




"""simple docstring"""







import importlib
import sys
from argparse import REMAINDER, ArgumentParser
from pathlib import Path

import torch_xla.distributed.xla_multiprocessing as xmp





def 							lowercase   ()       ->					Dict:


				'''simple docstring'''






				lowerCAmelCase		=			ArgumentParser(
				    description=(
				        """PyTorch TPU distributed training launch helper utility that will spawn up multiple distributed processes"""
				    )	)

				# Optional arguments for the launch helper
				parser.add_argument("""--num_cores""" ,    type=snake_case__ ,    default=1 ,    help="""Number of TPU cores to use (1 or 8)."""	)

				# positional
				parser.add_argument(
				    """training_script""" ,    type=snake_case__ ,    help=(
				        """The full path to the single TPU training """
				        """program/script to be launched in parallel, """
				        """followed by all the arguments for the """
				        """training script"""
				    ) ,    )

				# rest from the training program
				parser.add_argument("""training_script_args""" ,    nargs=snake_case__	)

				return parser.parse_args()





def 							lowercase   ()       ->					Tuple:


				'''simple docstring'''






				lowerCAmelCase		=			parse_args()

				# Import training_script as a module.
				lowerCAmelCase		=			Path(args.training_script	)
				sys.path.append(str(script_fpath.parent.resolve()	)	)
				lowerCAmelCase		=			script_fpath.stem
				lowerCAmelCase		=			importlib.import_module(snake_case__	)

				# Patch sys.argv
				lowerCAmelCase		=			[args.training_script] + args.training_script_args + ["""--tpu_num_cores""", str(args.num_cores	)]

				xmp.spawn(mod._mp_fn ,    args=() ,    nprocs=args.num_cores	)


if __name__ == "__main__":
		main()











"""simple docstring"""







def 							lowercase   (snake_case__				:	list	)       ->					bool:


				'''simple docstring'''






				if not isinstance(snake_case__ ,    snake_case__	):
								raise ValueError("""Input series is not valid, valid series - [1, 2/3, 2]"""	)
				if len(snake_case__	) == 0:
								raise ValueError("""Input list must be a non empty list"""	)
				if len(snake_case__	) == 1 and series[0] != 0:
								return True
				lowerCAmelCase		=			[]
				lowerCAmelCase		=			len(snake_case__	)
				for i in range(0 ,    snake_case__	):
								if series[i] == 0:
												raise ValueError("""Input series cannot have 0 as an element"""	)
								rec_series.append(1 / series[i]	)
				lowerCAmelCase		=			rec_series[1] - rec_series[0]
				for index in range(2 ,    snake_case__	):
								if rec_series[index] - rec_series[index - 1] != common_diff:
												return False
				return True





def 							lowercase   (snake_case__				:	list	)       ->					float:


				'''simple docstring'''






				if not isinstance(snake_case__ ,    snake_case__	):
								raise ValueError("""Input series is not valid, valid series - [2, 4, 6]"""	)
				if len(snake_case__	) == 0:
								raise ValueError("""Input list must be a non empty list"""	)
				lowerCAmelCase		=			0
				for val in series:
								answer += 1 / val
				return len(snake_case__	) / answer


if __name__ == "__main__":
		import doctest

		doctest.testmod()





