Compute the complex inverse hyperbolic sine
#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 compute the complex inverse hyperbolic sine of z, with branch cuts outside the interval [−i; +i] along the imaginary axis.
To check for error situations, use feclearexcept() and fetestexcept(). For example:
The complex inverse hyperbolic sine of z.
| If z is: | These functions return: | Errors: |
|---|---|---|
| 0 + 0i | 0 + 0i | — |
| x + Infi (for any positive finite x) | Inf + (π/2)i | — |
| x + NaNi (for any finite x) | NaN + NaNi | — |
| Inf + yi (for any positive finite y) | Inf + 0i | — |
| Inf + Infi | Inf + (π/4)i | — |
| Inf + NaNi | Inf + NaNi | — |
| NaN + 0i | NaN + 0i | — |
| NaN + yi (for any finite nonzero y) | NaN + NaNi | — |
| NaN + Infi | ±Inf ± NaNi, where the sign of the real part is unspecified | — |
| NaN + NaNi | NaN + NaNi | — |
These functions raise FE_INEXACT if the FPU reports that the result can't be exactly represented as a floating-point number.
| Safety: | |
|---|---|
| Cancellation point | No |
| Interrupt handler | No |
| Signal handler | No |
| Thread | Yes |