xref: /openbmc/linux/lib/btree.c (revision b732539e)
1 /*
2  * lib/btree.c	- Simple In-memory B+Tree
3  *
4  * As should be obvious for Linux kernel code, license is GPLv2
5  *
6  * Copyright (c) 2007-2008 Joern Engel <joern@purestorage.com>
7  * Bits and pieces stolen from Peter Zijlstra's code, which is
8  * Copyright 2007, Red Hat Inc. Peter Zijlstra
9  * GPLv2
10  *
11  * see http://programming.kicks-ass.net/kernel-patches/vma_lookup/btree.patch
12  *
13  * A relatively simple B+Tree implementation.  I have written it as a learning
14  * exercise to understand how B+Trees work.  Turned out to be useful as well.
15  *
16  * B+Trees can be used similar to Linux radix trees (which don't have anything
17  * in common with textbook radix trees, beware).  Prerequisite for them working
18  * well is that access to a random tree node is much faster than a large number
19  * of operations within each node.
20  *
21  * Disks have fulfilled the prerequisite for a long time.  More recently DRAM
22  * has gained similar properties, as memory access times, when measured in cpu
23  * cycles, have increased.  Cacheline sizes have increased as well, which also
24  * helps B+Trees.
25  *
26  * Compared to radix trees, B+Trees are more efficient when dealing with a
27  * sparsely populated address space.  Between 25% and 50% of the memory is
28  * occupied with valid pointers.  When densely populated, radix trees contain
29  * ~98% pointers - hard to beat.  Very sparse radix trees contain only ~2%
30  * pointers.
31  *
32  * This particular implementation stores pointers identified by a long value.
33  * Storing NULL pointers is illegal, lookup will return NULL when no entry
34  * was found.
35  *
36  * A tricks was used that is not commonly found in textbooks.  The lowest
37  * values are to the right, not to the left.  All used slots within a node
38  * are on the left, all unused slots contain NUL values.  Most operations
39  * simply loop once over all slots and terminate on the first NUL.
40  */
41 
42 #include <linux/btree.h>
43 #include <linux/cache.h>
44 #include <linux/kernel.h>
45 #include <linux/slab.h>
46 #include <linux/module.h>
47 
48 #define MAX(a, b) ((a) > (b) ? (a) : (b))
49 #define NODESIZE MAX(L1_CACHE_BYTES, 128)
50 
51 struct btree_geo {
52 	int keylen;
53 	int no_pairs;
54 	int no_longs;
55 };
56 
57 struct btree_geo btree_geo32 = {
58 	.keylen = 1,
59 	.no_pairs = NODESIZE / sizeof(long) / 2,
60 	.no_longs = NODESIZE / sizeof(long) / 2,
61 };
62 EXPORT_SYMBOL_GPL(btree_geo32);
63 
64 #define LONG_PER_U64 (64 / BITS_PER_LONG)
65 struct btree_geo btree_geo64 = {
66 	.keylen = LONG_PER_U64,
67 	.no_pairs = NODESIZE / sizeof(long) / (1 + LONG_PER_U64),
68 	.no_longs = LONG_PER_U64 * (NODESIZE / sizeof(long) / (1 + LONG_PER_U64)),
69 };
70 EXPORT_SYMBOL_GPL(btree_geo64);
71 
72 struct btree_geo btree_geo128 = {
73 	.keylen = 2 * LONG_PER_U64,
74 	.no_pairs = NODESIZE / sizeof(long) / (1 + 2 * LONG_PER_U64),
