




"""simple docstring"""







from math import factorial

class 				snake_case_			:







   """simple docstring"""




   def __init__(		self       ,					lowerCamelCase_       ,					lowerCamelCase_)				->   str:
       UpperCamelCase              =	real
       if isinstance(lowerCamelCase_       ,					lowerCamelCase_):
           UpperCamelCase              =	[1] * rank
       else:
           UpperCamelCase              =	rank







   def __repr__(		self)				->   Any:
       return (
           F'{self.real}+'
           F'{"+".join(str(lowerCamelCase_)+"E"+str(n+1)for n,dual in enumerate(self.duals))}'
       )







   def   UpperCAmelCase__			(		self)				->   Optional[Any]:
       UpperCamelCase              =	self.duals.copy()
       while cur[-1] == 0:
           cur.pop(-1)
       return Dual(self.real       ,					lowerCamelCase_)







   def __add__(		self       ,					lowerCamelCase_)				->   List[str]:
       if not isinstance(lowerCamelCase_       ,					lowerCamelCase_):
           return Dual(self.real + other       ,					self.duals)
       UpperCamelCase              =	self.duals.copy()
       UpperCamelCase              =	other.duals.copy()
       if len(lowerCamelCase_) > len(lowerCamelCase_):
           o_dual.extend([1] * (len(lowerCamelCase_) - len(lowerCamelCase_)))
       elif len(lowerCamelCase_) < len(lowerCamelCase_):
           s_dual.extend([1] * (len(lowerCamelCase_) - len(lowerCamelCase_)))
       UpperCamelCase              =	[]
       for i in range(len(lowerCamelCase_)):
           new_duals.append(s_dual[i] + o_dual[i])
       return Dual(self.real + other.real       ,					lowerCamelCase_)

   A_				      =       __add__







   def __sub__(		self       ,					lowerCamelCase_)				->   str:
       return self + other * -1







   def __mul__(		self       ,					lowerCamelCase_)				->   Union[str, Any]:
       if not isinstance(lowerCamelCase_       ,					lowerCamelCase_):
           UpperCamelCase              =	[]
           for i in self.duals:
               new_duals.append(i * other)
           return Dual(self.real * other       ,					lowerCamelCase_)
       UpperCamelCase              =	[0] * (len(self.duals) + len(other.duals) + 1)
       for i, item in enumerate(self.duals):
           for j, jtem in enumerate(other.duals):
               new_duals[i + j + 1] += item * jtem
       for k in range(len(self.duals)):
           new_duals[k] += self.duals[k] * other.real
       for index in range(len(other.duals)):
           new_duals[index] += other.duals[index] * self.real
       return Dual(self.real * other.real       ,					lowerCamelCase_)

   A_				      =       __mul__







   def __truediv__(		self       ,					lowerCamelCase_)				->   List[str]:
       if not isinstance(lowerCamelCase_       ,					lowerCamelCase_):
           UpperCamelCase              =	[]
           for i in self.duals:
               new_duals.append(i / other)
           return Dual(self.real / other       ,					lowerCamelCase_)
       raise ValueError







   def __floordiv__(		self       ,					lowerCamelCase_)				->   Optional[Any]:
       if not isinstance(lowerCamelCase_       ,					lowerCamelCase_):
           UpperCamelCase              =	[]
           for i in self.duals:
               new_duals.append(i // other)
           return Dual(self.real // other       ,					lowerCamelCase_)
       raise ValueError







   def __pow__(		self       ,					lowerCamelCase_)				->   str:
       if n < 0 or isinstance(lowerCamelCase_       ,					lowerCamelCase_):
           raise ValueError('''power must be a positive integer''')
       if n == 0:
           return 1
       if n == 1:
           return self
       UpperCamelCase              =	self
       for _ in range(n - 1):
           x *= self
       return x





def      __snake_case (				_lowercase			,_lowercase			,_lowercase    ):


    """simple docstring"""







    if not callable(_lowercase    ):
        raise ValueError('''differentiate() requires a function as input for func'''    )
    if not isinstance(_lowercase			,(float, int)    ):
        raise ValueError('''differentiate() requires a float as input for position'''    )
    if not isinstance(_lowercase			,_lowercase    ):
        raise ValueError('''differentiate() requires an int as input for order'''    )
    UpperCamelCase              =	Dual(_lowercase			,1    )
    UpperCamelCase              =	func(_lowercase    )
    if order == 0:
        return result.real
    return result.duals[order - 1] * factorial(_lowercase    )


if __name__ == "__main__":
  import doctest

  doctest.testmod()





  def      __snake_case (				_lowercase    ):


      """simple docstring"""







      return y**2 * y**4


  print(differentiate(f, 9, 2))







import os
from shutil import copyfile
from typing import Any, Dict, List, Optional, Tuple

import sentencepiece as spm

from ...tokenization_utils import PreTrainedTokenizer
from ...utils import logging


SCREAMING_SNAKE_CASE__   :      str				=		logging.get_logger(__name__)


SCREAMING_SNAKE_CASE__   :      Tuple				=		"""▁"""

