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TOMOYO Linux Cross Reference
Linux/net/ceph/crush/mapper.c

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  1 /*
  2  * Ceph - scalable distributed file system
  3  *
  4  * Copyright (C) 2015 Intel Corporation All Rights Reserved
  5  *
  6  * This is free software; you can redistribute it and/or
  7  * modify it under the terms of the GNU Lesser General Public
  8  * License version 2.1, as published by the Free Software
  9  * Foundation.  See file COPYING.
 10  *
 11  */
 12 
 13 #ifdef __KERNEL__
 14 # include <linux/string.h>
 15 # include <linux/slab.h>
 16 # include <linux/bug.h>
 17 # include <linux/kernel.h>
 18 # include <linux/crush/crush.h>
 19 # include <linux/crush/hash.h>
 20 # include <linux/crush/mapper.h>
 21 #else
 22 # include "crush_compat.h"
 23 # include "crush.h"
 24 # include "hash.h"
 25 # include "mapper.h"
 26 #endif
 27 #include "crush_ln_table.h"
 28 
 29 #define dprintk(args...) /* printf(args) */
 30 
 31 /*
 32  * Implement the core CRUSH mapping algorithm.
 33  */
 34 
 35 /**
 36  * crush_find_rule - find a crush_rule id for a given ruleset, type, and size.
 37  * @map: the crush_map
 38  * @ruleset: the storage ruleset id (user defined)
 39  * @type: storage ruleset type (user defined)
 40  * @size: output set size
 41  */
 42 int crush_find_rule(const struct crush_map *map, int ruleset, int type, int size)
 43 {
 44         __u32 i;
 45 
 46         for (i = 0; i < map->max_rules; i++) {
 47                 if (map->rules[i] &&
 48                     map->rules[i]->mask.ruleset == ruleset &&
 49                     map->rules[i]->mask.type == type &&
 50                     map->rules[i]->mask.min_size <= size &&
 51                     map->rules[i]->mask.max_size >= size)
 52                         return i;
 53         }
 54         return -1;
 55 }
 56 
 57 /*
 58  * bucket choose methods
 59  *
 60  * For each bucket algorithm, we have a "choose" method that, given a
 61  * crush input @x and replica position (usually, position in output set) @r,
 62  * will produce an item in the bucket.
 63  */
 64 
 65 /*
 66  * Choose based on a random permutation of the bucket.
 67  *
 68  * We used to use some prime number arithmetic to do this, but it
 69  * wasn't very random, and had some other bad behaviors.  Instead, we
 70  * calculate an actual random permutation of the bucket members.
 71  * Since this is expensive, we optimize for the r=0 case, which
 72  * captures the vast majority of calls.
 73  */
 74 static int bucket_perm_choose(const struct crush_bucket *bucket,
 75                               struct crush_work_bucket *work,
 76                               int x, int r)
 77 {
 78         unsigned int pr = r % bucket->size;
 79         unsigned int i, s;
 80 
 81         /* start a new permutation if @x has changed */
 82         if (work->perm_x != (__u32)x || work->perm_n == 0) {
 83                 dprintk("bucket %d new x=%d\n", bucket->id, x);
 84                 work->perm_x = x;
 85 
 86                 /* optimize common r=0 case */
 87                 if (pr == 0) {
 88                         s = crush_hash32_3(bucket->hash, x, bucket->id, 0) %
 89                                 bucket->size;
 90                         work->perm[0] = s;
 91                         work->perm_n = 0xffff;   /* magic value, see below */
 92                         goto out;
 93                 }
 94 
 95                 for (i = 0; i < bucket->size; i++)
 96                         work->perm[i] = i;
 97                 work->perm_n = 0;
 98         } else if (work->perm_n == 0xffff) {
 99                 /* clean up after the r=0 case above */
100                 for (i = 1; i < bucket->size; i++)
101                         work->perm[i] = i;
102                 work->perm[work->perm[0]] = 0;
103                 work->perm_n = 1;
104         }
105 
106         /* calculate permutation up to pr */
107         for (i = 0; i < work->perm_n; i++)
108                 dprintk(" perm_choose have %d: %d\n", i, work->perm[i]);
109         while (work->perm_n <= pr) {
110                 unsigned int p = work->perm_n;
111                 /* no point in swapping the final entry */
112                 if (p < bucket->size - 1) {
113                         i = crush_hash32_3(bucket->hash, x, bucket->id, p) %
114                                 (bucket->size - p);
115                         if (i) {
116                                 unsigned int t = work->perm[p + i];
117                                 work->perm[p + i] = work->perm[p];
118                                 work->perm[p] = t;
119                         }
120                         dprintk(" perm_choose swap %d with %d\n", p, p+i);
121                 }
122                 work->perm_n++;
123         }
124         for (i = 0; i < bucket->size; i++)
125                 dprintk(" perm_choose  %d: %d\n", i, work->perm[i]);
126 
