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maths/special_numbers/hexagonal_number.py
49 строк
1 KB
Tianyi Zheng
Move files for special numbers to own directory (#10714)
20 окт 2023, 09:17
Не верифицирован
20 окт 2023, 09:17
6f2d6f7
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""" == Hexagonal Number == The nth hexagonal number hn is the number of distinct dots in a pattern of dots consisting of the outlines of regular hexagons with sides up to n dots, when the hexagons are overlaid so that they share one vertex. https://en.wikipedia.org/wiki/Hexagonal_number """ # Author : Akshay Dubey (https://github.com/itsAkshayDubey) def hexagonal(number: int) -> int: """ :param number: nth hexagonal number to calculate :return: the nth hexagonal number Note: A hexagonal number is only defined for positive integers >>> hexagonal(4) 28 >>> hexagonal(11) 231 >>> hexagonal(22) 946 >>> hexagonal(0) Traceback (most recent call last): ... ValueError: Input must be a positive integer >>> hexagonal(-1) Traceback (most recent call last): ... ValueError: Input must be a positive integer >>> hexagonal(11.0) Traceback (most recent call last): ... TypeError: Input value of [number=11.0] must be an integer """ if not isinstance(number, int): msg = f"Input value of [number={number}] must be an integer" raise TypeError(msg) if number < 1: raise ValueError("Input must be a positive integer") return number * (2 * number - 1) if __name__ == "__main__": import doctest doctest.testmod()