As per Numpy:
def angle(z, deg=False):
"""
Return the angle of the complex argument.
Parameters
----------
z : array_like
A complex number or sequence of complex numbers.
deg : bool, optional
Return angle in degrees if True, radians if False (default).
Returns
-------
angle : ndarray or scalar
The counterclockwise angle from the positive real axis on the complex
plane in the range ``(-pi, pi]``, with dtype as numpy.float64.
.. versionchanged:: 1.16.0
This function works on subclasses of ndarray like `ma.array`.
See Also
--------
arctan2
absolute
Notes
-----
This function passes the imaginary and real parts of the argument to
`arctan2` to compute the result; consequently, it follows the convention
of `arctan2` when the magnitude of the argument is zero. See example.
Examples
--------
>>> import numpy as np
>>> np.angle([1.0, 1.0j, 1+1j]) # in radians
array([ 0. , 1.57079633, 0.78539816]) # may vary
>>> np.angle(1+1j, deg=True) # in degrees
45.0
>>> np.angle([0., -0., complex(0., -0.), complex(-0., -0.)]) # convention
array([ 0. , 3.14159265, -0. , -3.14159265])
"""
z = asanyarray(z)
if issubclass(z.dtype.type, _nx.complexfloating):
zimag = z.imag
zreal = z.real
else:
zimag = 0
zreal = z
a = arctan2(zimag, zreal)
if deg:
a *= 180/pi
return a
As per Numpy: