# scipy.spatial.distance.rogerstanimoto

scipy.spatial.distance.rogerstanimoto(u, v, w=None)

  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:
    rogerstanimoto double

      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