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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