1 // SPDX-License-Identifier: GPL-2.0
3 * Historical Service Time
5 * Keeps a time-weighted exponential moving average of the historical
6 * service time. Estimates future service time based on the historical
7 * service time and the number of outstanding requests.
9 * Marks paths stale if they have not finished within hst *
10 * num_paths. If a path is stale and unused, we will send a single
11 * request to probe in case the path has improved. This situation
12 * generally arises if the path is so much worse than others that it
13 * will never have the best estimated service time, or if the entire
14 * multipath device is unused. If a path is stale and in use, limit the
15 * number of requests it can receive with the assumption that the path
16 * has become degraded.
18 * To avoid repeatedly calculating exponents for time weighting, times
19 * are split into HST_WEIGHT_COUNT buckets each (1 >> HST_BUCKET_SHIFT)
20 * ns, and the weighting is pre-calculated.
25 #include "dm-path-selector.h"
27 #include <linux/blkdev.h>
28 #include <linux/slab.h>
29 #include <linux/module.h>
32 #define DM_MSG_PREFIX "multipath historical-service-time"
34 #define HST_VERSION "0.1.1"
36 #define HST_FIXED_SHIFT 10 /* 10 bits of decimal precision */
37 #define HST_FIXED_MAX (ULLONG_MAX >> HST_FIXED_SHIFT)
38 #define HST_FIXED_1 (1 << HST_FIXED_SHIFT)
39 #define HST_FIXED_95 972
40 #define HST_MAX_INFLIGHT HST_FIXED_1
41 #define HST_BUCKET_SHIFT 24 /* Buckets are ~ 16ms */
42 #define HST_WEIGHT_COUNT 64ULL
45 struct list_head valid_paths
;
46 struct list_head failed_paths
;
50 unsigned int weights
[HST_WEIGHT_COUNT
];
51 unsigned int threshold_multiplier
;
55 struct list_head list
;
57 unsigned int repeat_count
;
61 u64 historical_service_time
; /* Fixed point */
70 * fixed_power - compute: x^n, in O(log n) time
72 * @x: base of the power
73 * @frac_bits: fractional bits of @x
74 * @n: power to raise @x to.
76 * By exploiting the relation between the definition of the natural power
77 * function: x^n := x*x*...*x (x multiplied by itself for n times), and
78 * the binary encoding of numbers used by computers: n := \Sum n_i * 2^i,
79 * (where: n_i \elem {0, 1}, the binary vector representing n),
80 * we find: x^n := x^(\Sum n_i * 2^i) := \Prod x^(n_i * 2^i), which is
81 * of course trivially computable in O(log_2 n), the length of our binary
84 * (see: kernel/sched/loadavg.c)
86 static u64
fixed_power(u64 x
, unsigned int frac_bits
, unsigned int n
)
88 unsigned long result
= 1UL << frac_bits
;
94 result
+= 1UL << (frac_bits
- 1);
101 x
+= 1UL << (frac_bits
- 1);
110 * Calculate the next value of an exponential moving average
111 * a_1 = a_0 * e + a * (1 - e)
113 * @last: [0, ULLONG_MAX >> HST_FIXED_SHIFT]
114 * @next: [0, ULLONG_MAX >> HST_FIXED_SHIFT]
115 * @weight: [0, HST_FIXED_1]
118 * To account for multiple periods in the same calculation,
119 * a_n = a_0 * e^n + a * (1 - e^n),
120 * so call fixed_ema(last, next, pow(weight, N))
122 static u64
fixed_ema(u64 last
, u64 next
, u64 weight
)
125 last
+= next
* (HST_FIXED_1
- weight
);
126 last
+= 1ULL << (HST_FIXED_SHIFT
- 1);
127 return last
>> HST_FIXED_SHIFT
;
130 static struct selector
*alloc_selector(void)
132 struct selector
*s
= kmalloc(sizeof(*s
), GFP_KERNEL
);
135 INIT_LIST_HEAD(&s
->valid_paths
);
136 INIT_LIST_HEAD(&s
->failed_paths
);
137 spin_lock_init(&s
->lock
);
145 * Get the weight for a given time span.
