


'''simple docstring'''
import unittest

from .lib import (
    Matrix,
    Vector,
    axpy,
    square_zero_matrix,
    unit_basis_vector,
    zero_vector,
)
class        lowercase     (							unittest.TestCase ):

		"""simple docstring"""

		def    lowerCAmelCase__    (		self							):

							'''simple docstring'''


							UpperCamelCase__       :Union[str, Any]							 =			Vector([1, 2, 3]							)
							self.assertEqual(x.component(0							)   ,       1							)
							self.assertEqual(x.component(2							)   ,       3							)
							UpperCamelCase__       :int							 =			Vector()




		def    lowerCAmelCase__    (		self							):

							'''simple docstring'''


							UpperCamelCase__       :Optional[int]							 =			Vector([0, 0, 0, 0, 0, 1]							)
							self.assertEqual(str(_A							)   ,       '''(0,0,0,0,0,1)'''							)




		def    lowerCAmelCase__    (		self							):

							'''simple docstring'''


							UpperCamelCase__       :Any							 =			Vector([1, 2, 3, 4]							)
							self.assertEqual(len(_A							)   ,       4							)




		def    lowerCAmelCase__    (		self							):

							'''simple docstring'''


							UpperCamelCase__       :Union[str, Any]							 =			Vector([1, 2]							)
							UpperCamelCase__       :Any							 =			Vector([1, 2, 3, 4, 5]							)
							UpperCamelCase__       :Optional[int]							 =			Vector([0, 0, 0, 0, 0, 0, 0, 0, 0, 0]							)
							UpperCamelCase__       :Optional[Any]							 =			Vector([1, -1, 1, -1, 2, -3, 4, -5]							)
							self.assertAlmostEqual(x.euclidean_length()   ,       2.236   ,       3							)
							self.assertAlmostEqual(y.euclidean_length()   ,       7.416   ,       3							)
							self.assertEqual(z.euclidean_length()   ,       0							)
							self.assertAlmostEqual(w.euclidean_length()   ,       7.616   ,       3							)




		def    lowerCAmelCase__    (		self							):

							'''simple docstring'''


							UpperCamelCase__       :Optional[int]							 =			Vector([1, 2, 3]							)
							UpperCamelCase__       :Tuple							 =			Vector([1, 1, 1]							)
							self.assertEqual((x + y).component(0							)   ,       2							)
							self.assertEqual((x + y).component(1							)   ,       3							)
							self.assertEqual((x + y).component(2							)   ,       4							)




		def    lowerCAmelCase__    (		self							):

							'''simple docstring'''


							UpperCamelCase__       :Union[str, Any]							 =			Vector([1, 2, 3]							)
							UpperCamelCase__       :Optional[int]							 =			Vector([1, 1, 1]							)
							self.assertEqual((x - y).component(0							)   ,       0							)
							self.assertEqual((x - y).component(1							)   ,       1							)
							self.assertEqual((x - y).component(2							)   ,       2							)




		def    lowerCAmelCase__    (		self							):

							'''simple docstring'''


							UpperCamelCase__       :int							 =			Vector([1, 2, 3]							)
							UpperCamelCase__       :Any							 =			Vector([2, -1, 4]							)  # for test of dot product
							UpperCamelCase__       :Tuple							 =			Vector([1, -2, -1]							)
							self.assertEqual(str(x * 3.0							)   ,       '''(3.0,6.0,9.0)'''							)
							self.assertEqual((a * b)   ,       0							)




		def    lowerCAmelCase__    (		self							):

							'''simple docstring'''


							self.assertEqual(str(zero_vector(10							)							).count('''0'''							)   ,       10							)




		def    lowerCAmelCase__    (		self							):

							'''simple docstring'''


							self.assertEqual(str(unit_basis_vector(3   ,       1							)							)   ,       '''(0,1,0)'''							)




		def    lowerCAmelCase__    (		self							):

							'''simple docstring'''


							UpperCamelCase__       :Tuple							 =			Vector([1, 2, 3]							)
							UpperCamelCase__       :Optional[Any]							 =			Vector([1, 0, 1]							)
							self.assertEqual(str(axpy(2   ,       _A   ,       _A							)							)   ,       '''(3,4,7)'''							)




		def    lowerCAmelCase__    (		self							):

							'''simple docstring'''


							UpperCamelCase__       :Dict							 =			Vector([1, 0, 0, 0, 0, 0]							)
							UpperCamelCase__       :Tuple							 =			x.copy()
							self.assertEqual(str(_A							)   ,       str(_A							)							)




		def    lowerCAmelCase__    (		self							):

							'''simple docstring'''


							UpperCamelCase__       :List[Any]							 =			Vector([1, 0, 0]							)
							x.change_component(0   ,       0							)
							x.change_component(1   ,       1							)
							self.assertEqual(str(_A							)   ,       '''(0,1,0)'''							)




		def    lowerCAmelCase__    (		self							):

							'''simple docstring'''


