cpp/numeric/complex/asinh

Computes complex arc hyperbolic sine of a complex value with branch cuts outside the interval $[−i; +i]$ along the imaginary axis.

Return value
If no errors occur, the complex arc hyperbolic sine of is returned, in the range of a strip mathematically unbounded along the real axis and in the interval $[−iπ/2; +iπ/2]$ along the imaginary axis.

Error handling and special values
Errors are reported consistent with math_errhandling.

If the implementation supports IEEE floating-point arithmetic,
 * If is, the result is
 * If is  (for any positive finite x), the result is
 * If is  (for any finite x), the result is  and fe_invalid may be raised
 * If is  (for any positive finite y), the result is
 * If is, the result is
 * If is, the result is
 * If is, the result is
 * If is  (for any finite nonzero y), the result is  and fe_invalid may be raised
 * If is, the result is  (the sign of the real part is unspecified)
 * If is, the result is
 * If is, the result is  (the sign of the real part is unspecified)
 * If is, the result is