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1e64bf4600
* added harmonic mean * Update maths/series/harmonic_mean.py Updated the write-up of reference given in the code. Co-authored-by: John Law <johnlaw.po@gmail.com> * changes in arithmetic and geometric mean code * mean and series added in a single file Co-authored-by: John Law <johnlaw.po@gmail.com>
78 lines
2.1 KiB
Python
78 lines
2.1 KiB
Python
"""
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Arithmetic mean
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Reference: https://en.wikipedia.org/wiki/Arithmetic_mean
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Arithmetic series
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Reference: https://en.wikipedia.org/wiki/Arithmetic_series
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(The URL above will redirect you to arithmetic progression)
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"""
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def is_arithmetic_series(series: list) -> bool:
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"""
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checking whether the input series is arithmetic series or not
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>>> is_arithmetic_series([2, 4, 6])
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True
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>>> is_arithmetic_series([3, 6, 12, 24])
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False
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>>> is_arithmetic_series([1, 2, 3])
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True
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>>> is_arithmetic_series(4)
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Traceback (most recent call last):
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...
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ValueError: Input series is not valid, valid series - [2, 4, 6]
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>>> is_arithmetic_series([])
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Traceback (most recent call last):
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...
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ValueError: Input list must be a non empty list
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"""
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if not isinstance(series, list):
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raise ValueError("Input series is not valid, valid series - [2, 4, 6]")
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if len(series) == 0:
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raise ValueError("Input list must be a non empty list")
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if len(series) == 1:
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return True
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common_diff = series[1] - series[0]
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for index in range(len(series) - 1):
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if series[index + 1] - series[index] != common_diff:
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return False
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return True
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def arithmetic_mean(series: list) -> float:
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"""
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return the arithmetic mean of series
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>>> arithmetic_mean([2, 4, 6])
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4.0
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>>> arithmetic_mean([3, 6, 9, 12])
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7.5
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>>> arithmetic_mean(4)
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Traceback (most recent call last):
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...
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ValueError: Input series is not valid, valid series - [2, 4, 6]
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>>> arithmetic_mean([4, 8, 1])
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4.333333333333333
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>>> arithmetic_mean([1, 2, 3])
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2.0
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>>> arithmetic_mean([])
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Traceback (most recent call last):
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...
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ValueError: Input list must be a non empty list
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"""
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if not isinstance(series, list):
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raise ValueError("Input series is not valid, valid series - [2, 4, 6]")
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if len(series) == 0:
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raise ValueError("Input list must be a non empty list")
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answer = 0
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for val in series:
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answer += val
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return answer / len(series)
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if __name__ == "__main__":
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import doctest
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doctest.testmod()
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