




'''simple docstring'''



from collections.abc import Callable




def   lowercase__(			__UpperCamelCase:					Callable[[float], float]      ,__UpperCamelCase:					float      ,__UpperCamelCase:					float    ):

      """simple docstring"""






      SCREAMING_SNAKE_CASE   :      float    					=						a
      SCREAMING_SNAKE_CASE   :      float    					=						b
      if function(__UpperCamelCase    ) == 0:  # one of the a or b is a root for the function
            return a
      elif function(__UpperCamelCase    ) == 0:
            return b
      elif (
          function(__UpperCamelCase    ) * function(__UpperCamelCase    ) > 0
      ):  # if none of these are root and they are both positive or negative,
            # then this algorithm can't find the root
            raise ValueError('could not find root in given interval.'    )
      else:
            SCREAMING_SNAKE_CASE   :      float    					=						start + (end - start) / 2.0
            while abs(start - mid    ) > 10**-7:  # until precisely equals to 10^-7
                  if function(__UpperCamelCase    ) == 0:
                        return mid
                  elif function(__UpperCamelCase    ) * function(__UpperCamelCase    ) < 0:
                        SCREAMING_SNAKE_CASE   :      Dict    					=						mid
                  else:
                        SCREAMING_SNAKE_CASE   :      List[Any]    					=						mid
                  SCREAMING_SNAKE_CASE   :      Dict    					=						start + (end - start) / 2.0
            return mid




def   lowercase__(			__UpperCamelCase:					float    ):

      """simple docstring"""






      return x**3 - 2 * x - 5


if __name__ == "__main__":
      print(bisection(f, 1, 1_0_0_0))

      import doctest

      doctest.testmod()






"""simple docstring"""



from .imports import is_tqdm_available


if is_tqdm_available():
  from tqdm.auto import tqdm as _tqdm

from ..state import PartialState







def     __lowerCAmelCase		(		lowercase    :    bool = True		,				*lowercase    :    str		,				**lowercase    :    List[Any]					)      ->		List[Any]:


    """simple docstring"""





    if not is_tqdm_available():
        raise ImportError("Accelerate's `tqdm` module requires `tqdm` to be installed. Please run `pip install tqdm`."					)
    snake_case       : Dict    =       False
    if main_process_only:
        snake_case       : int    =       PartialState().local_process_index == 0
    return _tqdm(*lowercase		,				**lowercase		,				disable=lowercase					)





