






import unittest

from transformers.utils.backbone_utils import (
    BackboneMixin,
    get_aligned_output_features_output_indices,
    verify_out_features_out_indices,
)

class 		_snake_case	(	unittest.TestCase       ):






			def  SCREAMING_SNAKE_CASE__     (							self)   ->							Optional[Any]:
						SCREAMING_SNAKE_CASE							=			['a', 'b', 'c']

						# Defaults to last layer if both are None
						SCREAMING_SNAKE_CASE					,    SCREAMING_SNAKE_CASE							=			get_aligned_output_features_output_indices(a		,       a		,       a)
						self.assertEqual(a		,       ['c'])
						self.assertEqual(a		,       [2])

						# Out indices set to match out features
						SCREAMING_SNAKE_CASE					,    SCREAMING_SNAKE_CASE							=			get_aligned_output_features_output_indices(['a', 'c']		,       a		,       a)
						self.assertEqual(a		,       ['a', 'c'])
						self.assertEqual(a		,       [0, 2])

						# Out features set to match out indices
						SCREAMING_SNAKE_CASE					,    SCREAMING_SNAKE_CASE							=			get_aligned_output_features_output_indices(a		,       [0, 2]		,       a)
						self.assertEqual(a		,       ['a', 'c'])
						self.assertEqual(a		,       [0, 2])

						# Out features selected from negative indices
						SCREAMING_SNAKE_CASE					,    SCREAMING_SNAKE_CASE							=			get_aligned_output_features_output_indices(a		,       [-3, -1]		,       a)
						self.assertEqual(a		,       ['a', 'c'])
						self.assertEqual(a		,       [-3, -1])






			def  SCREAMING_SNAKE_CASE__     (							self)   ->							int:
						# Stage names must be set
						with self.assertRaises(a):
									verify_out_features_out_indices(['a', 'b']		,       (0, 1)		,       a)

						# Out features must be a list
						with self.assertRaises(a):
									verify_out_features_out_indices(('a', 'b')		,       (0, 1)		,       ['a', 'b'])

						# Out features must be a subset of stage names
						with self.assertRaises(a):
									verify_out_features_out_indices(['a', 'b']		,       (0, 1)		,       ['a'])

						# Out indices must be a list or tuple
						with self.assertRaises(a):
									verify_out_features_out_indices(a		,       0		,       ['a', 'b'])

						# Out indices must be a subset of stage names
						with self.assertRaises(a):
									verify_out_features_out_indices(a		,       (0, 1)		,       ['a'])

						# Out features and out indices must be the same length
						with self.assertRaises(a):
									verify_out_features_out_indices(['a', 'b']		,       (0,)		,       ['a', 'b', 'c'])

						# Out features should match out indices
						with self.assertRaises(a):
									verify_out_features_out_indices(['a', 'b']		,       (0, 2)		,       ['a', 'b', 'c'])

						# Out features and out indices should be in order
						with self.assertRaises(a):
									verify_out_features_out_indices(['b', 'a']		,       (0, 1)		,       ['a', 'b'])

						# Check passes with valid inputs
						verify_out_features_out_indices(['a', 'b', 'd']		,       (0, 1, -1)		,       ['a', 'b', 'c', 'd'])







			def  SCREAMING_SNAKE_CASE__     (							self)   ->							List[str]:
						SCREAMING_SNAKE_CASE							=			BackboneMixin()

						SCREAMING_SNAKE_CASE							=			['a', 'b', 'c']
						SCREAMING_SNAKE_CASE							=			['a', 'c']
						SCREAMING_SNAKE_CASE							=			[0, 2]

						# Check that the output features and indices are set correctly
						self.assertEqual(backbone.out_features		,       ['a', 'c'])
						self.assertEqual(backbone.out_indices		,       [0, 2])

						# Check out features and indices are updated correctly
						SCREAMING_SNAKE_CASE							=			['a', 'b']
						self.assertEqual(backbone.out_features		,       ['a', 'b'])
						self.assertEqual(backbone.out_indices		,       [0, 1])

						SCREAMING_SNAKE_CASE							=			[-3, -1]
						self.assertEqual(backbone.out_features		,       ['a', 'c'])
						self.assertEqual(backbone.out_indices		,       [-3, -1])








'''simple docstring'''






from __future__ import annotations

import numpy as np







def 							UpperCamelCase_     (       A__   :  np.ndarray   ):
  '''simple docstring'''





  lowerCAmelCase_,				lowerCAmelCase_     : List[str]     =  np.shape(A__   )
  if rows != columns:
    lowerCAmelCase_     : List[str]     =  (
        """'table' has to be of square shaped array but got a """
        f'{rows}x{columns} array:\n{table}'
    )
    raise ValueError(A__   )

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


if __name__ == "__main__":
  import doctest

  doctest.testmod()



