




'''simple docstring'''







import math






def 		_lowercase		(	lowercase_  ):



		'''simple docstring'''







		if not isinstance(lowercase_						,							lowercase_  ):
				_snake_case	       =       f'''Input value of [number={number}] must be an integer'''
				raise TypeError(lowercase_  )
		if number < 1:
				_snake_case	       =       f'''Input value of [number={number}] must be a positive integer'''
				raise ValueError(lowercase_  )
		_snake_case	       =       [number]
		while number != 1:
				if number % 2 == 0:
						_snake_case	       =       math.floor(math.sqrt(lowercase_  )  )
				else:
						_snake_case	       =       math.floor(
						    math.sqrt(lowercase_  ) * math.sqrt(lowercase_  ) * math.sqrt(lowercase_  )  )
				sequence.append(lowercase_  )
		return sequence


if __name__ == "__main__":
						import doctest

						doctest.testmod()









"""simple docstring"""


import importlib
import inspect
from functools import wraps
from typing import TYPE_CHECKING, Optional, Union

from .download.streaming_download_manager import (
    xbasename,
    xdirname,
    xet_parse,
    xexists,
    xgetsize,
    xglob,
    xgzip_open,
    xisdir,
    xisfile,
    xjoin,
    xlistdir,
    xnumpy_load,
    xopen,
    xpandas_read_csv,
    xpandas_read_excel,
    xPath,
    xrelpath,
    xsio_loadmat,
    xsplit,
    xsplitext,
    xwalk,
    xxml_dom_minidom_parse,
)
from .utils.logging import get_logger
from .utils.patching import patch_submodule
from .utils.py_utils import get_imports


a_											=			get_logger(__name__)


if TYPE_CHECKING:
		from .builder import DatasetBuilder






def    a__       ( __lowercase   ,	__lowercase = None      )		->		Optional[Any]:
				_A         =	importlib.import_module(__lowercase      )

				# TODO(QL): always update the module to add subsequent new authentication
				if hasattr(__lowercase   ,	"_patched_for_streaming"      ) and module._patched_for_streaming:
								return

				def wrap_auth(__lowercase      ):
								@wraps(__lowercase      )
								def wrapper(*__lowercase   ,	**__lowercase      ):
												return function(*__lowercase   ,	use_auth_token=__lowercase   ,	**__lowercase      )

								_A         =	"wrap_auth"
								return wrapper

				# open files in a streaming fashion
				patch_submodule(__lowercase   ,	"open"   ,	wrap_auth(__lowercase      )      ).start()
				patch_submodule(__lowercase   ,	"os.listdir"   ,	wrap_auth(__lowercase      )      ).start()
				patch_submodule(__lowercase   ,	"os.walk"   ,	wrap_auth(__lowercase      )      ).start()
				patch_submodule(__lowercase   ,	"glob.glob"   ,	wrap_auth(__lowercase      )      ).start()
				# allow to navigate in remote zip files
				patch_submodule(__lowercase   ,	"os.path.join"   ,	__lowercase      ).start()
				patch_submodule(__lowercase   ,	"os.path.dirname"   ,	__lowercase      ).start()
				patch_submodule(__lowercase   ,	"os.path.basename"   ,	__lowercase      ).start()
				patch_submodule(__lowercase   ,	"os.path.relpath"   ,	__lowercase      ).start()
				patch_submodule(__lowercase   ,	"os.path.split"   ,	__lowercase      ).start()
				patch_submodule(__lowercase   ,	"os.path.splitext"   ,	__lowercase      ).start()
				# allow checks on paths
				patch_submodule(__lowercase   ,	"os.path.exists"   ,	wrap_auth(__lowercase      )      ).start()
				patch_submodule(__lowercase   ,	"os.path.isdir"   ,	wrap_auth(__lowercase      )      ).start()
				patch_submodule(__lowercase   ,	"os.path.isfile"   ,	wrap_auth(__lowercase      )      ).start()
				patch_submodule(__lowercase   ,	"os.path.getsize"   ,	wrap_auth(__lowercase      )      ).start()
				patch_submodule(__lowercase   ,	"pathlib.Path"   ,	__lowercase      ).start()
				# file readers
				patch_submodule(__lowercase   ,	"gzip.open"   ,	wrap_auth(__lowercase      )      ).start()
				patch_submodule(__lowercase   ,	"numpy.load"   ,	wrap_auth(__lowercase      )      ).start()
				patch_submodule(__lowercase   ,	"pandas.read_csv"   ,	wrap_auth(__lowercase      )   ,	attrs=["__version__"]      ).start()
				patch_submodule(__lowercase   ,	"pandas.read_excel"   ,	wrap_auth(__lowercase      )   ,	attrs=["__version__"]      ).start()
				patch_submodule(__lowercase   ,	"scipy.io.loadmat"   ,	wrap_auth(__lowercase      )   ,	attrs=["__version__"]      ).start()
				patch_submodule(__lowercase   ,	"xml.etree.ElementTree.parse"   ,	wrap_auth(__lowercase      )      ).start()
				patch_submodule(__lowercase   ,	"xml.dom.minidom.parse"   ,	wrap_auth(__lowercase      )      ).start()
				_A         =	True






def    a__       ( __lowercase      )		->		str:
				extend_module_for_streaming(builder.__module__   ,	use_auth_token=builder.use_auth_token      )
				# if needed, we also have to extend additional internal imports (like wmt14 -> wmt_utils)
				if not builder.__module__.startswith("datasets."      ):  # check that it's not a packaged builder like csv
								for imports in get_imports(inspect.getfile(builder.__class__      )      ):
												if imports[0] == "internal":
																_A         =	imports[1]
																_A         =	".".join(builder.__module__.split("."      )[:-1] + [internal_import_name]      )
																extend_module_for_streaming(__lowercase   ,	use_auth_token=builder.use_auth_token      )

    # builders can inherit from other builders that might use streaming functionality
    # (for example, ImageFolder and AudioFolder inherit from FolderBuilder which implements examples generation)
    # but these parents builders are not patched automatically as they are not instantiated, so we patch them here
				from .builder import DatasetBuilder

				_A         =	[
				    cls.__module__
				    for cls in type(__lowercase      ).__mro__[1:]  # make sure it's not the same module we've already patched
				    if issubclass(cls   ,	__lowercase      ) and cls.__module__ != DatasetBuilder.__module__
				]  # check it's not a standard builder from datasets.builder
				for module in parent_builder_modules:
								extend_module_for_streaming(__lowercase   ,	use_auth_token=builder.use_auth_token      )