sched/fair: Optimize ___update_sched_avg()
The main PELT function ___update_load_avg(), which implements the
accumulation and progression of the geometric average series, is
implemented along the following lines for the scenario where the time
delta spans all 3 possible sections (see figure below):
1. add the remainder of the last incomplete period
2. decay old sum
3. accumulate new sum in full periods since last_update_time
4. accumulate the current incomplete period
5. update averages
Or:
d1 d2 d3
^ ^ ^
| | |
|<->|<----------------->|<--->|
... |---x---|------| ... |------|-----x (now)
load_sum' = (load_sum + weight * scale * d1) * y^(p+1) + (1,2)
p
weight * scale * 1024 * \Sum y^n + (3)
n=1
weight * scale * d3 * y^0 (4)
load_avg' = load_sum' / LOAD_AVG_MAX (5)
Where:
d1 - is the delta part completing the remainder of the last
incomplete period,
d2 - is the delta part spannind complete periods, and
d3 - is the delta part starting the current incomplete period.
We can simplify the code in two steps; the first step is to separate
the first term into new and old parts like:
(load_sum + weight * scale * d1) * y^(p+1) = load_sum * y^(p+1) +
weight * scale * d1 * y^(p+1)
Once we've done that, its easy to see that all new terms carry the
common factors:
weight * scale
If we factor those out, we arrive at the form:
load_sum' = load_sum * y^(p+1) +
weight * scale * (d1 * y^(p+1) +
p
1024 * \Sum y^n +
n=1
d3 * y^0)
Which results in a simpler, smaller and faster implementation.
Signed-off-by: Yuyang Du <yuyang.du@intel.com>
Signed-off-by: Peter Zijlstra (Intel) <peterz@infradead.org>
Cc: Linus Torvalds <torvalds@linux-foundation.org>
Cc: Peter Zijlstra <peterz@infradead.org>
Cc: Thomas Gleixner <tglx@linutronix.de>
Cc: bsegall@google.com
Cc: dietmar.eggemann@arm.com
Cc: matt@codeblueprint.co.uk
Cc: morten.rasmussen@arm.com
Cc: pjt@google.com
Cc: umgwanakikbuti@gmail.com
Cc: vincent.guittot@linaro.org
Link: http://lkml.kernel.org/r/1486935863-25251-3-git-send-email-yuyang.du@intel.com
Signed-off-by: Ingo Molnar <mingo@kernel.org>
1 file changed