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[Bug math/6869] New: sin() and cos() return grossly wrong results when rounding is set to upward


$ cat bug2.cc
#include <fenv.h>
#include <iostream>
#include <cmath>

int main() {
  double theta = 5.27905511969922880410877041867934167385101318359375;

  std::cout << "theta = " << theta << "\n";
  std::cout << "sin(theta) = " << sin(theta) << "\n";
  std::cout << "cos(theta) = " << cos(theta) << "\n";

  std::cout << "Repeating after setting the rounding direction to UPWARD:"
            << std::endl;

  fesetround(FE_UPWARD);
  std::cout << "theta = " << theta << "\n";
  std::cout << "sin(theta) = " << sin(theta) << "\n";
  std::cout << "cos(theta) = " << cos(theta) << "\n";
}
$ g++ -W -Wall bug2.cc
$ a.out
theta = 5.27906
sin(theta) = -0.843695
cos(theta) = 0.536822
Repeating after setting the rounding direction to UPWARD:
theta = 5.27906
sin(theta) = -0.119458
cos(theta) = 12.1636
$

This happens on a Fedora 7, x86_64  system, with glibc-2.6-4
and GCC 4.3.2.

As you see, after setting the rounding direction to UPWARD,
the results are grossly wrong, to the point of cos() returning
12.1636.  The value computed by second invocation of sin() is
also wrong.

-- 
           Summary: sin() and cos() return grossly wrong results when
                    rounding is set to upward
           Product: glibc
           Version: unspecified
            Status: NEW
          Severity: normal
          Priority: P2
         Component: math
        AssignedTo: aj at suse dot de
        ReportedBy: bagnara at cs dot unipr dot it
                CC: glibc-bugs at sources dot redhat dot com
  GCC host triplet: athlon64-unknown-linux-gnu


http://sourceware.org/bugzilla/show_bug.cgi?id=6869

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