






'''simple docstring'''

from math import cos, sin, sqrt, tau

from audio_filters.iir_filter import IIRFilter






def 	_UpperCAmelCase    (  a		:	int						,			a		:	int						,			a		:	float = 1 / sqrt(2							)							)			->			IIRFilter:





						"""simple docstring"""
						lowercase_      :   str        =			tau * frequency / samplerate
						lowercase_      :   Tuple        =			sin(a							)
						lowercase_      :   List[str]        =			cos(a							)
						lowercase_      :   str        =			_sin / (2 * q_factor)

						lowercase_      :   Tuple        =			(1 - _cos) / 2
						lowercase_      :   Any        =			1 - _cos

						lowercase_      :   List[Any]        =			1 + alpha
						lowercase_      :   Optional[Any]        =			-2 * _cos
						lowercase_      :   List[str]        =			1 - alpha

						lowercase_      :   Any        =			IIRFilter(2							)
						filt.set_coefficients([aa, aa, aa]						,			[ba, ba, ba]							)
						return filt






def 	_UpperCAmelCase    (  a		:	int						,			a		:	int						,			a		:	float = 1 / sqrt(2							)							)			->			IIRFilter:





						"""simple docstring"""
						lowercase_      :   List[str]        =			tau * frequency / samplerate
						lowercase_      :   Optional[int]        =			sin(a							)
						lowercase_      :   Dict        =			cos(a							)
						lowercase_      :   List[str]        =			_sin / (2 * q_factor)

						lowercase_      :   Any        =			(1 + _cos) / 2
						lowercase_      :   Any        =			-1 - _cos

						lowercase_      :   int        =			1 + alpha
						lowercase_      :   Dict        =			-2 * _cos
						lowercase_      :   Dict        =			1 - alpha

						lowercase_      :   Union[str, Any]        =			IIRFilter(2							)
						filt.set_coefficients([aa, aa, aa]						,			[ba, ba, ba]							)
						return filt






def 	_UpperCAmelCase    (  a		:	int						,			a		:	int						,			a		:	float = 1 / sqrt(2							)							)			->			IIRFilter:





						"""simple docstring"""
						lowercase_      :   Optional[Any]        =			tau * frequency / samplerate
						lowercase_      :   List[Any]        =			sin(a							)
						lowercase_      :   Any        =			cos(a							)
						lowercase_      :   List[str]        =			_sin / (2 * q_factor)

						lowercase_      :   List[Any]        =			_sin / 2
						lowercase_      :   Optional[int]        =			0
						lowercase_      :   Dict        =			-ba

						lowercase_      :   Optional[Any]        =			1 + alpha
						lowercase_      :   Dict        =			-2 * _cos
						lowercase_      :   str        =			1 - alpha

						lowercase_      :   str        =			IIRFilter(2							)
						filt.set_coefficients([aa, aa, aa]						,			[ba, ba, ba]							)
						return filt






def 	_UpperCAmelCase    (  a		:	int						,			a		:	int						,			a		:	float = 1 / sqrt(2							)							)			->			IIRFilter:





						"""simple docstring"""
						lowercase_      :   Dict        =			tau * frequency / samplerate
						lowercase_      :   Optional[int]        =			sin(a							)
						lowercase_      :   Union[str, Any]        =			cos(a							)
						lowercase_      :   List[Any]        =			_sin / (2 * q_factor)

						lowercase_      :   int        =			1 - alpha
						lowercase_      :   Dict        =			-2 * _cos
						lowercase_      :   List[Any]        =			1 + alpha

						lowercase_      :   Optional[Any]        =			IIRFilter(2							)
						filt.set_coefficients([ba, ba, ba]						,			[ba, ba, ba]							)
						return filt






def 	_UpperCAmelCase    (  a		:	int						,			a		:	int						,			a		:	float						,			a		:	float = 1 / sqrt(2							)						,			)			->			IIRFilter:





						"""simple docstring"""
						lowercase_      :   Dict        =			tau * frequency / samplerate
						lowercase_      :   Optional[Any]        =			sin(a							)
						lowercase_      :   Any        =			cos(a							)
						lowercase_      :   str        =			_sin / (2 * q_factor)
						lowercase_      :   List[str]        =			1_0 ** (gain_db / 4_0)

						lowercase_      :   List[Any]        =			1 + alpha * big_a
						lowercase_      :   Tuple        =			-2 * _cos
						lowercase_      :   Any        =			1 - alpha * big_a
						lowercase_      :   Dict        =			1 + alpha / big_a
						lowercase_      :   Optional[int]        =			-2 * _cos
						lowercase_      :   Optional[int]        =			1 - alpha / big_a

						lowercase_      :   str        =			IIRFilter(2							)
						filt.set_coefficients([aa, aa, aa]						,			[ba, ba, ba]							)
						return filt






def 	_UpperCAmelCase    (  a		:	int						,			a		:	int						,			a		:	float						,			a		:	float = 1 / sqrt(2							)						,			)			->			IIRFilter:





						"""simple docstring"""
						lowercase_      :   Tuple        =			tau * frequency / samplerate
						lowercase_      :   Union[str, Any]        =			sin(a							)
						lowercase_      :   Any        =			cos(a							)
						lowercase_      :   Optional[int]        =			_sin / (2 * q_factor)
						lowercase_      :   str        =			1_0 ** (gain_db / 4_0)
						lowercase_      :   str        =			(big_a + 1) - (big_a - 1) * _cos
						lowercase_      :   Any        =			(big_a + 1) + (big_a - 1) * _cos
						lowercase_      :   List[str]        =			(big_a - 1) - (big_a + 1) * _cos
						lowercase_      :   Any        =			(big_a - 1) + (big_a + 1) * _cos
						lowercase_      :   List[str]        =			2 * sqrt(a							) * alpha

						lowercase_      :   Optional[Any]        =			big_a * (pmc + aaa)
						lowercase_      :   Dict        =			2 * big_a * mpc
						lowercase_      :   List[str]        =			big_a * (pmc - aaa)
						lowercase_      :   Optional[int]        =			ppmc + aaa
						lowercase_      :   List[str]        =			-2 * pmpc
						lowercase_      :   List[Any]        =			ppmc - aaa

						lowercase_      :   List[Any]        =			IIRFilter(2							)
						filt.set_coefficients([aa, aa, aa]						,			[ba, ba, ba]							)
						return filt






def 	_UpperCAmelCase    (  a		:	int						,			a		:	int						,			a		:	float						,			a		:	float = 1 / sqrt(2							)						,			)			->			IIRFilter:





						"""simple docstring"""
						lowercase_      :   str        =			tau * frequency / samplerate
						lowercase_      :   str        =			sin(a							)
						lowercase_      :   Tuple        =			cos(a							)
						lowercase_      :   Tuple        =			_sin / (2 * q_factor)
						lowercase_      :   int        =			1_0 ** (gain_db / 4_0)
						lowercase_      :   Tuple        =			(big_a + 1) - (big_a - 1) * _cos
						lowercase_      :   str        =			(big_a + 1) + (big_a - 1) * _cos
						lowercase_      :   Optional[Any]        =			(big_a - 1) - (big_a + 1) * _cos
						lowercase_      :   str        =			(big_a - 1) + (big_a + 1) * _cos
						lowercase_      :   Tuple        =			2 * sqrt(a							) * alpha

						lowercase_      :   List[str]        =			big_a * (ppmc + aaa)
						lowercase_      :   Optional[Any]        =			-2 * big_a * pmpc
						lowercase_      :   Union[str, Any]        =			big_a * (ppmc - aaa)
						lowercase_      :   Optional[int]        =			pmc + aaa
						lowercase_      :   Any        =			2 * mpc
						lowercase_      :   Optional[int]        =			pmc - aaa

						lowercase_      :   List[Any]        =			IIRFilter(2							)
						filt.set_coefficients([aa, aa, aa]						,			[ba, ba, ba]							)
						return filt








'''simple docstring'''

class 							__magic_name__     :







	"""simple docstring"""



	def __init__(							self  ,      _lowercase       )						->  Union[str, Any]:
							lowercase_      :   Dict        =			n
							lowercase_      :   Dict        =			[None] * self.n
							lowercase_      :   Tuple        =			0  # index of the first element
							lowercase_      :   List[Any]        =			0
							lowercase_      :   List[Any]        =			0
	def __len__(							self       )						->  int:
							return self.size
	def        lowerCamelCase__		(							self       )						->  bool:
							return self.size == 0
	def        lowerCamelCase__		(							self       )						->  List[Any]:
							return False if self.is_empty() else self.array[self.front]
	def        lowerCamelCase__		(							self  ,      _lowercase       )						->  Any:
							if self.size >= self.n:
													raise Exception('QUEUE IS FULL'       )

							lowercase_      :   Tuple        =			data
							lowercase_      :   List[Any]        =			(self.rear + 1) % self.n
							self.size += 1
							return self







	def        lowerCamelCase__		(							self       )						->  Any:
							if self.size == 0:
													raise Exception('UNDERFLOW'       )

							lowercase_      :   Dict        =			self.array[self.front]
							lowercase_      :   Tuple        =			None
							lowercase_      :   int        =			(self.front + 1) % self.n
							self.size -= 1
							return temp
