





import torch
import torch.nn as nn
from transformers.modeling_utils import ModuleUtilsMixin
from transformers.models.ta.modeling_ta import TaBlock, TaConfig, TaLayerNorm

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



class 					A__   (       __snake_case       ,   __snake_case       ,   __snake_case			):





      @register_to_config
      def __init__( self       ,							A_       ,							A_       ,							A_       ,							A_       ,							A_       ,							A_       ,							A_       ,							A_       ,							A_       ,							A_ = False       ,							):
       '''simple docstring'''




       super().__init__()

       UpperCamelCase	:					Dict       	=   nn.Embedding(SCREAMING_SNAKE_CASE_       ,							SCREAMING_SNAKE_CASE_   )

       UpperCamelCase	:					Optional[int]       	=   nn.Embedding(SCREAMING_SNAKE_CASE_       ,							SCREAMING_SNAKE_CASE_   )
       UpperCamelCase	:					Optional[int]       	=   False

       UpperCamelCase	:					List[str]       	=   nn.Dropout(p=SCREAMING_SNAKE_CASE_   )

       UpperCamelCase	:					int       	=   TaConfig(
           vocab_size=SCREAMING_SNAKE_CASE_       ,							d_model=SCREAMING_SNAKE_CASE_       ,							num_heads=SCREAMING_SNAKE_CASE_       ,							d_kv=SCREAMING_SNAKE_CASE_       ,							d_ff=SCREAMING_SNAKE_CASE_       ,							dropout_rate=SCREAMING_SNAKE_CASE_       ,							feed_forward_proj=SCREAMING_SNAKE_CASE_       ,							is_decoder=SCREAMING_SNAKE_CASE_       ,							is_encoder_decoder=SCREAMING_SNAKE_CASE_       ,							)

       UpperCamelCase	:					Optional[int]       	=   nn.ModuleList()
       for lyr_num in range(SCREAMING_SNAKE_CASE_   ):
        UpperCamelCase	:					Optional[int]       	=   TaBlock(SCREAMING_SNAKE_CASE_   )
        self.encoders.append(SCREAMING_SNAKE_CASE_   )

       UpperCamelCase	:					Optional[Any]       	=   TaLayerNorm(SCREAMING_SNAKE_CASE_   )
       UpperCamelCase	:					List[str]       	=   nn.Dropout(p=SCREAMING_SNAKE_CASE_   )





      def        __UpperCamelCase( self       ,							A_       ,							A_   ):
       '''simple docstring'''




       UpperCamelCase	:					Tuple       	=   self.token_embedder(SCREAMING_SNAKE_CASE_   )

       UpperCamelCase	:					Tuple       	=   encoder_input_tokens.shape[1]
       UpperCamelCase	:					Union[str, Any]       	=   torch.arange(SCREAMING_SNAKE_CASE_       ,							device=encoder_input_tokens.device   )
       x += self.position_encoding(SCREAMING_SNAKE_CASE_   )

       UpperCamelCase	:					Union[str, Any]       	=   self.dropout_pre(SCREAMING_SNAKE_CASE_   )

       # inverted the attention mask
       UpperCamelCase	:					Optional[Any]       	=   encoder_input_tokens.size()
       UpperCamelCase	:					Optional[int]       	=   self.get_extended_attention_mask(SCREAMING_SNAKE_CASE_       ,							SCREAMING_SNAKE_CASE_   )

       for lyr in self.encoders:
        UpperCamelCase	:					Any       	=   lyr(SCREAMING_SNAKE_CASE_       ,							SCREAMING_SNAKE_CASE_   )[0]
       UpperCamelCase	:					List[Any]       	=   self.layer_norm(SCREAMING_SNAKE_CASE_   )

       return self.dropout_post(SCREAMING_SNAKE_CASE_   ), encoder_inputs_mask


from __future__ import annotations

from collections.abc import MutableSequence
class  lowercase__:



