Re: [PATCH] Add generic exponentially weighted moving averagefunction

From: Randy Dunlap
Date: Tue Oct 12 2010 - 20:36:17 EST


On Wed, 06 Oct 2010 18:32:25 +0900 Bruno Randolf wrote:

> This adds a generic exponentially weighted moving average function. This
> implementation makes use of a structure which keeps a scaled up internal
> representation to reduce rounding errors.
>
> The idea for this implementation comes from the rt2x00 driver (rt2x00link.c)
> and i would like to use it in several places in the mac80211 and ath5k code.
>
> Signed-off-by: Bruno Randolf <br1@xxxxxxxxxxx>

I guess I don't understand "exponentially weighted" or why that would
be desirable. Please try to explain (briefly).

I'm attaching a test program that I did. I don't especially like the
results of it. Maybe it's due to the exponential weighting. (?)

The test program tells me that the sum of 3 samples is 8 & average = 2:
i.e., not rounded up.

And that the sum of 6 samples is 30 & average = 4. (!!)
And that the sum of 10 samples is 80 & average = 5. (!!)

Am I just not understanding the function or am I misusing it?


Complete test program output:

> ./moving-avg
count: 1, val: 1, sum: 1, avg: 1, internal: 1000
count: 2, val: 3, sum: 4, avg: 2, internal: 2000
count: 3, val: 4, sum: 8, avg: 2, internal: 2666
count: 4, val: 6, sum: 14, avg: 3, internal: 3499
count: 5, val: 7, sum: 21, avg: 4, internal: 4199
count: 6, val: 9, sum: 30, avg: 4, internal: 4999
count: 7, val: 10, sum: 40, avg: 5, internal: 5713
count: 8, val: 12, sum: 52, avg: 6, internal: 6498
count: 9, val: 13, sum: 65, avg: 7, internal: 7220
count: 10, val: 15, sum: 80, avg: 7, internal: 7998
>


> --
> Is this the right place to add it? Who to CC:?

Try Andrew. (added)

>
> ---
> include/linux/average.h | 32 ++++++++++++++++++++++++++++++++
> 1 files changed, 32 insertions(+), 0 deletions(-)
> create mode 100644 include/linux/average.h
>
> diff --git a/include/linux/average.h b/include/linux/average.h
> new file mode 100644
> index 0000000..2a00d3d
> --- /dev/null
> +++ b/include/linux/average.h
> @@ -0,0 +1,32 @@
> +#ifndef _LINUX_AVERAGE_H
> +#define _LINUX_AVERAGE_H
> +
> +#define AVG_FACTOR 1000
> +
> +struct avg_val {
> + int value;
> + int internal;
> +};
> +
> +/**
> + * moving_average - Exponentially weighted moving average
> + * @avg: average structure
> + * @val: current value
> + * @samples: number of samples
> + *
> + * This implementation make use of a struct avg_val to prevent rounding
> + * errors.
> + */
> +static inline struct avg_val
> +moving_average(const struct avg_val avg, const int val, const int samples)
> +{
> + struct avg_val ret;
> + ret.internal = avg.internal ?
> + (((avg.internal * (samples - 1)) +
> + (val * AVG_FACTOR)) / samples) :
> + (val * AVG_FACTOR);
> + ret.value = ret.internal / AVG_FACTOR;
> + return ret;
> +}
> +
> +#endif /* _LINUX_AVERAGE_H */
>
> --


---
~Randy
*** Remember to use Documentation/SubmitChecklist when testing your code ***
#if 0
This adds a generic exponentially weighted moving average function. This
implementation makes use of a structure which keeps a scaled up internal
representation to reduce rounding errors.

The idea for this implementation comes from the rt2x00 driver (rt2x00link.c)
and i would like to use it in several places in the mac80211 and ath5k code.
#endif

#ifndef _LINUX_AVERAGE_H
#define _LINUX_AVERAGE_H

#define AVG_FACTOR 1000

struct avg_val {
int value;
int internal;
};

/**
* moving_average - Exponentially weighted moving average
* @avg: average structure
* @val: current value
* @samples: number of samples
*
* This implementation make use of a struct avg_val to prevent rounding
* errors.
*/
static inline struct avg_val
moving_average(const struct avg_val avg, const int val, const int samples)
{
struct avg_val ret;
ret.internal = avg.internal ?
(((avg.internal * (samples - 1)) +
(val * AVG_FACTOR)) / samples) :
(val * AVG_FACTOR);
ret.value = ret.internal / AVG_FACTOR;
return ret;
}

#endif /* _LINUX_AVERAGE_H */


#include <stdio.h>

int main(int argc, char *argv[])
{
struct avg_val avg = {};
int count;
int val;
int sum = 0;

for (count = 1; count <= 10; count++) {
val = count + count/2;
sum += val;
avg = moving_average(avg, val, count);
printf("count: %d, val: %d, sum: %d, avg: %d, internal: %d\n",
count, val, sum, avg.value, avg.internal);
}

return 0;
}