




from math import cos, sin, sqrt, tau

from audio_filters.iir_filter import IIRFilter







def 	_a      (						SCREAMING_SNAKE_CASE_							:				int      ,      SCREAMING_SNAKE_CASE_							:				int      ,      SCREAMING_SNAKE_CASE_							:				float = 1 / sqrt(2     )     ):
					__lowerCAmelCase				   =       tau * frequency / samplerate
					__lowerCAmelCase				   =       sin(SCREAMING_SNAKE_CASE_     )
					__lowerCAmelCase				   =       cos(SCREAMING_SNAKE_CASE_     )
					__lowerCAmelCase				   =       _sin / (2 * q_factor)

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

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

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







def 	_a      (						SCREAMING_SNAKE_CASE_							:				int      ,      SCREAMING_SNAKE_CASE_							:				int      ,      SCREAMING_SNAKE_CASE_							:				float = 1 / sqrt(2     )     ):
					__lowerCAmelCase				   =       tau * frequency / samplerate
					__lowerCAmelCase				   =       sin(SCREAMING_SNAKE_CASE_     )
					__lowerCAmelCase				   =       cos(SCREAMING_SNAKE_CASE_     )
					__lowerCAmelCase				   =       _sin / (2 * q_factor)

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

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

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







def 	_a      (						SCREAMING_SNAKE_CASE_							:				int      ,      SCREAMING_SNAKE_CASE_							:				int      ,      SCREAMING_SNAKE_CASE_							:				float = 1 / sqrt(2     )     ):
					__lowerCAmelCase				   =       tau * frequency / samplerate
					__lowerCAmelCase				   =       sin(SCREAMING_SNAKE_CASE_     )
					__lowerCAmelCase				   =       cos(SCREAMING_SNAKE_CASE_     )
					__lowerCAmelCase				   =       _sin / (2 * q_factor)

					__lowerCAmelCase				   =       _sin / 2
					__lowerCAmelCase				   =       0
					__lowerCAmelCase				   =       -ba

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

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







def 	_a      (						SCREAMING_SNAKE_CASE_							:				int      ,      SCREAMING_SNAKE_CASE_							:				int      ,      SCREAMING_SNAKE_CASE_							:				float = 1 / sqrt(2     )     ):
					__lowerCAmelCase				   =       tau * frequency / samplerate
					__lowerCAmelCase				   =       sin(SCREAMING_SNAKE_CASE_     )
					__lowerCAmelCase				   =       cos(SCREAMING_SNAKE_CASE_     )
					__lowerCAmelCase				   =       _sin / (2 * q_factor)

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

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







def 	_a      (						SCREAMING_SNAKE_CASE_							:				int      ,      SCREAMING_SNAKE_CASE_							:				int      ,      SCREAMING_SNAKE_CASE_							:				float      ,      SCREAMING_SNAKE_CASE_							:				float = 1 / sqrt(2     )      ,      ):
					__lowerCAmelCase				   =       tau * frequency / samplerate
					__lowerCAmelCase				   =       sin(SCREAMING_SNAKE_CASE_     )
					__lowerCAmelCase				   =       cos(SCREAMING_SNAKE_CASE_     )
					__lowerCAmelCase				   =       _sin / (2 * q_factor)
					__lowerCAmelCase				   =       10 ** (gain_db / 40)

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

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







def 	_a      (						SCREAMING_SNAKE_CASE_							:				int      ,      SCREAMING_SNAKE_CASE_							:				int      ,      SCREAMING_SNAKE_CASE_							:				float      ,      SCREAMING_SNAKE_CASE_							:				float = 1 / sqrt(2     )      ,      ):
					__lowerCAmelCase				   =       tau * frequency / samplerate
					__lowerCAmelCase				   =       sin(SCREAMING_SNAKE_CASE_     )
					__lowerCAmelCase				   =       cos(SCREAMING_SNAKE_CASE_     )
					__lowerCAmelCase				   =       _sin / (2 * q_factor)
					__lowerCAmelCase				   =       10 ** (gain_db / 40)
					__lowerCAmelCase				   =       (big_a + 1) - (big_a - 1) * _cos
					__lowerCAmelCase				   =       (big_a + 1) + (big_a - 1) * _cos
					__lowerCAmelCase				   =       (big_a - 1) - (big_a + 1) * _cos
					__lowerCAmelCase				   =       (big_a - 1) + (big_a + 1) * _cos
					__lowerCAmelCase				   =       2 * sqrt(SCREAMING_SNAKE_CASE_     ) * alpha

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

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







def 	_a      (						SCREAMING_SNAKE_CASE_							:				int      ,      SCREAMING_SNAKE_CASE_							:				int      ,      SCREAMING_SNAKE_CASE_							:				float      ,      SCREAMING_SNAKE_CASE_							:				float = 1 / sqrt(2     )      ,      ):
					__lowerCAmelCase				   =       tau * frequency / samplerate
					__lowerCAmelCase				   =       sin(SCREAMING_SNAKE_CASE_     )
					__lowerCAmelCase				   =       cos(SCREAMING_SNAKE_CASE_     )
					__lowerCAmelCase				   =       _sin / (2 * q_factor)
					__lowerCAmelCase				   =       10 ** (gain_db / 40)
					__lowerCAmelCase				   =       (big_a + 1) - (big_a - 1) * _cos
					__lowerCAmelCase				   =       (big_a + 1) + (big_a - 1) * _cos
					__lowerCAmelCase				   =       (big_a - 1) - (big_a + 1) * _cos
					__lowerCAmelCase				   =       (big_a - 1) + (big_a + 1) * _cos
					__lowerCAmelCase				   =       2 * sqrt(SCREAMING_SNAKE_CASE_     ) * alpha

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

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












def 						_a    (      a :float	,							a :float )							->			float:
 return price * (1 + tax_rate)


if __name__ == "__main__":
     print(f"""{price_plus_tax(100, 0.25) = }""")
     print(f"""{price_plus_tax(125.50, 0.05) = }""")


