grains.geometry.squared_distance

grains.geometry.squared_distance(x, y)

Squared Euclidean distance between two points.

For points \(x(x_1, ..., x_n)\) and \(y(y_1, ... y_n)\) the following metric is computed

\[\sum\limits_{i=1}^n (x_i - y_i)^2\]

Parameters

x, y (ndarray) – 1D numpy array, containing the coordinates of the two points.

Returns

float – Squared Euclidean distance.

See also

distance_matrix()

Examples

>>> squared_distance(np.array([0, 0, 0]), np.array([1, 1, 1]))
3.0