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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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 | #ifdef __KERNEL__ # include <linux/string.h> # include <linux/slab.h> # include <linux/bug.h> # include <linux/kernel.h> # ifndef dprintk # define dprintk(args...) # endif #else # include <string.h> # include <stdio.h> # include <stdlib.h> # include <assert.h> # define BUG_ON(x) assert(!(x)) # define dprintk(args...) /* printf(args) */ # define kmalloc(x, f) malloc(x) # define kfree(x) free(x) #endif #include <linux/crush/crush.h> #include <linux/crush/hash.h> #include <linux/crush/mapper.h> /* * Implement the core CRUSH mapping algorithm. */ /** * crush_find_rule - find a crush_rule id for a given ruleset, type, and size. * @map: the crush_map * @ruleset: the storage ruleset id (user defined) * @type: storage ruleset type (user defined) * @size: output set size */ int crush_find_rule(const struct crush_map *map, int ruleset, int type, int size) { __u32 i; for (i = 0; i < map->max_rules; i++) { if (map->rules[i] && map->rules[i]->mask.ruleset == ruleset && map->rules[i]->mask.type == type && map->rules[i]->mask.min_size <= size && map->rules[i]->mask.max_size >= size) return i; } return -1; } /* * bucket choose methods * * For each bucket algorithm, we have a "choose" method that, given a * crush input @x and replica position (usually, position in output set) @r, * will produce an item in the bucket. */ /* * Choose based on a random permutation of the bucket. * * We used to use some prime number arithmetic to do this, but it * wasn't very random, and had some other bad behaviors. Instead, we * calculate an actual random permutation of the bucket members. * Since this is expensive, we optimize for the r=0 case, which * captures the vast majority of calls. */ static int bucket_perm_choose(struct crush_bucket *bucket, int x, int r) { unsigned int pr = r % bucket->size; unsigned int i, s; /* start a new permutation if @x has changed */ if (bucket->perm_x != (__u32)x || bucket->perm_n == 0) { dprintk("bucket %d new x=%d\n", bucket->id, x); bucket->perm_x = x; /* optimize common r=0 case */ if (pr == 0) { s = crush_hash32_3(bucket->hash, x, bucket->id, 0) % bucket->size; bucket->perm[0] = s; bucket->perm_n = 0xffff; /* magic value, see below */ goto out; } for (i = 0; i < bucket->size; i++) bucket->perm[i] = i; bucket->perm_n = 0; } else if (bucket->perm_n == 0xffff) { /* clean up after the r=0 case above */ for (i = 1; i < bucket->size; i++) bucket->perm[i] = i; bucket->perm[bucket->perm[0]] = 0; bucket->perm_n = 1; } /* calculate permutation up to pr */ for (i = 0; i < bucket->perm_n; i++) dprintk(" perm_choose have %d: %d\n", i, bucket->perm[i]); while (bucket->perm_n <= pr) { unsigned int p = bucket->perm_n; /* no point in swapping the final entry */ if (p < bucket->size - 1) { i = crush_hash32_3(bucket->hash, x, bucket->id, p) % (bucket->size - p); if (i) { unsigned int t = bucket->perm[p + i]; bucket->perm[p + i] = bucket->perm[p]; bucket->perm[p] = t; } dprintk(" perm_choose swap %d with %d\n", p, p+i); } bucket->perm_n++; } for (i = 0; i < bucket->size; i++) dprintk(" perm_choose %d: %d\n", i, bucket->perm[i]); s = bucket->perm[pr]; out: dprintk(" perm_choose %d sz=%d x=%d r=%d (%d) s=%d\n", bucket->id, bucket->size, x, r, pr, s); return bucket->items[s]; } /* uniform */ static int bucket_uniform_choose(struct crush_bucket_uniform *bucket, int x, int r) { return bucket_perm_choose(&bucket->h, x, r); } /* list */ static int bucket_list_choose(struct crush_bucket_list *bucket, int x, int r) { int i; for (i = bucket->h.size-1; i >= 0; i--) { __u64 w = crush_hash32_4(bucket->h.hash,x, bucket->h.items[i], r, bucket->h.id); w &= 0xffff; dprintk("list_choose i=%d x=%d r=%d item %d weight %x " "sw %x rand %llx", i, x, r, bucket->h.items[i], bucket->item_weights[i], bucket->sum_weights[i], w); w *= bucket->sum_weights[i]; w = w >> 16; /*dprintk(" scaled %llx\n", w);*/ if (w < bucket->item_weights[i]) return bucket->h.items[i]; } dprintk("bad list sums for bucket %d\n", bucket->h.id); return bucket->h.items[0]; } /* (binary) tree */ static int height(int n) { int h = 0; while ((n & 1) == 0) { h++; n = n >> 1; } return h; } static int left(int x) { int h = height(x); return x - (1 << (h-1)); } static int right(int x) { int h = height(x); return x + (1 << (h-1)); } static int terminal(int x) { return x & 1; } static int bucket_tree_choose(struct crush_bucket_tree *bucket, int x, int r) { int n; __u32 w; __u64 t; /* start at root */ n = bucket->num_nodes >> 1; while (!terminal(n)) { int l; /* pick point in [0, w) */ w = bucket->node_weights[n]; t = (__u64)crush_hash32_4(bucket->h.hash, x, n, r, bucket->h.id) * (__u64)w; t = t >> 32; /* descend to the left or right? */ l = left(n); if (t < bucket->node_weights[l]) n = l; else n = right(n); } return bucket->h.items[n >> 1]; } /* straw */ static int bucket_straw_choose(struct crush_bucket_straw *bucket, int x, int r) { __u32 i; int high = 0; __u64 high_draw = 0; __u64 draw; for (i = 0; i < bucket->h.size; i++) { draw = crush_hash32_3(bucket->h.hash, x, bucket->h.items[i], r); draw &= 0xffff; draw *= bucket->straws[i]; if (i == 0 || draw > high_draw) { high = i; high_draw = draw; } } return bucket->h.items[high]; } static int crush_bucket_choose(struct crush_bucket *in, int x, int r) { dprintk(" crush_bucket_choose %d x=%d r=%d\n", in->id, x, r); BUG_ON(in->size == 0); switch (in->alg) { case CRUSH_BUCKET_UNIFORM: return bucket_uniform_choose((struct crush_bucket_uniform *)in, x, r); case CRUSH_BUCKET_LIST: return bucket_list_choose((struct crush_bucket_list *)in, x, r); case CRUSH_BUCKET_TREE: return bucket_tree_choose((struct crush_bucket_tree *)in, x, r); case CRUSH_BUCKET_STRAW: return bucket_straw_choose((struct crush_bucket_straw *)in, x, r); default: dprintk("unknown bucket %d alg %d\n", in->id, in->alg); return in->items[0]; } } /* * true if device is marked "out" (failed, fully offloaded) * of the cluster */ static int is_out(const struct crush_map *map, const __u32 *weight, int weight_max, int item, int x) { if (item >= weight_max) return 1; if (weight[item] >= 0x10000) return 0; if (weight[item] == 0) return 1; if ((crush_hash32_2(CRUSH_HASH_RJENKINS1, x, item) & 0xffff) < weight[item]) return 0; return 1; } /** * crush_choose_firstn - choose numrep distinct items of given type * @map: the crush_map * @bucket: the bucket we are choose an item from * @x: crush input value * @numrep: the number of items to choose * @type: the type of item to choose * @out: pointer to output vector * @outpos: our position in that vector * @tries: number of attempts to make * @recurse_tries: number of attempts to have recursive chooseleaf make * @local_retries: localized retries * @local_fallback_retries: localized fallback retries * @recurse_to_leaf: true if we want one device under each item of given type (chooseleaf instead of choose) * @vary_r: pass r to recursive calls * @out2: second output vector for leaf items (if @recurse_to_leaf) * @parent_r: r value passed from the parent */ static int crush_choose_firstn(const struct crush_map *map, struct crush_bucket *bucket, const __u32 *weight, int weight_max, int x, int numrep, int type, int *out, int outpos, unsigned int tries, unsigned int recurse_tries, unsigned int local_retries, unsigned int local_fallback_retries, int recurse_to_leaf, unsigned int vary_r, int *out2, int parent_r) { int rep; unsigned int ftotal, flocal; int retry_descent, retry_bucket, skip_rep; struct crush_bucket *in = bucket; int r; int i; int item = 0; int itemtype; int collide, reject; dprintk("CHOOSE%s bucket %d x %d outpos %d numrep %d tries %d recurse_tries %d local_retries %d local_fallback_retries %d parent_r %d\n", recurse_to_leaf ? "_LEAF" : "", bucket->id, x, outpos, numrep, tries, recurse_tries, local_retries, local_fallback_retries, parent_r); for (rep = outpos; rep < numrep; rep++) { /* keep trying until we get a non-out, non-colliding item */ ftotal = 0; skip_rep = 0; do { retry_descent = 0; in = bucket; /* initial bucket */ /* choose through intervening buckets */ flocal = 0; do { collide = 0; retry_bucket = 0; r = rep + parent_r; /* r' = r + f_total */ r += ftotal; /* bucket choose */ if (in->size == 0) { reject = 1; goto reject; } if (local_fallback_retries > 0 && flocal >= (in->size>>1) && flocal > local_fallback_retries) item = bucket_perm_choose(in, x, r); else item = crush_bucket_choose(in, x, r); if (item >= map->max_devices) { dprintk(" bad item %d\n", item); skip_rep = 1; break; } /* desired type? */ if (item < 0) itemtype = map->buckets[-1-item]->type; else itemtype = 0; dprintk(" item %d type %d\n", item, itemtype); /* keep going? */ if (itemtype != type) { if (item >= 0 || (-1-item) >= map->max_buckets) { dprintk(" bad item type %d\n", type); skip_rep = 1; break; } in = map->buckets[-1-item]; retry_bucket = 1; continue; } /* collision? */ for (i = 0; i < outpos; i++) { if (out[i] == item) { collide = 1; break; } } reject = 0; if (!collide && recurse_to_leaf) { if (item < 0) { int sub_r; if (vary_r) sub_r = r >> (vary_r-1); else sub_r = 0; if (crush_choose_firstn(map, map->buckets[-1-item], weight, weight_max, x, outpos+1, 0, out2, outpos, recurse_tries, 0, local_retries, local_fallback_retries, 0, vary_r, NULL, sub_r) <= outpos) /* didn't get leaf */ reject = 1; } else { /* we already have a leaf! */ out2[outpos] = item; } } if (!reject) { /* out? */ if (itemtype == 0) reject = is_out(map, weight, weight_max, item, x); else reject = 0; } reject: if (reject || collide) { ftotal++; flocal++; if (collide && flocal <= local_retries) /* retry locally a few times */ retry_bucket = 1; else if (local_fallback_retries > 0 && flocal <= in->size + local_fallback_retries) /* exhaustive bucket search */ retry_bucket = 1; else if (ftotal < tries) /* then retry descent */ retry_descent = 1; else /* else give up */ skip_rep = 1; dprintk(" reject %d collide %d " "ftotal %u flocal %u\n", reject, collide, ftotal, flocal); } } while (retry_bucket); } while (retry_descent); if (skip_rep) { dprintk("skip