






"""simple docstring"""





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 						_a  (		unittest.TestCase       ):





   '''simple docstring'''






   def __lowercase							(       self)			->   Optional[Any]:




          '''simple docstring'''




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





   @require_cpu
   def __lowercase							(       self)			->   List[str]:




          '''simple docstring'''




          debug_launcher(test_sync.main					, num_processes=1)





   @require_cpu
   def __lowercase							(       self)			->   Tuple:




          '''simple docstring'''




          debug_launcher(test_sync.main)





   @require_single_gpu
   def __lowercase							(       self)			->   Optional[int]:




          '''simple docstring'''




          test_sync.main()





   @require_multi_gpu
   def __lowercase							(       self)			->   Tuple:




          '''simple docstring'''




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













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()