- typos

- new sentence, new line

6 files changed, 34 insertions, 31 deletions

diff --git a/lib/libm/man/exp.3 b/lib/libm/man/exp.3
index 3e6b82d5fff..025f30b3e4d 100644
--- a/lib/libm/man/exp.3
+++ b/lib/libm/man/exp.3
@@ -1,4 +1,4 @@
-.\"	$OpenBSD: exp.3,v 1.13 2003/05/08 09:09:45 jmc Exp $
+.\"	$OpenBSD: exp.3,v 1.14 2003/05/20 09:17:51 jmc Exp $
 .\"
 .\" Copyright (c) 1985, 1991 Regents of the University of California.
 .\" All rights reserved.
@@ -83,7 +83,7 @@ function computes the exponential value of the given argument
 .Fa x .
 The
 .Fn expf
-function is a single precision version of 
+function is a single precision version of
 .Fn exp .
 .Pp
 The
@@ -189,7 +189,8 @@ and
 .Fn pow
 detect if the computed value will overflow,
 set the global variable
-.Va errno to
+.Va errno
+to
 .Er ERANGE
 and cause a reserved operand fault on a
 .Tn VAX
@@ -259,15 +260,16 @@ 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:
+.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
+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
diff --git a/lib/libm/man/hypot.3 b/lib/libm/man/hypot.3
index c750fe520e4..16e1d468701 100644
--- a/lib/libm/man/hypot.3
+++ b/lib/libm/man/hypot.3
@@ -1,4 +1,4 @@
-.\"	$OpenBSD: hypot.3,v 1.9 2003/05/08 09:09:45 jmc Exp $
+.\"	$OpenBSD: hypot.3,v 1.10 2003/05/20 09:17:51 jmc Exp $
 .\" Copyright (c) 1985, 1991 Regents of the University of California.
 .\" All rights reserved.
 .\"
@@ -57,7 +57,7 @@ The
 and
 .Fn cabs
 functions
-computes the
+compute the
 sqrt(x*x+y*y)
 in such a way that underflow will not happen, and overflow
 occurs only if the final result deserves it.
@@ -104,7 +104,7 @@ same is true on a
 .Tn VAX .
 But programmers on machines other than a
 .Tn VAX
-(if has no \*(If)
+(it has no \*(If)
 might be surprised at first to discover that
 .Fn hypot "\(+-\*(If" "\*(Na"
 = +\*(If.
diff --git a/lib/libm/man/ieee.3 b/lib/libm/man/ieee.3
index 1b5e354d3b1..a3e4598f84f 100644
--- a/lib/libm/man/ieee.3
+++ b/lib/libm/man/ieee.3
@@ -1,4 +1,4 @@
-.\"	$OpenBSD: ieee.3,v 1.7 2003/02/28 19:58:41 jason Exp $
+.\"	$OpenBSD: ieee.3,v 1.8 2003/05/20 09:17:51 jmc Exp $
 .\" Copyright (c) 1985, 1991 Regents of the University of California.
 .\" All rights reserved.
 .\"
@@ -48,7 +48,7 @@
 .Nm remainderf ,
 .Nm scalbn ,
 .Nm scalbnf
-.Nd Functions for IEEE arithmetic
+.Nd functions for IEEE arithmetic
 .Sh SYNOPSIS
 .Fd #include <math.h>
 .Ft double
@@ -100,7 +100,7 @@ zero is returned
 .Pf \\*(Ba Ns Fa x Ns \\*(Ba
 = \*(If or
 .Fa x
-is \*(Na
+is \*(Na.
 The
 .Fn finitef
 function is a single precision version of
@@ -156,8 +156,8 @@ moreover if
 1/2
 then
 .Fa n
-is even.  Consequently
-the remainder is computed exactly and
+is even.
+Consequently, the remainder is computed exactly and
 .Sm off
 .Pf \\*(Ba Fa r No \\*(Ba
 .Sm on
diff --git a/lib/libm/man/infnan.3 b/lib/libm/man/infnan.3
index 77092d869b5..4a932767f34 100644
--- a/lib/libm/man/infnan.3
+++ b/lib/libm/man/infnan.3
@@ -1,4 +1,4 @@
-.\"	$OpenBSD: infnan.3,v 1.6 2003/03/06 20:13:15 jmc Exp $
+.\"	$OpenBSD: infnan.3,v 1.7 2003/05/20 09:17:51 jmc Exp $
 .\"
