Linux Audio

Check our new training course

Embedded Linux Audio

Check our new training course
with Creative Commons CC-BY-SA
lecture materials

Bootlin logo

Elixir Cross Referencer

Loading...
  1
  2
  3
  4
  5
  6
  7
  8
  9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 66
 67
 68
 69
 70
 71
 72
 73
 74
 75
 76
 77
 78
 79
 80
 81
 82
 83
 84
 85
 86
 87
 88
 89
 90
 91
 92
 93
 94
 95
 96
 97
 98
 99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
/*
 * Copyright (C) 2011 Red Hat, Inc.
 *
 * This file is released under the GPL.
 */

#include "dm-btree.h"
#include "dm-btree-internal.h"
#include "dm-transaction-manager.h"

#include <linux/export.h>

/*
 * Removing an entry from a btree
 * ==============================
 *
 * A very important constraint for our btree is that no node, except the
 * root, may have fewer than a certain number of entries.
 * (MIN_ENTRIES <= nr_entries <= MAX_ENTRIES).
 *
 * Ensuring this is complicated by the way we want to only ever hold the
 * locks on 2 nodes concurrently, and only change nodes in a top to bottom
 * fashion.
 *
 * Each node may have a left or right sibling.  When decending the spine,
 * if a node contains only MIN_ENTRIES then we try and increase this to at
 * least MIN_ENTRIES + 1.  We do this in the following ways:
 *
 * [A] No siblings => this can only happen if the node is the root, in which
 *     case we copy the childs contents over the root.
 *
 * [B] No left sibling
 *     ==> rebalance(node, right sibling)
 *
 * [C] No right sibling
 *     ==> rebalance(left sibling, node)
 *
 * [D] Both siblings, total_entries(left, node, right) <= DEL_THRESHOLD
 *     ==> delete node adding it's contents to left and right
 *
 * [E] Both siblings, total_entries(left, node, right) > DEL_THRESHOLD
 *     ==> rebalance(left, node, right)
 *
 * After these operations it's possible that the our original node no
 * longer contains the desired sub tree.  For this reason this rebalancing
 * is performed on the children of the current node.  This also avoids
 * having a special case for the root.
 *
 * Once this rebalancing has occurred we can then step into the child node
 * for internal nodes.  Or delete the entry for leaf nodes.
 */

/*
 * Some little utilities for moving node data around.
 */
static void node_shift(struct btree_node *n, int shift)
{
	uint32_t nr_entries = le32_to_cpu(n->header.nr_entries);
	uint32_t value_size = le32_to_cpu(n->header.value_size);

	if (shift < 0) {
		shift = -shift;
		BUG_ON(shift > nr_entries);
		BUG_ON((void *) key_ptr(n, shift) >= value_ptr(n, shift, value_size));
		memmove(key_ptr(n, 0),
			key_ptr(n, shift),
			(nr_entries - shift) * sizeof(__le64));
		memmove(value_ptr(n, 0, value_size),
			value_ptr(n, shift, value_size),
			(nr_entries - shift) * value_size);
	} else {
		BUG_ON(nr_entries + shift > le32_to_cpu(n->header.max_entries));
		memmove(key_ptr(n, shift),
			key_ptr(n, 0),
			nr_entries * sizeof(__le64));
		memmove(value_ptr(n, shift, value_size),
			value_ptr(n, 0, value_size),
			nr_entries * value_size);
	}
}

static void node_copy(struct btree_node *left, struct btree_node *right, int shift)
{
	uint32_t nr_left = le32_to_cpu(left->header.nr_entries);
	uint32_t value_size = le32_to_cpu(left->header.value_size);
	BUG_ON(value_size != le32_to_cpu(right->header.value_size));

	if (shift < 0) {
		shift = -shift;
		BUG_ON(nr_left + shift > le32_to_cpu(left->header.max_entries));
		memcpy(key_ptr(left, nr_left),
		       key_ptr(right, 0),
		       shift * sizeof(__le64));
		memcpy(value_ptr(left, nr_left, value_size),
		       value_ptr(right, 0, value_size),
		       shift * value_size);
	} else {
		BUG_ON(shift > le32_to_cpu(right->header.max_entries));
		memcpy(key_ptr(right, 0),
		       key_ptr(left, nr_left - shift),
		       shift * sizeof(__le64));
		memcpy(value_ptr(right, 0, value_size),
		       value_ptr(left, nr_left - shift, value_size),
		       shift * value_size);
	}
}

/*
 * Delete a specific entry from a leaf node.
 */
static void delete_at(struct btree_node *n, unsigned index)
{
	unsigned nr_entries = le32_to_cpu(n->header.nr_entries);
	unsigned nr_to_copy = nr_entries - (index + 1);
	uint32_t value_size = le32_to_cpu(n->header.value_size);
	BUG_ON(index >= nr_entries);

	if (nr_to_copy) {
		memmove(key_ptr(n, index),
			key_ptr(n, index + 1),
			nr_to_copy * sizeof(__le64));

		memmove(value_ptr(n, index, value_size),
			value_ptr(n, index + 1, value_size),
			nr_to_copy * value_size);
	}

	n->header.nr_entries = cpu_to_le32(nr_entries - 1);
}

static unsigned merge_threshold(struct btree_node *n)
{
	return le32_to_cpu(n->header.max_entries) / 3;
}

struct child {
	unsigned index;
	struct dm_block *block;
	struct btree_node *n;
};

static int init_child(struct dm_btree_info *info, struct dm_btree_value_type *vt,
		      struct btree_node *parent,
		      unsigned index, struct child *result)
{
	int r, inc;
	dm_block_t root;

	result->index = index;
	root = value64(parent, index);

	r = dm_tm_shadow_block(info->tm, root, &btree_node_validator,
			       &result->block, &inc);
	if (r)
		return r;

	result->n = dm_block_data(result->block);

	if (inc)
		inc_children(info->tm, result->n, vt);

	*((__le64 *) value_ptr(parent, index, sizeof(__le64))) =
		cpu_to_le64(dm_block_location(result->block));

	return 0;
}

static int exit_child(struct dm_btree_info *info, struct child *c)
{
	return dm_tm_unlock(info->tm, c->block);
}

static void shift(struct btree_node *left, struct btree_node *right, int count)
{
	uint32_t nr_left = le32_to_cpu(left->header.nr_entries);
	uint32_t nr_right = le32_to_cpu(right->header.nr_entries);
	uint32_t max_entries = le32_to_cpu(left->header.max_entries);
	uint32_t r_max_entries = le32_to_cpu(right->header.max_entries);

	BUG_ON(max_entries != r_max_entries);
	BUG_ON(nr_left - count > max_entries);
	BUG_ON(nr_right + count > max_entries);

	if (!count)
		return;

	if (count > 0) {
		node_shift(right, count);
		node_copy(left, right, count);
	} else {
		node_copy(left, right, count);
		node_shift(right, count);
	}

	left->header.nr_entries = cpu_to_le32(nr_left - count);
	right->header.nr_entries = cpu_to_le32(nr_right + count);
}

static void __rebalance2(struct dm_btree_info *info, struct btree_node *parent,
			 struct child *l, struct child *r)
{
	struct btree_node *left = l->n;
	struct btree_node *right = r->n;
	uint32_t nr_left = le32_to_cpu(left->header.nr_entries);
	uint32_t nr_right = le32_to_cpu(right->header.nr_entries);
	unsigned threshold = 2 * merge_threshold(left) + 1;

	if (nr_left + nr_right < threshold) {
		/*
		 * Merge
		 */
		node_copy(left, right, -nr_right);
		left->header.nr_entries = cpu_to_le32(nr_left + nr_right);
		delete_at(parent, r->index);

		/*
		 * We need to decrement the right block, but not it's
		 * children, since they're still referenced by left.
		 */
		dm_tm_dec(info->tm, dm_block_location(r->block));
	} else {
		/*
		 * Rebalance.
		 */
		unsigned target_left = (nr_left + nr_right) / 2;
		shift(left, right, nr_left - target_left);
		*key_ptr(parent, r->index) = right->keys[0];
	}
}

static int rebalance2(struct shadow_spine *s, struct dm_btree_info *info,
		      struct dm_btree_value_type *vt, unsigned left_index)
{
	int r;
	struct btree_node *parent;
	struct child left, right;

	parent = dm_block_data(shadow_current(s));

	r = init_child(info, vt, parent, left_index, &left);
	if (r)
		return r;

	r = init_child(info, vt, parent, left_index + 1, &right);
	if (r) {
		exit_child(info, &left);
		return r;
	}

	__rebalance2(info, parent, &left, &right);

	r = exit_child(info, &left);
	if (r) {
		exit_child(info, &right);
		return r;
	}

	return exit_child(info, &right);
}

/*
 * We dump as many entries from center as possible into left, then the rest
 * in right, then rebalance2.  This wastes some cpu, but I want something
 * simple atm.
 */
static void delete_center_node(struct dm_btree_info *info, struct btree_node *parent,
			       struct child *l, struct child *c, struct child *r,
			       struct btree_node *left, struct btree_node *center, struct btree_node *right,
			       uint32_t nr_left, uint32_t nr_center, uint32_t nr_right)
{
	uint32_t max_entries = le32_to_cpu(left->header.max_entries);
	unsigned shift = min(max_entries - nr_left, nr_center);

