



'''simple docstring'''

import unittest

from .lib import (
    Matrix,
    Vector,
    axpy,
    square_zero_matrix,
    unit_basis_vector,
    zero_vector,
)

class 	__magic_name__						(    unittest.TestCase   ):







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







							def 							__lowercase			(							self					:       int		):
									_a     :      List[Any]        =							Vector([0, 0, 0, 0, 0, 1]		)
									self.assertEqual(str(_UpperCAmelCase		)	,'(0,0,0,0,0,1)'		)







							def 							__lowercase			(							self					:       Union[str, Any]		):
									_a     :      Tuple        =							Vector([1, 2, 3, 4]		)
									self.assertEqual(len(_UpperCAmelCase		)	,4		)







							def 							__lowercase			(							self					:       Optional[int]		):
									_a     :      Dict        =							Vector([1, 2]		)
									_a     :      Optional[Any]        =							Vector([1, 2, 3, 4, 5]		)
									_a     :      Tuple        =							Vector([0, 0, 0, 0, 0, 0, 0, 0, 0, 0]		)
									_a     :      Union[str, Any]        =							Vector([1, -1, 1, -1, 2, -3, 4, -5]		)
									self.assertAlmostEqual(x.euclidean_length()	,2.2_36	,3		)
									self.assertAlmostEqual(y.euclidean_length()	,7.4_16	,3		)
									self.assertEqual(z.euclidean_length()	,0		)
									self.assertAlmostEqual(w.euclidean_length()	,7.6_16	,3		)







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







							def 							__lowercase			(							self					:       List[Any]		):
									self.assertEqual(str(zero_vector(10		)		).count('0'		)	,10		)







							def 							__lowercase			(							self					:       Tuple		):
									self.assertEqual(str(unit_basis_vector(3	,1		)		)	,'(0,1,0)'		)







							def 							__lowercase			(							self					:       Optional[Any]		):
									_a     :      Optional[Any]        =							Vector([1, 2, 3]		)
									_a     :      Any        =							Vector([1, 0, 1]		)
									self.assertEqual(str(axpy(2	,_UpperCAmelCase	,_UpperCAmelCase		)		)	,'(3,4,7)'		)







							def 							__lowercase			(							self					:       Optional[Any]		):
									_a     :      Union[str, Any]        =							Vector([1, 0, 0, 0, 0, 0]		)
									_a     :      Union[str, Any]        =							x.copy()
									self.assertEqual(str(_UpperCAmelCase		)	,str(_UpperCAmelCase		)		)







							def 							__lowercase			(							self					:       Tuple		):
									_a     :      Union[str, Any]        =							Vector([1, 0, 0]		)
									x.change_component(0	,0		)
									x.change_component(1	,1		)
									self.assertEqual(str(_UpperCAmelCase		)	,'(0,1,0)'		)







							def 							__lowercase			(							self					:       List[Any]		):
									_a     :      Dict        =							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(_UpperCAmelCase		)		)







							def 							__lowercase			(							self					:       Dict		):
									_a     :      List[Any]        =							Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]	,3	,3		)
									_a     :      Optional[int]        =							[[-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(_UpperCAmelCase	,_UpperCAmelCase		)		)







							def 							__lowercase			(							self					:       List[str]		):
									_a     :      List[Any]        =							Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]	,3	,3		)
									_a     :      List[str]        =							[[-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(_UpperCAmelCase	,_UpperCAmelCase		)		)







							def 							__lowercase			(							self					:       List[str]		):
									_a     :      Any        =							Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]	,3	,3		)
									self.assertEqual(-5	,a.determinant()		)







							def 							__lowercase			(							self					:       List[str]		):
									_a     :      Union[str, Any]        =							Matrix([[1, 2, 3], [4, 5, 6], [7, 8, 9]]	,3	,3		)
									_a     :      Any        =							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 							__lowercase			(							self					:       List[Any]		):
									_a     :      Optional[int]        =							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(_UpperCAmelCase		)		)







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







							def 							__lowercase			(							self					:       Tuple		):
									_a     :      Union[str, Any]        =							Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]	,3	,3		)
									_a     :      Dict        =							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 							__lowercase			(							self					:       Dict		):
									_a     :      List[Any]        =							Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]	,3	,3		)
									_a     :      int        =							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 							__lowercase			(							self					:       Dict		):
									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


__lowerCAmelCase									=   {
    '''configuration_bigbird_pegasus''': [
        '''BIGBIRD_PEGASUS_PRETRAINED_CONFIG_ARCHIVE_MAP''',
        '''BigBirdPegasusConfig''',
        '''BigBirdPegasusOnnxConfig''',
    ],
}

try:
							if not is_torch_available():
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							pass
else:
							__lowerCAmelCase									=   [
							    '''BIGBIRD_PEGASUS_PRETRAINED_MODEL_ARCHIVE_LIST''',
							    '''BigBirdPegasusForCausalLM''',
							    '''BigBirdPegasusForConditionalGeneration''',
							    '''BigBirdPegasusForQuestionAnswering''',
							    '''BigBirdPegasusForSequenceClassification''',
							    '''BigBirdPegasusModel''',
							    '''BigBirdPegasusPreTrainedModel''',
							]


if TYPE_CHECKING:
							from .configuration_bigbird_pegasus import (
							    BIGBIRD_PEGASUS_PRETRAINED_CONFIG_ARCHIVE_MAP,
							    BigBirdPegasusConfig,
							    BigBirdPegasusOnnxConfig,
							)

							try:
														if not is_torch_available():
																					raise OptionalDependencyNotAvailable()
							except OptionalDependencyNotAvailable:
														pass
							else:
														from .modeling_bigbird_pegasus import (
														    BIGBIRD_PEGASUS_PRETRAINED_MODEL_ARCHIVE_LIST,
														    BigBirdPegasusForCausalLM,
														    BigBirdPegasusForConditionalGeneration,
														    BigBirdPegasusForQuestionAnswering,
														    BigBirdPegasusForSequenceClassification,
														    BigBirdPegasusModel,
														    BigBirdPegasusPreTrainedModel,
														)


else:
							import sys

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




