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

from math import pi
from typing import Protocol

import matplotlib.pyplot as plt
import numpy as np







class lowerCamelCase							(	lowerCamelCase					):




  '''simple docstring'''



  def  lowerCAmelCase__ (      self			:       Union[str, Any]  ,							UpperCAmelCase__			:       float  )				->float:
        return 0.0






def  __lowerCamelCase       (      _UpperCamelCase  :  np.ndarray							,    _UpperCamelCase  :  int					):


      '''simple docstring'''


      UpperCAmelCase_            =  min([-20, np.min(fft_results[1 : samplerate // 2 - 1]					)]					)
      UpperCAmelCase_            =  max([20, np.max(fft_results[1 : samplerate // 2 - 1]					)]					)
      return lowest, highest



def  __lowerCamelCase       (      _UpperCamelCase  :  FilterType							,    _UpperCamelCase  :  int					):


      '''simple docstring'''


      UpperCAmelCase_            =  512
      UpperCAmelCase_            =  [1] + [0] * (size - 1)
      UpperCAmelCase_            =  [filter_type.process(_UpperCamelCase					) for item in inputs]

      UpperCAmelCase_            =  [0] * (samplerate - size)  # zero-padding
      outputs += filler
      UpperCAmelCase_            =  np.abs(np.fft.fft(_UpperCamelCase					)					)
      UpperCAmelCase_            =  20 * np.logaa(_UpperCamelCase					)

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

      # Display within reasonable bounds
      UpperCAmelCase_            =  get_bounds(_UpperCamelCase							,    _UpperCamelCase					)
      plt.ylim(max([-80, bounds[0]]					)							,    min([80, bounds[1]]					)					)
      plt.ylabel('''Gain (dB)'''					)

      plt.plot(_UpperCamelCase					)
      plt.show()





def  __lowerCamelCase       (      _UpperCamelCase  :  FilterType							,    _UpperCamelCase  :  int					):


      '''simple docstring'''


      UpperCAmelCase_            =  512
      UpperCAmelCase_            =  [1] + [0] * (size - 1)
      UpperCAmelCase_            =  [filter_type.process(_UpperCamelCase					) for item in inputs]

      UpperCAmelCase_            =  [0] * (samplerate - size)  # zero-padding
      outputs += filler
      UpperCAmelCase_            =  np.angle(np.fft.fft(_UpperCamelCase					)					)

      # Frequencies on log scale from 24 to nyquist frequency
      plt.xlim(24							,    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(_UpperCamelCase							,    -2 * pi					)					)
      plt.show()



'''simple docstring'''
def  __lowerCamelCase       (      _UpperCamelCase  :  str							,    _UpperCamelCase  :  list[str]					):


      '''simple docstring'''


      UpperCAmelCase_            =  ''''''
      for word_or_phrase in separated:
            if not isinstance(_UpperCamelCase							,    _UpperCamelCase					):
                  raise Exception('''join() accepts only strings to be joined'''					)
            joined += word_or_phrase + separator
      return joined.strip(_UpperCamelCase					)


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

      testmod()