rep\n"); continue; } dprintk("CHOOSE got %d\n", item); out[outpos] = item; outpos++; } dprintk("CHOOSE returns %d\n", outpos); return outpos; } /** * crush_choose_indep: alternative breadth-first positionally stable mapping * */ static void crush_choose_indep(const struct crush_map *map, struct crush_bucket *bucket, const __u32 *weight, int weight_max, int x, int left, int numrep, int type, int *out, int outpos, unsigned int tries, unsigned int recurse_tries, int recurse_to_leaf, int *out2, int parent_r) { struct crush_bucket *in = bucket; int endpos = outpos + left; int rep; unsigned int ftotal; int r; int i; int item = 0; int itemtype; int collide; dprintk("CHOOSE%s INDEP bucket %d x %d outpos %d numrep %d\n", recurse_to_leaf ? "_LEAF" : "", bucket->id, x, outpos, numrep); /* initially my result is undefined */ for (rep = outpos; rep < endpos; rep++) { out[rep] = CRUSH_ITEM_UNDEF; if (out2) out2[rep] = CRUSH_ITEM_UNDEF; } for (ftotal = 0; left > 0 && ftotal < tries; ftotal++) { for (rep = outpos; rep < endpos; rep++) { if (out[rep] != CRUSH_ITEM_UNDEF) continue; in = bucket; /* initial bucket */ /* choose through intervening buckets */ for (;;) { /* note: we base the choice on the position * even in the nested call. that means that * if the first layer chooses the same bucket * in a different position, we will tend to * choose a different item in that bucket. * this will involve more devices in data * movement and tend to distribute the load. */ r = rep + parent_r; /* be careful */ if (in->alg == CRUSH_BUCKET_UNIFORM && in->size % numrep == 0) /* r'=r+(n+1)*f_total */ r += (numrep+1) * ftotal; else /* r' = r + n*f_total */ r += numrep * ftotal; /* bucket choose */ if (in->size == 0) { dprintk(" empty bucket\n"); break; } item = crush_bucket_choose(in, x, r); if (item >= map->max_devices) { dprintk(" bad item %d\n", item); out[rep] = CRUSH_ITEM_NONE; if (out2) out2[rep] = CRUSH_ITEM_NONE; left--; break; } /* desired type? */ if (item < 0) itemtype = map->buckets[-1-item]->type; else itemtype = 0; dprintk(" item %d type %d\n", item, itemtype); /* keep going? */ if (itemtype != type) { if (item >= 0 || (-1-item) >= map->max_buckets) { dprintk(" bad item type %d\n", type); out[rep] = CRUSH_ITEM_NONE; if (out2) out2[rep] = CRUSH_ITEM_NONE; left--; break; } in = map->buckets[-1-item]; continue; } /* collision? */ collide = 0; for (i = outpos; i < endpos; i++) { if (out[i] == item) { collide = 1; break; } } if (collide) break; if (recurse_to_leaf) { if (item < 0) { crush_choose_indep(map, map->buckets[-1-item], weight, weight_max, x, 1, numrep, 0, out2, rep, recurse_tries, 0, 0, NULL, r); if (out2[rep] == CRUSH_ITEM_NONE) { /* placed nothing; no leaf */ break; } } else { /* we already have a leaf! */ out2[rep] = item; } } /* out? */ if (itemtype == 0 && is_out(map, weight, weight_max, item, x)) break; /* yay! */ out[rep] = item; left--; break; } } } for (rep = outpos; rep < endpos; rep++) { if (out[rep] == CRUSH_ITEM_UNDEF) { out[rep] = CRUSH_ITEM_NONE; } if (out2 && out2[rep] == CRUSH_ITEM_UNDEF) { out2[rep] = CRUSH_ITEM_NONE; } } } /** * crush_do_rule - calculate a mapping with the given input and rule * @map: the crush_map * @ruleno: the rule id * @x: hash input * @result: pointer to result vector * @result_max: maximum result size * @weight: weight vector (for map leaves) * @weight_max: size of weight vector * @scratch: scratch vector for private use; must be >= 3 * result_max */ int crush_do_rule(const struct crush_map *map, int ruleno, int x, int *result, int result_max, const __u32 *weight, int weight_max, int *scratch) { int result_len; int *a = scratch; int *b = scratch + result_max; int *c = scratch + result_max*2; int recurse_to_leaf; int *w; int wsize = 0; int *o; int osize; int *tmp; struct crush_rule *rule; __u32 step; int i, j; int numrep; /* * the original choose_total_tries value was off by one (it * counted "retries" and not "tries"). add one. */ int choose_tries = map->choose_total_tries + 1; int choose_leaf_tries = 0; /* * the local tries values were counted as "retries", though, * and need no adjustment */ int choose_local_retries = map->choose_local_tries; int choose_local_fallback_retries = map->choose_local_fallback_tries; int vary_r = map->chooseleaf_vary_r; if ((__u32)ruleno >= map->max_rules) { dprintk(" bad ruleno %d\n", ruleno); return 0; } rule = map->rules[ruleno]; result_len = 0; w = a; o = b; for (step = 0; step < rule->len; step++) { int firstn = 0; struct crush_rule_step *curstep = &rule->steps[step]; switch (curstep->op) { case CRUSH_RULE_TAKE: w[0] = curstep->arg1; wsize = 1; break; case CRUSH_RULE_SET_CHOOSE_TRIES: if (curstep->arg1 > 0) choose_tries = curstep->arg1; break; case CRUSH_RULE_SET_CHOOSELEAF_TRIES: if (curstep->arg1 > 0) choose_leaf_tries = curstep->arg1; break; case CRUSH_RULE_SET_CHOOSE_LOCAL_TRIES: if (curstep->arg1 >= 0) choose_local_retries = curstep->arg1; break; case CRUSH_RULE_SET_CHOOSE_LOCAL_FALLBACK_TRIES: if (curstep->arg1 >= 0) choose_local_fallback_retries = curstep->arg1; break; case CRUSH_RULE_SET_CHOOSELEAF_VARY_R: if (curstep->arg1 >= 0) vary_r = curstep->arg1; break; case CRUSH_RULE_CHOOSELEAF_FIRSTN: case CRUSH_RULE_CHOOSE_FIRSTN: firstn = 1; /* fall through */ case CRUSH_RULE_CHOOSELEAF_INDEP: case CRUSH_RULE_CHOOSE_INDEP: if (wsize == 0) break; recurse_to_leaf = curstep->op == CRUSH_RULE_CHOOSELEAF_FIRSTN || curstep->op == CRUSH_RULE_CHOOSELEAF_INDEP; /* reset output */ osize = 0; for (i = 0; i < wsize; i++) { /* * see CRUSH_N, CRUSH_N_MINUS macros. * basically, numrep <= 0 means relative to * the provided result_max */ numrep = curstep->arg1; if (numrep <= 0) { numrep += result_max; if (numrep <= 0) continue; } j = 0; if (firstn) { int recurse_tries; if (choose_leaf_tries) recurse_tries = choose_leaf_tries; else if (map->chooseleaf_descend_once) recurse_tries = 1; else recurse_tries = choose_tries; osize += crush_choose_firstn( map, map->buckets[-1-w[i]], weight, weight_max, x, numrep, curstep->arg2, o+osize, j, choose_tries, recurse_tries, choose_local_retries, choose_local_fallback_retries, recurse_to_leaf, vary_r, c+osize, 0); } else { crush_choose_indep( map, map->buckets[-1-w[i]], weight, weight_max, x, numrep, numrep, curstep->arg2, o+osize, j, choose_tries, choose_leaf_tries ? choose_leaf_tries : 1, recurse_to_leaf, c+osize, 0); osize += numrep; } } if (recurse_to_leaf) /* copy final _leaf_ values to output set */ memcpy(o, c, osize*sizeof(*o)); /* swap o and w arrays */ tmp = o; o = w; w = tmp; wsize = osize; break; case CRUSH_RULE_EMIT: for (i = 0; i < wsize && result_len < result_max; i++) { result[result_len] = w[i]; result_len++; } wsize = 0; break; default: dprintk(" unknown op %d at step %d\n", curstep->op, step); break; } } return result_len; } |