






from math import cos, sin, sqrt, tau

from audio_filters.iir_filter import IIRFilter

def    UpperCamelCase						(	_A,   _A,   _A = 1 / sqrt(2			)			):






						"""simple docstring"""







						__magic_name__      :       Union[str, Any]       						= tau * frequency / samplerate
						__magic_name__      :       str       						= sin(_A			)
						__magic_name__      :       str       						= cos(_A			)
						__magic_name__      :       List[Any]       						= _sin / (2 * q_factor)

						__magic_name__      :       List[str]       						= (1 - _cos) / 2
						__magic_name__      :       Any       						= 1 - _cos

						__magic_name__      :       Union[str, Any]       						= 1 + alpha
						__magic_name__      :       int       						= -2 * _cos
						__magic_name__      :       Tuple       						= 1 - alpha

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

def    UpperCamelCase						(	_A,   _A,   _A = 1 / sqrt(2			)			):






						"""simple docstring"""







						__magic_name__      :       Optional[int]       						= tau * frequency / samplerate
						__magic_name__      :       List[Any]       						= sin(_A			)
						__magic_name__      :       Union[str, Any]       						= cos(_A			)
						__magic_name__      :       List[str]       						= _sin / (2 * q_factor)

						__magic_name__      :       str       						= (1 + _cos) / 2
						__magic_name__      :       Any       						= -1 - _cos

						__magic_name__      :       int       						= 1 + alpha
						__magic_name__      :       Tuple       						= -2 * _cos
						__magic_name__      :       int       						= 1 - alpha

						__magic_name__      :       Dict       						= IIRFilter(2			)
						filt.set_coefficients([aa, aa, aa],   [ba, ba, ba]			)
						return filt

def    UpperCamelCase						(	_A,   _A,   _A = 1 / sqrt(2			)			):






						"""simple docstring"""







						__magic_name__      :       Any       						= tau * frequency / samplerate
						__magic_name__      :       Tuple       						= sin(_A			)
						__magic_name__      :       Dict       						= cos(_A			)
						__magic_name__      :       Optional[Any]       						= _sin / (2 * q_factor)

						__magic_name__      :       List[Any]       						= _sin / 2
						__magic_name__      :       Any       						= 0
						__magic_name__      :       Union[str, Any]       						= -ba

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

						__magic_name__      :       Optional[int]       						= IIRFilter(2			)
						filt.set_coefficients([aa, aa, aa],   [ba, ba, ba]			)
						return filt

def    UpperCamelCase						(	_A,   _A,   _A = 1 / sqrt(2			)			):






						"""simple docstring"""







						__magic_name__      :       List[str]       						= tau * frequency / samplerate
						__magic_name__      :       Optional[Any]       						= sin(_A			)
						__magic_name__      :       Optional[Any]       						= cos(_A			)
						__magic_name__      :       List[str]       						= _sin / (2 * q_factor)

						__magic_name__      :       Union[str, Any]       						= 1 - alpha
						__magic_name__      :       Optional[int]       						= -2 * _cos
						__magic_name__      :       int       						= 1 + alpha

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

def    UpperCamelCase						(	_A,   _A,   _A,   _A = 1 / sqrt(2			),   ):






						"""simple docstring"""







						__magic_name__      :       Union[str, Any]       						= tau * frequency / samplerate
						__magic_name__      :       int       						= sin(_A			)
						__magic_name__      :       Any       						= cos(_A			)
						__magic_name__      :       str       						= _sin / (2 * q_factor)
						__magic_name__      :       Union[str, Any]       						= 10 ** (gain_db / 40)

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

						__magic_name__      :       Tuple       						= IIRFilter(2			)
						filt.set_coefficients([aa, aa, aa],   [ba, ba, ba]			)
						return filt

def    UpperCamelCase						(	_A,   _A,   _A,   _A = 1 / sqrt(2			),   ):






						"""simple docstring"""







						__magic_name__      :       Tuple       						= tau * frequency / samplerate
						__magic_name__      :       Optional[Any]       						= sin(_A			)
						__magic_name__      :       Any       						= cos(_A			)
						__magic_name__      :       List[Any]       						= _sin / (2 * q_factor)
						__magic_name__      :       Optional[int]       						= 10 ** (gain_db / 40)
						__magic_name__      :       List[str]       						= (big_a + 1) - (big_a - 1) * _cos
						__magic_name__      :       Optional[Any]       						= (big_a + 1) + (big_a - 1) * _cos
						__magic_name__      :       Dict       						= (big_a - 1) - (big_a + 1) * _cos
						__magic_name__      :       Optional[Any]       						= (big_a - 1) + (big_a + 1) * _cos
						__magic_name__      :       List[str]       						= 2 * sqrt(_A			) * alpha

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

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

def    UpperCamelCase						(	_A,   _A,   _A,   _A = 1 / sqrt(2			),   ):






						"""simple docstring"""







						__magic_name__      :       List[Any]       						= tau * frequency / samplerate
						__magic_name__      :       Union[str, Any]       						= sin(_A			)
						__magic_name__      :       Optional[Any]       						= cos(_A			)
						__magic_name__      :       Union[str, Any]       						= _sin / (2 * q_factor)
						__magic_name__      :       Dict       						= 10 ** (gain_db / 40)
						__magic_name__      :       List[Any]       						= (big_a + 1) - (big_a - 1) * _cos
						__magic_name__      :       Dict       						= (big_a + 1) + (big_a - 1) * _cos
						__magic_name__      :       List[str]       						= (big_a - 1) - (big_a + 1) * _cos
						__magic_name__      :       Any       						= (big_a - 1) + (big_a + 1) * _cos
						__magic_name__      :       str       						= 2 * sqrt(_A			) * alpha

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

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








def    UpperCamelCase						(	_A = 1,   _A = 1000			):






						"""simple docstring"""







						__magic_name__      :       Optional[int]       						= 1
						__magic_name__      :       Dict       						= 0

						for divide_by_number in range(_A,   digit + 1			):
												__magic_name__      :       list[int]       						= []
												__magic_name__      :       Any       						= numerator
												for _ in range(1,   digit + 1			):
																		if now_divide in has_been_divided:
																								if longest_list_length < len(_A			):
																														__magic_name__      :       int       						= len(_A			)
																														__magic_name__      :       Dict       						= divide_by_number
																		else:
																								has_been_divided.append(_A			)
																								__magic_name__      :       Optional[int]       						= now_divide * 10 % divide_by_number

						return the_digit


# Tests
if __name__ == "__main__":
		import doctest

		doctest.testmod()
