

from __future__ import annotations






def    __lowercase (       _A     )       ->  list[int]:






      if not list_of_ints:
            return []

      if min(_A     ) < 0:
            raise ValueError("""All numbers must be positive"""     )

      SCREAMING_SNAKE_CASE	: Tuple					       =				max(len(bin(_A     )[2:]     ) for x in list_of_ints     )
      return _msd_radix_sort(_A  ,      _A     )






def    __lowercase (       _A  ,      _A     )       ->  list[int]:






      if bit_position == 0 or len(_A     ) in [0, 1]:
            return list_of_ints

      SCREAMING_SNAKE_CASE	: List[str]					       =				[]
      SCREAMING_SNAKE_CASE	: Any					       =				[]
      # Split numbers based on bit at bit_position from the right
      for number in list_of_ints:
            if (number >> (bit_position - 1)) & 1:
                  # number has a one at bit bit_position
                  ones.append(_A     )
            else:
                  # number has a zero at bit bit_position
                  zeros.append(_A     )

                   # recursively split both lists further
      SCREAMING_SNAKE_CASE	: Dict					       =				_msd_radix_sort(_A  ,      bit_position - 1     )
      SCREAMING_SNAKE_CASE	: Union[str, Any]					       =				_msd_radix_sort(_A  ,      bit_position - 1     )

      # recombine lists
      SCREAMING_SNAKE_CASE	: List[str]					       =				zeros
      res.extend(_A     )

      return res






def    __lowercase (       _A     )       ->  List[str]:
      SCREAMING_SNAKE_CASE	: Optional[int]					       =				len(_A     )
      if not list_of_ints or length == 1:
            return

      if min(_A     ) < 0:
            raise ValueError("""All numbers must be positive"""     )

      SCREAMING_SNAKE_CASE	: Optional[int]					       =				max(len(bin(_A     )[2:]     ) for x in list_of_ints     )
      _msd_radix_sort_inplace(_A  ,      _A  ,      0  ,      _A     )






def    __lowercase (       _A  ,      _A  ,      _A  ,      _A     )       ->  str:






      if bit_position == 0 or end_index - begin_index <= 1:
            return

      bit_position -= 1

      SCREAMING_SNAKE_CASE	: Optional[int]					       =				begin_index
      SCREAMING_SNAKE_CASE	: Optional[Any]					       =				end_index - 1
      while i <= j:
            SCREAMING_SNAKE_CASE	: Any					       =				False
            if not (list_of_ints[i] >> bit_position) & 1:
                  # found zero at the beginning
                  i += 1
                  SCREAMING_SNAKE_CASE	: Optional[Any]					       =				True
            if (list_of_ints[j] >> bit_position) & 1:
                  # found one at the end
                  j -= 1
                  SCREAMING_SNAKE_CASE	: List[str]					       =				True

            if changed:
                  continue

            SCREAMING_SNAKE_CASE	: Union[str, Any]					       =				list_of_ints[j], list_of_ints[i]
            j -= 1
            if j != i:
                  i += 1

      _msd_radix_sort_inplace(_A  ,      _A  ,      _A  ,      _A     )
      _msd_radix_sort_inplace(_A  ,      _A  ,      _A  ,      _A     )


if __name__ == "__main__":
  import doctest

  doctest.testmod()







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[int]						)   ->Tuple:
        """simple docstring"""







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


  @require_cpu
  def 	_lowercase (     self      :	Optional[int]						)   ->str:
        """simple docstring"""







        debug_launcher(test_sync.main			,			num_processes=1						)


  @require_cpu
  def 	_lowercase (     self      :	Optional[int]						)   ->int:
        """simple docstring"""







        debug_launcher(test_sync.main						)


  @require_single_gpu
  def 	_lowercase (     self      :	str						)   ->Any:
        """simple docstring"""







        test_sync.main()




  @require_multi_gpu
  def 	_lowercase (     self      :	Union[str, Any]						)   ->List[Any]:
        """simple docstring"""







        print(f"Found {torch.cuda.device_count()} devices."						)
        SCREAMING_SNAKE_CASE	: List[str]					       =				["""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()						)




