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This module implements 2d rotation matrix functionalities.
Given an angle of rotation
$$\theta$$
a 2d rotation matrix can be expressed as
$$
\mathbf{R} =
\begin{bmatrix}
\cos(\theta) & -\sin(\theta) \\
\sin(\theta) & \cos(\theta)
\end{bmatrix}.
$$
More details rotation matrices can be found on this page.
$$xy$$
-plane counterclockwise.
Functions
from_euler(...): Converts an angle to a 2d rotation matrix.
from_euler_with_small_angles_approximation(...): Converts an angle to a 2d rotation matrix under the small angle assumption.
inverse(...): Computes the inverse of a 2D rotation matrix.
is_valid(...): Determines if a matrix is a valid rotation matrix.
rotate(...): Rotates a 2d point using a 2d rotation matrix.