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-.\" Copyright (c) 1985, 1991 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.
-.\"
-.\"     from: @(#)lgamma.3	6.6 (Berkeley) 12/3/92
-.\" $FreeBSD: src/lib/msun/man/lgamma.3,v 1.22 2005/01/16 16:46:14 ru Exp $
-.\"
-.Dd January 14, 2005
-.Dt LGAMMA 3
-.Os
-.Sh NAME
-.Nm lgamma ,
-.Nm lgamma_r ,
-.Nm lgammaf ,
-.Nm lgammaf_r ,
-.Nm gamma ,
-.Nm gamma_r ,
-.Nm gammaf ,
-.Nm gammaf_r ,
-.Nm tgamma
-.Nd log gamma functions, 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 lgamma_r "double x" "int *signgamp"
-.Ft float
-.Fn lgammaf "float x"
-.Ft float
-.Fn lgammaf_r "float x" "int *signgamp"
-.Ft double
-.Fn gamma "double x"
-.Ft double
-.Fn gamma_r "double x" "int *signgamp"
-.Ft float
-.Fn gammaf "float x"
-.Ft float
-.Fn gammaf_r "float x" "int *signgamp"
-.Ft double
-.Fn tgamma "double x"
-.Sh DESCRIPTION
-.Fn lgamma x
-and
-.Fn lgammaf x
-.if t \{\
-return 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
-\(*G(x) = \(*p/(\(*G(1\-x)\|sin(\(*px))	for x < 1.
-.Ed
-.\}
-.if n \
-return ln\||\(*G(x)|.
-.Pp
-The external integer
-.Fa signgam
-returns the sign of \(*G(x).
-.Pp
-.Fn lgamma_r x signgamp
-and
-.Fn lgammaf_r x signgamp
-provide the same functionality as
-.Fn lgamma x
-and
-.Fn lgammaf x
-but the caller must provide an integer to store the sign of \(*G(x).
-.Pp
-.Fn gamma ,
-.Fn gammaf ,
-.Fn gamma_r ,
-and
-.Fn gammaf_r
-are deprecated aliases for
-.Fn lgamma ,
-.Fn lgammaf ,
-.Fn lgamma_r ,
-and
-.Fn lgammaf_r ,
-respectively.
-.Fn tgamma 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
-or
-.Fn lgammaf
-has returned can signgam be correct.
-.Pp
-For arguments in its range,
-.Fn tgamma
-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 ,
-.Fn gamma_r ,
-.Fn gammaf ,
-.Fn gammaf_r ,
-.Fn lgamma ,
-.Fn lgamma_r ,
-.Fn lgammaf ,
-and
-.Fn lgammaf_r
-return appropriate values unless an argument is out of range.
-Overflow will occur for sufficiently large positive values, and
-non-positive integers.
-For large non-integer negative values,
-.Fn tgamma
-will underflow.
-.Sh SEE ALSO
-.Xr math 3
-.Sh STANDARDS
-The
-.Fn lgamma
-and
-.Fn tgamma
-functions are expected to conform to
-.St -isoC-99 .
-.Sh HISTORY
-The
-.Fn lgamma
-function appeared in
-.Bx 4.3 .
-The
-.Fn gamma
-function appeared in
-.Bx 4.4
-as a function which computed \(*G(x).
-This version was used in
-.Fx 1.1 .
-The name
-.Fn gamma
-was originally dedicated to the
-.Fn lgamma
-function,
-and that usage was restored by switching to Sun's fdlibm in
-.Fx 1.1.5 .
-The
-.Fn tgamma
-function appeared in
-.Fx 5.0 .