Fw: [PATCH 0/3] libm: Clean up gamma functions
C Howland
cc1964t@gmail.com
Thu Aug 27 17:43:49 GMT 2020
> ------------------------------
> *From:* Newlib <newlib-bounces@sourceware.org> on behalf of Keith Packard
> via Newlib <newlib@sourceware.org>
> *Sent:* Wednesday, August 26, 2020 1:03 PM
> *To:* newlib@sourceware.org <newlib@sourceware.org>
> *Subject:* [PATCH 0/3] libm: Clean up gamma functions
>
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> This series cleans up some API oddities and inaccuracies in
> errno/exception reporting from the various gamma related functions.
> With this series applied, newlib now matches the POSIX spec (and glibc)
> for tgamma/lgamma functions. I've left the 'gamma' functions BSD
> compatible (tgamma instead of lgamma) to avoid changing the API.
>
> [PATCH 1/3] libm: Fix sign value returned from __ieee754_lgamma*_r(-0)
>
> Following the C spec, gamma(-0) should be -INFINITY rather than
> +INFINITY, so the *signgamp value in lgamma should be -1
> rather than +1 for this case.
>
What C spec? Neither C99 nor C11 say so that I see for lgamma(). POSIX
makes the direct statement "If x is a non-positive integer, a pole error
shall occur and lgamma(), lgammaf(), and lgammal() shall return +HUGE_VAL,
+HUGE_VALF, and +HUGE_VALL, respectively." 0, regardless of sign, falls
under that.
https://pubs.opengroup.org/onlinepubs/9699919799/functions/lgamma.html
Additionally, the Linux lgamma man page, using GLIBC, says the same thing
as quoted from POSIX (not word for word, but the identical result).
(POSIX does require the +-0 +-INFINITY for tgamma(). Did these get crossed
up?)
Craig
>
> [PATCH 2/3] libm: Remove __ieee754_gamma_r variants
>
> Back in 2002, a patch changed the various gamma functions so
> that the returned abs(gamma) instead of the ln of gamma. This
> left the _r variants in place, with their extra parameter to
> return the sign of the resulting value. This doesn't make any
> sense to me and looks like it was just a mistake. I've changed
> the __ieee754_gamma functions to apply the sign value locally
> and eliminated the gamma_r versions as those are no longer useful.
>
> [PATCH 3/3] libm: Adjust errno/exception values for gamma/lgamma
>
> There's a pretty detailed discussion in the commit message
> here, the short version is that tgamma and lgamma are
> specified with different errno/exception behaviour for
> one class of inputs (negative integers).
>
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