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author | Jeff Johnston <jjohnstn@redhat.com> | 2009-03-25 19:13:24 +0000 |
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committer | Jeff Johnston <jjohnstn@redhat.com> | 2009-03-25 19:13:24 +0000 |
commit | 139f923bb4564fb021dce2b7ae460a3d8e3bb87d (patch) | |
tree | 96c1d8794c6828033a418bce8d8f1cc6eccba037 /newlib/libm/math/w_gamma.c | |
parent | baea11cd6a53ccde63b5fefa4c7ae2b5426a668d (diff) | |
download | cygnal-139f923bb4564fb021dce2b7ae460a3d8e3bb87d.tar.gz cygnal-139f923bb4564fb021dce2b7ae460a3d8e3bb87d.tar.bz2 cygnal-139f923bb4564fb021dce2b7ae460a3d8e3bb87d.zip |
2009-03-25 Craig Howland <howland@LGSInnovations.com>
* libc/include/math.h: (llround, llroundf): Declare.
* libm/common/s_llround.c: New file, implementing llround().
* libm/common/sf_llround.c: New file, implementing llroundf().
* libm/common/sf_lround.c: Remove spurious cast in _DOUBLE_IS_32BITS
version of function.
* libm/common/sf_lrint.c: Ditto.
* libm/common/sf_logb.c: Corrected return for subnormal argument
by replacing existing function with a version created from sf_ilogb.c.
* libm/common/s_logb.c: Ditto, except starting point s_ilogb.c. Also
added documentation for logb() and logbf().
* libm/common/s_signbit.c: Add signbit() documentation.
* libm/common/s_log2.c: Update return values to match what w_log2.c has,
since log2 uses log(); add note about being derived instead of direct.
* libm/common/sf_fma.c: Add casts to attempt to get correct results,
as well as comments pointing out problems with the implementation.
* libm/common/s_fma.c: Add fma() and fmaf() documentation.
* libm/common/sf_remquo.c: Incorrect quotient returns for large values
corrected by discarding existing function and replacing with Sun
verion, with some enhancements.
* libm/common/s_remquo.c: Ditto. Add remquo() and remquof()
documentation.
* libm/common/s_fmax.c: Add fmax() and fmaxf() documentation.
* libm/common/s_fmin.c: Add fmin() and fminf() documentation.
* libm/common/s_fdim.c: Return NAN for NAN arg, add fdim() and fdimf()
documentation.
* libm/common/sf_fdim.c: Return NAN for NAN arg, HUGE_VALF for inf arg.
* libm/common/s_trunc.c: Add trunc() and truncf() documentation.
* libm/common/s_rint.c: Add rint() and rintf() documentation.
* libm/common/s_round.c: Add round() and roundf() documentation.
* libm/common/s_scalbn.c: Add scalbln() and scalblnf() documentation.
* libm/common/s_infinity.c: Add infinity() and infinityf()
documentation.
* libm/common/s_lround.c: Add lround(), lroundf(), llround(), and
llroundf() documentation.
* libm/common/s_lrint.c: Add lrint(), lrintf(), llrint(), and llrintf()
documentation.
* libm/common/isgreater.c: New file for documenting math.h function-like
macros isgreater(), isgreaterequal(), isless(), islessequal(),
islessgreater(), and isunordered().
* libm/common/s_isnan.c: Add documentation for function-like macros
fpclassify(), isfinite(), isinf(), isnan(), and isnormal().
* libm/common/s_nearbyint.c: Add nearbyint() and nearbyintf()
documentation.
* libm/common/Makefile.am: Add s_llround.c (src); sf_llround.c (fsrc);
s_fdim.def, s_fma.def, s_fmax.def, s_fmin.def,
s_logb.def, s_lrint.def, s_lround.def, s_nearbyint.def, s_remquo.def,
s_rint.def, s_round.def, s_signbit.def, s_trunc.def, and
isgreater.def (chobj);
re-name all existing chew files (chobj) to match source file base
names (put in underscores), delete all special targets for chew files
(leaving all to be generated by rule).
* libm/common/Makefile.in: regenerate.
* libm/math/w_exp2.c: Add "base 2" to documentation description (and
delete TRAD_SYNOPSIS).
* libm/math/w_gamma.c: Add tgamma() and tgammaf() documentation, along
with some history behind the function names.
* libm/math/math.tex: Add includes for newly-added documentation (see
.def additions to common/Makefile.am and math/Makefile.am in this
ChangeLog list), adjusted existing .def file names to match source file
base names (added underscores); add mention of HUGE_VALF; rename
"Version of library" section to "Error Handling" and add some text
about floating-point exception; added section "Standards Compliance And
Portability".
* libm/math/Makefile.am: Add w_exp2.def (chobj);
re-name all existing chew files (chobj) to match source file base
names, delete all special targets for chew files (leaving all to be
generated by rule).
* libm/math/Makefile.in: regenerated
* doc/makedoc.c: Change silent ignoring of commands < 5 characters
to a failure when reading macro file for commands < 4 characters;
add -v (verbose) option for printing some debugging information;
get rid of spurious translation of "@*" to "*" (no source files used @*,
so no existing doc pages were affected); clean up some compiler
warnings.
