


from __future__ import annotations




class A    :






      def __init__(   self		:	List[str]     ,  lowercase_		:	int					)   ->		None:
             """simple docstring"""




             _lowerCamelCase			:						Any            =order

             # a_{0} ... a_{k}
             _lowerCamelCase			:						List[str]            =[1.0] + [0.0] * order
             # b_{0} ... b_{k}
             _lowerCamelCase			:						Dict            =[1.0] + [0.0] * order

             # x[n-1] ... x[n-k]
             _lowerCamelCase			:						List[str]            =[0.0] * self.order
             # y[n-1] ... y[n-k]
             _lowerCamelCase			:						List[Any]            =[0.0] * self.order






      def 			lowerCamelCase			(   self		:	str     ,  lowercase_		:	list[float]     ,  lowercase_		:	list[float]					)   ->		None:
             """simple docstring"""




             if len(lowercase_					) < self.order:
                    _lowerCamelCase			:						List[Any]            =[1.0, *a_coeffs]

             if len(lowercase_					) != self.order + 1:
                    _lowerCamelCase			:						Union[str, Any]            =(
                        F'''Expected a_coeffs to have {self.order + 1} elements '''
                        F'''for {self.order}-order filter, got {len(lowercase_					)}'''
                    )
                    raise ValueError(lowercase_					)

             if len(lowercase_					) != self.order + 1:
                    _lowerCamelCase			:						Optional[int]            =(
                        F'''Expected b_coeffs to have {self.order + 1} elements '''
                        F'''for {self.order}-order filter, got {len(lowercase_					)}'''
                    )
                    raise ValueError(lowercase_					)

             _lowerCamelCase			:						Dict            =a_coeffs
             _lowerCamelCase			:						str            =b_coeffs






      def 			lowerCamelCase			(   self		:	str     ,  lowercase_		:	float					)   ->		float:
             """simple docstring"""




             _lowerCamelCase			:						List[str]            =0.0

             # Start at index 1 and do index 0 at the end.
             for i in range(1     ,  self.order + 1					):
                    result += (
                        self.b_coeffs[i] * self.input_history[i - 1]
                        - self.a_coeffs[i] * self.output_history[i - 1]
                    )

             _lowerCamelCase			:						List[Any]            =(result + self.b_coeffs[0] * sample) / self.a_coeffs[0]

             _lowerCamelCase			:						Dict            =self.input_history[:-1]
             _lowerCamelCase			:						List[Any]            =self.output_history[:-1]

             _lowerCamelCase			:						int            =sample
             _lowerCamelCase			:						int            =result

             return result






def       a_ (       SCREAMING_SNAKE_CASE__   : bytes	):
       '''simple docstring'''





       return "".join([hex(SCREAMING_SNAKE_CASE__	)[2:].zfill(2	).upper() for byte in list(SCREAMING_SNAKE_CASE__	)]	)




def       a_ (       SCREAMING_SNAKE_CASE__   : str	):
       '''simple docstring'''





       if (len(SCREAMING_SNAKE_CASE__	) % 2) != 0:
              raise ValueError(
                  'Base16 encoded data is invalid:\nData does not have an even number of hex digits.'	)
       # Check the character set - the standard base16 alphabet
       # is uppercase according to RFC3548 section 6
       if not set(SCREAMING_SNAKE_CASE__	) <= set('0123456789ABCDEF'	):
              raise ValueError(
                  'Base16 encoded data is invalid:\nData is not uppercase hex or it contains invalid characters.'	)
       # For every two hexadecimal digits (= a byte), turn it into an integer.
       # Then, string the result together into bytes, and return it.
       return bytes(int(data[i] + data[i + 1]						,     16	) for i in range(0						,     len(SCREAMING_SNAKE_CASE__	)						,     2	)	)


if __name__ == "__main__":
 import doctest

 doctest.testmod()


