linux/kernel/sched
Peter Zijlstra 05296e7535 sched/fair: Fix corner case in __accumulate_sum()
Paul noticed that in the (periods >= LOAD_AVG_MAX_N) case in
__accumulate_sum(), the returned contribution value (LOAD_AVG_MAX) is
incorrect.

This is because at this point, the decay_load() on the old state --
the first step in accumulate_sum() -- will not have resulted in 0, and
will therefore result in a sum larger than the maximum value of our
series. Obviously broken.

Note that:

	decay_load(LOAD_AVG_MAX, LOAD_AVG_MAX_N) =

                1   (345 / 32)
	47742 * - ^            = ~27
                2

Not to mention that any further contribution from the d3 segment (our
new period) would also push it over the maximum.

Solve this by noting that we can write our c2 term:

		    p
	c2 = 1024 \Sum y^n
		   n=1

In terms of our maximum value:

		    inf		      inf	  p
	max = 1024 \Sum y^n = 1024 ( \Sum y^n + \Sum y^n + y^0 )
		    n=0		      n=p+1	 n=1

Further note that:

           inf              inf            inf
        ( \Sum y^n ) y^p = \Sum y^(n+p) = \Sum y^n
           n=0              n=0            n=p

Combined that gives us:

		    p
	c2 = 1024 \Sum y^n
		   n=1

		     inf        inf
	   = 1024 ( \Sum y^n - \Sum y^n - y^0 )
		     n=0        n=p+1

	   = max - (max y^(p+1)) - 1024

Further simplify things by dealing with p=0 early on.

Reported-by: Paul Turner <pjt@google.com>
Signed-off-by: Peter Zijlstra (Intel) <peterz@infradead.org>
Cc: Linus Torvalds <torvalds@linux-foundation.org>
Cc: Mike Galbraith <efault@gmx.de>
Cc: Peter Zijlstra <peterz@infradead.org>
Cc: Thomas Gleixner <tglx@linutronix.de>
Cc: Yuyang Du <yuyang.du@intel.com>
Cc: linux-kernel@vger.kernel.org
Fixes: a481db34b9 ("sched/fair: Optimize ___update_sched_avg()")
Signed-off-by: Ingo Molnar <mingo@kernel.org>
2017-04-14 10:26:34 +02:00
..
autogroup.c sched/autogroup: Rename auto_group.[ch] to autogroup.[ch] 2017-02-08 09:01:11 +01:00
autogroup.h sched/headers: Prepare for new header dependencies before moving code to <linux/sched/autogroup.h> 2017-03-02 08:42:28 +01:00
clock.c sched/clock: Fix broken stable to unstable transfer 2017-03-27 10:23:48 +02:00
completion.c sched/headers: Prepare for new header dependencies before moving code to <linux/sched/debug.h> 2017-03-02 08:42:34 +01:00
core.c sched/core: Fix rq lock pinning warning after call balance callbacks 2017-03-23 07:44:51 +01:00
cpuacct.c sched/cputime: Convert kcpustat to nsecs 2017-02-01 09:13:47 +01:00
cpuacct.h sched/cpuacct: Simplify the cpuacct code 2016-03-21 11:00:28 +01:00
cpudeadline.c sched/core: Remove the tsk_cpus_allowed() wrapper 2017-03-02 08:42:24 +01:00
cpudeadline.h sched/deadline: Split cpudl_set() into cpudl_set() and cpudl_clear() 2016-09-05 13:29:43 +02:00
cpufreq_schedutil.c cpufreq: schedutil: Fix per-CPU structure initialization in sugov_start() 2017-03-21 01:03:08 +01:00
cpufreq.c cpufreq / sched: Pass flags to cpufreq_update_util() 2016-08-16 22:14:55 +02:00
cpupri.c sched/core: Remove the tsk_cpus_allowed() wrapper 2017-03-02 08:42:24 +01:00
cpupri.h sched/cpupri: Remove unnecessary definitions in cpupri.h 2014-11-16 10:58:59 +01:00
cputime.c sched/headers: Prepare to move cputime functionality from <linux/sched.h> into <linux/sched/cputime.h> 2017-03-02 08:42:39 +01:00
deadline.c sched/deadline: Use deadline instead of period when calculating overflow 2017-03-16 09:37:38 +01:00
debug.c sched/headers: Prepare to move the task_lock()/unlock() APIs to <linux/sched/task.h> 2017-03-02 08:42:38 +01:00
fair.c sched/fair: Fix corner case in __accumulate_sum() 2017-04-14 10:26:34 +02:00
features.h sched/core: Add WARNING for multiple update_rq_clock() calls 2017-03-16 09:46:21 +01:00
idle_task.c sched/core: Add wrappers for lockdep_(un)pin_lock() 2017-01-14 11:29:30 +01:00
idle.c sched/headers: Prepare for new header dependencies before moving code to <linux/sched/idle.h> 2017-03-02 08:42:26 +01:00
loadavg.c sched/loadavg: Use {READ,WRITE}_ONCE() for sample window 2017-03-16 09:21:01 +01:00
Makefile sched/autogroup: Rename auto_group.[ch] to autogroup.[ch] 2017-02-08 09:01:11 +01:00
rt.c sched/rt: Add comments describing the RT IPI pull method 2017-03-16 09:41:35 +01:00
sched.h sched/core: Add {EN,DE}QUEUE_NOCLOCK flags 2017-03-16 09:46:23 +01:00
stats.c sched: use %*pb[l] to print bitmaps including cpumasks and nodemasks 2015-02-13 21:21:37 -08:00
stats.h sched/headers: Move cputime functionality from <linux/sched.h> and <linux/cputime.h> into <linux/sched/cputime.h> 2017-03-03 01:45:22 +01:00
stop_task.c sched/core: Add wrappers for lockdep_(un)pin_lock() 2017-01-14 11:29:30 +01:00
swait.c sched/headers: Prepare to move signal wakeup & sigpending methods from <linux/sched.h> into <linux/sched/signal.h> 2017-03-02 08:42:32 +01:00
topology.c sched/topology: Split out scheduler topology code from core.c into topology.c 2017-02-07 10:58:12 +01:00
wait.c sched/headers: fix up header file dependency on <linux/sched/signal.h> 2017-03-08 10:36:03 -08:00