clog10.3m (2010 09)

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clog10(3M) clog10(3M)

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NAME

clog10(), clog10f(), clog10l(), clog10w(), clog10q() - complex base-10 logarithm functions

SYNOPSIS

#include <complex.h>

double complex clog10(double complex

z);

float complex clog10f(float complex

z);

long double complex clog10l(long double complex z);

extended complex clog10w(extended complex

z);

quad complex clog10q(quad complex z);

DESCRIPTION

clog10() returns the complex base-10 logarithm of z in the range of a strip mathematically unbounded

along the real axis and in the interval [-iPi/

log(10),+iPi/log(10)] along the imaginary axis. There is a

branch cut along the negative real axis.

clog10f() is a float complex version of clog10()

; it takes a float complex argument and

returns a

float complex result.

clog10l() is a long double complex version of clog10(); it takes a long double complex

argument and returns a long double complex result.

clog10w() is an extended complex version of clog10(); it takes an extended complex argu-

ment and returns an extended complex result.

clog10q() is equivalent to clog10l() on HP-UX systems.

USAGE

To use these functions, compile with the default

-Ae option. To use clog10w()

or clog10q(), com-

pile with the

-fpwidetypes option. Make sure your program includes <complex.h>. Link in the

math library by specifying -lm on the compiler or linker command line.

RETURN VALUE

clog10(conj(z)) = conj(clog10(z)).

clog10(-0+i0) returns -Inf+iPi/log(10) and raises the divide-by-zero ﬂoating-point exception.

clog10(+0+i0) returns -Inf+i0 and raises the divide-by-zero ﬂoating-point exception.

clog10(x+iInf) returns +Inf+iPi/(2log(10)), for ﬁnite x.

clog10(x+iNaN) returns NaN+iNaN and optionally raises the invalid ﬂoating-point exception, for

ﬁnite x .

clog10(-Inf+iy) returns +Inf+iPi/log(10), for ﬁnite positive-signed y.

clog10(+Inf+iy) returns +Inf+i0, for ﬁnite positive-signed y .

clog10(-Inf+iInf) returns +Inf+i3Pi/(4log(10)).

clog10(+Inf+iInf) returns +Inf+iPi/(4log(10)).

clog10(±Inf+iNaN) returns +Inf+iNaN.

clog10(NaN+iy) returns NaN+iNaN and optionally raises the invalid ﬂoating-point exception, for

ﬁnite y .

clog10(NaN+iInf) returns +Inf+iNaN.

clog10(NaN+iNaN) returns NaN+iNaN.

ERRORS

No errors are deﬁned.