

'''simple docstring'''
from __future__ import annotations







class 							A__    :





  def __init__(		self      :	int							,					_a      :	int )	->    None:





       '''simple docstring'''






       _SCREAMING_SNAKE_CASE							    =order

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

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





  def 						A  (		self      :	Dict							,					_a      :	list[float]							,					_a      :	list[float] )	->    None:





       '''simple docstring'''






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

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

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

       _SCREAMING_SNAKE_CASE							    =a_coeffs
       _SCREAMING_SNAKE_CASE							    =b_coeffs





  def 						A  (		self      :	Union[str, Any]							,					_a      :	float )	->    float:





       '''simple docstring'''






       _SCREAMING_SNAKE_CASE							    =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]
            )

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

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

       _SCREAMING_SNAKE_CASE							    =sample
       _SCREAMING_SNAKE_CASE							    =result

       return result



'''simple docstring'''
lowerCamelCase :      Any					 =     "\n# Transformers installation\n! pip install transformers datasets\n# To install from source instead of the last release, comment the command above and uncomment the following one.\n# ! pip install git+https://github.com/huggingface/transformers.git\n"

lowerCamelCase :      int					 =     [{"type": "code", "content": INSTALL_CONTENT}]
lowerCamelCase :      str					 =     {
    "{processor_class}": "FakeProcessorClass",
    "{model_class}": "FakeModelClass",
    "{object_class}": "FakeObjectClass",
}