127         s = work->perm[pr];
128 out:
129         dprintk(" perm_choose %d sz=%d x=%d r=%d (%d) s=%d\n", bucket->id,
130                 bucket->size, x, r, pr, s);
131         return bucket->items[s];
132 }
133 
134 /* uniform */
135 static int bucket_uniform_choose(const struct crush_bucket_uniform *bucket,
136                                  struct crush_work_bucket *work, int x, int r)
137 {
138         return bucket_perm_choose(&bucket->h, work, x, r);
139 }
140 
141 /* list */
142 static int bucket_list_choose(const struct crush_bucket_list *bucket,
143                               int x, int r)
144 {
145         int i;
146 
147         for (i = bucket->h.size-1; i >= 0; i--) {
148                 __u64 w = crush_hash32_4(bucket->h.hash, x, bucket->h.items[i],
149                                          r, bucket->h.id);
150                 w &= 0xffff;
151                 dprintk("list_choose i=%d x=%d r=%d item %d weight %x "
152                         "sw %x rand %llx",
153                         i, x, r, bucket->h.items[i], bucket->item_weights[i],
154                         bucket->sum_weights[i], w);
155                 w *= bucket->sum_weights[i];
156                 w = w >> 16;
157                 /*dprintk(" scaled %llx\n", w);*/
158                 if (w < bucket->item_weights[i]) {
159                         return bucket->h.items[i];
160                 }
161         }
162 
163         dprintk("bad list sums for bucket %d\n", bucket->h.id);
164         return bucket->h.items[0];
165 }
166 
167 
168 /* (binary) tree */
169 static int height(int n)
170 {
171         int h = 0;
172         while ((n & 1) == 0) {
173                 h++;
174                 n = n >> 1;
175         }
176         return h;
177 }
178 
179 static int left(int x)
180 {
181         int h = height(x);
182         return x - (1 << (h-1));
183 }
184 
185 static int right(int x)
186 {
187         int h = height(x);
188         return x + (1 << (h-1));
189 }
190 
191 static int terminal(int x)
192 {
193         return x & 1;
194 }
195 
196 static int bucket_tree_choose(const struct crush_bucket_tree *bucket,
197                               int x, int r)
198 {
199         int n;
200         __u32 w;
201         __u64 t;
202 
203         /* start at root */
204         n = bucket->num_nodes >> 1;
205 
206         while (!terminal(n)) {
207                 int l;
208                 /* pick point in [0, w) */
209                 w = bucket->node_weights[n];
210                 t = (__u64)crush_hash32_4(bucket->h.hash, x, n, r,
211                                           bucket->h.id) * (__u64)w;
212                 t = t >> 32;
213 
214                 /* descend to the left or right? */
215                 l = left(n);
216                 if (t < bucket->node_weights[l])
217                         n = l;
218                 else
219                         n = right(n);
220         }
221 
222         return bucket->h.items[n >> 1];
223 }
224 
225 
226 /* straw */
227 
228 static int bucket_straw_choose(const struct crush_bucket_straw *bucket,
229                                int x, int r)
230 {
231         __u32 i;
232         int high = 0;
233         __u64 high_draw = 0;
234         __u64 draw;
235 
236         for (i = 0; i < bucket->h.size; i++) {
237                 draw = crush_hash32_3(bucket->h.hash, x, bucket->h.items[i], r);
238                 draw &= 0xffff;
239                 draw *= bucket->straws[i];
240                 if (i == 0 || draw > high_draw) {
241                         high = i;
242                         high_draw = draw;
243                 }
244         }
245         return bucket->h.items[high];
246 }
247 
248 /* compute 2^44*log2(input+1) */
249 static __u64 crush_ln(unsigned int xin)
250 {
251         unsigned int x = xin;
252         int iexpon, index1, index2;
253         __u64 RH, LH, LL, xl64, result;
254 
255         x++;
256 
257         /* normalize input */
258         iexpon = 15;
259 
260         /*
261          * figure out number of bits we need to shift and
262          * do it in one step instead of iteratively
263          */
264         if (!(x & 0x18000)) {
265                 int bits = __builtin_clz(x & 0x1FFFF) - 16;
266                 x <<= bits;
267                 iexpon = 15 - bits;
268         }
269 
270         index1 = (x >> 8) << 1;
271         /* RH ~ 2^56/index1 */
272         RH = __RH_LH_tbl[index1 - 256];
273         /* LH ~ 2^48 * log2(index1/256) */
274         LH = __RH_LH_tbl[index1 + 1 - 256];
275 
276         /* RH*x ~ 2^48 * (2^15 + xf), xf<2^8 */
277         xl64 = (__s64)x * RH;
278         xl64 >>= 48;
279 
280         result = iexpon;
281         result <<= (12 + 32);
282 
283         index2 = xl64 & 0xff;
284         /* LL ~ 2^48*log2(1.0+index2/2^15) */
285         LL = __LL_tbl[index2];
286 
287         LH = LH + LL;
288 
289         LH >>= (48 - 12 - 32);
290         result += LH;
291 
292         return result;
293 }
294 
295 
296 /*
297  * straw2
298  *
299  * for reference, see:
300  *
301  * https://en.wikipedia.org/wiki/Exponential_distribution#Distribution_of_the_minimum_of_exponential_random_variables
302  *
303  */
304 
305 static __u32 *get_choose_arg_weights(const struct crush_bucket_straw2 *bucket,
306                                      const struct crush_choose_arg *arg,
307                                      int position)
308 {
309         if (!arg || !arg->weight_set)
310                 return bucket->item_weights;
311 
312         if (position >= arg->weight_set_size)
313                 position = arg->weight_set_size - 1;
314         return arg->weight_set[position].weights;
315 }
316 
317 static __s32 *get_choose_arg_ids(const struct crush_bucket_straw2 *bucket,
318                                  const struct crush_choose_arg *arg)
319 {
320         if (!arg || !arg->ids)
321                 return bucket->h.items;
322 
323         return arg->ids;
324 }
325 
326 static int bucket_straw2_choose(const struct crush_bucket_straw2 *bucket,
327                                 int x, int r,
328                                 const struct crush_choose_arg *arg,
329                                 int position)
330 {
331         unsigned int i, high = 0;
332         unsigned int u;
333         __s64 ln, draw, high_draw = 0;
334         __u32 *weights = get_choose_arg_weights(bucket, arg, position);
335         __s32 *ids = get_choose_arg_ids(bucket, arg);
336 
337         for (i = 0; i < bucket->h.size; i++) {
338                 dprintk("weight 0x%x item %d\n", weights[i], ids[i]);
339                 if (weights[i]) {
340                         u = crush_hash32_3(bucket->h.hash, x, ids[i], r);
341                         u &= 0xffff;
342 
343                         /*
344                          * for some reason slightly less than 0x10000 produces
345                          * a slightly more accurate distribution... probably a
346                          * rounding effect.
347                          *
348                          * the natural log lookup table maps [0,0xffff]
349                          * (corresponding to real numbers [1/0x10000, 1] to
350                          * [0, 0xffffffffffff] (corresponding to real numbers
351                          * [-11.090355,0]).
352                          */
353                         ln = crush_ln(u) - 0x1000000000000ll;
354 
355                         /*
356                          * divide by 16.16 fixed-point weight.  note
357                          * that the ln value is negative, so a larger
358                          * weight means a larger (less negative) value
359                          * for draw.
360                          */
361                         draw = div64_s64(ln, weights[i]);
362                 } else {
363                         draw = S64_MIN;
364                 }
365 
366                 if (i == 0 || draw > high_draw) {
367                         high = i;
368                         high_draw = draw;
369                 }
370         }
371 
372         return bucket->h.items[high];
373 }
374 
375 
376 static int crush_bucket_choose(const struct crush_bucket *in,
377                                struct crush_work_bucket *work,
378                                int x, int r,
379                                const struct crush_choose_arg *arg,
380                                int position)
381 {
382         dprintk(" crush_bucket_choose %d x=%d r=%d\n", in->id, x, r);
383         BUG_ON(in->size == 0);
384         switch (in->alg) {
385         case CRUSH_BUCKET_UNIFORM:
386                 return bucket_uniform_choose(
387                         (const struct crush_bucket_uniform *)in,
388                         work, x, r);
389         case CRUSH_BUCKET_LIST:
390                 return bucket_list_choose((const struct crush_bucket_list *)in,
391                                           x, r);
392         case CRUSH_BUCKET_TREE:
393                 return bucket_tree_choose((const struct crush_bucket_tree *)in,
394                                           x, r);
395         case CRUSH_BUCKET_STRAW:
396                 return bucket_straw_choose(
397                         (const struct crush_bucket_straw *)in,
398                         x, r);
399         case CRUSH_BUCKET_STRAW2:
400                 return bucket_straw2_choose(
401                         (const struct crush_bucket_straw2 *)in,
402                         x, r, arg, position);
403         default:
404                 dprintk("unknown bucket %d alg %d\n", in->id, in->alg);
405                 return in->items[0];
406         }
407 }
408 
409 /*
410  * true if device is marked "out" (failed, fully offloaded)
411  * of the cluster
412  */
413 static int is_out(const struct crush_map *map,
414                   const __u32 *weight, int weight_max,
415                   int item, int x)
416 {
417         if (item >= weight_max)