							UpperCamelCase__       :List[str]							 =			Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]   ,       3   ,       3							)
							self.assertEqual('''|1,2,3|\n|2,4,5|\n|6,7,8|\n'''   ,       str(_A							)							)




		def    lowerCAmelCase__    (		self							):

							'''simple docstring'''


							UpperCamelCase__       :Tuple							 =			Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]   ,       3   ,       3							)
							UpperCamelCase__       :List[Any]							 =			[[-3, -14, -10], [-5, -10, -5], [-2, -1, 0]]
							for x in range(a.height()							):
												for y in range(a.width()							):
																	self.assertEqual(minors[x][y]   ,       a.minor(_A   ,       _A							)							)




		def    lowerCAmelCase__    (		self							):

							'''simple docstring'''


							UpperCamelCase__       :List[Any]							 =			Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]   ,       3   ,       3							)
							UpperCamelCase__       :Union[str, Any]							 =			[[-3, 14, -10], [5, -10, 5], [-2, 1, 0]]
							for x in range(a.height()							):
												for y in range(a.width()							):
																	self.assertEqual(cofactors[x][y]   ,       a.cofactor(_A   ,       _A							)							)




		def    lowerCAmelCase__    (		self							):

							'''simple docstring'''


							UpperCamelCase__       :Dict							 =			Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]   ,       3   ,       3							)
							self.assertEqual(-5   ,       a.determinant()							)




		def    lowerCAmelCase__    (		self							):

							'''simple docstring'''


							UpperCamelCase__       :Dict							 =			Matrix([[1, 2, 3], [4, 5, 6], [7, 8, 9]]   ,       3   ,       3							)
							UpperCamelCase__       :str							 =			Vector([1, 2, 3]							)
							self.assertEqual('''(14,32,50)'''   ,       str(a * x							)							)
							self.assertEqual('''|2,4,6|\n|8,10,12|\n|14,16,18|\n'''   ,       str(a * 2							)							)




		def    lowerCAmelCase__    (		self							):

							'''simple docstring'''


							UpperCamelCase__       :Dict							 =			Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]   ,       3   ,       3							)
							a.change_component(0   ,       2   ,       5							)
							self.assertEqual('''|1,2,5|\n|2,4,5|\n|6,7,8|\n'''   ,       str(_A							)							)




		def    lowerCAmelCase__    (		self							):

							'''simple docstring'''


							UpperCamelCase__       :List[str]							 =			Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]   ,       3   ,       3							)
							self.assertEqual(7   ,       a.component(2   ,       1							)   ,       0.01							)




		def    lowerCAmelCase__    (		self							):

							'''simple docstring'''


							UpperCamelCase__       :Optional[Any]							 =			Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]   ,       3   ,       3							)
							UpperCamelCase__       :Optional[int]							 =			Matrix([[1, 2, 7], [2, 4, 5], [6, 7, 10]]   ,       3   ,       3							)
							self.assertEqual('''|2,4,10|\n|4,8,10|\n|12,14,18|\n'''   ,       str(a + b							)							)




		def    lowerCAmelCase__    (		self							):

							'''simple docstring'''


							UpperCamelCase__       :List[str]							 =			Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]   ,       3   ,       3							)
							UpperCamelCase__       :List[str]							 =			Matrix([[1, 2, 7], [2, 4, 5], [6, 7, 10]]   ,       3   ,       3							)
							self.assertEqual('''|0,0,-4|\n|0,0,0|\n|0,0,-2|\n'''   ,       str(a - b							)							)




		def    lowerCAmelCase__    (		self							):

							'''simple docstring'''


							self.assertEqual(
							    '''|0,0,0,0,0|\n|0,0,0,0,0|\n|0,0,0,0,0|\n|0,0,0,0,0|\n|0,0,0,0,0|\n'''   ,       str(square_zero_matrix(5							)							)   ,       )


if __name__ == "__main__":
		unittest.main()



'''simple docstring'''
from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


__snake_case											=					{'''configuration_vit_msn''': ['''VIT_MSN_PRETRAINED_CONFIG_ARCHIVE_MAP''', '''ViTMSNConfig''']}

try:
		if not is_torch_available():
				raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
		pass
else:
		__snake_case											=					[
		    '''VIT_MSN_PRETRAINED_MODEL_ARCHIVE_LIST''',
		    '''ViTMSNModel''',
		    '''ViTMSNForImageClassification''',
		    '''ViTMSNPreTrainedModel''',
		]

if TYPE_CHECKING:
		from .configuration_vit_msn import VIT_MSN_PRETRAINED_CONFIG_ARCHIVE_MAP, ViTMSNConfig

		try:
				if not is_torch_available():
						raise OptionalDependencyNotAvailable()
		except OptionalDependencyNotAvailable:
				pass
		else:
				from .modeling_vit_msn import (
				    VIT_MSN_PRETRAINED_MODEL_ARCHIVE_LIST,
				    ViTMSNForImageClassification,
				    ViTMSNModel,
				    ViTMSNPreTrainedModel,
				)

else:
		import sys

		__snake_case											=					_LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)