





from math import cos, sin, sqrt, tau

from audio_filters.iir_filter import IIRFilter


def     SCREAMING_SNAKE_CASE			(      lowerCAmelCase    ,       lowerCAmelCase    ,       lowerCAmelCase = 1 / sqrt(2					)					):
       _UpperCamelCase              =						tau * frequency / samplerate
       _UpperCamelCase              =						sin(lowerCAmelCase					)
       _UpperCamelCase              =						cos(lowerCAmelCase					)
       _UpperCamelCase              =						_sin / (2 * q_factor)

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

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

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


def     SCREAMING_SNAKE_CASE			(      lowerCAmelCase    ,       lowerCAmelCase    ,       lowerCAmelCase = 1 / sqrt(2					)					):
       _UpperCamelCase              =						tau * frequency / samplerate
       _UpperCamelCase              =						sin(lowerCAmelCase					)
       _UpperCamelCase              =						cos(lowerCAmelCase					)
       _UpperCamelCase              =						_sin / (2 * q_factor)

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

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

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


def     SCREAMING_SNAKE_CASE			(      lowerCAmelCase    ,       lowerCAmelCase    ,       lowerCAmelCase = 1 / sqrt(2					)					):
       _UpperCamelCase              =						tau * frequency / samplerate
       _UpperCamelCase              =						sin(lowerCAmelCase					)
       _UpperCamelCase              =						cos(lowerCAmelCase					)
       _UpperCamelCase              =						_sin / (2 * q_factor)

       _UpperCamelCase              =						_sin / 2
       _UpperCamelCase              =						0
       _UpperCamelCase              =						-ba

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

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


def     SCREAMING_SNAKE_CASE			(      lowerCAmelCase    ,       lowerCAmelCase    ,       lowerCAmelCase = 1 / sqrt(2					)					):
       _UpperCamelCase              =						tau * frequency / samplerate
       _UpperCamelCase              =						sin(lowerCAmelCase					)
       _UpperCamelCase              =						cos(lowerCAmelCase					)
       _UpperCamelCase              =						_sin / (2 * q_factor)

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

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


def     SCREAMING_SNAKE_CASE			(      lowerCAmelCase    ,       lowerCAmelCase    ,       lowerCAmelCase    ,       lowerCAmelCase = 1 / sqrt(2					)    ,       ):
       _UpperCamelCase              =						tau * frequency / samplerate
       _UpperCamelCase              =						sin(lowerCAmelCase					)
       _UpperCamelCase              =						cos(lowerCAmelCase					)
       _UpperCamelCase              =						_sin / (2 * q_factor)
       _UpperCamelCase              =						10 ** (gain_db / 40)

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

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


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

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

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


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

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

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













def     SCREAMING_SNAKE_CASE			(      lowerCAmelCase = 1_000					):
       _UpperCamelCase              =						3
       _UpperCamelCase              =						0
       while a < n:
              if a % 3 == 0 or a % 5 == 0:
                     result += a
              elif a % 15 == 0:
                     result -= a
              a += 1
       return result


if __name__ == "__main__":
       print(F'''{solution() = }''')