147 static u64
hst_weight(struct path_selector
*ps
, u64 delta
)
149 struct selector
*s
= ps
->context
;
150 int bucket
= clamp(delta
>> HST_BUCKET_SHIFT
, 0ULL,
151 HST_WEIGHT_COUNT
- 1);
153 return s
->weights
[bucket
];
157 * Set up the weights array.
160 * weights[n] = base ^ (n + 1)
162 static void hst_set_weights(struct path_selector
*ps
, unsigned int base
)
164 struct selector
*s
= ps
->context
;
167 if (base
>= HST_FIXED_1
)
170 for (i
= 0; i
< HST_WEIGHT_COUNT
- 1; i
++)
171 s
->weights
[i
] = fixed_power(base
, HST_FIXED_SHIFT
, i
+ 1);
172 s
->weights
[HST_WEIGHT_COUNT
- 1] = 0;
175 static int hst_create(struct path_selector
*ps
, unsigned int argc
, char **argv
)
178 unsigned int base_weight
= HST_FIXED_95
;
179 unsigned int threshold_multiplier
= 0;
183 * Arguments: [<base_weight> [<threshold_multiplier>]]
184 * <base_weight>: Base weight for ema [0, 1024) 10-bit fixed point. A
185 * value of 0 will completely ignore any history.
186 * If not given, default (HST_FIXED_95) is used.
187 * <threshold_multiplier>: Minimum threshold multiplier for paths to
188 * be considered different. That is, a path is
189 * considered different iff (p1 > N * p2) where p1
190 * is the path with higher service time. A threshold
191 * of 1 or 0 has no effect. Defaults to 0.
196 if (argc
&& (sscanf(argv
[0], "%u%c", &base_weight
, &dummy
) != 1 ||
197 base_weight
>= HST_FIXED_1
)) {
201 if (argc
> 1 && (sscanf(argv
[1], "%u%c",
202 &threshold_multiplier
, &dummy
) != 1)) {
206 s
= alloc_selector();
212 hst_set_weights(ps
, base_weight
);
213 s
->threshold_multiplier
= threshold_multiplier
;
217 static void free_paths(struct list_head
*paths
)
219 struct path_info
*pi
, *next
;
221 list_for_each_entry_safe(pi
, next
, paths
, list
) {
227 static void hst_destroy(struct path_selector
*ps
)
229 struct selector
*s
= ps
->context
;
231 free_paths(&s
->valid_paths
);
232 free_paths(&s
->failed_paths
);
237 static int hst_status(struct path_selector
*ps
, struct dm_path
*path
,
238 status_type_t type
, char *result
, unsigned int maxlen
)
241 struct path_info
*pi
;
244 struct selector
*s
= ps
->context
;
246 DMEMIT("2 %u %u ", s
->weights
[0], s
->threshold_multiplier
);
248 pi
= path
->pscontext
;
251 case STATUSTYPE_INFO
:
252 DMEMIT("%llu %llu %llu ", pi
->historical_service_time
,
253 pi
->outstanding
, pi
->stale_after
);
255 case STATUSTYPE_TABLE
:
264 static int hst_add_path(struct path_selector
*ps
, struct dm_path
*path
,
265 int argc
, char **argv
, char **error
)
267 struct selector
*s
= ps
->context
;
268 struct path_info
*pi
;
269 unsigned int repeat_count
= HST_MIN_IO
;
274 * Arguments: [<repeat_count>]
275 * <repeat_count>: The number of I/Os before switching path.
276 * If not given, default (HST_MIN_IO) is used.
