---

yaml
---
r: 339075
b: refs/heads/master
c: 5b51f2f
h: refs/heads/master
i:
  339073: 3cfd846
  339071: 84317de
v: v3

[refs]

@@ -1,2 +1,2 @@
 ---
-refs/heads/master: f269ae0469fc882332bdfb5db15d3c1315fe2a10
+refs/heads/master: 5b51f2f80b3b906ce59bd4dce6eca3c7f34cb1b9

trunk/kernel/sched/fair.c

@@ -883,18 +883,93 @@ static inline void update_cfs_shares(struct cfs_rq *cfs_rq)
 #endif /* CONFIG_FAIR_GROUP_SCHED */
 
 #ifdef CONFIG_SMP
+/*
+ * We choose a half-life close to 1 scheduling period.
+ * Note: The tables below are dependent on this value.
+ */
+#define LOAD_AVG_PERIOD 32
+#define LOAD_AVG_MAX 47742 /* maximum possible load avg */
+#define LOAD_AVG_MAX_N 345 /* number of full periods to produce LOAD_MAX_AVG */
+
+/* Precomputed fixed inverse multiplies for multiplication by y^n */
+static const u32 runnable_avg_yN_inv[] = {
+	0xffffffff, 0xfa83b2da, 0xf5257d14, 0xefe4b99a, 0xeac0c6e6, 0xe5b906e6,
+	0xe0ccdeeb, 0xdbfbb796, 0xd744fcc9, 0xd2a81d91, 0xce248c14, 0xc9b9bd85,
+	0xc5672a10, 0xc12c4cc9, 0xbd08a39e, 0xb8fbaf46, 0xb504f333, 0xb123f581,
+	0xad583ee9, 0xa9a15ab4, 0xa5fed6a9, 0xa2704302, 0x9ef5325f, 0x9b8d39b9,
+	0x9837f050, 0x94f4efa8, 0x91c3d373, 0x8ea4398a, 0x8b95c1e3, 0x88980e80,
+	0x85aac367, 0x82cd8698,
+};
+
+/*
+ * Precomputed \Sum y^k { 1<=k<=n }.  These are floor(true_value) to prevent
+ * over-estimates when re-combining.
+ */
+static const u32 runnable_avg_yN_sum[] = {
+	    0, 1002, 1982, 2941, 3880, 4798, 5697, 6576, 7437, 8279, 9103,
+	 9909,10698,11470,12226,12966,13690,14398,15091,15769,16433,17082,
+	17718,18340,18949,19545,20128,20698,21256,21802,22336,22859,23371,
+};
+
 /*
  * Approximate:
  *   val * y^n,    where y^32 ~= 0.5 (~1 scheduling period)
  */
 static __always_inline u64 decay_load(u64 val, u64 n)
 {
-	for (; n && val; n--) {
-		val *= 4008;
-		val >>= 12;
+	unsigned int local_n;
+
+	if (!n)
+		return val;
+	else if (unlikely(n > LOAD_AVG_PERIOD * 63))
+		return 0;
+
+	/* after bounds checking we can collapse to 32-bit */
+	local_n = n;
+
+	/*
+	 * As y^PERIOD = 1/2, we can combine
+	 *    y^n = 1/2^(n/PERIOD) * k^(n%PERIOD)
+	 * With a look-up table which covers k^n (n<PERIOD)
+	 *
+	 * To achieve constant time decay_load.
+	 */
+	if (unlikely(local_n >= LOAD_AVG_PERIOD)) {
+		val >>= local_n / LOAD_AVG_PERIOD;
+		local_n %= LOAD_AVG_PERIOD;
 	}
 
-	return val;
+	val *= runnable_avg_yN_inv[local_n];
+	/* We don't use SRR here since we always want to round down. */
+	return val >> 32;
+}
+
+/*
+ * For updates fully spanning n periods, the contribution to runnable
+ * average will be: \Sum 1024*y^n
+ *
+ * We can compute this reasonably efficiently by combining:
+ *   y^PERIOD = 1/2 with precomputed \Sum 1024*y^n {for  n <PERIOD}
+ */
+static u32 __compute_runnable_contrib(u64 n)
+{
+	u32 contrib = 0;
+
+	if (likely(n <= LOAD_AVG_PERIOD))
+		return runnable_avg_yN_sum[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);
+
+	contrib = decay_load(contrib, n);
+	return contrib + runnable_avg_yN_sum[n];
 }
 
 /*
@@ -929,7 +1004,8 @@ static __always_inline int __update_entity_runnable_avg(u64 now,
 							struct sched_avg *sa,
 							int runnable)
 {
-	u64 delta;
+	u64 delta, periods;
+	u32 runnable_contrib;
 	int delta_w, decayed = 0;
 
 	delta = now - sa->last_runnable_update;
@@ -963,25 +1039,26 @@ static __always_inline int __update_entity_runnable_avg(u64 now,
 		 * period and accrue it.
 		 */
 		delta_w = 1024 - delta_w;
-		BUG_ON(delta_w > delta);
-		do {
-			if (runnable)
-				sa->runnable_avg_sum += delta_w;
-			sa->runnable_avg_period += delta_w;
-
-			/*
-			 * Remainder of delta initiates a new period, roll over
-			 * the previous.
-			 */
-			sa->runnable_avg_sum =
-				decay_load(sa->runnable_avg_sum, 1);
-			sa->runnable_avg_period =
-				decay_load(sa->runnable_avg_period, 1);
-
-			delta -= delta_w;
-			/* New period is empty */
-			delta_w = 1024;
-		} while (delta >= 1024);
+		if (runnable)
+			sa->runnable_avg_sum += delta_w;
+		sa->runnable_avg_period += delta_w;
+
+		delta -= delta_w;
+
+		/* Figure out how many additional periods this update spans */
+		periods = delta / 1024;
+		delta %= 1024;
+
+		sa->runnable_avg_sum = decay_load(sa->runnable_avg_sum,
+						  periods + 1);
+		sa->runnable_avg_period = decay_load(sa->runnable_avg_period,
+						     periods + 1);
+
+		/* Efficiently calculate \sum (1..n_period) 1024*y^i */
+		runnable_contrib = __compute_runnable_contrib(periods);
+		if (runnable)
+			sa->runnable_avg_sum += runnable_contrib;
+		sa->runnable_avg_period += runnable_contrib;
 	}
 
 	/* Remainder of delta accrued against u_0` */