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# torch.polar

torch.polar(abs, angle, *, out=None) → Tensor

  Constructs a complex tensor whose elements are Cartesian coordinates corresponding to the polar coordinates with absolute value `abs` and angle `angle`.

  out=abs⋅cos⁡(angle)+abs⋅sin⁡(angle)⋅j\text{out} = \text{abs} \cdot \cos(\text{angle}) + \text{abs} \cdot \sin(\text{angle}) \cdot j out=abs⋅cos(angle)+abs⋅sin(angle)⋅j

  Note

  torch.polar is similar to std::polar and does not compute the polar decomposition of a complex tensor like Python’s cmath.polar and SciPy’s linalg.polar do. The behavior of this function is undefined if abs is negative or NaN, or if angle is infinite.

  Parameters:

    - abs (Tensor) – The absolute value the complex tensor. Must be float or double.

    - angle (Tensor) – The angle of the complex tensor. Must be same dtype as `abs`.

  Keyword Arguments:

    out (Tensor) – If the inputs are `torch.float32`, must be `torch.complex64`. If the inputs are `torch.float64`, must be `torch.complex128`.

  Example:

      >>> import numpy as np
      >>> abs = torch.tensor([1, 2], dtype=torch.float64)
      >>> angle = torch.tensor([np.pi / 2, 5 * np.pi / 4], dtype=torch.float64)
      >>> z = torch.polar(abs, angle)
      >>> z
      tensor([(0.0000+1.0000j), (-1.4142-1.4142j)], dtype=torch.complex128)

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