

"""simple docstring"""




from math import cos, sin, sqrt, tau

from audio_filters.iir_filter import IIRFilter



def 	UpperCAmelCase__   (				A__	,    A__	,    A__ = 1 / sqrt(2   )   )      ->      int:




   """simple docstring"""
   lowerCamelCase__						=			tau * frequency / samplerate
   lowerCamelCase__						=			sin(lowerCamelCase__   )
   lowerCamelCase__						=			cos(lowerCamelCase__   )
   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 	UpperCAmelCase__   (				A__	,    A__	,    A__ = 1 / sqrt(2   )   )      ->      Optional[Any]:




   """simple docstring"""
   lowerCamelCase__						=			tau * frequency / samplerate
   lowerCamelCase__						=			sin(lowerCamelCase__   )
   lowerCamelCase__						=			cos(lowerCamelCase__   )
   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 	UpperCAmelCase__   (				A__	,    A__	,    A__ = 1 / sqrt(2   )   )      ->      Optional[Any]:




   """simple docstring"""
   lowerCamelCase__						=			tau * frequency / samplerate
   lowerCamelCase__						=			sin(lowerCamelCase__   )
   lowerCamelCase__						=			cos(lowerCamelCase__   )
   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 	UpperCAmelCase__   (				A__	,    A__	,    A__ = 1 / sqrt(2   )   )      ->      Optional[Any]:




   """simple docstring"""
   lowerCamelCase__						=			tau * frequency / samplerate
   lowerCamelCase__						=			sin(lowerCamelCase__   )
   lowerCamelCase__						=			cos(lowerCamelCase__   )
   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 	UpperCAmelCase__   (				A__	,    A__	,    A__	,    A__ = 1 / sqrt(2   )	,    )      ->      Optional[int]:




   """simple docstring"""
   lowerCamelCase__						=			tau * frequency / samplerate
   lowerCamelCase__						=			sin(lowerCamelCase__   )
   lowerCamelCase__						=			cos(lowerCamelCase__   )
   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 	UpperCAmelCase__   (				A__	,    A__	,    A__	,    A__ = 1 / sqrt(2   )	,    )      ->      Dict:




   """simple docstring"""
   lowerCamelCase__						=			tau * frequency / samplerate
   lowerCamelCase__						=			sin(lowerCamelCase__   )
   lowerCamelCase__						=			cos(lowerCamelCase__   )
   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(lowerCamelCase__   ) * 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 	UpperCAmelCase__   (				A__	,    A__	,    A__	,    A__ = 1 / sqrt(2   )	,    )      ->      int:




   """simple docstring"""
   lowerCamelCase__						=			tau * frequency / samplerate
   lowerCamelCase__						=			sin(lowerCamelCase__   )
   lowerCamelCase__						=			cos(lowerCamelCase__   )
   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(lowerCamelCase__   ) * 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







"""simple docstring"""




from __future__ import annotations

from typing import Any



def 	UpperCAmelCase__   (				A__   )      ->      None:




   """simple docstring"""
   create_state_space_tree(A__	,    []	,    0   )



def 	UpperCAmelCase__   (				A__	,    A__	,    A__   )      ->      None:




   """simple docstring"""

   if index == len(A__   ):
      print(A__   )
      return

   create_state_space_tree(A__	,    A__	,    index + 1   )
   current_subsequence.append(sequence[index]   )
   create_state_space_tree(A__	,    A__	,    index + 1   )
   current_subsequence.pop()


if __name__ == "__main__":
     SCREAMING_SNAKE_CASE_     :			list[Any]	  =			[3, 1, 2, 4]
     generate_all_subsequences(seq)

     seq.clear()
     seq.extend(['''A''', '''B''', '''C'''])
     generate_all_subsequences(seq)




