20 files changed, 64 insertions, 64 deletions

diff --git a/lib/msun/man/acos.3 b/lib/msun/man/acos.3
index 2776bbe5e4e4..582e1c08dd5d 100644
--- a/lib/msun/man/acos.3
+++ b/lib/msun/man/acos.3
@@ -56,7 +56,7 @@ 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
 and the
 .Fn acosf
diff --git a/lib/msun/man/acosh.3 b/lib/msun/man/acosh.3
index b7d9f7b047c3..0a4982ef6ed4 100644
--- a/lib/msun/man/acosh.3
+++ b/lib/msun/man/acosh.3
@@ -48,7 +48,7 @@
 .Sh DESCRIPTION
 The
 .Fn acosh
-and the 
+and the
 .Fn acoshf
 functions compute the inverse hyperbolic cosine
 of the real
@@ -59,7 +59,7 @@ For a discussion of error due to roundoff, see
 .Sh RETURN VALUES
 The
 .Fn acosh
-and the 
+and the
 .Fn acoshf
 functions
 return the inverse hyperbolic cosine of
@@ -84,5 +84,5 @@ causes a reserved operand fault.
 .Sh HISTORY
 The
 .Fn acosh
-function appeared in 
+function appeared in
 .Bx 4.3 .
diff --git a/lib/msun/man/asin.3 b/lib/msun/man/asin.3
index 8b26bd273f83..6515fbdfc47a 100644
--- a/lib/msun/man/asin.3
+++ b/lib/msun/man/asin.3
@@ -48,7 +48,7 @@
 .Sh DESCRIPTION
 The
 .Fn asin
-and the 
+and the
 .Fn asinf
 functions compute the principal value of the arc sine of
 .Fa x .
@@ -58,7 +58,7 @@ For a discussion of error due to roundoff, see
 .Sh RETURN VALUES
 The
 .Fn asin
-and the 
+and the
 .Fn asinf
 functions return the arc sine in the range
 .Bk -words
@@ -86,7 +86,7 @@ a reserved operand fault generated.
 .Xr atan2 3 ,
 .Xr cos 3 ,
 .Xr cosh 3 ,
-.Xr math 3 , 
+.Xr math 3 ,
 .Xr sin 3 ,
 .Xr sinh 3 ,
 .Xr tan 3 ,
diff --git a/lib/msun/man/asinh.3 b/lib/msun/man/asinh.3
index eb3f2f3616f4..73de4f71c5f9 100644
--- a/lib/msun/man/asinh.3
+++ b/lib/msun/man/asinh.3
@@ -48,7 +48,7 @@
 .Sh DESCRIPTION
 The
 .Fn asinh
-and the 
+and the
 .Fn asinhf
 functions compute the inverse hyperbolic sine
 of the real
@@ -59,7 +59,7 @@ For a discussion of error due to roundoff, see
 .Sh RETURN VALUES
 The
 .Fn asinh
-and the 
+and the
 .Fn asinhf
 functions
 return the inverse hyperbolic sine of
@@ -72,5 +72,5 @@ return the inverse hyperbolic sine of
 .Sh HISTORY
 The
 .Fn asinh
-function appeared in 
+function appeared in
 .Bx 4.3 .
diff --git a/lib/msun/man/atan.3 b/lib/msun/man/atan.3
index c5e360d0b2b8..4c6fd6446586 100644
--- a/lib/msun/man/atan.3
+++ b/lib/msun/man/atan.3
@@ -57,7 +57,7 @@ For a discussion of error due to roundoff, see
 .Sh RETURN VALUES
 The
 .Fn atan
-and the 
+and the
 .Fn atanf
 function returns the arc tangent in the range
 .Bk -words
diff --git a/lib/msun/man/atan2.3 b/lib/msun/man/atan2.3
index 457ab08d442e..0c124e75597a 100644
--- a/lib/msun/man/atan2.3
+++ b/lib/msun/man/atan2.3
@@ -60,7 +60,7 @@ The
 and the
 .Fn atan2f
 functions, if successful,
-return the arc tangent of 
+return the arc tangent of
 .Fa y/ Ns Ar x
 in the range
 .Bk -words
diff --git a/lib/msun/man/atanh.3 b/lib/msun/man/atanh.3
index 6e770b41944e..528b6b5ca929 100644
--- a/lib/msun/man/atanh.3
+++ b/lib/msun/man/atanh.3
@@ -48,7 +48,7 @@
 .Sh DESCRIPTION
 The
 .Fn  atanh
-and the 
+and the
 .Fn  atanhf
 functions compute the inverse hyperbolic tangent
 of the real
@@ -59,7 +59,7 @@ For a discussion of error due to roundoff, see
 .Sh RETURN VALUES
 The
 .Fn atanh
-and the 
+and the
 .Fn atanhf
 functions
 return the inverse hyperbolic tangent of
diff --git a/lib/msun/man/cos.3 b/lib/msun/man/cos.3
index 32a3762a15ed..bd1b31364467 100644
--- a/lib/msun/man/cos.3
+++ b/lib/msun/man/cos.3
@@ -53,14 +53,14 @@ and the
 functions compute 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 .
