mirror of https://github.com/mkerrisk/man-pages
acos.3, acosh.3, asin.3, asinh.3, atan.3, atanh.3, cbrt.3, ceil.3, copysign.3, cos.3, cosh.3, cproj.3, erf.3, exp.3, exp2.3, expm1.3, fabs.3, floor.3, fmod.3, frexp.3, isgreater.3, j0.3, lgamma.3, log.3, log10.3, log1p.3, log2.3, modf.3, nextafter.3, pow.3, rint.3, round.3, scalb.3, scalbln.3, sin.3, sinh.3, sqrt.3, tan.3, tanh.3, tgamma.3, trunc.3: Convert inline formatting (\fX...\fP) to dot-directive formatting
Signed-off-by: Michael Kerrisk <mtk.manpages@gmail.com>
This commit is contained in:
parent
c994238936
commit
022671eb41
|
@ -65,8 +65,11 @@ or
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.SH DESCRIPTION
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The
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.BR acos ()
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function calculates the arc cosine of \fIx\fP; that is
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the value whose cosine is \fIx\fP.
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function calculates the arc cosine of
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.IR x ;
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that is
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the value whose cosine is
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.IR x .
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.SH RETURN VALUE
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On success, these functions return the arc cosine of
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.IR x
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@ -78,7 +78,9 @@ or
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The
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.BR acosh ()
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function calculates the inverse hyperbolic cosine of
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\fIx\fP; that is the value whose hyperbolic cosine is \fIx\fP.
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.IR x ;
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that is the value whose hyperbolic cosine is
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.IR x .
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.SH RETURN VALUE
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On success, these functions return the inverse hyperbolic cosine of
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.IR x .
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@ -67,8 +67,10 @@ or
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.SH DESCRIPTION
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The
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.BR asin ()
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function calculates the principal value of the arc sine of \fIx\fP;
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that is the value whose sine is \fIx\fP.
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function calculates the principal value of the arc sine of
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.IR x ;
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that is the value whose sine is
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.IR x .
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.SH RETURN VALUE
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On success, these functions return the principal value of the arc sine of
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.IR x
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@ -78,7 +78,9 @@ or
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The
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.BR asinh ()
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function calculates the inverse hyperbolic sine of
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\fIx\fP; that is the value whose hyperbolic sine is \fIx\fP.
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.IR x ;
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that is the value whose hyperbolic sine is
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.IR x .
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.SH RETURN VALUE
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On success, these functions return the inverse hyperbolic sine of
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.IR x .
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@ -67,8 +67,10 @@ or
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.SH DESCRIPTION
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The
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.BR atan ()
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function calculates the principal value of the arc tangent of \fIx\fP;
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that is the value whose tangent is \fIx\fP.
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function calculates the principal value of the arc tangent of
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.IR x ;
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that is the value whose tangent is
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.IR x .
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.SH RETURN VALUE
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On success, these functions return the principal value of the arc tangent of
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.IR x
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@ -78,7 +78,9 @@ or
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The
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.BR atanh ()
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function calculates the inverse hyperbolic tangent of
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\fIx\fP; that is the value whose hyperbolic tangent is \fIx\fP.
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.IR x ;
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that is the value whose hyperbolic tangent is
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.IR x .
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.SH RETURN VALUE
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On success, these functions return the inverse hyperbolic tangent of
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.IR x .
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@ -72,7 +72,8 @@ or
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.SH DESCRIPTION
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The
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.BR cbrt ()
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function returns the (real) cube root of \fIx\fP.
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function returns the (real) cube root of
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.IR x .
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This function cannot fail; every representable real value has a
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representable real cube root.
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.SH RETURN VALUE
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@ -70,8 +70,11 @@ is 0.0.
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These functions return the ceiling of
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.IR x .
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If \fIx\fP is integral, +0, \-0, NaN, or infinite,
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\fIx\fP itself is returned.
