acos.3, acosh.3, asin.3, asinh.3, atan.3, atan2.3, atanh.3, cabs.3, cacos.3, cacosh.3, casin.3, casinh.3, catan.3, catanh.3, cbrt.3, cexp.3, cimag.3, conj.3, copysign.3, cos.3, cosh.3, cpow.3, creal.3, erf.3, erfc.3, exp.3, exp10.2, exp2.3, expm1.3, fma.3, fmod.3, frexp.3, hypot.3, ldexp.3, lgamma.3, log.3, log10.3, log1p.3, log2.3, modf.3, pow.3, pow10.3, remainder.3, significand.3, sin.3, sinh.3, sqrt.3, tan.3, tanh.3, tgamma.3: wfix: use consistent wording to describe functions

exp10.3, lgamma.3, modf.3, pow10.3, remainder.3, significand.3:dd
Where a page describes multiple math functions with float, double,
and long double variants, just describe them as "These functions"
rather than describing in terms of just the double variant.

Signed-off-by: Michael Kerrisk <mtk.manpages@gmail.com>

man3/acos.3

@@ -63,9 +63,7 @@ or
 .RE
 .ad b
 .SH DESCRIPTION
-The
+These functions calculate the arc cosine of
-.BR acos ()
-function calculates the arc cosine of
 .IR x ;
 that is
 the value whose cosine is

man3/acosh.3

@@ -75,9 +75,7 @@ or
 .RE
 .ad b
 .SH DESCRIPTION
-The
+These functions calculate the inverse hyperbolic cosine of
-.BR acosh ()
-function calculates the inverse hyperbolic cosine of
 .IR x ;
 that is the value whose hyperbolic cosine is
 .IR x .

man3/asin.3

@@ -65,9 +65,7 @@ or
 .RE
 .ad b
 .SH DESCRIPTION
-The
+These functions calculate the principal value of the arc sine of
-.BR asin ()
-function calculates the principal value of the arc sine of
 .IR x ;
 that is the value whose sine is
 .IR x .

man3/asinh.3

@@ -75,9 +75,7 @@ or
 .RE
 .ad b
 .SH DESCRIPTION
-The
+These functions calculate the inverse hyperbolic sine of
-.BR asinh ()
-function calculates the inverse hyperbolic sine of
 .IR x ;
 that is the value whose hyperbolic sine is
 .IR x .

man3/atan.3

@@ -65,9 +65,7 @@ or
 .RE
 .ad b
 .SH DESCRIPTION
-The
+These functions calculate the principal value of the arc tangent of
-.BR atan ()
-function calculates the principal value of the arc tangent of
 .IR x ;
 that is the value whose tangent is
 .IR x .

man3/atan2.3

@@ -63,9 +63,7 @@ or
 .RE
 .ad b
 .SH DESCRIPTION
-The
+These functions calculate the principal value of the arc tangent of
-.BR atan2 ()
-function calculates the principal value of the arc tangent of
 .IR y/x ,
 using the signs of the two arguments to determine
 the quadrant of the result.

man3/atanh.3

@@ -75,9 +75,7 @@ or
 .RE
 .ad b
 .SH DESCRIPTION
-The
+These functions calculate the inverse hyperbolic tangent of
-.BR atanh ()
-function calculates the inverse hyperbolic tangent of
 .IR x ;
 that is the value whose hyperbolic tangent is
 .IR x .

man3/cabs.3

@@ -18,9 +18,7 @@ cabs, cabsf, cabsl \- absolute value of a complex number
 .sp
 Link with \fI\-lm\fP.
 .SH DESCRIPTION
-The
+These functions return the absolute value of the complex number
-.BR cabs ()
-function returns the absolute value of the complex number
 .IR z .
 The result is a real number.
 .SH VERSIONS

man3/cacos.3

@@ -19,9 +19,7 @@ cacos, cacosf, cacosl \- complex arc cosine
 .sp
 Link with \fI\-lm\fP.
 .SH DESCRIPTION
-The
+These functions calculate the complex arc cosine of
-.BR cacos ()
-function calculates the complex arc cosine of
 .IR z .
 If \fIy\ =\ cacos(z)\fP, then \fIz\ =\ ccos(y)\fP.
 The real part of

man3/cacosh.3

@@ -19,9 +19,7 @@ cacosh, cacoshf, cacoshl \- complex arc hyperbolic cosine
 .sp
 Link with \fI\-lm\fP.
 .SH DESCRIPTION
-The
+These functions calculate the complex arc hyperbolic cosine of
-.BR cacosh ()
-function calculates the complex arc hyperbolic cosine of
 .IR z .
 If \fIy\ =\ cacosh(z)\fP, then \fIz\ =\ ccosh(y)\fP.
 The imaginary part of

man3/casin.3

@@ -18,9 +18,7 @@ casin, casinf, casinl \- complex arc sine
 .sp
 Link with \fI\-lm\fP.
 .SH DESCRIPTION
-The
+These functions calculate the complex arc sine of
-.BR casin ()
-function calculates the complex arc sine of
 .IR z .
 If \fIy\ =\ casin(z)\fP, then \fIz\ =\ csin(y)\fP.
 The real part of

man3/casinh.3

@@ -18,9 +18,7 @@ casinh, casinhf, casinhl \- complex arc sine hyperbolic
 .sp
 Link with \fI\-lm\fP.
 .SH DESCRIPTION
-The
+These functions calculate the complex arc hyperbolic sine of
-.BR casinh ()
-function calculates the complex arc hyperbolic sine of
 .IR z .
 If \fIy\ =\ casinh(z)\fP, then \fIz\ =\ csinh(y)\fP.
 The imaginary part of

man3/catan.3

@@ -19,9 +19,7 @@ catan, catanf, catanl \- complex arc tangents
 .sp
 Link with \fI\-lm\fP.
 .SH DESCRIPTION
-The
+These functions calculate the complex arc tangent of
-.BR catan ()
-function calculates the complex arc tangent of
 .IR z .
 If \fIy\ =\ catan(z)\fP, then \fIz\ =\ ctan(y)\fP.
 The real part of y is chosen in the interval [\-pi/2,pi/2].

man3/catanh.3

@@ -19,9 +19,7 @@ catanh, catanhf, catanhl \- complex arc tangents hyperbolic
 .sp
 Link with \fI\-lm\fP.
 .SH DESCRIPTION
-The
+These functions calculate the complex arc hyperbolic tangent of
-.BR catanh ()
-function calculates the complex arc hyperbolic tangent of
 .IR z .
 If \fIy\ =\ catanh(z)\fP, then \fIz\ =\ ctanh(y)\fP.
 The imaginary part of

man3/cbrt.3

@@ -70,9 +70,7 @@ or
 .RE
 .ad b
 .SH DESCRIPTION
-The
+These functions return the (real) cube root of
-.BR cbrt ()
-function returns the (real) cube root of
 .IR x .
 This function cannot fail; every representable real value has a
 representable real cube root.

man3/cexp.3

@@ -18,7 +18,7 @@ cexp, cexpf, cexpl \- complex exponential function
 .sp
 Link with \fI\-lm\fP.
 .SH DESCRIPTION
-The function calculates e (2.71828..., the base of natural logarithms)
+These functions calculate e (2.71828..., the base of natural logarithms)
 raised to the power of
 .IR z .
 .LP

man3/cimag.3

@@ -18,9 +18,7 @@ cimag, cimagf, cimagl \- get imaginary part of a complex number
 .sp
 Link with \fI\-lm\fP.
 .SH DESCRIPTION
-The
+These functions return the imaginary part of the complex number
-.BR cimag ()
-function returns the imaginary part of the complex number
 .IR z .
 .LP
 One has:

man3/conj.3

@@ -18,9 +18,7 @@ conj, conjf, conjl \- calculate the complex conjugate
 .sp
 Link with \fI\-lm\fP.
 .SH DESCRIPTION
-The
+These functions return the complex conjugate value of
-.BR conj ()
-function returns the complex conjugate value of
 .IR z .
 That is the value obtained by changing the sign of the imaginary part.
 .LP

man3/copysign.3

@@ -62,13 +62,7 @@ or
 .RE
 .ad b
 .SH DESCRIPTION
-The
+These functions return a value whose absolute value matches that of
-.BR copysign (),
-.BR copysignf (),
-and
-.BR copysignl ()
-functions return a value whose absolute value matches
-that of
 .IR x ,
 but whose sign bit matches that of
 .IR y .

man3/cos.3

@@ -64,9 +64,7 @@ or
 .RE
 .ad
 .SH DESCRIPTION
-The
+These functions return the cosine of
-.BR cos ()
-function returns the cosine of
 .IR x ,
 where
 .I x

man3/cosh.3

@@ -66,12 +66,9 @@ or
 .RE
 .ad
 .SH DESCRIPTION
-The
+These functions return the hyperbolic cosine of
-.BR cosh ()
-function returns the hyperbolic cosine of
 .IR x ,
-which
+which is defined mathematically as:
-is defined mathematically as:
 .nf
 
     cosh(x) = (exp(x) + exp(\-x)) / 2

man3/cpow.3

@@ -21,11 +21,11 @@ cpow, cpowf, cpowl \- complex power function
 Link with \fI\-lm\fP.
 .fi
 .SH DESCRIPTION
-The function calculates
+These functions calculate
 .I x
 raised to the power
-.IR z .
+.IR z
-(With a branch cut for
+(with a branch cut for
 .I x
 along the negative real axis.)
 .SH VERSIONS

man3/creal.3

@@ -18,9 +18,7 @@ creal, crealf, creall \- get real part of a complex number
 .sp
 Link with \fI\-lm\fP.
 .SH DESCRIPTION
-The
+These functions return the real part of the complex number
-.BR creal ()
-function returns the real part of the complex number
 .IR z .
 .LP
 One has:

man3/erf.3

@@ -72,12 +72,9 @@ or
 .RE
 .ad b
 .SH DESCRIPTION
-The
+These functions return the error function of
-.BR erf ()
-function returns the error function of
 .IR x ,
-defined
+defined as
-as
 .TP
     erf(x) = 2/sqrt(pi)* integral from 0 to x of exp(\-t*t) dt
 .SH RETURN VALUE

man3/erfc.3

@@ -63,9 +63,7 @@ or
 .RE
 .ad b
 .SH DESCRIPTION
-The
+These functions return the complementary error function of
-.BR erfc ()
-function returns the complementary error function of
 .IR x ,
 that is, 1.0 \- erf(x).
 .SH RETURN VALUE

man3/exp.3

@@ -66,9 +66,7 @@ or
 .RE
 .ad b
 .SH DESCRIPTION
-The
+These functions return the value of e (the base of natural
-.BR exp ()
-function returns the value of e (the base of natural
 logarithms) raised to the power of
 .IR x .
 .SH RETURN VALUE

man3/exp10.3

@@ -50,9 +50,7 @@ exp10, exp10f, exp10l \- base-10 exponential function
 .sp
 Link with \fI\-lm\fP.
 .SH DESCRIPTION
-The
+These functions return the value of 10
-.BR exp10 ()
-function returns the value of 10
 raised to the power of
 .IR x .
 .SH RETURN VALUE

man3/exp2.3

@@ -66,10 +66,7 @@ or
 .RE
 .ad b
 .SH DESCRIPTION
-The
+These functions return the value of 2 raised to the power of
-.BR exp2 ()
-function returns the value of 2
-raised to the power of
 .IR x .
 .SH RETURN VALUE
 On success, these functions return the base-2 exponential value of

man3/expm1.3

@@ -70,15 +70,13 @@ or
 .RE
 .ad b
 .SH DESCRIPTION
-.I expm1(x)
+These functions return a value equivalent to
-returns a value equivalent to
 .nf
 
     exp(x) \- 1
 
 .fi
-It is
+The result is computed in a way that is accurate even if the value of
-computed in a way that is accurate even if the value of
 .I x
 is near
 zero\(ema case where

man3/fma.3

@@ -43,9 +43,7 @@ or
 .RE
 .ad
 .SH DESCRIPTION
-The
+These functions compute
-.BR fma ()
-function computes
 .IR x " * " y " + " z .
 The result is rounded as one ternary operation according to the
 current rounding mode (see

man3/fmod.3

@@ -65,9 +65,7 @@ or
 .RE
 .ad
 .SH DESCRIPTION
-The
+These functions compute the floating-point remainder of dividing
-.BR fmod ()
-function computes the floating-point remainder of dividing
 .I x
 by
 .IR y .

man3/frexp.3

@@ -64,17 +64,13 @@ or
 .RE
 .ad
 .SH DESCRIPTION
-The
+These functions are used to split the number
-.BR frexp ()
-function is used to split the number
 .I x
 into a
 normalized fraction and an exponent which is stored in
 .IR exp .
 .SH RETURN VALUE
-The
+These functions return the normalized fraction.
-.BR frexp ()
-function returns the normalized fraction.
 If the argument
 .I x
 is not zero,

man3/hypot.3

@@ -72,9 +72,7 @@ or
 .RE
 .ad b
 .SH DESCRIPTION
-The
+These functions return
-.BR hypot ()
-function returns
 .RI sqrt( x * x + y * y ).
 This is the length of the hypotenuse of a right-angled triangle
 with sides of length

man3/ldexp.3

@@ -64,9 +64,7 @@ or
 .RE
 .ad
 .SH DESCRIPTION
-The
+These functions return the result of multiplying the floating-point number
-.BR ldexp ()
-function returns the result of multiplying the floating-point number
 .I x
 by 2 raised to the power
 .IR exp .

man3/lgamma.3

@@ -73,8 +73,11 @@ For the definition of the Gamma function, see
 .BR tgamma (3).
 .PP
 The
-.BR lgamma ()
+.BR lgamma (),
-function returns the natural logarithm of
+.BR lgammaf (),
+and
+.BR lgammal ()
+functions return the natural logarithm of
 the absolute value of the Gamma function.
 The sign of the Gamma function is returned in the
 external integer

man3/log.3

@@ -66,9 +66,7 @@ or
 .RE
 .ad
 .SH DESCRIPTION
-The
+These functions return the natural logarithm of
-.BR log ()
-function returns the natural logarithm of
 .IR x .
 .SH RETURN VALUE
 On success, these functions return the natural logarithm of

man3/log10.3

@@ -66,9 +66,7 @@ or
 .RE
 .ad
 .SH DESCRIPTION
-The
+These functions return the base 10 logarithm of
-.BR log10 ()
-function returns the base 10 logarithm of
 .IR x .
 .SH RETURN VALUE
 On success, these functions return the base 10 logarithm of

man3/log1p.3

@@ -69,14 +69,13 @@ or
 .RE
 .ad b
 .SH DESCRIPTION
-.I log1p(x)
+These functions return a value equivalent to
-returns a value equivalent to
 .nf
 
     log (1 + \fIx\fP)
 
 .fi
-It is computed in a way
+The result is computed in a way
 that is accurate even if the value of
 .I x
 is near zero.

