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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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 | /* * 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> #include <linux/device-mapper.h> #define DM_MSG_PREFIX "btree" /* * 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)); memmove(key_ptr(n, 0), key_ptr(n, shift), (nr_entries - shift) * sizeof(__le64)); memmove(value_ptr(n, 0), value_ptr(n, shift), (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_ptr(n, 0), nr_entries * value_size); } } static int 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); if (value_size != le32_to_cpu(right->header.value_size)) { DMERR("mismatched value size"); return -EILSEQ; } if (shift < 0) { shift = -shift; if (nr_left + shift > le32_to_cpu(left->header.max_entries)) { DMERR("bad shift"); return -EINVAL; } memcpy(key_ptr(left, nr_left), key_ptr(right, 0), shift * sizeof(__le64)); memcpy(value_ptr(left, nr_left), value_ptr(right, 0), shift * value_size); } else { if (shift > le32_to_cpu(right->header.max_entries)) { DMERR("bad shift"); return -EINVAL; } memcpy(key_ptr(right, 0), key_ptr(left, nr_left - shift), shift * sizeof(__le64)); memcpy(value_ptr(right, 0), value_ptr(left, nr_left - shift), shift * value_size); } return 0; } /* * Delete a specific entry from a leaf node. */ static void delete_at(struct btree_node *n, unsigned int index) { unsigned int nr_entries = le32_to_cpu(n->header.nr_entries); unsigned int 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_ptr(n, index + 1), nr_to_copy * value_size); } n->header.nr_entries = cpu_to_le32(nr_entries - 1); } static unsigned int merge_threshold(struct btree_node *n) { return le32_to_cpu(n->header.max_entries) / 3; } struct child { unsigned int 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 int 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)) = cpu_to_le64(dm_block_location(result->block)); return 0; } static void exit_child(struct dm_btree_info *info, struct child *c) { dm_tm_unlock(info->tm, c->block); } static int shift(struct btree_node *left, struct btree_node *right, int count) { int r; 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); if (max_entries != r_max_entries) { DMERR("node max_entries mismatch"); return -EILSEQ; } if (nr_left - count > max_entries) { DMERR("node shift out of bounds"); return -EINVAL; } if (nr_right + count > max_entries) { DMERR("node shift out of bounds"); return -EINVAL; } if (!count) return 0; if (count > 0) { node_shift(right, count); r = node_copy(left, right, count); if (r) return r; } else { r = node_copy(left, right, count); if (r) return r; node_shift(right, count); } left->header.nr_entries = cpu_to_le32(nr_left - count); right->header.nr_entries = cpu_to_le32(nr_right + count); return 0; } static int __rebalance2(struct dm_btree_info *info, struct btree_node *parent, struct child *l, struct child *r) { int ret; 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); /* * Ensure the number of entries in each child will be greater * than or equal to (max_entries / 3 + 1), so no matter which * child is used for removal, the number will still be not * less than (max_entries / 3). */ unsigned int 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 int target_left = (nr_left + nr_right) / 2; ret = shift(left, right, nr_left - target_left); if (ret) return ret; *key_ptr(parent, r->index) = right->keys[0]; } return 0; } static int rebalance2(struct shadow_spine *s, struct dm_btree_info *info, struct dm_btree_value_type *vt, unsigned int 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; } r = __rebalance2(info, parent, &left, &right); exit_child(info, &left); exit_child(info, &right); return r; } /* * 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 int 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 int shift = min(max_entries - nr_left, nr_center); if (nr_left + shift > max_entries) { DMERR("node shift out of bounds"); return -EINVAL; } node_copy(left, center, -shift); left->header.nr_entries = cpu_to_le32(nr_left + shift); if (shift != nr_center) { shift = nr_center - shift; if ((nr_right + shift) > max_entries) { DMERR("node shift out of bounds"); return -EINVAL; } 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)); return __rebalance2(info, parent, l, r); } /* * Redistributes entries among 3 sibling nodes. */ static int 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, ret; uint32_t max_entries = le32_to_cpu(left->header.max_entries); unsigned int total = nr_left + nr_center + nr_right; unsigned int target_right = total / 3; unsigned int remainder = (target_right * 3) != total; unsigned int target_left = target_right + remainder; BUG_ON(target_left > max_entries); BUG_ON(target_right > max_entries); if (nr_left < nr_right) { s = nr_left - target_left; if (s < 0 && nr_center < -s) { /* not enough in central