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If
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.I x
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is integral, +0, \-0, NaN, or infinite,
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.I x
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itself is returned.
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.SH ERRORS
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No errors occur.
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POSIX.1-2001 documents a range error for overflows, but see NOTES.
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The
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.BR copysign ()
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functions return a value whose absolute value matches
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that of \fIx\fP, but whose sign bit matches that of \fIy\fP.
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that of
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.IR x ,
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but whose sign bit matches that of
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.IR y .
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For example,
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.I "copysign(42.0,\ \-1.0)"
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and whose sign is taken from
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.IR y .
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If \fIx\fP is a NaN,
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a NaN with the sign bit of \fIy\fP is returned.
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If
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.I x
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is a NaN,
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a NaN with the sign bit of
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.I y
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is returned.
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.SH ERRORS
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No errors occur.
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.SH CONFORMING TO
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.SH DESCRIPTION
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The
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.BR cos ()
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function returns the cosine of \fIx\fP, where \fIx\fP is
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function returns the cosine of
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.IR x ,
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where
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.I x
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is
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given in radians.
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.SH RETURN VALUE
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On success, these functions return the cosine of
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.SH DESCRIPTION
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The
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.BR cosh ()
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function returns the hyperbolic cosine of \fIx\fP, which
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function returns the hyperbolic cosine of
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.IR x ,
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which
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is defined mathematically as:
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.nf
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C99.
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.SH NOTES
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In glibc 2.11 and earlier, the implementation does something different
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(a \fIstereographic\fP projection onto a Riemann Sphere).
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(a
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.I stereographic
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projection onto a Riemann Sphere).
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.\" http://sources.redhat.com/bugzilla/show_bug.cgi?id=10401
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.SH SEE ALSO
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.BR cabs (3),
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.SH DESCRIPTION
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The
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.BR erf ()
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function returns the error function of \fIx\fP, defined
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function returns the error function of
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.IR x ,
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defined
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as
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.TP
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erf(x) = 2/sqrt(pi)* integral from 0 to x of exp(\-t*t) dt
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The
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.BR exp ()
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function returns the value of e (the base of natural
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logarithms) raised to the power of \fIx\fP.
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logarithms) raised to the power of
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.IR x .
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.SH RETURN VALUE
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On success, these functions return the exponential value of
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.IR x .
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The
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.BR exp2 ()
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function returns the value of 2
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raised to the power of \fIx\fP.
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raised to the power of
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.IR x .
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.SH RETURN VALUE
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On success, these functions return the base-2 exponential value of
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.IR x .
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.fi
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It is
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computed in a way that is accurate even if the value of \fIx\fP is near
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computed in a way that is accurate even if the value of
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.I x
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is near
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zero\(ema case where
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.I "exp(x) \- 1"
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would be inaccurate due to
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The
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.BR fabs ()
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functions return the absolute value of the floating-point
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number \fIx\fP.
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number
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.IR x .
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.SH RETURN VALUE
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These functions return the absolute value of
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.IR x .
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|
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These functions return the floor of
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.IR x .
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If \fIx\fP is integral, +0, \-0, NaN, or an infinity,
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\fIx\fP itself is returned.
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If
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.I x
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is integral, +0, \-0, NaN, or an infinity,
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.I x
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itself is returned.
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.SH ERRORS
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No errors occur.
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POSIX.1-2001 documents a range error for overflows, but see NOTES.
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24
man3/fmod.3
24
man3/fmod.3
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.SH DESCRIPTION
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The
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.BR fmod ()
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function computes the floating-point remainder of dividing \fIx\fP by
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\fIy\fP.
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The return value is \fIx\fP \- \fIn\fP * \fIy\fP, where \fIn\fP
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is the quotient of \fIx\fP / \fIy\fP, rounded toward zero to an integer.
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function computes the floating-point remainder of dividing
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.I x
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by
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.IR y .
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The return value is
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.IR x
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\-
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.I n
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*
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.IR y ,
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where
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.I n
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is the quotient of
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.I x
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/
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.IR y ,
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rounded toward zero to an integer.