75 	.no_longs = 2 * LONG_PER_U64 * (NODESIZE / sizeof(long) / (1 + 2 * LONG_PER_U64)),
76 };
77 EXPORT_SYMBOL_GPL(btree_geo128);
78 
79 #define MAX_KEYLEN	(2 * LONG_PER_U64)
80 
81 static struct kmem_cache *btree_cachep;
82 
83 void *btree_alloc(gfp_t gfp_mask, void *pool_data)
84 {
85 	return kmem_cache_alloc(btree_cachep, gfp_mask);
86 }
87 EXPORT_SYMBOL_GPL(btree_alloc);
88 
89 void btree_free(void *element, void *pool_data)
90 {
91 	kmem_cache_free(btree_cachep, element);
92 }
93 EXPORT_SYMBOL_GPL(btree_free);
94 
95 static unsigned long *btree_node_alloc(struct btree_head *head, gfp_t gfp)
96 {
97 	unsigned long *node;
98 
99 	node = mempool_alloc(head->mempool, gfp);
100 	if (likely(node))
101 		memset(node, 0, NODESIZE);
102 	return node;
103 }
104 
105 static int longcmp(const unsigned long *l1, const unsigned long *l2, size_t n)
106 {
107 	size_t i;
108 
109 	for (i = 0; i < n; i++) {
110 		if (l1[i] < l2[i])
111 			return -1;
112 		if (l1[i] > l2[i])
113 			return 1;
114 	}
115 	return 0;
116 }
117 
118 static unsigned long *longcpy(unsigned long *dest, const unsigned long *src,
119 		size_t n)
120 {
121 	size_t i;
122 
123 	for (i = 0; i < n; i++)
124 		dest[i] = src[i];
125 	return dest;
126 }
127 
128 static unsigned long *longset(unsigned long *s, unsigned long c, size_t n)
129 {
130 	size_t i;
131 
132 	for (i = 0; i < n; i++)
133 		s[i] = c;
134 	return s;
135 }
136 
137 static void dec_key(struct btree_geo *geo, unsigned long *key)
138 {
139 	unsigned long val;
140 	int i;
141 
142 	for (i = geo->keylen - 1; i >= 0; i--) {
143 		val = key[i];
144 		key[i] = val - 1;
145 		if (val)
146 			break;
147 	}
148 }
149 
150 static unsigned long *bkey(struct btree_geo *geo, unsigned long *node, int n)
151 {
152 	return &node[n * geo->keylen];
153 }
154 
155 static void *bval(struct btree_geo *geo, unsigned long *node, int n)
156 {
157 	return (void *)node[geo->no_longs + n];
158 }
159 
160 static void setkey(struct btree_geo *geo, unsigned long *node, int n,
161 		   unsigned long *key)
162 {
163 	longcpy(bkey(geo, node, n), key, geo->keylen);
164 }
165 
166 static void setval(struct btree_geo *geo, unsigned long *node, int n,
167 		   void *val)
168 {
169 	node[geo->no_longs + n] = (unsigned long) val;
170 }
171 
172 static void clearpair(struct btree_geo *geo, unsigned long *node, int n)
173 {
174 	longset(bkey(geo, node, n), 0, geo->keylen);
175 	node[geo->no_longs + n] = 0;
176 }
177 
178 static inline void __btree_init(struct btree_head *head)
179 {
180 	head->node = NULL;
181 	head->height = 0;
182 }
183 
184 void btree_init_mempool(struct btree_head *head, mempool_t *mempool)
185 {
186 	__btree_init(head);
187 	head->mempool = mempool;
188 }
189 EXPORT_SYMBOL_GPL(btree_init_mempool);
190 
191 int btree_init(struct btree_head *head)
192 {
193 	__btree_init(head);
194 	head->mempool = mempool_create(0, btree_alloc, btree_free, NULL);
195 	if (!head->mempool)
196 		return -ENOMEM;
197 	return 0;
198 }
199 EXPORT_SYMBOL_GPL(btree_init);