279 *error
= "historical-service-time ps: incorrect number of arguments";
283 if (argc
&& (sscanf(argv
[0], "%u%c", &repeat_count
, &dummy
) != 1)) {
284 *error
= "historical-service-time ps: invalid repeat count";
288 /* allocate the path */
289 pi
= kmalloc(sizeof(*pi
), GFP_KERNEL
);
291 *error
= "historical-service-time ps: Error allocating path context";
296 pi
->repeat_count
= repeat_count
;
298 pi
->historical_service_time
= HST_FIXED_1
;
300 spin_lock_init(&pi
->lock
);
306 path
->pscontext
= pi
;
308 spin_lock_irqsave(&s
->lock
, flags
);
309 list_add_tail(&pi
->list
, &s
->valid_paths
);
311 spin_unlock_irqrestore(&s
->lock
, flags
);
316 static void hst_fail_path(struct path_selector
*ps
, struct dm_path
*path
)
318 struct selector
*s
= ps
->context
;
319 struct path_info
*pi
= path
->pscontext
;
322 spin_lock_irqsave(&s
->lock
, flags
);
323 list_move(&pi
->list
, &s
->failed_paths
);
325 spin_unlock_irqrestore(&s
->lock
, flags
);
328 static int hst_reinstate_path(struct path_selector
*ps
, struct dm_path
*path
)
330 struct selector
*s
= ps
->context
;
331 struct path_info
*pi
= path
->pscontext
;
334 spin_lock_irqsave(&s
->lock
, flags
);
335 list_move_tail(&pi
->list
, &s
->valid_paths
);
337 spin_unlock_irqrestore(&s
->lock
, flags
);
342 static void hst_fill_compare(struct path_info
*pi
, u64
*hst
,
343 u64
*out
, u64
*stale
)
347 spin_lock_irqsave(&pi
->lock
, flags
);
348 *hst
= pi
->historical_service_time
;
349 *out
= pi
->outstanding
;
350 *stale
= pi
->stale_after
;
351 spin_unlock_irqrestore(&pi
->lock
, flags
);
355 * Compare the estimated service time of 2 paths, pi1 and pi2,
356 * for the incoming I/O.
359 * < 0 : pi1 is better
360 * 0 : no difference between pi1 and pi2
361 * > 0 : pi2 is better
364 static long long hst_compare(struct path_info
*pi1
, struct path_info
*pi2
,
365 u64 time_now
, struct path_selector
*ps
)
367 struct selector
*s
= ps
->context
;
369 long long out1
, out2
, stale1
, stale2
;
370 int pi2_better
, over_threshold
;
372 hst_fill_compare(pi1
, &hst1
, &out1
, &stale1
);
373 hst_fill_compare(pi2
, &hst2
, &out2
, &stale2
);
375 /* Check here if estimated latency for two paths are too similar.
376 * If this is the case, we skip extra calculation and just compare
377 * outstanding requests. In this case, any unloaded paths will
381 over_threshold
= hst1
> (s
->threshold_multiplier
* hst2
);
383 over_threshold
= hst2
> (s
->threshold_multiplier
* hst1
);
389 * If an unloaded path is stale, choose it. If both paths are unloaded,
390 * choose path that is the most stale.
391 * (If one path is loaded, choose the other)
393 if ((!out1
&& stale1
< time_now
) || (!out2
&& stale2
< time_now
) ||
395 return (!out2
* stale1
) - (!out1
* stale2
);
397 /* Compare estimated service time. If outstanding is the same, we
398 * don't need to multiply
401 pi2_better
= hst1
> hst2
;
403 /* Potential overflow with out >= 1024 */
404 if (unlikely(out1
>= HST_MAX_INFLIGHT
||
405 out2
>= HST_MAX_INFLIGHT
)) {
406 /* If over 1023 in-flights, we may overflow if hst
407 * is at max. (With this shift we still overflow at
408 * 1048576 in-flights, which is high enough).
