NAME

       casinh, casinhf, casinhl - complex arc sine hyperbolic

LIBRARY

       Math library (libm, -lm)

SYNOPSIS

       #include <complex.h>

       double complex casinh(double complex z);
       float complex casinhf(float complex z);
       long double complex casinhl(long double complex z);

DESCRIPTION

       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))

ATTRIBUTES

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

       ┌───────────────────────────────────────────────────────────────┬───────────────┬─────────┐
       │Interface                                                      │ Attribute     │ Value   │
       ├───────────────────────────────────────────────────────────────┼───────────────┼─────────┤
       │casinh(), casinhf(), casinhl()                                 │ Thread safety │ MT-Safe │
       └───────────────────────────────────────────────────────────────┴───────────────┴─────────┘

STANDARDS

       C11, POSIX.1-2008.

HISTORY

       glibc 2.1.  C99, POSIX.1-2001.

SEE ALSO

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