




"""simple docstring"""


from math import cos, sin, sqrt, tau

from audio_filters.iir_filter import IIRFilter


def  UpperCAmelCase__	(snake_case__							: int		,       snake_case__							: int		,       snake_case__							: float = 1 / sqrt(2   )   ):
  """simple docstring"""

  _snake_case							:		List[str]								=  tau * frequency / samplerate
  _snake_case							:		Tuple								=  sin(snake_case__   )
  _snake_case							:		List[str]								=  cos(snake_case__   )
  _snake_case							:		int								=  _sin / (2 * q_factor)

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

  _snake_case							:		Tuple								=  1 + alpha
  _snake_case							:		Any								=  -2 * _cos
  _snake_case							:		Union[str, Any]								=  1 - alpha

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


def  UpperCAmelCase__	(snake_case__							: int		,       snake_case__							: int		,       snake_case__							: float = 1 / sqrt(2   )   ):
  """simple docstring"""

  _snake_case							:		Tuple								=  tau * frequency / samplerate
  _snake_case							:		str								=  sin(snake_case__   )
  _snake_case							:		Optional[int]								=  cos(snake_case__   )
  _snake_case							:		Tuple								=  _sin / (2 * q_factor)

  _snake_case							:		List[str]								=  (1 + _cos) / 2
  _snake_case							:		List[Any]								=  -1 - _cos

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

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


def  UpperCAmelCase__	(snake_case__							: int		,       snake_case__							: int		,       snake_case__							: float = 1 / sqrt(2   )   ):
  """simple docstring"""

  _snake_case							:		List[Any]								=  tau * frequency / samplerate
  _snake_case							:		Optional[Any]								=  sin(snake_case__   )
  _snake_case							:		Tuple								=  cos(snake_case__   )
  _snake_case							:		List[str]								=  _sin / (2 * q_factor)

  _snake_case							:		Union[str, Any]								=  _sin / 2
  _snake_case							:		Tuple								=  0
  _snake_case							:		Any								=  -ba

  _snake_case							:		Optional[int]								=  1 + alpha
  _snake_case							:		Tuple								=  -2 * _cos
  _snake_case							:		Dict								=  1 - alpha

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


def  UpperCAmelCase__	(snake_case__							: int		,       snake_case__							: int		,       snake_case__							: float = 1 / sqrt(2   )   ):
  """simple docstring"""

  _snake_case							:		Dict								=  tau * frequency / samplerate
  _snake_case							:		Dict								=  sin(snake_case__   )
  _snake_case							:		str								=  cos(snake_case__   )
  _snake_case							:		Union[str, Any]								=  _sin / (2 * q_factor)

  _snake_case							:		List[Any]								=  1 - alpha
  _snake_case							:		Tuple								=  -2 * _cos
  _snake_case							:		Optional[Any]								=  1 + alpha

  _snake_case							:		Optional[Any]								=  IIRFilter(2   )
  filt.set_coefficients([ba, ba, ba]		,       [ba, ba, ba]   )
  return filt


def  UpperCAmelCase__	(snake_case__							: int		,       snake_case__							: int		,       snake_case__							: float		,       snake_case__							: float = 1 / sqrt(2   )		,       ):
  """simple docstring"""

  _snake_case							:		Optional[int]								=  tau * frequency / samplerate
  _snake_case							:		Dict								=  sin(snake_case__   )
  _snake_case							:		Union[str, Any]								=  cos(snake_case__   )
  _snake_case							:		int								=  _sin / (2 * q_factor)
  _snake_case							:		Optional[int]								=  10 ** (gain_db / 40)

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

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


def  UpperCAmelCase__	(snake_case__							: int		,       snake_case__							: int		,       snake_case__							: float		,       snake_case__							: float = 1 / sqrt(2   )		,       ):
  """simple docstring"""

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

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

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






def  UpperCAmelCase__	(snake_case__							: int		,       snake_case__							: int		,       snake_case__							: float		,       snake_case__							: float = 1 / sqrt(2   )		,       ):
  """simple docstring"""

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

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

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








"""simple docstring"""


from typing import Any






class  lowercase:







 '''simple docstring'''





 def __init__(    self:		Dict,				a_:		Any		):




   '''simple docstring'''



   _snake_case							:		Dict								=  data
   _snake_case							:		Optional[Any]								=  None







class  lowercase:







 '''simple docstring'''





 def __init__(    self:		str		):




   '''simple docstring'''



   _snake_case							:		Any								=  None


 def 			UpperCamelCase_       (    self:		Any		):




   '''simple docstring'''



   _snake_case							:		List[Any]								=  self.head
   while temp is not None:
     print(temp.data,				end=""" """		)
     _snake_case							:		int								=  temp.next
   print()


 def 			UpperCamelCase_       (    self:		Union[str, Any],				a_:		Any		):




   '''simple docstring'''



   _snake_case							:		Optional[Any]								=  Node(a_		)
   _snake_case							:		Union[str, Any]								=  self.head
   _snake_case							:		List[Any]								=  new_node


 def 			UpperCamelCase_       (    self:		Tuple,				a_:		List[str],				a_:		Union[str, Any]		):




   '''simple docstring'''



   if node_data_a == node_data_a:
     return
   else:
     _snake_case							:		int								=  self.head
     while node_a is not None and node_a.data != node_data_a:
       _snake_case							:		List[Any]								=  node_a.next

     _snake_case							:		List[Any]								=  self.head
     while node_a is not None and node_a.data != node_data_a:
       _snake_case							:		List[Any]								=  node_a.next

     if node_a is None or node_a is None:
       return

     _snake_case		, _snake_case							:		int								=  node_a.data, node_a.data


if __name__ == "__main__":
     A_      =    LinkedList()
     for i in range(5, 0, -1):
          ll.push(i)

     ll.print_list()

     ll.swap_nodes(1, 4)
     print('''After swapping''')
     ll.print_list()


