linux-kernel - Re: [PATCH] sched/fair: Optimize sum computation with a lookup table

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Date:	Fri, 8 Apr 2016 12:45:42 +0200
From:	Peter Zijlstra <peterz@...radead.org>
To:	Yuyang Du <yuyang.du@...el.com>
Cc:	mingo@...nel.org, linux-kernel@...r.kernel.org, bsegall@...gle.com,
	pjt@...gle.com, morten.rasmussen@....com,
	vincent.guittot@...aro.org, dietmar.eggemann@....com
Subject: Re: [PATCH] sched/fair: Optimize sum computation with a lookup table

On Fri, Apr 08, 2016 at 12:44:32PM +0200, Peter Zijlstra wrote:
> On Fri, Apr 08, 2016 at 10:07:20AM +0800, Yuyang Du wrote:
> > __compute_runnable_contrib() uses a loop to compute sum, whereas a
> > table loopup can do it faster in a constant time.
> 
> > -	/* Compute \Sum k^n combining precomputed values for k^i, \Sum k^j */
> > -	do {
> > -		contrib /= 2; /* y^LOAD_AVG_PERIOD = 1/2 */
> > -		contrib += runnable_avg_yN_sum[LOAD_AVG_PERIOD];
> > -
> > -		n -= LOAD_AVG_PERIOD;
> > -	} while (n > LOAD_AVG_PERIOD);
> > -
> > +	/* Since n < LOAD_AVG_MAX_N, n/LOAD_AVG_PERIOD < 11 */
> > +	contrib = __accumulated_sum_N32[n/LOAD_AVG_PERIOD];
> > +	n %= LOAD_AVG_PERIOD;
> >  	contrib = decay_load(contrib, n);
> >  	return contrib + runnable_avg_yN_sum[n];
> 
> You replace a simple loop with a DIV instruction and a potential extra
> cachemiss.

Duh, LOAD_AVG_PERIOD is 32, that's a simple shift.