Re: [PATCH] bcache: implement PI controller for writeback rate

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On 2017/9/7 下午11:29, Michael Lyle wrote:
> Coly--
> 
> Sure.  I have some plots at http://jar.lyle.org/~mlyle/ctr/ -- they
> show the response of the controller to a step (increase from 0 to 1000
> sectors/second of IO), and to an impulse (a single unexpected 100,000
> sectors of dirty data) showing up.
> 
> If anything, this controller is quicker to "turn off writes" and
> remove workload from the backing disks than the previous one (though
> how much it flushes when "idle" is configurable, now).  I would often
> see the old controller continue writing back data long after the
> workload was removed, or oscillate between writing large amounts and
> doing very little.
> 
> It's important to note that the old controller claims to be a PD
> controller, but it is actually a PI controller-- the output from the
> PD controller was accumulated, which has the effect of numerically
> integrating everything.  It is a very strange PI controller, too-- not
> formulated in any of the "normal" ways that control systems are built.
> 
> Looking at the plots, there's a few different things to consider/look
> at.  The first is how quickly the controller arrests a positive trend
> after a step.  With default tuning, this is about 75 seconds.  Next,
> is how well the value converges to the set point-- this is relatively
> quick in both the step and impulse analyses.  Finally, the amount of
> negative-going overshoot-- how much it writes "past" the setpoint is
> important.  For an impulse, the current tuning overshoots about 10%--
> if the system is at the target, and you dirty 100MB of the cache, it
> will write back about 110MB.
> 
> The existing system writes **much further** past the setpoint because
> it is only able to start really reducing the write rate when the
> target amount of dirty data is reached.
> 

Hi Mike,

Thank you for the informative reply. I add this patch to my for-test
patch pool. My submit for 4.14 is done, I hope we can try best to make
it in 4.15.

Coly Li

> 
> On Wed, Sep 6, 2017 at 10:27 PM, Coly Li <i@xxxxxxx> wrote:
>> On 2017/9/7 上午9:54, Michael Lyle wrote:
>>> Hey everyone---
>>>
>>> I'd appreciate any feedback you all can lend on this changeset.  I
>>> know it's a bit of an awkward time with the opening of the merge
>>> window to have a new functional change show up.  I also would
>>> appreciate any comments on process / how to go about submitting work,
>>> as I have not been active in the Linux kernel community in quite some
>>> time.
>>>
>>> This change makes a pretty substantial difference in the smoothness of
>>> IO rates on my cached VM environment.  I see a couple of problems with
>>> further review: I have an incorrect comment about the default p term
>>> value, and there is a small bit of conflict with the patches that have
>>> just gone out.  I can fix both of these quickly in a subsequent
>>> revision.
>>>
>>> It's also helpful for intermittent workloads to be able to write at a
>>> somewhat higher rate out to disk.  Spending a few percent of disk
>>> bandwidth on flushing dirty data-- to leave room to deal with new
>>> bursts of workload-- is very helpful.
>>
>> Hi Michael,
>>
>> One thing I care about is I/O latency of regular read/write requests.
>> For current PD controller, I observe the writeback rate can decrease
>> very fast to 1 sector/second to give almost all bandwidth to frond end
>> I/O requests. This behavior is good for data base users.
>>
>> For this PI controller, I need to do more testing, and observe how it
>> works and behaves with different work loads. Before I am confident with
>> it for most of workloads I know, I am not able to response you very
>> fast. It will take time.
>>
>> If you may provide more performance data (e.g. requests latency
>> distribution) comparing to current PD controller, that will be very
>> helpful for people to response this patch. For now, I need to understand
>> and test this patch.
>>
>> Thanks.
>>
>> Coly Li
>>
>>>
>>>
>>> On Wed, Sep 6, 2017 at 12:56 AM, Michael Lyle <mlyle@xxxxxxxx> wrote:
>>>> bcache uses a control system to attempt to keep the amount of dirty data
>>>> in cache at a user-configured level, while not responding excessively to
>>>> transients and variations in write rate.  Previously, the system was a
>>>> PD controller; but the output from it was integrated, turning the
>>>> Proportional term into an Integral term, and turning the Derivative term
>>>> into a crude Proportional term.  Performance of the controller has been
>>>> uneven in production, and it has tended to respond slowly, oscillate,
>>>> and overshoot.
>>>>
>>>> This patch set replaces the current control system with an explicit PI
>>>> controller and tuning that should be correct for most hardware.  By
>>>> default, it attempts to write at a rate that would retire 1/40th of the
>>>> current excess blocks per second.  An integral term in turn works to
>>>> remove steady state errors.
