Re: [PATCH] lib/int_sqrt.c: optimize for small argument values

From: Kees Cook
Date: Thu Oct 19 2017 - 16:42:11 EST


On Thu, Oct 19, 2017 at 1:31 PM, Michael Davidson <md@xxxxxxxxxx> wrote:
> int_sqrt() currently takes approximately constant time
> regardless of the value of the argument. By using the
> magnitude of the operand to set the initial conditions
> for the calculation the cost becomes proportional to
> log2 of the argument with the worst case behavior not
> being measurably slower than it currently is.

Maybe a stupid question, but is this function ultimately used by any
crypto that expects it to be constant-time for safety?

Also, is there a specific workload that is meaningfully sped up by this change?

-Kees

>
> Signed-off-by: Michael Davidson <md@xxxxxxxxxx>
> ---
> lib/int_sqrt.c | 2 +-
> 1 file changed, 1 insertion(+), 1 deletion(-)
>
> diff --git a/lib/int_sqrt.c b/lib/int_sqrt.c
> index 1ef4cc344977..8394b0dcecd4 100644
> --- a/lib/int_sqrt.c
> +++ b/lib/int_sqrt.c
> @@ -21,7 +21,7 @@ unsigned long int_sqrt(unsigned long x)
> if (x <= 1)
> return x;
>
> - m = 1UL << (BITS_PER_LONG - 2);
> + m = 1UL << (__fls(x) & ~1UL);
> while (m != 0) {
> b = y + m;
> y >>= 1;
> --
> 2.15.0.rc1.287.g2b38de12cc-goog
>



--
Kees Cook
Pixel Security