Calculating the points of the bezier curve

pathpointcalculator.py

class PathPointCalculator():

  @staticmethod
  def calculate_path_point(control_point_quartet: ControlPointQuartet,
                           time_to_calculate: float):
    time: float = time_to_calculate - int(time_to_calculate)

    cx: float = 3.0 * (control_point_quartet.get_point(1).x -
                       control_point_quartet.get_point(0).x)
    cy: float = 3.0 * (control_point_quartet.get_point(1).y -
                       control_point_quartet.get_point(0).y)

    bx: float = 3.0 * (control_point_quartet.get_point(2).x -
                       control_point_quartet.get_point(1).x) - cx
    by: float = 3.0 * (control_point_quartet.get_point(2).y -
                       control_point_quartet.get_point(1).y) - cy

    ax: float = control_point_quartet.get_point(
        3).x - control_point_quartet.get_point(0).x - cx - bx
    ay: float = control_point_quartet.get_point(
        3).y - control_point_quartet.get_point(0).y - cy - by

    cube: float = time * time * time
    square: float = time * time

    resx: float = (ax * cube) + (bx * square) + \
        (cx * time) + control_point_quartet.get_point(0).x
    resy: float = (ay * cube) + (by * square) + \
        (cy * time) + control_point_quartet.get_point(0).y

    return PathPoint(resx, resy)