200 
201 void btree_destroy(struct btree_head *head)
202 {
203 	mempool_free(head->node, head->mempool);
204 	mempool_destroy(head->mempool);
205 	head->mempool = NULL;
206 }
207 EXPORT_SYMBOL_GPL(btree_destroy);
208 
209 void *btree_last(struct btree_head *head, struct btree_geo *geo,
210 		 unsigned long *key)
211 {
212 	int height = head->height;
213 	unsigned long *node = head->node;
214 
215 	if (height == 0)
216 		return NULL;
217 
218 	for ( ; height > 1; height--)
219 		node = bval(geo, node, 0);
220 
221 	longcpy(key, bkey(geo, node, 0), geo->keylen);
222 	return bval(geo, node, 0);
223 }
224 EXPORT_SYMBOL_GPL(btree_last);
225 
226 static int keycmp(struct btree_geo *geo, unsigned long *node, int pos,
227 		  unsigned long *key)
228 {
229 	return longcmp(bkey(geo, node, pos), key, geo->keylen);
230 }
231 
232 static int keyzero(struct btree_geo *geo, unsigned long *key)
233 {
234 	int i;
235 
236 	for (i = 0; i < geo->keylen; i++)
237 		if (key[i])
238 			return 0;
239 
240 	return 1;
241 }
242 
243 void *btree_lookup(struct btree_head *head, struct btree_geo *geo,
244 		unsigned long *key)
245 {
246 	int i, height = head->height;
247 	unsigned long *node = head->node;
248 
249 	if (height == 0)
250 		return NULL;
251 
252 	for ( ; height > 1; height--) {
253 		for (i = 0; i < geo->no_pairs; i++)
254 			if (keycmp(geo, node, i, key) <= 0)
255 				break;
256 		if (i == geo->no_pairs)
257 			return NULL;
258 		node = bval(geo, node, i);
259 		if (!node)
260 			return NULL;
261 	}
262 
263 	if (!node)
264 		return NULL;
265 
266 	for (i = 0; i < geo->no_pairs; i++)
267 		if (keycmp(geo, node, i, key) == 0)
268 			return bval(geo, node, i);
269 	return NULL;
270 }
271 EXPORT_SYMBOL_GPL(btree_lookup);
272 
273 int btree_update(struct btree_head *head, struct btree_geo *geo,
274 		 unsigned long *key, void *val)
275 {
276 	int i, height = head->height;
277 	unsigned long *node = head->node;
278 
279 	if (height == 0)
280 		return -ENOENT;
281 
282 	for ( ; height > 1; height--) {
283 		for (i = 0; i < geo->no_pairs; i++)
284 			if (keycmp(geo, node, i, key) <= 0)
285 				break;
286 		if (i == geo->no_pairs)
287 			return -ENOENT;
288 		node = bval(geo, node, i);
289 		if (!node)
290 			return -ENOENT;
291 	}
292 
293 	if (!node)
294 		return -ENOENT;
295 
296 	for (i = 0; i < geo->no_pairs; i++)
297 		if (keycmp(geo, node, i, key) == 0) {
298 			setval(geo, node, i, val);
299 			return 0;
300 		}
301 	return -ENOENT;
302 }
303 EXPORT_SYMBOL_GPL(btree_update);
304 
305 /*
306  * Usually this function is quite similar to normal lookup.  But the key of
307  * a parent node may be smaller than the smallest key of all its siblings.
308  * In such a case we cannot just return NULL, as we have only proven that no
309  * key smaller than __key, but larger than this parent key exists.
310  * So we set __key to the parent key and retry.  We have to use the smallest
311  * such parent key, which is the last parent key we encountered.
