
from numpy import exp, pi, sqrt


def 				a__ (				snake_case    ,       snake_case = 0.0    ,       snake_case = 1.0				):





  """simple docstring"""
  return 1 / sqrt(2 * pi * sigma**2				) * exp(-((x - mu) ** 2) / (2 * sigma**2)				)


if __name__ == "__main__":
   import doctest

   doctest.testmod()




"""simple docstring"""




import inspect
import os
import unittest

import torch

import accelerate
from accelerate import Accelerator
from accelerate.test_utils import execute_subprocess_async, require_multi_gpu
from accelerate.utils import patch_environment
class 					__lowerCAmelCase					(   unittest.TestCase       ):


		'''simple docstring'''



		def 			__UpperCAmelCase       (  self      ):
				__a           =			inspect.getfile(accelerate.test_utils      )
				__a           =			os.path.sep.join(mod_file.split(os.path.sep      )[:-1] + ['''scripts''', '''test_script.py''']      )
				__a           =			os.path.sep.join(
				    mod_file.split(os.path.sep      )[:-1] + ['''scripts''', '''test_distributed_data_loop.py''']      )
				__a           =			os.path.sep.join(mod_file.split(os.path.sep      )[:-1] + ['''scripts''', '''test_ops.py''']      )

		@require_multi_gpu
		def 			__UpperCAmelCase       (  self      ):
				print(f'''Found {torch.cuda.device_count()} devices.'''      )
				__a           =			['''torchrun''', f'''--nproc_per_node={torch.cuda.device_count()}''', self.test_file_path]
				with patch_environment(omp_num_threads=1      ):
						execute_subprocess_async(_a							, env=os.environ.copy()      )

		@require_multi_gpu
		def 			__UpperCAmelCase       (  self      ):
				print(f'''Found {torch.cuda.device_count()} devices.'''      )
				__a           =			['''torchrun''', f'''--nproc_per_node={torch.cuda.device_count()}''', self.operation_file_path]
				print(f'''Command: {cmd}'''      )
				with patch_environment(omp_num_threads=1      ):
						execute_subprocess_async(_a							, env=os.environ.copy()      )

		@require_multi_gpu
		def 			__UpperCAmelCase       (  self      ):
				__a           =			['''torchrun''', f'''--nproc_per_node={torch.cuda.device_count()}''', inspect.getfile(self.__class__      )]
				with patch_environment(omp_num_threads=1      ):
						execute_subprocess_async(_a							, env=os.environ.copy()      )





		@require_multi_gpu
		def 			__UpperCAmelCase       (  self      ):
				print(f'''Found {torch.cuda.device_count()} devices, using 2 devices only'''      )
				__a           =			['''torchrun''', f'''--nproc_per_node={torch.cuda.device_count()}''', self.data_loop_file_path]
				with patch_environment(omp_num_threads=1							, cuda_visible_devices='''0,1'''      ):
						execute_subprocess_async(_a							, env=os.environ.copy()      )


if __name__ == "__main__":
				lowercase_			     =  Accelerator()
				lowercase_			     =  (accelerator.state.process_index + 2, 1_0)
				lowercase_			     =  torch.randint(0, 1_0, shape).to(accelerator.device)

				lowercase_			     =  ""

				lowercase_			     =  accelerator.pad_across_processes(tensor)
				if tensora.shape[0] != accelerator.state.num_processes + 1:
								error_msg += F"Found shape {tensora.shape} but should have {accelerator.state.num_processes + 1} at dim 0."
				if not torch.equal(tensora[: accelerator.state.process_index + 2], tensor):
								error_msg += "Tensors have different values."
				if not torch.all(tensora[accelerator.state.process_index + 2 :] == 0):
								error_msg += "Padding was not done with the right value (0)."

				lowercase_			     =  accelerator.pad_across_processes(tensor, pad_first=True)
				if tensora.shape[0] != accelerator.state.num_processes + 1:
								error_msg += F"Found shape {tensora.shape} but should have {accelerator.state.num_processes + 1} at dim 0."
				lowercase_			     =  accelerator.state.num_processes - accelerator.state.process_index - 1
				if not torch.equal(tensora[index:], tensor):
								error_msg += "Tensors have different values."
				if not torch.all(tensora[:index] == 0):
								error_msg += "Padding was not done with the right value (0)."

				# Raise error at the end to make sure we don't stop at the first failure.
				if len(error_msg) > 0:
								raise ValueError(error_msg)