 .\" Copyright (c) 1985, 1991, 1993
 .\"	The Regents of the University of California.  All rights reserved.
@@ -54,8 +54,8 @@ Floating\-Point Arithmetic will be simulated in
 .Tn UNIX
 on the
 .Tn DEC VAX
-by using its Reserved Operands.  Meanwhile, the
-Invalid, Overflow and Divide\-by\-Zero exceptions of the
+by using its Reserved Operands.
+Meanwhile, the Invalid, Overflow and Divide\-by\-Zero exceptions of the
 .Tn IEEE
 standard are being approximated on a
 .Tn VAX
@@ -91,7 +91,8 @@ exceptions, it calls
 with an appropriate value of
 .Fa iarg .
 Then a
-reserved operand fault stops computation.  But
+reserved operand fault stops computation.
+But
 .Fn infnan
 could
 be replaced by a function with the same name that returns
@@ -100,15 +101,15 @@ variable
 .Va errno ,
 and allows computation to resume.
 Alternatively, the Reserved Operand Fault Handler could be
-changed to respond by returning that plausible value, etc.
+changed to respond by returning that plausible value, etc.,
 instead of aborting.
 .Pp
 In the table below, the first two columns show various
 exceptions signaled by the
 .Tn IEEE
 standard, and the default
-result it prescribes.  The third column shows what value is
-given to
+result it prescribes.
+The third column shows what value is given to
 .Fa iarg
 by functions in
 .Em libm
@@ -120,14 +121,15 @@ under analogous circumstances on a
 Currently
 .Fn infnan
 stops computation under all those
-circumstances.  The last two columns offer an alternative;
+circumstances.
+The last two columns offer an alternative;
 they suggest a setting for
 .Va errno
 and a value for a
 revised
 .Fn infnan
-to return.  And a C program to
-implement that suggestion follows.
+to return.
+And a C program to implement that suggestion follows.
 .sp 0.5
 .Bd -filled -offset indent
 .Bl -column "IEEE Sig" "IEEE Default" XXERANGE ERANGExEDOM
diff --git a/lib/libm/man/sin.3 b/lib/libm/man/sin.3
index 272b8b65c78..c3277d21e03 100644
--- a/lib/libm/man/sin.3
+++ b/lib/libm/man/sin.3
@@ -1,4 +1,4 @@
-.\"	$OpenBSD: sin.3,v 1.8 2003/02/27 04:44:46 jason Exp $
+.\"	$OpenBSD: sin.3,v 1.9 2003/05/20 09:17:51 jmc Exp $
 .\" Copyright (c) 1991 The Regents of the University of California.
 .\" All rights reserved.
 .\"
@@ -51,7 +51,7 @@ The
 function computes the sine of
 .Fa x
 (measured in radians).
-The    
+The
 .Fn sinf
 function is a single precision version of
 .Fn sin .
@@ -72,7 +72,6 @@ functions return the sine value.
 .Xr atan2 3 ,
 .Xr cosh 3 ,
 .Xr math 3 ,
-.Xr sin 3 ,
 .Xr sinh 3 ,
 .Xr tan 3 ,
 .Xr tanh 3
diff --git a/lib/libm/man/sinh.3 b/lib/libm/man/sinh.3
index 42f188c4180..58d4f019eff 100644
--- a/lib/libm/man/sinh.3
+++ b/lib/libm/man/sinh.3
@@ -1,4 +1,4 @@
-.\"	$OpenBSD: sinh.3,v 1.8 2003/02/27 04:44:46 jason Exp $
+.\"	$OpenBSD: sinh.3,v 1.9 2003/05/20 09:17:51 jmc Exp $
 .\" Copyright (c) 1991 The Regents of the University of California.
 .\" All rights reserved.
 .\"
@@ -59,7 +59,7 @@ The
 and
 .Fn sinhf
 functions return the hyperbolic sine value unless
-the  magnitude
+the magnitude
 of
 .Fa x
 is too large; in this event, the global variable