dpnp.arctan2

dpnp.arctan2(x1, x2, out=None, where=True, order='K', dtype=None, subok=True, **kwargs)

Calculates the inverse tangent of the quotient x1_i/x2_i for each element x1_i of the input array x1 with the respective element x2_i of the input array x2. Each element-wise result is expressed in radians.

Note that dpnp.atan2 is an alias of dpnp.arctan2. This function is not defined for complex-valued arguments; for the so-called argument of complex values, use dpnp.angle.

For full documentation refer to numpy.arctan2.

Parameters:

x1 ({dpnp.ndarray, usm_ndarray, scalar}) -- First input array, expected to have a real-valued floating-point data type. Both inputs x1 and x2 can not be scalars at the same time.
x2 ({dpnp.ndarray, usm_ndarray, scalar}) -- Second input array, also expected to have a real-valued floating-point data type. Both inputs x1 and x2 can not be scalars at the same time.
out ({None, dpnp.ndarray, usm_ndarray}, optional) -- Output array to populate. Array must have the correct shape and the expected data type. Default: None.
order ({"C", "F", "A", "K"}, optional) -- Memory layout of the newly output array, if parameter out is None. Default: "K".

Returns:

out -- An array containing the inverse tangent of the quotient x1/x2. The returned array must have a real-valued floating-point data type determined by Type Promotion Rules.

Return type:

dpnp.ndarray

Limitations

Parameters where and subok are supported with their default values. Keyword arguments kwargs are currently unsupported. Otherwise NotImplementedError exception will be raised.

See also

dpnp.arctan: Trigonometric inverse tangent, element-wise.
dpnp.tan: Compute tangent element-wise.
dpnp.angle: Return the angle of the complex argument.
dpnp.arcsin: Trigonometric inverse sine, element-wise.
dpnp.arccos: Trigonometric inverse cosine, element-wise.
dpnp.arctanh: Inverse hyperbolic tangent, element-wise.

Examples

>>> import dpnp as np
>>> x1 = np.array([1., -1.])
>>> x2 = np.array([0., 0.])
>>> np.arctan2(x1, x2)
array([1.57079633, -1.57079633])

>>> x1 = np.array([0., 0., np.inf])
>>> x2 = np.array([+0., -0., np.inf])
>>> np.arctan2(x1, x2)
array([0.0 , 3.14159265, 0.78539816])

>>> x1 = np.array([-1, +1, +1, -1])
>>> x2 = np.array([-1, -1, +1, +1])
>>> np.arctan2(x1, x2) * 180 / np.pi
array([-135.,  -45.,   45.,  135.])