freebsd-dev/lib/msun/bsdsrc
Bruce Evans e95cc9b700 Fix tgamma() on some special args:
(1) tgamma(-Inf) returned +Inf and failed to raise any exception, but
    should always have raised an exception, and should behave like
    tgamma(negative integer).
(2) tgamma(negative integer) returned +Inf and raised divide-by-zero,
    but should return NaN and raise "invalid" on any IEEEish system.
(3) About half of the 2**52 negative intgers between -2**53 and -2**52
    were misclassified as non-integers by using floor(x + 0.5) to round
    to nearest, so tgamma(x) was wrong (+-0 instead of +Inf and now NaN)
    on these args.  The floor() expression is hard to use since rounding
    of (x + 0.5) may give x or x + 1, depending on |x| and the current
    rounding mode.  The fixed version uses ceil(x) to classify x before
    operating on x and ends up being more efficient since ceil(x) is
    needed anyway.
(4) On at least the problematic args in (3), tgamma() raised a spurious
    inexact.
(5) tgamma(large positive) raised divide-by-zero but should raise overflow.
(6) tgamma(+Inf) raised divide-by-zero but should not raise any exception.
(7) Raise inexact for tiny |x| in a way that has some chance of not being
    optimized away.

The fix for (5) and (6), and probably for (2), also prevents -O optimizing
away the exception.

PR:		112180 (2)
Standards:	Annex F in C99 (IEC 60559 binding) requires (1), (2) and (6).
2007-05-02 15:24:49 +00:00
..
b_exp.c
b_log.c Fixed aliasing bugs in TRUNC() by using the fdlibm macros for access 2005-09-19 11:28:19 +00:00
b_tgamma.c Fix tgamma() on some special args: 2007-05-02 15:24:49 +00:00
mathimpl.h Removed an unused declaration which was so old that it wasn't a prototype 2005-11-18 05:03:12 +00:00