


from math import cos, sin, sqrt, tau

from audio_filters.iir_filter import IIRFilter


def    __lowerCamelCase   (      A__						: int						,						A__						: int						,						A__						: float = 1 / sqrt(2					)					)     ->    IIRFilter:
   lowerCamelCase_						:   List[str]		= tau * frequency / samplerate
   lowerCamelCase_						:   List[str]		= sin(A__					)
   lowerCamelCase_						:   Any		= cos(A__					)
   lowerCamelCase_						:   List[Any]		= _sin / (2 * q_factor)

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

   lowerCamelCase_						:   str		= 1 + alpha
   lowerCamelCase_						:   Optional[Any]		= -2 * _cos
   lowerCamelCase_						:   Optional[int]		= 1 - alpha

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


def    __lowerCamelCase   (      A__						: int						,						A__						: int						,						A__						: float = 1 / sqrt(2					)					)     ->    IIRFilter:
   lowerCamelCase_						:   Any		= tau * frequency / samplerate
   lowerCamelCase_						:   Tuple		= sin(A__					)
   lowerCamelCase_						:   List[Any]		= cos(A__					)
   lowerCamelCase_						:   Any		= _sin / (2 * q_factor)

   lowerCamelCase_						:   Optional[Any]		= (1 + _cos) / 2
   lowerCamelCase_						:   Optional[int]		= -1 - _cos

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

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


def    __lowerCamelCase   (      A__						: int						,						A__						: int						,						A__						: float = 1 / sqrt(2					)					)     ->    IIRFilter:
   lowerCamelCase_						:   List[str]		= tau * frequency / samplerate
   lowerCamelCase_						:   Union[str, Any]		= sin(A__					)
   lowerCamelCase_						:   Tuple		= cos(A__					)
   lowerCamelCase_						:   Union[str, Any]		= _sin / (2 * q_factor)

   lowerCamelCase_						:   int		= _sin / 2
   lowerCamelCase_						:   str		= 0
   lowerCamelCase_						:   Dict		= -ba

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

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


def    __lowerCamelCase   (      A__						: int						,						A__						: int						,						A__						: float = 1 / sqrt(2					)					)     ->    IIRFilter:
   lowerCamelCase_						:   Any		= tau * frequency / samplerate
   lowerCamelCase_						:   int		= sin(A__					)
   lowerCamelCase_						:   List[str]		= cos(A__					)
   lowerCamelCase_						:   Any		= _sin / (2 * q_factor)

   lowerCamelCase_						:   Tuple		= 1 - alpha
   lowerCamelCase_						:   List[str]		= -2 * _cos
   lowerCamelCase_						:   List[str]		= 1 + alpha

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


def    __lowerCamelCase   (      A__						: int						,						A__						: int						,						A__						: float						,						A__						: float = 1 / sqrt(2					)						,						)     ->    IIRFilter:
   lowerCamelCase_						:   Optional[int]		= tau * frequency / samplerate
   lowerCamelCase_						:   Any		= sin(A__					)
   lowerCamelCase_						:   str		= cos(A__					)
   lowerCamelCase_						:   List[Any]		= _sin / (2 * q_factor)
   lowerCamelCase_						:   Dict		= 10 ** (gain_db / 40)

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

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


def    __lowerCamelCase   (      A__						: int						,						A__						: int						,						A__						: float						,						A__						: float = 1 / sqrt(2					)						,						)     ->    IIRFilter:
   lowerCamelCase_						:   List[Any]		= tau * frequency / samplerate
   lowerCamelCase_						:   Optional[Any]		= sin(A__					)
   lowerCamelCase_						:   str		= cos(A__					)
   lowerCamelCase_						:   Any		= _sin / (2 * q_factor)
   lowerCamelCase_						:   Tuple		= 10 ** (gain_db / 40)
   lowerCamelCase_						:   Optional[int]		= (big_a + 1) - (big_a - 1) * _cos
   lowerCamelCase_						:   Optional[Any]		= (big_a + 1) + (big_a - 1) * _cos
   lowerCamelCase_						:   Optional[Any]		= (big_a - 1) - (big_a + 1) * _cos
   lowerCamelCase_						:   List[Any]		= (big_a - 1) + (big_a + 1) * _cos
   lowerCamelCase_						:   Dict		= 2 * sqrt(A__					) * alpha

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

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



def    __lowerCamelCase   (      A__						: int						,						A__						: int						,						A__						: float						,						A__						: float = 1 / sqrt(2					)						,						)     ->    IIRFilter:
   lowerCamelCase_						:   List[Any]		= tau * frequency / samplerate
   lowerCamelCase_						:   Optional[int]		= sin(A__					)
   lowerCamelCase_						:   Optional[int]		= cos(A__					)
   lowerCamelCase_						:   List[Any]		= _sin / (2 * q_factor)
   lowerCamelCase_						:   int		= 10 ** (gain_db / 40)
   lowerCamelCase_						:   Union[str, Any]		= (big_a + 1) - (big_a - 1) * _cos
   lowerCamelCase_						:   Union[str, Any]		= (big_a + 1) + (big_a - 1) * _cos
   lowerCamelCase_						:   Optional[int]		= (big_a - 1) - (big_a + 1) * _cos
   lowerCamelCase_						:   int		= (big_a - 1) + (big_a + 1) * _cos
   lowerCamelCase_						:   Optional[int]		= 2 * sqrt(A__					) * alpha

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

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









class   SCREAMING_SNAKE_CASE_			:




       '''simple docstring'''



       def __init__(						self				:				Tuple		,				__a				:				int							)					->Optional[int]:
          lowerCamelCase_						:   Optional[Any]		= n
          lowerCamelCase_						:   Dict		= [None] * self.n
          lowerCamelCase_						:   int		= 0  # index of the first element
          lowerCamelCase_						:   str		= 0
          lowerCamelCase_						:   Optional[Any]		= 0



       def __len__(						self				:				List[str]							)					->int:
          return self.size



       def 				_lowerCAmelCase							(						self				:				str							)					->bool:
          return self.size == 0



       def 				_lowerCAmelCase							(						self				:				str							)					->Any:
          return False if self.is_empty() else self.array[self.front]



       def 				_lowerCAmelCase							(						self				:				Union[str, Any]		,				__a				:				int							)					->List[Any]:
          if self.size >= self.n:
             raise Exception("""QUEUE IS FULL"""							)

          lowerCamelCase_						:   Tuple		= data
          lowerCamelCase_						:   Tuple		= (self.rear + 1) % self.n
          self.size += 1
          return self




       def 				_lowerCAmelCase							(						self				:				Tuple							)					->int:
          if self.size == 0:
             raise Exception("""UNDERFLOW"""							)

          lowerCamelCase_						:   str		= self.array[self.front]
          lowerCamelCase_						:   str		= None
          lowerCamelCase_						:   Optional[Any]		= (self.front + 1) % self.n
          self.size -= 1
          return temp





