LGAMMA(3) Linux Programmer's Manual LGAMMA(3)NAME
lgamma, lgammaf, lgammal, lgamma_r, lgammaf_r, lgammal_r, signgam - log
gamma function
SYNOPSIS
#include <math.h>
double lgamma(double x);
float lgammaf(float x);
long double lgammal(long double x);
double lgamma_r(double x, int *signp);
float lgammaf_r(float x, int *signp);
long double lgammal_r(long double x, int *signp);
extern int signgam;
Link with -lm.
Feature Test Macro Requirements for glibc (see feature_test_macros(7)):
lgamma():
_BSD_SOURCE || _SVID_SOURCE || _XOPEN_SOURCE || _ISOC99_SOURCE ||
_POSIX_C_SOURCE >= 200112L;
or cc -std=c99
lgammaf(), lgammal():
_BSD_SOURCE || _SVID_SOURCE || _XOPEN_SOURCE >= 600 ||
_ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L;
or cc -std=c99
lgamma_r(), lgammaf_r(), lgammal_r():
_BSD_SOURCE || _SVID_SOURCE
signgam:
_BSD_SOURCE || _SVID_SOURCE || _XOPEN_SOURCE
DESCRIPTION
For the definition of the Gamma function, see tgamma(3).
The lgamma() function returns the natural logarithm of the absolute
value of the Gamma function. The sign of the Gamma function is
returned in the external integer signgam declared in <math.h>. It is 1
when the Gamma function is positive or zero, -1 when it is negative.
Since using a constant location signgam is not thread-safe, the func‐
tions lgamma_r(), lgammaf_r(), and lgammal_r() have been introduced;
they return the sign via the argument signp.
RETURN VALUE
On success, these functions return the natural logarithm of Gamma(x).
If x is a NaN, a NaN is returned.
If x is 1 or 2, +0 is returned.
If x is positive infinity or negative infinity, positive infinity is
returned.
If x is a nonpositive integer, a pole error occurs, and the functions
return +HUGE_VAL, +HUGE_VALF, or +HUGE_VALL, respectively.
If the result overflows, a range error occurs, and the functions return
HUGE_VAL, HUGE_VALF, or HUGE_VALL, respectively, with the correct math‐
ematical sign.
ERRORS
See math_error(7) for information on how to determine whether an error
has occurred when calling these functions.
The following errors can occur:
Pole error: x is a nonpositive integer
errno is set to ERANGE (but see BUGS). A divide-by-zero float‐
ing-point exception (FE_DIVBYZERO) is raised.
Range error: result overflow
errno is set to ERANGE. An overflow floating-point exception
(FE_OVERFLOW) is raised.
CONFORMING TO
The lgamma() functions are specified in C99 and POSIX.1-2001. signgam
is specified in POSIX.1-2001, but not in C99. The lgamma_r() functions
are nonstandard, but present on several other systems.
BUGS
In glibc 2.9 and earlier, when a pole error occurs, errno is set to
EDOM; instead of the POSIX-mandated ERANGE. Since version 2.10, glibc
does the right thing.
SEE ALSOtgamma(3)COLOPHON
This page is part of release 3.65 of the Linux man-pages project. A
description of the project, and information about reporting bugs, can
be found at http://www.kernel.org/doc/man-pages/.
2014-01-18 LGAMMA(3)
