angle¶

paddle. angle ( x, name=None ) [source]

Element-wise angle of complex numbers. For non-negative real numbers, the angle is 0 while for negative real numbers, the angle is \(\pi\).

Equation:

\[angle(x)=arctan2(x.imag, x.real)\]

Parameters

• x (Tensor) – An N-D Tensor, the data type is complex64, complex128, or float32, float64 .

• name (str, optional) – Name for the operation (optional, default is None). For more information, please refer to Name.

Returns

An N-D Tensor of real data type with the same precision as that of x’s data type.

Return type

Tensor

Examples

>>> import paddle

>>> x = paddle.to_tensor([-2, -1, 0, 1]).unsqueeze(-1).astype('float32')
>>> y = paddle.to_tensor([-2, -1, 0, 1]).astype('float32')
>>> z = x + 1j * y
>>> z
Tensor(shape=[4, 4], dtype=complex64, place=Place(cpu), stop_gradient=True,
[[(-2-2j), (-2-1j), (-2+0j), (-2+1j)],
 [(-1-2j), (-1-1j), (-1+0j), (-1+1j)],
 [-2j    , -1j    ,  0j    ,  1j    ],
 [ (1-2j),  (1-1j),  (1+0j),  (1+1j)]])

>>> theta = paddle.angle(z)
>>> theta
Tensor(shape=[4, 4], dtype=float32, place=Place(cpu), stop_gradient=True,
[[-2.35619450, -2.67794514,  3.14159274,  2.67794514],
 [-2.03444386, -2.35619450,  3.14159274,  2.35619450],
 [-1.57079637, -1.57079637,  0.        ,  1.57079637],
 [-1.10714877, -0.78539819,  0.        ,  0.78539819]])