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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 | #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> /* * 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(struct crush_map *map, int ruleset, int type, int size) { int 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 pr = r % bucket->size; unsigned i, s; /* start a new permutation if @x has changed */ if (bucket->perm_x != 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 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 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]; } BUG_ON(1); return 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, l; __u32 w; __u64 t; /* start at root */ n = bucket->num_nodes >> 1; while (!terminal(n)) { /* 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) { int 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); 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: BUG_ON(1); return in->items[0]; } } /* * true if device is marked "out" (failed, fully offloaded) * of the cluster */ static int is_out(struct crush_map *map, __u32 *weight, int item, int x) { 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 - 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 * @firstn: true if choosing "first n" items, false if choosing "indep" * @recurse_to_leaf: true if we want one device under each item of given type * @out2: second output vector for leaf items (if @recurse_to_leaf) */ static int crush_choose(struct crush_map *map, struct crush_bucket *bucket, __u32 *weight, int x, int numrep, int type, int *out, int outpos, int firstn, int recurse_to_leaf, int *out2) { int rep; 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; const int orig_tries = 5; /* attempts before we fall back to search */ dprintk("CHOOSE%s bucket %d x %d outpos %d numrep %d\n", recurse_to_leaf ? "_LEAF" : "", bucket->id, x, outpos, numrep); 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; if (in->alg == CRUSH_BUCKET_UNIFORM) { /* be careful */ if (firstn || numrep >= in->size) /* r' = r + f_total */ r += ftotal; else if (in->size % numrep == 0) /* r'=r+(n+1)*f_local */ r += (numrep+1) * (flocal+ftotal); else /* r' = r + n*f_local */ r += numrep * (flocal+ftotal); } else { if (firstn) /* r' = r + f_total */ r += ftotal; else /* r' = r + n*f_local */ r += numrep * (flocal+ftotal); } /* bucket choose */ if (in->size == 0) { reject = 1; goto reject; } if (flocal >= (in->size>>1) && flocal > orig_tries) item = bucket_perm_choose(in, x, r); else item = crush_bucket_choose(in, x, r); BUG_ON(item >= map->max_devices); /* 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) { BUG_ON(item >= 0 || (-1-item) >= map->max_buckets); 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 (recurse_to_leaf) { if (item < 0) { if (crush_choose(map, map->buckets[-1-item], weight, x, outpos+1, 0, out2, outpos, firstn, 0, NULL) <= 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, item, x); else reject = 0; } reject: if (reject || collide) { ftotal++; flocal++; if (collide && flocal < 3) /* retry locally a few times */ retry_bucket = 1; else if (flocal < in->size + orig_tries) /* exhaustive bucket search */ retry_bucket = 1; else if (ftotal < 20) /* then retry descent */ retry_descent = 1; else /* else give up */ skip_rep = 1; dprintk(" reject %d collide %d " "ftotal %d flocal %d\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_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 * @force: force initial replica choice; -1 for none */ int crush_do_rule(struct crush_map *map, int ruleno, int x, int *result, int result_max, int force, __u32 *weight) { int result_len; int force_context[CRUSH_MAX_DEPTH]; int force_pos = -1; int a[CRUSH_MAX_SET]; int b[CRUSH_MAX_SET]; int c[CRUSH_MAX_SET]; int recurse_to_leaf; int *w; int wsize = 0; int *o; int osize; int *tmp; struct crush_rule *rule; int step; int i, j; int numrep; int firstn; int rc = -1; BUG_ON(ruleno >= map->max_rules); rule = map->rules[ruleno]; result_len = 0; w = a; o = b; /* * determine hierarchical context of force, if any. note * that this may or may not correspond to the specific types * referenced by the crush rule. */ if (force >= 0) { if (force >= map->max_devices || map->device_parents[force] == 0) { /*dprintk("CRUSH: forcefed device dne\n");*/ rc = -1; /* force fed device dne */ goto out; } if (!is_out(map, weight, force, x)) { while (1) { force_context[++force_pos] = force; if (force >= 0) force = map->device_parents[force]; else force = map->bucket_parents[-1-force]; if (force == 0) break; } } } for (step = 0; step < rule->len; step++) { firstn = 0; switch (rule->steps[step].op) { case CRUSH_RULE_TAKE: w[0] = rule->steps[step].arg1; if (force_pos >= 0) { BUG_ON(force_context[force_pos] != w[0]); force_pos--; } wsize = 1; break; case CRUSH_RULE_CHOOSE_LEAF_FIRSTN: case CRUSH_RULE_CHOOSE_FIRSTN: firstn = 1; case CRUSH_RULE_CHOOSE_LEAF_INDEP: case CRUSH_RULE_CHOOSE_INDEP: BUG_ON(wsize == 0); recurse_to_leaf = rule->steps[step].op == CRUSH_RULE_CHOOSE_LEAF_FIRSTN || rule->steps[step].op == CRUSH_RULE_CHOOSE_LEAF_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 = rule->steps[step].arg1; if (numrep <= 0) { numrep += result_max; if (numrep <= 0) continue; } j = 0; if (osize == 0 && force_pos >= 0) { /* skip any intermediate types */ while (force_pos && force_context[force_pos] < 0 && rule->steps[step].arg2 != map->buckets[-1 - force_context[force_pos]]->type) force_pos--; o[osize] = force_context[force_pos]; if (recurse_to_leaf) c[osize] = force_context[0]; j++; force_pos--; } osize += crush_choose(map, map->buckets[-1-w[i]], weight, x, numrep, rule->steps[step].arg2, o+osize, j, firstn, recurse_to_leaf, c+osize); } if (recurse_to_leaf) /* copy final _leaf_ values to output set */ memcpy(o, c, osize*sizeof(*o)); /* swap t 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: BUG_ON(1); } } rc = result_len; out: return rc; } |