node */ ret = shift(left, center, -nr_center); if (ret) return ret; s += nr_center; ret = shift(left, right, s); if (ret) return ret; nr_right += s; } else { ret = shift(left, center, s); if (ret) return ret; } ret = shift(center, right, target_right - nr_right); if (ret) return ret; } else { s = target_right - nr_right; if (s > 0 && nr_center < s) { /* not enough in central node */ ret = shift(center, right, nr_center); if (ret) return ret; s -= nr_center; ret = shift(left, right, s); if (ret) return ret; nr_left -= s; } else { ret = shift(center, right, s); if (ret) return ret; } ret = shift(left, center, nr_left - target_left); if (ret) return ret; } *key_ptr(parent, c->index) = center->keys[0]; *key_ptr(parent, r->index) = right->keys[0]; return 0; } static int __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 int threshold = merge_threshold(left) * 4 + 1; if ((left->header.max_entries != center->header.max_entries) || (center->header.max_entries != right->header.max_entries)) { DMERR("bad btree metadata, max_entries differ"); return -EILSEQ; } if ((nr_left + nr_center + nr_right) < threshold) { return delete_center_node(info, parent, l, c, r, left, center, right, nr_left, nr_center, nr_right); } return 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 int 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, ¢er); 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, ¢er); return r; } r = __rebalance3(info, parent, &left, ¢er, &right); exit_child(info, &left); exit_child(info, ¢er); exit_child(info, &right); return r; } 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; 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))); dm_tm_dec(info->tm, dm_block_location(child)); dm_tm_unlock(info->tm, child); return 0; } i = lower_bound(n, key); if (i < 0) return -ENODATA; 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 int *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 int *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), &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; } int dm_btree_remove(struct dm_btree_info *info, dm_block_t root, uint64_t *keys, dm_block_t *new_root) { unsigned int level, last_level = info->levels - 1; int index = 0, r = 0; struct shadow_spine spine; struct btree_node *n; struct dm_btree_value_type le64_vt; init_le64_type(info->tm, &le64_vt); init_shadow_spine(&spine, info); for (level = 0; level < info->levels; level++) { r = remove_raw(&spine, info, (level == last_level ? &info->value_type : &le64_vt), root, keys[level], (unsigned int *)&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), 1); delete_at(n, index); } if (!r) *new_root = shadow_root(&spine); exit_shadow_spine(&spine); return r; } EXPORT_SYMBOL_GPL(dm_btree_remove); /*----------------------------------------------------------------*/ static int remove_nearest(struct shadow_spine *s, struct dm_btree_info *info, struct dm_btree_value_type *vt, dm_block_t root, uint64_t key, int *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), &location, sizeof(__le64)); } n = dm_block_data(shadow_current(s)); if (le32_to_cpu(n->header.flags) & LEAF_NODE) { *index = lower_bound(n, key); return 0; } 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) { *index = lower_bound(n, key); return 0; } 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 int remove_one(struct dm_btree_info *info, dm_block_t root, uint64_t *keys, uint64_t end_key, dm_block_t *new_root, unsigned int *nr_removed) { unsigned int level, last_level = info->levels - 1; int index = 0, r = 0; struct shadow_spine spine; struct btree_node *n; struct dm_btree_value_type le64_vt; uint64_t k; init_le64_type(info->tm, &le64_vt); init_shadow_spine(&spine, info); for (level = 0; level < last_level; level++) { r = remove_raw(&spine, info, &le64_vt, root, keys[level], (unsigned int *) &index); if (r < 0) goto out; n = dm_block_data(shadow_current(&spine)); root = value64(n, index); } r = remove_nearest(&spine, info, &info->value_type, root, keys[last_level], &index); if (r < 0) goto out; n = dm_block_data(shadow_current(&spine)); if (index < 0) index = 0; if (index >= le32_to_cpu(n->header.nr_entries)) { r = -ENODATA; goto out; } k = le64_to_cpu(n->keys[index]); if (k >= keys[last_level] && k < end_key) { if (info->value_type.dec) info->value_type.dec(info->value_type.context, value_ptr(n, index), 1); delete_at(n, index); keys[last_level] = k + 1ull; } else r = -ENODATA; out: *new_root = shadow_root(&spine); exit_shadow_spine(&spine); return r; } int dm_btree_remove_leaves(struct dm_btree_info *info, dm_block_t root, uint64_t *first_key, uint64_t end_key, dm_block_t *new_root, unsigned int *nr_removed) { int r; *nr_removed = 0; do { r = remove_one(info, root, first_key, end_key, &root, nr_removed); if (!r) (*nr_removed)++; } while (!r); *new_root = root; return r == -ENODATA ? 0 : r; } EXPORT_SYMBOL_GPL(dm_btree_remove_leaves); |