numpy.
fromfunction
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).
fn(x, y, z)
(x, y, z)
The function is called with N parameters, where N is the rank of shape. Each parameter represents the coordinates of the array varying along a specific axis. For example, if shape were (2, 2), then the parameters would be array([[0, 0], [1, 1]]) and array([[0, 1], [0, 1]])
shape
(2, 2)
array([[0, 0], [1, 1]])
array([[0, 1], [0, 1]])
Shape of the output array, which also determines the shape of the coordinate arrays passed to function.
Data-type of the coordinate arrays passed to function. By default, dtype is float.
dtype
The result of the call to function is passed back directly. Therefore the shape of fromfunction is completely determined by function. If function returns a scalar value, the shape of fromfunction would not match the shape parameter.
See also
indices, meshgrid
indices
meshgrid
Notes
Keywords other than 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]])
>>> np.fromfunction(lambda i, j: i + j, (3, 3), dtype=int) array([[0, 1, 2], [1, 2, 3], [2, 3, 4]])