

def       A_     (							a    ,      a    ,      a=False     ):

      """simple docstring"""



      if isinstance(a    ,      a     ) and isinstance(a    ,      a     ):
            SCREAMING_SNAKE_CASE_ :     int							=   len(set_a.intersection(a     )     )

            if alternative_union:
                  SCREAMING_SNAKE_CASE_ :     Dict							=   len(a     ) + len(a     )
            else:
                  SCREAMING_SNAKE_CASE_ :     Optional[int]							=   len(set_a.union(a     )     )

            return intersection / union

      if isinstance(a    ,      (list, tuple)     ) and isinstance(a    ,      (list, tuple)     ):
            SCREAMING_SNAKE_CASE_ :     Tuple							=   [element for element in set_a if element in set_b]

            if alternative_union:
                  SCREAMING_SNAKE_CASE_ :     List[str]							=   len(a     ) + len(a     )
                  return len(a     ) / union
            else:
                  SCREAMING_SNAKE_CASE_ :     List[str]							=   set_a + [element for element in set_b if element not in set_a]
                  return len(a     ) / len(a     )

            return len(a     ) / len(a     )
      return None


if __name__ == "__main__":
    lowerCAmelCase   :      Any     =     {"""a""", """b""", """c""", """d""", """e"""}
    lowerCAmelCase   :      List[Any]     =     {"""c""", """d""", """e""", """f""", """h""", """i"""}
    print(jaccard_similarity(set_a, set_b))







'''simple docstring'''

import doctest
from collections import deque

import numpy as np



class 			UpperCAmelCase  :





       '''simple docstring'''



       def __init__(						self )  ->  None:
        lowercase__				:    str  =					[2, 1, 2, -1]
        lowercase__				:    str  =					[1, 2, 3, 4]


       def _lowerCAmelCase(						self )  ->  list[float]:
        lowercase__				:    Optional[Any]  =					len(self.first_signal )
        lowercase__				:    Union[str, Any]  =					len(self.second_signal )

        lowercase__				:    int  =					max(__lowerCAmelCase	,   __lowerCAmelCase )

        # create a zero matrix of max_length x max_length
        lowercase__				:    List[str]  =					[[0] * max_length for i in range(__lowerCAmelCase )]

        # fills the smaller signal with zeros to make both signals of same length
        if length_first_signal < length_second_signal:
         self.first_signal += [0] * (max_length - length_first_signal)
        elif length_first_signal > length_second_signal:
         self.second_signal += [0] * (max_length - length_second_signal)
        for i in range(__lowerCAmelCase ):
         lowercase__				:    int  =					deque(self.second_signal )
         rotated_signal.rotate(__lowerCAmelCase )
         for j, item in enumerate(__lowerCAmelCase ):
          matrix[i][j] += item

        # multiply the matrix with the first signal
        lowercase__				:    Optional[int]  =					np.matmul(np.transpose(__lowerCAmelCase )	,   np.transpose(self.first_signal ) )

        # rounding-off to two decimal places
        return [round(__lowerCAmelCase	,   2 ) for i in final_signal]


if __name__ == "__main__":
  doctest.testmod()

