

import random
def 						__lowerCamelCase	(       __snake_case					:		int	)	->							bool:






						"""simple docstring"""





						A__					:       Dict     =num - 1
						A__					:       Any     =0

						while s % 2 == 0:
												A__					:       int     =s // 2
												t += 1

						for _ in range(5	):
												A__					:       Union[str, Any]     =random.randrange(2,		num - 1	)
												A__					:       int     =pow(__snake_case,		__snake_case,		__snake_case	)
												if v != 1:
																		A__					:       Tuple     =0
																		while v != (num - 1):
																								if i == t - 1:
																														return False
																								else:
																														A__					:       Optional[Any]     =i + 1
																														A__					:       List[str]     =(v**2) % num
						return True
def 						__lowerCamelCase	(       __snake_case					:		int	)	->							bool:






						"""simple docstring"""





						if num < 2:
												return False

						A__					:       List[Any]     =[
						    2,
						    3,
						    5,
						    7,
						    11,
						    13,
						    17,
						    19,
						    23,
						    29,
						    31,
						    37,
						    41,
						    43,
						    47,
						    53,
						    59,
						    61,
						    67,
						    71,
						    73,
						    79,
						    83,
						    89,
						    97,
						    101,
						    103,
						    107,
						    109,
						    113,
						    127,
						    131,
						    137,
						    139,
						    149,
						    151,
						    157,
						    163,
						    167,
						    173,
						    179,
						    181,
						    191,
						    193,
						    197,
						    199,
						    211,
						    223,
						    227,
						    229,
						    233,
						    239,
						    241,
						    251,
						    257,
						    263,
						    269,
						    271,
						    277,
						    281,
						    283,
						    293,
						    307,
						    311,
						    313,
						    317,
						    331,
						    337,
						    347,
						    349,
						    353,
						    359,
						    367,
						    373,
						    379,
						    383,
						    389,
						    397,
						    401,
						    409,
						    419,
						    421,
						    431,
						    433,
						    439,
						    443,
						    449,
						    457,
						    461,
						    463,
						    467,
						    479,
						    487,
						    491,
						    499,
						    503,
						    509,
						    521,
						    523,
						    541,
						    547,
						    557,
						    563,
						    569,
						    571,
						    577,
						    587,
						    593,
						    599,
						    601,
						    607,
						    613,
						    617,
						    619,
						    631,
						    641,
						    643,
						    647,
						    653,
						    659,
						    661,
						    673,
						    677,
						    683,
						    691,
						    701,
						    709,
						    719,
						    727,
						    733,
						    739,
						    743,
						    751,
						    757,
						    761,
						    769,
						    773,
						    787,
						    797,
						    809,
						    811,
						    821,
						    823,
						    827,
						    829,
						    839,
						    853,
						    857,
						    859,
						    863,
						    877,
						    881,
						    883,
						    887,
						    907,
						    911,
						    919,
						    929,
						    937,
						    941,
						    947,
						    953,
						    967,
						    971,
						    977,
						    983,
						    991,
						    997,
						]

						if num in low_primes:
												return True

						for prime in low_primes:
												if (num % prime) == 0:
																		return False

						return rabin_miller(__snake_case	)
def 						__lowerCamelCase	(       __snake_case					:		int = 1_024	)	->							int:






						"""simple docstring"""





						while True:
												A__					:       Optional[Any]     =random.randrange(2 ** (keysize - 1),		2 ** (keysize)	)
												if is_prime_low_num(__snake_case	):
																		return num


if __name__ == "__main__":
		__snake_case			:     Dict										=      generate_large_prime()
		print(('Prime number:', num))
		print(('is_prime_low_num:', is_prime_low_num(num)))




'''simple docstring'''



from typing import Dict

from .base import GenericTensor, Pipeline



class lowerCamelCase			(  lowercase_						):



			'''simple docstring'''






			def lowercase__						(				self	:						List[str]		,      lowerCAmelCase_	:						Tuple=None		,      lowerCAmelCase_	:						Dict=None		,      lowerCAmelCase_	:						Any=None		,      **lowerCAmelCase_	:						Union[str, Any]			)      ->		Optional[Any]:





									'''simple docstring'''
									if tokenize_kwargs is None:
															A__					:       List[Any]     ={}

									if truncation is not None:
															if "truncation" in tokenize_kwargs:
																					raise ValueError(
																					    """truncation parameter defined twice (given as keyword argument as well as in tokenize_kwargs)"""			)
															A__					:       str     =truncation

									A__					:       Optional[int]     =tokenize_kwargs

									A__					:       List[Any]     ={}
									if return_tensors is not None:
															A__					:       Any     =return_tensors

									return preprocess_params, {}, postprocess_params


			def lowercase__						(				self	:						int		,      lowerCAmelCase_	:						Union[str, Any]		,      **lowerCAmelCase_	:						Dict			)      ->		Dict[str, GenericTensor]:





									'''simple docstring'''
									A__					:       List[str]     =self.framework
									A__					:       Union[str, Any]     =self.tokenizer(lowerCAmelCase_		,      return_tensors=lowerCAmelCase_		,      **lowerCAmelCase_			)
									return model_inputs


			def lowercase__						(				self	:						Optional[int]		,      lowerCAmelCase_	:						Dict			)      ->		Optional[Any]:





									'''simple docstring'''
									A__					:       Union[str, Any]     =self.model(**lowerCAmelCase_			)
									return model_outputs


			def lowercase__						(				self	:						Tuple		,      lowerCAmelCase_	:						Tuple		,      lowerCAmelCase_	:						Any=False			)      ->		List[Any]:





									'''simple docstring'''
									# [0] is the first available tensor, logits or last_hidden_state.
									if return_tensors:
															return model_outputs[0]
									if self.framework == "pt":
															return model_outputs[0].tolist()
									elif self.framework == "tf":
															return model_outputs[0].numpy().tolist()



			def __call__(				self	:						int		,      *lowerCAmelCase_	:						Any		,      **lowerCAmelCase_	:						Union[str, Any]			)      ->		List[str]:





									'''simple docstring'''
									return super().__call__(*lowerCAmelCase_		,      **lowerCAmelCase_			)