	BUG_ON(nr_left + shift > max_entries);
	node_copy(left, center, -shift);
	left->header.nr_entries = cpu_to_le32(nr_left + shift);

	if (shift != nr_center) {
		shift = nr_center - shift;
		BUG_ON((nr_right + shift) > max_entries);
		node_shift(right, shift);
		node_copy(center, right, shift);
		right->header.nr_entries = cpu_to_le32(nr_right + shift);
	}
	*key_ptr(parent, r->index) = right->keys[0];

	delete_at(parent, c->index);
	r->index--;

	dm_tm_dec(info->tm, dm_block_location(c->block));
	__rebalance2(info, parent, l, r);
}

/*
 * Redistributes entries among 3 sibling nodes.
 */
static void redistribute3(struct dm_btree_info *info, struct btree_node *parent,
			  struct child *l, struct child *c, struct child *r,
			  struct btree_node *left, struct btree_node *center, struct btree_node *right,
			  uint32_t nr_left, uint32_t nr_center, uint32_t nr_right)
{
	int s;
	uint32_t max_entries = le32_to_cpu(left->header.max_entries);
	unsigned target = (nr_left + nr_center + nr_right) / 3;
	BUG_ON(target > max_entries);

	if (nr_left < nr_right) {
		s = nr_left - target;

		if (s < 0 && nr_center < -s) {
			/* not enough in central node */
			shift(left, center, -nr_center);
			s += nr_center;
			shift(left, right, s);
			nr_right += s;
		} else
			shift(left, center, s);

		shift(center, right, target - nr_right);

	} else {
		s = target - nr_right;
		if (s > 0 && nr_center < s) {
			/* not enough in central node */
			shift(center, right, nr_center);
			s -= nr_center;
			shift(left, right, s);
			nr_left -= s;
		} else
			shift(center, right, s);

		shift(left, center, nr_left - target);
	}

	*key_ptr(parent, c->index) = center->keys[0];
	*key_ptr(parent, r->index) = right->keys[0];
}

static void __rebalance3(struct dm_btree_info *info, struct btree_node *parent,
			 struct child *l, struct child *c, struct child *r)
{
	struct btree_node *left = l->n;
	struct btree_node *center = c->n;
	struct btree_node *right = r->n;

	uint32_t nr_left = le32_to_cpu(left->header.nr_entries);
	uint32_t nr_center = le32_to_cpu(center->header.nr_entries);
	uint32_t nr_right = le32_to_cpu(right->header.nr_entries);

	unsigned threshold = merge_threshold(left) * 4 + 1;

	BUG_ON(left->header.max_entries != center->header.max_entries);
	BUG_ON(center->header.max_entries != right->header.max_entries);

	if ((nr_left + nr_center + nr_right) < threshold)
		delete_center_node(info, parent, l, c, r, left, center, right,
				   nr_left, nr_center, nr_right);
	else
		redistribute3(info, parent, l, c, r, left, center, right,
			      nr_left, nr_center, nr_right);
}

static int rebalance3(struct shadow_spine *s, struct dm_btree_info *info,
		      struct dm_btree_value_type *vt, unsigned left_index)
{
	int r;
	struct btree_node *parent = dm_block_data(shadow_current(s));
	struct child left, center, right;

	/*
	 * FIXME: fill out an array?
	 */
	r = init_child(info, vt, parent, left_index, &left);
	if (r)
		return r;

	r = init_child(info, vt, parent, left_index + 1, &center);
	if (r) {
		exit_child(info, &left);
		return r;
	}

	r = init_child(info, vt, parent, left_index + 2, &right);
	if (r) {
		exit_child(info, &left);
		exit_child(info, &center);
		return r;
	}

	__rebalance3(info, parent, &left, &center, &right);

	r = exit_child(info, &left);
	if (r) {
		exit_child(info, &center);
		exit_child(info, &right);
		return r;
	}

	r = exit_child(info, &center);
	if (r) {
		exit_child(info, &right);
		return r;
	}

	r = exit_child(info, &right);
	if (r)
		return r;

	return 0;
}

static int get_nr_entries(struct dm_transaction_manager *tm,
			  dm_block_t b, uint32_t *result)
{
	int r;
	struct dm_block *block;
	struct btree_node *n;

	r = dm_tm_read_lock(tm, b, &btree_node_validator, &block);
	if (r)
		return r;

	n = dm_block_data(block);
	*result = le32_to_cpu(n->header.nr_entries);

