From 4784c39e63e0d779fa98850910292bb686a99f29 Mon Sep 17 00:00:00 2001 From: bde Date: Sat, 13 Oct 2001 14:22:08 +0000 Subject: Removed most of the zombie man pages in libm. All relevant parts have been copied to msun/man (most of them long ago without proper history). --- lib/libm/common_source/exp.3 | 290 ------------------------------------------- 1 file changed, 290 deletions(-) delete mode 100644 lib/libm/common_source/exp.3 (limited to 'lib/libm/common_source/exp.3') diff --git a/lib/libm/common_source/exp.3 b/lib/libm/common_source/exp.3 deleted file mode 100644 index fa31db8..0000000 --- a/lib/libm/common_source/exp.3 +++ /dev/null @@ -1,290 +0,0 @@ -.\" 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. -.\" -.\" @(#)exp.3 8.2 (Berkeley) 4/19/94 -.\" $FreeBSD$ -.\" -.Dd April 19, 1994 -.Dt EXP 3 -.Os -.Sh NAME -.Nm exp , -.Nm expm1 , -.Nm log , -.Nm log10 , -.Nm log1p , -.Nm pow -.Nd exponential, logarithm, power functions -.Sh LIBRARY -.Lb libm -.Sh SYNOPSIS -.In math.h -.Ft double -.Fn exp "double x" -.Ft double -.Fn expm1 "double x" -.Ft double -.Fn log "double x" -.Ft double -.Fn log10 "double x" -.Ft double -.Fn log1p "double x" -.Ft double -.Fn pow "double x" "double y" -.Sh DESCRIPTION -The -.Fn exp -function computes the exponential value of the given argument -.Fa x . -.Pp -The -.Fn expm1 -function computes the value exp(x)\-1 accurately even for tiny argument -.Fa x . -.Pp -The -.Fn log -function computes the value for the natural logarithm of -the argument x. -.Pp -The -.Fn log10 -function computes the value for the logarithm of -argument -.Fa x -to base 10. -.Pp -The -.Fn log1p -function computes -the value of log(1+x) accurately even for tiny argument -.Fa x . -.Pp -The -.Fn pow -computes the value -of -.Ar x -to the exponent -.Ar y . -.Sh ERROR (due to Roundoff etc.) -exp(x), log(x), expm1(x) and log1p(x) are accurate to within -an -.Em up , -and log10(x) to within about 2 -.Em ups ; -an -.Em up -is one -.Em Unit -in the -.Em Last -.Em Place . -The error in -.Fn pow x y -is below about 2 -.Em ups -when its -magnitude is moderate, but increases as -.Fn pow x y -approaches -the over/underflow thresholds until almost as many bits could be -lost as are occupied by the floating\-point format's exponent -field; that is 8 bits for -.Tn "VAX D" -and 11 bits for IEEE 754 Double. -No such drastic loss has been exposed by testing; the worst -errors observed have been below 20 -.Em ups -for -.Tn "VAX D" , -300 -.Em ups -for -.Tn IEEE -754 Double. -Moderate values of -.Fn pow -are accurate enough that -.Fn pow integer integer -is exact until it is bigger than 2**56 on a -.Tn VAX , -2**53 for -.Tn IEEE -754. -.Sh RETURN VALUES -These functions will return the appropriate computation unless an error -occurs or an argument is out of range. -The functions -.Fn exp , -.Fn expm1 -and -.Fn pow -detect if the computed value will overflow, -set the global variable -.Va errno -to -.Er ERANGE -and cause a reserved operand fault on a -.Tn VAX -or -.Tn Tahoe . -The function -.Fn pow x y -checks to see if -.Fa x -< 0 and -.Fa y -is not an integer, in the event this is true, -the global variable -.Va errno -is set to -.Er EDOM -and on the -.Tn VAX -and -.Tn Tahoe -generate a reserved operand fault. -On a -.Tn VAX -and -.Tn Tahoe , -.Va errno -is set to -.Er EDOM -and the reserved operand is returned -by log unless -.Fa x -> 0, by -.Fn log1p -unless -.Fa x -> \-1. -.Sh NOTES -The functions exp(x)\-1 and log(1+x) are called -expm1 and logp1 in -.Tn BASIC -on the Hewlett\-Packard -.Tn HP Ns \-71B -and -.Tn APPLE -Macintosh, -.Tn EXP1 -and -.Tn LN1 -in Pascal, exp1 and log1 in C -on -.Tn APPLE -Macintoshes, where they have been provided to make -sure financial calculations of ((1+x)**n\-1)/x, namely -expm1(n\(**log1p(x))/x, will be accurate when x is tiny. -They also provide accurate inverse hyperbolic functions. -.Pp -The function -.Fn pow x 0 -returns x**0 = 1 for all x including x = 0, -.if n \ -Infinity -.if t \ -\(if -(not found on a -.Tn VAX ) , -and -.Em NaN -(the reserved -operand on a -.Tn VAX ) . -Previous implementations of pow may -have defined x**0 to be undefined in some or all of these -cases. Here are reasons for returning x**0 = 1 always: -.Bl -enum -width indent -.It -Any program that already tests whether x is zero (or -infinite or \*(Na) before computing x**0 cannot care -whether 0**0 = 1 or not. -Any program that depends -upon 0**0 to be invalid is dubious anyway since that -expression's meaning and, if invalid, its consequences -vary from one computer system to another. -.It -Some Algebra texts (e.g. Sigler's) define x**0 = 1 for -all x, including x = 0. -This is compatible with the convention that accepts a[0] -as the value of polynomial -.Bd -literal -offset indent -p(x) = a[0]\(**x**0 + a[1]\(**x**1 + a[2]\(**x**2 +...+ a[n]\(**x**n -.Ed -.Pp -at x = 0 rather than reject a[0]\(**0**0 as invalid. -.It -Analysts will accept 0**0 = 1 despite that x**y can -approach anything or nothing as x and y approach 0 -independently. -The reason for setting 0**0 = 1 anyway is this: -.Bd -ragged -offset indent -If x(z) and y(z) are -.Em any -functions analytic (expandable -in power series) in z around z = 0, and if there -x(0) = y(0) = 0, then x(z)**y(z) \(-> 1 as z \(-> 0. -.Ed -.It -If 0**0 = 1, then -.if n \ -infinity**0 = 1/0**0 = 1 too; and -.if t \ -\(if**0 = 1/0**0 = 1 too; and -then \*(Na**0 = 1 too because x**0 = 1 for all finite -and infinite x, i.e., independently of x. -.El -.Sh SEE ALSO -.Xr infnan 3 , -.Xr math 3 -.Sh HISTORY -A -.Fn exp , -.Fn log -and -.Fn pow -function -appeared in -.At v6 . -A -.Fn log10 -function -appeared in -.At v7 . -The -.Fn log1p -and -.Fn expm1 -functions appeared in -.Bx 4.3 . -- cgit v1.1