





from math import cos, sin, sqrt, tau

from audio_filters.iir_filter import IIRFilter




def    _lowerCAmelCase						(				lowerCamelCase_			:  int		,       lowerCamelCase_			:  int		,       lowerCamelCase_			:  float = 1 / sqrt(2				)				):
			__lowercase										=							tau * frequency / samplerate
			__lowercase										=							sin(lowerCamelCase_				)
			__lowercase										=							cos(lowerCamelCase_				)
			__lowercase										=							_sin / (2 * q_factor)

			__lowercase										=							(1 - _cos) / 2
			__lowercase										=							1 - _cos

			__lowercase										=							1 + alpha
			__lowercase										=							-2 * _cos
			__lowercase										=							1 - alpha

			__lowercase										=							IIRFilter(2				)
			filt.set_coefficients([aa, aa, aa]		,       [ba, ba, ba]				)
			return filt




def    _lowerCAmelCase						(				lowerCamelCase_			:  int		,       lowerCamelCase_			:  int		,       lowerCamelCase_			:  float = 1 / sqrt(2				)				):
			__lowercase										=							tau * frequency / samplerate
			__lowercase										=							sin(lowerCamelCase_				)
			__lowercase										=							cos(lowerCamelCase_				)
			__lowercase										=							_sin / (2 * q_factor)

			__lowercase										=							(1 + _cos) / 2
			__lowercase										=							-1 - _cos

			__lowercase										=							1 + alpha
			__lowercase										=							-2 * _cos
			__lowercase										=							1 - alpha

			__lowercase										=							IIRFilter(2				)
			filt.set_coefficients([aa, aa, aa]		,       [ba, ba, ba]				)
			return filt




def    _lowerCAmelCase						(				lowerCamelCase_			:  int		,       lowerCamelCase_			:  int		,       lowerCamelCase_			:  float = 1 / sqrt(2				)				):
			__lowercase										=							tau * frequency / samplerate
			__lowercase										=							sin(lowerCamelCase_				)
			__lowercase										=							cos(lowerCamelCase_				)
			__lowercase										=							_sin / (2 * q_factor)

			__lowercase										=							_sin / 2
			__lowercase										=							0
			__lowercase										=							-ba

			__lowercase										=							1 + alpha
			__lowercase										=							-2 * _cos
			__lowercase										=							1 - alpha

			__lowercase										=							IIRFilter(2				)
			filt.set_coefficients([aa, aa, aa]		,       [ba, ba, ba]				)
			return filt




def    _lowerCAmelCase						(				lowerCamelCase_			:  int		,       lowerCamelCase_			:  int		,       lowerCamelCase_			:  float = 1 / sqrt(2				)				):
			__lowercase										=							tau * frequency / samplerate
			__lowercase										=							sin(lowerCamelCase_				)
			__lowercase										=							cos(lowerCamelCase_				)
			__lowercase										=							_sin / (2 * q_factor)

			__lowercase										=							1 - alpha
			__lowercase										=							-2 * _cos
			__lowercase										=							1 + alpha

			__lowercase										=							IIRFilter(2				)
			filt.set_coefficients([ba, ba, ba]		,       [ba, ba, ba]				)
			return filt




def    _lowerCAmelCase						(				lowerCamelCase_			:  int		,       lowerCamelCase_			:  int		,       lowerCamelCase_			:  float		,       lowerCamelCase_			:  float = 1 / sqrt(2				)		,       ):
			__lowercase										=							tau * frequency / samplerate
			__lowercase										=							sin(lowerCamelCase_				)
			__lowercase										=							cos(lowerCamelCase_				)
			__lowercase										=							_sin / (2 * q_factor)
			__lowercase										=							1_0 ** (gain_db / 4_0)

			__lowercase										=							1 + alpha * big_a
			__lowercase										=							-2 * _cos
			__lowercase										=							1 - alpha * big_a
			__lowercase										=							1 + alpha / big_a
			__lowercase										=							-2 * _cos
			__lowercase										=							1 - alpha / big_a

