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sched/fair: Optimize sum computation with a lookup table
__compute_runnable_contrib() uses a loop to compute sum, whereas a table lookup can do it faster in a constant amount of time. The program to generate the constants is located at: Documentation/scheduler/sched-avg.txt Signed-off-by: Yuyang Du <yuyang.du@intel.com> Signed-off-by: Peter Zijlstra (Intel) <peterz@infradead.org> Reviewed-by: Morten Rasmussen <morten.rasmussen@arm.com> Acked-by: Vincent Guittot <vincent.guittot@linaro.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: bsegall@google.com Cc: dietmar.eggemann@arm.com Cc: juri.lelli@arm.com Cc: pjt@google.com Link: http://lkml.kernel.org/r/1462226078-31904-2-git-send-email-yuyang.du@intel.com Signed-off-by: Ingo Molnar <mingo@kernel.org>
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@ -2602,6 +2602,16 @@ static const u32 runnable_avg_yN_sum[] = {
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17718,18340,18949,19545,20128,20698,21256,21802,22336,22859,23371,
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17718,18340,18949,19545,20128,20698,21256,21802,22336,22859,23371,
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};
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};
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/*
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* Precomputed \Sum y^k { 1<=k<=n, where n%32=0). Values are rolled down to
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* lower integers. See Documentation/scheduler/sched-avg.txt how these
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* were generated:
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*/
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static const u32 __accumulated_sum_N32[] = {
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0, 23371, 35056, 40899, 43820, 45281,
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46011, 46376, 46559, 46650, 46696, 46719,
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};
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/*
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/*
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* Approximate:
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* Approximate:
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* val * y^n, where y^32 ~= 0.5 (~1 scheduling period)
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* val * y^n, where y^32 ~= 0.5 (~1 scheduling period)
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@ -2650,14 +2660,9 @@ static u32 __compute_runnable_contrib(u64 n)
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else if (unlikely(n >= LOAD_AVG_MAX_N))
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else if (unlikely(n >= LOAD_AVG_MAX_N))
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return LOAD_AVG_MAX;
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return LOAD_AVG_MAX;
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/* Compute \Sum k^n combining precomputed values for k^i, \Sum k^j */
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/* Since n < LOAD_AVG_MAX_N, n/LOAD_AVG_PERIOD < 11 */
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do {
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contrib = __accumulated_sum_N32[n/LOAD_AVG_PERIOD];
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contrib /= 2; /* y^LOAD_AVG_PERIOD = 1/2 */
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n %= LOAD_AVG_PERIOD;
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contrib += runnable_avg_yN_sum[LOAD_AVG_PERIOD];
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n -= LOAD_AVG_PERIOD;
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} while (n > LOAD_AVG_PERIOD);
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contrib = decay_load(contrib, n);
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contrib = decay_load(contrib, n);
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return contrib + runnable_avg_yN_sum[n];
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return contrib + runnable_avg_yN_sum[n];
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}
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}
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