[Bug math/16287] ldbl-128 erfl spurious underflows

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https://sourceware.org/bugzilla/show_bug.cgi?id=16287

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https://sourceware.org/git/gitweb.cgi?p=glibc.git;h=e7dd3c8c1db8c6d293abb995e033893b7328ad19

commit e7dd3c8c1db8c6d293abb995e033893b7328ad19
Author: Joseph Myers <joseph@codesourcery.com>
Date:   Tue Jun 24 20:56:56 2014 +0000

    Fix ldbl-128 erfl spurious underflows (bug 16287).

    This patch fixes bug 16287, spurious underflows from ldbl-128 erfl
    arising from it calling erfcl for arguments with absolute value at
    least 1.0, although for large positive arguments erfcl correctly
    underflows but erfl shouldn't.  The fix is simply to avoid calling
    erfcl, and just return 1, for arguments above a cut-off large enough
    that erfl correctly rounds to-nearest as 1 but not so large that erfcl
    underflows.

    Tested mips64.  Also tested x86_64 and x86 to confirm the new tests
    (taken from the tests of erfc) don't cause any problems there; no ulps
    updates needed.

        [BZ #16287]
        * sysdeps/ieee754/ldbl-128/s_erfl.c (__erfl): Return 1 without
        calling __erfcl for arguments at least 16.
        * math/auto-libm-test-in: Add more tests of erf.
        * math/auto-libm-test-out: Regenerated.

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

Summary of changes:
 ChangeLog                         |    6 +
 NEWS                              |   24 ++--
 math/auto-libm-test-in            |   10 ++
 math/auto-libm-test-out           |  294 +++++++++++++++++++++++++++++++++++++
 sysdeps/ieee754/ldbl-128/s_erfl.c |    2 +
 5 files changed, 324 insertions(+), 12 deletions(-)

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