



from __future__ import annotations


class   snake_case_ :




       """simple docstring"""






       def __init__(     self     ,lowercase):

             """simple docstring"""





             UpperCAmelCase_  :	Any				      =		order

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

             # x[n-1] ... x[n-k]
             UpperCAmelCase_  :	Dict				      =		[0.0] * self.order
             # y[n-1] ... y[n-k]
             UpperCAmelCase_  :	Optional[Any]				      =		[0.0] * self.order



       def  A_   (     self     ,lowercase     ,lowercase):

             """simple docstring"""





             if len(lowercase) < self.order:
                   UpperCAmelCase_  :	Tuple				      =		[1.0, *a_coeffs]

             if len(lowercase) != self.order + 1:
                   UpperCAmelCase_  :	Tuple				      =		(
                       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:
                   UpperCAmelCase_  :	List[str]				      =		(
                       F"""Expected b_coeffs to have {self.order + 1} elements """
                       F"""for {self.order}-order filter, got {len(lowercase)}"""
                   )
                   raise ValueError(lowercase)

             UpperCAmelCase_  :	Tuple				      =		a_coeffs
             UpperCAmelCase_  :	str				      =		b_coeffs



       def  A_   (     self     ,lowercase):

             """simple docstring"""





             UpperCAmelCase_  :	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]
                   )

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

             UpperCAmelCase_  :	str				      =		self.input_history[:-1]
             UpperCAmelCase_  :	Optional[Any]				      =		self.output_history[:-1]

             UpperCAmelCase_  :	Optional[int]				      =		sample
             UpperCAmelCase_  :	Dict				      =		result

             return result





from abc import ABC, abstractmethod
from typing import Optional, Union

from .. import Dataset, DatasetDict, Features, IterableDataset, IterableDatasetDict, NamedSplit
from ..utils.typing import NestedDataStructureLike, PathLike


class   snake_case_ (lowercase__  ):




       """simple docstring"""






       def __init__(     self     ,lowercase = None     ,lowercase = None     ,lowercase = None     ,lowercase = None     ,lowercase = False     ,lowercase = False     ,lowercase = None     ,**lowercase     ,):

             """simple docstring"""





             UpperCAmelCase_  :	Optional[Any]				      =		path_or_paths
             UpperCAmelCase_  :	Optional[int]				      =		split if split or isinstance(lowercase     ,lowercase) else "train"
             UpperCAmelCase_  :	Optional[int]				      =		features
             UpperCAmelCase_  :	Dict				      =		cache_dir
             UpperCAmelCase_  :	int				      =		keep_in_memory
             UpperCAmelCase_  :	Tuple				      =		streaming
             UpperCAmelCase_  :	Union[str, Any]				      =		num_proc
             UpperCAmelCase_  :	Union[str, Any]				      =		kwargs



       @abstractmethod
       def  A_   (     self):

             """simple docstring"""





             pass


class   snake_case_ (lowercase__  ):




       """simple docstring"""






       def __init__(     self     ,lowercase = None     ,lowercase = None     ,lowercase = False     ,lowercase = False     ,lowercase = None     ,**lowercase     ,):

             """simple docstring"""





             UpperCAmelCase_  :	List[Any]				      =		features
             UpperCAmelCase_  :	List[Any]				      =		cache_dir
             UpperCAmelCase_  :	List[str]				      =		keep_in_memory
             UpperCAmelCase_  :	Optional[int]				      =		streaming
             UpperCAmelCase_  :	Dict				      =		num_proc
             UpperCAmelCase_  :	str				      =		kwargs



       @abstractmethod
       def  A_   (     self):

             """simple docstring"""





             pass
