


import unittest

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







class        lowerCamelCase__	(							unittest.TestCase      ):






			"""simple docstring"""






			def 				snake_case__				(							self     ):

							'''simple docstring'''


							UpperCamelCase__					=       Vector([1, 2, 3]     )
							self.assertEqual(x.component(0     )      ,						1     )
							self.assertEqual(x.component(2     )      ,						3     )
							UpperCamelCase__					=       Vector()




			def 				snake_case__				(							self     ):

							'''simple docstring'''


							UpperCamelCase__					=       Vector([0, 0, 0, 0, 0, 1]     )
							self.assertEqual(str(__a     )      ,						"(0,0,0,0,0,1)"     )




			def 				snake_case__				(							self     ):

							'''simple docstring'''


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




			def 				snake_case__				(							self     ):

							'''simple docstring'''


							UpperCamelCase__					=       Vector([1, 2]     )
							UpperCamelCase__					=       Vector([1, 2, 3, 4, 5]     )
							UpperCamelCase__					=       Vector([0, 0, 0, 0, 0, 0, 0, 0, 0, 0]     )
							UpperCamelCase__					=       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 				snake_case__				(							self     ):

							'''simple docstring'''


							UpperCamelCase__					=       Vector([1, 2, 3]     )
							UpperCamelCase__					=       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     ):

							'''simple docstring'''


							UpperCamelCase__					=       Vector([1, 2, 3]     )
							UpperCamelCase__					=       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     ):

							'''simple docstring'''


							UpperCamelCase__					=       Vector([1, 2, 3]     )
							UpperCamelCase__					=       Vector([2, -1, 4]     )  # for test of dot product
							UpperCamelCase__					=       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     ):

							'''simple docstring'''


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




			def 				snake_case__				(							self     ):

							'''simple docstring'''


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




			def 				snake_case__				(							self     ):

							'''simple docstring'''


							UpperCamelCase__					=       Vector([1, 2, 3]     )
							UpperCamelCase__					=       Vector([1, 0, 1]     )
							self.assertEqual(str(axpy(2      ,						__a      ,						__a     )     )      ,						"(3,4,7)"     )




			def 				snake_case__				(							self     ):

							'''simple docstring'''


							UpperCamelCase__					=       Vector([1, 0, 0, 0, 0, 0]     )
							UpperCamelCase__					=       x.copy()
							self.assertEqual(str(__a     )      ,						str(__a     )     )




			def 				snake_case__				(							self     ):

							'''simple docstring'''


							UpperCamelCase__					=       Vector([1, 0, 0]     )
							x.change_component(0      ,						0     )
							x.change_component(1      ,						1     )
							self.assertEqual(str(__a     )      ,						"(0,1,0)"     )




			def 				snake_case__				(							self     ):

							'''simple docstring'''


							UpperCamelCase__					=       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 				snake_case__				(							self     ):

							'''simple docstring'''


							UpperCamelCase__					=       Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]      ,						3      ,						3     )
							UpperCamelCase__					=       [[-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 				snake_case__				(							self     ):

							'''simple docstring'''


							UpperCamelCase__					=       Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]      ,						3      ,						3     )
							UpperCamelCase__					=       [[-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 				snake_case__				(							self     ):

							'''simple docstring'''


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




			def 				snake_case__				(							self     ):

							'''simple docstring'''


							UpperCamelCase__					=       Matrix([[1, 2, 3], [4, 5, 6], [7, 8, 9]]      ,						3      ,						3     )
							UpperCamelCase__					=       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     ):

							'''simple docstring'''


							UpperCamelCase__					=       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 				snake_case__				(							self     ):

							'''simple docstring'''


							UpperCamelCase__					=       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     ):

							'''simple docstring'''


							UpperCamelCase__					=       Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]      ,						3      ,						3     )
							UpperCamelCase__					=       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     ):

							'''simple docstring'''


							UpperCamelCase__					=       Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]      ,						3      ,						3     )
							UpperCamelCase__					=       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     ):

							'''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 __future__ import annotations

import numpy as np
def        UpperCamelCase_(				_A   :list[float]  )->		Union[str, Any]:
			return np.maximum(0				,     _A  )


if __name__ == "__main__":
						print(np.array(relu([-1, 0, 5])))  # --> [0, 0, 5]