312  */
313 void *btree_get_prev(struct btree_head *head, struct btree_geo *geo,
314 		     unsigned long *__key)
315 {
316 	int i, height;
317 	unsigned long *node, *oldnode;
318 	unsigned long *retry_key = NULL, key[MAX_KEYLEN];
319 
320 	if (keyzero(geo, __key))
321 		return NULL;
322 
323 	if (head->height == 0)
324 		return NULL;
325 	longcpy(key, __key, geo->keylen);
326 retry:
327 	dec_key(geo, key);
328 
329 	node = head->node;
330 	for (height = head->height ; height > 1; height--) {
331 		for (i = 0; i < geo->no_pairs; i++)
332 			if (keycmp(geo, node, i, key) <= 0)
333 				break;
334 		if (i == geo->no_pairs)
335 			goto miss;
336 		oldnode = node;
337 		node = bval(geo, node, i);
338 		if (!node)
339 			goto miss;
340 		retry_key = bkey(geo, oldnode, i);
341 	}
342 
343 	if (!node)
344 		goto miss;
345 
346 	for (i = 0; i < geo->no_pairs; i++) {
347 		if (keycmp(geo, node, i, key) <= 0) {
348 			if (bval(geo, node, i)) {
349 				longcpy(__key, bkey(geo, node, i), geo->keylen);
350 				return bval(geo, node, i);
351 			} else
352 				goto miss;
353 		}
354 	}
355 miss:
356 	if (retry_key) {
357 		longcpy(key, retry_key, geo->keylen);
358 		retry_key = NULL;
359 		goto retry;
360 	}
361 	return NULL;
362 }
363 EXPORT_SYMBOL_GPL(btree_get_prev);
364 
365 static int getpos(struct btree_geo *geo, unsigned long *node,
366 		unsigned long *key)
367 {
368 	int i;
369 
370 	for (i = 0; i < geo->no_pairs; i++) {
371 		if (keycmp(geo, node, i, key) <= 0)
372 			break;
373 	}
374 	return i;
375 }
376 
377 static int getfill(struct btree_geo *geo, unsigned long *node, int start)
378 {
379 	int i;
380 
381 	for (i = start; i < geo->no_pairs; i++)
382 		if (!bval(geo, node, i))
383 			break;
384 	return i;
385 }
386 
387 /*
388  * locate the correct leaf node in the btree
389  */
390 static unsigned long *find_level(struct btree_head *head, struct btree_geo *geo,
391 		unsigned long *key, int level)
392 {
393 	unsigned long *node = head->node;
394 	int i, height;
395 
396 	for (height = head->height; height > level; height--) {
397 		for (i = 0; i < geo->no_pairs; i++)
398 			if (keycmp(geo, node, i, key) <= 0)
399 				break;
400 
401 		if ((i == geo->no_pairs) || !bval(geo, node, i)) {
402 			/* right-most key is too large, update it */
403 			/* FIXME: If the right-most key on higher levels is
404 			 * always zero, this wouldn't be necessary. */
405 			i--;
406 			setkey(geo, node, i, key);
407 		}
408 		BUG_ON(i < 0);
409 		node = bval(geo, node, i);
410 	}
411 	BUG_ON(!node);
412 	return node;
413 }
414 
415 static int btree_grow(struct btree_head *head, struct btree_geo *geo,
416 		      gfp_t gfp)
417 {
418 	unsigned long *node;
419 	int fill;
420 
421 	node = btree_node_alloc(head, gfp);
422 	if (!node)
423 		return -ENOMEM;
424 	if (head->node) {
425 		fill = getfill(geo, head->node, 0);
426 		setkey(geo, node, 0, bkey(geo, head->node, fill - 1));
427 		setval(geo, node, 0, head->node);
428 	}
429 	head->node = node;
430 	head->height++;
431 	return 0;
432 }
433 
434 static void btree_shrink(struct btree_head *head, struct btree_geo *geo)
435 {
436 	unsigned long *node;
437 	int fill;
438 
439 	if (head->height <= 1)
440 		return;
441 
442 	node = head->node;
443 	fill = getfill(geo, node, 0);
444 	BUG_ON(fill > 1);
445 	head->node = bval(geo, node, 0);
446 	head->height--;
447 	mempool_free(node, head->mempool);
