





def 	_SCREAMING_SNAKE_CASE		(      SCREAMING_SNAKE_CASE		:int   ,   SCREAMING_SNAKE_CASE		:bool = False   )      ->   bool:
 if n == 2:
  return True
 if not n % 2 or n < 2:
  return False
 if n > 5 and n % 10 not in (1, 3, 7, 9):  # can quickly check last digit
  return False
 if n > 3_317_044_064_679_887_385_961_981 and not allow_probable:
  raise ValueError(
      """Warning: upper bound of deterministic test is exceeded. """
      """Pass allow_probable=True to allow probabilistic test. """
      """A return value of True indicates a probable prime."""   )
 # array bounds provided by analysis
 __lowerCAmelCase					:	str      =       [
     2_047,
     1_373_653,
     25_326_001,
     3_215_031_751,
     2_152_302_898_747,
     3_474_749_660_383,
     341_550_071_728_321,
     1,
     3_825_123_056_546_413_051,
     1,
     1,
     318_665_857_834_031_151_167_461,
     3_317_044_064_679_887_385_961_981,
 ]

 __lowerCAmelCase					:	Tuple      =       [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41]
 for idx, _p in enumerate(SCREAMING_SNAKE_CASE   ,   1   ):
  if n < _p:
   # then we have our last prime to check
   __lowerCAmelCase					:	Any      =       primes[:idx]
   break
 __lowerCAmelCase					:	Any      =       n - 1, 0
 # break up n -1 into a power of 2 (s) and
 # remaining odd component
 # essentially, solve for d * 2 ** s == n - 1
 while d % 2 == 0:
  d //= 2
  s += 1
 for prime in plist:
  __lowerCAmelCase					:	List[Any]      =       False
  for r in range(SCREAMING_SNAKE_CASE   ):
   __lowerCAmelCase					:	List[Any]      =       pow(SCREAMING_SNAKE_CASE   ,   d * 2**r   ,   SCREAMING_SNAKE_CASE   )
   # see article for analysis explanation for m
   if (r == 0 and m == 1) or ((m + 1) % n == 0):
    __lowerCAmelCase					:	int      =       True
    # this loop will not determine compositeness
    break
  if pr:
   continue
  # if pr is False, then the above loop never evaluated to true,
  # and the n MUST be composite
  return False
 return True






def 	_SCREAMING_SNAKE_CASE		(      )      ->   None:
 assert not miller_rabin(561   )
 assert miller_rabin(563   )
 # 2047

 assert not miller_rabin(838_201   )
 assert miller_rabin(838_207   )
 # 1_373_653

 assert not miller_rabin(17_316_001   )
 assert miller_rabin(17_316_017   )
 # 25_326_001

 assert not miller_rabin(3_078_386_641   )
 assert miller_rabin(3_078_386_653   )
 # 3_215_031_751

 assert not miller_rabin(1_713_045_574_801   )
 assert miller_rabin(1_713_045_574_819   )
 # 2_152_302_898_747

 assert not miller_rabin(2_779_799_728_307   )
 assert miller_rabin(2_779_799_728_327   )
 # 3_474_749_660_383

 assert not miller_rabin(113_850_023_909_441   )
 assert miller_rabin(113_850_023_909_527   )
 # 341_550_071_728_321

 assert not miller_rabin(1_275_041_018_848_804_351   )
 assert miller_rabin(1_275_041_018_848_804_391   )
 # 3_825_123_056_546_413_051

 assert not miller_rabin(79_666_464_458_507_787_791_867   )
 assert miller_rabin(79_666_464_458_507_787_791_951   )
 # 318_665_857_834_031_151_167_461

 assert not miller_rabin(552_840_677_446_647_897_660_333   )
 assert miller_rabin(552_840_677_446_647_897_660_359   )
 # 3_317_044_064_679_887_385_961_981
 # upper limit for probabilistic test


if __name__ == "__main__":
     test_miller_rabin()






import warnings

from ...processing_utils import ProcessorMixin
from ...tokenization_utils_base import BatchEncoding






class        snake_case_    (		__lowercase						):
  A_      							=   ['image_processor', 'tokenizer']
  A_      							=   'ChineseCLIPImageProcessor'
  A_      							=   ('BertTokenizer', 'BertTokenizerFast')






  def __init__(							self			:					Optional[Any]       ,  _snake_case			:					List[Any]=None       ,  _snake_case			:					str=None       ,  **_snake_case			:					int      )->List[str]:






   '''simple docstring'''

   __lowerCAmelCase					:	str      =       None
   if "feature_extractor" in kwargs:
    warnings.warn(
        """The `feature_extractor` argument is deprecated and will be removed in v5, use `image_processor`"""
        """ instead."""       ,  _snake_case       ,  )
    __lowerCAmelCase					:	List[str]      =       kwargs.pop("""feature_extractor"""      )

   __lowerCAmelCase					:	Union[str, Any]      =       image_processor if image_processor is not None else feature_extractor
   if image_processor is None:
    raise ValueError("""You need to specify an `image_processor`."""      )
   if tokenizer is None:
    raise ValueError("""You need to specify a `tokenizer`."""      )

   super().__init__(_snake_case       ,  _snake_case      )
   __lowerCAmelCase					:	Any      =       self.image_processor






  def __call__(							self			:					Optional[Any]       ,  _snake_case			:					Tuple=None       ,  _snake_case			:					Tuple=None       ,  _snake_case			:					List[str]=None       ,  **_snake_case			:					Any      )->Union[str, Any]:






   '''simple docstring'''

   if text is None and images is None:
    raise ValueError("""You have to specify either text or images. Both cannot be none."""      )

   if text is not None:
    __lowerCAmelCase					:	List[Any]      =       self.tokenizer(_snake_case       ,  return_tensors=_snake_case       ,  **_snake_case      )

   if images is not None:
    __lowerCAmelCase					:	Tuple      =       self.image_processor(_snake_case       ,  return_tensors=_snake_case       ,  **_snake_case      )

   if text is not None and images is not None:
    __lowerCAmelCase					:	Optional[Any]      =       image_features.pixel_values
    return encoding
   elif text is not None:
    return encoding
   else:
    return BatchEncoding(data=dict(**_snake_case      )       ,  tensor_type=_snake_case      )






  def 				UpperCAmelCase__						(							self			:					Optional[int]       ,  *_snake_case			:					Union[str, Any]       ,  **_snake_case			:					int      )->Optional[Any]:






   '''simple docstring'''

   return self.tokenizer.batch_decode(*_snake_case       ,  **_snake_case      )






  def 				UpperCAmelCase__						(							self			:					Dict       ,  *_snake_case			:					Dict       ,  **_snake_case			:					Any      )->Dict:






   '''simple docstring'''

   return self.tokenizer.decode(*_snake_case       ,  **_snake_case      )






  @property
  def 				UpperCAmelCase__						(							self			:					Optional[int]      )->str:






   '''simple docstring'''

   __lowerCAmelCase					:	Tuple      =       self.tokenizer.model_input_names
   __lowerCAmelCase					:	Tuple      =       self.image_processor.model_input_names
   return list(dict.fromkeys(tokenizer_input_names + image_processor_input_names      )      )






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






   '''simple docstring'''

   warnings.warn(
       """`feature_extractor_class` is deprecated and will be removed in v5. Use `image_processor_class` instead."""       ,  _snake_case       ,  )
   return self.image_processor_class