
import numpy as np


def 						UpperCAmelCase			(	a_		,   a_		,   a_ = 1E-12		,   a_ = 1_0_0		,   )		->	tuple[float, np.ndarray]:







				"""simple docstring"""



				assert np.shape(a_						)[0] == np.shape(a_						)[1]
				# Ensure proper dimensionality.
				assert np.shape(a_						)[0] == np.shape(a_						)[0]
				# Ensure inputs are either both complex or both real
				assert np.iscomplexobj(a_						) == np.iscomplexobj(a_						)
				__A   			= np.iscomplexobj(a_						)
				if is_complex:
								# Ensure complex input_matrix is Hermitian
								assert np.array_equal(a_		,   input_matrix.conj().T						)

				# Set convergence to False. Will define convergence when we exceed max_iterations
				# or when we have small changes from one iteration to next.

				__A   			= False
				__A   			= 0
				__A   			= 0
				__A   			= 1E12

				while not convergence:
								# Multiple matrix by the vector.
								__A   			= np.dot(a_		,   a_						)
								# Normalize the resulting output vector.
								__A   			= w / np.linalg.norm(a_						)
								# Find rayleigh quotient
								# (faster than usual b/c we know vector is normalized already)
								__A   			= vector.conj().T if is_complex else vector.T
								__A   			= np.dot(a_		,   np.dot(a_		,   a_						)						)

								# Check convergence.
								__A   			= np.abs(lambda_ - lambda_previous						) / lambda_
								iterations += 1

								if error <= error_tol or iterations >= max_iterations:
												__A   			= True

								__A   			= lambda_

				if is_complex:
								__A   			= np.real(lambda_						)

				return lambda_, vector


def 						UpperCAmelCase			(	)		->	None:







				"""simple docstring"""



				__A   			= np.array([[4_1, 4, 2_0], [4, 2_6, 3_0], [2_0, 3_0, 5_0]]						)
				__A   			= np.array([4_1, 4, 2_0]						)
				__A   			= real_input_matrix.astype(np.complexaaa						)
				__A   			= np.triu(1J * complex_input_matrix		,   1						)
				complex_input_matrix += imag_matrix
				complex_input_matrix += -1 * imag_matrix.T
				__A   			= np.array([4_1, 4, 2_0]						).astype(np.complexaaa						)

				for problem_type in ["real", "complex"]:
								if problem_type == "real":
												__A   			= real_input_matrix
												__A   			= real_vector
								elif problem_type == "complex":
												__A   			= complex_input_matrix
												__A   			= complex_vector

								# Our implementation.
								__A			,							__A   			= power_iteration(a_		,   a_						)

								# Numpy implementation.

								# Get eigenvalues and eigenvectors using built-in numpy
								# eigh (eigh used for symmetric or hermetian matrices).
								__A			,							__A   			= np.linalg.eigh(a_						)
								# Last eigenvalue is the maximum one.
								__A   			= eigen_values[-1]
								# Last column in this matrix is eigenvector corresponding to largest eigenvalue.
								__A   			= eigen_vectors[:, -1]

								# Check our implementation and numpy gives close answers.
								assert np.abs(eigen_value - eigen_value_max						) <= 1E-6
								# Take absolute values element wise of each eigenvector.
								# as they are only unique to a minus sign.
								assert np.linalg.norm(np.abs(a_						) - np.abs(a_						)						) <= 1E-6


if __name__ == "__main__":
					import doctest

					doctest.testmod()
					test_power_iteration()




"""simple docstring"""







# Lint as: python3
import os
import re
import urllib.parse
from pathlib import Path
from typing import Callable, List, Optional, Union
from zipfile import ZipFile

from ..utils.file_utils import cached_path, hf_github_url
from ..utils.logging import get_logger
from ..utils.version import Version


lowerCAmelCase__      				=   get_logger(__name__)


class       SCREAMING_SNAKE_CASE__				:
       """simple docstring"""


       a  :				Optional[Any]   ="dummy_data"
       a  :				int   ="datasets"
       a  :				Tuple   =False

       def __init__(						self		,     snake_case__		,     snake_case__		,     snake_case__		,     snake_case__ = None		,     snake_case__ = False		,     snake_case__ = True		,     snake_case__ = None		,     ):






         """simple docstring"""





         lowerCAmelCase     :     Tuple								=							0
         lowerCAmelCase     :     int								=							dataset_name
         lowerCAmelCase     :     List[Any]								=							cache_dir
         lowerCAmelCase     :     List[str]								=							use_local_dummy_data
         lowerCAmelCase     :     List[str]								=							config
         # download_callbacks take a single url as input
         lowerCAmelCase     :     List[Callable]								=							download_callbacks or []
         # if False, it doesn't load existing files and it returns the paths of the dummy files relative
         # to the dummy_data zip file root
         lowerCAmelCase     :     Tuple								=							load_existing_dummy_data

