# scipy.spatial.distance.cosine¶

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

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 $$v$$.

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
cosinedouble

The Cosine distance between vectors u and v.

Examples

>>> from scipy.spatial import distance
>>> distance.cosine([1, 0, 0], [0, 1, 0])
1.0
>>> distance.cosine([100, 0, 0], [0, 1, 0])
1.0
>>> distance.cosine([1, 1, 0], [0, 1, 0])
0.29289321881345254


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