






from math import cos, sin, sqrt, tau

from audio_filters.iir_filter import IIRFilter


def   lowerCamelCase__			(     lowercase						,     lowercase						,     lowercase = 1 / sqrt(2				)				):

  """simple docstring"""






  SCREAMING_SNAKE_CASE       :      int							=    tau * frequency / samplerate
  SCREAMING_SNAKE_CASE       :      Optional[int]							=    sin(lowercase				)
  SCREAMING_SNAKE_CASE       :      Any							=    cos(lowercase				)
  SCREAMING_SNAKE_CASE       :      Any							=    _sin / (2 * q_factor)

  SCREAMING_SNAKE_CASE       :      str							=    (1 - _cos) / 2
  SCREAMING_SNAKE_CASE       :      Dict							=    1 - _cos

  SCREAMING_SNAKE_CASE       :      Dict							=    1 + alpha
  SCREAMING_SNAKE_CASE       :      str							=    -2 * _cos
  SCREAMING_SNAKE_CASE       :      str							=    1 - alpha

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


def   lowerCamelCase__			(     lowercase						,     lowercase						,     lowercase = 1 / sqrt(2				)				):

  """simple docstring"""






  SCREAMING_SNAKE_CASE       :      Any							=    tau * frequency / samplerate
  SCREAMING_SNAKE_CASE       :      Dict							=    sin(lowercase				)
  SCREAMING_SNAKE_CASE       :      int							=    cos(lowercase				)
  SCREAMING_SNAKE_CASE       :      Any							=    _sin / (2 * q_factor)

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

  SCREAMING_SNAKE_CASE       :      List[str]							=    1 + alpha
  SCREAMING_SNAKE_CASE       :      Optional[int]							=    -2 * _cos
  SCREAMING_SNAKE_CASE       :      int							=    1 - alpha

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


def   lowerCamelCase__			(     lowercase						,     lowercase						,     lowercase = 1 / sqrt(2				)				):

  """simple docstring"""






  SCREAMING_SNAKE_CASE       :      str							=    tau * frequency / samplerate
  SCREAMING_SNAKE_CASE       :      Any							=    sin(lowercase				)
  SCREAMING_SNAKE_CASE       :      int							=    cos(lowercase				)
  SCREAMING_SNAKE_CASE       :      List[str]							=    _sin / (2 * q_factor)

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

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

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


def   lowerCamelCase__			(     lowercase						,     lowercase						,     lowercase = 1 / sqrt(2				)				):

  """simple docstring"""






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

  SCREAMING_SNAKE_CASE       :      str							=    1 - alpha
  SCREAMING_SNAKE_CASE       :      str							=    -2 * _cos
  SCREAMING_SNAKE_CASE       :      Tuple							=    1 + alpha

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


def   lowerCamelCase__			(     lowercase						,     lowercase						,     lowercase						,     lowercase = 1 / sqrt(2				)						,     ):

  """simple docstring"""






  SCREAMING_SNAKE_CASE       :      Tuple							=    tau * frequency / samplerate
  SCREAMING_SNAKE_CASE       :      Union[str, Any]							=    sin(lowercase				)
  SCREAMING_SNAKE_CASE       :      Union[str, Any]							=    cos(lowercase				)
  SCREAMING_SNAKE_CASE       :      Union[str, Any]							=    _sin / (2 * q_factor)
  SCREAMING_SNAKE_CASE       :      Optional[Any]							=    10 ** (gain_db / 40)

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

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


def   lowerCamelCase__			(     lowercase						,     lowercase						,     lowercase						,     lowercase = 1 / sqrt(2				)						,     ):

  """simple docstring"""






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

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

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


def   lowerCamelCase__			(     lowercase						,     lowercase						,     lowercase						,     lowercase = 1 / sqrt(2				)						,     ):

  """simple docstring"""






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

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

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














import qiskit


def   lowerCamelCase__			(     lowercase						,     lowercase				):

  """simple docstring"""






  SCREAMING_SNAKE_CASE       :      List[str]							=    qiskit.Aer.get_backend("aer_simulator"				)

  # Create a Quantum Circuit acting on the q register
  SCREAMING_SNAKE_CASE       :      Dict							=    qiskit.QuantumCircuit(lowercase						,     lowercase				)

  # Map the quantum measurement to the classical bits
  circuit.measure([0]						,     [0]				)

  # Execute the circuit on the simulator
  SCREAMING_SNAKE_CASE       :      Union[str, Any]							=    qiskit.execute(lowercase						,     lowercase						,     shots=1000				)

  # Return the histogram data of the results of the experiment.
  return job.result().get_counts(lowercase				)


if __name__ == "__main__":
   print(F"""Total count for various states are: {single_qubit_measure(1, 1)}""")






