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User-Agent: Mozilla/4.77 [en] (X11; U; Linux 2.4.2-2 i586)

Description of problem:
The result of coshl(x) (defined as (e^x - e^-x)/2) should be representable
for all x where |x| <= 11357, but it overflows to infinity when |X| >= 711.


How reproducible:
Always

Steps to Reproduce:
Compile and run the following program:

#include <stdio.h>
#include <math.h>

main ()
{
  long double a, b;
  const long double test_cases[] = { 711.0L, 11356.0L };
  int i, r = 0;

  for (i = 0; i < sizeof (test_cases) / sizeof (test_cases[0]); i++) {
    a = coshl (test_cases[i]);
    b = (expl (test_cases[i]) - expl (-test_cases[i])) / 2.0L;
    if (a == b) {
      printf ("cosh(%Lg) = %Lg\n", a);
    } else {
      printf ("coshl(%Lg) returned %Lg; expected %Lg\n",
	      test_cases[i], a, b);
      r = 1;
    }
  }
  return r;
}


Actual Results:  coshl(711) returned inf; expected 3.03631e+308
coshl(11356) returned inf; expected 3.52457e+4931


Expected Results:  cosh(711) = 3.03631e+308
cosh(11356) = 3.52457e+4931


Additional info:

The source of this bug can be found in
glibc-2.2.3/sysdeps/generic/w_coshl.c.  When it checks for a range error,
it is using the domain limit of the double function
(710.475860073943863426) rather than the long double version
(11357.2165534747038948012940999836L).