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1a59d1b8 1/* SPDX-License-Identifier: GPL-2.0-or-later */
1da177e4
LT
2/*
3 Red Black Trees
4 (C) 1999 Andrea Arcangeli <andrea@suse.de>
5
1da177e4
LT
6
7 linux/include/linux/rbtree.h
8
9 To use rbtrees you'll have to implement your own insert and search cores.
10 This will avoid us to use callbacks and to drop drammatically performances.
11 I know it's not the cleaner way, but in C (not in C++) to get
12 performances and genericity...
13
14bbe3e3 14 See Documentation/core-api/rbtree.rst for documentation and samples.
1da177e4
LT
15*/
16
17#ifndef _LINUX_RBTREE_H
18#define _LINUX_RBTREE_H
19
20#include <linux/kernel.h>
21#include <linux/stddef.h>
d72da4a4 22#include <linux/rcupdate.h>
1da177e4 23
bf7ad8ee
ML
24struct rb_node {
25 unsigned long __rb_parent_color;
1da177e4
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26 struct rb_node *rb_right;
27 struct rb_node *rb_left;
e977145a
DW
28} __attribute__((aligned(sizeof(long))));
29 /* The alignment might seem pointless, but allegedly CRIS needs it */
1da177e4 30
bf7ad8ee 31struct rb_root {
1da177e4
LT
32 struct rb_node *rb_node;
33};
34
bf7ad8ee 35#define rb_parent(r) ((struct rb_node *)((r)->__rb_parent_color & ~3))
55a98102 36
b945d6b2 37#define RB_ROOT (struct rb_root) { NULL, }
1da177e4
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38#define rb_entry(ptr, type, member) container_of(ptr, type, member)
39
a460bece 40#define RB_EMPTY_ROOT(root) (READ_ONCE((root)->rb_node) == NULL)
4c199a93 41
7647f14f 42/* 'empty' nodes are nodes that are known not to be inserted in an rbtree */
bf7ad8ee
ML
43#define RB_EMPTY_NODE(node) \
44 ((node)->__rb_parent_color == (unsigned long)(node))
45#define RB_CLEAR_NODE(node) \
46 ((node)->__rb_parent_color = (unsigned long)(node))
dd67d051 47
88d19cf3 48
1da177e4
LT
49extern void rb_insert_color(struct rb_node *, struct rb_root *);
50extern void rb_erase(struct rb_node *, struct rb_root *);
51
14b94af0 52
1da177e4 53/* Find logical next and previous nodes in a tree */
f4b477c4
AB
54extern struct rb_node *rb_next(const struct rb_node *);
55extern struct rb_node *rb_prev(const struct rb_node *);
56extern struct rb_node *rb_first(const struct rb_root *);
57extern struct rb_node *rb_last(const struct rb_root *);
1da177e4 58
9dee5c51
CS
59/* Postorder iteration - always visit the parent after its children */
60extern struct rb_node *rb_first_postorder(const struct rb_root *);
61extern struct rb_node *rb_next_postorder(const struct rb_node *);
62
1da177e4 63/* Fast replacement of a single node without remove/rebalance/add/rebalance */
d72da4a4 64extern void rb_replace_node(struct rb_node *victim, struct rb_node *new,
1da177e4 65 struct rb_root *root);
c1adf200
DH
66extern void rb_replace_node_rcu(struct rb_node *victim, struct rb_node *new,
67 struct rb_root *root);
1da177e4 68
d72da4a4
PZ
69static inline void rb_link_node(struct rb_node *node, struct rb_node *parent,
70 struct rb_node **rb_link)
1da177e4 71{
bf7ad8ee 72 node->__rb_parent_color = (unsigned long)parent;
1da177e4
LT
73 node->rb_left = node->rb_right = NULL;
74
75 *rb_link = node;
76}
77
d72da4a4
PZ
78static inline void rb_link_node_rcu(struct rb_node *node, struct rb_node *parent,
79 struct rb_node **rb_link)
80{
81 node->__rb_parent_color = (unsigned long)parent;
82 node->rb_left = node->rb_right = NULL;
83
84 rcu_assign_pointer(*rb_link, node);
85}
86
1310a5a9
JK
87#define rb_entry_safe(ptr, type, member) \
88 ({ typeof(ptr) ____ptr = (ptr); \
89 ____ptr ? rb_entry(____ptr, type, member) : NULL; \
90 })
91
2b529089 92/**
8de1ee7e
CS
93 * rbtree_postorder_for_each_entry_safe - iterate in post-order over rb_root of
94 * given type allowing the backing memory of @pos to be invalidated
2b529089
CS
95 *
96 * @pos: the 'type *' to use as a loop cursor.
