Introduce a new log(3) manpage and move the relevant functions there.
Document exp2l() in exp(3), and remove the quaint discussion of topics such as what these functions were called on the HP-71B's variant of BASIC.
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@ -28,7 +28,7 @@
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.\" from: @(#)exp.3 6.12 (Berkeley) 7/31/91
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.\" $FreeBSD$
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.\"
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.Dd April 5, 2005
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.Dd January 17, 2008
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.Dt EXP 3
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.Os
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.Sh NAME
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@ -37,17 +37,12 @@
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.\" The sorting error is intentional. exp and expf should be adjacent.
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.Nm exp2 ,
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.Nm exp2f ,
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.Nm exp2l ,
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.Nm expm1 ,
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.Nm expm1f ,
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.Nm log ,
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.Nm logf ,
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.Nm log10 ,
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.Nm log10f ,
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.Nm log1p ,
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.Nm log1pf ,
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.Nm pow ,
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.Nm powf
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.Nd exponential, logarithm, power functions
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.Nd exponential and power functions
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.Sh LIBRARY
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.Lb libm
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.Sh SYNOPSIS
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@ -60,23 +55,13 @@
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.Fn exp2 "double x"
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.Ft float
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.Fn exp2f "float x"
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.Ft long double
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.Fn exp2l "long double x"
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.Ft double
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.Fn expm1 "double x"
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.Ft float
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.Fn expm1f "float x"
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.Ft double
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.Fn log "double x"
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.Ft float
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.Fn logf "float x"
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.Ft double
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.Fn log10 "double x"
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.Ft float
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.Fn log10f "float x"
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.Ft double
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.Fn log1p "double x"
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.Ft float
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.Fn log1pf "float x"
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.Ft double
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.Fn pow "double x" "double y"
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.Ft float
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.Fn powf "float x" "float y"
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@ -91,9 +76,10 @@ exponential value of the given argument
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.Fa x .
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.Pp
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The
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.Fn exp2
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and the
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.Fn exp2f
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.Fn exp2 ,
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.Fn exp2f ,
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and
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.Fn exp2l
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functions compute the base 2 exponential of the given argument
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.Fa x .
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.Pp
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@ -105,29 +91,6 @@ functions compute the value exp(x)\-1 accurately even for tiny argument
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.Fa x .
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.Pp
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The
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.Fn log
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and the
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.Fn logf
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functions compute the value of the natural logarithm of argument
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.Fa x .
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.Pp
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The
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.Fn log10
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and the
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.Fn log10f
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functions compute the value of the logarithm of argument
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.Fa x
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to base 10.
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.Pp
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The
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.Fn log1p
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and the
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.Fn log1pf
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functions compute
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the value of log(1+x) accurately even for tiny argument
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.Fa x .
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.Pp
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The
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.Fn pow
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and the
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.Fn powf
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@ -159,30 +122,7 @@ raise an invalid exception and return an \*(Na if
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< 0 and
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.Fa y
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is not an integer.
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An attempt to take the logarithm of \*(Pm0 will result in
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a divide-by-zero exception, and an infinity will be returned.
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An attempt to take the logarithm of a negative number will
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result in an invalid exception, and an \*(Na will be generated.
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.Sh NOTES
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The functions exp(x)\-1 and log(1+x) are called
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expm1 and logp1 in
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.Tn BASIC
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on the Hewlett\-Packard
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.Tn HP Ns \-71B
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and
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.Tn APPLE
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Macintosh,
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.Tn EXP1
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and
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.Tn LN1
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in Pascal, exp1 and log1 in C
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on
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.Tn APPLE
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Macintoshes, where they have been provided to make
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sure financial calculations of ((1+x)**n\-1)/x, namely
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expm1(n\(**log1p(x))/x, will be accurate when x is tiny.
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They also provide accurate inverse hyperbolic functions.
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.Pp
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The function
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.Fn pow x 0
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returns x**0 = 1 for all x including x = 0, \*(If, and \*(Na .
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@ -229,4 +169,9 @@ and infinite x, i.e., independently of x.
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.El
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.Sh SEE ALSO
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.Xr fenv 3 ,
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.Xr ldexp 3 ,
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.Xr log 3 ,
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.Xr math 3
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.Sh STANDARDS
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These functions conform to
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.St -isoC-99 .
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104
lib/msun/man/log.3
Normal file
104
lib/msun/man/log.3
Normal file
@ -0,0 +1,104 @@
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.\" Copyright (c) 2008 David Schultz <das@FreeBSD.org>
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.\" All rights reserved.
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.\"
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.\" Redistribution and use in source and binary forms, with or without
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.\" modification, are permitted provided that the following conditions
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.\" are met:
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.\" 1. Redistributions of source code must retain the above copyright
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.\" notice, this list of conditions and the following disclaimer.
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.\" 2. Redistributions in binary form must reproduce the above copyright
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.\" notice, this list of conditions and the following disclaimer in the
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.\" documentation and/or other materials provided with the distribution.
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.\"
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.\" THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
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.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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.\" ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
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.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
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.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
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.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
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.\" SUCH DAMAGE.
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.\"
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.\" $FreeBSD$
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.\"
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.Dd January 17, 2008
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.Dt LOG 3
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.Os
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.Sh NAME
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.Nm log ,
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.Nm logf ,
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.Nm logl ,
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.Nm log10 ,
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.Nm log10f ,
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.Nm log1p ,
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.Nm log1pf
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.Nd logarithm functions
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.Sh LIBRARY
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.Lb libm
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.Sh SYNOPSIS
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.In math.h
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.Ft double
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.Fn log "double x"
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.Ft float
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.Fn logf "float x"
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.Ft double
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.Fn log10 "double x"
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.Ft float
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.Fn log10f "float x"
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.Ft double
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.Fn log1p "double x"
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.Ft float
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.Fn log1pf "float x"
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.Sh DESCRIPTION
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The
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.Fn log
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and
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.Fn logf
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functions compute the natural logarithm of
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.Fa x .
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.Pp
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The
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.Fn log10
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and
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.Fn log10f
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functions compute the logarithm base 10 of
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.Fa x .
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.Pp
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The
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.Fn log1p
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and
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.Fn log1pf
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functions compute the natural logarithm of
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.No "1 + x" .
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Computing the natural logarithm as
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.Li log1p(x)
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is more accurate than computing it as
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.Li log(1 + x)
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when
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.Fa x
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is close to zero.
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.Sh RETURN VALUES
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These functions return the requested logarithm; the logarithm of 1 is +0.
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An attempt to take the logarithm of \*(Pm0 results in a divide-by-zero
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exception, and -\*(If is returned.
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Otherwise, attempting to take the logarithm of a negative number
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results in an invalid exception and a return value of \*(Na.
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.Sh SEE ALSO
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.Xr exp 3 ,
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.Xr ilogb 3 ,
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.Xr math 3 ,
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.Xr pow 3
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.Sh STANDARDS
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The
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.Fn log ,
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.Fn logf ,
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.Fn log10 ,
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.Fn log10f ,
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.Fn log1p ,
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and
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.Fn log1pf
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functions conform to
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.St -isoC-99 .
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