418                 return 1;
419         if (weight[item] >= 0x10000)
420                 return 0;
421         if (weight[item] == 0)
422                 return 1;
423         if ((crush_hash32_2(CRUSH_HASH_RJENKINS1, x, item) & 0xffff)
424             < weight[item])
425                 return 0;
426         return 1;
427 }
428 
429 /**
430  * crush_choose_firstn - choose numrep distinct items of given type
431  * @map: the crush_map
432  * @work: working space initialized by crush_init_workspace()
433  * @bucket: the bucket we are choose an item from
434  * @weight: weight vector (for map leaves)
435  * @weight_max: size of weight vector
436  * @x: crush input value
437  * @numrep: the number of items to choose
438  * @type: the type of item to choose
439  * @out: pointer to output vector
440  * @outpos: our position in that vector
441  * @out_size: size of the out vector
442  * @tries: number of attempts to make
443  * @recurse_tries: number of attempts to have recursive chooseleaf make
444  * @local_retries: localized retries
445  * @local_fallback_retries: localized fallback retries
446  * @recurse_to_leaf: true if we want one device under each item of given type (chooseleaf instead of choose)
447  * @stable: stable mode starts rep=0 in the recursive call for all replicas
448  * @vary_r: pass r to recursive calls
449  * @out2: second output vector for leaf items (if @recurse_to_leaf)
450  * @parent_r: r value passed from the parent
451  * @choose_args: weights and ids for each known bucket
452  */
453 static int crush_choose_firstn(const struct crush_map *map,
454                                struct crush_work *work,
455                                const struct crush_bucket *bucket,
456                                const __u32 *weight, int weight_max,
457                                int x, int numrep, int type,
458                                int *out, int outpos,
459                                int out_size,
460                                unsigned int tries,
461                                unsigned int recurse_tries,
462                                unsigned int local_retries,
463                                unsigned int local_fallback_retries,
464                                int recurse_to_leaf,
465                                unsigned int vary_r,
466                                unsigned int stable,
467                                int *out2,
468                                int parent_r,
469                                const struct crush_choose_arg *choose_args)
470 {
471         int rep;
472         unsigned int ftotal, flocal;
473         int retry_descent, retry_bucket, skip_rep;
474         const struct crush_bucket *in = bucket;
475         int r;
476         int i;
477         int item = 0;
478         int itemtype;
479         int collide, reject;
480         int count = out_size;
481 
482         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 stable %d\n",
483                 recurse_to_leaf ? "_LEAF" : "",
484                 bucket->id, x, outpos, numrep,
485                 tries, recurse_tries, local_retries, local_fallback_retries,
486                 parent_r, stable);
487 
488         for (rep = stable ? 0 : outpos; rep < numrep && count > 0 ; rep++) {
489                 /* keep trying until we get a non-out, non-colliding item */
490                 ftotal = 0;
491                 skip_rep = 0;
492                 do {
493                         retry_descent = 0;
494                         in = bucket;               /* initial bucket */
495 
496                         /* choose through intervening buckets */
497                         flocal = 0;
498                         do {
499                                 collide = 0;
500                                 retry_bucket = 0;
501                                 r = rep + parent_r;
502                                 /* r' = r + f_total */
503                                 r += ftotal;
504 
505                                 /* bucket choose */
506                                 if (in->size == 0) {
507                                         reject = 1;
508                                         goto reject;
509                                 }
510                                 if (local_fallback_retries > 0 &&
511                                     flocal >= (in->size>>1) &&
512                                     flocal > local_fallback_retries)
513                                         item = bucket_perm_choose(
514                                                 in, work->work[-1-in->id],
515                                                 x, r);
516                                 else
517                                         item = crush_bucket_choose(
518                                                 in, work->work[-1-in->id],
519                                                 x, r,
520                                                 (choose_args ?