>>>>
>>>> IMO, this yields benefits in simplicity (removing weighted average
>>>> filtering, etc) and system performance.
>>>>
>>>> Another small change is a tunable parameter is introduced to allow the
>>>> user to specify a minimum rate at which dirty blocks are retired.
>>>> Ideally one would set this writeback_rate_minimum to a small percentage
>>>> of disk bandwidth, allowing the dirty data to be slowly cleaned out when
>>>> the system is inactive.  The old behavior would try and retire 1
>>>> sector/second, and the new default is 5 sectors/second.
>>>>
>>>> Signed-off-by: Michael Lyle <mlyle@xxxxxxxx>
>>>> ---
>>>>  drivers/md/bcache/bcache.h    |  9 +++--
>>>>  drivers/md/bcache/sysfs.c     | 19 +++++-----
>>>>  drivers/md/bcache/writeback.c | 84 +++++++++++++++++++++++--------------------
>>>>  3 files changed, 60 insertions(+), 52 deletions(-)
>>>>
>>>> diff --git a/drivers/md/bcache/bcache.h b/drivers/md/bcache/bcache.h
>>>> index dee542fff68e..f1cdf92e7399 100644
>>>> --- a/drivers/md/bcache/bcache.h
>>>> +++ b/drivers/md/bcache/bcache.h
>>>> @@ -265,9 +265,6 @@ struct bcache_device {
>>>>         atomic_t                *stripe_sectors_dirty;
>>>>         unsigned long           *full_dirty_stripes;
>>>>
>>>> -       unsigned long           sectors_dirty_last;
>>>> -       long                    sectors_dirty_derivative;
>>>> -
>>>>         struct bio_set          *bio_split;
>>>>
>>>>         unsigned                data_csum:1;
>>>> @@ -361,12 +358,14 @@ struct cached_dev {
>>>>
>>>>         uint64_t                writeback_rate_target;
>>>>         int64_t                 writeback_rate_proportional;
>>>> -       int64_t                 writeback_rate_derivative;
>>>> +       int64_t                 writeback_rate_integral;
>>>> +       int64_t                 writeback_rate_integral_scaled;
>>>>         int64_t                 writeback_rate_change;
>>>>
>>>>         unsigned                writeback_rate_update_seconds;
>>>> -       unsigned                writeback_rate_d_term;
>>>> +       unsigned                writeback_rate_i_term_inverse;
>>>>         unsigned                writeback_rate_p_term_inverse;
>>>> +       unsigned                writeback_rate_minimum;
>>>>  };
>>>>
>>>>  enum alloc_reserve {
>>>> diff --git a/drivers/md/bcache/sysfs.c b/drivers/md/bcache/sysfs.c
>>>> index f90f13616980..66a716d5f111 100644
>>>> --- a/drivers/md/bcache/sysfs.c
>>>> +++ b/drivers/md/bcache/sysfs.c
>>>> @@ -81,8 +81,9 @@ rw_attribute(writeback_delay);
>>>>  rw_attribute(writeback_rate);
>>>>
>>>>  rw_attribute(writeback_rate_update_seconds);
>>>> -rw_attribute(writeback_rate_d_term);
>>>> +rw_attribute(writeback_rate_i_term_inverse);
>>>>  rw_attribute(writeback_rate_p_term_inverse);
>>>> +rw_attribute(writeback_rate_minimum);
>>>>  read_attribute(writeback_rate_debug);
>>>>
>>>>  read_attribute(stripe_size);
>>>> @@ -130,15 +131,16 @@ SHOW(__bch_cached_dev)
>>>>         sysfs_hprint(writeback_rate,    dc->writeback_rate.rate << 9);
>>>>
>>>>         var_print(writeback_rate_update_seconds);
>>>> -       var_print(writeback_rate_d_term);
>>>> +       var_print(writeback_rate_i_term_inverse);
>>>>         var_print(writeback_rate_p_term_inverse);
>>>> +       var_print(writeback_rate_minimum);
>>>>
>>>>         if (attr == &sysfs_writeback_rate_debug) {
>>>>                 char rate[20];
>>>>                 char dirty[20];
>>>>                 char target[20];
>>>>                 char proportional[20];
>>>> -               char derivative[20];
>>>> +               char integral[20];
>>>>                 char change[20];
>>>>                 s64 next_io;
>>>>
