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+.\" $NetBSD: log.3,v 1.8 2024/01/26 19:27:30 nros Exp $
+.\"
+.\" Copyright (c) 2011 Jukka Ruohonen <jruohonen@iki.fi>
+.\" 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.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+.\"
+.Dd January 24, 2024
+.Dt LOG 3
+.Os
+.Sh NAME
+.Nm log ,
+.Nm logf ,
+.Nm logl ,
+.Nm log10 ,
+.Nm log10f ,
+.Nm log10l ,
+.Nm log1p ,
+.Nm log1pf ,
+.Nm log1pl ,
+.Nm log2 ,
+.Nm log2f
+.Nm log2l
+.Nd logarithm functions
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn log "double x"
+.Ft float
+.Fn logf "float x"
+.Ft long double
+.Fn logl "long double x"
+.Ft double
+.Fn log10 "double x"
+.Ft float
+.Fn log10f "float x"
+.Ft log double
+.Fn log10l "long double x"
+.Ft double
+.Fn log1p "double x"
+.Ft float
+.Fn log1pf "float x"
+.Ft long double
+.Fn log1pl "long double x"
+.Ft double
+.Fn log2 "double x"
+.Ft float
+.Fn log2f "float x"
+.Ft long double
+.Fn log2l "long double x"
+.Sh DESCRIPTION
+The following functions compute logarithms:
+.Bl -bullet -offset 2n
+.It
+The
+.Fn log ,
+.Fn logf
+and
+.Fn logl
+functions return the natural logarithm.
+.It
+The
+.Fn log10 ,
+.Fn log10f
+and
+.Fn log10l
+functions return the base 10 logarithm.
+.It
+The
+.Fn log1p ,
+.Fn log1pf
+and
+.Fn log1pl
+functions return the natural logarithm of (1.0 +
+.Fa x )
+accurately even for very small values of
+.Fa x .
+.It
+The
+.Fn log2 ,
+.Fn log2f
+and
+.Fn log2l
+functions return the base 2 logarithm.
+.El
+.Sh RETURN VALUES
+Upon successful completion, the functions return the logarithm of
+.Fa x
+as described above.
+Otherwise the following may occur:
+.Bl -enum -offset indent
+.It
+If
+.Fa x
+is \*(Na, all functions return \*(Na.
+.It
+If
+.Fa x
+is positive infinity, all functions return
+.Fa x .
+If
+.Fa x
+is negative infinity, all functions return \*(Na.
+.It
+If
+.Fa x
+is +0.0 or -0.0, the
+.Fn log ,
+.Fn log10 ,
+and
+.Fn log2
+families return either
+.Dv -HUGE_VAL ,
+.Dv -HUGE_VALF ,
+or
+.Dv -HUGE_VALL ,
+whereas the
+.Fn log1p
+family returns
+.Fa x .
+.It
+If
+.Fa x
+is +1.0, the
+.Fn log ,
+.Fn log10 ,
+and
+.Fn log2
+families return +0.0.
+If
+.Fa x
+is -1.0, the
+.Fn log1p
+family returns
+.Dv -HUGE_VAL ,
+.Dv -HUGE_VALF ,
+or
+.Dv -HUGE_VALL .
+.El
+.Pp
+In addition, on a
+.Tn VAX ,
+.Va errno
+is set to
+.Er EDOM
+and the reserved operand is returned
+by
+.Fn log
+unless
+.Fa x
+> 0, by
+.Fn log1p
+unless
+.Fa x
+> \-1.
+.Sh SEE ALSO
+.Xr exp 3 ,
+.Xr ilogb 3 ,
+.Xr math 3
+.Sh STANDARDS
+The described functions conform to
+.St -isoC-99 .
+.Sh HISTORY
+A
+.Fn log
+function appeared in
+.At v1 .