



import unittest

import numpy as np






def     a(      A       :    Optional[int] ,     A       :    Optional[Any] ,     A       :    List[str] ,     A       :    str = None ,     )		->       Tuple:
					"""simple docstring"""





					a					     =   np.shape(lowerCamelCase__       )
					a					     =   np.shape(lowerCamelCase__       )
					a					     =   np.shape(lowerCamelCase__       )

					if shape_a[0] != shape_b[0]:
										a					     =   (
										    """Expected the same number of rows for A and B. """
										    f'''Instead found A of size {shape_a} and B of size {shape_b}'''
										)
										raise ValueError(lowerCamelCase__       )

					if shape_b[1] != shape_c[1]:
										a					     =   (
										    """Expected the same number of columns for B and C. """
										    f'''Instead found B of size {shape_b} and C of size {shape_c}'''
										)
										raise ValueError(lowerCamelCase__       )

					a					     =   pseudo_inv
					if a_inv is None:
										try:
															a					     =   np.linalg.inv(lowerCamelCase__       )
										except np.linalg.LinAlgError:
															raise ValueError(
															    "Input matrix A is not invertible. Cannot compute Schur complement."       )

					return mat_c - mat_b.T @ a_inv @ mat_b



class 	_lowercase							(   unittest.TestCase	):





	"""simple docstring"""




	def      UpperCamelCase_       (self		):
						"""simple docstring"""

						a					     =   np.array([[1, 2, 1], [2, 1, 2], [3, 2, 4]]		)
						a					     =   np.array([[0, 3], [3, 0], [2, 3]]		)
						a					     =   np.array([[2, 1], [6, 3]]		)

						a					     =   schur_complement(lowerCamelCase_		,       lowerCamelCase_		,       lowerCamelCase_		)

						a					     =   np.block([[a, b], [b.T, c]]		)

						a					     =   np.linalg.det(lowerCamelCase_		)
						a					     =   np.linalg.det(lowerCamelCase_		)
						a					     =   np.linalg.det(lowerCamelCase_		)

						self.assertAlmostEqual(lowerCamelCase_		,       det_a * det_s		)




	def      UpperCamelCase_       (self		):
						"""simple docstring"""

						a					     =   np.array([[1, 2, 1], [2, 1, 2], [3, 2, 4]]		)
						a					     =   np.array([[0, 3], [3, 0], [2, 3]]		)
						a					     =   np.array([[2, 1], [6, 3]]		)

						with self.assertRaises(lowerCamelCase_		):
											schur_complement(lowerCamelCase_		,       lowerCamelCase_		,       lowerCamelCase_		)




	def      UpperCamelCase_       (self		):
						"""simple docstring"""

						a					     =   np.array([[1, 2, 1], [2, 1, 2], [3, 2, 4]]		)
						a					     =   np.array([[0, 3], [3, 0], [2, 3]]		)
						a					     =   np.array([[2, 1, 3], [6, 3, 5]]		)

						with self.assertRaises(lowerCamelCase_		):
											schur_complement(lowerCamelCase_		,       lowerCamelCase_		,       lowerCamelCase_		)


if __name__ == "__main__":
				import doctest

				doctest.testmod()
				unittest.main()





'''simple docstring'''




# Copyright 2021 The HuggingFace Team. All rights reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.

import argparse

from .config import config_command_parser
from .config_args import default_config_file, load_config_from_file  # noqa: F401
from .default import default_command_parser
from .update import update_command_parser



def 	a			( lowerCamelCase__=None    ):
			'''simple docstring'''





			A_	:						int	=     argparse.ArgumentParser(add_help=lowerCamelCase__						,      allow_abbrev=lowerCamelCase__    )
			# The main config parser
			A_	:						int	=     config_command_parser(lowerCamelCase__    )
			# The subparser to add commands to
			A_	:						int	=     config_parser.add_subparsers(title="""subcommands"""						,      dest="""subcommand"""    )

			# Then add other parsers with the parent parser
			default_command_parser(lowerCamelCase__						,      parents=[parent_parser]    )
			update_command_parser(lowerCamelCase__						,      parents=[parent_parser]    )

			return config_parser



def 	a			( ):
			'''simple docstring'''





			A_	:						Optional[int]	=     get_config_parser()
			A_	:						List[str]	=     config_parser.parse_args()

			if not hasattr(lowerCamelCase__						,      """func"""    ):
						config_parser.print_help()
						exit(1    )

			# Run
			args.func(lowerCamelCase__    )


if __name__ == "__main__":
						main()