NAME¶

catanh, catanhf, catanhl - complex arc tangents hyperbolic

LIBRARY¶

Math library (libm, -lm)

SYNOPSIS¶

#include <complex.h>

double complex catanh(double complex z);
float complex catanhf(float complex z);
long double complex catanhl(long double complex z);

DESCRIPTION¶

These functions calculate the complex arc hyperbolic tangent of z. If y = catanh(z), then z = ctanh(y). The imaginary part of y is chosen in the interval [-pi/2,pi/2].

One has:

catanh(z) = 0.5 * (clog(1 + z) - clog(1 - z))

ATTRIBUTES¶

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

STANDARDS¶

C11, POSIX.1-2008.

HISTORY¶

glibc 2.1. C99, POSIX.1-2001.

EXAMPLES¶

/* Link with "-lm" */
#include <complex.h>
#include <stdio.h>
#include <stdlib.h>
#include <unistd.h>
int
main(int argc, char *argv[])
{


    double complex z, c, f;


    if (argc != 3) {


        fprintf(stderr, "Usage: %s <real> <imag>\n", argv[0]);


        exit(EXIT_FAILURE);


    }


    z = atof(argv[1]) + atof(argv[2]) * I;


    c = catanh(z);


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


    f = 0.5 * (clog(1 + z) - clog(1 - z));


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


    exit(EXIT_SUCCESS);
}

SEE ALSO¶

atanh(3), cabs(3), cimag(3), ctanh(3), complex(7)