






"""simple docstring"""







import contextlib
from multiprocessing import Pool, RLock

from tqdm.auto import tqdm

from ..utils import experimental, logging


lowerCAmelCase_						:     Optional[Any]							  =   logging.get_logger(__name__)





class 	UpperCamelCase_			:
  _A							:       List[Any]					=						None






@experimental
def    _lowerCAmelCase							(   lowerCAmelCase						,   lowerCAmelCase						,   lowerCAmelCase						,   lowerCAmelCase						,   lowerCAmelCase						,   lowerCAmelCase						,   lowerCAmelCase		):







       '''simple docstring'''





       if ParallelBackendConfig.backend_name is None:
              return _map_with_multiprocessing_pool(
                  A__						,   A__						,   A__						,   A__						,   A__						,   A__						,   A__		)

       return _map_with_joblib(A__						,   A__						,   A__						,   A__						,   A__						,   A__						,   A__		)






def    _lowerCAmelCase							(   lowerCAmelCase						,   lowerCAmelCase						,   lowerCAmelCase						,   lowerCAmelCase						,   lowerCAmelCase						,   lowerCAmelCase						,   lowerCAmelCase		):







       '''simple docstring'''
       UpperCAmelCase						     =      num_proc if num_proc <= len(A__		) else len(A__		)
       UpperCAmelCase						     =      []  # We organize the splits ourselve (contiguous splits)
       for index in range(A__		):
              UpperCAmelCase						     =      len(A__		) // num_proc
              UpperCAmelCase						     =      len(A__		) % num_proc
              UpperCAmelCase						     =      div * index + min(A__						,   A__		)
              UpperCAmelCase						     =      start + div + (1 if index < mod else 0)
              split_kwds.append((function, iterable[start:end], types, index, disable_tqdm, desc)		)

       if len(A__		) != sum(len(i[1]		) for i in split_kwds		):
              raise ValueError(
                  F'''Error dividing inputs iterable among processes. '''
                  F'''Total number of objects {len(A__		)}, '''
                  F'''length: {sum(len(i[1]		) for i in split_kwds		)}'''		)

       logger.info(
           F'''Spawning {num_proc} processes for {len(A__		)} objects in slices of {[len(i[1]		) for i in split_kwds]}'''		)
       UpperCAmelCase						     =      None, None
       if not disable_tqdm:
              UpperCAmelCase						     =      (RLock(),), tqdm.set_lock
       with Pool(A__						,   initargs=A__						,   initializer=A__		) as pool:
              UpperCAmelCase						     =      pool.map(A__						,   A__		)
       logger.info(F'''Finished {num_proc} processes'''		)
       UpperCAmelCase						     =      [obj for proc_res in mapped for obj in proc_res]
       logger.info(F'''Unpacked {len(A__		)} objects'''		)

       return mapped






def    _lowerCAmelCase							(   lowerCAmelCase						,   lowerCAmelCase						,   lowerCAmelCase						,   lowerCAmelCase						,   lowerCAmelCase						,   lowerCAmelCase						,   lowerCAmelCase		):







       '''simple docstring'''
       import joblib

       with joblib.parallel_backend(ParallelBackendConfig.backend_name						,   n_jobs=A__		):
              return joblib.Parallel()(
                  joblib.delayed(A__		)((function, obj, types, None, True, None)		) for obj in iterable		)






@experimental
@contextlib.contextmanager
def    _lowerCAmelCase							(   lowerCAmelCase		):







       '''simple docstring'''
       UpperCAmelCase						     =      backend_name

       if backend_name == "spark":
              from joblibspark import register_spark

              register_spark()

              # TODO: call create_cache_and_write_probe if "download" in steps
              # TODO: raise NotImplementedError when Dataset.map etc is called

       try:
              yield
       finally:
              UpperCAmelCase						     =      None




'''simple docstring'''






def 							UpperCamelCase_     (       A__   :  list[list[int | float]]   ):
  '''simple docstring'''





  lowerCAmelCase_     : List[str]     =  len(A__   )
  lowerCAmelCase_     : Union[str, Any]     =  len(matrix[0]   )
  lowerCAmelCase_     : Optional[int]     =  min(A__				,       A__   )

  for row in range(A__   ):
    # Check if diagonal element is not zero
    if matrix[row][row] != 0:
      # Eliminate all the elements below the diagonal
      for col in range(row + 1				,       A__   ):
        lowerCAmelCase_     : int     =  matrix[col][row] / matrix[row][row]
        for i in range(A__				,       A__   ):
          matrix[col][i] -= multiplier * matrix[row][i]
    else:
      # Find a non-zero diagonal element to swap rows
      lowerCAmelCase_     : int     =  True
      for i in range(row + 1				,       A__   ):
        if matrix[i][row] != 0:
          lowerCAmelCase_,				lowerCAmelCase_     : List[Any]     =  matrix[i], matrix[row]
          lowerCAmelCase_     : Dict     =  False
          break
      if reduce:
        rank -= 1
        for i in range(A__   ):
          lowerCAmelCase_     : List[Any]     =  matrix[i][rank]

            # Reduce the row pointer by one to stay on the same row
      row -= 1

  return rank


if __name__ == "__main__":
  import doctest

  doctest.testmod()



