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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def _deconstruct_single_qubit_matrix_into_gate_turns( mat: np.ndarray) -> Tuple[float, float, float]: """Breaks down a 2x2 unitary into gate parameters. Args: mat: The 2x2 unitary matrix to break down. Returns: A tuple containing the amount to rotate around an XY axis, the phase of that axis, and the amount to phase around Z. All results will be in fractions of a whole turn, with values canonicalized into the range [-0.5, 0.5). """

    pre_phase, rotation, post_phase = (
        linalg.deconstruct_single_qubit_matrix_into_angles(mat))

    # Figure out parameters of the actual gates we will do.
    tau = 2 * np.pi
    xy_turn = rotation / tau
    xy_phase_turn = 0.25 - pre_phase / tau
    total_z_turn = (post_phase + pre_phase) / tau

    # Normalize turns into the range [-0.5, 0.5).
    return (_signed_mod_1(xy_turn), _signed_mod_1(xy_phase_turn),
            _signed_mod_1(total_z_turn))