





"""simple docstring"""






import unittest

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



class 					__UpperCAmelCase							(						unittest.TestCase  ):
				def       UpperCAmelCase      (		self    :			List[str]    )	->	None:



							'''simple docstring'''



							a__  :	List[Any]		 =			Vector([1, 2, 3]    )
							self.assertEqual(x.component(0    )	, 1    )
							self.assertEqual(x.component(2    )	, 3    )
							a__  :	List[Any]		 =			Vector()
				def       UpperCAmelCase      (		self    :			Optional[Any]    )	->	None:



							'''simple docstring'''



							a__  :	List[str]		 =			Vector([0, 0, 0, 0, 0, 1]    )
							self.assertEqual(str(a_    )	, "(0,0,0,0,0,1)"    )
				def       UpperCAmelCase      (		self    :			Optional[Any]    )	->	None:



							'''simple docstring'''



							a__  :	List[Any]		 =			Vector([1, 2, 3, 4]    )
							self.assertEqual(len(a_    )	, 4    )
				def       UpperCAmelCase      (		self    :			int    )	->	None:



							'''simple docstring'''



							a__  :	Any		 =			Vector([1, 2]    )
							a__  :	Optional[int]		 =			Vector([1, 2, 3, 4, 5]    )
							a__  :	Optional[Any]		 =			Vector([0, 0, 0, 0, 0, 0, 0, 0, 0, 0]    )
							a__  :	Dict		 =			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       UpperCAmelCase      (		self    :			Any    )	->	None:



							'''simple docstring'''



							a__  :	int		 =			Vector([1, 2, 3]    )
							a__  :	Optional[int]		 =			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       UpperCAmelCase      (		self    :			int    )	->	None:



							'''simple docstring'''



							a__  :	Tuple		 =			Vector([1, 2, 3]    )
							a__  :	Union[str, Any]		 =			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       UpperCAmelCase      (		self    :			List[Any]    )	->	None:



							'''simple docstring'''



							a__  :	Tuple		 =			Vector([1, 2, 3]    )
							a__  :	Dict		 =			Vector([2, -1, 4]    )  # for test of dot product
							a__  :	List[Any]		 =			Vector([1, -2, -1]    )
							self.assertEqual(str(x * 3.0    )	, "(3.0,6.0,9.0)"    )
							self.assertEqual((a * b)	, 0    )
				def       UpperCAmelCase      (		self    :			List[Any]    )	->	None:



							'''simple docstring'''



							self.assertEqual(str(zero_vector(10    )    ).count("0"    )	, 10    )
				def       UpperCAmelCase      (		self    :			List[Any]    )	->	None:



							'''simple docstring'''



							self.assertEqual(str(unit_basis_vector(3	, 1    )    )	, "(0,1,0)"    )
				def       UpperCAmelCase      (		self    :			Dict    )	->	None:



							'''simple docstring'''



							a__  :	Union[str, Any]		 =			Vector([1, 2, 3]    )
							a__  :	Tuple		 =			Vector([1, 0, 1]    )
							self.assertEqual(str(axpy(2	, a_	, a_    )    )	, "(3,4,7)"    )
				def       UpperCAmelCase      (		self    :			str    )	->	None:



							'''simple docstring'''



							a__  :	Union[str, Any]		 =			Vector([1, 0, 0, 0, 0, 0]    )
							a__  :	Any		 =			x.copy()
							self.assertEqual(str(a_    )	, str(a_    )    )
				def       UpperCAmelCase      (		self    :			Any    )	->	None:



							'''simple docstring'''



							a__  :	Union[str, Any]		 =			Vector([1, 0, 0]    )
							x.change_component(0	, 0    )
							x.change_component(1	, 1    )
							self.assertEqual(str(a_    )	, "(0,1,0)"    )
				def       UpperCAmelCase      (		self    :			List[str]    )	->	None:



							'''simple docstring'''



							a__  :	List[Any]		 =			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       UpperCAmelCase      (		self    :			List[str]    )	->	None:



							'''simple docstring'''



							a__  :	Optional[int]		 =			Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]	, 3	, 3    )
							a__  :	Tuple		 =			[[-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       UpperCAmelCase      (		self    :			Tuple    )	->	None:



							'''simple docstring'''



							a__  :	List[str]		 =			Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]	, 3	, 3    )
							a__  :	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       UpperCAmelCase      (		self    :			Any    )	->	None:



							'''simple docstring'''



							a__  :	Optional[int]		 =			Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]	, 3	, 3    )
							self.assertEqual(-5	, a.determinant()    )
				def       UpperCAmelCase      (		self    :			int    )	->	None:



							'''simple docstring'''



							a__  :	Tuple		 =			Matrix([[1, 2, 3], [4, 5, 6], [7, 8, 9]]	, 3	, 3    )
							a__  :	Union[str, 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       UpperCAmelCase      (		self    :			str    )	->	None:



							'''simple docstring'''



							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(a_    )    )
				def       UpperCAmelCase      (		self    :			Optional[Any]    )	->	None:



							'''simple docstring'''



							a__  :	Any		 =			Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]	, 3	, 3    )
							self.assertEqual(7	, a.component(2	, 1    )	, 0.01    )
				def       UpperCAmelCase      (		self    :			Optional[Any]    )	->	None:



							'''simple docstring'''



							a__  :	Any		 =			Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]	, 3	, 3    )
							a__  :	Optional[Any]		 =			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       UpperCAmelCase      (		self    :			Optional[int]    )	->	None:



							'''simple docstring'''



							a__  :	Union[str, Any]		 =			Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]	, 3	, 3    )
							a__  :	Optional[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       UpperCAmelCase      (		self    :			Tuple    )	->	None:



							'''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"""






import pytest

import datasets


# Import fixture modules as plugins
__UpperCAmelCase						=			['''tests.fixtures.files''', '''tests.fixtures.hub''', '''tests.fixtures.fsspec''']






def      lowercase__ (					lowerCAmelCase__   :			Optional[Any]							,			lowerCAmelCase__   :			str			)    ->			str:



			'''simple docstring'''
			# Mark tests as "unit" by default if not marked as "integration" (or already marked as "unit")
			for item in items:
						if any(marker in item.keywords for marker in ["integration", "unit"]			):
									continue
						item.add_marker(pytest.mark.unit			)






def      lowercase__ (					lowerCAmelCase__   :			List[Any]			)    ->			Any:



			'''simple docstring'''
			config.addinivalue_line("markers"							,			"torchaudio_latest: mark test to run with torchaudio>=0.12"			)






@pytest.fixture(autouse=lowerCAmelCase__			)
def      lowercase__ (					lowerCAmelCase__   :			Optional[Any]							,			lowerCAmelCase__   :			Dict			)    ->			List[str]:



			'''simple docstring'''
			# test_hf_cache_home = tmp_path_factory.mktemp("cache")  # TODO: why a cache dir per test function does not work?
			a__  :	Dict		 =			tmp_path_factory.getbasetemp() / "cache"
			a__  :	int		 =			test_hf_cache_home / "datasets"
			a__  :	Tuple		 =			test_hf_cache_home / "metrics"
			a__  :	Any		 =			test_hf_cache_home / "modules"
			monkeypatch.setattr("datasets.config.HF_DATASETS_CACHE"							,			str(lowerCAmelCase__			)			)
			monkeypatch.setattr("datasets.config.HF_METRICS_CACHE"							,			str(lowerCAmelCase__			)			)
			monkeypatch.setattr("datasets.config.HF_MODULES_CACHE"							,			str(lowerCAmelCase__			)			)
			a__  :	Optional[int]		 =			test_hf_datasets_cache / "downloads"
			monkeypatch.setattr("datasets.config.DOWNLOADED_DATASETS_PATH"							,			str(lowerCAmelCase__			)			)
			a__  :	Tuple		 =			test_hf_datasets_cache / "downloads" / "extracted"
			monkeypatch.setattr("datasets.config.EXTRACTED_DATASETS_PATH"							,			str(lowerCAmelCase__			)			)






@pytest.fixture(autouse=lowerCAmelCase__							,			scope="session"			)
def      lowercase__ (					)    ->			Union[str, Any]:



			'''simple docstring'''
			datasets.disable_progress_bar()






@pytest.fixture(autouse=lowerCAmelCase__			)
def      lowercase__ (					lowerCAmelCase__   :			Union[str, Any]			)    ->			Optional[Any]:



			'''simple docstring'''
			# don't take tests into account when counting downloads
			monkeypatch.setattr("datasets.config.HF_UPDATE_DOWNLOAD_COUNTS"							,			lowerCAmelCase__			)






@pytest.fixture
def      lowercase__ (					lowerCAmelCase__   :			Optional[Any]			)    ->			str:



			'''simple docstring'''
			# Required to suppress RemovedIn20Warning when feature(s) are not compatible with SQLAlchemy 2.0
			# To be removed once SQLAlchemy 2.0 supported
			monkeypatch.setattr("sqlalchemy.util.deprecations.SILENCE_UBER_WARNING"							,			lowerCAmelCase__			)