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# numpy.ma.fromfunction

`numpy.ma.``fromfunction`(function, shape, **kwargs)

  Construct an array by executing a function over each coordinate.

  The resulting array therefore has a value `fn(x, y, z)` at coordinate `(x, y, z)`.

  Parameters : | function : callable The function is called with N parameters, each of which represents the coordinates of the array varying along a specific axis. For example, if shape were `(2, 2)`, then the parameters would be two arrays, `[[0, 0], [1, 1]]` and `[[0, 1], [0, 1]]`. function must be capable of operating on arrays, and should return a scalar value. shape : (N,) tuple of ints Shape of the output array, which also determines the shape of the coordinate arrays passed to function. dtype : data-type, optional Data-type of the coordinate arrays passed to function. By default, dtype is float.
  Returns : | out : any The result of the call to function is passed back directly. Therefore the type and shape of out is completely determined by function.

  See also

  `indices`, `meshgrid`

  Notes

  Keywords other than shape and dtype are passed to function.

  Examples

      >>> np.fromfunction(lambda i, j: i == j, (3, 3), dtype=int)
      array([[ True, False, False],
             [False,  True, False],
             [False, False,  True]], dtype=bool)

      >>> np.fromfunction(lambda i, j: i + j, (3, 3), dtype=int)
      array([[0, 1, 2],
             [1, 2, 3],
             [2, 3, 4]])

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