Module Name: src
Committed By: christos
Date: Tue Jan 12 15:51:01 UTC 2010
Modified Files:
src/lib/libm/man: exp.3
Log Message:
merge conflicting error sections.
To generate a diff of this commit:
cvs rdiff -u -r1.24 -r1.25 src/lib/libm/man/exp.3
Please note that diffs are not public domain; they are subject to the
copyright notices on the relevant files.
Modified files:
Index: src/lib/libm/man/exp.3
diff -u src/lib/libm/man/exp.3:1.24 src/lib/libm/man/exp.3:1.25
--- src/lib/libm/man/exp.3:1.24 Mon Jan 11 11:28:39 2010
+++ src/lib/libm/man/exp.3 Tue Jan 12 10:51:01 2010
@@ -27,9 +27,9 @@
.\"
.\" from: @(#)exp.3 6.12 (Berkeley) 7/31/91
.\" $FreeBSD: src/lib/msun/man/exp.3,v 1.24 2008/01/18 21:43:00 das Exp $
-.\" $NetBSD: exp.3,v 1.24 2010/01/11 16:28:39 christos Exp $
+.\" $NetBSD: exp.3,v 1.25 2010/01/12 15:51:01 christos Exp $
.\"
-.Dd January 11, 2010
+.Dd January 12, 2010
.Dt EXP 3
.Os
.Sh NAME
@@ -151,17 +151,6 @@
.Ar x
to the exponent
.Ar y .
-.Sh ERROR (due to Roundoff etc.)
-The values of
-.Fn exp 0 ,
-.Fn expm1 0 ,
-.Fn exp2 integer ,
-and
-.Fn pow integer integer
-are exact provided that they are representable.
-.\" XXX Is this really true for pow()?
-Otherwise the error in these functions is generally below one
-.Em ulp .
.Sh RETURN VALUES
These functions will return the appropriate computation unless an error
occurs or an argument is out of range.
@@ -205,10 +194,19 @@
.Fa x
\*[Gt] \-1.
.Sh ERRORS
-exp(x), log(x), expm1(x) and log1p(x) are accurate to within
-an
-.Em ulp ,
-and log10(x) to within about 2
+The values of
+.Fn exp x ,
+.Fn expm1 x ,
+.Fn exp2 x ,
+.Fn log x ,
+and
+.Fn log1p x ,
+are exact provided that they are representable.
+Otherwise the error in these functions is generally below one
+.Em ulp .
+The values of
+.Fn log10 x
+are within about 2
.Em ulps ;
an
.Em ulp
@@ -241,7 +239,7 @@
.Tn IEEE
754 Double.
Moderate values of
-.Fn pow
+.Fn pow x y
are accurate enough that
.Fn pow integer integer
is exact until it is bigger than 2**56 on a
@@ -250,8 +248,15 @@
.Tn IEEE
754.
.Sh NOTES
-The functions exp(x)\-1 and log(1+x) are called
-expm1 and logp1 in
+The functions
+.Fn exp x\ \-\ 1
+and
+.Fn log 1\ \+\ x
+are called
+.Fn expm1 x
+and
+.Fn logp1 x
+in
.Tn BASIC
on the Hewlett\-Packard
.Tn HP Ns \-71B
@@ -261,12 +266,16 @@
.Tn EXP1
and
.Tn LN1
-in Pascal, exp1 and log1 in C
+in Pascal,
+.Fn exp1 x
+and
+.Fn log1 x
+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.
+expm1(n*log1p(x))/x, will be accurate when x is tiny.
They also provide accurate inverse hyperbolic functions.
.Pp
The function
