Remove whitespace at EOL.

14 files changed, 36 insertions, 36 deletions

diff --git a/lib/libm/common_source/acos.3 b/lib/libm/common_source/acos.3
index ceff4c7..b19dde4 100644
--- a/lib/libm/common_source/acos.3
+++ b/lib/libm/common_source/acos.3
@@ -53,7 +53,7 @@ A domain error occurs for arguments not in the range [-1, +1].
 For a discussion of error due to roundoff, see
 .Xr math 3 .
 .Sh RETURN VALUES
-The 
+The
 .Fn acos
 function returns the arc cosine in the range
 .Bq 0 , \*(Pi
diff --git a/lib/libm/common_source/acosh.3 b/lib/libm/common_source/acosh.3
index a0b8498..495f3d7 100644
--- a/lib/libm/common_source/acosh.3
+++ b/lib/libm/common_source/acosh.3
@@ -80,5 +80,5 @@ causes a reserved operand fault.
 .Sh HISTORY
 The
 .Fn acosh
-function appeared in 
+function appeared in
 .Bx 4.3 .
diff --git a/lib/libm/common_source/asinh.3 b/lib/libm/common_source/asinh.3
index a69e00f..7266dad 100644
--- a/lib/libm/common_source/asinh.3
+++ b/lib/libm/common_source/asinh.3
@@ -68,5 +68,5 @@ returns the inverse hyperbolic sine of
 .Sh HISTORY
 The
 .Fn asinh
-function appeared in 
+function appeared in
 .Bx 4.3 .
diff --git a/lib/libm/common_source/atan2.3 b/lib/libm/common_source/atan2.3
index 4ad7ad5..dba32d4 100644
--- a/lib/libm/common_source/atan2.3
+++ b/lib/libm/common_source/atan2.3
@@ -55,7 +55,7 @@ the return value.
 The
 .Xr atan2
 function, if successful,
-returns the arc tangent of 
+returns the arc tangent of
 .Ar y/ Ns Ar x
 in the range
 .Bk -words
diff --git a/lib/libm/common_source/cos.3 b/lib/libm/common_source/cos.3
index b0a7c46..6695270 100644
--- a/lib/libm/common_source/cos.3
+++ b/lib/libm/common_source/cos.3
@@ -50,7 +50,7 @@ The
 function computes the cosine of
 .Fa x
 (measured in radians).
-A large magnitude argument may yield a result with little or no 
+A large magnitude argument may yield a result with little or no
 significance.
 For a discussion of error due to roundoff, see
 .Xr math 3 .
diff --git a/lib/libm/common_source/cosh.3 b/lib/libm/common_source/cosh.3
index 091dcc1..47cb320 100644
--- a/lib/libm/common_source/cosh.3
+++ b/lib/libm/common_source/cosh.3
@@ -58,7 +58,7 @@ of
 is too large; in this event, the global variable
 .Va errno
 is set to
-.Er ERANGE . 
+.Er ERANGE .
 .Sh SEE ALSO
 .Xr acos 3 ,
 .Xr asin 3 ,
diff --git a/lib/libm/common_source/erf.3 b/lib/libm/common_source/erf.3
index 442a1b3..d0f4071 100644
--- a/lib/libm/common_source/erf.3
+++ b/lib/libm/common_source/erf.3
@@ -58,7 +58,7 @@ calculates the error function of x; where
 .if n \{\
 erf(x) = 2/sqrt(pi)\(**\|integral from 0 to x of exp(\-t\(**t) dt. \}
 .if t \{\
-erf\|(x) := 
+erf\|(x) :=
 (2/\(sr\(*p)\|\(is\d\s8\z0\s10\u\u\s8x\s10\d\|exp(\-t\u\s82\s10\d)\|dt. \}
 .Ed
 .Pp
diff --git a/lib/libm/common_source/exp.3 b/lib/libm/common_source/exp.3
index 3c8a5aa..ae54b7f 100644
--- a/lib/libm/common_source/exp.3
+++ b/lib/libm/common_source/exp.3
@@ -96,7 +96,7 @@ of
 to the exponent
 .Ar y .
