




"""simple docstring"""


import unittest

from transformers import SPIECE_UNDERLINE, XLNetTokenizer, XLNetTokenizerFast
from transformers.testing_utils import get_tests_dir, require_sentencepiece, require_tokenizers, slow

from ...test_tokenization_common import TokenizerTesterMixin


A_      =    get_tests_dir('''fixtures/test_sentencepiece.model''')






@require_sentencepiece
@require_tokenizers
class  lowercase(					__a	,      unittest.TestCase			):







 '''simple docstring'''





 lowercase__			 = XLNetTokenizer
 lowercase__			 = XLNetTokenizerFast
 lowercase__			 = True
 lowercase__			 = True


 def 			UpperCamelCase_       (    self:		Tuple		):




   '''simple docstring'''



   super().setUp()

   # We have a SentencePiece fixture for testing
   _snake_case							:		List[Any]								=  XLNetTokenizer(a_,				keep_accents=a_		)
   tokenizer.sanitize_special_tokens()
   tokenizer.save_pretrained(self.tmpdirname		)


 def 			UpperCamelCase_       (    self:		Union[str, Any]		):




   '''simple docstring'''



   _snake_case							:		int								=  """<s>"""
   _snake_case							:		int								=  1

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


 def 			UpperCamelCase_       (    self:		List[Any]		):




   '''simple docstring'''



   _snake_case							:		Dict								=  list(self.get_tokenizer().get_vocab().keys()		)

   self.assertEqual(vocab_keys[0],				"""<unk>"""		)
   self.assertEqual(vocab_keys[1],				"""<s>"""		)
   self.assertEqual(vocab_keys[-1],				"""<eod>"""		)
   self.assertEqual(len(a_		),				1_006		)


 def 			UpperCamelCase_       (    self:		int		):




   '''simple docstring'''



   self.assertEqual(self.get_tokenizer().vocab_size,				1_000		)


 def 			UpperCamelCase_       (    self:		int		):




   '''simple docstring'''



   _snake_case							:		List[str]								=  XLNetTokenizer(a_,				keep_accents=a_		)

   _snake_case							:		str								=  tokenizer.tokenize("""This is a test"""		)
   self.assertListEqual(a_,				["""▁This""", """▁is""", """▁a""", """▁t""", """est"""]		)

   self.assertListEqual(tokenizer.convert_tokens_to_ids(a_		),				[285, 46, 10, 170, 382]		)

   _snake_case							:		Tuple								=  tokenizer.tokenize("""I was born in 92000, and this is falsé."""		)
   self.assertListEqual(
       a_,				[
           SPIECE_UNDERLINE + """I""",
           SPIECE_UNDERLINE + """was""",
           SPIECE_UNDERLINE + """b""",
           """or""",
           """n""",
           SPIECE_UNDERLINE + """in""",
           SPIECE_UNDERLINE + """""",
           """9""",
           """2""",
           """0""",
           """0""",
           """0""",
           """,""",
           SPIECE_UNDERLINE + """and""",
           SPIECE_UNDERLINE + """this""",
           SPIECE_UNDERLINE + """is""",
           SPIECE_UNDERLINE + """f""",
           """al""",
           """s""",
           """é""",
           """.""",
       ],				)
   _snake_case							:		Tuple								=  tokenizer.convert_tokens_to_ids(a_		)
   self.assertListEqual(a_,				[8, 21, 84, 55, 24, 19, 7, 0, 602, 347, 347, 347, 3, 12, 66, 46, 72, 80, 6, 0, 4]		)

   _snake_case							:		Tuple								=  tokenizer.convert_ids_to_tokens(a_		)
   self.assertListEqual(
       a_,				[
           SPIECE_UNDERLINE + """I""",
           SPIECE_UNDERLINE + """was""",
           SPIECE_UNDERLINE + """b""",
           """or""",
           """n""",
           SPIECE_UNDERLINE + """in""",
           SPIECE_UNDERLINE + """""",
           """<unk>""",
           """2""",
           """0""",
           """0""",
           """0""",
           """,""",
           SPIECE_UNDERLINE + """and""",
           SPIECE_UNDERLINE + """this""",
           SPIECE_UNDERLINE + """is""",
           SPIECE_UNDERLINE + """f""",
           """al""",
           """s""",
           """<unk>""",
           """.""",
       ],				)


 def 			UpperCamelCase_       (    self:		Union[str, Any]		):




   '''simple docstring'''