	return dm_tm_unlock(tm, block);
}

static int rebalance_children(struct shadow_spine *s,
			      struct dm_btree_info *info,
			      struct dm_btree_value_type *vt, uint64_t key)
{
	int i, r, has_left_sibling, has_right_sibling;
	uint32_t child_entries;
	struct btree_node *n;

	n = dm_block_data(shadow_current(s));

	if (le32_to_cpu(n->header.nr_entries) == 1) {
		struct dm_block *child;
		dm_block_t b = value64(n, 0);

		r = dm_tm_read_lock(info->tm, b, &btree_node_validator, &child);
		if (r)
			return r;

		memcpy(n, dm_block_data(child),
		       dm_bm_block_size(dm_tm_get_bm(info->tm)));
		r = dm_tm_unlock(info->tm, child);
		if (r)
			return r;

		dm_tm_dec(info->tm, dm_block_location(child));
		return 0;
	}

	i = lower_bound(n, key);
	if (i < 0)
		return -ENODATA;

	r = get_nr_entries(info->tm, value64(n, i), &child_entries);
	if (r)
		return r;

	has_left_sibling = i > 0;
	has_right_sibling = i < (le32_to_cpu(n->header.nr_entries) - 1);

	if (!has_left_sibling)
		r = rebalance2(s, info, vt, i);

	else if (!has_right_sibling)
		r = rebalance2(s, info, vt, i - 1);

	else
		r = rebalance3(s, info, vt, i - 1);

	return r;
}

static int do_leaf(struct btree_node *n, uint64_t key, unsigned *index)
{
	int i = lower_bound(n, key);

	if ((i < 0) ||
	    (i >= le32_to_cpu(n->header.nr_entries)) ||
	    (le64_to_cpu(n->keys[i]) != key))
		return -ENODATA;

	*index = i;

	return 0;
}

/*
 * Prepares for removal from one level of the hierarchy.  The caller must
 * call delete_at() to remove the entry at index.
 */
static int remove_raw(struct shadow_spine *s, struct dm_btree_info *info,
		      struct dm_btree_value_type *vt, dm_block_t root,
		      uint64_t key, unsigned *index)
{
	int i = *index, r;
	struct btree_node *n;

	for (;;) {
		r = shadow_step(s, root, vt);
		if (r < 0)
			break;

		/*
		 * We have to patch up the parent node, ugly, but I don't
		 * see a way to do this automatically as part of the spine
		 * op.
		 */
		if (shadow_has_parent(s)) {
			__le64 location = cpu_to_le64(dm_block_location(shadow_current(s)));
			memcpy(value_ptr(dm_block_data(shadow_parent(s)), i, sizeof(__le64)),
			       &location, sizeof(__le64));
		}

		n = dm_block_data(shadow_current(s));

		if (le32_to_cpu(n->header.flags) & LEAF_NODE)
			return do_leaf(n, key, index);

		r = rebalance_children(s, info, vt, key);
		if (r)
			break;

		n = dm_block_data(shadow_current(s));
		if (le32_to_cpu(n->header.flags) & LEAF_NODE)
			return do_leaf(n, key, index);

		i = lower_bound(n, key);

		/*
		 * We know the key is present, or else
		 * rebalance_children would have returned
		 * -ENODATA
		 */
		root = value64(n, i);
	}

	return r;
}

static struct dm_btree_value_type le64_type = {
	.context = NULL,
	.size = sizeof(__le64),
	.inc = NULL,
	.dec = NULL,
	.equal = NULL
};

int dm_btree_remove(struct dm_btree_info *info, dm_block_t root,
		    uint64_t *keys, dm_block_t *new_root)
{
	unsigned level, last_level = info->levels - 1;
	int index = 0, r = 0;
	struct shadow_spine spine;
	struct btree_node *n;

	init_shadow_spine(&spine, info);
	for (level = 0; level < info->levels; level++) {
		r = remove_raw(&spine, info,
			       (level == last_level ?
				&info->value_type : &le64_type),
			       root, keys[level], (unsigned *)&index);
		if (r < 0)
			break;

		n = dm_block_data(shadow_current(&spine));
		if (level != last_level) {
			root = value64(n, index);
			continue;
		}

		BUG_ON(index < 0 || index >= le32_to_cpu(n->header.nr_entries));

		if (info->value_type.dec)
			info->value_type.dec(info->value_type.context,
					     value_ptr(n, index, info->value_type.size));

		delete_at(n, index);
	}

	*new_root = shadow_root(&spine);
	exit_shadow_spine(&spine);

	return r;
}
EXPORT_SYMBOL_GPL(dm_btree_remove);