 .Sh ERROR (due to Roundoff etc.)
-exp(x), log(x), expm1(x) and log1p(x) are accurate to within 
+exp(x), log(x), expm1(x) and log1p(x) are accurate to within
 an
 .Em up ,
 and log10(x) to within about 2
@@ -231,10 +231,10 @@ 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 
+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 
+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
@@ -252,7 +252,7 @@ The reason for setting 0**0 = 1 anyway is this:
 If x(z) and y(z) are
 .Em any
 functions analytic (expandable
-in power series) in z around z = 0, and if there 
+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
diff --git a/lib/libm/common_source/ieee.3 b/lib/libm/common_source/ieee.3
index c918418..c0e0474 100644
--- a/lib/libm/common_source/ieee.3
+++ b/lib/libm/common_source/ieee.3
@@ -46,15 +46,15 @@
 .Lb libm
 .Sh SYNOPSIS
 .Fd #include <math.h>
-.Ft double 
+.Ft double
 .Fn copysign "double x" "double y"
-.Ft double 
+.Ft double
 .Fn drem "double x" "double y"
-.Ft int 
+.Ft int
 .Fn finite "double x"
-.Ft double 
+.Ft double
 .Fn logb "double x"
-.Ft double 
+.Ft double
 .Fn scalb "double x" "int n"
 .Sh DESCRIPTION
 These functions are required for, or recommended by the
@@ -167,11 +167,11 @@ and
 .Fn drem \\*(If y
 to be invalid operations that produce a \*(Na.
 On the
-.Tn VAX , 
+.Tn VAX ,
 .Fn drem x 0
 generates a reserved operand fault.  No \*(If
 exists on a
-.Tn VAX . 
+.Tn VAX .
 .Pp
 .Tn IEEE
 754 defines
@@ -182,17 +182,17 @@ exists on a
 = \-\*(If, and
 requires the latter to signal Division\-by\-Zero.
 But on a
-.Tn VAX , 
+.Tn VAX ,
 .Fn logb 0
 = 1.0 \- 2.0**31 = \-2,147,483,647.0.
 And if the correct value of
 .Fn scalb
 would overflow on a
-.Tn VAX , 
+.Tn VAX ,
 it generates a reserved operand fault and sets the global variable
 .Va errno
 to
-.Er ERANGE . 
+.Er ERANGE .
 .Sh SEE ALSO
 .Xr floor 3 ,
 .Xr infnan 3 ,
@@ -200,7 +200,7 @@ to
 .Sh HISTORY
 The
 .Nm ieee
-functions appeared in 
+functions appeared in
 .Bx 4.3 .
 .Sh BUGS
 Should
@@ -209,7 +209,7 @@ and
 .Fn logb 0
 on a
 .Tn VAX
-signal invalidity 
+signal invalidity
 by setting
 .Va errno No = Er EDOM ?
 Should
@@ -221,12 +221,12 @@ return  \-1.7e38?
 .Fn logb "denormalized no.\&"
 =
 .Fn logb "tiniest normalized no. > 0"
-but the consensus has changed to the specification in the new 
+but the consensus has changed to the specification in the new
 proposed
 .Tn IEEE
 standard p854, namely that
 .Fn logb x
-satisfy 
+satisfy
 .Bd -ragged -offset indent
 1 \(<=
 .Fn scalb \\*(Bax\\*(Ba \-logb(x)
@@ -237,7 +237,7 @@ for
 754
 .Ed
 .Pp
-for every x except 0, 
+for every x except 0,
 \*(If
 and \*(Na.
