




"""simple docstring"""





import torch

from transformers import AutoModel



class      a__				(	torch.nn.Module   ):


			def __init__(      self      :    Optional[int]      ,  UpperCamelCase_      :    List[Any]="sayef/fsner-bert-base-uncased"):


						"""simple docstring"""




						super(UpperCamelCase_      ,  self).__init__()

						__UpperCAmelCase	: List[str]		=					AutoModel.from_pretrained(UpperCamelCase_      ,  return_dict=UpperCamelCase_)
						__UpperCAmelCase	: List[Any]		=					torch.nn.CosineSimilarity(3      ,  1e-08)
						__UpperCAmelCase	: List[str]		=					torch.nn.Softmax(dim=1)


			def       a_     (      self      :    Optional[Any]      ,  **UpperCamelCase_      :    Any):


						"""simple docstring"""




						return self.bert(**UpperCamelCase_).last_hidden_state


			def       a_     (      self      :    List[Any]      ,  UpperCamelCase_      :    Tuple):


						"""simple docstring"""




						return token_embeddings.sum(2      ,  keepdim=UpperCamelCase_)


			def       a_     (      self      :    int      ,  UpperCamelCase_      :    int      ,  UpperCamelCase_      :    Union[str, Any]      ,  UpperCamelCase_      :    List[str]=1):


						"""simple docstring"""




						return self.softmax(T * self.cos(UpperCamelCase_      ,  UpperCamelCase_))


			def       a_     (      self      :    List[Any]      ,  UpperCamelCase_      :    Any      ,  UpperCamelCase_      :    List[str]):


						"""simple docstring"""




						__UpperCAmelCase	: str		=					W_supports["sizes"].tolist()
						__UpperCAmelCase	: Dict		=					W_supports["start_token_id"].item()
						__UpperCAmelCase	: int		=					W_supports["end_token_id"].item()

						del W_supports["sizes"]
						del W_supports["start_token_id"]
						del W_supports["end_token_id"]

						__UpperCAmelCase	: str		=					self.BERT(**UpperCamelCase_)
						__UpperCAmelCase	: List[str]		=					self.BERT(**UpperCamelCase_)

						__UpperCAmelCase	: List[str]		=					None
						__UpperCAmelCase	: List[Any]		=					None

						__UpperCAmelCase	: List[str]		=					W_supports["input_ids"] == start_token_id
						__UpperCAmelCase	: int		=					W_supports["input_ids"] == end_token_id

						for i, size in enumerate(UpperCamelCase_):
									if i == 0:
												__UpperCAmelCase	: Tuple		=					0
									else:
												__UpperCAmelCase	: Optional[Any]		=					support_sizes[i - 1]

									__UpperCAmelCase	: List[Any]		=					S[s : s + size][start_token_masks[s : s + size]]
									__UpperCAmelCase	: Optional[Any]		=					S[s : s + size][end_token_masks[s : s + size]]

									__UpperCAmelCase	: Dict		=					torch.matmul(q[i]      ,  s_start.T).sum(1).softmax(0)
									__UpperCAmelCase	: Any		=					torch.matmul(q[i]      ,  s_end.T).sum(1).softmax(0)

									if p_starts is not None:
												__UpperCAmelCase	: Tuple		=					torch.vstack((p_starts, p_start))
												__UpperCAmelCase	: Tuple		=					torch.vstack((p_ends, p_end))
									else:
												__UpperCAmelCase	: List[str]		=					p_start
												__UpperCAmelCase	: Tuple		=					p_end

						return p_starts, p_ends








"""simple docstring"""





from math import cos, sin, sqrt, tau

from audio_filters.iir_filter import IIRFilter

def 					_UpperCamelCase    (			UpperCamelCase				,       UpperCamelCase				,       UpperCamelCase = 1 / sqrt(2							)							)			->			IIRFilter:


			"""simple docstring"""
			__UpperCAmelCase	: List[str]		=					tau * frequency / samplerate
			__UpperCAmelCase	: Optional[int]		=					sin(UpperCamelCase							)
			__UpperCAmelCase	: Any		=					cos(UpperCamelCase							)
			__UpperCAmelCase	: Tuple		=					_sin / (2 * q_factor)

			__UpperCAmelCase	: Optional[Any]		=					(1 - _cos) / 2
			__UpperCAmelCase	: Any		=					1 - _cos

			__UpperCAmelCase	: List[str]		=					1 + alpha
			__UpperCAmelCase	: List[Any]		=					-2 * _cos
			__UpperCAmelCase	: Dict		=					1 - alpha

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

def 					_UpperCamelCase    (			UpperCamelCase				,       UpperCamelCase				,       UpperCamelCase = 1 / sqrt(2							)							)			->			IIRFilter:


			"""simple docstring"""
			__UpperCAmelCase	: int		=					tau * frequency / samplerate
			__UpperCAmelCase	: Optional[Any]		=					sin(UpperCamelCase							)
			__UpperCAmelCase	: Dict		=					cos(UpperCamelCase							)
			__UpperCAmelCase	: Tuple		=					_sin / (2 * q_factor)

			__UpperCAmelCase	: Dict		=					(1 + _cos) / 2
			__UpperCAmelCase	: Tuple		=					-1 - _cos

			__UpperCAmelCase	: Any		=					1 + alpha
			__UpperCAmelCase	: int		=					-2 * _cos
			__UpperCAmelCase	: int		=					1 - alpha

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

def 					_UpperCamelCase    (			UpperCamelCase				,       UpperCamelCase				,       UpperCamelCase = 1 / sqrt(2							)							)			->			IIRFilter:


			"""simple docstring"""
			__UpperCAmelCase	: Tuple		=					tau * frequency / samplerate
			__UpperCAmelCase	: Tuple		=					sin(UpperCamelCase							)
			__UpperCAmelCase	: List[str]		=					cos(UpperCamelCase							)
			__UpperCAmelCase	: List[Any]		=					_sin / (2 * q_factor)

			__UpperCAmelCase	: Any		=					_sin / 2
			__UpperCAmelCase	: Optional[int]		=					0
			__UpperCAmelCase	: int		=					-ba

			__UpperCAmelCase	: Dict		=					1 + alpha
			__UpperCAmelCase	: List[str]		=					-2 * _cos
			__UpperCAmelCase	: int		=					1 - alpha

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

def 					_UpperCamelCase    (			UpperCamelCase				,       UpperCamelCase				,       UpperCamelCase = 1 / sqrt(2							)							)			->			IIRFilter:


			"""simple docstring"""
			__UpperCAmelCase	: str		=					tau * frequency / samplerate
			__UpperCAmelCase	: List[Any]		=					sin(UpperCamelCase							)
			__UpperCAmelCase	: Any		=					cos(UpperCamelCase							)
			__UpperCAmelCase	: List[str]		=					_sin / (2 * q_factor)

			__UpperCAmelCase	: Optional[Any]		=					1 - alpha
			__UpperCAmelCase	: Tuple		=					-2 * _cos
			__UpperCAmelCase	: List[Any]		=					1 + alpha

			__UpperCAmelCase	: str		=					IIRFilter(2							)
			filt.set_coefficients([ba, ba, ba]				,       [ba, ba, ba]							)
			return filt

def 					_UpperCamelCase    (			UpperCamelCase				,       UpperCamelCase				,       UpperCamelCase				,       UpperCamelCase = 1 / sqrt(2							)				,       )			->			IIRFilter:


			"""simple docstring"""
			__UpperCAmelCase	: Dict		=					tau * frequency / samplerate
			__UpperCAmelCase	: Optional[int]		=					sin(UpperCamelCase							)
			__UpperCAmelCase	: Optional[Any]		=					cos(UpperCamelCase							)
			__UpperCAmelCase	: List[Any]		=					_sin / (2 * q_factor)
			__UpperCAmelCase	: List[Any]		=					10 ** (gain_db / 40)

			__UpperCAmelCase	: List[str]		=					1 + alpha * big_a
			__UpperCAmelCase	: Optional[Any]		=					-2 * _cos
			__UpperCAmelCase	: int		=					1 - alpha * big_a
			__UpperCAmelCase	: Optional[int]		=					1 + alpha / big_a
			__UpperCAmelCase	: Union[str, Any]		=					-2 * _cos
			__UpperCAmelCase	: Dict		=					1 - alpha / big_a

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

def 					_UpperCamelCase    (			UpperCamelCase				,       UpperCamelCase				,       UpperCamelCase				,       UpperCamelCase = 1 / sqrt(2							)				,       )			->			IIRFilter:


			"""simple docstring"""
			__UpperCAmelCase	: str		=					tau * frequency / samplerate
			__UpperCAmelCase	: int		=					sin(UpperCamelCase							)
			__UpperCAmelCase	: Optional[Any]		=					cos(UpperCamelCase							)
			__UpperCAmelCase	: str		=					_sin / (2 * q_factor)
			__UpperCAmelCase	: str		=					10 ** (gain_db / 40)
			__UpperCAmelCase	: Union[str, Any]		=					(big_a + 1) - (big_a - 1) * _cos
			__UpperCAmelCase	: Optional[int]		=					(big_a + 1) + (big_a - 1) * _cos
			__UpperCAmelCase	: List[str]		=					(big_a - 1) - (big_a + 1) * _cos
			__UpperCAmelCase	: List[Any]		=					(big_a - 1) + (big_a + 1) * _cos
			__UpperCAmelCase	: Optional[Any]		=					2 * sqrt(UpperCamelCase							) * alpha

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

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





def 					_UpperCamelCase    (			UpperCamelCase				,       UpperCamelCase				,       UpperCamelCase				,       UpperCamelCase = 1 / sqrt(2							)				,       )			->			IIRFilter:


			"""simple docstring"""
			__UpperCAmelCase	: Dict		=					tau * frequency / samplerate
			__UpperCAmelCase	: Optional[int]		=					sin(UpperCamelCase							)
			__UpperCAmelCase	: Dict		=					cos(UpperCamelCase							)
			__UpperCAmelCase	: str		=					_sin / (2 * q_factor)
			__UpperCAmelCase	: int		=					10 ** (gain_db / 40)
			__UpperCAmelCase	: Optional[Any]		=					(big_a + 1) - (big_a - 1) * _cos
			__UpperCAmelCase	: Optional[int]		=					(big_a + 1) + (big_a - 1) * _cos
			__UpperCAmelCase	: Union[str, Any]		=					(big_a - 1) - (big_a + 1) * _cos
			__UpperCAmelCase	: Tuple		=					(big_a - 1) + (big_a + 1) * _cos
			__UpperCAmelCase	: Optional[Any]		=					2 * sqrt(UpperCamelCase							) * alpha

			__UpperCAmelCase	: Tuple		=					big_a * (ppmc + aaa)
			__UpperCAmelCase	: Any		=					-2 * big_a * pmpc
			__UpperCAmelCase	: int		=					big_a * (ppmc - aaa)
			__UpperCAmelCase	: int		=					pmc + aaa
			__UpperCAmelCase	: Tuple		=					2 * mpc
			__UpperCAmelCase	: Union[str, Any]		=					pmc - aaa

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


