





'''simple docstring'''






from math import cos, sin, sqrt, tau

from audio_filters.iir_filter import IIRFilter
def   UpperCamelCase__ (						lowerCAmelCase				,      lowerCAmelCase				,      lowerCAmelCase = 1 / sqrt(2    )    ):





      """simple docstring"""


      _lowerCAmelCase					=				tau * frequency / samplerate
      _lowerCAmelCase					=				sin(lowerCAmelCase    )
      _lowerCAmelCase					=				cos(lowerCAmelCase    )
      _lowerCAmelCase					=				_sin / (2 * q_factor)

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

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

      _lowerCAmelCase					=				IIRFilter(2    )
      filt.set_coefficients([aa, aa, aa]				,      [ba, ba, ba]    )
      return filt
def   UpperCamelCase__ (						lowerCAmelCase				,      lowerCAmelCase				,      lowerCAmelCase = 1 / sqrt(2    )    ):





      """simple docstring"""


      _lowerCAmelCase					=				tau * frequency / samplerate
      _lowerCAmelCase					=				sin(lowerCAmelCase    )
      _lowerCAmelCase					=				cos(lowerCAmelCase    )
      _lowerCAmelCase					=				_sin / (2 * q_factor)

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

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

      _lowerCAmelCase					=				IIRFilter(2    )
      filt.set_coefficients([aa, aa, aa]				,      [ba, ba, ba]    )
      return filt
def   UpperCamelCase__ (						lowerCAmelCase				,      lowerCAmelCase				,      lowerCAmelCase = 1 / sqrt(2    )    ):





      """simple docstring"""


      _lowerCAmelCase					=				tau * frequency / samplerate
      _lowerCAmelCase					=				sin(lowerCAmelCase    )
      _lowerCAmelCase					=				cos(lowerCAmelCase    )
      _lowerCAmelCase					=				_sin / (2 * q_factor)

      _lowerCAmelCase					=				_sin / 2
      _lowerCAmelCase					=				0
      _lowerCAmelCase					=				-ba

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

      _lowerCAmelCase					=				IIRFilter(2    )
      filt.set_coefficients([aa, aa, aa]				,      [ba, ba, ba]    )
      return filt
def   UpperCamelCase__ (						lowerCAmelCase				,      lowerCAmelCase				,      lowerCAmelCase = 1 / sqrt(2    )    ):





      """simple docstring"""


      _lowerCAmelCase					=				tau * frequency / samplerate
      _lowerCAmelCase					=				sin(lowerCAmelCase    )
      _lowerCAmelCase					=				cos(lowerCAmelCase    )
      _lowerCAmelCase					=				_sin / (2 * q_factor)

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

      _lowerCAmelCase					=				IIRFilter(2    )
      filt.set_coefficients([ba, ba, ba]				,      [ba, ba, ba]    )
      return filt
def   UpperCamelCase__ (						lowerCAmelCase				,      lowerCAmelCase				,      lowerCAmelCase				,      lowerCAmelCase = 1 / sqrt(2    )				,      ):





      """simple docstring"""


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

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

      _lowerCAmelCase					=				IIRFilter(2    )
      filt.set_coefficients([aa, aa, aa]				,      [ba, ba, ba]    )
      return filt
def   UpperCamelCase__ (						lowerCAmelCase				,      lowerCAmelCase				,      lowerCAmelCase				,      lowerCAmelCase = 1 / sqrt(2    )				,      ):





      """simple docstring"""


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

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

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





def   UpperCamelCase__ (						lowerCAmelCase				,      lowerCAmelCase				,      lowerCAmelCase				,      lowerCAmelCase = 1 / sqrt(2    )				,      ):





      """simple docstring"""


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

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

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













'''simple docstring'''






def   UpperCamelCase__ (						lowerCAmelCase				,      lowerCAmelCase    ):





      """simple docstring"""


      _lowerCAmelCase					=				""""""
      for word_or_phrase in separated:
            if not isinstance(lowerCAmelCase				,      lowerCAmelCase    ):
                  raise Exception("""join() accepts only strings to be joined"""    )
            joined += word_or_phrase + separator
      return joined.strip(lowerCAmelCase    )


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

      testmod()






