[Bug math/20357] Incorrect cos result for 1.5174239687223976

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https://sourceware.org/bugzilla/show_bug.cgi?id=20357

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https://sourceware.org/git/gitweb.cgi?p=glibc.git;h=cbf88869edced4b23d792d95a8626e35b831df35

commit cbf88869edced4b23d792d95a8626e35b831df35
Author: Siddhesh Poyarekar <siddhesh@sourceware.org>
Date:   Mon Jul 18 22:33:09 2016 +0530

    Fix cos computation for multiple precision fallback (bz #20357)

    During the sincos consolidation I made two mistakes, one was a logical
    error due to which cos(0x1.8475e5afd4481p+0) returned
    sin(0x1.8475e5afd4481p+0) instead.

    The second issue was an error in negating inputs for the correct
    quadrants for sine.  I could not find a suitable test case for this
    despite running a program to search for such an input for a couple of
    hours.

    Following patch fixes both issues.  Tested on x86_64.  Thanks to Matt
    Clay for identifying the issue.

        [BZ #20357]
        * sysdeps/ieee754/dbl-64/s_sin.c (sloww): Fix up condition
        to call __mpsin/__mpcos and to negate values.
        * math/auto-libm-test-in: Add test.
        * math/auto-libm-test-out: Regenerate.

-----------------------------------------------------------------------

Summary of changes:
 ChangeLog                      |    9 ++
 math/auto-libm-test-in         |    3 +
 math/auto-libm-test-out        |  207 ++++++++++++++++++++++++++++++++++++++++
 sysdeps/ieee754/dbl-64/s_sin.c |    4 +-
 4 files changed, 221 insertions(+), 2 deletions(-)

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