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.SH RETURN VALUE
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On success, these
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functions return the value \fIx\fP\ \-\ \fIn\fP*\fIy\fP,
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for some integer \fIn\fP,
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for some integer
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.IR n ,
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such that the returned value has the same sign as
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.I x
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and a magnitude less than the magnitude of
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22
man3/frexp.3
22
man3/frexp.3
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.SH DESCRIPTION
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The
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.BR frexp ()
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function is used to split the number \fIx\fP into a
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normalized fraction and an exponent which is stored in \fIexp\fP.
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function is used to split the number
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.I x
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into a
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normalized fraction and an exponent which is stored in
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.IR exp .
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.SH RETURN VALUE
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The
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.BR frexp ()
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function returns the normalized fraction.
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If the argument \fIx\fP is not zero,
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the normalized fraction is \fIx\fP times a power of two,
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If the argument
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.I x
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is not zero,
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the normalized fraction is
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.I x
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times a power of two,
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and its absolute value is always in the range 1/2 (inclusive) to
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1 (exclusive), that is, [0.5,1).
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If \fIx\fP is zero, then the normalized fraction is
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zero and zero is stored in \fIexp\fP.
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If
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.I x
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is zero, then the normalized fraction is
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zero and zero is stored in
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.IR exp .
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If
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.I x
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|
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@ -46,7 +46,9 @@ or
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.RE
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.ad b
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.SH DESCRIPTION
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The normal relation operations (like \fB<\fP, "less than")
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The normal relation operations (like
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.BR < ,
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"less than")
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will fail if one of the operands is NaN.
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This will cause an exception.
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To avoid this, C99 defines the macros listed below.
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.TP
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.BR isgreater ()
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determines \fI(x)\ >\ (y)\fP without an exception
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if \fIx\fP or \fIy\fP is NaN.
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if
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.IR x
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or
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.I y
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is NaN.
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.TP
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.BR isgreaterequal ()
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determines \fI(x)\ >=\ (y)\fP without an exception
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if \fIx\fP or \fIy\fP is NaN.
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if
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.IR x
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or
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.I y
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is NaN.
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.TP
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.BR isless ()
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determines \fI(x)\ <\ (y)\fP without an exception
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if \fIx\fP or \fIy\fP is NaN.
|
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if
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.IR x
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or
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.I y
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is NaN.
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.TP
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.BR islessequal ()
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determines \fI(x)\ <=\ (y)\fP without an exception
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if \fIx\fP or \fIy\fP is NaN.
|
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if
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.IR x
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or
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.I y
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is NaN.
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.TP
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.BR islessgreater ()
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determines \fI(x)\ < (y) || (x) >\ (y)\fP
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without an exception if \fIx\fP or \fIy\fP is NaN.
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without an exception if
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.IR x
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or
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.I y
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is NaN.
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This macro is not equivalent to \fIx\ !=\ y\fP because that expression is
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true if \fIx\fP or \fIy\fP is NaN.
|
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true if
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.IR x
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or
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.I y
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is NaN.
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.TP
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.BR isunordered ()
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determines whether its arguments are unordered, that is, whether
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|
@ -89,7 +115,11 @@ return the result of the relational comparison;
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these macros return 0 if either argument is a NaN.
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.BR isunordered ()
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returns 1 if \fIx\fP or \fIy\fP is NaN and 0 otherwise.
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returns 1 if
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.IR x
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or
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.I y
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is NaN and 0 otherwise.
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.SH ERRORS
|
||||
No errors occur.
|
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.SH CONFORMING TO
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|
|
12
man3/j0.3
12
man3/j0.3
|
@ -91,12 +91,16 @@ The
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.BR j0 ()
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and
|
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.BR j1 ()
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functions return Bessel functions of \fIx\fP
|
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functions return Bessel functions of
|
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.I x
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of the first kind of orders 0 and 1, respectively.
|
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The
|
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.BR jn ()
|
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function
|
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returns the Bessel function of \fIx\fP of the first kind of order \fIn\fP.
