[CLN-list] Floating point overflow discrepancy

[Michael Miller]

The following code (to calculate x^100000):

   cl_R x="1.0L100000", y=1;
   for (int i=1; i<=100000; i++) y=x*y;
   cout << y << "\n";
   cout << exp(100000*ln(x)) << "\n";;

results in the output

   1.00000000000000302104L10000000000
   terminate called after throwing an instance of
     'cln::floating_point_overflow_exception'
   what():  floating point overflow.
   Aborted

I know that these are very large numbers, but the two calculations are
computing the same value.  If the first doesn't overflow, then why does
the second?

Mike