mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-24 05:21:09 +00:00
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
"""
|
|
Arithmetic mean
|
|
Reference: https://en.wikipedia.org/wiki/Arithmetic_mean
|
|
|
|
Arithmetic series
|
|
Reference: https://en.wikipedia.org/wiki/Arithmetic_series
|
|
(The URL above will redirect you to arithmetic progression)
|
|
"""
|
|
|
|
|
|
def is_arithmetic_series(series: list) -> bool:
|
|
"""
|
|
checking whether the input series is arithmetic series or not
|
|
>>> is_arithmetic_series([2, 4, 6])
|
|
True
|
|
>>> is_arithmetic_series([3, 6, 12, 24])
|
|
False
|
|
>>> is_arithmetic_series([1, 2, 3])
|
|
True
|
|
>>> is_arithmetic_series(4)
|
|
Traceback (most recent call last):
|
|
...
|
|
ValueError: Input series is not valid, valid series - [2, 4, 6]
|
|
>>> is_arithmetic_series([])
|
|
Traceback (most recent call last):
|
|
...
|
|
ValueError: Input list must be a non empty list
|
|
"""
|
|
if not isinstance(series, list):
|
|
raise ValueError("Input series is not valid, valid series - [2, 4, 6]")
|
|
if len(series) == 0:
|
|
raise ValueError("Input list must be a non empty list")
|
|
if len(series) == 1:
|
|
return True
|
|
common_diff = series[1] - series[0]
|
|
for index in range(len(series) - 1):
|
|
if series[index + 1] - series[index] != common_diff:
|
|
return False
|
|
return True
|
|
|
|
|
|
def arithmetic_mean(series: list) -> float:
|
|
"""
|
|
return the arithmetic mean of series
|
|
|
|
>>> arithmetic_mean([2, 4, 6])
|
|
4.0
|
|
>>> arithmetic_mean([3, 6, 9, 12])
|
|
7.5
|
|
>>> arithmetic_mean(4)
|
|
Traceback (most recent call last):
|
|
...
|
|
ValueError: Input series is not valid, valid series - [2, 4, 6]
|
|
>>> arithmetic_mean([4, 8, 1])
|
|
4.333333333333333
|
|
>>> arithmetic_mean([1, 2, 3])
|
|
2.0
|
|
>>> arithmetic_mean([])
|
|
Traceback (most recent call last):
|
|
...
|
|
ValueError: Input list must be a non empty list
|
|
|
|
"""
|
|
if not isinstance(series, list):
|
|
raise ValueError("Input series is not valid, valid series - [2, 4, 6]")
|
|
if len(series) == 0:
|
|
raise ValueError("Input list must be a non empty list")
|
|
answer = 0
|
|
for val in series:
|
|
answer += val
|
|
return answer / len(series)
|
|
|
|
|
|
if __name__ == "__main__":
|
|
import doctest
|
|
|
|
doctest.testmod()
|