code: 
  
  
  '''simple docstring'''
  
  
  
  
  def 							a_       (						lowercase							,						lowercase = 1000    )			->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
      __lowerCamelCase		:      Optional[int]											=					(
          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    )			->float:
  
  
  
  
  
  
      '''simple docstring'''
  
      __lowerCamelCase		:      int											=					0.0
      for sum_index in range(digit_pos_to_extract + precision    ):
          __lowerCamelCase		:      int											=					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
              __lowerCamelCase		:      Union[str, Any]											=					pow(
                  16							,						digit_pos_to_extract - 1 - sum_index							,						lowercase    )
          else:
              __lowerCamelCase		:      Union[str, Any]											=					pow(16							,						digit_pos_to_extract - 1 - sum_index    )
          total += exponential_term / denominator
      return total
  
  
  if __name__ == "__main__":
      import doctest
  
      doctest.testmod()
  
  
  
  
  
  
style_context: 
  
  
  '''simple docstring'''
  
  
  
  
  # tests directory-specific settings - this file is run automatically
  # by pytest before any tests are run
  
  import sys
  import warnings
  from os.path import abspath, dirname, join
  
  
  # allow having multiple repository checkouts and not needing to remember to rerun
  # 'pip install -e .[dev]' when switching between checkouts and running tests.
  __lowercase  :      Tuple      		=				abspath(join(dirname(dirname(dirname(__file__))), """src"""))
  sys.path.insert(1, git_repo_path)
  
  
  # silence FutureWarning warnings in tests since often we can't act on them until
  # they become normal warnings - i.e. the tests still need to test the current functionality
  warnings.simplefilter(action="""ignore""", category=FutureWarning)
  
  
  
  
  
  def 							a_       (						lowercase    )			->Any:
  
  
  
  
  
  
  				'''simple docstring'''
  
  				from diffusers.utils.testing_utils import pytest_addoption_shared
  
  				pytest_addoption_shared(lowercase    )
  
  
  
  
  
  def 							a_       (						lowercase    )			->str:
  
  
  
  
  
  
  				'''simple docstring'''
  
  				from diffusers.utils.testing_utils import pytest_terminal_summary_main
  
  				__lowerCamelCase		:      Union[str, Any]											=					terminalreporter.config.getoption("--make-reports"    )
  				if make_reports:
  								pytest_terminal_summary_main(lowercase							,						id=lowercase    )
  
  
  
  
  
  