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-.\" Copyright 2002 Walter Harms (walter.harms@informatik.uni-oldenburg.de)
-.\" and Copyright 2008, Linux Foundation, written by Michael Kerrisk
-.\" <mtk.manpages@gmail.com>
-.\"
-.\" SPDX-License-Identifier: GPL-1.0-or-later
-.\"
-.\" based on glibc infopages
-.\"
-.TH lgamma 3 (date) "Linux man-pages (unreleased)"
-.SH NAME
-lgamma, lgammaf, lgammal, lgamma_r, lgammaf_r, lgammal_r, signgam \-
-log gamma function
-.SH LIBRARY
-Math library
-.RI ( libm ", " \-lm )
-.SH SYNOPSIS
-.nf
-.B #include <math.h>
-.P
-.BI "double lgamma(double " x );
-.BI "float lgammaf(float " x );
-.BI "long double lgammal(long double " x );
-.P
-.BI "double lgamma_r(double " x ", int *" signp );
-.BI "float lgammaf_r(float " x ", int *" signp );
-.BI "long double lgammal_r(long double " x ", int *" signp );
-.P
-.BI "extern int " signgam ;
-.fi
-.P
-.RS -4
-Feature Test Macro Requirements for glibc (see
-.BR feature_test_macros (7)):
-.RE
-.P
-.nf
-.BR lgamma ():
- _ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L || _XOPEN_SOURCE
- || /* Since glibc 2.19: */ _DEFAULT_SOURCE
- || /* glibc <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE
-.fi
-.P
-.BR lgammaf (),
-.BR lgammal ():
-.nf
- _ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L
- || /* Since glibc 2.19: */ _DEFAULT_SOURCE
- || /* glibc <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE
-.fi
-.P
-.BR lgamma_r (),
-.BR lgammaf_r (),
-.BR lgammal_r ():
-.nf
- /* Since glibc 2.19: */ _DEFAULT_SOURCE
- || /* glibc <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE
-.fi
-.P
-.IR signgam :
-.nf
- _XOPEN_SOURCE
- || /* Since glibc 2.19: */ _DEFAULT_SOURCE
- || /* glibc <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE
-.fi
-.SH DESCRIPTION
-For the definition of the Gamma function, see
-.BR tgamma (3).
-.P
-The
-.BR lgamma (),
-.BR lgammaf (),
-and
-.BR 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
-.I signgam
-declared in
-.IR <math.h> .
-It is 1 when the Gamma function is positive or zero, \-1
-when it is negative.
-.P
-Since using a constant location
-.I signgam
-is not thread-safe, the functions
-.BR lgamma_r (),
-.BR lgammaf_r (),
-and
-.BR lgammal_r ()
-have been introduced; they return the sign via the argument
-.IR signp .
-.SH RETURN VALUE
-On success, these functions return the natural logarithm of Gamma(x).
-.P
-If
-.I x
-is a NaN, a NaN is returned.
-.P
-If
-.I x
-is 1 or 2, +0 is returned.
-.P
-If
-.I x
-is positive infinity or negative infinity,
-positive infinity is returned.
-.P
-If
-.I x
-is a nonpositive integer,
-a pole error occurs,
-and the functions return
-.RB + HUGE_VAL ,
-.RB + HUGE_VALF ,
-or
-.RB + HUGE_VALL ,
-respectively.
-.P
-If the result overflows,
-a range error occurs,
-.\" e.g., lgamma(DBL_MAX)
-and the functions return
-.BR HUGE_VAL ,
-.BR HUGE_VALF ,
-or
-.BR HUGE_VALL ,
-respectively, with the correct mathematical sign.
-.SH ERRORS
-See
-.BR math_error (7)
-for information on how to determine whether an error has occurred
-when calling these functions.
-.P
-The following errors can occur:
-.TP
-Pole error: \fIx\fP is a nonpositive integer
-.I errno
-is set to
-.B ERANGE
-(but see BUGS).
-A divide-by-zero floating-point exception
-.RB ( FE_DIVBYZERO )
-is raised.
-.TP
-Range error: result overflow
-.I errno
-is set to
-.BR ERANGE .
-An overflow floating-point exception
-.RB ( FE_OVERFLOW )
-is raised.
-.\" glibc (as at 2.8) also supports an inexact
-.\" exception for various cases.
-.SH STANDARDS
-.TP
-.BR lgamma ()
-.TQ
-.BR lgammaf ()
-.TQ
-.BR lgammal ()
-C11, POSIX.1-2008.
-.TP
-.I signgam
-POSIX.1-2008.
-.TP
-.BR lgamma_r ()
-.TQ
-.BR lgammaf_r ()
-.TQ
-.BR lgammal_r ()
-None.
-.SH HISTORY
-.TP
-.BR lgamma ()
-.TQ
-.BR lgammaf ()
-.TQ
-.BR lgammal ()
-C99, POSIX.1-2001.
-.TP
-.I signgam
-POSIX.1-2001.
-.TP
-.BR lgamma_r ()
-.TQ
-.BR lgammaf_r ()
-.TQ
-.BR lgammal_r ()
-None.
-.SH BUGS
-In glibc 2.9 and earlier,
-.\" https://www.sourceware.org/bugzilla/show_bug.cgi?id=6777
-when a pole error occurs,
-.I errno
-is set to
-.BR EDOM ;
-instead of the POSIX-mandated
-.BR ERANGE .
-Since glibc 2.10, glibc does the right thing.
-.SH SEE ALSO
-.BR tgamma (3)