


"""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 			__UpperCAmelCase       (  self							, _a      ):
				return 0.0







def        lowercase							(		lowerCAmelCase__ :     Optional[Any]    ,					lowerCAmelCase__ :     Optional[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        lowercase							(		lowerCAmelCase__ :     Union[str, Any]    ,					lowerCAmelCase__ :     Union[str, Any]			) ->      None:
		__a           =			512
		__a           =			[1] + [0] * (size - 1)
		__a           =			[filter_type.process(__UpperCAmelCase			) for item in inputs]

		__a           =			[0] * (samplerate - size)  # zero-padding
		outputs += filler
		__a           =			np.abs(np.fft.fft(__UpperCAmelCase			)			)
		__a           =			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
		__a           =			get_bounds(__UpperCAmelCase    ,					__UpperCAmelCase			)
		plt.ylim(max([-80, bounds[0]]			)    ,					min([80, bounds[1]]			)			)
		plt.ylabel('''Gain (dB)'''			)

		plt.plot(__UpperCAmelCase			)
		plt.show()




def        lowercase							(		lowerCAmelCase__ :     str    ,					lowerCAmelCase__ :     Any			) ->      None:
		__a           =			512
		__a           =			[1] + [0] * (size - 1)
		__a           =			[filter_type.process(__UpperCAmelCase			) for item in inputs]

		__a           =			[0] * (samplerate - size)  # zero-padding
		outputs += filler
		__a           =			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'''

import math
from collections.abc import Callable


def 		__magic_name__    (	__UpperCAmelCase,      __UpperCAmelCase,      __UpperCAmelCase	)		->					float:

					'''simple docstring'''

					snake_case_									=				xa
					snake_case_									=				xa
					while True:
										if x_n == x_na or function(__UpperCAmelCase	) == function(__UpperCAmelCase	):
															raise ZeroDivisionError('''float division by zero, could not find root'''	)
										snake_case_									=				x_na - (
										    function(__UpperCAmelCase	) / ((function(__UpperCAmelCase	) - function(__UpperCAmelCase	)) / (x_na - x_n))
										)
										if abs(x_na - x_na	) < 10**-5:
															return x_na
										snake_case_									=				x_na
										snake_case_									=				x_na


def 		__magic_name__    (	__UpperCAmelCase	)		->					float:

					'''simple docstring'''

					return math.pow(__UpperCAmelCase,      3	) - (2 * x) - 5


if __name__ == "__main__":
							print(intersection(f, 3, 3.5))

