man-pages/man3/carg.3

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.\" Copyright 2002 Walter Harms (walter.harms@informatik.uni-oldenburg.de)
.\" Distributed under GPL
.\"
.TH CARG 3 2008-08-11 "" "Linux Programmer's Manual"
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.SH NAME
carg, cargf, cargl \- calculate the complex argument
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.SH SYNOPSIS
.B #include <complex.h>
.sp
.BI "double carg(double complex " z ");"
.br
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.BI "float cargf(float complex " z ");"
.br
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.BI "long double cargl(long double complex " z ");"
.sp
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Link with \fI\-lm\fP.
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.SH DESCRIPTION
A complex number can be described by two real coordinates.
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One may use rectangular coordinates and gets
.nf
z = x + I * y
.fi
where \fIx\ =\ creal(z)\fP and \fIy\ =\ cimag(z)\fP.
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.LP
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Or one may use polar coordinates and gets
.nf
z = r * cexp(I * a)
.fi
where \fIr\ =\ cabs(z)\fP
is the "radius", the "modulus", the absolute value of \fIz\fP, and
\fIa\ =\ carg(z)\fP
is the "phase angle", the argument of \fIz\fP.
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.LP
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One has:
.nf
tan(carg(z)) = cimag(z) / creal(z)
.fi
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.SH "RETURN VALUE"
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The return value is the range of [\-pi,pi].
.SH VERSIONS
These functions first appeared in glibc in version 2.1.
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.SH "CONFORMING TO"
C99.
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.SH "SEE ALSO"
.BR cabs (3),
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.BR complex (7)