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returns the Bessel function of
|
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.I x
|
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of the first kind of order
|
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.IR n .
|
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.PP
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The
|
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.BR j0f ()
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|
@ -155,6 +159,8 @@ There are errors of up to 2e\-16 in the values returned by
|
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.BR j1 ()
|
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and
|
||||
.BR jn ()
|
||||
for values of \fIx\fP between \-8 and 8.
|
||||
for values of
|
||||
.I x
|
||||
between \-8 and 8.
|
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.SH SEE ALSO
|
||||
.BR y0 (3)
|
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|
|
|
@ -77,7 +77,9 @@ The
|
|||
function returns the natural logarithm of
|
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the absolute value of the Gamma function.
|
||||
The sign of the Gamma function is returned in the
|
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external integer \fIsigngam\fP declared in
|
||||
external integer
|
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.I signgam
|
||||
declared in
|
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.IR <math.h> .
|
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It is 1 when the Gamma function is positive or zero, \-1
|
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when it is negative.
|
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|
|
|
@ -68,7 +68,8 @@ or
|
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.SH DESCRIPTION
|
||||
The
|
||||
.BR log ()
|
||||
function returns the natural logarithm of \fIx\fP.
|
||||
function returns the natural logarithm of
|
||||
.IR x .
|
||||
.SH RETURN VALUE
|
||||
On success, these functions return the natural logarithm of
|
||||
.IR x .
|
||||
|
|
|
@ -68,7 +68,8 @@ or
|
|||
.SH DESCRIPTION
|
||||
The
|
||||
.BR log10 ()
|
||||
function returns the base 10 logarithm of \fIx\fP.
|
||||
function returns the base 10 logarithm of
|
||||
.IR x .
|
||||
.SH RETURN VALUE
|
||||
On success, these functions return the base 10 logarithm of
|
||||
.IR x .
|
||||
|
|
|
@ -77,7 +77,9 @@ returns a value equivalent to
|
|||
|
||||
.fi
|
||||
It is computed in a way
|
||||
that is accurate even if the value of \fIx\fP is near zero.
|
||||
that is accurate even if the value of
|
||||
.I x
|
||||
is near zero.
|
||||
.SH RETURN VALUE
|
||||
On success, these functions return the natural logarithm of
|
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.IR "(1\ +\ x)" .
|
||||
|
|
|
@ -68,7 +68,8 @@ or
|
|||
.SH DESCRIPTION
|
||||
The
|
||||
.BR log2 ()
|
||||
function returns the base 2 logarithm of \fIx\fP.
|
||||
function returns the base 2 logarithm of
|
||||
.IR x .
|
||||
.SH RETURN VALUE
|
||||
On success, these functions return the base 2 logarithm of
|
||||
.IR x .
|
||||
|
|
13
man3/modf.3
13
man3/modf.3
|
@ -66,13 +66,18 @@ or
|
|||
.SH DESCRIPTION
|
||||
The
|
||||
.BR modf ()
|
||||
function breaks the argument \fIx\fP into an integral
|
||||
part and a fractional part, each of which has the same sign as \fIx\fP.
|
||||
The integral part is stored in the location pointed to by \fIiptr\fP.
|
||||
function breaks the argument
|
||||
.I x
|
||||
into an integral
|
||||
part and a fractional part, each of which has the same sign as
|
||||
.IR x .
|
||||
The integral part is stored in the location pointed to by
|
||||
.IR iptr .
|
||||
.SH RETURN VALUE
|
||||
The
|
||||
.BR modf ()
|
||||
function returns the fractional part of \fIx\fP.
|
||||
function returns the fractional part of
|
||||
.IR x .
|
||||
|
||||
If
|
||||
.I x
|
||||
|
|
|
@ -81,7 +81,12 @@ is less than
|
|||
these functions will return the largest representable number less than
|
||||
.IR x .
