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maths/check_polygon.py
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poloso
[mypy] check polygon and corrections (#5419)
21 окт 2021, 16:13
Не верифицирован
21 окт 2021, 16:13
fdf095f
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from __future__ import annotations def check_polygon(nums: list[float]) -> bool: """ Takes list of possible side lengths and determines whether a two-dimensional polygon with such side lengths can exist. Returns a boolean value for the < comparison of the largest side length with sum of the rest. Wiki: https://en.wikipedia.org/wiki/Triangle_inequality >>> check_polygon([6, 10, 5]) True >>> check_polygon([3, 7, 13, 2]) False >>> check_polygon([1, 4.3, 5.2, 12.2]) False >>> nums = [3, 7, 13, 2] >>> _ = check_polygon(nums) # Run function, do not show answer in output >>> nums # Check numbers are not reordered [3, 7, 13, 2] >>> check_polygon([]) Traceback (most recent call last): ... ValueError: Monogons and Digons are not polygons in the Euclidean space >>> check_polygon([-2, 5, 6]) Traceback (most recent call last): ... ValueError: All values must be greater than 0 """ if len(nums) < 2: raise ValueError("Monogons and Digons are not polygons in the Euclidean space") if any(i <= 0 for i in nums): raise ValueError("All values must be greater than 0") copy_nums = nums.copy() copy_nums.sort() return copy_nums[-1] < sum(copy_nums[:-1]) if __name__ == "__main__": import doctest doctest.testmod()