man3/log2.3

@@ -66,9 +66,7 @@ or
 .RE
 .ad b
 .SH DESCRIPTION
-The
+These functions return the base 2 logarithm of
-.BR log2 ()
-function returns the base 2 logarithm of
 .IR x .
 .SH RETURN VALUE
 On success, these functions return the base 2 logarithm of

man3/modf.3

@@ -64,9 +64,7 @@ or
 .RE
 .ad
 .SH DESCRIPTION
-The
+These functions break the argument
-.BR modf ()
-function breaks the argument
 .I x
 into an integral
 part and a fractional part, each of which has the same sign as
@@ -74,9 +72,7 @@ part and a fractional part, each of which has the same sign as
 The integral part is stored in the location pointed to by
 .IR iptr .
 .SH RETURN VALUE
-The
+These functions return the fractional part of
-.BR modf ()
-function returns the fractional part of
 .IR x .
 
 If

man3/pow.3

@@ -65,9 +65,7 @@ or
 .RE
 .ad
 .SH DESCRIPTION
-The
+These functions return the value of
-.BR pow ()
-function returns the value of
 .I x
 raised to the
 power of

man3/pow10.3

@@ -39,10 +39,7 @@ pow10, pow10f, pow10l \- base-10 power functions
 .sp
 Link with \fI\-lm\fP.
 .SH DESCRIPTION
-The
+These functions return the value of 10 raised to the power
-.BR pow10 ()
-function returns the value of 10 raised to the
-power
 .IR x .
 .SH VERSIONS
 These functions first appeared in glibc in version 2.1.

man3/remainder.3

@@ -90,9 +90,8 @@ _SVID_SOURCE || _BSD_SOURCE
 .RE
 .ad b
 .SH DESCRIPTION
-The
+These
-.BR remainder ()
+functions compute the remainder of dividing
-function computes the remainder of dividing
 .I x
 by
 .IR y .

man3/significand.3

@@ -35,12 +35,10 @@ _SVID_SOURCE || _BSD_SOURCE
 .RE
 .ad b
 .SH DESCRIPTION
-The
+These functions return the mantissa of
-.BR significand ()
-function returns the mantissa of
 .I x
 scaled to the range [1,2).
-It is equivalent to
+They are equivalent to
 .sp
 .in +4n
 scalb(x, (double) \-ilogb(x))

man3/sin.3

@@ -65,9 +65,7 @@ or
 .RE
 .ad
 .SH DESCRIPTION
-The
+These functions return the sine of
-.BR sin ()
-function returns the sine of
 .IR x ,
 where
 .I x

man3/sinh.3

@@ -66,9 +66,7 @@ or
 .RE
 .ad
 .SH DESCRIPTION
-The
+These functions return the hyperbolic sine of
-.BR sinh ()
-function returns the hyperbolic sine of
 .IR x ,
 which
 is defined mathematically as:

man3/sqrt.3

@@ -64,9 +64,7 @@ or
 .RE
 .ad
 .SH DESCRIPTION
-The
+These functions return the nonnegative square root of
-.BR sqrt ()
-function returns the nonnegative square root of
 .IR x .
 .SH RETURN VALUE
 On success, these functions return the square root of

man3/tan.3

@@ -65,9 +65,7 @@ or
 .RE
 .ad
 .SH DESCRIPTION
-The
+These functions return the tangent of
-.BR tan ()
-function returns the tangent of
 .IR x ,
 where
 .I x

man3/tanh.3

@@ -65,9 +65,7 @@ or
 .RE
 .ad
 .SH DESCRIPTION
-The
+These functions return the hyperbolic tangent of
-.BR tanh ()
-function returns the hyperbolic tangent of
 .IR x ,
 which
 is defined mathematically as:

man3/tgamma.3

@@ -42,6 +42,9 @@ or
 .RE
 .ad
 .SH DESCRIPTION
+These functions calculate the Gamma function of
+.IR x .
+
 The Gamma function is defined by
 .sp
     Gamma(x) = integral from 0 to infinity of t^(x\-1) e^\-t dt