SCREAMING_SNAKE_CASE__   :      Union[str, Any]				=		{"""vocab_file""": """spiece.model"""}

SCREAMING_SNAKE_CASE__   :      List[Any]				=		{
    """vocab_file""": {
        """google/reformer-crime-and-punishment""": (
            """https://huggingface.co/google/reformer-crime-and-punishment/resolve/main/spiece.model"""
        )
    }
}

SCREAMING_SNAKE_CASE__   :      Optional[int]				=		{
    """google/reformer-crime-and-punishment""": 52_42_88,
}
class     lowerCamelCase_					(   lowerCamelCase			):
				a__       							=	VOCAB_FILES_NAMES
				a__       							=	PRETRAINED_VOCAB_FILES_MAP
				a__       							=	PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
				a__       							=	['''input_ids''', '''attention_mask''']







				def __init__(    self							,       __lowerCAmelCase							,       __lowerCAmelCase="</s>"							,       __lowerCAmelCase="<unk>"							,       __lowerCAmelCase=[]							,       __lowerCAmelCase = None							,       **__lowerCAmelCase							,       ):
								"""simple docstring"""
								__magic_name__		:int   =   {} if sp_model_kwargs is None else sp_model_kwargs

								super().__init__(
								    eos_token=__lowerCAmelCase							,       unk_token=__lowerCAmelCase							,       additional_special_tokens=__lowerCAmelCase							,       sp_model_kwargs=self.sp_model_kwargs							,       **__lowerCAmelCase							,       )

								__magic_name__		:Optional[Any]   =   vocab_file
								__magic_name__		:int   =   spm.SentencePieceProcessor(**self.sp_model_kwargs  )
								self.sp_model.Load(__lowerCAmelCase  )







				@property
				def       A						(    self  ):
								"""simple docstring"""
								return self.sp_model.get_piece_size()







				def       A						(    self  ):
								"""simple docstring"""
								__magic_name__		:str   =   {self.convert_ids_to_tokens(__lowerCAmelCase  ): i for i in range(self.vocab_size  )}
								vocab.update(self.added_tokens_encoder  )
								return vocab







				def __getstate__(    self  ):
								"""simple docstring"""
								__magic_name__		:Optional[Any]   =   self.__dict__.copy()
								__magic_name__		:Optional[Any]   =   None
								return state







				def __setstate__(    self							,       __lowerCAmelCase  ):
								"""simple docstring"""
								__magic_name__		:Any   =   d

								# for backward compatibility
								if not hasattr(self							,       '''sp_model_kwargs'''  ):
												__magic_name__		:Optional[int]   =   {}

								__magic_name__		:Union[str, Any]   =   spm.SentencePieceProcessor(**self.sp_model_kwargs  )
								self.sp_model.Load(self.vocab_file  )







				def       A						(    self							,       __lowerCAmelCase  ):
								"""simple docstring"""
								return self.sp_model.encode(__lowerCAmelCase							,       out_type=__lowerCAmelCase  )







				def       A						(    self							,       __lowerCAmelCase  ):
								"""simple docstring"""
								return self.sp_model.piece_to_id(__lowerCAmelCase  )







				def       A						(    self							,       __lowerCAmelCase  ):
								"""simple docstring"""
								if index < self.sp_model.get_piece_size():
												__magic_name__		:int   =   self.sp_model.IdToPiece(__lowerCAmelCase  )
								return token







				def       A						(    self							,       __lowerCAmelCase  ):
								"""simple docstring"""
								__magic_name__		:Optional[Any]   =   []
								__magic_name__		:Tuple   =   ''''''
								for token in tokens:
												# make sure that special tokens are not decoded using sentencepiece model
												if token in self.all_special_tokens:
																out_string += self.sp_model.decode(__lowerCAmelCase  ) + token
																__magic_name__		:Optional[Any]   =   []
												else:
																current_sub_tokens.append(__lowerCAmelCase  )
								out_string += self.sp_model.decode(__lowerCAmelCase  )
								return out_string.strip()







				def       A						(    self							,       __lowerCAmelCase							,       __lowerCAmelCase = None  ):
								"""simple docstring"""
								if not os.path.isdir(__lowerCAmelCase  ):
												logger.error(F'''Vocabulary path ({save_directory}) should be a directory'''  )
												return
								__magic_name__		:Optional[int]   =   os.path.join(
								    __lowerCAmelCase							,       (filename_prefix + '''-''' if filename_prefix else '''''') + VOCAB_FILES_NAMES['''vocab_file''']  )

								if os.path.abspath(self.vocab_file  ) != os.path.abspath(__lowerCAmelCase  ) and os.path.isfile(self.vocab_file  ):
												copyfile(self.vocab_file							,       __lowerCAmelCase  )
								elif not os.path.isfile(self.vocab_file  ):
												with open(__lowerCAmelCase							,       '''wb'''  ) as fi:
																__magic_name__		:Dict   =   self.sp_model.serialized_model_proto()
																fi.write(__lowerCAmelCase  )

								return (out_vocab_file,)






