Inverse hyperbolic tangent element-wise.
Parameters:x : array_like
Returns:Input array.
out : ndarray
Array of the same shape as x.
Notes
arctanh is a multivalued function: for each x there are infinitely many numbers z such that tanh(z) = x. The convention is to return the z whose imaginary part lies in [-pi/2, pi/2].
For real-valued input data types, arctanh 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, arctanh is a complex analytical function that has branch cuts [-1, -inf] and [1, inf] and is continuous from above on the former and from below on the latter.
The inverse hyperbolic tangent is also known as atanh or tanh^-1.
References
Examples
>>> np.arctanh([0, -0.5]) array([ 0. , -0.54930614])
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