casinh(3) Library Functions Manual casinh(3)

casinh, casinhf, casinhl - complex arc sine hyperbolic

Math library (libm, -lm)

#include <complex.h>
double complex casinh(double complex z);
float complex casinhf(float complex z);
long double complex casinhl(long double complex z);

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

One has:

casinh(z) = clog(z + csqrt(z * z + 1))

These functions were added in glibc 2.1.

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

Interface Attribute Value
casinh (), casinhf (), casinhl () Thread safety MT-Safe

C99, POSIX.1-2001, POSIX.1-2008.

asinh(3), cabs(3), cimag(3), csinh(3), complex(7)

2022-12-15 Linux man-pages 6.02