






'''simple docstring'''







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

import torch_xla.distributed.xla_multiprocessing as xmp






def  lowerCAmelCase__		(					)   -> Optional[int]:
       UpperCAmelCase__	:   Optional[Any]												=	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=a_			,						default=1			,						help='''Number of TPU cores to use (1 or 8).'''			)

       # positional
       parser.add_argument(
           '''training_script'''			,						type=a_			,						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=a_			)

       return parser.parse_args()






def  lowerCAmelCase__		(					)   -> Union[str, Any]:
       UpperCAmelCase__	:   Any												=	parse_args()

       # Import training_script as a module.
       UpperCAmelCase__	:   Any												=	Path(args.training_script			)
       sys.path.append(str(script_fpath.parent.resolve()			)			)
       UpperCAmelCase__	:   Tuple												=	script_fpath.stem
       UpperCAmelCase__	:   str												=	importlib.import_module(a_			)

       # Patch sys.argv
       UpperCAmelCase__	:   str												=	[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()






def  A					(				UpperCAmelCase	,	UpperCAmelCase					):
					# "Simpson Rule"
					# int(f) = delta_x/2 * (b-a)/3*(f1 + 4f2 + 2f_3 + ... + fn)
					_snake_case							:       List[str]												= (boundary[1] - boundary[0]) / steps
					_snake_case							:       List[Any]												= boundary[0]
					_snake_case							:       Tuple												= boundary[1]
					_snake_case							:       str												= make_points(UpperCAmelCase	,	UpperCAmelCase	,	UpperCAmelCase					)
					_snake_case							:       str												= 0.0
					y += (h / 3.0) * f(UpperCAmelCase					)
					_snake_case							:       Tuple												= 2
					for i in x_i:
										y += (h / 3) * (4 - 2 * (cnt % 2)) * f(UpperCAmelCase					)
										cnt += 1
					y += (h / 3.0) * f(UpperCAmelCase					)
					return y







def  A					(				UpperCAmelCase	,	UpperCAmelCase	,	UpperCAmelCase					):
					_snake_case							:       Union[str, Any]												= a + h
					while x < (b - h):
										yield x
										_snake_case							:       Optional[Any]												= x + h







def  A					(				UpperCAmelCase					):  # enter your function here
					_snake_case							:       Dict												= (x - 0) * (x - 0)
					return y







def  A					(				):
					_snake_case							:       int												= 0.0  # Lower bound of integration
					_snake_case							:       Union[str, Any]												= 1.0  # Upper bound of integration
					_snake_case							:       List[str]												= 1_0.0  # define number of steps or resolution
					_snake_case							:       Optional[int]												= [a, b]  # define boundary of integration
					_snake_case							:       List[str]												= method_a(UpperCAmelCase	,	UpperCAmelCase					)
					print(F"""y = {y}"""					)


if __name__ == "__main__":
							main()