NAME
catanh, catanhf, catanhl - complex arc tangents hyperbolic
SYNOPSIS
#include <complex.h> double complex catanh(double complex z); float complex catanhf(float complex z); long double complex catanhl(long double complex z); Link with -lm.
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))
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 catanh(), catanhf(), catanhl() Thread safety MT-Safe
CONFORMING TO
C99, POSIX.1-2001, POSIX.1-2008.
EXAMPLE
/* 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;
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(f2), cimag(f2));
exit(EXIT_SUCCESS);
}
SEE ALSO
atanh(3), cabs(3), cimag(3), ctanh(3), complex(7)
COLOPHON
This page is part of release 4.09 of the Linux man-pages project. A
description of the project, information about reporting bugs, and the
latest version of this page, can be found at
https://www.kernel.org/doc/man-pages/.
2015-04-19 CATANH(3)
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