Re: round_up integer underflow

[Alexey Dobriyan <adobriyan@gmail.com>]

On Thu, Jul 23, 2015 at 11:10:30AM -0700, Jörn Engel wrote:
> On Thu, Jul 23, 2015 at 11:02:55AM -0700, Jörn Engel wrote:
> > Spencer spotted something nasty in the round_up macro.  We were
> > wondering why round_up() worked differently from ALIGN.  The only real
> > difference between the two patterns is overflow behaviour.  And both
> > version are buggy when used for signed integer types, round_up will
> > underflow on INT_MIN, ALIGN will overflow on INT_MAX.  Since signed
> > integer under/overflows are undefined, we might have subtle bugs lurking
> > in the kernel.
> > 
> > This example program produces a warning when compiling with gcc -O2 or
> > higher.  Clang doesn't warn.  Compiled code behaves correctly with both
> > compilers, but that is largely luck and the same compilers may create
> > wrong behaviour if the surrounding code changes.
> > 
> > #include <limits.h>
> > #include <stdio.h>
> > 
> > #define __round_mask(x, y) ((__typeof__(x))((y)-1))
> > #define round_up(x, y) ((((x)-1) | __round_mask(x, y))+1)
> > #define round_down(x, y) ((x) & ~__round_mask(x, y))
> > 
> > int main(void)
> > {
> > 	int i, r = 8;
> > 
> > 	for (i = INT_MIN; i; i++) {
> > 		printf("%2x: %2x %2x\n", i, round_down(i, r), round_up(i, r));
> > 	}
> > 	return 0;
> > }
> > 
> > I don't have a good answer yet.  We could make round_up check for
> > negative numbers, but I would prefer unconditional code that optimizes
> > down to nothing.  We could rewrite it in assembly, once for each
> > architecture.
> > 
> > Does anyone have better ideas?

You can fix overflow issues but the ALIGN(INT_MAX, a) creating much
smaller value is probably a bug anyway. It should BUG_ON or something
(yes, I'm aware of recent memo).

> #define round_up(x, y) (__typeof__(x)(__round_up((unsigned __typeof__(x)(x)), (y))))
						    ^^^^^^^^^^^^^^^^^^^

If only... :-(

> I.e. cast x to the matching unsigned type where overflows are
> well-defined, do the rounding, then cast the result back to the original
> type.