# NAME

catan, catanf, catanl - complex arc tangents

# SYNOPSIS

#include <complex.h>

double complex catan(double complex `z`);
float complex catanf(float complex `z`);
long double complex catanl(long double complex `z`);

Link with `-lm`.

# DESCRIPTION

These functions calculate 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)``

# VERSIONS

These functions first appeared in glibc in version 2.1.

# ATTRIBUTES

For an explanation of the terms used in this section, see attributes(7).

 Interface Attribute Value catan(), catanf(), catanl() Thread safety MT-Safe

# CONFORMING TO

C99, POSIX.1-2001, POSIX.1-2008.

# EXAMPLES

``````/* 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);
exit(EXIT_FAILURE);
}

z = atof(argv) + atof(argv) * 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);
}``````

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