97 * @n: another 'type *' to use as temporary storage
98 * @root: 'rb_root *' of the rbtree.
99 * @field: the name of the rb_node field within 'type'.
8de1ee7e
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100 *
101 * rbtree_postorder_for_each_entry_safe() provides a similar guarantee as
102 * list_for_each_entry_safe() and allows the iteration to continue independent
103 * of changes to @pos by the body of the loop.
104 *
105 * Note, however, that it cannot handle other modifications that re-order the
106 * rbtree it is iterating over. This includes calling rb_erase() on @pos, as
107 * rb_erase() may rebalance the tree, causing us to miss some nodes.
2b529089
CS
108 */
109#define rbtree_postorder_for_each_entry_safe(pos, n, root, field) \
1310a5a9
JK
110 for (pos = rb_entry_safe(rb_first_postorder(root), typeof(*pos), field); \
111 pos && ({ n = rb_entry_safe(rb_next_postorder(&pos->field), \
112 typeof(*pos), field); 1; }); \
113 pos = n)
2b529089 114
9f973cb3
ML
115/*
116 * Leftmost-cached rbtrees.
117 *
118 * We do not cache the rightmost node based on footprint
119 * size vs number of potential users that could benefit
120 * from O(1) rb_last(). Just not worth it, users that want
121 * this feature can always implement the logic explicitly.
122 * Furthermore, users that want to cache both pointers may
123 * find it a bit asymmetric, but that's ok.
124 */
125struct rb_root_cached {
126 struct rb_root rb_root;
127 struct rb_node *rb_leftmost;
128};
129
130#define RB_ROOT_CACHED (struct rb_root_cached) { {NULL, }, NULL }
131
132/* Same as rb_first(), but O(1) */
133#define rb_first_cached(root) (root)->rb_leftmost
134
135static inline void rb_insert_color_cached(struct rb_node *node,
136 struct rb_root_cached *root,
137 bool leftmost)
138{
139 if (leftmost)
140 root->rb_leftmost = node;
141 rb_insert_color(node, &root->rb_root);
142}
143
8ecca394
PZ
144
145static inline struct rb_node *
146rb_erase_cached(struct rb_node *node, struct rb_root_cached *root)
9f973cb3 147{
8ecca394
PZ
148 struct rb_node *leftmost = NULL;
149
9f973cb3 150 if (root->rb_leftmost == node)
8ecca394
PZ
151 leftmost = root->rb_leftmost = rb_next(node);
152
9f973cb3 153 rb_erase(node, &root->rb_root);
8ecca394
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154
155 return leftmost;
9f973cb3
ML
156}
157
158static inline void rb_replace_node_cached(struct rb_node *victim,
159 struct rb_node *new,
160 struct rb_root_cached *root)
161{
162 if (root->rb_leftmost == victim)
163 root->rb_leftmost = new;
164 rb_replace_node(victim, new, &root->rb_root);
165}
166
2d24dd57
PZ
167/*
168 * The below helper functions use 2 operators with 3 different
169 * calling conventions. The operators are related like:
170 *
171 * comp(a->key,b) < 0 := less(a,b)
172 * comp(a->key,b) > 0 := less(b,a)
173 * comp(a->key,b) == 0 := !less(a,b) && !less(b,a)
174 *
175 * If these operators define a partial order on the elements we make no
176 * guarantee on which of the elements matching the key is found. See
177 * rb_find().
178 *
179 * The reason for this is to allow the find() interface without requiring an
180 * on-stack dummy object, which might not be feasible due to object size.
181 */
182
183/**
184 * rb_add_cached() - insert @node into the leftmost cached tree @tree
185 * @node: node to insert
186 * @tree: leftmost cached tree to insert @node into
187 * @less: operator defining the (partial) node order
8ecca394
PZ
188 *
189 * Returns @node when it is the new leftmost, or NULL.
