colour.algebra.vector_dot¶
- colour.algebra.vector_dot(m: ArrayLike, v: ArrayLike) numpy.ndarray [source]¶
Perform the dot product of the matrix array \(m\) with the vector array \(v\).
This definition is a convenient wrapper around
np.einsum()
with the following subscripts: ‘…ij,…j->…i’.- Parameters
m (ArrayLike) – Matrix array \(m\).
v (ArrayLike) – Vector array \(v\).
- Returns
Transformed vector array \(v\).
- Return type
Examples
>>> m = np.array( ... [[0.7328, 0.4296, -0.1624], ... [-0.7036, 1.6975, 0.0061], ... [0.0030, 0.0136, 0.9834]] ... ) >>> m = np.reshape(np.tile(m, (6, 1)), (6, 3, 3)) >>> v = np.array([0.20654008, 0.12197225, 0.05136952]) >>> v = np.tile(v, (6, 1)) >>> vector_dot(m, v) array([[ 0.1954094..., 0.0620396..., 0.0527952...], [ 0.1954094..., 0.0620396..., 0.0527952...], [ 0.1954094..., 0.0620396..., 0.0527952...], [ 0.1954094..., 0.0620396..., 0.0527952...], [ 0.1954094..., 0.0620396..., 0.0527952...], [ 0.1954094..., 0.0620396..., 0.0527952...]])