from math import cos, sin, sqrt, tau

from audio_filters.iir_filter import IIRFilter



def 			__SCREAMING_SNAKE_CASE						(      __UpperCamelCase					: int				,  __UpperCamelCase					: int				,  __UpperCamelCase					: float = 1 / sqrt(2			)			)							->      IIRFilter:







  """simple docstring"""





  SCREAMING_SNAKE_CASE__    							=   tau * frequency / samplerate
  SCREAMING_SNAKE_CASE__    							=   sin(__UpperCamelCase			)
  SCREAMING_SNAKE_CASE__    							=   cos(__UpperCamelCase			)
  SCREAMING_SNAKE_CASE__    							=   _sin / (2 * q_factor)

  SCREAMING_SNAKE_CASE__    							=   (1 - _cos) / 2
  SCREAMING_SNAKE_CASE__    							=   1 - _cos

  SCREAMING_SNAKE_CASE__    							=   1 + alpha
  SCREAMING_SNAKE_CASE__    							=   -2 * _cos
  SCREAMING_SNAKE_CASE__    							=   1 - alpha

  SCREAMING_SNAKE_CASE__    							=   IIRFilter(2			)
  filt.set_coefficients([aa, aa, aa]				,  [ba, ba, ba]			)
  return filt



def 			__SCREAMING_SNAKE_CASE						(      __UpperCamelCase					: int				,  __UpperCamelCase					: int				,  __UpperCamelCase					: float = 1 / sqrt(2			)			)							->      IIRFilter:







  """simple docstring"""





  SCREAMING_SNAKE_CASE__    							=   tau * frequency / samplerate
  SCREAMING_SNAKE_CASE__    							=   sin(__UpperCamelCase			)
  SCREAMING_SNAKE_CASE__    							=   cos(__UpperCamelCase			)
  SCREAMING_SNAKE_CASE__    							=   _sin / (2 * q_factor)

  SCREAMING_SNAKE_CASE__    							=   (1 + _cos) / 2
  SCREAMING_SNAKE_CASE__    							=   -1 - _cos

  SCREAMING_SNAKE_CASE__    							=   1 + alpha
  SCREAMING_SNAKE_CASE__    							=   -2 * _cos
  SCREAMING_SNAKE_CASE__    							=   1 - alpha

  SCREAMING_SNAKE_CASE__    							=   IIRFilter(2			)
  filt.set_coefficients([aa, aa, aa]				,  [ba, ba, ba]			)
  return filt



def 			__SCREAMING_SNAKE_CASE						(      __UpperCamelCase					: int				,  __UpperCamelCase					: int				,  __UpperCamelCase					: float = 1 / sqrt(2			)			)							->      IIRFilter:







  """simple docstring"""





  SCREAMING_SNAKE_CASE__    							=   tau * frequency / samplerate
  SCREAMING_SNAKE_CASE__    							=   sin(__UpperCamelCase			)
  SCREAMING_SNAKE_CASE__    							=   cos(__UpperCamelCase			)
  SCREAMING_SNAKE_CASE__    							=   _sin / (2 * q_factor)

  SCREAMING_SNAKE_CASE__    							=   _sin / 2
  SCREAMING_SNAKE_CASE__    							=   0
  SCREAMING_SNAKE_CASE__    							=   -ba

  SCREAMING_SNAKE_CASE__    							=   1 + alpha
  SCREAMING_SNAKE_CASE__    							=   -2 * _cos
  SCREAMING_SNAKE_CASE__    							=   1 - alpha

  SCREAMING_SNAKE_CASE__    							=   IIRFilter(2			)
  filt.set_coefficients([aa, aa, aa]				,  [ba, ba, ba]			)
  return filt



def 			__SCREAMING_SNAKE_CASE						(      __UpperCamelCase					: int				,  __UpperCamelCase					: int				,  __UpperCamelCase					: float = 1 / sqrt(2			)			)							->      IIRFilter:







  """simple docstring"""





  SCREAMING_SNAKE_CASE__    							=   tau * frequency / samplerate
  SCREAMING_SNAKE_CASE__    							=   sin(__UpperCamelCase			)
  SCREAMING_SNAKE_CASE__    							=   cos(__UpperCamelCase			)
  SCREAMING_SNAKE_CASE__    							=   _sin / (2 * q_factor)

  SCREAMING_SNAKE_CASE__    							=   1 - alpha
  SCREAMING_SNAKE_CASE__    							=   -2 * _cos
  SCREAMING_SNAKE_CASE__    							=   1 + alpha

  SCREAMING_SNAKE_CASE__    							=   IIRFilter(2			)
  filt.set_coefficients([ba, ba, ba]				,  [ba, ba, ba]			)
  return filt



def 			__SCREAMING_SNAKE_CASE						(      __UpperCamelCase					: int				,  __UpperCamelCase					: int				,  __UpperCamelCase					: float				,  __UpperCamelCase					: float = 1 / sqrt(2			)				,  )							->      IIRFilter:







  """simple docstring"""





  SCREAMING_SNAKE_CASE__    							=   tau * frequency / samplerate
  SCREAMING_SNAKE_CASE__    							=   sin(__UpperCamelCase			)
  SCREAMING_SNAKE_CASE__    							=   cos(__UpperCamelCase			)
  SCREAMING_SNAKE_CASE__    							=   _sin / (2 * q_factor)
  SCREAMING_SNAKE_CASE__    							=   10 ** (gain_db / 40)