	"""simple docstring"""




	def __init__(       self  :			Optional[Any]       ,							SCREAMING_SNAKE_CASE_  :			int       ,							SCREAMING_SNAKE_CASE_  :			MutableSequence[float]       )       ->     None:
					if len(SCREAMING_SNAKE_CASE_       ) != degree + 1:
									raise ValueError(
									    '''The number of coefficients should be equal to the degree + 1.'''       )

					lowercase_       =					list(SCREAMING_SNAKE_CASE_       )
					lowercase_       =					degree
	def __add__(       self  :			Any       ,							SCREAMING_SNAKE_CASE_  :			Polynomial       )       ->     Polynomial:

					if self.degree > polynomial_a.degree:
									lowercase_       =					self.coefficients[:]
									for i in range(polynomial_a.degree + 1       ):
													coefficients[i] += polynomial_a.coefficients[i]
									return Polynomial(self.degree       ,							SCREAMING_SNAKE_CASE_       )
					else:
									lowercase_       =					polynomial_a.coefficients[:]
									for i in range(self.degree + 1       ):
													coefficients[i] += self.coefficients[i]
									return Polynomial(polynomial_a.degree       ,							SCREAMING_SNAKE_CASE_       )
	def __sub__(       self  :			str       ,							SCREAMING_SNAKE_CASE_  :			Polynomial       )       ->     Polynomial:
					return self + polynomial_a * Polynomial(0       ,							[-1]       )
	def __neg__(       self  :			int       )       ->     Polynomial:
					return Polynomial(self.degree       ,							[-c for c in self.coefficients]       )
	def __mul__(       self  :			Any       ,							SCREAMING_SNAKE_CASE_  :			Polynomial       )       ->     Polynomial:
					lowercase_       =					[0] * (self.degree + polynomial_a.degree + 1)
					for i in range(self.degree + 1       ):
									for j in range(polynomial_a.degree + 1       ):
													coefficients[i + j] += (
													    self.coefficients[i] * polynomial_a.coefficients[j]
													)

					return Polynomial(self.degree + polynomial_a.degree       ,							SCREAMING_SNAKE_CASE_       )
	def 						_lowercase  (       self  :			Dict       ,							SCREAMING_SNAKE_CASE_  :			int | float       )       ->     int | float:
					lowercase_       =					0
					for i in range(self.degree + 1       ):
									result += self.coefficients[i] * (substitution**i)
					return result
	def __str__(       self  :			Tuple       )       ->     str:
					lowercase_       =					''''''
					for i in range(self.degree       ,							-1       ,							-1       ):
									if self.coefficients[i] == 0:
													continue
									elif self.coefficients[i] > 0:
													if polynomial:
																	polynomial += " + "
									else:
													polynomial += " - "

									if i == 0:
													polynomial += str(abs(self.coefficients[i]       )       )
									elif i == 1:
													polynomial += str(abs(self.coefficients[i]       )       ) + "x"
									else:
													polynomial += str(abs(self.coefficients[i]       )       ) + "x^" + str(SCREAMING_SNAKE_CASE_       )

					return polynomial
	def __repr__(       self  :			Optional[Any]       )       ->     str:
					return self.__str__()
	def 						_lowercase  (       self  :			int       )       ->     Polynomial:
					lowercase_       =					[0] * self.degree
					for i in range(self.degree       ):
									lowercase_       =					self.coefficients[i + 1] * (i + 1)
					return Polynomial(self.degree - 1       ,							SCREAMING_SNAKE_CASE_       )
	def 						_lowercase  (       self  :			List[str]       ,							SCREAMING_SNAKE_CASE_  :			int | float = 0       )       ->     Polynomial:
					lowercase_       =					[0] * (self.degree + 2)
					lowercase_       =					constant
					for i in range(self.degree + 1       ):
									lowercase_       =					self.coefficients[i] / (i + 1)
					return Polynomial(self.degree + 1       ,							SCREAMING_SNAKE_CASE_       )
	def __eq__(       self  :			str       ,							SCREAMING_SNAKE_CASE_  :			object       )       ->     bool:
					if not isinstance(SCREAMING_SNAKE_CASE_       ,							SCREAMING_SNAKE_CASE_       ):
									return False

					if self.degree != polynomial_a.degree:
									return False

					for i in range(self.degree + 1       ):
									if self.coefficients[i] != polynomial_a.coefficients[i]:
													return False

					return True




	def __ne__(       self  :			List[str]       ,							SCREAMING_SNAKE_CASE_  :			object       )       ->     bool:
					return not self.__eq__(SCREAMING_SNAKE_CASE_       )




