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[Bug math/13851] New: sincosl(), sinl() and cosl() are incorrect for large inputs on x86_64 and x86


http://sourceware.org/bugzilla/show_bug.cgi?id=13851

             Bug #: 13851
           Summary: sincosl(), sinl() and cosl() are incorrect for large
                    inputs on x86_64 and x86
           Product: glibc
           Version: 2.15
            Status: NEW
          Keywords: glibc_2.15
          Severity: normal
          Priority: P2
         Component: math
        AssignedTo: unassigned@sourceware.org
        ReportedBy: aj@suse.de
                CC: aj@suse.de, bugdal@aerifal.cx,
                    carlos@systemhalted.org, ppluzhnikov@google.com,
                    vincent-srcware@vinc17.net
        Depends on: 13658
    Classification: Unclassified


+++ This bug was initially created as a clone of Bug #13658 +++

sincosl() is inaccurate for large inputs on x86_64: with glibc 2.13,

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

int main (void)
{
  volatile long double x = 1.0e22;
  long double s1, s2, c1;

  sincosl (x, &s1, &c1);
  s2 = sinl (x);
  printf ("s1 = %.17Lg\n", s1);
  printf ("s2 = %.17Lg\n", s2);
  return 0;
}

outputs:
s1 = -0.63300455357085282
s2 = -0.63300455357085282

Correct output would be:
0.85220084976718879

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