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Module « numpy.emath »

Fonction arctanh - module numpy.emath

Signature de la fonction arctanh

def arctanh(x) 

Description

help(numpy.emath.arctanh)

Compute the inverse hyperbolic tangent of `x`.

Return the "principal value" (for a description of this, see
`numpy.arctanh`) of ``arctanh(x)``. For real `x` such that
``abs(x) < 1``, this is a real number.  If `abs(x) > 1`, or if `x` is
complex, the result is complex. Finally, `x = 1` returns``inf`` and
``x=-1`` returns ``-inf``.

Parameters
----------
x : array_like
   The value(s) whose arctanh is (are) required.

Returns
-------
out : ndarray or scalar
   The inverse hyperbolic tangent(s) of the `x` value(s). If `x` was
   a scalar so is `out`, otherwise an array is returned.


See Also
--------
numpy.arctanh

Notes
-----
For an arctanh() that returns ``NAN`` when real `x` is not in the
interval ``(-1,1)``, use `numpy.arctanh` (this latter, however, does
return +/-inf for ``x = +/-1``).

Examples
--------
>>> import numpy as np
>>> np.set_printoptions(precision=4)

>>> np.emath.arctanh(0.5)
0.5493061443340549

>>> from numpy.testing import suppress_warnings
>>> with suppress_warnings() as sup:
...     sup.filter(RuntimeWarning)
...     np.emath.arctanh(np.eye(2))
array([[inf,  0.],
       [ 0., inf]])
>>> np.emath.arctanh([1j])
array([0.+0.7854j])

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