On Thu, Dec 13, 2007 at 05:13:19PM -0800, H. Peter Anvin wrote:
> When the conversion factor between jiffies and milli- or microseconds
> is not a single multiply or divide, as for the case of HZ == 300, we
> currently do a multiply followed by a divide. The intervening
> result, however, is subject to overflows, especially since the
> fraction is not simplified (for HZ == 300, we multiply by 300 and
> divide by 1000).
>
> This is exposed to the user when passing a large timeout to poll(),
> for example.
>
> This patch replaces the multiply-divide with a reciprocal
> multiplication on 32-bit platforms. When the input is an unsigned
> long, there is no portable way to do this on 64-bit platforms there is
> no portable way to do this since it requires a 128-bit intermediate
> result (which gcc does support on 64-bit platforms but may generate
> libgcc calls, e.g. on 64-bit s390), but since the output is a 32-bit
> integer in the cases affected, just simplify the multiply-divide
> (*3/10 instead of *300/1000).
>
> The reciprocal multiply used can have off-by-one errors in the upper
> half of the valid output range. This could be avoided at the expense
> of having to deal with a potential 65-bit intermediate result. Since
> the intent is to avoid overflow problems and most of the other time
> conversions are only semiexact, the off-by-one errors were considered
> an acceptable tradeoff.
>
> NOTE: This patch uses a bc-based shell script to compute the
> appropriate constants. This script should be run by hand if new HZ
> values are created, as doing it automatically introduces a dependency
> on bc, and has been shown to be unreliable in some environments. The
> flipside, unfortunately, is that this may cause problems for "make
> randconfig" on MIPS and OMAP, which appear to allow arbitrary values
> to be entered into CONFIG_HZ.
I understood that bc is unreliable.
How about creating a small .c program that does to necessary computation
and integrate it in the build process.
It should be much cleaner than this approach.
Sam
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