 .Sh RETURN VALUES
 The
 .Fn cos
-and the 
+and the
 .Fn cosf
 functions return the cosine value.
 .Sh SEE ALSO
diff --git a/lib/msun/man/cosh.3 b/lib/msun/man/cosh.3
index 4c9d9b393bc5..764677271198 100644
--- a/lib/msun/man/cosh.3
+++ b/lib/msun/man/cosh.3
@@ -48,7 +48,7 @@
 .Sh DESCRIPTION
 The
 .Fn cosh
-and the 
+and the
 .Fn coshf
 functions compute the hyperbolic cosine of
 .Fa x .
@@ -63,7 +63,7 @@ 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/msun/man/erf.3 b/lib/msun/man/erf.3
index 89c7cb4bda78..2046a6ddc5e6 100644
--- a/lib/msun/man/erf.3
+++ b/lib/msun/man/erf.3
@@ -57,20 +57,20 @@ These functions calculate the error function of
 .Pp
 The
 .Fn erf
-and the 
+and the
 .Fn erff
 functions calculate the error function of x; where
 .Bd -ragged -offset indent
 .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
 The
 .Fn erfc
-and the 
+and the
 .Fn erfcf
 functions calculate the complementary error function of
 .Fa x ;
diff --git a/lib/msun/man/exp.3 b/lib/msun/man/exp.3
index d453b10600a0..86d1fd81880e 100644
--- a/lib/msun/man/exp.3
+++ b/lib/msun/man/exp.3
@@ -89,7 +89,7 @@ functions compute the exponential value of the given argument
 .Pp
 The
 .Fn expm1
-and the 
+and the
 .Fn expm1f
 functions compute the value exp(x)\-1 accurately even for tiny argument
 .Fa x .
@@ -98,7 +98,7 @@ The
 .Fn log
 and the
 .Fn logf
-functions compute the value of the natural logarithm of argument 
+functions compute the value of the natural logarithm of argument
 .Fa x .
 .Pp
 The
@@ -131,12 +131,12 @@ to the exponent
 .Fn log x ,
 .Fn expm1 x
 and
-.Fn log1p x 
-are accurate to within 
+.Fn log1p x
+are accurate to within
 an
 .Em ulp ,
 and
-.Fn log10 x 
+.Fn log10 x
 to within about 2
 .Em ulps ;
 an
@@ -268,10 +268,10 @@ 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
@@ -289,7 +289,7 @@ 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/msun/man/floor.3 b/lib/msun/man/floor.3
index 29d2283b1ddb..39323833666d 100644
--- a/lib/msun/man/floor.3
+++ b/lib/msun/man/floor.3
@@ -50,7 +50,7 @@ The
 .Fn floor
 and the
 .Fn floorf
-function returns the largest integral value 
+function returns the largest integral value
 (represented as a double precision number)
 less than or equal to
 .Fa x .
diff --git a/lib/msun/man/ieee.3 b/lib/msun/man/ieee.3
index 2aed69fdb799..fb4001ca4364 100644
--- a/lib/msun/man/ieee.3
+++ b/lib/msun/man/ieee.3
@@ -51,19 +51,19 @@
 .Nd Functions for IEEE arithmetic
 .Sh SYNOPSIS
 .Fd #include <math.h>
-.Ft double 
+.Ft double
 .Fn copysign "double x" "double y"
-.Ft float 
+.Ft float
 .Fn copysignf "float x" "float y"
-.Ft int 
+.Ft int
 .Fn finite "double x"
-.Ft int 
+.Ft int
 .Fn finitef "float x"
 .Ft int
 .Fn ilogb "double x"
 .Ft int
 .Fn ilogbf "float x"
-.Ft double 
+.Ft double
 .Fn nextafter "double x" "double y"
 .Ft float
 .Fn nextafterf "float x" "float y"
@@ -71,12 +71,12 @@
 .Fn remainder "double x" "double y"
 .Ft float
 .Fn remainderf "float x" "float y"
-.Ft double 
+.Ft double
 .Fn scalbn "double x" "int n"
-.Ft float 
+.Ft float
 .Fn scalbnf "float x" "int n"
 .Sh DESCRIPTION
-These functions are required or recommended by 
+These functions are required or recommended by
 .St -ieee754 .
 .Pp
 .Fn copysign
@@ -109,18 +109,18 @@ return
 .Fa x Ns 's exponent
 .Fa n ,
 in integer format.
-.Fn ilogb \*(Pm\*(If 
-returns 
+.Fn ilogb \*(Pm\*(If
+returns
 .Dv INT_MAX
 and
 .Fn ilogb 0
-returns 
+returns
 .Dv INT_MIN .
 .Pp
-.Fn nextafter 
+.Fn nextafter
 and
 .Fn nextafterf
-return the next machine representable number from 
+return the next machine representable number from
 .Fa x
 in direction
 .Fa y .
@@ -176,7 +176,7 @@ computed by exponent manipulation.
