Manpage of LGAMMA

LGAMMA

Section: Linux Programmer's Manual (3)
Updated: 2016-03-15
Index
 

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():

_ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L || _XOPEN_SOURCE
    || /* Since glibc 2.19: */ _DEFAULT_SOURCE
    || /* Glibc versions <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE

lgammaf(), lgammal():
_ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L
    || /* Since glibc 2.19: */ _DEFAULT_SOURCE
    || /* Glibc versions <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE
lgamma_r(), lgammaf_r(), lgammal_r():
/* Since glibc 2.19: */ _DEFAULT_SOURCE
    || /* Glibc versions <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE
signgam:
_XOPEN_SOURCE
    || /* Since glibc 2.19: */ _DEFAULT_SOURCE
    || /* Glibc versions <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE
 

DESCRIPTION

For the definition of the Gamma function, see tgamma(3).

The lgamma(), lgammaf(), and lgammal() functions return the natural logarithm of the absolute value of the Gamma function. The sign of the Gamma function is returned in the external integer signgamdeclared in <math.h>. It is 1 when the Gamma function is positive or zero, -1 when it is negative.

Since using a constant location signgamis not thread-safe, the functions 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 xis a NaN, a NaN is returned.

If xis 1 or 2, +0 is returned.

If xis positive infinity or negative infinity, positive infinity is returned.

If xis 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 mathematical 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
errnois set to ERANGE(but see BUGS). A divide-by-zero floating-point exception (FE_DIVBYZERO) is raised.
Range error: result overflow
errnois set to ERANGE. An overflow floating-point exception (FE_OVERFLOW) is raised.
 

CONFORMING TO

The lgamma() functions are specified in C99, POSIX.1-2001, and POSIX.1-2008. signgamis specified in POSIX.1-2001 and POSIX.1-2008, 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, errnois set to EDOM; instead of the POSIX-mandated ERANGE. Since version 2.10, glibc does the right thing.  

SEE ALSO

tgamma(3)


 

Index

NAME
SYNOPSIS
DESCRIPTION
RETURN VALUE
ERRORS
CONFORMING TO
BUGS
SEE ALSO

This document was created by man2html, using the manual pages.
Time: 22:27:52 GMT, June 20, 2016