from __future__ import annotations

import numpy as np




def     UpperCamelCase						(	__lowercase						:			np.ndarray     ):
		'''simple docstring'''




		A_       ,      A_		:    Optional[int]         =				np.shape(__lowercase     )
		if rows != columns:
				A_		:    Union[str, Any]         =				(
				    '\'table\' has to be of square shaped array but got a '
				    f'''{rows}x{columns} array:\n{table}'''
				)
				raise ValueError(__lowercase     )

		A_		:    str         =				np.zeros((rows, columns)     )
		A_		:    Union[str, Any]         =				np.zeros((rows, columns)     )
		for i in range(__lowercase     ):
				for j in range(__lowercase     ):
						A_		:    List[str]         =				sum(lower[i][k] * upper[k][j] for k in range(__lowercase     )     )
						if upper[j][j] == 0:
								raise ArithmeticError('No LU decomposition exists'     )
						A_		:    int         =				(table[i][j] - total) / upper[j][j]
				A_		:    int         =				1
				for j in range(__lowercase						,__lowercase     ):
						A_		:    Union[str, Any]         =				sum(lower[i][k] * upper[k][j] for k in range(__lowercase     )     )
						A_		:    Union[str, Any]         =				table[i][j] - total
		return lower, upper


if __name__ == "__main__":
	import doctest

	doctest.testmod()







import sys

from .dependency_versions_table import deps
from .utils.versions import require_version, require_version_core


# define which module versions we always want to check at run time
# (usually the ones defined in `install_requires` in setup.py)
#
# order specific notes:
# - tqdm must be checked before tokenizers

_UpperCAmelCase            =		"""python tqdm regex requests packaging filelock numpy tokenizers""".split()
if sys.version_info < (3, 7):
	pkgs_to_check_at_runtime.append("""dataclasses""")
if sys.version_info < (3, 8):
	pkgs_to_check_at_runtime.append("""importlib_metadata""")

for pkg in pkgs_to_check_at_runtime:
	if pkg in deps:
		if pkg == "tokenizers":
			# must be loaded here, or else tqdm check may fail
			from .utils import is_tokenizers_available

			if not is_tokenizers_available():
				continue  # not required, check version only if installed

		require_version_core(deps[pkg])
	else:
		raise ValueError(F"""can't find {pkg} in {deps.keys()}, check dependency_versions_table.py""")




def     UpperCamelCase						(	__lowercase						:			str						,__lowercase						:			Dict=None     ):
		'''simple docstring'''




		require_version(deps[pkg]						,__lowercase     )






