from __future__ import annotations

from math import pi
from typing import Protocol

import matplotlib.pyplot as plt
import numpy as np



class 				a							(			__lowerCAmelCase       ):







 """simple docstring"""






 def      UpperCAmelCase							(					self		,				lowerCAmelCase_							)  ->					float:
        return 0.0






def  snake_case  (       snake_case__			:np.ndarray   ,	snake_case__			:int)						->   tuple[int | float, int | float]:
       _A        =  min([-20, np.min(fft_results[1 : samplerate // 2 - 1])])
       _A        =  max([20, np.max(fft_results[1 : samplerate // 2 - 1])])
       return lowest, highest






def  snake_case  (       snake_case__			:FilterType   ,	snake_case__			:int)						->   None:
       _A        =  512
       _A        =  [1] + [0] * (size - 1)
       _A        =  [filter_type.process(snake_case__) for item in inputs]

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

       # 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
       _A        =  get_bounds(snake_case__   ,	snake_case__)
       plt.ylim(max([-80, bounds[0]])   ,	min([80, bounds[1]]))
       plt.ylabel("""Gain (dB)""")

       plt.plot(snake_case__)
       plt.show()







def  snake_case  (       snake_case__			:FilterType   ,	snake_case__			:int)						->   None:
       _A        =  512
       _A        =  [1] + [0] * (size - 1)
       _A        =  [filter_type.process(snake_case__) for item in inputs]

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

       # 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(snake_case__   ,	-2 * pi))
       plt.show()





def  snake_case  (       snake_case__			:str = "The quick brown fox jumps over the lazy dog"   ,	)						->   bool:
       _A        =  set()

       # Replace all the whitespace in our sentence
       _A        =  input_str.replace(""" """   ,	"""""")
       for alpha in input_str:
              if "a" <= alpha.lower() <= "z":
                     frequency.add(alpha.lower())
       return len(snake_case__) == 26






def  snake_case  (       snake_case__			:str = "The quick brown fox jumps over the lazy dog"   ,	)						->   bool:
       _A        =  [False] * 26
       for char in input_str:
              if char.islower():
                     _A        =  True
              elif char.isupper():
                     _A        =  True
       return all(snake_case__)






def  snake_case  (       snake_case__			:str = "The quick brown fox jumps over the lazy dog"   ,	)						->   bool:
       return len({char for char in input_str.lower() if char.isalpha()}) == 26






def  snake_case  (       )						->   None:
       from timeit import timeit

       _A        =  """from __main__ import is_pangram, is_pangram_faster, is_pangram_fastest"""
       print(timeit("""is_pangram()"""   ,	setup=snake_case__))
       print(timeit("""is_pangram_faster()"""   ,	setup=snake_case__))
       print(timeit("""is_pangram_fastest()"""   ,	setup=snake_case__))
       # 5.348480500048026, 2.6477354579837993, 1.8470395830227062
       # 5.036091582966037, 2.644472333951853,  1.8869528750656173


if __name__ == "__main__":
    import doctest

    doctest.testmod()
    benchmark()