521                                                  &choose_args[-1-in->id] : NULL),
522                                                 outpos);
523                                 if (item >= map->max_devices) {
524                                         dprintk("   bad item %d\n", item);
525                                         skip_rep = 1;
526                                         break;
527                                 }
528 
529                                 /* desired type? */
530                                 if (item < 0)
531                                         itemtype = map->buckets[-1-item]->type;
532                                 else
533                                         itemtype = 0;
534                                 dprintk("  item %d type %d\n", item, itemtype);
535 
536                                 /* keep going? */
537                                 if (itemtype != type) {
538                                         if (item >= 0 ||
539                                             (-1-item) >= map->max_buckets) {
540                                                 dprintk("   bad item type %d\n", type);
541                                                 skip_rep = 1;
542                                                 break;
543                                         }
544                                         in = map->buckets[-1-item];
545                                         retry_bucket = 1;
546                                         continue;
547                                 }
548 
549                                 /* collision? */
550                                 for (i = 0; i < outpos; i++) {
551                                         if (out[i] == item) {
552                                                 collide = 1;
553                                                 break;
554                                         }
555                                 }
556 
557                                 reject = 0;
558                                 if (!collide && recurse_to_leaf) {
559                                         if (item < 0) {
560                                                 int sub_r;
561                                                 if (vary_r)
562                                                         sub_r = r >> (vary_r-1);
563                                                 else
564                                                         sub_r = 0;
565                                                 if (crush_choose_firstn(
566                                                             map,
567                                                             work,
568                                                             map->buckets[-1-item],
569                                                             weight, weight_max,
570                                                             x, stable ? 1 : outpos+1, 0,
571                                                             out2, outpos, count,
572                                                             recurse_tries, 0,
573                                                             local_retries,
574                                                             local_fallback_retries,
575                                                             0,
576                                                             vary_r,
577                                                             stable,
578                                                             NULL,
579                                                             sub_r,
580                                                             choose_args) <= outpos)
581                                                         /* didn't get leaf */
582                                                         reject = 1;
583                                         } else {
584                                                 /* we already have a leaf! */
585                                                 out2[outpos] = item;
586                                         }
587                                 }
588 
589                                 if (!reject && !collide) {
590                                         /* out? */
591                                         if (itemtype == 0)
592                                                 reject = is_out(map, weight,
593                                                                 weight_max,
594                                                                 item, x);
595                                 }
596 
597 reject:
598                                 if (reject || collide) {
599                                         ftotal++;
600                                         flocal++;
601 
602                                         if (collide && flocal <= local_retries)
603                                                 /* retry locally a few times */
604                                                 retry_bucket = 1;
605                                         else if (local_fallback_retries > 0 &&
606                                                  flocal <= in->size + local_fallback_retries)
607                                                 /* exhaustive bucket search */
608                                                 retry_bucket = 1;
609                                         else if (ftotal < tries)
610                                                 /* then retry descent */
611                                                 retry_descent = 1;
612                                         else
613                                                 /* else give up */
614                                                 skip_rep = 1;
615                                         dprintk("  reject %d  collide %d  "
616                                                 "ftotal %u  flocal %u\n",
617                                                 reject, collide, ftotal,
618                                                 flocal);
619                                 }
620                         } while (retry_bucket);
621                 } while (retry_descent);
622 
623                 if (skip_rep) {
624                         dprintk("skip rep\n");
625                         continue;
626                 }
627 
628                 dprintk("CHOOSE got %d\n", item);
629                 out[outpos] = item;
630                 outpos++;
631                 count--;
632 #ifndef __KERNEL__
633                 if (map->choose_tries && ftotal <= map->choose_total_tries)
634                         map->choose_tries[ftotal]++;
635 #endif
636         }
637 
638         dprintk("CHOOSE returns %d\n", outpos);
639         return outpos;
640 }
641 
642 
643 /*
644  * crush_choose_indep: alternative breadth-first positionally stable mapping
645  */
646 static void crush_choose_indep(const struct crush_map *map,
647                                struct crush_work *work,
648                                const struct crush_bucket *bucket,
649                                const __u32 *weight, int weight_max,
650                                int x, int left, int numrep, int type,
651                                int *out, int outpos,
652                                unsigned int tries,
653                                unsigned int recurse_tries,
654                                int recurse_to_leaf,
655                                int *out2,
656                                int parent_r,
657                                const struct crush_choose_arg *choose_args)
658 {
659         const struct crush_bucket *in = bucket;
660         int endpos = outpos + left;
661         int rep;
662         unsigned int ftotal;
663         int r;
664         int i;
665         int item = 0;
666         int itemtype;
667         int collide;
668 
669         dprintk("CHOOSE%s INDEP bucket %d x %d outpos %d numrep %d\n", recurse_to_leaf ? "_LEAF" : "",
670                 bucket->id, x, outpos, numrep);
671 
672         /* initially my result is undefined */
673         for (rep = outpos; rep < endpos; rep++) {
674                 out[rep] = CRUSH_ITEM_UNDEF;
675                 if (out2)
676                         out2[rep] = CRUSH_ITEM_UNDEF;
677         }
678 
679         for (ftotal = 0; left > 0 && ftotal < tries; ftotal++) {
680 #ifdef DEBUG_INDEP
681                 if (out2 && ftotal) {
682                         dprintk("%u %d a: ", ftotal, left);
683                         for (rep = outpos; rep < endpos; rep++) {
684                                 dprintk(" %d", out[rep]);
685                         }
686                         dprintk("\n");
687                         dprintk("%u %d b: ", ftotal, left);
688                         for (rep = outpos; rep < endpos; rep++) {
689                                 dprintk(" %d", out2[rep]);
690                         }
691                         dprintk("\n");
692                 }
693 #endif
694                 for (rep = outpos; rep < endpos; rep++) {
695                         if (out[rep] != CRUSH_ITEM_UNDEF)
696                                 continue;
697 
698                         in = bucket;  /* initial bucket */
699 
700                         /* choose through intervening buckets */
701                         for (;;) {
702                                 /* note: we base the choice on the position
703                                  * even in the nested call.  that means that
704                                  * if the first layer chooses the same bucket
705                                  * in a different position, we will tend to
706                                  * choose a different item in that bucket.