         # TODO(PVP, QL) might need to make this more general
         lowerCAmelCase     :     Union[str, Any]								=							str(snake_case__						)
         # to be downloaded
         lowerCAmelCase     :     List[Any]								=							None
         lowerCAmelCase     :     List[Any]								=							None

       @property
       def        lowercase__							(						self						):






         """simple docstring"""





         if self._dummy_file is None:
           lowerCAmelCase     :     Any								=							self.download_dummy_data()
         return self._dummy_file

       @property
       def        lowercase__							(						self						):






         """simple docstring"""





         if self.config is not None:
           # structure is dummy / config_name / version_name
           return os.path.join("dummy"		,     self.config.name		,     self.version_name						)
         # structure is dummy / version_name
         return os.path.join("dummy"		,     self.version_name						)

       @property
       def        lowercase__							(						self						):






         """simple docstring"""





         return os.path.join(self.dummy_data_folder		,     "dummy_data.zip"						)

       def        lowercase__							(						self						):






         """simple docstring"""





         lowerCAmelCase     :     Optional[Any]								=							(
             self.local_path_to_dummy_data if self.use_local_dummy_data is True else self.github_path_to_dummy_data
         )

         lowerCAmelCase     :     str								=							cached_path(
             snake_case__		,     cache_dir=self.cache_dir		,     extract_compressed_file=snake_case__		,     force_extract=snake_case__						)

         return os.path.join(snake_case__		,     self.dummy_file_name						)

       @property
       def        lowercase__							(						self						):






         """simple docstring"""





         return os.path.join(self.datasets_scripts_dir		,     self.dataset_name		,     self.dummy_zip_file						)

       @property
       def        lowercase__							(						self						):






         """simple docstring"""





         if self._bucket_url is None:
           lowerCAmelCase     :     Union[str, Any]								=							hf_github_url(self.dataset_name		,     self.dummy_zip_file.replace(os.sep		,     "/"						)						)
         return self._bucket_url

       @property
       def        lowercase__							(						self						):






         """simple docstring"""





         if os.path.isdir(self.dummy_file						):
           return self.dummy_file
         # else cut off path to file -> example `xsum`.
         return "/".join(self.dummy_file.replace(os.sep		,     "/"						).split("/"						)[:-1]						)

       def        lowercase__							(						self		,     snake_case__		,     *snake_case__						):






         """simple docstring"""





         if self.load_existing_dummy_data:
           # dummy data is downloaded and tested
           lowerCAmelCase     :     int								=							self.dummy_file
         else:
           # dummy data cannot be downloaded and only the path to dummy file is returned
           lowerCAmelCase     :     List[Any]								=							self.dummy_file_name

         # special case when data_url is a dict
         if isinstance(snake_case__		,     snake_case__						):
           return self.create_dummy_data_dict(snake_case__		,     snake_case__						)
         elif isinstance(snake_case__		,     (list, tuple)						):
           return self.create_dummy_data_list(snake_case__		,     snake_case__						)
         else:
           return self.create_dummy_data_single(snake_case__		,     snake_case__						)

       def        lowercase__							(						self		,     snake_case__		,     *snake_case__						):






         """simple docstring"""





         return self.download_and_extract(snake_case__						)

       def        lowercase__							(						self		,     snake_case__		,     snake_case__						):






         """simple docstring"""





         return self.download_and_extract(snake_case__						)

       def        lowercase__							(						self		,     snake_case__		,     *snake_case__		,     **snake_case__						):






         """simple docstring"""





         return path

       def        lowercase__							(						self						):






         """simple docstring"""





         return {}

       def        lowercase__							(						self		,     snake_case__		,     snake_case__						):






         """simple docstring"""





         lowerCAmelCase     :     List[Any]								=							{}
         for key, single_urls in data_url.items():
           for download_callback in self.download_callbacks:
             if isinstance(snake_case__		,     snake_case__						):
               for single_url in single_urls:
                 download_callback(snake_case__						)
             else:
               lowerCAmelCase     :     List[str]								=							single_urls
               download_callback(snake_case__						)
            # we force the name of each key to be the last file / folder name of the url path
            # if the url has arguments, we need to encode them with urllib.parse.quote_plus
           if isinstance(snake_case__		,     snake_case__						):
             lowerCAmelCase     :     Tuple								=							[os.path.join(snake_case__		,     urllib.parse.quote_plus(Path(snake_case__						).name						)						) for x in single_urls]
           else:
             lowerCAmelCase     :     int								=							single_urls
             lowerCAmelCase     :     Any								=							os.path.join(snake_case__		,     urllib.parse.quote_plus(Path(snake_case__						).name						)						)
           lowerCAmelCase     :     Union[str, Any]								=							value

