


"""simple docstring"""






import unittest

import numpy as np


def __lowercase     (      lowerCamelCase_  :      int						,					lowerCamelCase_  :      Union[str, Any]						,					lowerCamelCase_  :      int						,					lowerCamelCase_  :      str = None						,					):
				SCREAMING_SNAKE_CASE__     							=				np.shape(__lowerCAmelCase  )
				SCREAMING_SNAKE_CASE__     							=				np.shape(__lowerCAmelCase  )
				SCREAMING_SNAKE_CASE__     							=				np.shape(__lowerCAmelCase  )

				if shape_a[0] != shape_b[0]:
								SCREAMING_SNAKE_CASE__     							=				(
								    """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]:
								SCREAMING_SNAKE_CASE__     							=				(
								    """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  )

				SCREAMING_SNAKE_CASE__     							=				pseudo_inv
				if a_inv is None:
								try:
												SCREAMING_SNAKE_CASE__     							=				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 			lowerCamelCase_		(			unittest.TestCase   ):





				"""simple docstring"""







				def   lowerCAmelCase__		(						self     ):
								SCREAMING_SNAKE_CASE__     							=				np.array([[1, 2, 1], [2, 1, 2], [3, 2, 4]]     )
								SCREAMING_SNAKE_CASE__     							=				np.array([[0, 3], [3, 0], [2, 3]]     )
								SCREAMING_SNAKE_CASE__     							=				np.array([[2, 1], [6, 3]]     )

								SCREAMING_SNAKE_CASE__     							=				schur_complement(_a       ,		_a       ,		_a     )

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

								SCREAMING_SNAKE_CASE__     							=				np.linalg.det(_a     )
								SCREAMING_SNAKE_CASE__     							=				np.linalg.det(_a     )
								SCREAMING_SNAKE_CASE__     							=				np.linalg.det(_a     )

								self.assertAlmostEqual(_a       ,		det_a * det_s     )



				def   lowerCAmelCase__		(						self     ):
								SCREAMING_SNAKE_CASE__     							=				np.array([[1, 2, 1], [2, 1, 2], [3, 2, 4]]     )
								SCREAMING_SNAKE_CASE__     							=				np.array([[0, 3], [3, 0], [2, 3]]     )
								SCREAMING_SNAKE_CASE__     							=				np.array([[2, 1], [6, 3]]     )

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






				def   lowerCAmelCase__		(						self     ):
								SCREAMING_SNAKE_CASE__     							=				np.array([[1, 2, 1], [2, 1, 2], [3, 2, 4]]     )
								SCREAMING_SNAKE_CASE__     							=				np.array([[0, 3], [3, 0], [2, 3]]     )
								SCREAMING_SNAKE_CASE__     							=				np.array([[2, 1, 3], [6, 3, 5]]     )

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


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.

from argparse import ArgumentParser

from accelerate.commands.config import get_config_parser
from accelerate.commands.env import env_command_parser
from accelerate.commands.launch import launch_command_parser
from accelerate.commands.test import test_command_parser
from accelerate.commands.tpu import tpu_command_parser


def __lowercase     (      ):
				SCREAMING_SNAKE_CASE__     							=				ArgumentParser("Accelerate CLI tool"						,					usage="accelerate <command> [<args>]"						,					allow_abbrev=lowerCamelCase_  )
				SCREAMING_SNAKE_CASE__     							=				parser.add_subparsers(help="accelerate command helpers"  )

				# Register commands
				get_config_parser(subparsers=lowerCamelCase_  )
				env_command_parser(subparsers=lowerCamelCase_  )
				launch_command_parser(subparsers=lowerCamelCase_  )
				tpu_command_parser(subparsers=lowerCamelCase_  )
				test_command_parser(subparsers=lowerCamelCase_  )

				# Let's go
				SCREAMING_SNAKE_CASE__     							=				parser.parse_args()

				if not hasattr(lowerCamelCase_						,					"func"  ):
								parser.print_help()
								exit(1  )

				# Run
				args.func(lowerCamelCase_  )


if __name__ == "__main__":
	main()
