[PATCH 1/6] sched/fair: Optimize sum computation with a lookup table

From: Yuyang Du
Date: Thu Apr 28 2016 - 06:38:23 EST


__compute_runnable_contrib() uses a loop to compute sum, whereas a
table lookup can do it faster in a constant time.

The program to generate the constants is located at:
Documentation/scheduler/sched-avg.txt

Signed-off-by: Yuyang Du <yuyang.du@xxxxxxxxx>
Reviewed-by: Morten Rasmussen <morten.rasmussen@xxxxxxx>
Acked-by: Vincent Guittot <vincent.guittot@xxxxxxxxxx>
---
kernel/sched/fair.c | 20 ++++++++++++--------
1 file changed, 12 insertions(+), 8 deletions(-)

diff --git a/kernel/sched/fair.c b/kernel/sched/fair.c
index b8cc1c3..6e0eec0 100644
--- a/kernel/sched/fair.c
+++ b/kernel/sched/fair.c
@@ -2603,6 +2603,15 @@ static const u32 runnable_avg_yN_sum[] = {
};

/*
+ * Precomputed \Sum y^k { 1<=k<=n, where n%32=0). Values are rolled down to
+ * lower integers.
+ */
+static const u32 __accumulated_sum_N32[] = {
+ 0, 23371, 35056, 40899, 43820, 45281,
+ 46011, 46376, 46559, 46650, 46696, 46719,
+};
+
+/*
* Approximate:
* val * y^n, where y^32 ~= 0.5 (~1 scheduling period)
*/
@@ -2650,14 +2659,9 @@ static u32 __compute_runnable_contrib(u64 n)
else if (unlikely(n >= LOAD_AVG_MAX_N))
return LOAD_AVG_MAX;

- /* 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>>5]; /* =n/LOAD_AVG_PERIOD */
+ n %= LOAD_AVG_PERIOD;
contrib = decay_load(contrib, n);
return contrib + runnable_avg_yN_sum[n];
}
--
1.7.9.5