         # make sure that values are unique
         if all(isinstance(snake_case__		,     snake_case__						) for i in dummy_data_dict.values()						) and len(set(dummy_data_dict.values()						)						) < len(
             dummy_data_dict.values()						):
           # append key to value to make its name unique
           lowerCAmelCase     :     Union[str, Any]								=							{key: value + key for key, value in dummy_data_dict.items()}

         return dummy_data_dict

       def        lowercase__							(						self		,     snake_case__		,     snake_case__						):






         """simple docstring"""





         lowerCAmelCase     :     Dict								=							[]
         # trick: if there are many shards named like `data.txt-000001-of-00300`, only use the first one
         lowerCAmelCase     :     Optional[Any]								=							all(bool(re.findall("[0-9]{3,}-of-[0-9]{3,}"		,     snake_case__						)						) for url in data_url						)
         lowerCAmelCase     :     Any								=							all(
             url.startswith("https://ftp.ncbi.nlm.nih.gov/pubmed/baseline/pubmed"						) for url in data_url						)
         if data_url and (is_tf_records or is_pubmed_records):
           lowerCAmelCase     :     int								=							[data_url[0]] * len(snake_case__						)
         for single_url in data_url:
           for download_callback in self.download_callbacks:
             download_callback(snake_case__						)
           # we force the name of each key to be the last file / folder name of the url path
           # if the url has arguments, we need to encode them with urllib.parse.quote_plus
           lowerCAmelCase     :     Dict								=							os.path.join(snake_case__		,     urllib.parse.quote_plus(single_url.split("/"						)[-1]						)						)
           dummy_data_list.append(snake_case__						)
         return dummy_data_list

       def        lowercase__							(						self		,     snake_case__		,     snake_case__						):






         """simple docstring"""





         for download_callback in self.download_callbacks:
           download_callback(snake_case__						)
         # we force the name of each key to be the last file / folder name of the url path
         # if the url has arguments, we need to encode them with urllib.parse.quote_plus
         lowerCAmelCase     :     Tuple								=							os.path.join(snake_case__		,     urllib.parse.quote_plus(data_url.split("/"						)[-1]						)						)
         if os.path.exists(snake_case__						) or not self.load_existing_dummy_data:
           return value
         else:
           # Backward compatibility, maybe deprecate at one point.
           # For many datasets with single url calls to dl_manager.download_and_extract,
           # the dummy_data.zip file is actually the zipped downloaded file
           # while now we expected the dummy_data.zip file to be a directory containing
           # the downloaded file.
           return path_to_dummy_data

       def        lowercase__							(						self						):






         """simple docstring"""





         pass

       def        lowercase__							(						self						):






         """simple docstring"""





         pass

       def        lowercase__							(						self		,     snake_case__						):






         """simple docstring"""





         def _iter_archive_members(snake_case__						):
           # this preserves the order of the members inside the ZIP archive
           lowerCAmelCase     :     str								=							Path(self.dummy_file						).parent
           lowerCAmelCase     :     Optional[Any]								=							path.relative_to(snake_case__						)
           with ZipFile(self.local_path_to_dummy_data						) as zip_file:
             lowerCAmelCase     :     List[Any]								=							zip_file.namelist()
           for member in members:
             if member.startswith(relative_path.as_posix()						):
               yield dummy_parent_path.joinpath(snake_case__						)

         lowerCAmelCase     :     List[Any]								=							Path(snake_case__						)
         lowerCAmelCase     :     str								=							_iter_archive_members(snake_case__						) if self.use_local_dummy_data else path.rglob("*"						)
         for file_path in file_paths:
           if file_path.is_file() and not file_path.name.startswith((".", "__")						):
             yield file_path.relative_to(snake_case__						).as_posix(), file_path.open("rb"						)







       def        lowercase__							(						self		,     snake_case__						):






         """simple docstring"""





         if not isinstance(snake_case__		,     snake_case__						):
           lowerCAmelCase     :     List[Any]								=							[paths]
         for path in paths:
           if os.path.isfile(snake_case__						):
             if os.path.basename(snake_case__						).startswith((".", "__")						):
               return
             yield path
           else:
             for dirpath, dirnames, filenames in os.walk(snake_case__						):
               if os.path.basename(snake_case__						).startswith((".", "__")						):
                 continue
               dirnames.sort()
               for filename in sorted(snake_case__						):
                 if filename.startswith((".", "__")						):
                   continue
                 yield os.path.join(snake_case__		,     snake_case__						)





