|
| 1 | +""" |
| 2 | +GEOMETRIC MEAN : https://en.wikipedia.org/wiki/Geometric_mean |
| 3 | +""" |
| 4 | + |
| 5 | + |
| 6 | +def is_geometric_series(series: list) -> bool: |
| 7 | + """ |
| 8 | + checking whether the input series is geometric series or not |
| 9 | +
|
| 10 | + >>> is_geometric_series([2, 4, 8]) |
| 11 | + True |
| 12 | + >>> is_geometric_series([3, 6, 12, 24]) |
| 13 | + True |
| 14 | + >>> is_geometric_series([1, 2, 3]) |
| 15 | + False |
| 16 | + >>> is_geometric_series([0, 0, 3]) |
| 17 | + False |
| 18 | +
|
| 19 | + """ |
| 20 | + if len(series) == 1: |
| 21 | + return True |
| 22 | + try: |
| 23 | + common_ratio = series[1] / series[0] |
| 24 | + for index in range(len(series) - 1): |
| 25 | + if series[index + 1] / series[index] != common_ratio: |
| 26 | + return False |
| 27 | + except ZeroDivisionError: |
| 28 | + return False |
| 29 | + return True |
| 30 | + |
| 31 | + |
| 32 | +def geometric_mean(series: list) -> float: |
| 33 | + """ |
| 34 | + return the geometric mean of series |
| 35 | +
|
| 36 | + >>> geometric_mean([2, 4, 8]) |
| 37 | + 3.9999999999999996 |
| 38 | + >>> geometric_mean([3, 6, 12, 24]) |
| 39 | + 8.48528137423857 |
| 40 | + >>> geometric_mean([4, 8, 16]) |
| 41 | + 7.999999999999999 |
| 42 | + >>> geometric_mean(4) |
| 43 | + Traceback (most recent call last): |
| 44 | + ... |
| 45 | + ValueError: Input series is not valid, valid series - [2, 4, 8] |
| 46 | + >>> geometric_mean([1, 2, 3]) |
| 47 | + Traceback (most recent call last): |
| 48 | + ... |
| 49 | + ValueError: Input list is not a geometric series |
| 50 | + >>> geometric_mean([0, 2, 3]) |
| 51 | + Traceback (most recent call last): |
| 52 | + ... |
| 53 | + ValueError: Input list is not a geometric series |
| 54 | + >>> geometric_mean([]) |
| 55 | + Traceback (most recent call last): |
| 56 | + ... |
| 57 | + ValueError: Input list must be a non empty list |
| 58 | +
|
| 59 | + """ |
| 60 | + if not isinstance(series, list): |
| 61 | + raise ValueError("Input series is not valid, valid series - [2, 4, 8]") |
| 62 | + if len(series) == 0: |
| 63 | + raise ValueError("Input list must be a non empty list") |
| 64 | + if not is_geometric_series(series): |
| 65 | + raise ValueError("Input list is not a geometric series") |
| 66 | + answer = 1 |
| 67 | + for value in series: |
| 68 | + answer *= value |
| 69 | + return pow(answer, 1 / len(series)) |
| 70 | + |
| 71 | + |
| 72 | +if __name__ == "__main__": |
| 73 | + import doctest |
| 74 | + |
| 75 | + doctest.testmod() |
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