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 |