catanh - Online Linux Manual Page

Section : 3
Updated : 2022-12-15
Source : Linux man-pages 6.03

NAMEcatanh, catanhf, catanhl − complex arc tangents hyperbolic

LIBRARYMath 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);

DESCRIPTIONThese 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))

VERSIONSThese functions were added in glibc 2.1.

ATTRIBUTESFor an explanation of the terms used in this section, see attributes(7).
InterfaceAttributeValue
catanh(), catanhf(), catanhl() Thread safetyMT-Safe

STANDARDSC99, POSIX.1-2001, POSIX.1-2008.

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