






import math







def        A__					(						lowerCamelCase     ,    lowerCamelCase						)  ->	float:
				return math.pow(lowerCamelCase     ,    2						) - a







def        A__					(						lowerCamelCase						)  ->	float:
				return 2 * x







def        A__					(						lowerCamelCase						)  ->	float:
				UpperCamelCase_:							str	=						2.0

				while start <= a:
								UpperCamelCase_:							Union[str, Any]	=						math.pow(lowerCamelCase     ,    2						)

				return start







def        A__					(						lowerCamelCase     ,    lowerCamelCase = 99_99     ,    lowerCamelCase = 0.00000000000001						)  ->	float:

				if a < 0:
								raise ValueError("""math domain error"""						)

				UpperCamelCase_:							Optional[int]	=						get_initial_point(lowerCamelCase						)

				for _ in range(lowerCamelCase						):
								UpperCamelCase_:							Any	=						value
								UpperCamelCase_:							List[Any]	=						value - fx(lowerCamelCase     ,    lowerCamelCase						) / fx_derivative(lowerCamelCase						)
								if abs(prev_value - value						) < tolerance:
												return value

				return value


if __name__ == "__main__":
							from doctest import testmod

							testmod()








import inspect
import os
import sys
import unittest

import accelerate
from accelerate.test_utils import execute_subprocess_async, require_tpu

class        _UpperCamelCase				(					unittest.TestCase  ):






			'''simple docstring'''

			def       lowerCAmelCase__	(       self :       Optional[int]      ):
							UpperCamelCase_:							List[Any]	=						inspect.getfile(accelerate.test_utils      )
							UpperCamelCase_:							List[str]	=						os.path.sep.join(mod_file.split(os.path.sep      )[:-1] + ["""scripts""", """test_script.py"""]      )
							UpperCamelCase_:							str	=						os.path.sep.join(inspect.getfile(self.__class__      ).split(os.path.sep      )[:-1]      )




			@require_tpu
			def       lowerCAmelCase__	(       self :       Optional[int]      ):
							UpperCamelCase_:							Any	=						f'''
            {self.test_dir}/xla_spawn.py
            --num_cores 8
            {self.test_file_path}
        '''.split()
							UpperCamelCase_:							Dict	=						[sys.executable] + distributed_args
							execute_subprocess_async(snake_case_						,	env=os.environ.copy()      )