2d24dd57 190 */
8ecca394 191static __always_inline struct rb_node *
2d24dd57
PZ
192rb_add_cached(struct rb_node *node, struct rb_root_cached *tree,
193 bool (*less)(struct rb_node *, const struct rb_node *))
194{
195 struct rb_node **link = &tree->rb_root.rb_node;
196 struct rb_node *parent = NULL;
197 bool leftmost = true;
198
199 while (*link) {
200 parent = *link;
201 if (less(node, parent)) {
202 link = &parent->rb_left;
203 } else {
204 link = &parent->rb_right;
205 leftmost = false;
206 }
207 }
208
209 rb_link_node(node, parent, link);
210 rb_insert_color_cached(node, tree, leftmost);
8ecca394
PZ
211
212 return leftmost ? node : NULL;
2d24dd57
PZ
213}
214
215/**
216 * rb_add() - insert @node into @tree
217 * @node: node to insert
218 * @tree: tree to insert @node into
219 * @less: operator defining the (partial) node order
220 */
221static __always_inline void
222rb_add(struct rb_node *node, struct rb_root *tree,
223 bool (*less)(struct rb_node *, const struct rb_node *))
224{
225 struct rb_node **link = &tree->rb_node;
226 struct rb_node *parent = NULL;
227
228 while (*link) {
229 parent = *link;
230 if (less(node, parent))
231 link = &parent->rb_left;
232 else
233 link = &parent->rb_right;
234 }
235
236 rb_link_node(node, parent, link);
237 rb_insert_color(node, tree);
238}
239
240/**
241 * rb_find_add() - find equivalent @node in @tree, or add @node
242 * @node: node to look-for / insert
243 * @tree: tree to search / modify
244 * @cmp: operator defining the node order
245 *
246 * Returns the rb_node matching @node, or NULL when no match is found and @node
247 * is inserted.
248 */
249static __always_inline struct rb_node *
250rb_find_add(struct rb_node *node, struct rb_root *tree,
251 int (*cmp)(struct rb_node *, const struct rb_node *))
252{
253 struct rb_node **link = &tree->rb_node;
254 struct rb_node *parent = NULL;
255 int c;
256
257 while (*link) {
258 parent = *link;
259 c = cmp(node, parent);
260
261 if (c < 0)
262 link = &parent->rb_left;
263 else if (c > 0)
264 link = &parent->rb_right;
265 else
266 return parent;
267 }
268
269 rb_link_node(node, parent, link);
270 rb_insert_color(node, tree);
271 return NULL;
272}
273
274/**
275 * rb_find() - find @key in tree @tree
276 * @key: key to match
277 * @tree: tree to search
278 * @cmp: operator defining the node order
279 *
280 * Returns the rb_node matching @key or NULL.
281 */
282static __always_inline struct rb_node *
283rb_find(const void *key, const struct rb_root *tree,
284 int (*cmp)(const void *key, const struct rb_node *))
285{
286 struct rb_node *node = tree->rb_node;
287
288 while (node) {
289 int c = cmp(key, node);
290
291 if (c < 0)
292 node = node->rb_left;
293 else if (c > 0)
294 node = node->rb_right;
295 else
296 return node;
297 }
298
299 return NULL;
300}
301
302/**
303 * rb_find_first() - find the first @key in @tree
304 * @key: key to match
305 * @tree: tree to search
306 * @cmp: operator defining node order
307 *
308 * Returns the leftmost node matching @key, or NULL.
309 */
310static __always_inline struct rb_node *
311rb_find_first(const void *key, const struct rb_root *tree,
312 int (*cmp)(const void *key, const struct rb_node *))
313{
314 struct rb_node *node = tree->rb_node;
315 struct rb_node *match = NULL;
316
317 while (node) {
318 int c = cmp(key, node);
319
320 if (c <= 0) {
321 if (!c)
322 match = node;
323 node = node->rb_left;
324 } else if (c > 0) {
325 node = node->rb_right;
326 }
327 }
328
329 return match;
330}
331
332/**
333 * rb_next_match() - find the next @key in @tree
334 * @key: key to match
335 * @tree: tree to search
336 * @cmp: operator defining node order
337 *
338 * Returns the next node matching @key, or NULL.
339 */
340static __always_inline struct rb_node *
341rb_next_match(const void *key, struct rb_node *node,
342 int (*cmp)(const void *key, const struct rb_node *))
343{
344 node = rb_next(node);
345 if (node && cmp(key, node))
346 node = NULL;
347 return node;
348}
349
350/**
351 * rb_for_each() - iterates a subtree matching @key
352 * @node: iterator
353 * @key: key to match
354 * @tree: tree to search
355 * @cmp: operator defining node order
356 */
357#define rb_for_each(node, key, tree, cmp) \
358 for ((node) = rb_find_first((key), (tree), (cmp)); \
359 (node); (node) = rb_next_match((key), (node), (cmp)))
360
1da177e4 361#endif /* _LINUX_RBTREE_H */