






"""simple docstring"""


from __future__ import annotations

from math import pi
from typing import Protocol

import matplotlib.pyplot as plt
import numpy as np






class 						snake_case  (  UpperCAmelCase	):





    def     lowerCamelCase__				(							self     : Union[str, Any]    ,		A     : float      ):


      '''simple docstring'''




      return 0.0




def       snake_case  (A_				:np.ndarray     ,      A_				:int				):







  '''simple docstring'''

  a					:      Any    =       min([-2_0, np.min(fft_results[1 : samplerate // 2 - 1]				)]				)
  a					:      Optional[int]    =       max([2_0, np.max(fft_results[1 : samplerate // 2 - 1]				)]				)
  return lowest, highest




def       snake_case  (A_				:FilterType     ,      A_				:int				):







  '''simple docstring'''

  a					:      List[Any]    =       5_1_2
  a					:      Any    =       [1] + [0] * (size - 1)
  a					:      int    =       [filter_type.process(A_				) for item in inputs]

  a					:      Dict    =       [0] * (samplerate - size)  # zero-padding
  outputs += filler
  a					:      List[str]    =       np.abs(np.fft.fft(A_				)				)
  a					:      Optional[int]    =       2_0 * np.logaa(A_				)

  # Frequencies on log scale from 24 to nyquist frequency
  plt.xlim(2_4     ,      samplerate / 2 - 1				)
  plt.xlabel('Frequency (Hz)'				)
  plt.xscale('log'				)

  # Display within reasonable bounds
  a					:      List[Any]    =       get_bounds(A_     ,      A_				)
  plt.ylim(max([-8_0, bounds[0]]				)     ,      min([8_0, bounds[1]]				)				)
  plt.ylabel('Gain (dB)'				)

  plt.plot(A_				)
  plt.show()






def       snake_case  (A_				:FilterType     ,      A_				:int				):







  '''simple docstring'''

  a					:      Any    =       5_1_2
  a					:      Tuple    =       [1] + [0] * (size - 1)
  a					:      List[Any]    =       [filter_type.process(A_				) for item in inputs]

  a					:      int    =       [0] * (samplerate - size)  # zero-padding
  outputs += filler
  a					:      Union[str, Any]    =       np.angle(np.fft.fft(A_				)				)

  # Frequencies on log scale from 24 to nyquist frequency
  plt.xlim(2_4     ,      samplerate / 2 - 1				)
  plt.xlabel('Frequency (Hz)'				)
  plt.xscale('log'				)

  plt.ylim(-2 * pi     ,      2 * pi				)
  plt.ylabel('Phase shift (Radians)'				)
  plt.plot(np.unwrap(A_     ,      -2 * pi				)				)
  plt.show()












"""simple docstring"""


def       snake_case  (A_				:str     ,      A_				:bool = False				):







  '''simple docstring'''

  if not isinstance(A_     ,      A_				):
    a					:      Union[str, Any]    =       f'''Expected string as input, found {type(A_				)}'''
    raise ValueError(A_				)
  if not isinstance(A_     ,      A_				):
    a					:      Optional[int]    =       f'''Expected boolean as use_pascal parameter, found {type(A_				)}'''
    raise ValueError(A_				)

  a					:      Tuple    =       input_str.split('_'				)

  a					:      Dict    =       0 if use_pascal else 1

  a					:      int    =       words[start_index:]

  a					:      int    =       [word[0].upper() + word[1:] for word in words_to_capitalize]

  a					:      List[str]    =       '' if use_pascal else words[0]

  return "".join([initial_word, *capitalized_words]				)


if __name__ == "__main__":
   from doctest import testmod

   testmod()




