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authorJeff Johnston <jjohnstn@redhat.com>2009-03-25 22:13:24 +0300
committerJeff Johnston <jjohnstn@redhat.com>2009-03-25 22:13:24 +0300
commit139f923bb4564fb021dce2b7ae460a3d8e3bb87d (patch)
tree96c1d8794c6828033a418bce8d8f1cc6eccba037 /newlib/libm/math/w_gamma.c
parentbaea11cd6a53ccde63b5fefa4c7ae2b5426a668d (diff)
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.c53
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.