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-.\" Copyright (c) 1985, 1991, 1993
-.\"	The Regents of the University of California.  All rights reserved.
-.\"
-.\" Redistribution and use in source and binary forms, with or without
-.\" modification, are permitted provided that the following conditions
-.\" are met:
-.\" 1. Redistributions of source code must retain the above copyright
-.\"    notice, this list of conditions and the following disclaimer.
-.\" 2. Redistributions in binary form must reproduce the above copyright
-.\"    notice, this list of conditions and the following disclaimer in the
-.\"    documentation and/or other materials provided with the distribution.
-.\" 3. All advertising materials mentioning features or use of this software
-.\"    must display the following acknowledgement:
-.\"	This product includes software developed by the University of
-.\"	California, Berkeley and its contributors.
-.\" 4. Neither the name of the University nor the names of its contributors
-.\"    may be used to endorse or promote products derived from this software
-.\"    without specific prior written permission.
-.\"
-.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
-.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
-.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
-.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
-.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
-.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
-.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
-.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
-.\" SUCH DAMAGE.
-.\"
-.\"     @(#)lgamma.3	8.2 (Berkeley) 12/11/93
-.\" $FreeBSD$
-.\"
-.Dd December 11, 1993
-.Dt LGAMMA 3
-.Os
-.Sh NAME
-.Nm lgamma
-.Nm gamma
-.Nd log gamma function, gamma function
-.Sh LIBRARY
-.Lb libm
-.Sh SYNOPSIS
-.In math.h
-.Ft extern int
-.Fa signgam ;
-.sp
-.Ft double
-.Fn lgamma "double x"
-.Ft double
-.Fn gamma "double x"
-.Sh DESCRIPTION
-.Fn Lgamma x
-.if t \{\
-returns ln\||\(*G(x)| where
-.Bd -unfilled -offset indent
-\(*G(x) = \(is\d\s8\z0\s10\u\u\s8\(if\s10\d t\u\s8x\-1\s10\d e\u\s8\-t\s10\d dt	for x > 0 and
-.br
-\(*G(x) = \(*p/(\(*G(1\-x)\|sin(\(*px))	for x < 1.
-.Ed
-.\}
-.if n \
-returns ln\||\(*G(x)|.
-.Pp
-The external integer
-.Fa signgam
-returns the sign of \(*G(x).
-.Pp
-.Fn Gamma x
-returns \(*G(x), with no effect on
-.Fa signgam .
-.Sh IDIOSYNCRASIES
-Do not use the expression
-.Dq Li signgam\(**exp(lgamma(x))
-to compute g := \(*G(x).
-Instead use a program like this (in C):
-.Bd -literal -offset indent
-lg = lgamma(x); g = signgam\(**exp(lg);
-.Ed
-.Pp
-Only after
-.Fn lgamma
-has returned can signgam be correct.
-.Pp
-For arguments in its range,
-.Fn gamma
-is preferred, as for positive arguments
-it is accurate to within one unit in the last place.
-Exponentiation of
-.Fn lgamma
-will lose up to 10 significant bits.
-.Sh RETURN VALUES
-.Fn Gamma
-and
-.Fn lgamma
-return appropriate values unless an argument is out of range.
-Overflow will occur for sufficiently large positive values, and
-non-positive integers.
-On the
-.Tn VAX ,
-the reserved operator is returned,
-and
-.Va errno
-is set to
-.Er ERANGE .
-For large non-integer negative values,
-.Fn gamma
-will underflow.
-.Sh SEE ALSO
-.Xr infnan 3 ,
-.Xr math 3
-.Sh HISTORY
-The
-.Fn lgamma
-function appeared in
-.Bx 4.3 .
-The
-.Fn gamma
-function appeared in
-.Bx 4.4 .
-The name
-.Fn gamma
-was originally dedicated to the
-.Fn lgamma
-function, so some old code may no longer be compatible.