Inverse hyperbolic cosine, element-wise.
Parameters:x : array_like
Input array.
out : ndarray, optional
Returns:Array of the same shape as x, to store results in. See doc.ufuncs (Section “Output arguments”) for details.
arccosh : ndarray
Array of the same shape as x.
Notes
arccosh is a multivalued function: for each x there are infinitely many numbers z such that cosh(z) = x. The convention is to return the z whose imaginary part lies in [-pi, pi] and the real part in [0, inf].
For real-valued input data types, arccosh always returns real output. For each value that cannot be expressed as a real number or infinity, it yields nan and sets the invalid floating point error flag.
For complex-valued input, arccosh is a complex analytical function that has a branch cut [-inf, 1] and is continuous from above on it.
References
Examples
>>> np.arccosh([np.e, 10.0]) array([ 1.65745445, 2.99322285]) >>> np.arccosh(1) 0.0
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