



import os
from typing import Dict, List, Tuple, TypeVar, Union


_lowercase     							=						TypeVar('''T''')

_lowercase     							=						Union[List[T], Tuple[T, ...]]
_lowercase     							=						Union[T, List[T], Dict[str, T]]
_lowercase     							=						Union[str, bytes, os.PathLike]








import unittest

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





			def        _snake_case    (self				):
						lowerCamelCase__ :      List[str]								=		Vector([1, 2, 3]				)
						self.assertEqual(x.component(0				)							,    1				)
						self.assertEqual(x.component(2				)							,    3				)
						lowerCamelCase__ :      str								=		Vector()





			def        _snake_case    (self				):
						lowerCamelCase__ :      Dict								=		Vector([0, 0, 0, 0, 0, 1]				)
						self.assertEqual(str(__magic_name__				)							,    """(0,0,0,0,0,1)"""				)





			def        _snake_case    (self				):
						lowerCamelCase__ :      Tuple								=		Vector([1, 2, 3, 4]				)
						self.assertEqual(len(__magic_name__				)							,    4				)





			def        _snake_case    (self				):
						lowerCamelCase__ :      Dict								=		Vector([1, 2]				)
						lowerCamelCase__ :      str								=		Vector([1, 2, 3, 4, 5]				)
						lowerCamelCase__ :      int								=		Vector([0, 0, 0, 0, 0, 0, 0, 0, 0, 0]				)
						lowerCamelCase__ :      int								=		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        _snake_case    (self				):
						lowerCamelCase__ :      str								=		Vector([1, 2, 3]				)
						lowerCamelCase__ :      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        _snake_case    (self				):
						lowerCamelCase__ :      Optional[int]								=		Vector([1, 2, 3]				)
						lowerCamelCase__ :      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        _snake_case    (self				):
						lowerCamelCase__ :      Dict								=		Vector([1, 2, 3]				)
						lowerCamelCase__ :      int								=		Vector([2, -1, 4]				)  # for test of dot product
						lowerCamelCase__ :      List[Any]								=		Vector([1, -2, -1]				)
						self.assertEqual(str(x * 3.0				)							,    """(3.0,6.0,9.0)"""				)
						self.assertEqual((a * b)							,    0				)





			def        _snake_case    (self				):
						self.assertEqual(str(zero_vector(10				)				).count("""0"""				)							,    10				)





			def        _snake_case    (self				):
						self.assertEqual(str(unit_basis_vector(3							,    1				)				)							,    """(0,1,0)"""				)





			def        _snake_case    (self				):
						lowerCamelCase__ :      Any								=		Vector([1, 2, 3]				)
						lowerCamelCase__ :      str								=		Vector([1, 0, 1]				)
						self.assertEqual(str(axpy(2							,    __magic_name__							,    __magic_name__				)				)							,    """(3,4,7)"""				)





			def        _snake_case    (self				):
						lowerCamelCase__ :      Optional[Any]								=		Vector([1, 0, 0, 0, 0, 0]				)
						lowerCamelCase__ :      int								=		x.copy()
						self.assertEqual(str(__magic_name__				)							,    str(__magic_name__				)				)





			def        _snake_case    (self				):
						lowerCamelCase__ :      int								=		Vector([1, 0, 0]				)
						x.change_component(0							,    0				)
						x.change_component(1							,    1				)
						self.assertEqual(str(__magic_name__				)							,    """(0,1,0)"""				)





			def        _snake_case    (self				):
						lowerCamelCase__ :      Optional[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(__magic_name__				)				)





			def        _snake_case    (self				):
						lowerCamelCase__ :      int								=		Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]							,    3							,    3				)
						lowerCamelCase__ :      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(__magic_name__							,    __magic_name__				)				)





			def        _snake_case    (self				):
						lowerCamelCase__ :      Any								=		Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]							,    3							,    3				)
						lowerCamelCase__ :      Optional[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(__magic_name__							,    __magic_name__				)				)





			def        _snake_case    (self				):
						lowerCamelCase__ :      Optional[int]								=		Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]							,    3							,    3				)
						self.assertEqual(-5							,    a.determinant()				)





			def        _snake_case    (self				):
						lowerCamelCase__ :      List[str]								=		Matrix([[1, 2, 3], [4, 5, 6], [7, 8, 9]]							,    3							,    3				)
						lowerCamelCase__ :      Optional[int]								=		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        _snake_case    (self				):
						lowerCamelCase__ :      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(__magic_name__				)				)





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





			def        _snake_case    (self				):
						lowerCamelCase__ :      Tuple								=		Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]							,    3							,    3				)
						lowerCamelCase__ :      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        _snake_case    (self				):
						lowerCamelCase__ :      str								=		Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]							,    3							,    3				)
						lowerCamelCase__ :      Optional[Any]								=		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        _snake_case    (self				):
						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()



