# scipy.spatial.distance.rogerstanimoto#

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

Compute the Rogers-Tanimoto dissimilarity between two boolean 1-D arrays.

The Rogers-Tanimoto dissimilarity between two boolean 1-D arrays u and v, is defined as

$\frac{R} {c_{TT} + c_{FF} + R}$

where $$c_{ij}$$ is the number of occurrences of $$\mathtt{u[k]} = i$$ and $$\mathtt{v[k]} = j$$ for $$k < n$$ and $$R = 2(c_{TF} + c_{FT})$$.

Parameters
u(N,) array_like, bool

Input array.

v(N,) array_like, bool

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
rogerstanimotodouble

The Rogers-Tanimoto dissimilarity between vectors u and v.

Examples

>>> from scipy.spatial import distance
>>> distance.rogerstanimoto([1, 0, 0], [0, 1, 0])
0.8
>>> distance.rogerstanimoto([1, 0, 0], [1, 1, 0])
0.5
>>> distance.rogerstanimoto([1, 0, 0], [2, 0, 0])
-1.0