448 }
449 
450 static int btree_insert_level(struct btree_head *head, struct btree_geo *geo,
451 			      unsigned long *key, void *val, int level,
452 			      gfp_t gfp)
453 {
454 	unsigned long *node;
455 	int i, pos, fill, err;
456 
457 	BUG_ON(!val);
458 	if (head->height < level) {
459 		err = btree_grow(head, geo, gfp);
460 		if (err)
461 			return err;
462 	}
463 
464 retry:
465 	node = find_level(head, geo, key, level);
466 	pos = getpos(geo, node, key);
467 	fill = getfill(geo, node, pos);
468 	/* two identical keys are not allowed */
469 	BUG_ON(pos < fill && keycmp(geo, node, pos, key) == 0);
470 
471 	if (fill == geo->no_pairs) {
472 		/* need to split node */
473 		unsigned long *new;
474 
475 		new = btree_node_alloc(head, gfp);
476 		if (!new)
477 			return -ENOMEM;
478 		err = btree_insert_level(head, geo,
479 				bkey(geo, node, fill / 2 - 1),
480 				new, level + 1, gfp);
481 		if (err) {
482 			mempool_free(new, head->mempool);
483 			return err;
484 		}
485 		for (i = 0; i < fill / 2; i++) {
486 			setkey(geo, new, i, bkey(geo, node, i));
487 			setval(geo, new, i, bval(geo, node, i));
488 			setkey(geo, node, i, bkey(geo, node, i + fill / 2));
489 			setval(geo, node, i, bval(geo, node, i + fill / 2));
490 			clearpair(geo, node, i + fill / 2);
491 		}
492 		if (fill & 1) {
493 			setkey(geo, node, i, bkey(geo, node, fill - 1));
494 			setval(geo, node, i, bval(geo, node, fill - 1));
495 			clearpair(geo, node, fill - 1);
496 		}
497 		goto retry;
498 	}
499 	BUG_ON(fill >= geo->no_pairs);
500 
501 	/* shift and insert */
502 	for (i = fill; i > pos; i--) {
503 		setkey(geo, node, i, bkey(geo, node, i - 1));
504 		setval(geo, node, i, bval(geo, node, i - 1));
505 	}
506 	setkey(geo, node, pos, key);
507 	setval(geo, node, pos, val);
508 
509 	return 0;
510 }
511 
512 int btree_insert(struct btree_head *head, struct btree_geo *geo,
513 		unsigned long *key, void *val, gfp_t gfp)
514 {
515 	BUG_ON(!val);
516 	return btree_insert_level(head, geo, key, val, 1, gfp);
517 }
518 EXPORT_SYMBOL_GPL(btree_insert);
519 
520 static void *btree_remove_level(struct btree_head *head, struct btree_geo *geo,
521 		unsigned long *key, int level);
522 static void merge(struct btree_head *head, struct btree_geo *geo, int level,
523 		unsigned long *left, int lfill,
524 		unsigned long *right, int rfill,
525 		unsigned long *parent, int lpos)
526 {
527 	int i;
528 
529 	for (i = 0; i < rfill; i++) {
530 		/* Move all keys to the left */
531 		setkey(geo, left, lfill + i, bkey(geo, right, i));
532 		setval(geo, left, lfill + i, bval(geo, right, i));
533 	}
534 	/* Exchange left and right child in parent */
535 	setval(geo, parent, lpos, right);
536 	setval(geo, parent, lpos + 1, left);
537 	/* Remove left (formerly right) child from parent */
538 	btree_remove_level(head, geo, bkey(geo, parent, lpos), level + 1);
539 	mempool_free(right, head->mempool);
540 }
541 
542 static void rebalance(struct btree_head *head, struct btree_geo *geo,
543 		unsigned long *key, int level, unsigned long *child, int fill)
544 {
545 	unsigned long *parent, *left = NULL, *right = NULL;
546 	int i, no_left, no_right;
547 
548 	if (fill == 0) {
549 		/* Because we don't steal entries from a neighbour, this case
550 		 * can happen.  Parent node contains a single child, this
551 		 * node, so merging with a sibling never happens.
552 		 */
553 		btree_remove_level(head, geo, key, level + 1);
554 		mempool_free(child, head->mempool);
555 		return;
556 	}
557 
558 	parent = find_level(head, geo, key, level + 1);
559 	i = getpos(geo, parent, key);
560 	BUG_ON(bval(geo, parent, i) != child);
561 
562 	if (i > 0) {
563 		left = bval(geo, parent, i - 1);
564 		no_left = getfill(geo, left, 0);
565 		if (fill + no_left <= geo->no_pairs) {
566 			merge(head, geo, level,
567 					left, no_left,
568 					child, fill,
569 					parent, i - 1);
570 			return;
571 		}
572 	}
573 	if (i + 1 < getfill(geo, parent, i)) {
574 		right = bval(geo, parent, i + 1);
575 		no_right = getfill(geo, right, 0);
576 		if (fill + no_right <= geo->no_pairs) {
577 			merge(head, geo, level,
578 					child, fill,
579 					right, no_right,
580 					parent, i);
581 			return;
582 		}
583 	}
584 	/*
585 	 * We could also try to steal one entry from the left or right
586 	 * neighbor.  By not doing so we changed the invariant from
587 	 * "all nodes are at least half full" to "no two neighboring
588 	 * nodes can be merged".  Which means that the average fill of
589 	 * all nodes is still half or better.
590 	 */
591 }
592 
593 static void *btree_remove_level(struct btree_head *head, struct btree_geo *geo,
594 		unsigned long *key, int level)
595 {
596 	unsigned long *node;
597 	int i, pos, fill;
598 	void *ret;
599 
600 	if (level > head->height) {
601 		/* we recursed all the way up */
602 		head->height = 0;
603 		head->node = NULL;
604 		return NULL;
605 	}
606 
607 	node = find_level(head, geo, key, level);
608 	pos = getpos(geo, node, key);
609 	fill = getfill(geo, node, pos);
610 	if ((level == 1) && (keycmp(geo, node, pos, key) != 0))
611 		return NULL;
612 	ret = bval(geo, node, pos);
613 
614 	/* remove and shift */
615 	for (i = pos; i < fill - 1; i++) {
616 		setkey(geo, node, i, bkey(geo, node, i + 1));
617 		setval(geo, node, i, bval(geo, node, i + 1));
618 	}
619 	clearpair(geo, node, fill - 1);
620 
621 	if (fill - 1 < geo->no_pairs / 2) {
622 		if (level < head->height)
623 			rebalance(head, geo, key, level, node, fill - 1);
624 		else if (fill - 1 == 1)
625 			btree_shrink(head, geo);
626 	}
627 
628 	return ret;
629 }
630 
631 void *btree_remove(struct btree_head *head, struct btree_geo *geo,
632 		unsigned long *key)
633 {
634 	if (head->height == 0)
635 		return NULL;
636 
637 	return btree_remove_level(head, geo, key, 1);
638 }
639 EXPORT_SYMBOL_GPL(btree_remove);
640 
641 int btree_merge(struct btree_head *target, struct btree_head *victim,
642 		struct btree_geo *geo, gfp_t gfp)
643 {
644 	unsigned long key[MAX_KEYLEN];
645 	unsigned long dup[MAX_KEYLEN];
646 	void *val;
647 	int err;
648 
649 	BUG_ON(target == victim);
650 
651 	if (!(target->node)) {
652 		/* target is empty, just copy fields over */
653 		target->node = victim->node;
654 		target->height = victim->height;
655 		__btree_init(victim);
656 		return 0;
657 	}
658 
659 	/* TODO: This needs some optimizations.  Currently we do three tree
660 	 * walks to remove a single object from the victim.