>>>> @@ -146,7 +148,7 @@ SHOW(__bch_cached_dev)
>>>>                 bch_hprint(dirty,       bcache_dev_sectors_dirty(&dc->disk) << 9);
>>>>                 bch_hprint(target,      dc->writeback_rate_target << 9);
>>>>                 bch_hprint(proportional,dc->writeback_rate_proportional << 9);
>>>> -               bch_hprint(derivative,  dc->writeback_rate_derivative << 9);
>>>> +               bch_hprint(integral,    dc->writeback_rate_integral_scaled << 9);
>>>>                 bch_hprint(change,      dc->writeback_rate_change << 9);
>>>>
>>>>                 next_io = div64_s64(dc->writeback_rate.next - local_clock(),
>>>> @@ -157,11 +159,11 @@ SHOW(__bch_cached_dev)
>>>>                                "dirty:\t\t%s\n"
>>>>                                "target:\t\t%s\n"
>>>>                                "proportional:\t%s\n"
>>>> -                              "derivative:\t%s\n"
>>>> +                              "integral:\t%s\n"
>>>>                                "change:\t\t%s/sec\n"
>>>>                                "next io:\t%llims\n",
>>>>                                rate, dirty, target, proportional,
>>>> -                              derivative, change, next_io);
>>>> +                              integral, change, next_io);
>>>>         }
>>>>
>>>>         sysfs_hprint(dirty_data,
>>>> @@ -213,7 +215,7 @@ STORE(__cached_dev)
>>>>                             dc->writeback_rate.rate, 1, INT_MAX);
>>>>
>>>>         d_strtoul_nonzero(writeback_rate_update_seconds);
>>>> -       d_strtoul(writeback_rate_d_term);
>>>> +       d_strtoul(writeback_rate_i_term_inverse);
>>>>         d_strtoul_nonzero(writeback_rate_p_term_inverse);
>>>>
>>>>         d_strtoi_h(sequential_cutoff);
>>>> @@ -319,8 +321,9 @@ static struct attribute *bch_cached_dev_files[] = {
>>>>         &sysfs_writeback_percent,
>>>>         &sysfs_writeback_rate,
>>>>         &sysfs_writeback_rate_update_seconds,
>>>> -       &sysfs_writeback_rate_d_term,
>>>> +       &sysfs_writeback_rate_i_term_inverse,
>>>>         &sysfs_writeback_rate_p_term_inverse,
>>>> +       &sysfs_writeback_rate_minimum,
>>>>         &sysfs_writeback_rate_debug,
>>>>         &sysfs_dirty_data,
>>>>         &sysfs_stripe_size,
>>>> diff --git a/drivers/md/bcache/writeback.c b/drivers/md/bcache/writeback.c
>>>> index 42c66e76f05e..76e71e8ef356 100644
>>>> --- a/drivers/md/bcache/writeback.c
>>>> +++ b/drivers/md/bcache/writeback.c
>>>> @@ -24,48 +24,55 @@ static void __update_writeback_rate(struct cached_dev *dc)
>>>>         uint64_t cache_sectors = c->nbuckets * c->sb.bucket_size;
>>>>         uint64_t cache_dirty_target =
>>>>                 div_u64(cache_sectors * dc->writeback_percent, 100);
>>>> -
>>>>         int64_t target = div64_u64(cache_dirty_target * bdev_sectors(dc->bdev),
>>>>                                    c->cached_dev_sectors);
>>>>
>>>> -       /* PD controller */
>>>> -
>>>> +       /* PI controller:
>>>> +        * Figures out the amount that should be written per second.
>>>> +        *
>>>> +        * First, the error (number of sectors that are dirty beyond our
>>>> +        * target) is calculated.  The error is accumulated (numerically
>>>> +        * integrated).
>>>> +        *
>>>> +        * Then, the proportional value and integral value are scaled
>>>> +        * based on configured values.  These are stored as inverses to
>>>> +        * avoid fixed point math and to make configuration easy-- e.g.
>>>> +        * the default value of 100 for writeback_rate_p_term_inverse
>>>> +        * attempts to write at a rate that would retire all the dirty
>>>> +        * blocks in 100 seconds.
