





from collections.abc import Callable


def 					A__	(       SCREAMING_SNAKE_CASE_							,       SCREAMING_SNAKE_CASE_							,       SCREAMING_SNAKE_CASE_		)   ->     Union[str, Any]:
		lowerCamelCase   : Optional[int]								=a
		lowerCamelCase   : str								=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:
				lowerCamelCase   : Tuple								=start + (end - start) / 2.0
				while abs(start - mid		) > 1_0**-7:  # until precisely equals to 10^-7
						if function(_UpperCamelCase		) == 0:
								return mid
						elif function(_UpperCamelCase		) * function(_UpperCamelCase		) < 0:
								lowerCamelCase   : List[str]								=mid
						else:
								lowerCamelCase   : Union[str, Any]								=mid
						lowerCamelCase   : List[Any]								=start + (end - start) / 2.0
				return mid


def 					A__	(       SCREAMING_SNAKE_CASE_		)   ->     Optional[int]:
		return x**3 - 2 * x - 5


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

				import doctest

				doctest.testmod()








from abc import ABC, abstractmethod
from typing import Optional, Union

from .. import Dataset, DatasetDict, Features, IterableDataset, IterableDatasetDict, NamedSplit
from ..utils.typing import NestedDataStructureLike, PathLike
class        snake_case_		(			_A):







		def __init__(		self			,     __lowercase = None			,     __lowercase = None			,     __lowercase = None			,     __lowercase = None			,     __lowercase = False			,     __lowercase = False			,     __lowercase = None			,     **__lowercase			,     )				->   List[Any]:
				lowerCamelCase   : Dict								=path_or_paths
				lowerCamelCase   : Optional[int]								=split if split or isinstance(__lowercase			,     __lowercase   ) else '''train'''
				lowerCamelCase   : Tuple								=features
				lowerCamelCase   : Tuple								=cache_dir
				lowerCamelCase   : Optional[Any]								=keep_in_memory
				lowerCamelCase   : Any								=streaming
				lowerCamelCase   : Dict								=num_proc
				lowerCamelCase   : List[Any]								=kwargs







		@abstractmethod
		def 			__lowercase   (		self   )				->   Union[Dataset, DatasetDict, IterableDataset, IterableDatasetDict]:
				pass

class        snake_case_		(			_A):







		def __init__(		self			,     __lowercase = None			,     __lowercase = None			,     __lowercase = False			,     __lowercase = False			,     __lowercase = None			,     **__lowercase			,     )				->   List[str]:
				lowerCamelCase   : Tuple								=features
				lowerCamelCase   : Union[str, Any]								=cache_dir
				lowerCamelCase   : Optional[int]								=keep_in_memory
				lowerCamelCase   : List[str]								=streaming
				lowerCamelCase   : List[str]								=num_proc
				lowerCamelCase   : List[str]								=kwargs







		@abstractmethod
		def 			__lowercase   (		self   )				->   Union[Dataset, IterableDataset]:
				pass

