





'''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			(      )		->  Any:
   snake_case 						=   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=_SCREAMING_SNAKE_CASE      ,    default=1      ,    help="""Number of TPU cores to use (1 or 8)."""		)

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

   return parser.parse_args()





def 	__lowerCamelCase			(      )		->  List[str]:
   snake_case 						=   parse_args()

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

   # Patch sys.argv
   snake_case 						=   [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'''





from __future__ import annotations

import math

UpperCAmelCase__  			=				'''2020.9.26'''
UpperCAmelCase__  			=				'''xcodz-dot, cclaus, dhruvmanila'''






def 						UpperCAmelCase__(				_SCREAMING_SNAKE_CASE					: float,_SCREAMING_SNAKE_CASE					: float,_SCREAMING_SNAKE_CASE					: float,_SCREAMING_SNAKE_CASE					: float,_SCREAMING_SNAKE_CASE					: float ):






			"""simple docstring"""




			if not all(isinstance(_SCREAMING_SNAKE_CASE,(float, int) ) for val in locals().values() ):
						__A=	f"""Input values must either be float or int: {list(locals().values() )}"""
						raise TypeError(_SCREAMING_SNAKE_CASE )
			__A=	((x * distance) / (z + distance)) * scale
			__A=	((y * distance) / (z + distance)) * scale
			return projected_x, projected_y






def 						UpperCAmelCase__(				_SCREAMING_SNAKE_CASE					: float,_SCREAMING_SNAKE_CASE					: float,_SCREAMING_SNAKE_CASE					: float,_SCREAMING_SNAKE_CASE					: str,_SCREAMING_SNAKE_CASE					: float ):






			"""simple docstring"""




			if not isinstance(_SCREAMING_SNAKE_CASE,_SCREAMING_SNAKE_CASE ):
						raise TypeError('Axis must be a str' )
			__A=	locals()
			del input_variables["axis"]
			if not all(isinstance(_SCREAMING_SNAKE_CASE,(float, int) ) for val in input_variables.values() ):
						__A=	(
						    'Input values except axis must either be float or int: '
						    f"""{list(input_variables.values() )}"""
						)
						raise TypeError(_SCREAMING_SNAKE_CASE )
			__A=	(angle % 360) / 450 * 180 / math.pi
			if axis == "z":
						__A=	x * math.cos(_SCREAMING_SNAKE_CASE ) - y * math.sin(_SCREAMING_SNAKE_CASE )
						__A=	y * math.cos(_SCREAMING_SNAKE_CASE ) + x * math.sin(_SCREAMING_SNAKE_CASE )
						__A=	z
			elif axis == "x":
						__A=	y * math.cos(_SCREAMING_SNAKE_CASE ) - z * math.sin(_SCREAMING_SNAKE_CASE )
						__A=	z * math.cos(_SCREAMING_SNAKE_CASE ) + y * math.sin(_SCREAMING_SNAKE_CASE )
						__A=	x
			elif axis == "y":
						__A=	x * math.cos(_SCREAMING_SNAKE_CASE ) - z * math.sin(_SCREAMING_SNAKE_CASE )
						__A=	z * math.cos(_SCREAMING_SNAKE_CASE ) + x * math.sin(_SCREAMING_SNAKE_CASE )
						__A=	y
			else:
						raise ValueError('not a valid axis, choose one of \'x\', \'y\', \'z\'' )

			return new_x, new_y, new_z


if __name__ == "__main__":
					import doctest

					doctest.testmod()
					print(F"""{convert_to_ad(1.0, 2.0, 3.0, 10.0, 10.0) = }""")
					print(F"""{rotate(1.0, 2.0, 3.0, 'y', 90.0) = }""")



