





'''simple docstring'''


import random
def 							UpperCAmelCase_  (						__lowerCamelCase : int			):
   lowercase_      :Any         =			num - 1
   lowercase_      :List[Any]         =			0

   while s % 2 == 0:
      lowercase_      :Union[str, Any]         =			s // 2
      t += 1

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

   lowercase_      :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,
       1_01,
       1_03,
       1_07,
       1_09,
       1_13,
       1_27,
       1_31,
       1_37,
       1_39,
       1_49,
       1_51,
       1_57,
       1_63,
       1_67,
       1_73,
       1_79,
       1_81,
       1_91,
       1_93,
       1_97,
       1_99,
       2_11,
       2_23,
       2_27,
       2_29,
       2_33,
       2_39,
       2_41,
       2_51,
       2_57,
       2_63,
       2_69,
       2_71,
       2_77,
       2_81,
       2_83,
       2_93,
       3_07,
       3_11,
       3_13,
       3_17,
       3_31,
       3_37,
       3_47,
       3_49,
       3_53,
       3_59,
       3_67,
       3_73,
       3_79,
       3_83,
       3_89,
       3_97,
       4_01,
       4_09,
       4_19,
       4_21,
       4_31,
       4_33,
       4_39,
       4_43,
       4_49,
       4_57,
       4_61,
       4_63,
       4_67,
       4_79,
       4_87,
       4_91,
       4_99,
       5_03,
       5_09,
       5_21,
       5_23,
       5_41,
       5_47,
       5_57,
       5_63,
       5_69,
       5_71,
       5_77,
       5_87,
       5_93,
       5_99,
       6_01,
       6_07,
       6_13,
       6_17,
       6_19,
       6_31,
       6_41,
       6_43,
       6_47,
       6_53,
       6_59,
       6_61,
       6_73,
       6_77,
       6_83,
       6_91,
       7_01,
       7_09,
       7_19,
       7_27,
       7_33,
       7_39,
       7_43,
       7_51,
       7_57,
       7_61,
       7_69,
       7_73,
       7_87,
       7_97,
       8_09,
       8_11,
       8_21,
       8_23,
       8_27,
       8_29,
       8_39,
       8_53,
       8_57,
       8_59,
       8_63,
       8_77,
       8_81,
       8_83,
       8_87,
       9_07,
       9_11,
       9_19,
       9_29,
       9_37,
       9_41,
       9_47,
       9_53,
       9_67,
       9_71,
       9_77,
       9_83,
       9_91,
       9_97,
   ]

   if num in low_primes:
      return True

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

   return rabin_miller(__lowerCamelCase			)
def 							UpperCAmelCase_  (						__lowerCamelCase : int = 10_24			):
   while True:
      lowercase_      :Tuple         =			random.randrange(2 ** (keysize - 1)     ,2 ** (keysize)			)
      if is_prime_low_num(__lowerCamelCase			):
         return num


if __name__ == "__main__":
 lowerCAmelCase :					Union[str, Any] 							=generate_large_prime()
 print(('''Prime number:''', num))
 print(('''is_prime_low_num:''', is_prime_low_num(num)))









'''simple docstring'''


from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


lowerCAmelCase :					Optional[int] 							={'''configuration_wavlm''': ['''WAVLM_PRETRAINED_CONFIG_ARCHIVE_MAP''', '''WavLMConfig''']}

try:
 if not is_torch_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 lowerCAmelCase :					Optional[Any] 							=[
     '''WAVLM_PRETRAINED_MODEL_ARCHIVE_LIST''',
     '''WavLMForAudioFrameClassification''',
     '''WavLMForCTC''',
     '''WavLMForSequenceClassification''',
     '''WavLMForXVector''',
     '''WavLMModel''',
     '''WavLMPreTrainedModel''',
 ]

if TYPE_CHECKING:
 from .configuration_wavlm import WAVLM_PRETRAINED_CONFIG_ARCHIVE_MAP, WavLMConfig

 try:
  if not is_torch_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .modeling_wavlm import (
      WAVLM_PRETRAINED_MODEL_ARCHIVE_LIST,
      WavLMForAudioFrameClassification,
      WavLMForCTC,
      WavLMForSequenceClassification,
      WavLMForXVector,
      WavLMModel,
      WavLMPreTrainedModel,
  )

else:
 import sys

 lowerCAmelCase :					Union[str, Any] 							=_LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)


