





'''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					(						__UpperCAmelCase  ):


					def    SCREAMING_SNAKE_CASE_		(					self	:  int       ,     __snake_case	:  float       ):





											'''simple docstring'''





											return 0.0





def       lowercase_      (		lowercase__				,  lowercase__						)   ->tuple[int | float, int | float]:
						_snake_case:   str  					=		min([-20, np.min(fft_results[1 : samplerate // 2 - 1]						)]						)
						_snake_case:   List[str]  					=		max([20, np.max(fft_results[1 : samplerate // 2 - 1]						)]						)
						return lowest, highest





def       lowercase_      (		lowercase__				,  lowercase__						)   ->None:
						_snake_case:   str  					=		512
						_snake_case:   Dict  					=		[1] + [0] * (size - 1)
						_snake_case:   str  					=		[filter_type.process(lowercase__						) for item in inputs]

						_snake_case:   str  					=		[0] * (samplerate - size)  # zero-padding
						outputs += filler
						_snake_case:   Optional[Any]  					=		np.abs(np.fft.fft(lowercase__						)						)
						_snake_case:   Optional[Any]  					=		20 * np.logaa(lowercase__						)

						# 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
						_snake_case:   int  					=		get_bounds(lowercase__				,  lowercase__						)
						plt.ylim(max([-80, bounds[0]]						)				,  min([80, bounds[1]]						)						)
						plt.ylabel('Gain (dB)'						)

						plt.plot(lowercase__						)
						plt.show()





def       lowercase_      (		lowercase__				,  lowercase__						)   ->None:
						_snake_case:   int  					=		512
						_snake_case:   int  					=		[1] + [0] * (size - 1)
						_snake_case:   Optional[int]  					=		[filter_type.process(lowercase__						) for item in inputs]

						_snake_case:   List[Any]  					=		[0] * (samplerate - size)  # zero-padding
						outputs += filler
						_snake_case:   Any  					=		np.angle(np.fft.fft(lowercase__						)						)

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












'''simple docstring'''






A   : str             =			{
    'a': 'AAAAA',
    'b': 'AAAAB',
    'c': 'AAABA',
    'd': 'AAABB',
    'e': 'AABAA',
    'f': 'AABAB',
    'g': 'AABBA',
    'h': 'AABBB',
    'i': 'ABAAA',
    'j': 'BBBAA',
    'k': 'ABAAB',
    'l': 'ABABA',
    'm': 'ABABB',
    'n': 'ABBAA',
    'o': 'ABBAB',
    'p': 'ABBBA',
    'q': 'ABBBB',
    'r': 'BAAAA',
    's': 'BAAAB',
    't': 'BAABA',
    'u': 'BAABB',
    'v': 'BBBAB',
    'w': 'BABAA',
    'x': 'BABAB',
    'y': 'BABBA',
    'z': 'BABBB',
    ' ': ' ',
}


A   : Union[str, Any]             =			{value: key for key, value in encode_dict.items()}





def       lowercase_      (		lowercase__						)   ->str:
						_snake_case:   Union[str, Any]  					=		''
						for letter in word.lower():
												if letter.isalpha() or letter == " ":
																		encoded += encode_dict[letter]
												else:
																		raise Exception('encode() accepts only letters of the alphabet and spaces'						)
						return encoded





def       lowercase_      (		lowercase__						)   ->str:
						if set(lowercase__						) - {"A", "B", " "} != set():
												raise Exception('decode() accepts only \'A\', \'B\' and spaces'						)
						_snake_case:   List[Any]  					=		''
						for word in coded.split():
												while len(lowercase__						) != 0:
																		decoded += decode_dict[word[:5]]
																		_snake_case:   Optional[int]  					=		word[5:]
												decoded += " "
						return decoded.strip()


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

		testmod()





