Man page - catanhf(3)

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Manual

catanh

NAME
LIBRARY
SYNOPSIS
DESCRIPTION
ATTRIBUTES
STANDARDS
HISTORY
EXAMPLES
SEE ALSO

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).

Image grohtml-327172-1.png

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);
}