# NAME

cacos, cacosf, cacosl - complex arc cosine

# SYNOPSIS

#include <complex.h>

double complex cacos(double complex `z`);
float complex cacosf(float complex `z`);
long double complex cacosl(long double complex `z`);

Link with `-lm`.

# DESCRIPTION

These functions calculate the complex arc cosine of `z`. If `y = cacos(z)`, then `z = ccos(y)`. The real part of `y` is chosen in the interval [0,pi].

One has:

``    cacos(z) = -i * clog(z + i * csqrt(1 - z * z))``

# 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 cacos(), cacosf(), cacosl() 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 = cacos(z);

printf("cacos() = %6.3f %6.3f*i\n", creal(c), cimag(c));

f = -i * clog(z + i * csqrt(1 - z * z));

printf("formula = %6.3f %6.3f*i\n", creal(f), cimag(f));

exit(EXIT_SUCCESS);
}``````

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