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maths/mobius_function.py

@@ -1,9 +1,5 @@
 '''
 Refrences: https://en.wikipedia.org/wiki/M%C3%B6bius_function
-'''
-
-from prime_factors import prime_factors'''
-Refrences: https://en.wikipedia.org/wiki/M%C3%B6bius_function
 References: wikipedia:square free number
 '''
 
@@ -84,44 +80,6 @@ def is_square_free(factors:List[int]) -> bool:
  return False
  return True
 
-def mobius(n:int) -> int:
- '''
- Mobius function
- >>> mobius(24)
- 0
- >>> mobius(-1)
- 1
- >>> mobius('asd')
- Traceback (most recent call last):
- ...
- TypeError: '<=' not supported between instances of 'int' and 'str'
- >>> mobius(10**400)
- 0
- >>> mobius(10**-400)
- 1
- >>> mobius(-1424)
- 1
- >>> mobius([1, '2', 2.0])
- Traceback (most recent call last):
- ...
- TypeError: '<=' not supported between instances of 'int' and 'list'
- '''
- factors = prime_factors(n)
- if is_square_free(factors):
- if len(factors)%2 == 0:
- return 1
- elif len(factors)%2 != 0:
- return -1
- else:
- return 0
-
-if __name__ == '__main__':
- import doctest
- doctest.testmod()
-
-from is_square_free import is_square_free
-
-
 def mobius(n:int) -> int:
  '''
  Mobius function