb_node *old, struct rb_node *new));
222 222
223 static __always_inline struct rb_node * 223 static __always_inline struct rb_node *
224 __rb_erase_augmented(struct rb_node *node, str 224 __rb_erase_augmented(struct rb_node *node, struct rb_root *root,
225 const struct rb_augment_c 225 const struct rb_augment_callbacks *augment)
226 { 226 {
227 struct rb_node *child = node->rb_right 227 struct rb_node *child = node->rb_right;
228 struct rb_node *tmp = node->rb_left; 228 struct rb_node *tmp = node->rb_left;
229 struct rb_node *parent, *rebalance; 229 struct rb_node *parent, *rebalance;
230 unsigned long pc; 230 unsigned long pc;
231 231
232 if (!tmp) { 232 if (!tmp) {
233 /* 233 /*
234 * Case 1: node to erase has n 234 * Case 1: node to erase has no more than 1 child (easy!)
235 * 235 *
236 * Note that if there is one c 236 * Note that if there is one child it must be red due to 5)
237 * and node must be black due 237 * and node must be black due to 4). We adjust colors locally
238 * so as to bypass __rb_erase_ 238 * so as to bypass __rb_erase_color() later on.
239 */ 239 */
240 pc = node->__rb_parent_color; 240 pc = node->__rb_parent_color;
241 parent = __rb_parent(pc); 241 parent = __rb_parent(pc);
242 __rb_change_child(node, child, 242 __rb_change_child(node, child, parent, root);
243 if (child) { 243 if (child) {
244 child->__rb_parent_col 244 child->__rb_parent_color = pc;
245 rebalance = NULL; 245 rebalance = NULL;
246 } else 246 } else
247 rebalance = __rb_is_bl 247 rebalance = __rb_is_black(pc) ? parent : NULL;
248 tmp = parent; 248 tmp = parent;
249 } else if (!child) { 249 } else if (!child) {
250 /* Still case 1, but this time 250 /* Still case 1, but this time the child is node->rb_left */
251 tmp->__rb_parent_color = pc = 251 tmp->__rb_parent_color = pc = node->__rb_parent_color;
252 parent = __rb_parent(pc); 252 parent = __rb_parent(pc);
253 __rb_change_child(node, tmp, p 253 __rb_change_child(node, tmp, parent, root);
254 rebalance = NULL; 254 rebalance = NULL;
255 tmp = parent; 255 tmp = parent;
256 } else { 256 } else {
257 struct rb_node *successor = ch 257 struct rb_node *successor = child, *child2;
258 258
259 tmp = child->rb_left; 259 tmp = child->rb_left;
260 if (!tmp) { 260 if (!tmp) {
261 /* 261 /*
262 * Case 2: node's succ 262 * Case 2: node's successor is its right child
263 * 263 *
264 * (n) (s) 264 * (n) (s)
265 * / \ / \ 265 * / \ / \
266 * (x) (s) -> (x) ( 266 * (x) (s) -> (x) (c)
267 * \ 267 * \
268 * (c) 268 * (c)
269 */ 269 */
270 parent = successor; 270 parent = successor;
271 child2 = successor->rb 271 child2 = successor->rb_right;
272 272
273 augment->copy(node, su 273 augment->copy(node, successor);
274 } else { 274 } else {
275 /* 275 /*
276 * Case 3: node's succ 276 * Case 3: node's successor is leftmost under
277 * node's right child 277 * node's right child subtree
278 * 278 *
279 * (n) (s) 279 * (n) (s)
280 * / \ / \ 280 * / \ / \
281 * (x) (y) -> (x) ( 281 * (x) (y) -> (x) (y)
282 * / / 282 * / /
283 * (p) (p) 283 * (p) (p)
284 * / / 284 * / /
285 * (s) (c) 285 * (s) (c)
286 * \ 286 * \
287 * (c) 287 * (c)
288 */ 288 */
289 do { 289 do {
290 parent = succe 290 parent = successor;
291 successor = tm 291 successor = tmp;
292 tmp = tmp->rb_ 292 tmp = tmp->rb_left;
293 } while (tmp); 293 } while (tmp);
294 child2 = successor->rb 294 child2 = successor->rb_right;
295 WRITE_ONCE(parent->rb_ 295 WRITE_ONCE(parent->rb_left, child2);
296 WRITE_ONCE(successor-> 296 WRITE_ONCE(successor->rb_right, child);
297 rb_set_parent(child, s 297 rb_set_parent(child, successor);
298 298
299 augment->copy(node, su 299 augment->copy(node, successor);
300 augment->propagate(par 300 augment->propagate(parent, successor);
301 } 301 }
302 302
303 tmp = node->rb_left; 303 tmp = node->rb_left;
304 WRITE_ONCE(successor->rb_left, 304 WRITE_ONCE(successor->rb_left, tmp);
305 rb_set_parent(tmp, successor); 305 rb_set_parent(tmp, successor);
306 306
307 pc = node->__rb_parent_color; 307 pc = node->__rb_parent_color;
308 tmp = __rb_parent(pc); 308 tmp = __rb_parent(pc);
309 __rb_change_child(node, succes 309 __rb_change_child(node, successor, tmp, root);
310 310
311 if (child2) { 311 if (child2) {
312 rb_set_parent_color(ch 312 rb_set_parent_color(child2, parent, RB_BLACK);
313 rebalance = NULL; 313 rebalance = NULL;
314 } else { 314 } else {
315 rebalance = rb_is_blac 315 rebalance = rb_is_black(successor) ? parent : NULL;
316 } 316 }
317 successor->__rb_parent_color = 317 successor->__rb_parent_color = pc;
318 tmp = successor; 318 tmp = successor;
319 } 319 }
320 320
321 augment->propagate(tmp, NULL); 321 augment->propagate(tmp, NULL);
322 return rebalance; 322 return rebalance;
323 } 323 }
324 324
325 static __always_inline void 325 static __always_inline void
326 rb_erase_augmented(struct rb_node *node, struc 326 rb_erase_augmented(struct rb_node *node, struct rb_root *root,
327 const struct rb_augment_cal 327 const struct rb_augment_callbacks *augment)
328 { 328 {
329 struct rb_node *rebalance = __rb_erase 329 struct rb_node *rebalance = __rb_erase_augmented(node, root, augment);
330 if (rebalance) 330 if (rebalance)
331 __rb_erase_color(rebalance, ro 331 __rb_erase_color(rebalance, root, augment->rotate);
332 } 332 }
333 333
334 static __always_inline void 334 static __always_inline void
335 rb_erase_augmented_cached(struct rb_node *node 335 rb_erase_augmented_cached(struct rb_node *node, struct rb_root_cached *root,
336 const struct rb_augm 336 const struct rb_augment_callbacks *augment)
337 { 337 {
338 if (root->rb_leftmost == node) 338 if (root->rb_leftmost == node)
339 root->rb_leftmost = rb_next(no 339 root->rb_leftmost = rb_next(node);
340 rb_erase_augmented(node, &root->rb_roo 340 rb_erase_augmented(node, &root->rb_root, augment);
341 } 341 }
342 342
343 #endif /* _LINUX_RBTREE_AUGMENTED_H */ 343 #endif /* _LINUX_RBTREE_AUGMENTED_H */
344 344
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