410 hst1
>>= HST_FIXED_SHIFT
;
411 hst2
>>= HST_FIXED_SHIFT
;
413 pi2_better
= (1 + out1
) * hst1
> (1 + out2
) * hst2
;
416 /* In the case that the 'winner' is stale, limit to equal usage. */
418 if (stale2
< time_now
)
422 if (stale1
< time_now
)
427 static struct dm_path
*hst_select_path(struct path_selector
*ps
,
430 struct selector
*s
= ps
->context
;
431 struct path_info
*pi
= NULL
, *best
= NULL
;
432 u64 time_now
= sched_clock();
433 struct dm_path
*ret
= NULL
;
436 spin_lock_irqsave(&s
->lock
, flags
);
437 if (list_empty(&s
->valid_paths
))
440 list_for_each_entry(pi
, &s
->valid_paths
, list
) {
441 if (!best
|| (hst_compare(pi
, best
, time_now
, ps
) < 0))
448 /* Move last used path to end (least preferred in case of ties) */
449 list_move_tail(&best
->list
, &s
->valid_paths
);
454 spin_unlock_irqrestore(&s
->lock
, flags
);
458 static int hst_start_io(struct path_selector
*ps
, struct dm_path
*path
,
461 struct path_info
*pi
= path
->pscontext
;
464 spin_lock_irqsave(&pi
->lock
, flags
);
466 spin_unlock_irqrestore(&pi
->lock
, flags
);
471 static u64
path_service_time(struct path_info
*pi
, u64 start_time
)
473 u64 sched_now
= ktime_get_ns();
475 /* if a previous disk request has finished after this IO was
476 * sent to the hardware, pretend the submission happened
479 if (time_after64(pi
->last_finish
, start_time
))
480 start_time
= pi
->last_finish
;
482 pi
->last_finish
= sched_now
;
483 if (time_before64(sched_now
, start_time
))
486 return sched_now
- start_time
;
489 static int hst_end_io(struct path_selector
*ps
, struct dm_path
*path
,
490 size_t nr_bytes
, u64 start_time
)
492 struct path_info
*pi
= path
->pscontext
;
493 struct selector
*s
= ps
->context
;
497 spin_lock_irqsave(&pi
->lock
, flags
);
499 st
= path_service_time(pi
, start_time
);
501 pi
->historical_service_time
=
502 fixed_ema(pi
->historical_service_time
,
503 min(st
* HST_FIXED_1
, HST_FIXED_MAX
),
507 * On request end, mark path as fresh. If a path hasn't
508 * finished any requests within the fresh period, the estimated
509 * service time is considered too optimistic and we limit the
510 * maximum requests on that path.
512 pi
->stale_after
= pi
->last_finish
+
513 (s
->valid_count
* (pi
->historical_service_time
>> HST_FIXED_SHIFT
));
515 spin_unlock_irqrestore(&pi
->lock
, flags
);
520 static struct path_selector_type hst_ps
= {
521 .name
= "historical-service-time",
522 .module
= THIS_MODULE
,
525 .create
= hst_create
,
526 .destroy
= hst_destroy
,
527 .status
= hst_status
,
528 .add_path
= hst_add_path
,
529 .fail_path
= hst_fail_path
,
530 .reinstate_path
= hst_reinstate_path
,
531 .select_path
= hst_select_path
,
532 .start_io
= hst_start_io
,
533 .end_io
= hst_end_io
,
536 static int __init
dm_hst_init(void)
538 int r
= dm_register_path_selector(&hst_ps
);
541 DMERR("register failed %d", r
);
543 DMINFO("version " HST_VERSION
" loaded");
548 static void __exit
dm_hst_exit(void)
550 int r
= dm_unregister_path_selector(&hst_ps
);
553 DMERR("unregister failed %d", r
);
556 module_init(dm_hst_init
);
557 module_exit(dm_hst_exit
);
559 MODULE_DESCRIPTION(DM_NAME
" measured service time oriented path selector");
560 MODULE_AUTHOR("Khazhismel Kumykov <khazhy@google.com>");
561 MODULE_LICENSE("GPL");