|
||||
|
||||
If \fIx\fP equals \fIy\fP, the functions return \fIy\fP.
|
||||
If
|
||||
.I x
|
||||
equals
|
||||
.IR y ,
|
||||
the functions return
|
||||
.IR y .
|
||||
|
||||
The
|
||||
.BR nexttoward ()
|
||||
|
|
|
@ -67,8 +67,11 @@ or
|
|||
.SH DESCRIPTION
|
||||
The
|
||||
.BR pow ()
|
||||
function returns the value of \fIx\fP raised to the
|
||||
power of \fIy\fP.
|
||||
function returns the value of
|
||||
.I x
|
||||
raised to the
|
||||
power of
|
||||
.IR y .
|
||||
.SH RETURN VALUE
|
||||
On success, these functions return the value of
|
||||
.I x
|
||||
|
|
|
@ -105,8 +105,11 @@ when the result differs in value from the argument.
|
|||
.SH RETURN VALUE
|
||||
These functions return the rounded integer value.
|
||||
|
||||
If \fIx\fP is integral, +0, \-0, NaN, or infinite,
|
||||
\fIx\fP itself is returned.
|
||||
If
|
||||
.I x
|
||||
is integral, +0, \-0, NaN, or infinite,
|
||||
.I x
|
||||
itself is returned.
|
||||
.SH ERRORS
|
||||
No errors occur.
|
||||
POSIX.1-2001 documents a range error for overflows, but see NOTES.
|
||||
|
|
11
man3/round.3
11
man3/round.3
|
@ -58,7 +58,9 @@ or
|
|||
.RE
|
||||
.ad
|
||||
.SH DESCRIPTION
|
||||
These functions round \fIx\fP to the nearest integer, but
|
||||
These functions round
|
||||
.I x
|
||||
to the nearest integer, but
|
||||
round halfway cases away from zero (regardless of the current rounding
|
||||
direction, see
|
||||
.BR fenv (3)),
|
||||
|
@ -73,8 +75,11 @@ is \-1.0.
|
|||
.SH RETURN VALUE
|
||||
These functions return the rounded integer value.
|
||||
|
||||
If \fIx\fP is integral, +0, \-0, NaN, or infinite,
|
||||
\fIx\fP itself is returned.
|
||||
If
|
||||
.I x
|
||||
is integral, +0, \-0, NaN, or infinite,
|
||||
.I x
|
||||
itself is returned.
|
||||
.SH ERRORS
|
||||
No errors occur.
|
||||
POSIX.1-2001 documents a range error for overflows, but see NOTES.
|
||||
|
|
|
@ -77,7 +77,12 @@ can be obtained by including
|
|||
.IR <float.h> .
|
||||
.\" not in /usr/include but in a gcc lib
|
||||
.SH RETURN VALUE
|
||||
On success, these functions return \fIx\fP * \fBFLT_RADIX\fP ** \fIexp\fP.
|
||||
On success, these functions return
|
||||
.IR x
|
||||
*
|
||||
.B FLT_RADIX
|
||||
**
|
||||
.IR exp .
|
||||
|
||||
If
|
||||
.I x
|
||||
|
|
|
@ -93,7 +93,12 @@ can be obtained by including
|
|||
.IR <float.h> .
|
||||
.\" not in /usr/include but in a gcc lib
|
||||
.SH RETURN VALUE
|
||||
On success, these functions return \fIx\fP * \fBFLT_RADIX\fP ** \fIexp\fP.
|
||||
On success, these functions return
|
||||
.IR x
|
||||
*
|
||||
.B FLT_RADIX
|
||||
**
|
||||
.IR exp .
|
||||
|
||||
If
|
||||
.I x
|
||||
|
|
|
@ -67,7 +67,11 @@ or
|
|||
.SH DESCRIPTION
|
||||
The
|
||||
.BR sin ()
|
||||
function returns the sine of \fIx\fP, where \fIx\fP is
|
||||
function returns the sine of
|
||||
.IR x ,
|
||||
where
|
||||
.I x
|
||||
is
|
||||
given in radians.
|
||||
.SH RETURN VALUE
|
||||
On success, these functions return the sine of
|
||||
|
|
|
@ -68,7 +68,9 @@ or
|
|||
.SH DESCRIPTION
|
||||
The
|
||||
.BR sinh ()
|
||||
function returns the hyperbolic sine of \fIx\fP, which
|
||||
function returns the hyperbolic sine of
|
||||
.IR x ,
|
||||
which
|
||||
is defined mathematically as:
|
||||
.nf
|
||||
|
||||
|
|
|
@ -66,7 +66,8 @@ or
|
|||
.SH DESCRIPTION
|
||||
The
|
||||
.BR sqrt ()
|
||||
function returns the nonnegative square root of \fIx\fP.
|
||||
function returns the nonnegative square root of
|
||||
.IR x .
|
||||
.SH RETURN VALUE
|
||||
On success, these functions return the square root of
|
||||
.IR x .
|
||||
|
|
|
@ -67,7 +67,11 @@ or
|
|||
.SH DESCRIPTION
|
||||
The
|
||||
.BR tan ()
|
||||
function returns the tangent of \fIx\fP, where \fIx\fP is
|
||||
function returns the tangent of
|
||||
.IR x ,
|
||||
where
|
||||
.I x
|
||||
is
|
||||
given in radians.
|
||||
.SH RETURN VALUE
|
||||
On success, these functions return the tangent of
|
||||
|
|
|
@ -67,7 +67,9 @@ or
|
|||
.SH DESCRIPTION
|
||||
The
|
||||
.BR tanh ()
|
||||
function returns the hyperbolic tangent of \fIx\fP, which
|
||||
function returns the hyperbolic tangent of
|
||||
.IR x ,
|
||||
which
|
||||
is defined mathematically as:
|
||||
.nf
|
||||
|
||||
|
|
|
@ -47,15 +47,19 @@ The Gamma function is defined by
|
|||
Gamma(x) = integral from 0 to infinity of t^(x\-1) e^\-t dt
|
||||
.sp
|
||||
It is defined for every real number except for nonpositive integers.
|
||||
For nonnegative integral \fIm\fP one has
|
||||
For nonnegative integral
|
||||
.I m
|
||||
one has
|
||||
.sp
|
||||
Gamma(m+1) = m!
|
||||
.sp
|
||||
and, more generally, for all \fIx\fP:
|
||||
and, more generally, for all
|
||||
.IR x :
|
||||
.sp
|
||||
Gamma(x+1) = x * Gamma(x)
|
||||
.sp
|
||||
Furthermore, the following is valid for all values of \fIx\fP
|
||||
Furthermore, the following is valid for all values of
|
||||
.I x
|
||||
outside the poles:
|
||||
.sp
|
||||
Gamma(x) * Gamma(1 \- x) = PI / sin(PI * x)
|
||||
|
|
10
man3/trunc.3
10
man3/trunc.3
|
@ -56,12 +56,18 @@ or
|
|||
.RE
|
||||
.ad
|
||||
.SH DESCRIPTION
|
||||
These functions round \fIx\fP to the nearest integer
|
||||
These functions round
|
||||
.I x
|
||||
to the nearest integer
|
||||
not larger in absolute value.
|
||||
.SH RETURN VALUE
|
||||
These functions return the rounded integer value.
|
||||
|
||||
If \fIx\fP is integral, infinite, or NaN, \fIx\fP itself is returned.
|
||||
If
|
||||
.IR x
|
||||
is integral, infinite, or NaN,
|
||||
.I x
|
||||
itself is returned.
|
||||
.SH ERRORS
|
||||
No errors occur.
|
||||
.SH VERSIONS
|
||||
|
|
Loading…
Reference in New Issue