


from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_tokenizers_available, is_torch_available


__lowerCamelCase   	=  {'''configuration_yoso''': ['''YOSO_PRETRAINED_CONFIG_ARCHIVE_MAP''', '''YosoConfig''']}

try:
       if not is_torch_available():
              raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
       pass
else:
       __lowerCamelCase   	=  [
           '''YOSO_PRETRAINED_MODEL_ARCHIVE_LIST''',
           '''YosoForMaskedLM''',
           '''YosoForMultipleChoice''',
           '''YosoForQuestionAnswering''',
           '''YosoForSequenceClassification''',
           '''YosoForTokenClassification''',
           '''YosoLayer''',
           '''YosoModel''',
           '''YosoPreTrainedModel''',
       ]


if TYPE_CHECKING:
       from .configuration_yoso import YOSO_PRETRAINED_CONFIG_ARCHIVE_MAP, YosoConfig

       try:
              if not is_torch_available():
                     raise OptionalDependencyNotAvailable()
       except OptionalDependencyNotAvailable:
              pass
       else:
              from .modeling_yoso import (
                  YOSO_PRETRAINED_MODEL_ARCHIVE_LIST,
                  YosoForMaskedLM,
                  YosoForMultipleChoice,
                  YosoForQuestionAnswering,
                  YosoForSequenceClassification,
                  YosoForTokenClassification,
                  YosoLayer,
                  YosoModel,
                  YosoPreTrainedModel,
              )


else:
       import sys

       __lowerCamelCase   	=  _LazyModule(__name__, globals()['''__file__'''], _import_structure)






"""simple docstring"""





def     _A    (    UpperCamelCase_	:			int,     UpperCamelCase_	:			int = 1000)      ->		str:
   '''simple docstring'''


   if (not isinstance(UpperCamelCase_,     UpperCamelCase_)) or (digit_position <= 0):
      raise ValueError("Digit position must be a positive integer")
   elif (not isinstance(UpperCamelCase_,     UpperCamelCase_)) or (precision < 0):
      raise ValueError("Precision must be a nonnegative integer")

   # compute an approximation of (16 ** (n - 1)) * pi whose fractional part is mostly
   # accurate
   __lowercase								=		(
       4 * _subsum(UpperCamelCase_,     1,     UpperCamelCase_)
       - 2 * _subsum(UpperCamelCase_,     4,     UpperCamelCase_)
       - _subsum(UpperCamelCase_,     5,     UpperCamelCase_)
       - _subsum(UpperCamelCase_,     6,     UpperCamelCase_)
   )

   # return the first hex digit of the fractional part of the result
   return hex(int((sum_result % 1) * 16))[2:]




def     _A    (    UpperCamelCase_	:			int,     UpperCamelCase_	:			int,     UpperCamelCase_	:			int)      ->		float:
   '''simple docstring'''


   __lowercase								=		0.0
   for sum_index in range(digit_pos_to_extract + precision):
      __lowercase								=		8 * sum_index + denominator_addend
      if sum_index < digit_pos_to_extract:
         # if the exponential term is an integer and we mod it by the denominator
         # before dividing, only the integer part of the sum will change;
         # the fractional part will not
         __lowercase								=		pow(
             16,     digit_pos_to_extract - 1 - sum_index,     UpperCamelCase_)
      else:
         __lowercase								=		pow(16,     digit_pos_to_extract - 1 - sum_index)
      total += exponential_term / denominator
   return total


if __name__ == "__main__":
   import doctest

   doctest.testmod()




