
from __future__ import annotations







class 			A_  :




	'''simple docstring'''


	def __init__(			self						,       snake_case			):
		lowercase	    =       order

		# a_{0} ... a_{k}
		lowercase	    =       [1.0] + [0.0] * order
		# b_{0} ... b_{k}
		lowercase	    =       [1.0] + [0.0] * order

		# x[n-1] ... x[n-k]
		lowercase	    =       [0.0] * self.order
		# y[n-1] ... y[n-k]
		lowercase	    =       [0.0] * self.order





	def       SCREAMING_SNAKE_CASE__		(			self						,       snake_case						,       snake_case			):
		if len(snake_case			) < self.order:
			lowercase	    =       [1.0, *a_coeffs]

		if len(snake_case			) != self.order + 1:
			lowercase	    =       (
			    F'''Expected a_coeffs to have {self.order + 1} elements '''
			    F'''for {self.order}-order filter, got {len(snake_case			)}'''
			)
			raise ValueError(snake_case			)

		if len(snake_case			) != self.order + 1:
			lowercase	    =       (
			    F'''Expected b_coeffs to have {self.order + 1} elements '''
			    F'''for {self.order}-order filter, got {len(snake_case			)}'''
			)
			raise ValueError(snake_case			)

		lowercase	    =       a_coeffs
		lowercase	    =       b_coeffs





	def       SCREAMING_SNAKE_CASE__		(			self						,       snake_case			):
		lowercase	    =       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]
			)

		lowercase	    =       (result + self.b_coeffs[0] * sample) / self.a_coeffs[0]

		lowercase	    =       self.input_history[:-1]
		lowercase	    =       self.output_history[:-1]

		lowercase	    =       sample
		lowercase	    =       result

		return result






"""simple docstring"""

def  __snake_case							(	__A      :						list							,		__A      :						int							,		__A      :						int = 0							,		__A      :						int = 0     )     ->       int:






				'''simple docstring'''
				SCREAMING_SNAKE_CASE						:							Any							=     right or len(__A     ) - 1
				if left > right:
								return -1
				elif list_data[left] == key:
								return left
				elif list_data[right] == key:
								return right
				else:
								return search(__A							,		__A							,		left + 1							,		right - 1     )


if __name__ == "__main__":
							import doctest

							doctest.testmod()