   _snake_case							:		List[Any]								=  XLNetTokenizer(a_,				do_lower_case=a_		)
   _snake_case							:		Optional[Any]								=  tokenizer.tokenize("""I was born in 92000, and this is falsé."""		)
   self.assertListEqual(
       a_,				[
           SPIECE_UNDERLINE + """""",
           """i""",
           SPIECE_UNDERLINE + """was""",
           SPIECE_UNDERLINE + """b""",
           """or""",
           """n""",
           SPIECE_UNDERLINE + """in""",
           SPIECE_UNDERLINE + """""",
           """9""",
           """2""",
           """0""",
           """0""",
           """0""",
           """,""",
           SPIECE_UNDERLINE + """and""",
           SPIECE_UNDERLINE + """this""",
           SPIECE_UNDERLINE + """is""",
           SPIECE_UNDERLINE + """f""",
           """al""",
           """se""",
           """.""",
       ],				)
   self.assertListEqual(tokenizer.tokenize("""H\u00E9llo"""		),				["""▁he""", """ll""", """o"""]		)


 def 			UpperCamelCase_       (    self:		Tuple		):




   '''simple docstring'''



   _snake_case							:		Optional[Any]								=  XLNetTokenizer(a_,				do_lower_case=a_		)
   _snake_case							:		Union[str, Any]								=  tokenizer.tokenize("""I was born in 92000, and this is falsé."""		)
   self.assertListEqual(
       a_,				[
           SPIECE_UNDERLINE + """I""",
           SPIECE_UNDERLINE + """was""",
           SPIECE_UNDERLINE + """b""",
           """or""",
           """n""",
           SPIECE_UNDERLINE + """in""",
           SPIECE_UNDERLINE + """""",
           """9""",
           """2""",
           """0""",
           """0""",
           """0""",
           """,""",
           SPIECE_UNDERLINE + """and""",
           SPIECE_UNDERLINE + """this""",
           SPIECE_UNDERLINE + """is""",
           SPIECE_UNDERLINE + """f""",
           """al""",
           """se""",
           """.""",
       ],				)


 @slow
 def 			UpperCamelCase_       (    self:		Any		):




   '''simple docstring'''



   _snake_case							:		List[str]								=  XLNetTokenizer.from_pretrained("""xlnet-base-cased"""		)

   _snake_case							:		List[Any]								=  tokenizer.encode("""sequence builders""",				add_special_tokens=a_		)
   _snake_case							:		Union[str, Any]								=  tokenizer.encode("""multi-sequence build""",				add_special_tokens=a_		)

   _snake_case							:		Union[str, Any]								=  tokenizer.build_inputs_with_special_tokens(a_		)
   _snake_case							:		Union[str, Any]								=  tokenizer.build_inputs_with_special_tokens(a_,				a_		)

   assert encoded_sentence == text + [4, 3]
   assert encoded_pair == text + [4] + text_a + [4, 3]


 @slow
 def 			UpperCamelCase_       (    self:		Dict		):




   '''simple docstring'''



   _snake_case							:		Union[str, Any]								=  {"""input_ids""": [[17, 21_442, 270, 17, 10, 14_645, 318, 34, 17, 4_546, 3_145, 787, 13, 7_752, 22_018, 23, 21, 17, 4_546, 3_145, 787, 13, 3_352, 14_431, 13, 5_500, 11, 1_176, 580, 13, 16_819, 4_797, 23, 17, 10, 17_135, 658, 19, 457, 7_932, 13, 184, 19, 3_154, 17_135, 6_468, 19, 1_404, 12_269, 19, 4_229, 5_356, 16_264, 46, 19, 17, 20_545, 10_395, 9, 9, 9, 11, 28, 6_421, 9_531, 20_729, 17, 10, 353, 17_022, 11, 21, 6_421, 9_531, 16_949, 17, 10, 11_509, 753, 11, 33, 95, 2_421, 7_385, 956, 14_431, 2_626, 25, 842, 7_385, 4_836, 21, 1_429, 2_272, 9_855, 3_120, 161, 24_738, 19, 13_203, 658, 218, 787, 21, 430, 18_482, 847, 2_637, 9, 4, 3], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 322, 22_178, 27, 1_064, 22, 956, 13, 11_101, 1_429, 5_854, 24_313, 18_953, 40, 422, 24_366, 68, 1_758, 37, 10_483, 14_257, 31, 207, 263, 21, 203, 3_773, 25, 71, 9_735, 9, 4, 3], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 32, 2_049, 3_442, 17, 13_894, 3_380, 23, 95, 18, 17_634, 2_288, 9, 4, 3]], """token_type_ids""": [[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, 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, 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, 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, 2], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 0, 0, 0, 2], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 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, 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, 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], [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, 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, 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, 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]]}  # noqa: E501
   # fmt: on

   self.tokenizer_integration_test_util(
       expected_encoding=a_,				model_name="""xlnet-base-cased""",				revision="""c841166438c31ec7ca9a106dee7bb312b73ae511""",				)








