
from __future__ import annotations

class       a		:







       def __init__(						self  :  Any      ,				snake_case__  :  int ):
        """simple docstring"""







        __lowerCAmelCase         =							order

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

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







       def       UpperCAmelCase__					(						self  :  List[str]      ,				snake_case__  :  list[float]      ,				snake_case__  :  list[float] ):
        """simple docstring"""







        if len(lowerCamelCase__ ) < self.order:
         __lowerCAmelCase         =							[1.0, *a_coeffs]

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

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

        __lowerCAmelCase         =							a_coeffs
        __lowerCAmelCase         =							b_coeffs







       def       UpperCAmelCase__					(						self  :  Tuple      ,				snake_case__  :  float ):
        """simple docstring"""







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

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

        __lowerCAmelCase         =							sample
        __lowerCAmelCase         =							result

        return result








from abc import ABC, abstractmethod
from argparse import ArgumentParser

class       a		(   __UpperCAmelCase					):







							@staticmethod
							@abstractmethod
							def       UpperCAmelCase__					(						snake_case__  :  ArgumentParser ):
								"""simple docstring"""







								raise NotImplementedError()







							@abstractmethod
							def       UpperCAmelCase__					(						self  :  Any ):
								"""simple docstring"""







								raise NotImplementedError()






