[Bug math/16562] spurious overflow exception from yn

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https://sourceware.org/bugzilla/show_bug.cgi?id=16562

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https://sourceware.org/git/gitweb.cgi?p=glibc.git;h=be25493251c014a696b62834b0e63b155d8fe353

commit be25493251c014a696b62834b0e63b155d8fe353
Author: Joseph Myers <joseph@codesourcery.com>
Date:   Fri Jun 27 14:52:13 2014 +0000

    Fix yn overflow handling in non-default rounding modes (bug 16561, bug
16562).

    This patch fixes bugs 16561 and 16562, bad results of yn in overflow
    cases in non-default rounding modes, both because an intermediate
    overflow in the recurrence does not get detected if the result is not
    an infinity and because an overflowing result may occur in the wrong
    sign.  The fix is to set FE_TONEAREST mode internally for the parts of
    the function where such overflows can occur (which includes the call
    to y1 - where yn is used to compute a Bessel function of order -1,
    negating the result of y1 isn't correct for overflowing results in
    directed rounding modes) and then compute an overflowing value in the
    original rounding mode if the to-nearest result was an infinity.

    Tested x86_64 and x86 and ulps updated accordingly.  Also tested for
    mips64 and powerpc32 to test the ldbl-128 and ldbl-128ibm changes.

    (The tests for these bugs were added in my previous y1 patch, so the
    only thing this patch has to do with the testsuite is enable yn
    testing in all rounding modes.)

        [BZ #16561]
        [BZ #16562]
        * sysdeps/ieee754/dbl-64/e_jn.c: Include <float.h>.
        (__ieee754_yn): Set FE_TONEAREST mode internally and then
        recompute overflowing results in original rounding mode.
        * sysdeps/ieee754/flt-32/e_jnf.c: Include <float.h>.
        (__ieee754_ynf): Set FE_TONEAREST mode internally and then
        recompute overflowing results in original rounding mode.
        * sysdeps/ieee754/ldbl-128/e_jnl.c: Include <float.h>.
        (__ieee754_ynl): Set FE_TONEAREST mode internally and then
        recompute overflowing results in original rounding mode.
        * sysdeps/ieee754/ldbl-128ibm/e_jnl.c: Include <float.h>.
        (__ieee754_ynl): Set FE_TONEAREST mode internally and then
        recompute overflowing results in original rounding mode.
        * sysdeps/ieee754/ldbl-96/e_jnl.c: Include <float.h>.
        (__ieee754_ynl): Set FE_TONEAREST mode internally and then
        recompute overflowing results in original rounding mode.
        * sysdeps/i386/fpu/fenv_private.h [!__SSE2_MATH__]
        (libc_feholdsetround_ctx): New macro.
        * math/libm-test.inc (yn_test): Use ALL_RM_TEST.
        * sysdeps/i386/fpu/libm-test-ulps: Update.
        * sysdeps/x86_64/fpu/libm-test-ulps : Likewise.

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

Summary of changes:
 ChangeLog                           |   25 ++++++
 NEWS                                |   20 +++---
 math/libm-test.inc                  |    4 +-
 sysdeps/i386/fpu/fenv_private.h     |    1 +
 sysdeps/i386/fpu/libm-test-ulps     |   24 ++++++
 sysdeps/ieee754/dbl-64/e_jn.c       |  117 ++++++++++++++++-------------
 sysdeps/ieee754/flt-32/e_jnf.c      |   16 ++++-
 sysdeps/ieee754/ldbl-128/e_jnl.c    |  139 ++++++++++++++++++----------------
 sysdeps/ieee754/ldbl-128ibm/e_jnl.c |  143 +++++++++++++++++++----------------
 sysdeps/ieee754/ldbl-96/e_jnl.c     |  137 ++++++++++++++++++---------------
 sysdeps/x86_64/fpu/libm-test-ulps   |   24 ++++++
 11 files changed, 389 insertions(+), 261 deletions(-)

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