Shifting: what's going on?

Facundo Ciccioli facundofc@gmail.com
Thu Mar 29 15:05:00 GMT 2007


I expect to get a 1 in the s-th bit of a, and zeroes in all other
bits. I don't know why you say that's an arithmetic overflow, if
unsigned long long is 64 bits long and it has a 63-th bit (the last
one).

Anyway, Rupert Wood comment works, thanks a lot.

FaQ

2007/3/29, Andrew Haley <aph@redhat.com>:
> Facundo Ciccioli writes:
>  > Hi. What follows applies to gcc (GCC) 3.4.2 (mingw-special), platform
>  > x86-32bits.
>  >
>  > This code:
>  >
>  > int main() {
>  >     unsigned long long a= 1;
>  >     unsigned s= 63;
>  >
>  >     a= (a << s);
>  >
>  >     return 0;
>  > }
>  > generates this assembler (removing preamble and prologue stuff):
>  >
>  >     movl    $1, -8(%ebp)
>  >     movl    $0, -4(%ebp)
>  >     movl    $63, -12(%ebp)
>  >     movl    -12(%ebp), %ecx
>  >     movl    -8(%ebp), %eax
>  >     movl    -4(%ebp), %edx
>  >     shldl   %cl,%eax, %edx
>  >     sall    %cl, %eax
>  >     testb   $32, %cl
>  >     je  L2
>  >     movl    %eax, %edx
>  >     movl    $0, %eax
>  > L2:
>  >     movl    %eax, -8(%ebp)
>  >     movl    %edx, -4(%ebp)
>  >
>  > This is fine, and works as I expect.
>  > However, this code:
>  >
>  > int main() {
>  >     unsigned long long a;
>  >     unsigned s= 63;
>  >
>  >     a= (1 << s);
>  >
>  >     return 0;
>  > }
>  > generates this assembler:
>  >
>  >     movl    $63, -12(%ebp)
>  >     movl    -12(%ebp), %ecx
>  >     movl    $1, %eax
>  >     sall    %cl, %eax
>  >     cltd
>  >     movl    %eax, -8(%ebp)
>  >     movl    %edx, -4(%ebp)
>  > which is... wrong. Not only the results aren't what they should, but
>  > looking a little harder, the assembler generated doesn't seem to make
>  > sense. What's with the CLTD instruction there? If I change s (the
>  > shifted amount) to be 63 (31 is equivalent, because only 5 bits of %cl
>  > are used) then the result are a bunch of 1's because the sign of %eax
>  > goes all over %edx. And that's only one problem. If s is between 62
>  > and 32, the 1 appears in %eax instead of being in %edx, where it
>  > should.
>  >
>  > This is obviusly not urgent, since the first code is perfectly
>  > acceptable and applicable to what I am doing, but I just got curious.
>
> This is an arithmetic overflow, and is explicitly undefined.  One
> result is as good as any other.  What do you expect the code to do?
>
> Andrew.
>
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