



import inspect
import os
import unittest

import torch

import accelerate
from accelerate import debug_launcher
from accelerate.test_utils import (
    execute_subprocess_async,
    require_cpu,
    require_multi_gpu,
    require_single_gpu,
    test_sync,
)
from accelerate.utils import patch_environment

class      snake_case__       (unittest.TestCase	):







						"""simple docstring"""




						def 							SCREAMING_SNAKE_CASE__(     self						)      ->   List[Any]:
									"""simple docstring"""




									a__     :		Tuple		 =						inspect.getfile(accelerate.test_utils						)
									a__     :		List[Any]		 =						os.path.sep.join(mod_file.split(os.path.sep						)[:-1] + ["""scripts""", """test_sync.py"""]						)

						@require_cpu
						def 							SCREAMING_SNAKE_CASE__(     self						)      ->   Union[str, Any]:
									"""simple docstring"""




									debug_launcher(test_sync.main      ,     num_processes=1						)

						@require_cpu
						def 							SCREAMING_SNAKE_CASE__(     self						)      ->   Tuple:
									"""simple docstring"""




									debug_launcher(test_sync.main						)

						@require_single_gpu
						def 							SCREAMING_SNAKE_CASE__(     self						)      ->   int:
									"""simple docstring"""




									test_sync.main()

						@require_multi_gpu
						def 							SCREAMING_SNAKE_CASE__(     self						)      ->   Optional[int]:
									"""simple docstring"""




									print(F'''Found {torch.cuda.device_count()} devices.'''						)
									a__     :		Tuple		 =						["""torchrun""", F'''--nproc_per_node={torch.cuda.device_count()}''', self.test_file_path]
									with patch_environment(omp_num_threads=1						):
												execute_subprocess_async(__lowercase      ,     env=os.environ.copy()						)









from collections.abc import Callable

_lowercase	:   int    	=Callable[[float], float]  # type alias for a real -> real function

def 			lowerCAmelCase_  (						_lowercase       :     RealFunc		,     _lowercase       :     RealFunc		,     _lowercase       :     int		,     )							-> float:







			"""simple docstring"""
			a__     :		Optional[int]		 =						float(_lowercase)
			while True:
						try:
									a__     :		Union[str, Any]		 =						prev_guess - function(_lowercase) / derivative(_lowercase)
						except ZeroDivisionError:
									raise ZeroDivisionError("""Could not find root""") from None
						if abs(prev_guess - next_guess) < 10**-5:
									return next_guess
						a__     :		Optional[Any]		 =						next_guess

def 			lowerCAmelCase_  (						_lowercase       :     float)							-> float:







			"""simple docstring"""
			return (x**3) - (2 * x) - 5

def 			lowerCAmelCase_  (						_lowercase       :     float)							-> float:







			"""simple docstring"""
			return 3 * (x**2) - 2


if __name__ == "__main__":
		print(newton(f, fa, 3))




