RE: [PATCH] ARC: Fix __udelay parentheses

From: Mischa Jonker
Date: Wed Aug 28 2013 - 14:55:57 EST


> > Make sure that usecs is casted to long long, to ensure that the (usecs
> > * 4295 * HZ) multiplication is 64 bit.
> >
> > Initially, the (usecs * 4295 * HZ) part was done as a 32 bit
> > multiplication, with the result casted to 64 bit. This led to some
> > bits falling off.
> >
> > Signed-off-by: Mischa Jonker <mjonker@xxxxxxxxxxxx>
> > ---
> > arch/arc/include/asm/delay.h | 4 ++--
> > 1 file changed, 2 insertions(+), 2 deletions(-)
> >
> > diff --git a/arch/arc/include/asm/delay.h
> > b/arch/arc/include/asm/delay.h index 442ce5d..8d35fe1 100644
> > --- a/arch/arc/include/asm/delay.h
> > +++ b/arch/arc/include/asm/delay.h
> > @@ -56,8 +56,8 @@ static inline void __udelay(unsigned long usecs)
> > /* (long long) cast ensures 64 bit MPY - real or emulated
> > * HZ * 4295 is pre-evaluated by gcc - hence only 2 mpy ops
> > */
> > - loops = ((long long)(usecs * 4295 * HZ) *
> > - (long long)(loops_per_jiffy)) >> 32;
> > + loops = (((long long) usecs) * 4295 * HZ *
> > + (long long) loops_per_jiffy) >> 32;
>
> Shouldn't this be unsigned long long or u64?
Yes, it should, but that is not directly related to the issue:)

> Why is it >> 32 again?
>
> The comment above it doesn't seem to match the code.
>
The original code explains about the >> 32:

/*
* Normal Math for computing loops in "N" usecs
* -we have precomputed @loops_per_jiffy
* -1 sec has HZ jiffies
* loops per "N" usecs = ((loops_per_jiffy * HZ / 1000000) * N)
*
* Approximate Division by multiplication:
* -Mathematically if we multiply and divide a number by same value the
* result remains unchanged: In this case, we use 2^32
* -> (loops_per_N_usec * 2^32 ) / 2^32
* -> (((loops_per_jiffy * HZ / 1000000) * N) * 2^32) / 2^32
* -> (loops_per_jiffy * HZ * N * 4295) / 2^32
*
* -Divide by 2^32 is very simply right shift by 32
* -We simply need to ensure that the multiply per above eqn happens in
* 64-bit precision (if CPU doesn't support it - gcc can emaulate it)
*/

The problem is that the original code already _tried_ to cast to 64 bits (to ensure a 64 bit multiply), but only did so after the multiply (so 32 bit multiply).

Mischa
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