


'''simple docstring'''




import math

from numpy import inf
from scipy.integrate import quad


def    UpperCAmelCase_  (       A      ):
   '''simple docstring'''





   if num <= 0:
      raise ValueError('math domain error'      )

   return quad(A		,	0		,	A		,	args=(A)      )[0]


def    UpperCAmelCase_  (       A		,	A      ):
   '''simple docstring'''





   return math.pow(A		,	z - 1      ) * math.exp(-x      )


if __name__ == "__main__":
 from doctest import testmod

 testmod()






'''simple docstring'''




from math import cos, sin, sqrt, tau

from audio_filters.iir_filter import IIRFilter


def    UpperCAmelCase_  (       A		,	A		,	A = 1 / sqrt(2      )      ):
   '''simple docstring'''





   _a					:  List[Any]						=  tau * frequency / samplerate
   _a					:  Tuple						=  sin(A      )
   _a					:  List[Any]						=  cos(A      )
   _a					:  Union[str, Any]						=  _sin / (2 * q_factor)

   _a					:  Dict						=  (1 - _cos) / 2
   _a					:  Any						=  1 - _cos

   _a					:  Any						=  1 + alpha
   _a					:  int						=  -2 * _cos
   _a					:  str						=  1 - alpha

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


def    UpperCAmelCase_  (       A		,	A		,	A = 1 / sqrt(2      )      ):
   '''simple docstring'''





   _a					:  int						=  tau * frequency / samplerate
   _a					:  int						=  sin(A      )
   _a					:  Union[str, Any]						=  cos(A      )
   _a					:  int						=  _sin / (2 * q_factor)

   _a					:  Dict						=  (1 + _cos) / 2
   _a					:  int						=  -1 - _cos

   _a					:  Optional[int]						=  1 + alpha
   _a					:  str						=  -2 * _cos
   _a					:  Dict						=  1 - alpha

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


def    UpperCAmelCase_  (       A		,	A		,	A = 1 / sqrt(2      )      ):
   '''simple docstring'''





   _a					:  str						=  tau * frequency / samplerate
   _a					:  Dict						=  sin(A      )
   _a					:  int						=  cos(A      )
   _a					:  Dict						=  _sin / (2 * q_factor)

   _a					:  List[Any]						=  _sin / 2
   _a					:  List[str]						=  0
   _a					:  Dict						=  -ba

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

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


def    UpperCAmelCase_  (       A		,	A		,	A = 1 / sqrt(2      )      ):
   '''simple docstring'''





   _a					:  Optional[Any]						=  tau * frequency / samplerate
   _a					:  Tuple						=  sin(A      )
   _a					:  Tuple						=  cos(A      )
   _a					:  Dict						=  _sin / (2 * q_factor)

   _a					:  List[Any]						=  1 - alpha
   _a					:  int						=  -2 * _cos
   _a					:  List[Any]						=  1 + alpha

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


def    UpperCAmelCase_  (       A		,	A		,	A		,	A = 1 / sqrt(2      )		,	):
   '''simple docstring'''





   _a					:  Union[str, Any]						=  tau * frequency / samplerate
   _a					:  str						=  sin(A      )
   _a					:  str						=  cos(A      )
   _a					:  List[Any]						=  _sin / (2 * q_factor)
   _a					:  Optional[Any]						=  1_0 ** (gain_db / 4_0)

   _a					:  Dict						=  1 + alpha * big_a
   _a					:  str						=  -2 * _cos
   _a					:  Tuple						=  1 - alpha * big_a
   _a					:  Tuple						=  1 + alpha / big_a
   _a					:  str						=  -2 * _cos
   _a					:  Union[str, Any]						=  1 - alpha / big_a

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


def    UpperCAmelCase_  (       A		,	A		,	A		,	A = 1 / sqrt(2      )		,	):
   '''simple docstring'''





   _a					:  Optional[int]						=  tau * frequency / samplerate
   _a					:  List[str]						=  sin(A      )
   _a					:  Tuple						=  cos(A      )
   _a					:  Union[str, Any]						=  _sin / (2 * q_factor)
   _a					:  str						=  1_0 ** (gain_db / 4_0)
   _a					:  Optional[Any]						=  (big_a + 1) - (big_a - 1) * _cos
   _a					:  List[str]						=  (big_a + 1) + (big_a - 1) * _cos
   _a					:  List[Any]						=  (big_a - 1) - (big_a + 1) * _cos
   _a					:  Dict						=  (big_a - 1) + (big_a + 1) * _cos
   _a					:  Tuple						=  2 * sqrt(A      ) * alpha

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

   _a					:  Tuple						=  IIRFilter(2      )
   filt.set_coefficients([aa, aa, aa]		,	[ba, ba, ba]      )
   return filt







def    UpperCAmelCase_  (       A		,	A		,	A		,	A = 1 / sqrt(2      )		,	):
   '''simple docstring'''





   _a					:  Dict						=  tau * frequency / samplerate
   _a					:  Tuple						=  sin(A      )
   _a					:  Any						=  cos(A      )
   _a					:  int						=  _sin / (2 * q_factor)
   _a					:  str						=  1_0 ** (gain_db / 4_0)
   _a					:  List[Any]						=  (big_a + 1) - (big_a - 1) * _cos
   _a					:  Union[str, Any]						=  (big_a + 1) + (big_a - 1) * _cos
   _a					:  List[Any]						=  (big_a - 1) - (big_a + 1) * _cos
   _a					:  List[str]						=  (big_a - 1) + (big_a + 1) * _cos
   _a					:  Union[str, Any]						=  2 * sqrt(A      ) * alpha

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

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


