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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). allbox; lbx lb lb T{ casinh()casinhf()casinhl()
InterfaceAttributeValue
T}Thread safetyMT-Safe

Standards

C11, POSIX.1-2008.

History

glibc 2.1. C99, POSIX.1-2001.

See Also

  1. asinh(3),
  2. cabs(3),
  3. cimag(3),
  4. csinh(3),
  5. complex(7)