



import inspect
import warnings
from typing import Any, Dict, Optional, Union

from packaging import version






def  UpperCAmelCase__    (    *lowercase__						,       lowercase__ = None						,       lowercase__=True						,       lowercase__=2   ) ->      List[Any]:
						from .. import __version__

						__lowercase					=				take_from
						__lowercase					=				()
						if not isinstance(args[0]						,       lowercase__   ):
												__lowercase					=				(args,)

						for attribute, version_name, message in args:
												if version.parse(version.parse(lowercase__   ).base_version   ) >= version.parse(lowercase__   ):
																		raise ValueError(
																		    F"The deprecation tuple {(attribute, version_name, message)} should be removed since diffusers'"
																		    F" version {__version__} is >= {version_name}"   )

												__lowercase					=				None
												if isinstance(lowercase__						,       lowercase__   ) and attribute in deprecated_kwargs:
																		values += (deprecated_kwargs.pop(lowercase__   ),)
																		__lowercase					=				F"The `{attribute}` argument is deprecated and will be removed in version {version_name}."
												elif hasattr(lowercase__						,       lowercase__   ):
																		values += (getattr(lowercase__						,       lowercase__   ),)
																		__lowercase					=				F"The `{attribute}` attribute is deprecated and will be removed in version {version_name}."
												elif deprecated_kwargs is None:
																		__lowercase					=				F"`{attribute}` is deprecated and will be removed in version {version_name}."

												if warning is not None:
																		__lowercase					=				warning + """ """ if standard_warn else """"""
																		warnings.warn(warning + message						,       lowercase__						,       stacklevel=lowercase__   )

						if isinstance(lowercase__						,       lowercase__   ) and len(lowercase__   ) > 0:
												__lowercase					=				inspect.getouterframes(inspect.currentframe()   )[1]
												__lowercase					=				call_frame.filename
												__lowercase					=				call_frame.lineno
												__lowercase					=				call_frame.function
												__lowercase	,			__lowercase					=				next(iter(deprecated_kwargs.items()   )   )
												raise TypeError(F"{function} in {filename} line {line_number-1} got an unexpected keyword argument `{key}`"   )

						if len(lowercase__   ) == 0:
												return
						elif len(lowercase__   ) == 1:
												return values[0]
						return values










import unittest

import numpy as np






def  UpperCAmelCase__    (    lowercase__						,       lowercase__						,       lowercase__						,       lowercase__ = None						,       ) ->      np.ndarray:
						__lowercase					=				np.shape(lowercase__   )
						__lowercase					=				np.shape(lowercase__   )
						__lowercase					=				np.shape(lowercase__   )

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

						if shape_b[1] != shape_c[1]:
												__lowercase					=				(
												    """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(lowercase__   )

						__lowercase					=				pseudo_inv
						if a_inv is None:
												try:
																		__lowercase					=				np.linalg.inv(lowercase__   )
												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 		snake_case__			(				self	:       Dict   )						->					None:
									"""simple docstring"""







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

									__lowercase					=				schur_complement(lowercase			,     lowercase			,     lowercase   )

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

									__lowercase					=				np.linalg.det(lowercase   )
									__lowercase					=				np.linalg.det(lowercase   )
									__lowercase					=				np.linalg.det(lowercase   )

									self.assertAlmostEqual(lowercase			,     det_a * det_s   )





			def 		snake_case__			(				self	:       Tuple   )						->					None:
									"""simple docstring"""







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

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







			def 		snake_case__			(				self	:       Tuple   )						->					None:
									"""simple docstring"""







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

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


if __name__ == "__main__":
			import doctest

			doctest.testmod()
			unittest.main()





