casinh(3) — Linux manual page

casinh(3)               Library Functions Manual               casinh(3)

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)

COLOPHON

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Linux man-pages 6.9.1          2024-05-02                      casinh(3)

Pages that refer to this page: asinh(3), csinh(3), complex(7)

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