* doc/doc.str: add BUGS and SEEALSO sections (to match texi2pod.pl
which has them); Remove ITEM command (redundant with makedoc built-in
"o", not used in any present source file so nothing is lost, anyway).
* HOWTO: New file to hold information for maintainers regarding how
to do things. Initial sections on documentation and ELIX levels.
Diffstat (limited to 'newlib/libm/math/w_gamma.c')
-rw-r--r-- | newlib/libm/math/w_gamma.c | 53 |
1 files changed, 43 insertions, 10 deletions
diff --git a/newlib/libm/math/w_gamma.c b/newlib/libm/math/w_gamma.c index fad40496d..3717f53e5 100644 --- a/newlib/libm/math/w_gamma.c +++ b/newlib/libm/math/w_gamma.c @@ -12,11 +12,20 @@ * */ +/* BUG: FIXME? + According to Linux man pages for tgamma, lgamma, and gamma, the gamma +function was originally defined in BSD as implemented here--the log of the gamma +function. BSD 4.3 changed the name to lgamma, apparently removing gamma. BSD +4.4 re-introduced the gamma name with the more intuitive, without logarithm, +plain gamma function. The C99 standard apparently wanted to avoid a problem +with the poorly-named earlier gamma and used tgamma when adding a plain +gamma function. + So the current gamma is matching an old, bad definition, and not +matching a newer, better definition. */ /* FUNCTION - <<gamma>>, <<gammaf>>, <<lgamma>>, <<lgammaf>>, <<gamma_r>>, - <<gammaf_r>>, <<lgamma_r>>, <<lgammaf_r>>---logarithmic gamma - function + <<gamma>>, <<gammaf>>, <<lgamma>>, <<lgammaf>>, <<gamma_r>>, <<gammaf_r>>, <<lgamma_r>>, <<lgammaf_r>>, <<tgamma>>, and <<tgammaf>>--logarithmic and plain gamma functions + INDEX gamma INDEX @@ -33,6 +42,10 @@ INDEX lgamma_r INDEX lgammaf_r +INDEX +tgamma +INDEX +tgammaf ANSI_SYNOPSIS #include <math.h> @@ -44,6 +57,8 @@ double gamma_r(double <[x]>, int *<[signgamp]>); float gammaf_r(float <[x]>, int *<[signgamp]>); double lgamma_r(double <[x]>, int *<[signgamp]>); float lgammaf_r(float <[x]>, int *<[signgamp]>); +double tgamma(double <[x]>); +float tgammaf(float <[x]>); TRAD_SYNOPSIS #include <math.h> @@ -67,15 +82,19 @@ int <[signgamp]>; float lgammaf_r(<[x]>, <[signgamp]>) float <[x]>; int <[signgamp]>; +double tgamma(<[x]>) +double <[x]>; +float tgammaf(<[x]>) +float <[x]>; DESCRIPTION -<<gamma>> calculates +<<gamma>> calculates @tex -$\mit ln\bigl(\Gamma(x)\bigr)$, +$\mit ln\bigl(\Gamma(x)\bigr)$, @end tex the natural logarithm of the gamma function of <[x]>. The gamma function (<<exp(gamma(<[x]>))>>) is a generalization of factorial, and retains -the property that +the property that @ifnottex <<exp(gamma(N))>> is equivalent to <<N*exp(gamma(N-1))>>. @end ifnottex @@ -83,13 +102,13 @@ the property that $\mit \Gamma(N)\equiv N\times\Gamma(N-1)$. @end tex Accordingly, the results of the gamma function itself grow very -quickly. <<gamma>> is defined as +quickly. <<gamma>> is defined as @tex $\mit ln\bigl(\Gamma(x)\bigr)$ rather than simply $\mit \Gamma(x)$ @end tex @ifnottex the natural log of the gamma function, rather than the gamma function -itself, +itself, @end ifnottex to extend the useful range of results representable. @@ -113,8 +132,17 @@ variable <<signgam>> is not used. These functions may be used for reentrant calls (but they will still set the global variable <<errno>> if an error occurs). +<<tgamma>> and <<tgammaf>> are the "true gamma" functions, returning +@tex +$\mit \Gamma(x)$, +@end tex +the gamma function of <[x]>--without a logarithm. +(They are apparently so named because of the prior existence of the old, +poorly-named <<gamma>> functions which returned the log of gamma up +through BSD 4.2.) + RETURNS -Normally, the computed result is returned. +Normally, the computed result is returned. When <[x]> is a nonpositive integer, <<gamma>> returns <<HUGE_VAL>> and <<errno>> is set to <<EDOM>>. If the result overflows, <<gamma>> @@ -123,7 +151,12 @@ returns <<HUGE_VAL>> and <<errno>> is set to <<ERANGE>>. You can modify this error treatment using <<matherr>>. PORTABILITY -Neither <<gamma>> nor <<gammaf>> is ANSI C. */ +Neither <<gamma>> nor <<gammaf>> is ANSI C. It is better not to use either +of these; use <<lgamma>> or <<tgamma>> instead.@* +<<lgamma>>, <<lgammaf>>, <<tgamma>>, and <<tgammaf>> are nominally C standard +in terms of the base return values, although the <<matherr>> error-handling +is not standard, nor is the <[signgam]> global for <<lgamma>>. +*/ /* double gamma(double x) * Return the logarithm of the Gamma function of x. |