 .Sh HISTORY
 The
 .Nm ieee
-functions appeared in 
+functions appeared in
 .Bx 4.3 .
 .Sh STANDARDS
 .St -ieee754
diff --git a/lib/msun/man/ieee_test.3 b/lib/msun/man/ieee_test.3
index 44578daebba9..be27dfc52972 100644
--- a/lib/msun/man/ieee_test.3
+++ b/lib/msun/man/ieee_test.3
@@ -45,20 +45,20 @@
 .Nd IEEE test functions
 .Sh SYNOPSIS
 .Fd #include <math.h>
-.Ft double 
+.Ft double
 .Fn logb "double x"
-.Ft float 
+.Ft float
 .Fn logbf "float x"
-.Ft double 
+.Ft double
 .Fn scalb "double x" "double n"
-.Ft float 
+.Ft float
 .Fn scalbf "float x" "float n"
 .Ft double
 .Fn significand "double x"
 .Ft float
 .Fn significandf "float x"
 .Sh DESCRIPTION
-These functions allow users to test conformance to 
+These functions allow users to test conformance to
 .St -ieee754 .
 Their use is not otherwise recommended.
 .Pp
@@ -81,22 +81,22 @@ return
 .Fa x Ns \(**(2** Ns Fa n )
 computed by exponent manipulation.
 .Pp
-.Fn significand x 
+.Fn significand x
 and
-.Fn significandf x 
+.Fn significandf x
 return
 .Fa sig ,
-where 
-.Fa x 
-:= 
+where
+.Fa x
+:=
 .Fa sig No \(** 2** Ns Fa n
-with 1 \(<= 
+with 1 \(<=
 .Fa sig
 < 2.
 .Fn significand x
 and
 .Fn significandf x
-are not defined when 
+are not defined when
 .Fa x
 is 0, \*(Pm\*(If, or \*(Na.
 .Sh SEE ALSO
diff --git a/lib/msun/man/j0.3 b/lib/msun/man/j0.3
index 2aa024749e13..8a21644e1b9b 100644
--- a/lib/msun/man/j0.3
+++ b/lib/msun/man/j0.3
@@ -125,7 +125,7 @@ compute the
 .Em Bessel function of the second kind for the integer
 .Em order
 .Fa n
-for the positive 
+for the positive
 .Em real
 value
 .Fa x .
diff --git a/lib/msun/man/lgamma.3 b/lib/msun/man/lgamma.3
index 980099945cb8..a34fe0fc4482 100644
--- a/lib/msun/man/lgamma.3
+++ b/lib/msun/man/lgamma.3
@@ -126,7 +126,7 @@ will underflow.
 .Sh HISTORY
 The
 .Fn lgamma
-function appeared in 
+function appeared in
 .Bx 4.3 .
 The
 .Fn gamma
diff --git a/lib/msun/man/math.3 b/lib/msun/man/math.3
index d0633e5868e2..73e8d7b6693c 100644
--- a/lib/msun/man/math.3
+++ b/lib/msun/man/math.3
@@ -54,7 +54,7 @@ Declarations for these functions may be obtained from the include file
 .SH "LIST OF FUNCTIONS"
 Each of the following double functions has a float counterpart with the
 name ending in f, as an example the float counterpart of double acos(double
-x) is float acosf(float x). 
+x) is float acosf(float x).
 .sp 2
 .nf
 .ta \w'copysign'u+2n +\w'infnan.3m'u+10n +\w'inverse trigonometric func'u
@@ -381,7 +381,7 @@ 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 \
@@ -450,7 +450,7 @@ listed below in declining order of probable importance.
 .ta \w'Invalid Operation'u+6n +\w'Gradual Underflow'u+2n
 Exception	Default Result
 .tc \(ru
-		
+
 .tc
 Invalid Operation	\*(nn, or FALSE
 .if n \{\
diff --git a/lib/msun/man/rint.3 b/lib/msun/man/rint.3
index c8e320d9d979..d4b7aeb3810e 100644
--- a/lib/msun/man/rint.3
+++ b/lib/msun/man/rint.3
@@ -50,7 +50,7 @@ The
 .Fn rint
 and the
 .Fn rintf
-functions return the integral value (represented as a double or float 
+functions return the integral value (represented as a double or float
 precision number) nearest to
 .Fa x
 according to the prevailing rounding mode.
diff --git a/lib/msun/man/sinh.3 b/lib/msun/man/sinh.3
index c7921c9a012c..78995a0dfb95 100644
--- a/lib/msun/man/sinh.3
+++ b/lib/msun/man/sinh.3
@@ -57,7 +57,7 @@ The
 and the
 .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
diff --git a/lib/msun/man/tanh.3 b/lib/msun/man/tanh.3
index 4659366392be..e17ed3887b79 100644
--- a/lib/msun/man/tanh.3
+++ b/lib/msun/man/tanh.3
@@ -57,7 +57,7 @@ For a discussion of error due to roundoff, see
 .Sh RETURN VALUES
 The
 .Fn tanh
-and the 
+and the
 .Fn tanhf
 functions return the hyperbolic tangent value.
 .Sh SEE ALSO