"""simple docstring"""


from __future__ import annotations

from math import gcd


def  UpperCAmelCase__	(snake_case__							: int		,       snake_case__							: int = 2		,       snake_case__							: int = 1		,       snake_case__							: int = 3		,       ):
  """simple docstring"""

  if num < 2:
    raise ValueError("""The input value cannot be less than 2"""   )

  # Because of the relationship between ``f(f(x))`` and ``f(x)``, this
  # algorithm struggles to find factors that are divisible by two.
  # As a workaround, we specifically check for two and even inputs.
  #   See: https://math.stackexchange.com/a/2856214/165820
  if num > 2 and num % 2 == 0:
    return 2

  # Pollard's Rho algorithm requires a function that returns pseudorandom
  # values between 0 <= X < ``num``.  It doesn't need to be random in the
  # sense that the output value is cryptographically secure or difficult
  # to calculate, it only needs to be random in the sense that all output
  # values should be equally likely to appear.
  # For this reason, Pollard suggested using ``f(x) = (x**2 - 1) % num``
  # However, the success of Pollard's algorithm isn't guaranteed and is
  # determined in part by the initial seed and the chosen random function.
  # To make retries easier, we will instead use ``f(x) = (x**2 + C) % num``
  # where ``C`` is a value that we can modify between each attempt.
  def rand_fn(snake_case__							: int		,       snake_case__							: int		,       snake_case__							: int   ) -> int:
    return (pow(snake_case__		,       2   ) + step) % modulus

  for _ in range(snake_case__   ):
    # These track the position within the cycle detection logic.
    _snake_case							:		Optional[int]								=  seed
    _snake_case							:		str								=  seed

    while True:
      # At each iteration, the tortoise moves one step and the hare moves two.
      _snake_case							:		Any								=  rand_fn(snake_case__		,       snake_case__		,       snake_case__   )
      _snake_case							:		Optional[Any]								=  rand_fn(snake_case__		,       snake_case__		,       snake_case__   )
      _snake_case							:		int								=  rand_fn(snake_case__		,       snake_case__		,       snake_case__   )

      # At some point both the tortoise and the hare will enter a cycle whose
      # length ``p`` is a divisor of ``num``.  Once in that cycle, at some point
      # the tortoise and hare will end up on the same value modulo ``p``.
      # We can detect when this happens because the position difference between
      # the tortoise and the hare will share a common divisor with ``num``.
      _snake_case							:		str								=  gcd(hare - tortoise		,       snake_case__   )

      if divisor == 1:
        # No common divisor yet, just keep searching.
        continue
      else:
        # We found a common divisor!
        if divisor == num:
          # Unfortunately, the divisor is ``num`` itself and is useless.
          break
        else:
          # The divisor is a nontrivial factor of ``num``!
          return divisor

        # If we made it here, then this attempt failed.
        # We need to pick a new starting seed for the tortoise and hare
        # in addition to a new step value for the random function.
        # To keep this example implementation deterministic, the
        # new values will be generated based on currently available
        # values instead of using something like ``random.randint``.

        # We can use the hare's position as the new seed.
        # This is actually what Richard Brent's the "optimized" variant does.
    _snake_case							:		Union[str, Any]								=  hare

    # The new step value for the random function can just be incremented.
    # At first the results will be similar to what the old function would
    # have produced, but the value will quickly diverge after a bit.
    step += 1

  # We haven't found a divisor within the requested number of attempts.
  # We were unlucky or ``num`` itself is actually prime.
  return None


if __name__ == "__main__":
     import argparse

     A_      =    argparse.ArgumentParser()
     parser.add_argument(
         '''num''',
         type=int,
         help='''The value to find a divisor of''',
     )
     parser.add_argument(
         '''--attempts''',
         type=int,
         default=3,
         help='''The number of attempts before giving up''',
     )
     A_      =    parser.parse_args()

     A_      =    pollard_rho(args.num, attempts=args.attempts)
     if divisor is None:
          print(F'''{args.num} is probably prime''')
     else:
          A_      =    args.num // divisor
          print(F'''{args.num} = {divisor} * {quotient}''')