661 	 */
662 	for (;;) {
663 		if (!btree_last(victim, geo, key))
664 			break;
665 		val = btree_lookup(victim, geo, key);
666 		err = btree_insert(target, geo, key, val, gfp);
667 		if (err)
668 			return err;
669 		/* We must make a copy of the key, as the original will get
670 		 * mangled inside btree_remove. */
671 		longcpy(dup, key, geo->keylen);
672 		btree_remove(victim, geo, dup);
673 	}
674 	return 0;
675 }
676 EXPORT_SYMBOL_GPL(btree_merge);
677 
678 static size_t __btree_for_each(struct btree_head *head, struct btree_geo *geo,
679 			       unsigned long *node, unsigned long opaque,
680 			       void (*func)(void *elem, unsigned long opaque,
681 					    unsigned long *key, size_t index,
682 					    void *func2),
683 			       void *func2, int reap, int height, size_t count)
684 {
685 	int i;
686 	unsigned long *child;
687 
688 	for (i = 0; i < geo->no_pairs; i++) {
689 		child = bval(geo, node, i);
690 		if (!child)
691 			break;
692 		if (height > 1)
693 			count = __btree_for_each(head, geo, child, opaque,
694 					func, func2, reap, height - 1, count);
695 		else
696 			func(child, opaque, bkey(geo, node, i), count++,
697 					func2);
698 	}
699 	if (reap)
700 		mempool_free(node, head->mempool);
701 	return count;
702 }
703 
704 static void empty(void *elem, unsigned long opaque, unsigned long *key,
705 		  size_t index, void *func2)
706 {
707 }
708 
709 void visitorl(void *elem, unsigned long opaque, unsigned long *key,
710 	      size_t index, void *__func)
711 {
712 	visitorl_t func = __func;
713 
714 	func(elem, opaque, *key, index);
715 }
716 EXPORT_SYMBOL_GPL(visitorl);
717 
718 void visitor32(void *elem, unsigned long opaque, unsigned long *__key,
719 	       size_t index, void *__func)
720 {
721 	visitor32_t func = __func;
722 	u32 *key = (void *)__key;
723 
724 	func(elem, opaque, *key, index);
725 }
726 EXPORT_SYMBOL_GPL(visitor32);
727 
728 void visitor64(void *elem, unsigned long opaque, unsigned long *__key,
729 	       size_t index, void *__func)
730 {
731 	visitor64_t func = __func;
732 	u64 *key = (void *)__key;
733 
734 	func(elem, opaque, *key, index);
735 }
736 EXPORT_SYMBOL_GPL(visitor64);
737 
738 void visitor128(void *elem, unsigned long opaque, unsigned long *__key,
739 		size_t index, void *__func)
740 {
741 	visitor128_t func = __func;
742 	u64 *key = (void *)__key;
743 
744 	func(elem, opaque, key[0], key[1], index);
745 }
746 EXPORT_SYMBOL_GPL(visitor128);
747 
748 size_t btree_visitor(struct btree_head *head, struct btree_geo *geo,
749 		     unsigned long opaque,
750 		     void (*func)(void *elem, unsigned long opaque,
751 		     		  unsigned long *key,
752 		     		  size_t index, void *func2),
753 		     void *func2)
754 {
755 	size_t count = 0;
756 
757 	if (!func2)
758 		func = empty;
759 	if (head->node)
760 		count = __btree_for_each(head, geo, head->node, opaque, func,
761 				func2, 0, head->height, 0);
762 	return count;
763 }
764 EXPORT_SYMBOL_GPL(btree_visitor);
765 
766 size_t btree_grim_visitor(struct btree_head *head, struct btree_geo *geo,
767 			  unsigned long opaque,
768 			  void (*func)(void *elem, unsigned long opaque,
769 				       unsigned long *key,
770 				       size_t index, void *func2),
771 			  void *func2)
772 {
773 	size_t count = 0;
774 
775 	if (!func2)
776 		func = empty;
777 	if (head->node)
778 		count = __btree_for_each(head, geo, head->node, opaque, func,
779 				func2, 1, head->height, 0);
780 	__btree_init(head);
781 	return count;
782 }
783 EXPORT_SYMBOL_GPL(btree_grim_visitor);
784 
785 static int __init btree_module_init(void)
786 {
787 	btree_cachep = kmem_cache_create("btree_node", NODESIZE, 0,
788 			SLAB_HWCACHE_ALIGN, NULL);
789 	return 0;
790 }
791 
792 static void __exit btree_module_exit(void)
793 {
794 	kmem_cache_destroy(btree_cachep);
795 }
796 
797 /* If core code starts using btree, initialization should happen even earlier */
798 module_init(btree_module_init);
799 module_exit(btree_module_exit);
800 
801 MODULE_AUTHOR("Joern Engel <joern@logfs.org>");
802 MODULE_AUTHOR("Johannes Berg <johannes@sipsolutions.net>");
803 MODULE_LICENSE("GPL");
804