





'''simple docstring'''

from __future__ import annotations

from collections.abc import MutableSequence






class   UpperCAmelCase      :
 def __init__(							self :Union[str, Any]		,			lowercase_ :int		,			lowercase_ :MutableSequence[float]				)->				None:
     if len(lowercase_				) != degree + 1:
         raise ValueError(
             "The number of coefficients should be equal to the degree + 1."				)

     A__							=     list(lowercase_				)
     A__							=     degree
 def __add__(							self :Optional[Any]		,			lowercase_ :Polynomial				)->				Polynomial:

     if self.degree > polynomial_a.degree:
         A__							=     self.coefficients[:]
         for i in range(polynomial_a.degree + 1				):
             coefficients[i] += polynomial_a.coefficients[i]
         return Polynomial(self.degree		,			lowercase_				)
     else:
         A__							=     polynomial_a.coefficients[:]
         for i in range(self.degree + 1				):
             coefficients[i] += self.coefficients[i]
         return Polynomial(polynomial_a.degree		,			lowercase_				)
 def __sub__(							self :Dict		,			lowercase_ :Polynomial				)->				Polynomial:
     return self + polynomial_a * Polynomial(0		,			[-1]				)
 def __neg__(							self :Optional[Any]				)->				Polynomial:
     return Polynomial(self.degree		,			[-c for c in self.coefficients]				)
 def __mul__(							self :Optional[Any]		,			lowercase_ :Polynomial				)->				Polynomial:
     A__							=     [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		,			lowercase_				)
 def 	UpperCAmelCase_				(							self :List[str]		,			lowercase_ :int | float				)->				int | float:
     A__							=     0
     for i in range(self.degree + 1				):
         result += self.coefficients[i] * (substitution**i)
     return result
 def __str__(							self :Optional[Any]				)->				str:
     A__							=     ""
     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(lowercase_				)

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










'''simple docstring'''

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   UpperCAmelCase      (			UpperCamelCase__     ,			UpperCamelCase__							):
 @register_to_config
 def __init__(							self :List[str]		,			lowercase_ :int = 7_68		,			)->				str:
     super().__init__()

     A__							=     nn.Parameter(torch.zeros(1		,			lowercase_				)				)
     A__							=     nn.Parameter(torch.ones(1		,			lowercase_				)				)
 def 	UpperCAmelCase_				(							self :List[Any]		,			lowercase_ :Optional[Union[str, torch.device]] = None		,			lowercase_ :Optional[torch.dtype] = None		,			)->				Tuple:
     A__							=     nn.Parameter(self.mean.to(lowercase_				).to(lowercase_				)				)
     A__							=     nn.Parameter(self.std.to(lowercase_				).to(lowercase_				)				)
     return self
 def 	UpperCAmelCase_				(							self :Optional[int]		,			lowercase_ :str				)->				Union[str, Any]:
     A__							=     (embeds - self.mean) * 1.0 / self.std
     return embeds



 def 	UpperCAmelCase_				(							self :Any		,			lowercase_ :List[Any]				)->				Tuple:
     A__							=     (embeds * self.std) + self.mean
     return embeds



