`scipy.spatial.distance:cosine`

Signature

def cosine(u, v, w = None)

Compute the Cosine distance between 1-D arrays.

The Cosine distance between u and v, is defined as

1 - \frac{u \cdot v}{∥ u ∥ _{2} ∥ v ∥ _{2}} .

where $u \cdot v$ is the dot product of $u$ and $v$ .

u : (N,) array_like of floats: Input array.
v : (N,) array_like of floats: Input array.
w : (N,) array_like of floats, optional: The weights for each value in u and v. Default is None, which gives each value a weight of 1.0

from scipy.spatial import distance

✓

distance.cosine([1, 0, 0], [0, 1, 0])
distance.cosine([100, 0, 0], [0, 1, 0])
distance.cosine([1, 1, 0], [0, 1, 0])

✗

np.float64(0.29289321881345254)