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

import torch_xla.distributed.xla_multiprocessing as xmp





def        lowerCAmelCase       (				)->			Any:
    A_								=					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=lowercase__				,					default=1				,					help="Number of TPU cores to use (1 or 8)." )

    # positional
    parser.add_argument(
        "training_script"				,					type=lowercase__				,					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=lowercase__ )

    return parser.parse_args()





def        lowerCAmelCase       (				)->			Union[str, Any]:
    A_								=					parse_args()

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

    # Patch sys.argv
    A_								=					[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()










from __future__ import annotations

from collections.abc import Callable
def 			__SCREAMING_SNAKE_CASE							(					lowercase__	:Callable[[int | float], int | float]   ,    lowercase__	:int | float   ,    lowercase__	:int | float   ,    lowercase__	:int = 1_0_0   ,    )							->	float:
						__magic_name__					:				str				=   x_start
						__magic_name__					:				str				=   fnc(lowercase__					)
						__magic_name__					:				Union[str, Any]				=   0.0

						for _ in range(lowercase__					):
												# Approximates small segments of curve as linear and solve
												# for trapezoidal area
												__magic_name__					:				Optional[int]				=   (x_end - x_start) / steps + xa
												__magic_name__					:				List[Any]				=   fnc(lowercase__					)
												area += abs(fxa + fxa					) * (xa - xa) / 2

												# Increment step
												__magic_name__					:				Optional[Any]				=   xa
												__magic_name__					:				Union[str, Any]				=   fxa
						return area


if __name__ == "__main__":
			def 			__SCREAMING_SNAKE_CASE							(					lowercase__	:Dict					)							->	Optional[int]:
									return x**3

			print('f(x) = x^3')
			print('The area between the curve, x = -10, x = 10 and the x axis is:')
			snake_case__  				=			10
			while i <= 10_0000:
						snake_case__  				=			trapezoidal_area(f, -5, 5, i)
						print(F"""with {i} steps: {area}""")
						i *= 10


