

from typing import Any

import numpy as np





def      snake_case_				(__A					:						np.ndarray					)      ->     bool:
   return np.array_equal(__A ,       matrix.conjugate().T					)





def      snake_case_				(__A					:						np.ndarray ,       __A					:						np.ndarray					)      ->     Any:
   __lowerCAmelCase  :      Optional[int]    =						v.conjugate().T
   __lowerCAmelCase  :      Optional[int]    =						v_star.dot(__A					)
   assert isinstance(__A ,       np.ndarray					)
   return (v_star_dot.dot(__A					)) / (v_star.dot(__A					))





def      snake_case_				()      ->     None:
   __lowerCAmelCase  :      Optional[int]    =						np.array([[2, 2 + 1j, 4], [2 - 1j, 3, 1j], [4, -1j, 1]]					)
   __lowerCAmelCase  :      int    =						np.array([[1], [2], [3]]					)
   assert is_hermitian(__A					), f'''{a} is not hermitian.'''
   print(rayleigh_quotient(__A ,       __A					)					)

   __lowerCAmelCase  :      Union[str, Any]    =						np.array([[1, 2, 4], [2, 3, -1], [4, -1, 1]]					)
   assert is_hermitian(__A					), f'''{a} is not hermitian.'''
   assert rayleigh_quotient(__A ,       __A					) == float(3					)


if __name__ == "__main__":
   import doctest

   doctest.testmod()
   tests()





# Lint as: python3
# pylint: enable=line-too-long
# pylint: disable=g-import-not-at-top,g-bad-import-order,wrong-import-position

__UpperCAmelCase								=			"""2.13.1"""

import platform

import pyarrow
from packaging import version


if version.parse(platform.python_version()) < version.parse("""3.7"""):
   raise ImportWarning(
       """To use `datasets`, Python>=3.7 is required, and the current version of Python doesn't match this condition."""
   )

if version.parse(pyarrow.__version__).major < 8:
   raise ImportWarning(
       """To use `datasets`, the module `pyarrow>=8.0.0` is required, and the current version of `pyarrow` doesn't match this condition.\n"""
       """If you are running this in a Google Colab, you should probably just restart the runtime to use the right version of `pyarrow`."""
   )

del platform
del pyarrow
del version

from .arrow_dataset import Dataset
from .arrow_reader import ReadInstruction
from .builder import ArrowBasedBuilder, BeamBasedBuilder, BuilderConfig, DatasetBuilder, GeneratorBasedBuilder
from .combine import concatenate_datasets, interleave_datasets
from .dataset_dict import DatasetDict, IterableDatasetDict
from .download import *
from .features import *
from .fingerprint import disable_caching, enable_caching, is_caching_enabled, set_caching_enabled
from .info import DatasetInfo, MetricInfo
from .inspect import (
    get_dataset_config_info,
    get_dataset_config_names,
    get_dataset_infos,
    get_dataset_split_names,
    inspect_dataset,
    inspect_metric,
    list_datasets,
    list_metrics,
)
from .iterable_dataset import IterableDataset
from .load import load_dataset, load_dataset_builder, load_from_disk, load_metric
from .metric import Metric
from .splits import (
    NamedSplit,
    NamedSplitAll,
    Split,
    SplitBase,
    SplitDict,
    SplitGenerator,
    SplitInfo,
    SubSplitInfo,
    percent,
)
from .tasks import *
from .utils import *
from .utils import logging


# deprecated modules
from datasets import arrow_dataset as _arrow_dataset  # isort:skip
from datasets import utils as _utils  # isort:skip
from datasets.utils import download_manager as _deprecated_download_manager  # isort:skip

__UpperCAmelCase								=			concatenate_datasets
__UpperCAmelCase								=			DownloadConfig
__UpperCAmelCase								=			DownloadManager
__UpperCAmelCase								=			DownloadMode
__UpperCAmelCase								=			DownloadConfig
__UpperCAmelCase								=			DownloadMode
__UpperCAmelCase								=			DownloadManager

del _arrow_dataset, _utils, _deprecated_download_manager