			__lowercase										=							IIRFilter(2				)
			filt.set_coefficients([aa, aa, aa]		,       [ba, ba, ba]				)
			return filt




def    _lowerCAmelCase						(				lowerCamelCase_			:  int		,       lowerCamelCase_			:  int		,       lowerCamelCase_			:  float		,       lowerCamelCase_			:  float = 1 / sqrt(2				)		,       ):
			__lowercase										=							tau * frequency / samplerate
			__lowercase										=							sin(lowerCamelCase_				)
			__lowercase										=							cos(lowerCamelCase_				)
			__lowercase										=							_sin / (2 * q_factor)
			__lowercase										=							1_0 ** (gain_db / 4_0)
			__lowercase										=							(big_a + 1) - (big_a - 1) * _cos
			__lowercase										=							(big_a + 1) + (big_a - 1) * _cos
			__lowercase										=							(big_a - 1) - (big_a + 1) * _cos
			__lowercase										=							(big_a - 1) + (big_a + 1) * _cos
			__lowercase										=							2 * sqrt(lowerCamelCase_				) * alpha

			__lowercase										=							big_a * (pmc + aaa)
			__lowercase										=							2 * big_a * mpc
			__lowercase										=							big_a * (pmc - aaa)
			__lowercase										=							ppmc + aaa
			__lowercase										=							-2 * pmpc
			__lowercase										=							ppmc - aaa

			__lowercase										=							IIRFilter(2				)
			filt.set_coefficients([aa, aa, aa]		,       [ba, ba, ba]				)
			return filt




def    _lowerCAmelCase						(				lowerCamelCase_			:  int		,       lowerCamelCase_			:  int		,       lowerCamelCase_			:  float		,       lowerCamelCase_			:  float = 1 / sqrt(2				)		,       ):
			__lowercase										=							tau * frequency / samplerate
			__lowercase										=							sin(lowerCamelCase_				)
			__lowercase										=							cos(lowerCamelCase_				)
			__lowercase										=							_sin / (2 * q_factor)
			__lowercase										=							1_0 ** (gain_db / 4_0)
			__lowercase										=							(big_a + 1) - (big_a - 1) * _cos
			__lowercase										=							(big_a + 1) + (big_a - 1) * _cos
			__lowercase										=							(big_a - 1) - (big_a + 1) * _cos
			__lowercase										=							(big_a - 1) + (big_a + 1) * _cos
			__lowercase										=							2 * sqrt(lowerCamelCase_				) * alpha

			__lowercase										=							big_a * (ppmc + aaa)
			__lowercase										=							-2 * big_a * pmpc
			__lowercase										=							big_a * (ppmc - aaa)
			__lowercase										=							pmc + aaa
			__lowercase										=							2 * mpc
			__lowercase										=							pmc - aaa

			__lowercase										=							IIRFilter(2				)
			filt.set_coefficients([aa, aa, aa]		,       [ba, ba, ba]				)
			return filt












'''simple docstring'''



import math




def    _lowerCAmelCase						(				lowerCamelCase_			:  int				):
			assert isinstance(lowerCamelCase_		,       lowerCamelCase_				) and (
			    number >= 0
			), "'number' must been an int and positive"

			if 1 < number < 4:
						# 2 and 3 are primes
						return True
			elif number < 2 or not number % 2:
						# Negatives, 0, 1 and all even numbers are not primes
						return False

			__lowercase										=							range(3		,       int(math.sqrt(lowerCamelCase_				) + 1				)		,       2				)
			return not any(not number % i for i in odd_numbers				)




def    _lowerCAmelCase						(				lowerCamelCase_			:  Dict		,       lowerCamelCase_			:  Any=1		,       **lowerCamelCase_			:  Tuple				):
			__lowercase										=							factor * value
			__lowercase										=							value

			while not is_prime(lowerCamelCase_				):
						value += 1 if not ("desc" in kwargs and kwargs["desc"] is True) else -1

			if value == first_value_val:
						return next_prime(value + 1		,       **lowerCamelCase_				)
			return value





