import numpy as np # Defined because pre-commit is inserting an unacceptable line-break# between the "1" (or "2") and the "/ 3"one_third = 1 / 3two_thirds = 2 / 3  # Expected values for matrices in split_bezierSPLIT_MATRICES = {    # For 0-degree Béziers    0: {        0: np.array([[1], [1]]),        one_third: np.array([[1], [1]]),        two_thirds: np.array([[1], [1]]),        1: np.array([[1], [1]]),    },    # For linear Béziers    1: {        0: np.array(            [                [1, 0],                [1, 0],                [1, 0],                [0, 1],            ]        ),        one_third: np.array(            [                [3, 0],                [2, 1],                [2, 1],                [0, 3],            ]        )        / 3,        two_thirds: np.array(            [                [3, 0],                [1, 2],                [1, 2],                [0, 3],            ]        )        / 3,        1: np.array(            [                [1, 0],                [0, 1],                [0, 1],                [0, 1],            ]        ),    },    # For quadratic Béziers    2: {        0: np.array(            [                [1, 0, 0],                [1, 0, 0],                [1, 0, 0],                [1, 0, 0],                [0, 1, 0],                [0, 0, 1],            ]        ),        one_third: np.array(            [                [9, 0, 0],                [6, 3, 0],                [4, 4, 1],                [4, 4, 1],                [0, 6, 3],                [0, 0, 9],            ]        )        / 9,        two_thirds: np.array(            [                [9, 0, 0],                [3, 6, 0],                [1, 4, 4],                [1, 4, 4],                [0, 3, 6],                [0, 0, 9],            ]        )        / 9,        1: np.array(            [                [1, 0, 0],                [0, 1, 0],                [0, 0, 1],                [0, 0, 1],                [0, 0, 1],                [0, 0, 1],            ]        ),    },    # For cubic Béziers    3: {        0: np.array(            [                [1, 0, 0, 0],                [1, 0, 0, 0],                [1, 0, 0, 0],                [1, 0, 0, 0],                [1, 0, 0, 0],                [0, 1, 0, 0],                [0, 0, 1, 0],                [0, 0, 0, 1],            ]        ),        one_third: np.array(            [                [27, 0, 0, 0],                [18, 9, 0, 0],                [12, 12, 3, 0],                [8, 12, 6, 1],                [8, 12, 6, 1],                [0, 12, 12, 3],                [0, 0, 18, 9],                [0, 0, 0, 27],            ]        )        / 27,        two_thirds: np.array(            [                [27, 0, 0, 0],                [9, 18, 0, 0],                [3, 12, 12, 0],                [1, 6, 12, 8],                [1, 6, 12, 8],                [0, 3, 12, 12],                [0, 0, 9, 18],                [0, 0, 0, 27],            ]        )        / 27,        1: np.array(            [                [1, 0, 0, 0],                [0, 1, 0, 0],                [0, 0, 1, 0],                [0, 0, 0, 1],                [0, 0, 0, 1],                [0, 0, 0, 1],                [0, 0, 0, 1],                [0, 0, 0, 1],            ]        ),    },    # Test case with a quartic Bézier    # to check if the fallback algorithms work    4: {        0: np.array(            [                [1, 0, 0, 0, 0],                [1, 0, 0, 0, 0],                [1, 0, 0, 0, 0],                [1, 0, 0, 0, 0],                [1, 0, 0, 0, 0],                [1, 0, 0, 0, 0],                [0, 1, 0, 0, 0],                [0, 0, 1, 0, 0],                [0, 0, 0, 1, 0],                [0, 0, 0, 0, 1],            ]        ),        one_third: np.array(            [                [81, 0, 0, 0, 0],                [54, 27, 0, 0, 0],                [36, 36, 9, 0, 0],                [24, 36, 18, 3, 0],                [16, 32, 24, 8, 1],                [16, 32, 24, 8, 1],                [0, 24, 36, 18, 3],                [0, 0, 36, 36, 9],                [0, 0, 0, 54, 27],                [0, 0, 0, 0, 81],            ]        )        / 81,        two_thirds: np.array(            [                [81, 0, 0, 0, 0],                [27, 54, 0, 0, 0],                [9, 36, 36, 0, 0],                [3, 18, 36, 24, 0],                [1, 8, 24, 32, 16],                [1, 8, 24, 32, 16],                [0, 3, 18, 36, 24],                [0, 0, 9, 36, 36],                [0, 0, 0, 27, 54],                [0, 0, 0, 0, 81],            ]        )        / 81,        1: np.array(            [                [1, 0, 0, 0, 0],                [0, 1, 0, 0, 0],                [0, 0, 1, 0, 0],                [0, 0, 0, 1, 0],                [0, 0, 0, 0, 1],                [0, 0, 0, 0, 1],                [0, 0, 0, 0, 1],                [0, 0, 0, 0, 1],                [0, 0, 0, 0, 1],                [0, 0, 0, 0, 1],            ]        ),    },}