


def 						_A						(						_lowercase			,       _lowercase = 10_00				)			->				str:


     """simple docstring"""


     if (not isinstance(_lowercase			,       _lowercase				)) or (digit_position <= 0):
          raise ValueError('Digit position must be a positive integer'				)
     elif (not isinstance(_lowercase			,       _lowercase				)) 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
     __UpperCamelCase				=	(
         4 * _subsum(_lowercase			,       1			,       _lowercase				)
         - 2 * _subsum(_lowercase			,       4			,       _lowercase				)
         - _subsum(_lowercase			,       5			,       _lowercase				)
         - _subsum(_lowercase			,       6			,       _lowercase				)
     )

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






def 						_A						(						_lowercase			,       _lowercase			,       _lowercase				)			->				Any:


     """simple docstring"""


     __UpperCamelCase				=	0.0
     for sum_index in range(digit_pos_to_extract + precision				):
          __UpperCamelCase				=	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
               __UpperCamelCase				=	pow(
                   16			,       digit_pos_to_extract - 1 - sum_index			,       _lowercase				)
          else:
               __UpperCamelCase				=	pow(16			,       digit_pos_to_extract - 1 - sum_index				)
          total += exponential_term / denominator
     return total


if __name__ == "__main__":
     import doctest

     doctest.testmod()






import os

from apache_beam.io.filesystems import FileSystems
from apache_beam.pipeline import Pipeline

from .logging import get_logger


__snake_case     =		2 << 2_0  # 2mb
__snake_case     =		get_logger(__name__)



class 					__lowerCamelCase	(_a		):







       def 						snake_case_					(	self:				Optional[Any]			):






            '''simple docstring'''




            __UpperCamelCase				=	self._options.get_all_options().get('runner'			)
            return runner in [None, "DirectRunner", "PortableRunner"]






def 						_A						(						_lowercase			,       _lowercase			,       _lowercase=False				)			->				List[Any]:


     """simple docstring"""


     __UpperCamelCase				=	FileSystems
     if fs.exists(_lowercase				):
          if force_upload:
               logger.info(f'''Remote path already exist: {remote_file_path}. Overwriting it as force_upload=True.'''				)
          else:
               logger.info(f'''Remote path already exist: {remote_file_path}. Skipping it as force_upload=False.'''				)
               return
     with fs.create(_lowercase				) as remote_file:
          with open(_lowercase			,       'rb'				) as local_file:
               __UpperCamelCase				=	local_file.read(_lowercase				)
               while chunk:
                    remote_file.write(_lowercase				)
                    __UpperCamelCase				=	local_file.read(_lowercase				)






def 						_A						(						_lowercase			,       _lowercase			,       _lowercase=False				)			->				Optional[Any]:


     """simple docstring"""


     __UpperCamelCase				=	FileSystems
     if os.path.exists(_lowercase				):
          if force_download:
               logger.info(f'''Local path already exist: {remote_file_path}. Overwriting it as force_upload=True.'''				)
          else:
               logger.info(f'''Local path already exist: {remote_file_path}. Skipping it as force_upload=False.'''				)
               return
     with fs.open(_lowercase				) as remote_file:
          with open(_lowercase			,       'wb'				) as local_file:
               __UpperCamelCase				=	remote_file.read(_lowercase				)
               while chunk:
                    local_file.write(_lowercase				)
                    __UpperCamelCase				=	remote_file.read(_lowercase				)


