from math import exp
def 				__lowercase	(						lowerCamelCase__					)				->float:

  '''simple docstring'''




  return 8 * x - 2 * exp(-x					)
def 				__lowercase	(						lowerCamelCase__ ,				lowerCamelCase__ ,				lowerCamelCase__					)				->float:

  '''simple docstring'''




  a__     		=     lower_bound
  a__     		=     upper_bound
  for _ in range(0 ,				lowerCamelCase__					):
    a__		,a__     		=     xa, xa - (f(lowerCamelCase__					) * (xa - xa)) / (f(lowerCamelCase__					) - f(lowerCamelCase__					))
  return xa


if __name__ == "__main__":
     print(F"""Example: {secant_method(1, 3, 2)}""")


from unittest.mock import patch

import datasets
from datasets import Dataset
def 				__lowercase	(						)				->Union[str, Any]:

  '''simple docstring'''




  a__     		=     Dataset.from_dict({"col_1": [3, 2, 0, 1]}					)

  with patch("tqdm.auto.tqdm"					) as mock_tqdm:
    datasets.disable_progress_bar()
    dset.map(lambda lowerCamelCase__					: {"col_2": x["col_1"] + 1}					)
    mock_tqdm.assert_not_called()

    mock_tqdm.reset_mock()

    datasets.enable_progress_bar()
    dset.map(lambda lowerCamelCase__					: {"col_2": x["col_1"] + 1}					)
    mock_tqdm.assert_called()