707                                  * this will involve more devices in data
708                                  * movement and tend to distribute the load.
709                                  */
710                                 r = rep + parent_r;
711 
712                                 /* be careful */
713                                 if (in->alg == CRUSH_BUCKET_UNIFORM &&
714                                     in->size % numrep == 0)
715                                         /* r'=r+(n+1)*f_total */
716                                         r += (numrep+1) * ftotal;
717                                 else
718                                         /* r' = r + n*f_total */
719                                         r += numrep * ftotal;
720 
721                                 /* bucket choose */
722                                 if (in->size == 0) {
723                                         dprintk("   empty bucket\n");
724                                         break;
725                                 }
726 
727                                 item = crush_bucket_choose(
728                                         in, work->work[-1-in->id],
729                                         x, r,
730                                         (choose_args ?
731                                          &choose_args[-1-in->id] : NULL),
732                                         outpos);
733                                 if (item >= map->max_devices) {
734                                         dprintk("   bad item %d\n", item);
735                                         out[rep] = CRUSH_ITEM_NONE;
736                                         if (out2)
737                                                 out2[rep] = CRUSH_ITEM_NONE;
738                                         left--;
739                                         break;
740                                 }
741 
742                                 /* desired type? */
743                                 if (item < 0)
744                                         itemtype = map->buckets[-1-item]->type;
745                                 else
746                                         itemtype = 0;
747                                 dprintk("  item %d type %d\n", item, itemtype);
748 
749                                 /* keep going? */
750                                 if (itemtype != type) {
751                                         if (item >= 0 ||
752                                             (-1-item) >= map->max_buckets) {
753                                                 dprintk("   bad item type %d\n", type);
754                                                 out[rep] = CRUSH_ITEM_NONE;
755                                                 if (out2)
756                                                         out2[rep] =
757                                                                 CRUSH_ITEM_NONE;
758                                                 left--;
759                                                 break;
760                                         }
761                                         in = map->buckets[-1-item];
762                                         continue;
763                                 }
764 
765                                 /* collision? */
766                                 collide = 0;
767                                 for (i = outpos; i < endpos; i++) {
768                                         if (out[i] == item) {
769                                                 collide = 1;
770                                                 break;
771                                         }
772                                 }
773                                 if (collide)
774                                         break;
775 
776                                 if (recurse_to_leaf) {
777                                         if (item < 0) {
778                                                 crush_choose_indep(
779                                                         map,
780                                                         work,
781                                                         map->buckets[-1-item],
782                                                         weight, weight_max,
783                                                         x, 1, numrep, 0,
784                                                         out2, rep,
785                                                         recurse_tries, 0,
786                                                         0, NULL, r,
787                                                         choose_args);
788                                                 if (out2[rep] == CRUSH_ITEM_NONE) {
789                                                         /* placed nothing; no leaf */
790                                                         break;
791                                                 }
792                                         } else {
793                                                 /* we already have a leaf! */
794                                                 out2[rep] = item;
795                                         }
796                                 }
797 
798                                 /* out? */
799                                 if (itemtype == 0 &&
800                                     is_out(map, weight, weight_max, item, x))
801                                         break;
802 
803                                 /* yay! */
804                                 out[rep] = item;
805                                 left--;
806                                 break;
807                         }
808                 }
809         }
810         for (rep = outpos; rep < endpos; rep++) {
811                 if (out[rep] == CRUSH_ITEM_UNDEF) {
812                         out[rep] = CRUSH_ITEM_NONE;
813                 }
814                 if (out2 && out2[rep] == CRUSH_ITEM_UNDEF) {
815                         out2[rep] = CRUSH_ITEM_NONE;
816                 }
817         }
818 #ifndef __KERNEL__
819         if (map->choose_tries && ftotal <= map->choose_total_tries)
820                 map->choose_tries[ftotal]++;
821 #endif
822 #ifdef DEBUG_INDEP
823         if (out2) {
824                 dprintk("%u %d a: ", ftotal, left);
825                 for (rep = outpos; rep < endpos; rep++) {
826                         dprintk(" %d", out[rep]);
827                 }
828                 dprintk("\n");
829                 dprintk("%u %d b: ", ftotal, left);
830                 for (rep = outpos; rep < endpos; rep++) {
831                         dprintk(" %d", out2[rep]);
832                 }
833                 dprintk("\n");
834         }
835 #endif
836 }
837 
838 
839 /*
840  * This takes a chunk of memory and sets it up to be a shiny new
841  * working area for a CRUSH placement computation. It must be called
842  * on any newly allocated memory before passing it in to
843  * crush_do_rule. It may be used repeatedly after that, so long as the
844  * map has not changed. If the map /has/ changed, you must make sure
845  * the working size is no smaller than what was allocated and re-run
846  * crush_init_workspace.
