import math

def polar_to_cartesian(radius, start_angle, end_angle, step_size, clockwise=True):
    # TODO: DOCS
    """Creates a list of discrete cartesian coordinates (x,y), given the radius, start- and end angles, the angle step size, and the direction of rotation. 
    Function then returns a list of two lists: list of angles and list of cartesian coordinates (x,y coordinates in a tuple).

    Args:
        radius (_type_): _description_
        start_angle (_type_): _description_
        end_angle (_type_): _description_
        step_size (_type_): _description_
        clockwise (bool, optional): _description_. Defaults to True.

    Returns:
        _type_: _description_
    """    """"""
    # Initialize lists to hold angles and (x, y) pairs
    angles = []
    coordinates = []

    # Normalize angles to the range [0, 360)
    start_angle = start_angle % 360
    end_angle = end_angle % 360

    if clockwise:
        # Clockwise rotation
        current_angle = start_angle
        while True:
            # Append the current angle to the angles list
            angles.append(current_angle % 360)

            # Convert the current angle to radians
            current_angle_rad = math.radians(current_angle % 360)
            
            # Convert polar to Cartesian coordinates
            x = radius * math.cos(current_angle_rad)
            y = radius * math.sin(current_angle_rad)
            
            # Append the (x, y) pair to the list
            coordinates.append((x, y))

            # Check if we've reached the end_angle (handling wrap-around)  (current_angle - step_size) % 360 == end_angle or
            if current_angle % 360 == end_angle:
                break

            # Decrement the current angle by the step size
            current_angle -= step_size
            if current_angle < 0:
                current_angle += 360
    else:
        # Counterclockwise rotation
        current_angle = start_angle
        while True:
            # Append the current angle to the angles list
            angles.append(current_angle % 360)

            # Convert the current angle to radians
            current_angle_rad = math.radians(current_angle % 360)
            
            # Convert polar to Cartesian coordinates
            x = radius * math.cos(current_angle_rad)
            y = radius * math.sin(current_angle_rad)
            
            # Append the (x, y) pair to the list
            coordinates.append((x, y))

            # Check if we've reached the end_angle (handling wrap-around)  (current_angle + step_size) % 360 == end_angle or
            if current_angle % 360 == end_angle:
                break

            # Increment the current angle by the step size
            current_angle += step_size
            if current_angle >= 360:
                current_angle -= 360

    return [angles, coordinates]

if __name__=="__main__":
    # Example usage
    radius = 5
    start_angle = 0
    end_angle = 0
    step_size = 10

    angles, coordinates = polar_to_cartesian(radius, start_angle, end_angle, step_size, clockwise=True)

    print('\n', "Angles:", angles, '\n')
    print("Coordinates:", coordinates, '\n',)