89 lines
3.1 KiB
Python
89 lines
3.1 KiB
Python
import math
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def polar_to_cartesian(radius, start_angle, end_angle, step_size, clockwise=True):
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# TODO: DOCS
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"""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.
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Function then returns a list of two lists: list of angles and list of cartesian coordinates (x,y coordinates in a tuple).
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Args:
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radius (_type_): _description_
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start_angle (_type_): _description_
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end_angle (_type_): _description_
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step_size (_type_): _description_
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clockwise (bool, optional): _description_. Defaults to True.
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Returns:
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_type_: _description_
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""" """"""
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# Initialize lists to hold angles and (x, y) pairs
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angles = []
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coordinates = []
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# Normalize angles to the range [0, 360)
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start_angle = start_angle % 360
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end_angle = end_angle % 360
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if clockwise:
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# Clockwise rotation
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current_angle = start_angle
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while True:
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# Append the current angle to the angles list
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angles.append(current_angle % 360)
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# Convert the current angle to radians
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current_angle_rad = math.radians(current_angle % 360)
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# Convert polar to Cartesian coordinates
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x = radius * math.cos(current_angle_rad)
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y = radius * math.sin(current_angle_rad)
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# Append the (x, y) pair to the list
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coordinates.append((x, y))
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# Check if we've reached the end_angle (handling wrap-around) (current_angle - step_size) % 360 == end_angle or
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if current_angle % 360 == end_angle:
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break
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# Decrement the current angle by the step size
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current_angle -= step_size
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if current_angle < 0:
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current_angle += 360
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else:
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# Counterclockwise rotation
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current_angle = start_angle
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while True:
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# Append the current angle to the angles list
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angles.append(current_angle % 360)
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# Convert the current angle to radians
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current_angle_rad = math.radians(current_angle % 360)
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# Convert polar to Cartesian coordinates
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x = radius * math.cos(current_angle_rad)
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y = radius * math.sin(current_angle_rad)
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# Append the (x, y) pair to the list
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coordinates.append((x, y))
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# Check if we've reached the end_angle (handling wrap-around) (current_angle + step_size) % 360 == end_angle or
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if current_angle % 360 == end_angle:
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break
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# Increment the current angle by the step size
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current_angle += step_size
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if current_angle >= 360:
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current_angle -= 360
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return [angles, coordinates]
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if __name__=="__main__":
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# Example usage
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radius = 5
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start_angle = 0
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end_angle = 0
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step_size = 10
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angles, coordinates = polar_to_cartesian(radius, start_angle, end_angle, step_size, clockwise=True)
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print('\n', "Angles:", angles, '\n')
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print("Coordinates:", coordinates, '\n',) |