847  *
848  * If you do retain the working space between calls to crush, make it
849  * thread-local.
850  */
851 void crush_init_workspace(const struct crush_map *map, void *v)
852 {
853         struct crush_work *w = v;
854         __s32 b;
855 
856         /*
857          * We work by moving through the available space and setting
858          * values and pointers as we go.
859          *
860          * It's a bit like Forth's use of the 'allot' word since we
861          * set the pointer first and then reserve the space for it to
862          * point to by incrementing the point.
863          */
864         v += sizeof(struct crush_work);
865         w->work = v;
866         v += map->max_buckets * sizeof(struct crush_work_bucket *);
867         for (b = 0; b < map->max_buckets; ++b) {
868                 if (!map->buckets[b])
869                         continue;
870 
871                 w->work[b] = v;
872                 switch (map->buckets[b]->alg) {
873                 default:
874                         v += sizeof(struct crush_work_bucket);
875                         break;
876                 }
877                 w->work[b]->perm_x = 0;
878                 w->work[b]->perm_n = 0;
879                 w->work[b]->perm = v;
880                 v += map->buckets[b]->size * sizeof(__u32);
881         }
882         BUG_ON(v - (void *)w != map->working_size);
883 }
884 
885 /**
886  * crush_do_rule - calculate a mapping with the given input and rule
887  * @map: the crush_map
888  * @ruleno: the rule id
889  * @x: hash input
890  * @result: pointer to result vector
891  * @result_max: maximum result size
892  * @weight: weight vector (for map leaves)
893  * @weight_max: size of weight vector
894  * @cwin: pointer to at least crush_work_size() bytes of memory
895  * @choose_args: weights and ids for each known bucket
896  */
897 int crush_do_rule(const struct crush_map *map,
898                   int ruleno, int x, int *result, int result_max,
899                   const __u32 *weight, int weight_max,
900                   void *cwin, const struct crush_choose_arg *choose_args)
901 {
902         int result_len;
903         struct crush_work *cw = cwin;
904         int *a = cwin + map->working_size;
905         int *b = a + result_max;
906         int *c = b + result_max;
907         int *w = a;
908         int *o = b;
909         int recurse_to_leaf;
910         int wsize = 0;
911         int osize;
912         const struct crush_rule *rule;
913         __u32 step;
914         int i, j;
915         int numrep;
916         int out_size;
917         /*
918          * the original choose_total_tries value was off by one (it
919          * counted "retries" and not "tries").  add one.
920          */
921         int choose_tries = map->choose_total_tries + 1;
922         int choose_leaf_tries = 0;
923         /*
924          * the local tries values were counted as "retries", though,
925          * and need no adjustment
926          */
927         int choose_local_retries = map->choose_local_tries;
928         int choose_local_fallback_retries = map->choose_local_fallback_tries;
929 
930         int vary_r = map->chooseleaf_vary_r;
931         int stable = map->chooseleaf_stable;
932 
933         if ((__u32)ruleno >= map->max_rules) {
934                 dprintk(" bad ruleno %d\n", ruleno);
935                 return 0;
936         }
937 
938         rule = map->rules[ruleno];
939         result_len = 0;
940 
941         for (step = 0; step < rule->len; step++) {
942                 int firstn = 0;
943                 const struct crush_rule_step *curstep = &rule->steps[step];
944 
945                 switch (curstep->op) {
946                 case CRUSH_RULE_TAKE:
947                         if ((curstep->arg1 >= 0 &&
948                              curstep->arg1 < map->max_devices) ||
949                             (-1-curstep->arg1 >= 0 &&
950                              -1-curstep->arg1 < map->max_buckets &&
951                              map->buckets[-1-curstep->arg1])) {
952                                 w[0] = curstep->arg1;
953                                 wsize = 1;
954                         } else {
955                                 dprintk(" bad take value %d\n", curstep->arg1);
956                         }
957                         break;
958 
959                 case CRUSH_RULE_SET_CHOOSE_TRIES:
960                         if (curstep->arg1 > 0)
961                                 choose_tries = curstep->arg1;
962                         break;
963 
964                 case CRUSH_RULE_SET_CHOOSELEAF_TRIES:
965                         if (curstep->arg1 > 0)
966                                 choose_leaf_tries = curstep->arg1;
967                         break;
968 
969                 case CRUSH_RULE_SET_CHOOSE_LOCAL_TRIES:
970                         if (curstep->arg1 >= 0)
971                                 choose_local_retries = curstep->arg1;
972                         break;
973 
974                 case CRUSH_RULE_SET_CHOOSE_LOCAL_FALLBACK_TRIES:
975                         if (curstep->arg1 >= 0)
976                                 choose_local_fallback_retries = curstep->arg1;
977                         break;
978 
979                 case CRUSH_RULE_SET_CHOOSELEAF_VARY_R:
980                         if (curstep->arg1 >= 0)
981                                 vary_r = curstep->arg1;
982                         break;
983 
984                 case CRUSH_RULE_SET_CHOOSELEAF_STABLE:
985                         if (curstep->arg1 >= 0)
986                                 stable = curstep->arg1;
987                         break;
988 
989                 case CRUSH_RULE_CHOOSELEAF_FIRSTN:
990                 case CRUSH_RULE_CHOOSE_FIRSTN:
991                         firstn = 1;
992                         fallthrough;
