
from math import cos, sin, sqrt, tau

from audio_filters.iir_filter import IIRFilter


def 				A	( lowercase   ,	lowercase   ,	lowercase = 1 / sqrt(2			)			)       ->  IIRFilter:
		'''simple docstring'''

		UpperCamelCase          =					tau * frequency / samplerate
		UpperCamelCase          =					sin(lowercase			)
		UpperCamelCase          =					cos(lowercase			)
		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 				A	( lowercase   ,	lowercase   ,	lowercase = 1 / sqrt(2			)			)       ->  IIRFilter:
		'''simple docstring'''

		UpperCamelCase          =					tau * frequency / samplerate
		UpperCamelCase          =					sin(lowercase			)
		UpperCamelCase          =					cos(lowercase			)
		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 				A	( lowercase   ,	lowercase   ,	lowercase = 1 / sqrt(2			)			)       ->  IIRFilter:
		'''simple docstring'''

		UpperCamelCase          =					tau * frequency / samplerate
		UpperCamelCase          =					sin(lowercase			)
		UpperCamelCase          =					cos(lowercase			)
		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 				A	( lowercase   ,	lowercase   ,	lowercase = 1 / sqrt(2			)			)       ->  IIRFilter:
		'''simple docstring'''

		UpperCamelCase          =					tau * frequency / samplerate
		UpperCamelCase          =					sin(lowercase			)
		UpperCamelCase          =					cos(lowercase			)
		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 				A	( lowercase   ,	lowercase   ,	lowercase   ,	lowercase = 1 / sqrt(2			)   ,	)       ->  IIRFilter:
		'''simple docstring'''

		UpperCamelCase          =					tau * frequency / samplerate
		UpperCamelCase          =					sin(lowercase			)
		UpperCamelCase          =					cos(lowercase			)
		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 				A	( lowercase   ,	lowercase   ,	lowercase   ,	lowercase = 1 / sqrt(2			)   ,	)       ->  IIRFilter:
		'''simple docstring'''

		UpperCamelCase          =					tau * frequency / samplerate
		UpperCamelCase          =					sin(lowercase			)
		UpperCamelCase          =					cos(lowercase			)
		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(lowercase			) * 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 				A	( lowercase   ,	lowercase   ,	lowercase   ,	lowercase = 1 / sqrt(2			)   ,	)       ->  IIRFilter:
		'''simple docstring'''

		UpperCamelCase          =					tau * frequency / samplerate
		UpperCamelCase          =					sin(lowercase			)
		UpperCamelCase          =					cos(lowercase			)
		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(lowercase			) * 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


from typing import Optional, Union

import torch
from torch import nn

from ...configuration_utils import ConfigMixin, register_to_config
from ...models.modeling_utils import ModelMixin


class     lowercase (		_SCREAMING_SNAKE_CASE  ,       _SCREAMING_SNAKE_CASE       ):



		@register_to_config
		def __init__(			self    ,				A_ = 768    ,				)  -> List[Any]:
				"""simple docstring"""
				super().__init__()

				UpperCamelCase          =					nn.Parameter(torch.zeros(1    ,				A_	)	)
				UpperCamelCase          =					nn.Parameter(torch.ones(1    ,				A_	)	)



		def __UpperCamelCase			(			self    ,				A_ = None    ,				A_ = None    ,				)  -> Any:
				"""simple docstring"""
				UpperCamelCase          =					nn.Parameter(self.mean.to(A_	).to(A_	)	)
				UpperCamelCase          =					nn.Parameter(self.std.to(A_	).to(A_	)	)
				return self



		def __UpperCamelCase			(			self    ,				A_	)  -> Dict:
				"""simple docstring"""
				UpperCamelCase          =					(embeds - self.mean) * 1.0 / self.std
				return embeds



		def __UpperCamelCase			(			self    ,				A_	)  -> Dict:
				"""simple docstring"""
				UpperCamelCase          =					(embeds * self.std) + self.mean
				return embeds
