




'''simple docstring'''
import unittest

from transformers.utils.backbone_utils import (
    BackboneMixin,
    get_aligned_output_features_output_indices,
    verify_out_features_out_indices,
)
class   __UpperCAmelCase				(     unittest.TestCase				):



					'''simple docstring'''





					def     __snake_case						(	self     :						Optional[Any])    ->							str:
								A_									= ['a', 'b', 'c']

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

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

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

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



					def     __snake_case						(	self     :						List[Any])    ->							Union[str, Any]:
								# Stage names must be set
								with self.assertRaises(_lowercase):
											verify_out_features_out_indices(['a', 'b']      ,       (0, 1)      ,       _lowercase)

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

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

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

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

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

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

								# Out features and out indices should be in order
								with self.assertRaises(_lowercase):
											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     __snake_case						(	self     :						Any)    ->							List[Any]:
								A_									= BackboneMixin()

								A_									= ['a', 'b', 'c']
								A_									= ['a', 'c']
								A_									= [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
								A_									= ['a', 'b']
								self.assertEqual(backbone.out_features      ,       ['a', 'b'])
								self.assertEqual(backbone.out_indices      ,       [0, 1])

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










'''simple docstring'''
def 			lowerCamelCase(							SCREAMING_SNAKE_CASE_       ,SCREAMING_SNAKE_CASE_     )		->		tuple[float, float]:

			# Check if the input is valid
			if not len(SCREAMING_SNAKE_CASE_     ) == len(SCREAMING_SNAKE_CASE_     ) == 3:
						raise ValueError('Please enter a valid equation.'     )
			if equationa[0] == equationa[1] == equationa[0] == equationa[1] == 0:
						raise ValueError('Both a & b of two equations can\'t be zero.'     )

			# Extract the coefficients
			A_		, A_		, A_									= equationa
			A_		, A_		, A_									= equationa

			# Calculate the determinants of the matrices
			A_									= aa * ba - aa * ba
			A_									= ca * ba - ca * ba
			A_									= aa * ca - aa * ca

			# Check if the system of linear equations has a solution (using Cramer's rule)
			if determinant == 0:
						if determinant_x == determinant_y == 0:
									raise ValueError('Infinite solutions. (Consistent system)'     )
						else:
									raise ValueError('No solution. (Inconsistent system)'     )
			else:
						if determinant_x == determinant_y == 0:
									# Trivial solution (Inconsistent system)
									return (0.0, 0.0)
						else:
									A_									= determinant_x / determinant
									A_									= determinant_y / determinant
									# Non-Trivial Solution (Consistent system)
									return (x, y)




