



'''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_							(					snake_case_			):







						def 					__lowercase    (  self   :      Any				,    lowerCAmelCase__   :      float				):

													"""simple docstring"""
													return 0.0


def      UpperCAmelCase   (						A  :				np.ndarray					,		A  :				int				):
							SCREAMING_SNAKE_CASE					:      Union[str, Any]     					=			min([-20, np.min(fft_results[1 : samplerate // 2 - 1]				)]				)
							SCREAMING_SNAKE_CASE					:      Tuple     					=			max([20, np.max(fft_results[1 : samplerate // 2 - 1]				)]				)
							return lowest, highest
def      UpperCAmelCase   (						A  :				FilterType					,		A  :				int				):
							SCREAMING_SNAKE_CASE					:      List[Any]     					=			512
							SCREAMING_SNAKE_CASE					:      Optional[Any]     					=			[1] + [0] * (size - 1)
							SCREAMING_SNAKE_CASE					:      str     					=			[filter_type.process(A				) for item in inputs]

							SCREAMING_SNAKE_CASE					:      Dict     					=			[0] * (samplerate - size)  # zero-padding
							outputs += filler
							SCREAMING_SNAKE_CASE					:      Tuple     					=			np.abs(np.fft.fft(A				)				)
							SCREAMING_SNAKE_CASE					:      Optional[Any]     					=			20 * np.logaa(A				)

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

							plt.plot(A				)
							plt.show()






def      UpperCAmelCase   (						A  :				FilterType					,		A  :				int				):
							SCREAMING_SNAKE_CASE					:      Optional[Any]     					=			512
							SCREAMING_SNAKE_CASE					:      Optional[Any]     					=			[1] + [0] * (size - 1)
							SCREAMING_SNAKE_CASE					:      List[str]     					=			[filter_type.process(A				) for item in inputs]

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

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









'''simple docstring'''



import string
from math import logaa
def 					UpperCAmelCase   (						A  :				str					,		A  :				str				):
							SCREAMING_SNAKE_CASE					:      Optional[Any]     					=			document.translate(
							    str.maketrans(''''''					,		''''''					,		string.punctuation				)				).replace('''\n'''					,		''''''				)
							SCREAMING_SNAKE_CASE					:      Tuple     					=			document_without_punctuation.split(''' '''				)  # word tokenization
							return len([word for word in tokenize_document if word.lower() == term.lower()]				)
def 					UpperCAmelCase   (						A  :				str					,		A  :				str				):
							SCREAMING_SNAKE_CASE					:      int     					=			corpus.lower().translate(
							    str.maketrans(''''''					,		''''''					,		string.punctuation				)				)  # strip all punctuation and replace it with ''
							SCREAMING_SNAKE_CASE					:      Any     					=			corpus_without_punctuation.split('''\n'''				)
							SCREAMING_SNAKE_CASE					:      Optional[Any]     					=			term.lower()
							return (len([doc for doc in docs if term in doc]				), len(A				))
def 					UpperCAmelCase   (						A  :				int					,		A  :				int					,		A  :				str=False				):
							if smoothing:
														if n == 0:
																					raise ValueError('''log10(0) is undefined.'''				)
														return round(1 + logaa(n / (1 + df)				)					,		3				)

							if df == 0:
														raise ZeroDivisionError('''df must be > 0'''				)
							elif n == 0:
														raise ValueError('''log10(0) is undefined.'''				)
							return round(logaa(n / df				)					,		3				)






def 					UpperCAmelCase   (						A  :				int					,		A  :				int				):
							return round(tf * idf					,		3				)