 Almost every program that assumes 754's specification will work
@@ -260,7 +260,7 @@ similar in spirit to the
 .Tn VAX Ns 's
 reserved operand, but very
 different in important details.  Since the sign bit of a
-reserved operand makes it look negative,  
+reserved operand makes it look negative,
 .Bd -ragged -offset indent
 .Fn copysign x "reserved operand"
 =
diff --git a/lib/libm/common_source/infnan.3 b/lib/libm/common_source/infnan.3
index e4ca774..d3361ac 100644
--- a/lib/libm/common_source/infnan.3
+++ b/lib/libm/common_source/infnan.3
@@ -44,7 +44,7 @@
 .Lb libm
 .Sh SYNOPSIS
 .Fd #include <math.h>
-.Ft double 
+.Ft double
 .Fn infnan "int iarg"
 .Sh DESCRIPTION
 At some time in the future, some of the useful properties of
@@ -67,7 +67,7 @@ in appropriate places in
 .Xr libm 3 .
 When
 better exception\-handling is implemented in
-.Tn UNIX , 
+.Tn UNIX ,
 only
 .Fn infnan
 among the codes in
@@ -115,7 +115,7 @@ when they
 invoke
 .Fn infnan iarg
 under analogous circumstances on a
-.Tn VAX . 
+.Tn VAX .
 Currently
 .Fn infnan
 stops computation under all those
@@ -126,7 +126,7 @@ and a value for a
 revised
 .Fn infnan
 to return.  And a C program to
-implement that suggestion follows. 
+implement that suggestion follows.
 .Bl -column "IEEE Signal" "IEEE Default" XXERANGE ERANGEXXorXXEDOM
 .It "IEEE Signal	IEEE Default	" Fa iarg Ta Va errno Ta Fn infnan
 .It "Invalid	\*(Na	" Er "EDOM	EDOM	0"
@@ -173,5 +173,5 @@ and
 .Sh HISTORY
 The
 .Fn infnan
-function appeared in 
+function appeared in
 .Bx 4.3 .
diff --git a/lib/libm/common_source/j0.3 b/lib/libm/common_source/j0.3
index 430619e..5bfb9a7 100644
--- a/lib/libm/common_source/j0.3
+++ b/lib/libm/common_source/j0.3
@@ -99,7 +99,7 @@ the function
 computes the
 .Em "Bessel function of the second kind for the integer order"
 .Fa n
-for the positive 
+for the positive
 .Em integer
 value
 .Fa x
diff --git a/lib/libm/common_source/lgamma.3 b/lib/libm/common_source/lgamma.3
index feb5a86..24f769e 100644
--- a/lib/libm/common_source/lgamma.3
+++ b/lib/libm/common_source/lgamma.3
@@ -113,7 +113,7 @@ will underflow.
 .Sh HISTORY
 The
 .Fn lgamma
-function appeared in 
+function appeared in
 .Bx 4.3 .
 The
 .Fn gamma
diff --git a/lib/libm/common_source/math.3 b/lib/libm/common_source/math.3
index 2e26575..4bc1ff3 100644
--- a/lib/libm/common_source/math.3
+++ b/lib/libm/common_source/math.3
@@ -379,7 +379,7 @@ correctly through multiplication and division, and
 .If (finite)/\(+- \0=\0\(+-0
 (nonzero)/0 =
 .If \(+- .
-But 
+But
 .if n \
 Infinity\-Infinity, Infinity\(**0 and Infinity/Infinity
 .if t \
diff --git a/lib/libm/common_source/sinh.3 b/lib/libm/common_source/sinh.3
index 3009473..a5cfbee 100644
--- a/lib/libm/common_source/sinh.3
+++ b/lib/libm/common_source/sinh.3
@@ -53,7 +53,7 @@ function computes the hyperbolic sine of
 The
 .Fn sinh
 function returns the hyperbolic sine value unless
-the  magnitude 
+the  magnitude
 of
 .Fa x
 is too large; in this event, the global variable