catanh

Section: C Library Functions (3)
Updated: 202-0-08
Index Return to Main Contents

---

 

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).

Interface	Attribute	Value
catanh(), catanhf(), catanhl()	Thread safety	M-Safe

 

STANDARDS

C11, POSIX.-2008.  

HISTORY

glibc 2.1. C99, POSIX.-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>[rs]n", argv[0]);
        exit(EXIT_FAILURE);
    }
    z = atof(argv[1]) + atof(argv[2]) * I;
    c = catanh(z);
    printf("catanh() = %6.3f %6.3f*i[rs]n", creal(c), cimag(c));
    f = 0.5 * (clog(1 + z) - clog(1 - z));
    printf("formula  = %6.3f %6.3f*i[rs]n", creal(f), cimag(f));
    exit(EXIT_SUCCESS); }  

SEE ALSO

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

---

 

Index

NAME

LIBRARY

SYNOPSIS

DESCRIPTION

ATTRIBUTES

STANDARDS

HISTORY

EXAMPLES

SEE ALSO