6.2.21 casinh Function

Calculates the complex arc hyperbolic sine function of a double precision complex value.

Include

<complex.h>

Prototype

double complex casinh(double complex z);

Argument

z

value for which to return the complex arc hyperbolic sine

Return Value

Returns the complex arc hyperbolic sine of z with no bounds on the real axis, in the interval $\mathrm{[-i\pi /2,\; +i\pi /2]}$ along the imaginary axis, and with branch cuts outside the interval $\mathrm{[-i,\; +i]}$ along the real axis.

Example

See the notes at the beginning of this chapter or section for information on using printf() or scanf() (and other functions reading and writing the stdin or stdout streams) in the example code.

#include <stdio.h>
#include <complex.h>

int main(void)
{
  double complex x, y;

  x = -2.0 + 0.0*I;
  y = casinh(x);
  printf("The complex arc hyperbolic cosine of %f + %fi is %f + %fi\n", creal(x), cimag(x), creal(y), cimag(y));
}

Example Output

The complex arc hyperbolic sine of -2.000000 + 1.000000i is -1.528571 + 0.427079i