993                 case CRUSH_RULE_CHOOSELEAF_INDEP:
994                 case CRUSH_RULE_CHOOSE_INDEP:
995                         if (wsize == 0)
996                                 break;
997 
998                         recurse_to_leaf =
999                                 curstep->op ==
1000                                  CRUSH_RULE_CHOOSELEAF_FIRSTN ||
1001                                 curstep->op ==
1002                                 CRUSH_RULE_CHOOSELEAF_INDEP;
1003 
1004                         /* reset output */
1005                         osize = 0;
1006 
1007                         for (i = 0; i < wsize; i++) {
1008                                 int bno;
1009                                 numrep = curstep->arg1;
1010                                 if (numrep <= 0) {
1011                                         numrep += result_max;
1012                                         if (numrep <= 0)
1013                                                 continue;
1014                                 }
1015                                 j = 0;
1016                                 /* make sure bucket id is valid */
1017                                 bno = -1 - w[i];
1018                                 if (bno < 0 || bno >= map->max_buckets) {
1019                                         /* w[i] is probably CRUSH_ITEM_NONE */
1020                                         dprintk("  bad w[i] %d\n", w[i]);
1021                                         continue;
1022                                 }
1023                                 if (firstn) {
1024                                         int recurse_tries;
1025                                         if (choose_leaf_tries)
1026                                                 recurse_tries =
1027                                                         choose_leaf_tries;
1028                                         else if (map->chooseleaf_descend_once)
1029                                                 recurse_tries = 1;
1030                                         else
1031                                                 recurse_tries = choose_tries;
1032                                         osize += crush_choose_firstn(
1033                                                 map,
1034                                                 cw,
1035                                                 map->buckets[bno],
1036                                                 weight, weight_max,
1037                                                 x, numrep,
1038                                                 curstep->arg2,
1039                                                 o+osize, j,
1040                                                 result_max-osize,
1041                                                 choose_tries,
1042                                                 recurse_tries,
1043                                                 choose_local_retries,
1044                                                 choose_local_fallback_retries,
1045                                                 recurse_to_leaf,
1046                                                 vary_r,
1047                                                 stable,
1048                                                 c+osize,
1049                                                 0,
1050                                                 choose_args);
1051                                 } else {
1052                                         out_size = ((numrep < (result_max-osize)) ?
1053                                                     numrep : (result_max-osize));
1054                                         crush_choose_indep(
1055                                                 map,
1056                                                 cw,
1057                                                 map->buckets[bno],
1058                                                 weight, weight_max,
1059                                                 x, out_size, numrep,
1060                                                 curstep->arg2,
1061                                                 o+osize, j,
1062                                                 choose_tries,
1063                                                 choose_leaf_tries ?
1064                                                    choose_leaf_tries : 1,
1065                                                 recurse_to_leaf,
1066                                                 c+osize,
1067                                                 0,
1068                                                 choose_args);
1069                                         osize += out_size;
1070                                 }
1071                         }
1072 
1073                         if (recurse_to_leaf)
1074                                 /* copy final _leaf_ values to output set */
1075                                 memcpy(o, c, osize*sizeof(*o));
1076 
1077                         /* swap o and w arrays */
1078                         swap(o, w);
1079                         wsize = osize;
1080                         break;
1081 
1082 
1083                 case CRUSH_RULE_EMIT:
1084                         for (i = 0; i < wsize && result_len < result_max; i++) {
1085                                 result[result_len] = w[i];
1086                                 result_len++;
1087                         }
1088                         wsize = 0;
1089                         break;
1090 
1091                 default:
1092                         dprintk(" unknown op %d at step %d\n",
1093                                 curstep->op, step);
1094                         break;
1095                 }
1096         }
1097 
1098         return result_len;
1099 }
1100 

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