$ cat test.c
#include <stdio.h>
int main() {
  _Decimal128 const a=1.111111111111111111111111111111111dl;
  _Decimal128 const b=1.1111111e-6158dl;
  _Decimal128 volatile x=a;
  _Decimal128 volatile y=b;
  double ab=a*b*1.0e6000dl;
  double xy=x*y*1.0e6000dl;
  printf("ab=%g\n",ab);
  printf("xy=%g\n",xy);
}

$ gcc test.c && ./a.out
ab=9.64506e-159
xy=9.64506e-159

$ gcc -O test.c && ./a.out
ab=1.23457e-158
xy=9.64506e-159

$ gcc --version | head -1
gcc (GCC) 4.5.1 20100418 (prerelease)

The correct value is 1.23457e-158:

$ echo "1.111111111111111111111111111111111*1.1111111" | bc
1.234567888888888888888888888888888

A simple modification of test.c can show that it is x*y and a*b, when computed
by libbid, are incorrect. The a*b expression, when computed by gcc (with -O),
is correct.

To further diagnose, I extracted libbid from the gcc source tree and compiled
it outside of gcc to link it with the above test.c program. I added some
#defines to compile the library and renamed some functions to call them
directly from the test.

I found that if compiled with -O only, libbid multiplies correctly. With -O
-ftree-pre, it multiplies incorrectly.

The real job is done by bid128_ext_fma() (about 3000 C lines).


-- 
           Summary: [4.5 regression] -O -ftree-pre options compile libbid
                    wrong
           Product: gcc
           Version: 4.5.0
            Status: UNCONFIRMED
          Severity: normal
          Priority: P3
         Component: tree-optimization
        AssignedTo: unassigned at gcc dot gnu dot org
        ReportedBy: roman at binarylife dot net
 GCC build triplet: x86_64-unknown-linux-gnu
  GCC host triplet: x86_64-unknown-linux-gnu
GCC target triplet: x86_64-unknown-linux-gnu


http://gcc.gnu.org/bugzilla/show_bug.cgi?id=43783

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