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-'\" t
-.\" Copyright 2002 Walter Harms (walter.harms@informatik.uni-oldenburg.de)
-.\"
-.\" SPDX-License-Identifier: GPL-1.0-or-later
-.\"
-.\" Based on glibc infopages
-.\" and Copyright 2008, Linux Foundation, written by Michael Kerrisk
-.\"     <mtk.manpages@gmail.com>
-.\" Modified 2004-11-15, fixed error noted by Fabian Kreutz
-.\"	 <kreutz@dbs.uni-hannover.de>
-.\"
-.TH tgamma 3 2023-10-31 "Linux man-pages 6.7"
-.SH NAME
-tgamma, tgammaf, tgammal \- true gamma function
-.SH LIBRARY
-Math library
-.RI ( libm ", " \-lm )
-.SH SYNOPSIS
-.nf
-.B #include <math.h>
-.P
-.BI "double tgamma(double " x );
-.BI "float tgammaf(float " x );
-.BI "long double tgammal(long double " x );
-.fi
-.P
-.RS -4
-Feature Test Macro Requirements for glibc (see
-.BR feature_test_macros (7)):
-.RE
-.P
-.BR tgamma (),
-.BR tgammaf (),
-.BR tgammal ():
-.nf
-    _ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L
-.fi
-.SH DESCRIPTION
-These functions calculate the Gamma function of
-.IR x .
-.P
-The Gamma function is defined by
-.P
-.RS
-Gamma(x) = integral from 0 to infinity of t\[ha](x\-1) e\[ha]\-t dt
-.RE
-.P
-It is defined for every real number except for nonpositive integers.
-For nonnegative integral
-.I m
-one has
-.P
-.RS
-Gamma(m+1) = m!
-.RE
-.P
-and, more generally, for all
-.IR x :
-.P
-.RS
-Gamma(x+1) = x * Gamma(x)
-.RE
-.P
-Furthermore, the following is valid for all values of
-.I x
-outside the poles:
-.P
-.RS
-Gamma(x) * Gamma(1 \- x) = PI / sin(PI * x)
-.RE
-.SH RETURN VALUE
-On success, these functions return Gamma(x).
-.P
-If
-.I x
-is a NaN, a NaN is returned.
-.P
-If
-.I x
-is positive infinity, positive infinity is returned.
-.P
-If
-.I x
-is a negative integer, or is negative infinity,
-a domain error occurs,
-and a NaN is returned.
-.P
-If the result overflows,
-a range error occurs,
-and the functions return
-.BR HUGE_VAL ,
-.BR HUGE_VALF ,
-or
-.BR HUGE_VALL ,
-respectively, with the correct mathematical sign.
-.P
-If the result underflows,
-a range error occurs,
-and the functions return 0, with the correct mathematical sign.
-.P
-If
-.I x
-is \-0 or +0,
-a pole error occurs,
-and the functions return
-.BR HUGE_VAL ,
-.BR HUGE_VALF ,
-or
-.BR HUGE_VALL ,
-respectively, with the same sign as the 0.
-.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
-Domain error: \fIx\fP is a negative integer, or negative infinity
-.I errno
-is set to
-.BR EDOM .
-An invalid floating-point exception
-.RB ( FE_INVALID )
-is raised (but see BUGS).
-.TP
-Pole error: \fIx\fP is +0 or \-0
-.I errno
-is set to
-.BR ERANGE .
-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.
-.P
-glibc also gives the following error which is not specified
-in C99 or POSIX.1-2001.
-.TP
-Range error: result underflow
-.\" e.g., tgamma(-172.5) on glibc 2.8/x86-32
-.\" .I errno
-.\" is set to
-.\" .BR ERANGE .
-An underflow floating-point exception
-.RB ( FE_UNDERFLOW )
-is raised, and
-.I errno
-is set to
-.BR ERANGE .
-.\" glibc (as at 2.8) also supports an inexact
-.\" exception for various cases.
-.SH ATTRIBUTES
-For an explanation of the terms used in this section, see
-.BR attributes (7).
-.TS
-allbox;
-lbx lb lb
-l l l.
-Interface	Attribute	Value
-T{
-.na
-.nh
-.BR tgamma (),
-.BR tgammaf (),
-.BR tgammal ()
-T}	Thread safety	MT-Safe
-.TE
-.SH STANDARDS
-C11, POSIX.1-2008.
-.SH HISTORY
-glibc 2.1.
-C99, POSIX.1-2001.
-.SH NOTES
-This function had to be called "true gamma function"
-since there is already a function
-.BR gamma (3)
-that returns something else (see
-.BR gamma (3)
-for details).
-.SH BUGS
-Before glibc 2.18, the glibc implementation of these functions did not set
-.\" https://www.sourceware.org/bugzilla/show_bug.cgi?id=6809
-.I errno
-to
-.B EDOM
-when
-.I x
-is negative infinity.
-.P
-Before glibc 2.19,
-.\" https://www.sourceware.org/bugzilla/show_bug.cgi?id=6810
-the glibc implementation of these functions did not set
-.I errno
-to
-.B ERANGE
-on an underflow range error.
-.P
-.\"
-In glibc versions 2.3.3 and earlier,
-an argument of +0 or \-0 incorrectly produced a domain error
-.RI ( errno
-set to
-.B EDOM
-and an
-.B FE_INVALID
-exception raised), rather than a pole error.
-.SH SEE ALSO
-.BR gamma (3),
-.BR lgamma (3)