section reorder;

4 files changed, 71 insertions, 71 deletions

diff --git a/lib/libm/man/exp.3 b/lib/libm/man/exp.3
index 025f30b3e4d..a136d4d98b8 100644
--- a/lib/libm/man/exp.3
+++ b/lib/libm/man/exp.3
@@ -1,4 +1,4 @@
-.\"	$OpenBSD: exp.3,v 1.14 2003/05/20 09:17:51 jmc Exp $
+.\"	$OpenBSD: exp.3,v 1.15 2003/06/02 10:42:43 jmc Exp $
 .\"
 .\" Copyright (c) 1985, 1991 Regents of the University of California.
 .\" All rights reserved.
@@ -134,51 +134,6 @@ The
 .Fn powf
 function is a single precision version of
 .Fn pow .
-.Sh ERRORS (due to Roundoff etc.)
-exp(x), log(x), expm1(x) and log1p(x) are accurate to within
-an
-.Em ulp ,
-and log10(x) to within about 2
-.Em ulps ;
-an
-.Em ulp
-is one
-.Em Unit
-in the
-.Em Last
-.Em Place .
-The error in
-.Fn pow x y
-is below about 2
-.Em ulps
-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 ulps
-for
-.Tn "VAX D" ,
-300
-.Em ulps
-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.
@@ -227,6 +182,51 @@ by log unless
 unless
 .Fa x
 > \-1.
+.Sh ERRORS (due to Roundoff etc.)
+exp(x), log(x), expm1(x) and log1p(x) are accurate to within
+an
+.Em ulp ,
+and log10(x) to within about 2
+.Em ulps ;
+an
+.Em ulp
+is one
+.Em Unit
+in the
+.Em Last
+.Em Place .
+The error in
+.Fn pow x y
+is below about 2
+.Em ulps
+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 ulps
+for
+.Tn "VAX D" ,
+300
+.Em ulps
+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 NOTES
 The functions exp(x)\-1 and log(1+x) are called
 expm1 and logp1 in
diff --git a/lib/libm/man/hypot.3 b/lib/libm/man/hypot.3
index 16e1d468701..4bfe6331efa 100644
--- a/lib/libm/man/hypot.3
+++ b/lib/libm/man/hypot.3
@@ -1,4 +1,4 @@
-.\"	$OpenBSD: hypot.3,v 1.10 2003/05/20 09:17:51 jmc Exp $
+.\"	$OpenBSD: hypot.3,v 1.11 2003/06/02 10:42:43 jmc Exp $
 .\" Copyright (c) 1985, 1991 Regents of the University of California.
 .\" All rights reserved.
 .\"
@@ -126,13 +126,6 @@ the
 \*(Na is designed to
 disappear when it turns out to be irrelevant, as it does in
 .Fn hypot "\*(If" "\*(Na" .
-.Sh BUGS
-The
-.Fn cabs
-and
-.Fn cabsf
-functions use structures that are not defined in any header and need to
-be defined by the user. As such they cannot be prototyped properly.
 .Sh SEE ALSO
 .Xr math 3 ,
 .Xr sqrt 3
@@ -144,3 +137,10 @@ function and a
 function
 appeared in
 .At v7 .
+.Sh BUGS
+The
+.Fn cabs
+and
+.Fn cabsf
+functions use structures that are not defined in any header and need to
+be defined by the user. As such they cannot be prototyped properly.
diff --git a/lib/libm/man/ieee.3 b/lib/libm/man/ieee.3
index a3e4598f84f..5c0c58d4c0d 100644
--- a/lib/libm/man/ieee.3
+++ b/lib/libm/man/ieee.3
@@ -1,4 +1,4 @@
-.\"	$OpenBSD: ieee.3,v 1.8 2003/05/20 09:17:51 jmc Exp $
+.\"	$OpenBSD: ieee.3,v 1.9 2003/06/02 10:42:43 jmc Exp $
 .\" Copyright (c) 1985, 1991 Regents of the University of California.
 .\" All rights reserved.
 .\"
@@ -185,10 +185,10 @@ function is a single precision version of
 .Fn scalbn .
 .Sh SEE ALSO
 .Xr math 3
+.Sh STANDARDS
+.St -ieee754
 .Sh HISTORY
 The
 .Nm ieee
 functions appeared in
 .Bx 4.3 .
-.Sh STANDARDS
-.St -ieee754
diff --git a/lib/libm/man/math.3 b/lib/libm/man/math.3
index 273503b251b..fd98233f03f 100644
--- a/lib/libm/man/math.3
+++ b/lib/libm/man/math.3
@@ -1,4 +1,4 @@
-.\"	$OpenBSD: math.3,v 1.16 2003/05/05 18:44:43 jason Exp $
+.\"	$OpenBSD: math.3,v 1.17 2003/06/02 10:42:43 jmc Exp $
 .\" Copyright (c) 1985 Regents of the University of California.
 .\" All rights reserved.
 .\"
@@ -694,19 +694,6 @@ response will serve most instances satisfactorily,
 the unsatisfactory instances cannot justify aborting
 computation every time the exception occurs.
 .El
-.Sh BUGS
-When signals are appropriate, they are emitted by certain
-operations within
-.Em libm ,
-so a subroutine-trace may be needed to identify the function with its
-signal in case method 5) above is in use.
-All the code in
-.Em libm
-takes the
-.St -ieee754
-defaults for granted; this means that a decision to
-trap all divisions by zero could disrupt a function that would
-otherwise get a correct result despite division by zero.
 .Sh SEE ALSO
 An explanation of
 .St -ieee754
@@ -726,3 +713,16 @@ magazine COMPUTER vol. 14 no. 3 (Mar. 1981), and in the
 .Tn ACM SIGNUM
 Newsletter Special Issue of Oct. 1979, may be helpful although they pertain to
 superseded drafts of the standard.
+.Sh BUGS
+When signals are appropriate, they are emitted by certain
+operations within
+.Em libm ,
+so a subroutine-trace may be needed to identify the function with its
+signal in case method 5) above is in use.
+All the code in
+.Em libm
+takes the
+.St -ieee754
+defaults for granted; this means that a decision to
+trap all divisions by zero could disrupt a function that would
+otherwise get a correct result despite division by zero.