




"""simple docstring"""

import unittest

import numpy as np






def 		_snake_case	(   _snake_case				:   np.ndarray							,    _snake_case				:   np.ndarray							,    _snake_case				:   np.ndarray							,    _snake_case				:   np.ndarray | None = None							,    )       ->   np.ndarray:






      '''simple docstring'''


      _A     =  np.shape(_snake_case				)
      _A     =  np.shape(_snake_case				)
      _A     =  np.shape(_snake_case				)

      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(_snake_case				)

      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(_snake_case				)

      _A     =  pseudo_inv
      if a_inv is None:
            try:
                  _A     =  np.linalg.inv(_snake_case				)
            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      lowerCAmelCase_				(					self			:			Optional[int]						):
       _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(_UpperCAmelCase       ,				_UpperCAmelCase       ,				_UpperCAmelCase						)

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

       _A     =  np.linalg.det(_UpperCAmelCase						)
       _A     =  np.linalg.det(_UpperCAmelCase						)
       _A     =  np.linalg.det(_UpperCAmelCase						)

       self.assertAlmostEqual(_UpperCAmelCase       ,				det_a * det_s						)

 def      lowerCAmelCase_				(					self			:			str						):
       _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(_UpperCAmelCase						):
             schur_complement(_UpperCAmelCase       ,				_UpperCAmelCase       ,				_UpperCAmelCase						)



 def      lowerCAmelCase_				(					self			:			List[Any]						):
       _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(_UpperCAmelCase						):
             schur_complement(_UpperCAmelCase       ,				_UpperCAmelCase       ,				_UpperCAmelCase						)


if __name__ == "__main__":
       import doctest

       doctest.testmod()
       unittest.main()







"""simple docstring"""

from ...configuration_utils import PretrainedConfig
from ...utils import logging


a							      =     logging.get_logger(__name__)

a							      =     {
    '''facebook/vit-mae-base''': '''https://huggingface.co/facebook/vit-mae-base/resolve/main/config.json''',
    # See all ViT MAE models at https://huggingface.co/models?filter=vit-mae
}





class 							lowercase_			(	__lowerCAmelCase				):



 '''simple docstring'''
 UpperCAmelCase       :	int     =      '''vit_mae'''

 def __init__(					self			:			Union[str, Any]       ,				_UpperCAmelCase			:			Optional[int]=768       ,				_UpperCAmelCase			:			Tuple=12       ,				_UpperCAmelCase			:			Optional[Any]=12       ,				_UpperCAmelCase			:			Optional[int]=3_072       ,				_UpperCAmelCase			:			Any="gelu"       ,				_UpperCAmelCase			:			Optional[Any]=0.0       ,				_UpperCAmelCase			:			Optional[int]=0.0       ,				_UpperCAmelCase			:			Dict=0.02       ,				_UpperCAmelCase			:			List[Any]=1E-1_2       ,				_UpperCAmelCase			:			Optional[Any]=224       ,				_UpperCAmelCase			:			int=16       ,				_UpperCAmelCase			:			str=3       ,				_UpperCAmelCase			:			Tuple=True       ,				_UpperCAmelCase			:			int=16       ,				_UpperCAmelCase			:			str=512       ,				_UpperCAmelCase			:			int=8       ,				_UpperCAmelCase			:			List[Any]=2_048       ,				_UpperCAmelCase			:			Optional[Any]=0.75       ,				_UpperCAmelCase			:			List[str]=False       ,				**_UpperCAmelCase			:			Union[str, Any]       ,				):
       super().__init__(**_UpperCAmelCase						)

       _A     =  hidden_size
       _A     =  num_hidden_layers
       _A     =  num_attention_heads
       _A     =  intermediate_size
       _A     =  hidden_act
       _A     =  hidden_dropout_prob
       _A     =  attention_probs_dropout_prob
       _A     =  initializer_range
       _A     =  layer_norm_eps
       _A     =  image_size
       _A     =  patch_size
       _A     =  num_channels
       _A     =  qkv_bias
       _A     =  decoder_num_attention_heads
       _A     =  decoder_hidden_size
       _A     =  decoder_num_hidden_layers
       _A     =  decoder_intermediate_size
       _A     =  mask_ratio
       _A     =  norm_pix_loss