>>>> +        */
>>>>         int64_t dirty = bcache_dev_sectors_dirty(&dc->disk);
>>>> -       int64_t derivative = dirty - dc->disk.sectors_dirty_last;
>>>> -       int64_t proportional = dirty - target;
>>>> -       int64_t change;
>>>> -
>>>> -       dc->disk.sectors_dirty_last = dirty;
>>>> -
>>>> -       /* Scale to sectors per second */
>>>> -
>>>> -       proportional *= dc->writeback_rate_update_seconds;
>>>> -       proportional = div_s64(proportional, dc->writeback_rate_p_term_inverse);
>>>> -
>>>> -       derivative = div_s64(derivative, dc->writeback_rate_update_seconds);
>>>> -
>>>> -       derivative = ewma_add(dc->disk.sectors_dirty_derivative, derivative,
>>>> -                             (dc->writeback_rate_d_term /
>>>> -                              dc->writeback_rate_update_seconds) ?: 1, 0);
>>>> -
>>>> -       derivative *= dc->writeback_rate_d_term;
>>>> -       derivative = div_s64(derivative, dc->writeback_rate_p_term_inverse);
>>>> -
>>>> -       change = proportional + derivative;
>>>> +       int64_t error = dirty - target;
>>>> +       int64_t proportional_scaled =
>>>> +               div_s64(error, dc->writeback_rate_p_term_inverse);
>>>> +       int64_t integral_scaled, new_rate;
>>>> +
>>>> +       if ((error < 0 && dc->writeback_rate_integral > 0) ||
>>>> +           (error > 0 && time_before64(local_clock(),
>>>> +                        dc->writeback_rate.next + NSEC_PER_MSEC))) {
>>>> +               /* Only decrease the integral term if it's more than
>>>> +                * zero.  Only increase the integral term if the device
>>>> +                * is keeping up.  (Don't wind up the integral
>>>> +                * ineffectively in either case).
>>>> +                *
>>>> +                * It's necessary to scale this by
>>>> +                * writeback_rate_update_seconds to keep the integral
>>>> +                * term dimensioned properly.
>>>> +                */
>>>> +               dc->writeback_rate_integral += error *
>>>> +                       dc->writeback_rate_update_seconds;
>>>> +       }
>>>>
>>>> -       /* Don't increase writeback rate if the device isn't keeping up */
>>>> -       if (change > 0 &&
>>>> -           time_after64(local_clock(),
>>>> -                        dc->writeback_rate.next + NSEC_PER_MSEC))
>>>> -               change = 0;
>>>> +       integral_scaled = div_s64(dc->writeback_rate_integral,
>>>> +                       dc->writeback_rate_i_term_inverse);
>>>>
>>>> -       dc->writeback_rate.rate =
>>>> -               clamp_t(int64_t, (int64_t) dc->writeback_rate.rate + change,
>>>> -                       1, NSEC_PER_MSEC);
>>>> +       new_rate = clamp_t(int64_t, (proportional_scaled + integral_scaled),
>>>> +                       dc->writeback_rate_minimum, NSEC_PER_MSEC);
>>>>
>>>> -       dc->writeback_rate_proportional = proportional;
>>>> -       dc->writeback_rate_derivative = derivative;
>>>> -       dc->writeback_rate_change = change;
>>>> +       dc->writeback_rate_proportional = proportional_scaled;
>>>> +       dc->writeback_rate_integral_scaled = integral_scaled;
>>>> +       dc->writeback_rate_change = new_rate - dc->writeback_rate.rate;
>>>> +       dc->writeback_rate.rate = new_rate;
>>>>         dc->writeback_rate_target = target;
>>>>  }
>>>>
>>>> @@ -491,8 +498,6 @@ void bch_sectors_dirty_init(struct cached_dev *dc)
>>>>
>>>>         bch_btree_map_keys(&op.op, dc->disk.c, &KEY(op.inode, 0, 0),
>>>>                            sectors_dirty_init_fn, 0);
>>>> -
>>>> -       dc->disk.sectors_dirty_last = bcache_dev_sectors_dirty(&dc->disk);
>>>>  }
>>>>
>>>>  void bch_cached_dev_writeback_init(struct cached_dev *dc)
>>>> @@ -506,10 +511,11 @@ void bch_cached_dev_writeback_init(struct cached_dev *dc)
>>>>         dc->writeback_percent           = 10;
>>>>         dc->writeback_delay             = 30;
>>>>         dc->writeback_rate.rate         = 1024;
>>>> +       dc->writeback_rate_minimum      = 5;
>>>>
>>>>         dc->writeback_rate_update_seconds = 5;
>>>> -       dc->writeback_rate_d_term       = 30;
>>>> -       dc->writeback_rate_p_term_inverse = 6000;
>>>> +       dc->writeback_rate_p_term_inverse = 40;
>>>> +       dc->writeback_rate_i_term_inverse = 10000;
>>>>
>>>>         INIT_DELAYED_WORK(&dc->writeback_rate_update, update_writeback_rate);
>>>>  }
>>>> --
>>>> 2.11.0
>>>>
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