


"""simple docstring"""







from ..utils import DummyObject, requires_backends






class       __A				(       metaclass=_SCREAMING_SNAKE_CASE			):






 """simple docstring"""




 __lowerCAmelCase 					=  ["torch", "torchsde"]


 def __init__(		self ,    *__A ,    **__A						)					->     Dict:
     requires_backends(self ,    ['''torch''', '''torchsde''']						)


 @classmethod
 def       SCREAMING_SNAKE_CASE							(		cls ,    *__A ,    **__A						)					->     int:
     requires_backends(cls ,    ['''torch''', '''torchsde''']						)





 @classmethod
 def       SCREAMING_SNAKE_CASE							(		cls ,    *__A ,    **__A						)					->     List[Any]:
     requires_backends(cls ,    ['''torch''', '''torchsde''']						)



def    snake_case_     (  snake_case			,							snake_case     )  ->				str:
       if number < 0 or shift_amount < 0:
              raise ValueError('both inputs must be positive integers'     )

       lowercase__:   str  			=   str(bin(snake_case     )     )
       binary_number += "0" * shift_amount
       return binary_number




def    snake_case_     (  snake_case			,							snake_case     )  ->				str:
       if number < 0 or shift_amount < 0:
              raise ValueError('both inputs must be positive integers'     )

       lowercase__:   Optional[Any]  			=   str(bin(snake_case     )     )[2:]
       if shift_amount >= len(snake_case     ):
              return "0b0"
       lowercase__:   Optional[int]  			=   binary_number[: len(snake_case     ) - shift_amount]
       return "0b" + shifted_binary_number




def    snake_case_     (  snake_case			,							snake_case     )  ->				str:
       if number >= 0:  # Get binary representation of positive number
              lowercase__:   Union[str, Any]  			=   '0' + str(bin(snake_case     )     ).strip('-'     )[2:]
       else:  # Get binary (2's complement) representation of negative number
              lowercase__:   Dict  			=   len(bin(snake_case     )[3:]     )  # Find 2's complement of number
              lowercase__:   int  			=   bin(abs(snake_case     ) - (1 << binary_number_length)     )[3:]
              lowercase__:   Any  			=   (
                  '1' + '0' * (binary_number_length - len(snake_case     )) + binary_number
              )

       if shift_amount >= len(snake_case     ):
              return "0b" + binary_number[0] * len(snake_case     )
       return (
           "0b"
           + binary_number[0] * shift_amount
           + binary_number[: len(snake_case     ) - shift_amount]
       )


if __name__ == "__main__":
 import doctest

 doctest.testmod()