  SCREAMING_SNAKE_CASE__    							=   1 + alpha * big_a
  SCREAMING_SNAKE_CASE__    							=   -2 * _cos
  SCREAMING_SNAKE_CASE__    							=   1 - alpha * big_a
  SCREAMING_SNAKE_CASE__    							=   1 + alpha / big_a
  SCREAMING_SNAKE_CASE__    							=   -2 * _cos
  SCREAMING_SNAKE_CASE__    							=   1 - alpha / big_a

  SCREAMING_SNAKE_CASE__    							=   IIRFilter(2			)
  filt.set_coefficients([aa, aa, aa]				,  [ba, ba, ba]			)
  return filt



def 			__SCREAMING_SNAKE_CASE						(      __UpperCamelCase					: int				,  __UpperCamelCase					: int				,  __UpperCamelCase					: float				,  __UpperCamelCase					: float = 1 / sqrt(2			)				,  )							->      IIRFilter:







  """simple docstring"""





  SCREAMING_SNAKE_CASE__    							=   tau * frequency / samplerate
  SCREAMING_SNAKE_CASE__    							=   sin(__UpperCamelCase			)
  SCREAMING_SNAKE_CASE__    							=   cos(__UpperCamelCase			)
  SCREAMING_SNAKE_CASE__    							=   _sin / (2 * q_factor)
  SCREAMING_SNAKE_CASE__    							=   10 ** (gain_db / 40)
  SCREAMING_SNAKE_CASE__    							=   (big_a + 1) - (big_a - 1) * _cos
  SCREAMING_SNAKE_CASE__    							=   (big_a + 1) + (big_a - 1) * _cos
  SCREAMING_SNAKE_CASE__    							=   (big_a - 1) - (big_a + 1) * _cos
  SCREAMING_SNAKE_CASE__    							=   (big_a - 1) + (big_a + 1) * _cos
  SCREAMING_SNAKE_CASE__    							=   2 * sqrt(__UpperCamelCase			) * alpha

  SCREAMING_SNAKE_CASE__    							=   big_a * (pmc + aaa)
  SCREAMING_SNAKE_CASE__    							=   2 * big_a * mpc
  SCREAMING_SNAKE_CASE__    							=   big_a * (pmc - aaa)
  SCREAMING_SNAKE_CASE__    							=   ppmc + aaa
  SCREAMING_SNAKE_CASE__    							=   -2 * pmpc
  SCREAMING_SNAKE_CASE__    							=   ppmc - aaa

  SCREAMING_SNAKE_CASE__    							=   IIRFilter(2			)
  filt.set_coefficients([aa, aa, aa]				,  [ba, ba, ba]			)
  return filt






def 			__SCREAMING_SNAKE_CASE						(      __UpperCamelCase					: int				,  __UpperCamelCase					: int				,  __UpperCamelCase					: float				,  __UpperCamelCase					: float = 1 / sqrt(2			)				,  )							->      IIRFilter:







  """simple docstring"""





  SCREAMING_SNAKE_CASE__    							=   tau * frequency / samplerate
  SCREAMING_SNAKE_CASE__    							=   sin(__UpperCamelCase			)
  SCREAMING_SNAKE_CASE__    							=   cos(__UpperCamelCase			)
  SCREAMING_SNAKE_CASE__    							=   _sin / (2 * q_factor)
  SCREAMING_SNAKE_CASE__    							=   10 ** (gain_db / 40)
  SCREAMING_SNAKE_CASE__    							=   (big_a + 1) - (big_a - 1) * _cos
  SCREAMING_SNAKE_CASE__    							=   (big_a + 1) + (big_a - 1) * _cos
  SCREAMING_SNAKE_CASE__    							=   (big_a - 1) - (big_a + 1) * _cos
  SCREAMING_SNAKE_CASE__    							=   (big_a - 1) + (big_a + 1) * _cos
  SCREAMING_SNAKE_CASE__    							=   2 * sqrt(__UpperCamelCase			) * alpha

  SCREAMING_SNAKE_CASE__    							=   big_a * (ppmc + aaa)
  SCREAMING_SNAKE_CASE__    							=   -2 * big_a * pmpc
  SCREAMING_SNAKE_CASE__    							=   big_a * (ppmc - aaa)
  SCREAMING_SNAKE_CASE__    							=   pmc + aaa
  SCREAMING_SNAKE_CASE__    							=   2 * mpc
  SCREAMING_SNAKE_CASE__    							=   pmc - aaa

  SCREAMING_SNAKE_CASE__    							=   IIRFilter(2			)
  filt.set_coefficients([aa, aa, aa]				,  [ba, ba, ba]			)
  return filt

import pickle
import unittest

import torch

from accelerate import Accelerator
from accelerate.state import AcceleratorState
from accelerate.test_utils import require_cpu







@require_cpu
class __snake_case       (		unittest.TestCase	):




   def 			__a		(					self    :       Any   ):



     """simple docstring"""






     SCREAMING_SNAKE_CASE__    							=   torch.nn.Linear(10 ,			10   )
     SCREAMING_SNAKE_CASE__    							=   torch.optim.SGD(model.parameters() ,			0.1   )
     SCREAMING_SNAKE_CASE__    							=   Accelerator()
     SCREAMING_SNAKE_CASE__    							=   accelerator.prepare(_lowercase   )
     try:
       pickle.loads(pickle.dumps(_lowercase   )   )
     except Exception as e:
       self.fail(f"""Accelerated optimizer pickling failed with {e}"""   )
     AcceleratorState._reset_state()
