SciPy

scipy.spatial.distance.braycurtis

scipy.spatial.distance.braycurtis(u, v, w=None)[source]

Compute the Bray-Curtis distance between two 1-D arrays.

Bray-Curtis distance is defined as

\[\sum{|u_i-v_i|} / \sum{|u_i+v_i|}\]

The Bray-Curtis distance is in the range [0, 1] if all coordinates are positive, and is undefined if the inputs are of length zero.

Parameters:

u : (N,) array_like

Input array.

v : (N,) array_like

Input array.

w : (N,) array_like, optional

The weights for each value in u and v. Default is None, which gives each value a weight of 1.0

Returns:

braycurtis : double

The Bray-Curtis distance between 1-D arrays u and v.

Examples

>>> from scipy.spatial import distance
>>> distance.braycurtis([1, 0, 0], [0, 1, 0])
1.0
>>> distance.braycurtis([1, 1, 0], [0, 1, 0])
0.33333333333333331