catan, catanf, catanl — complex arc tangents
#include <complex.h>
double complex
catan( |
double complex z); |
float complex
catanf( |
float complex z); |
long double complex
catanl( |
long double complex z); |
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The catan() function
calculates the complex arc tangent of z. If y = catan(z), then z = ctan(y). The real part of y is
chosen in the interval [−pi/2,pi/2].
One has:
catan(z) = (clog(1 + i * z) − clog(1 − i * z)) / (2 * i)
/* Link with "−lm" */
#include <complex.h>
#include <stdlib.h>
#include <unistd.h>
#include <stdio.h>
int
main(int argc, char *argv[])
{
double complex z, c, f;
double complex i = I;
if (argc != 3) {
fprintf(stderr, "Usage: %s <real> <imag>\n", argv[0]);
exit(EXIT_FAILURE);
}
z = atof(argv[1]) + atof(argv[2]) * I;
c = catan(z);
printf("catan() = %6.3f %6.3f*i\n", creal(c), cimag(c));
f = (clog(1 + i * z) − clog(1 − i * z)) / (2 * i);
printf("formula = %6.3f %6.3f*i\n", creal(f2), cimag(f2));
exit(EXIT_SUCCESS);
}
This page is part of release 3.52 of the Linux man-pages project. A
description of the project, and information about reporting
bugs, can be found at
http://www.kernel.org/doc/man−pages/.
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Copyright 2002 Walter Harms (walter.harmsinformatik.uni-oldenburg.de) and Copyright (C) 2011 Michael Kerrisk <mtk.manpagesgamil.com> %%%LICENSE_START(GPL_NOVERSION_ONELINE) Distributed under GPL %%%LICENSE_END |