import unittest

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





class 					lowercase__						(   unittest.TestCase):


						def        __A       (       self	:				List[Any]						):





												'''simple docstring'''





												SCREAMING_SNAKE_CASE							:    Dict							=							Vector([1, 2, 3]						)
												self.assertEqual(x.component(0						)    ,		1						)
												self.assertEqual(x.component(2						)    ,		3						)
												SCREAMING_SNAKE_CASE							:    str							=							Vector()


						def        __A       (       self	:				Union[str, Any]						):





												'''simple docstring'''





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


						def        __A       (       self	:				Optional[Any]						):





												'''simple docstring'''





												SCREAMING_SNAKE_CASE							:    List[str]							=							Vector([1, 2, 3, 4]						)
												self.assertEqual(len(UpperCamelCase__						)    ,		4						)


						def        __A       (       self	:				int						):





												'''simple docstring'''





												SCREAMING_SNAKE_CASE							:    List[Any]							=							Vector([1, 2]						)
												SCREAMING_SNAKE_CASE							:    List[Any]							=							Vector([1, 2, 3, 4, 5]						)
												SCREAMING_SNAKE_CASE							:    Any							=							Vector([0, 0, 0, 0, 0, 0, 0, 0, 0, 0]						)
												SCREAMING_SNAKE_CASE							:    Tuple							=							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        __A       (       self	:				List[Any]						):





												'''simple docstring'''





												SCREAMING_SNAKE_CASE							:    str							=							Vector([1, 2, 3]						)
												SCREAMING_SNAKE_CASE							:    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        __A       (       self	:				Any						):





												'''simple docstring'''





												SCREAMING_SNAKE_CASE							:    List[Any]							=							Vector([1, 2, 3]						)
												SCREAMING_SNAKE_CASE							:    List[str]							=							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        __A       (       self	:				Union[str, Any]						):





												'''simple docstring'''





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


						def        __A       (       self	:				List[Any]						):





												'''simple docstring'''





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


						def        __A       (       self	:				List[str]						):





												'''simple docstring'''





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


						def        __A       (       self	:				List[str]						):





												'''simple docstring'''





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


						def        __A       (       self	:				Union[str, Any]						):





												'''simple docstring'''





												SCREAMING_SNAKE_CASE							:    Any							=							Vector([1, 0, 0, 0, 0, 0]						)
												SCREAMING_SNAKE_CASE							:    Union[str, Any]							=							x.copy()
												self.assertEqual(str(UpperCamelCase__						)    ,		str(UpperCamelCase__						)						)


						def        __A       (       self	:				str						):





												'''simple docstring'''





												SCREAMING_SNAKE_CASE							:    Dict							=							Vector([1, 0, 0]						)
												x.change_component(0    ,		0						)
												x.change_component(1    ,		1						)
												self.assertEqual(str(UpperCamelCase__						)    ,		'''(0,1,0)'''						)


						def        __A       (       self	:				Optional[Any]						):





												'''simple docstring'''





												SCREAMING_SNAKE_CASE							:    int							=							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        __A       (       self	:				str						):





												'''simple docstring'''





												SCREAMING_SNAKE_CASE							:    Dict							=							Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]    ,		3    ,		3						)
												SCREAMING_SNAKE_CASE							:    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(minors[x][y]    ,		a.minor(UpperCamelCase__    ,		UpperCamelCase__						)						)


						def        __A       (       self	:				List[Any]						):





												'''simple docstring'''





												SCREAMING_SNAKE_CASE							:    Optional[int]							=							Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]    ,		3    ,		3						)
												SCREAMING_SNAKE_CASE							:    Dict							=							[[-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        __A       (       self	:				List[str]						):





												'''simple docstring'''





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


						def        __A       (       self	:				Any						):





												'''simple docstring'''





												SCREAMING_SNAKE_CASE							:    Optional[Any]							=							Matrix([[1, 2, 3], [4, 5, 6], [7, 8, 9]]    ,		3    ,		3						)
												SCREAMING_SNAKE_CASE							:    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        __A       (       self	:				Tuple						):





												'''simple docstring'''





												SCREAMING_SNAKE_CASE							:    List[str]							=							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        __A       (       self	:				List[Any]						):





												'''simple docstring'''





												SCREAMING_SNAKE_CASE							:    Optional[int]							=							Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]    ,		3    ,		3						)
												self.assertEqual(7    ,		a.component(2    ,		1						)    ,		0.01						)


						def        __A       (       self	:				Any						):





												'''simple docstring'''





												SCREAMING_SNAKE_CASE							:    Any							=							Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]    ,		3    ,		3						)
												SCREAMING_SNAKE_CASE							:    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        __A       (       self	:				Optional[int]						):





												'''simple docstring'''





												SCREAMING_SNAKE_CASE							:    str							=							Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]    ,		3    ,		3						)
												SCREAMING_SNAKE_CASE							:    Dict							=							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        __A       (       self	:				Optional[Any]						):





												'''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()






from packaging import version

from .import_utils import is_accelerate_available


if is_accelerate_available():
					import accelerate
def       A	(    _lowercase						):
						if not is_accelerate_available():
												return method
						SCREAMING_SNAKE_CASE							:    int							=							version.parse(accelerate.__version__						).base_version
						if version.parse(_lowercase						) < version.parse('''0.17.0'''						):
												return method

						def wrapper(self		,  *_lowercase		,  **_lowercase						):
												if hasattr(self		,  '''_hf_hook'''						) and hasattr(self._hf_hook		,  '''pre_forward'''						):
																		self._hf_hook.pre_forward(self						)
												return method(self		,  *_lowercase		,  **_lowercase						)

						return wrapper





