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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
arch Merge branch 'fixes' of git://git.armlinux.org.uk/~rmk/linux-arm 2017-04-09 09:05:25 -07:00
block blk-mq: Restart a single queue if tag sets are shared 2017-04-07 12:40:09 -06:00
certs
crypto Merge branch 'linus' of git://git.kernel.org/pub/scm/linux/kernel/git/herbert/crypto-2.6 2017-03-31 12:11:32 -07:00
Documentation Driver core fixes for 4.11-rc6 2017-04-09 09:03:51 -07:00
drivers sched/core: Remove 'task' parameter and rename tsk_restore_flags() to current_restore_flags() 2017-04-11 09:06:32 +02:00
firmware
fs sched/core: Remove 'task' parameter and rename tsk_restore_flags() to current_restore_flags() 2017-04-11 09:06:32 +02:00
include sched/core: Remove 'task' parameter and rename tsk_restore_flags() to current_restore_flags() 2017-04-11 09:06:32 +02:00
init mm: move mm_percpu_wq initialization earlier 2017-03-31 17:13:30 -07:00
ipc Merge branch 'WIP.sched-core-for-linus' of git://git.kernel.org/pub/scm/linux/kernel/git/tip/tip 2017-03-03 10:16:38 -08:00
kernel sched/fair: Fix corner case in __accumulate_sum() 2017-04-14 10:26:34 +02:00
lib Merge branch 'core-urgent-for-linus' of git://git.kernel.org/pub/scm/linux/kernel/git/tip/tip 2017-04-02 09:18:59 -07:00
mm mm/mempolicy.c: fix error handling in set_mempolicy and mbind. 2017-04-08 10:57:55 -07:00
net sched/core: Remove 'task' parameter and rename tsk_restore_flags() to current_restore_flags() 2017-04-11 09:06:32 +02:00
samples statx: Include a mask for stx_attributes in struct statx 2017-04-03 01:06:00 -04:00
scripts Kbuild fixes for v4.11 2017-04-05 08:37:28 -07:00
security Merge branch 'WIP.sched-core-for-linus' of git://git.kernel.org/pub/scm/linux/kernel/git/tip/tip 2017-03-03 10:16:38 -08:00
sound ALSA: hda - fix a problem for lineout on a Dell AIO machine 2017-03-31 10:58:26 +02:00
tools powerpc fixes for 4.11 2017-04-08 11:06:12 -07:00
usr
virt KVM/ARM Fixes for v4.11-rc6 2017-04-05 16:27:47 +02:00
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Makefile Linux 4.11-rc6 2017-04-09 09:49:44 -07:00
README

Linux kernel
============

This file was moved to Documentation/admin-guide/README.rst

Please notice that there are several guides for kernel developers and users.
These guides can be rendered in a number of formats, like HTML and PDF.

In order to build the documentation, use ``make htmldocs`` or
``make pdfdocs``.

There are various text files in the Documentation/ subdirectory,
several of them using the Restructured Text markup notation.
See Documentation/00-INDEX for a list of what is contained in each file.

Please read the Documentation/process/changes.rst file, as it contains the
requirements for building and running the kernel, and information about
the problems which may result by upgrading your kernel.