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33 lines
768 B
Python
33 lines
768 B
Python
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import math
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def rectangular_to_polar(real: float, img: float) -> tuple[float, float]:
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"""
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https://en.wikipedia.org/wiki/Polar_coordinate_system
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>>> rectangular_to_polar(5,-5)
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(7.07, -45.0)
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>>> rectangular_to_polar(-1,1)
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(1.41, 135.0)
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>>> rectangular_to_polar(-1,-1)
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(1.41, -135.0)
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>>> rectangular_to_polar(1e-10,1e-10)
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(0.0, 45.0)
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>>> rectangular_to_polar(-1e-10,1e-10)
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(0.0, 135.0)
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>>> rectangular_to_polar(9.75,5.93)
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(11.41, 31.31)
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>>> rectangular_to_polar(10000,99999)
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(100497.76, 84.29)
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"""
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mod = round(math.sqrt((real**2) + (img**2)), 2)
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ang = round(math.degrees(math.atan2(img, real)), 2)
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return (mod, ang)
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if __name__ == "__main__":
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import doctest
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doctest.testmod()
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