





from math import cos, sin, sqrt, tau

from audio_filters.iir_filter import IIRFilter
def      _A       (		SCREAMING_SNAKE_CASE     :   Any       ,       SCREAMING_SNAKE_CASE     :   Optional[Any]       ,       SCREAMING_SNAKE_CASE     :   Tuple = 1 / sqrt(2						)						):





  """simple docstring"""



  a__	:					Dict										=tau * frequency / samplerate
  a__	:					List[Any]										=sin(__UpperCAmelCase						)
  a__	:					List[str]										=cos(__UpperCAmelCase						)
  a__	:					List[Any]										=_sin / (2 * q_factor)

  a__	:					Dict										=(1 - _cos) / 2
  a__	:					Tuple										=1 - _cos

  a__	:					Dict										=1 + alpha
  a__	:					Optional[Any]										=-2 * _cos
  a__	:					Any										=1 - alpha

  a__	:					str										=IIRFilter(2						)
  filt.set_coefficients([aa, aa, aa]       ,       [ba, ba, ba]						)
  return filt
def      _A       (		SCREAMING_SNAKE_CASE     :   Tuple       ,       SCREAMING_SNAKE_CASE     :   Any       ,       SCREAMING_SNAKE_CASE     :   str = 1 / sqrt(2						)						):





  """simple docstring"""



  a__	:					Optional[Any]										=tau * frequency / samplerate
  a__	:					Optional[int]										=sin(__UpperCAmelCase						)
  a__	:					Tuple										=cos(__UpperCAmelCase						)
  a__	:					Any										=_sin / (2 * q_factor)

  a__	:					Any										=(1 + _cos) / 2
  a__	:					Union[str, Any]										=-1 - _cos

  a__	:					int										=1 + alpha
  a__	:					Tuple										=-2 * _cos
  a__	:					Any										=1 - alpha

  a__	:					Dict										=IIRFilter(2						)
  filt.set_coefficients([aa, aa, aa]       ,       [ba, ba, ba]						)
  return filt
def      _A       (		SCREAMING_SNAKE_CASE     :   int       ,       SCREAMING_SNAKE_CASE     :   Any       ,       SCREAMING_SNAKE_CASE     :   Optional[int] = 1 / sqrt(2						)						):





  """simple docstring"""



  a__	:					str										=tau * frequency / samplerate
  a__	:					Dict										=sin(__UpperCAmelCase						)
  a__	:					Optional[Any]										=cos(__UpperCAmelCase						)
  a__	:					str										=_sin / (2 * q_factor)

  a__	:					Dict										=_sin / 2
  a__	:					Tuple										=0
  a__	:					str										=-ba

  a__	:					Optional[Any]										=1 + alpha
  a__	:					Any										=-2 * _cos
  a__	:					Any										=1 - alpha

  a__	:					Tuple										=IIRFilter(2						)
  filt.set_coefficients([aa, aa, aa]       ,       [ba, ba, ba]						)
  return filt
def      _A       (		SCREAMING_SNAKE_CASE     :   Optional[int]       ,       SCREAMING_SNAKE_CASE     :   List[Any]       ,       SCREAMING_SNAKE_CASE     :   Optional[int] = 1 / sqrt(2						)						):





  """simple docstring"""



  a__	:					Tuple										=tau * frequency / samplerate
  a__	:					Optional[int]										=sin(__UpperCAmelCase						)
  a__	:					Union[str, Any]										=cos(__UpperCAmelCase						)
  a__	:					Any										=_sin / (2 * q_factor)

  a__	:					Tuple										=1 - alpha
  a__	:					Dict										=-2 * _cos
  a__	:					Optional[Any]										=1 + alpha

  a__	:					str										=IIRFilter(2						)
  filt.set_coefficients([ba, ba, ba]       ,       [ba, ba, ba]						)
  return filt
def      _A       (		SCREAMING_SNAKE_CASE     :   Optional[Any]       ,       SCREAMING_SNAKE_CASE     :   int       ,       SCREAMING_SNAKE_CASE     :   Tuple       ,       SCREAMING_SNAKE_CASE     :   int = 1 / sqrt(2						)       ,       ):





  """simple docstring"""



  a__	:					int										=tau * frequency / samplerate
  a__	:					int										=sin(__UpperCAmelCase						)
  a__	:					Optional[Any]										=cos(__UpperCAmelCase						)
  a__	:					Any										=_sin / (2 * q_factor)
  a__	:					Tuple										=10 ** (gain_db / 40)

  a__	:					Dict										=1 + alpha * big_a
  a__	:					Union[str, Any]										=-2 * _cos
  a__	:					str										=1 - alpha * big_a
  a__	:					List[str]										=1 + alpha / big_a
  a__	:					Any										=-2 * _cos
  a__	:					Optional[Any]										=1 - alpha / big_a

  a__	:					int										=IIRFilter(2						)
  filt.set_coefficients([aa, aa, aa]       ,       [ba, ba, ba]						)
  return filt
def      _A       (		SCREAMING_SNAKE_CASE     :   str       ,       SCREAMING_SNAKE_CASE     :   Dict       ,       SCREAMING_SNAKE_CASE     :   Any       ,       SCREAMING_SNAKE_CASE     :   Optional[int] = 1 / sqrt(2						)       ,       ):





  """simple docstring"""



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

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

  a__	:					Any										=IIRFilter(2						)
  filt.set_coefficients([aa, aa, aa]       ,       [ba, ba, ba]						)
  return filt





def      _A       (		SCREAMING_SNAKE_CASE     :   List[Any]       ,       SCREAMING_SNAKE_CASE     :   Any       ,       SCREAMING_SNAKE_CASE     :   Any       ,       SCREAMING_SNAKE_CASE     :   List[str] = 1 / sqrt(2						)       ,       ):





  """simple docstring"""



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

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

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







"""simple docstring"""






def SCREAMING_SNAKE_CASE__			(   __UpperCAmelCase )  ->  int:

   if not grid or not grid[0]:
      raise TypeError('''The grid does not contain the appropriate information''' )

   for cell_n in range(1       ,    len(grid[0] ) ):
      grid[0][cell_n] += grid[0][cell_n - 1]
   lowercase__:   Tuple					=      grid[0]

   for row_n in range(1       ,    len(__UpperCAmelCase ) ):
      lowercase__:   Tuple					=      grid[row_n]
      lowercase__:   Dict					=      fill_row(__UpperCAmelCase       ,    __UpperCAmelCase )
      lowercase__:   Union[str, Any]					=      grid[row_n]

   return grid[-1][-1]



def SCREAMING_SNAKE_CASE__			(   __UpperCAmelCase       ,    __UpperCAmelCase )  ->  list:
   current_row[0] += row_above[0]
   for cell_n in range(1       ,    len(__UpperCAmelCase ) ):
      current_row[cell_n] += min(current_row[cell_n - 1]       ,    row_above[cell_n] )

   return current_row


if __name__ == "__main__":
       import doctest

       doctest.testmod()
