
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  UpperCAmelCase__							(				self							:							str ):







       """simple docstring"""




       __SCREAMING_SNAKE_CASE      :	Any					=		['''a''', '''b''', '''c''']

       # Defaults to last layer if both are None
       __SCREAMING_SNAKE_CASE,		__SCREAMING_SNAKE_CASE      :	List[str]					=		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      :	Tuple					=		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      :	List[Any]					=		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      :	Any					=		get_aligned_output_features_output_indices(_A     ,						[-3, -1]     ,						_A )
       self.assertEqual(_A     ,						['''a''', '''c'''] )
       self.assertEqual(_A     ,						[-3, -1] )



     def  UpperCAmelCase__							(				self							:							Any ):







       """simple docstring"""




       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  UpperCAmelCase__							(				self							:							List[str] ):







       """simple docstring"""




       __SCREAMING_SNAKE_CASE      :	Any					=		BackboneMixin()

       __SCREAMING_SNAKE_CASE      :	Any					=		['''a''', '''b''', '''c''']
       __SCREAMING_SNAKE_CASE      :	List[Any]					=		['''a''', '''c''']
       __SCREAMING_SNAKE_CASE      :	int					=		[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      :	Optional[Any]					=		['''a''', '''b''']
       self.assertEqual(backbone.out_features     ,						['''a''', '''b'''] )
       self.assertEqual(backbone.out_indices     ,						[0, 1] )

       __SCREAMING_SNAKE_CASE      :	str					=		[-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)




