


from math import factorial

class       __magic_name__	:


     def __init__(      self							:     List[Any]							,	lowerCamelCase__							:     Any							,	lowerCamelCase__							:     Optional[Any]			)  ->      str:





      '''simple docstring'''






      UpperCamelCase__					:    str          =   real
      if isinstance(UpperCamelCase__							,	UpperCamelCase__			):
       UpperCamelCase__					:    Dict          =   [1] * rank
      else:
       UpperCamelCase__					:    Optional[int]          =   rank


     def __repr__(      self							:     int			)  ->      List[Any]:





      '''simple docstring'''






      return (
          F"{self.real}+"
          F"{'+'.join(str(UpperCamelCase__			)+'E'+str(n+1			)for n,dual in enumerate(self.duals			)			)}"
      )


     def      UpperCAmelCase__	(      self							:     Optional[Any]			)  ->      Any:





      '''simple docstring'''






      UpperCamelCase__					:    List[str]          =   self.duals.copy()
      while cur[-1] == 0:
       cur.pop(-1			)
      return Dual(self.real							,	UpperCamelCase__			)


     def __add__(      self							:     List[Any]							,	lowerCamelCase__							:     Optional[Any]			)  ->      str:





      '''simple docstring'''






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

     A:		int			=      __add__


     def __sub__(      self							:     Optional[int]							,	lowerCamelCase__							:     Union[str, Any]			)  ->      Tuple:





      '''simple docstring'''






      return self + other * -1


     def __mul__(      self							:     Any							,	lowerCamelCase__							:     str			)  ->      Tuple:





      '''simple docstring'''






      if not isinstance(UpperCamelCase__							,	UpperCamelCase__			):
       UpperCamelCase__					:    Union[str, Any]          =   []
       for i in self.duals:
        new_duals.append(i * other			)
       return Dual(self.real * other							,	UpperCamelCase__			)
      UpperCamelCase__					:    Optional[int]          =   [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							,	UpperCamelCase__			)

     A:		Optional[int]			=      __mul__


     def __truediv__(      self							:     Any							,	lowerCamelCase__							:     Dict			)  ->      Optional[Any]:





      '''simple docstring'''






      if not isinstance(UpperCamelCase__							,	UpperCamelCase__			):
       UpperCamelCase__					:    Any          =   []
       for i in self.duals:
        new_duals.append(i / other			)
       return Dual(self.real / other							,	UpperCamelCase__			)
      raise ValueError


     def __floordiv__(      self							:     Optional[int]							,	lowerCamelCase__							:     Union[str, Any]			)  ->      Dict:





      '''simple docstring'''






      if not isinstance(UpperCamelCase__							,	UpperCamelCase__			):
       UpperCamelCase__					:    Optional[Any]          =   []
       for i in self.duals:
        new_duals.append(i // other			)
       return Dual(self.real // other							,	UpperCamelCase__			)
      raise ValueError


     def __pow__(      self							:     Optional[int]							,	lowerCamelCase__							:     int			)  ->      Optional[int]:





      '''simple docstring'''






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



def 			_a  (				SCREAMING_SNAKE_CASE	:				List[str]    , SCREAMING_SNAKE_CASE	:				Optional[Any]    , SCREAMING_SNAKE_CASE	:				Any     ):







 """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__					:    List[Any]          =   Dual(_lowercase    , 1     )
 UpperCamelCase__					:    Dict          =   func(_lowercase     )
 if order == 0:
  return result.real
 return result.duals[order - 1] * factorial(_lowercase     )


if __name__ == "__main__":
       import doctest

       doctest.testmod()

       def 			_a  (				SCREAMING_SNAKE_CASE	:				List[str]     ):







        """simple docstring"""



        return y**2 * y**4






       print(differentiate(f, 9, 2))






import unittest

from transformers import BarthezTokenizer, BarthezTokenizerFast, BatchEncoding
from transformers.testing_utils import require_sentencepiece, require_tokenizers, require_torch, slow

from ...test_tokenization_common import TokenizerTesterMixin

@require_tokenizers
@require_sentencepiece
@slow  # see https://github.com/huggingface/transformers/issues/11457
class       __magic_name__	(     __lowerCAmelCase					,				unittest.TestCase):
     A:		Optional[int]			=      BarthezTokenizer
     A:		Optional[int]			=      BarthezTokenizerFast
     A:		str			=      True
     A:		Optional[int]			=      True


     def      UpperCAmelCase__	(      self							:     List[Any]			)  ->      str:





      '''simple docstring'''






      super().setUp()

      UpperCamelCase__					:    Optional[Any]          =   BarthezTokenizerFast.from_pretrained('''moussaKam/mbarthez'''			)
      tokenizer.save_pretrained(self.tmpdirname			)
      tokenizer.save_pretrained(self.tmpdirname							,	legacy_format=lowerCamelCase__			)
      UpperCamelCase__					:    int          =   tokenizer


     def      UpperCAmelCase__	(      self							:     Union[str, Any]			)  ->      str:





      '''simple docstring'''






      UpperCamelCase__					:    Optional[int]          =   '''<pad>'''
      UpperCamelCase__					:    List[str]          =   1

      self.assertEqual(self.get_tokenizer()._convert_token_to_id(lowerCamelCase__			)							,	lowerCamelCase__			)
      self.assertEqual(self.get_tokenizer()._convert_id_to_token(lowerCamelCase__			)							,	lowerCamelCase__			)


     def      UpperCAmelCase__	(      self							:     int			)  ->      Tuple:





      '''simple docstring'''






      UpperCamelCase__					:    int          =   list(self.get_tokenizer().get_vocab().keys()			)

      self.assertEqual(vocab_keys[0]							,	'''<s>'''			)
      self.assertEqual(vocab_keys[1]							,	'''<pad>'''			)
      self.assertEqual(vocab_keys[-1]							,	'''<mask>'''			)
      self.assertEqual(len(lowerCamelCase__			)							,	101122			)


     def      UpperCAmelCase__	(      self							:     Optional[Any]			)  ->      str:





      '''simple docstring'''






      self.assertEqual(self.get_tokenizer().vocab_size							,	101122			)


     @require_torch
     def      UpperCAmelCase__	(      self							:     Dict			)  ->      Tuple:





      '''simple docstring'''






      UpperCamelCase__					:    Dict          =   ['''A long paragraph for summarization.''', '''Another paragraph for summarization.''']
      UpperCamelCase__					:    Any          =   [0, 57, 3018, 70307, 91, 2]

      UpperCamelCase__					:    Optional[int]          =   self.tokenizer(
          lowerCamelCase__							,	max_length=len(lowerCamelCase__			)							,	padding=lowerCamelCase__							,	truncation=lowerCamelCase__							,	return_tensors='''pt'''			)
      self.assertIsInstance(lowerCamelCase__							,	lowerCamelCase__			)

      self.assertEqual((2, 6)							,	batch.input_ids.shape			)
      self.assertEqual((2, 6)							,	batch.attention_mask.shape			)
      UpperCamelCase__					:    List[Any]          =   batch.input_ids.tolist()[0]
      self.assertListEqual(lowerCamelCase__							,	lowerCamelCase__			)


     def      UpperCAmelCase__	(      self							:     str			)  ->      List[Any]:





      '''simple docstring'''






      if not self.test_rust_tokenizer:
       return

      UpperCamelCase__					:    List[Any]          =   self.get_tokenizer()
      UpperCamelCase__					:    Optional[int]          =   self.get_rust_tokenizer()

      UpperCamelCase__					:    Any          =   '''I was born in 92000, and this is falsé.'''

      UpperCamelCase__					:    List[str]          =   tokenizer.tokenize(lowerCamelCase__			)
      UpperCamelCase__					:    Tuple          =   rust_tokenizer.tokenize(lowerCamelCase__			)
      self.assertListEqual(lowerCamelCase__							,	lowerCamelCase__			)

      UpperCamelCase__					:    Tuple          =   tokenizer.encode(lowerCamelCase__							,	add_special_tokens=lowerCamelCase__			)
      UpperCamelCase__					:    str          =   rust_tokenizer.encode(lowerCamelCase__							,	add_special_tokens=lowerCamelCase__			)
      self.assertListEqual(lowerCamelCase__							,	lowerCamelCase__			)

      UpperCamelCase__					:    Tuple          =   self.get_rust_tokenizer()
      UpperCamelCase__					:    Optional[int]          =   tokenizer.encode(lowerCamelCase__			)
      UpperCamelCase__					:    str          =   rust_tokenizer.encode(lowerCamelCase__			)
      self.assertListEqual(lowerCamelCase__							,	lowerCamelCase__			)


     @slow
     def      UpperCAmelCase__	(      self							:     List[str]			)  ->      Dict:





      '''simple docstring'''






      UpperCamelCase__					:    Optional[int]          =   {'''input_ids''': [[0, 490, 14328, 4507, 354, 47, 43669, 95, 25, 78117, 20215, 19779, 190, 22, 400, 4, 35343, 80310, 603, 86, 24937, 105, 33438, 94762, 196, 39642, 7, 15, 15933, 173, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 10534, 87, 25, 66, 3358, 196, 55289, 8, 82961, 81, 2204, 75203, 7, 15, 763, 12956, 216, 178, 14328, 9595, 1377, 69693, 7, 448, 71021, 196, 18106, 1437, 13974, 108, 9083, 4, 49315, 7, 39, 86, 1326, 2793, 46333, 4, 448, 196, 74588, 7, 49315, 7, 39, 21, 822, 38470, 74, 21, 66723, 62480, 8, 22050, 5, 2]], '''attention_mask''': [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]]}  # noqa: E501
      # fmt: on

      # moussaKam/mbarthez is a french model. So we also use french texts.
      UpperCamelCase__					:    int          =   [
          '''Le transformeur est un modèle d\'apprentissage profond introduit en 2017, '''
          '''utilisé principalement dans le domaine du traitement automatique des langues (TAL).''',
          '''À l\'instar des réseaux de neurones récurrents (RNN), les transformeurs sont conçus '''
          '''pour gérer des données séquentielles, telles que le langage naturel, pour des tâches '''
          '''telles que la traduction et la synthèse de texte.''',
      ]

      self.tokenizer_integration_test_util(
          expected_encoding=lowerCamelCase__							,	model_name='''moussaKam/mbarthez'''							,	revision='''c2e4ecbca5e3cd2c37fe1ac285ca4fbdf1366fb6'''							,	sequences=lowerCamelCase__							,	)


