
"""simple docstring"""





from __future__ import annotations


class A_	:




  '''simple docstring'''







  def __init__(		self				,   lowercase_  ):

     """simple docstring"""
     UpperCAmelCase_					:					Optional[Any]			     =    order

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

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







  def        UpperCamelCase__					(		self				,   lowercase_				,   lowercase_  ):

     """simple docstring"""
     if len(lowercase_  ) < self.order:
        UpperCAmelCase_					:					str			     =    [1.0, *a_coeffs]

     if len(lowercase_  ) != self.order + 1:
        UpperCAmelCase_					:					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:
        UpperCAmelCase_					:					Any			     =    (
            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_					:					Any			     =    b_coeffs







  def        UpperCamelCase__					(		self				,   lowercase_  ):

     """simple docstring"""
     UpperCAmelCase_					:					Any			     =    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[Any]			     =    (result + self.b_coeffs[0] * sample) / self.a_coeffs[0]

     UpperCAmelCase_					:					Union[str, Any]			     =    self.input_history[:-1]
     UpperCAmelCase_					:					Dict			     =    self.output_history[:-1]

     UpperCAmelCase_					:					Optional[Any]			     =    sample
     UpperCAmelCase_					:					Union[str, Any]			     =    result

     return result




# this script reports modified .py files under the desired list of top-level sub-dirs passed as a list of arguments, e.g.:
#   python ./utils/get_modified_files.py utils src tests examples
#
# it uses git to find the forking point and which files were modified - i.e. files not under git won't be considered
# since the output of this script is fed into Makefile commands it doesn't print a newline after the results

import re
import subprocess
import sys


__lowerCAmelCase			:     int           =   subprocess.check_output('git merge-base main HEAD'.split()).decode('utf-8')
__lowerCAmelCase			:     Any           =   (
    subprocess.check_output(F'''git diff --diff-filter=d --name-only {fork_point_sha}'''.split()).decode('utf-8').split()
)

__lowerCAmelCase			:     str           =   '|'.join(sys.argv[1:])
__lowerCAmelCase			:     Tuple           =   re.compile(RF'''^({joined_dirs}).*?\.py$''')

__lowerCAmelCase			:     Union[str, Any]           =   [x for x in modified_files if regex.match(x)]
print(' '.join(relevant_modified_files), end='')

