def test_adjugateTests(self): a = _SquareMatrix([1, 2, 3, 4]) b = _SquareMatrix([4, -2, -3, 1]) self.assertEqual(b, a.adjugate) c = _SquareMatrix([-3, 2, -5, -1, 0, -2, 3, -4, 1]) d = _SquareMatrix([-8, 18, -4, -5, 12, -1, 4, -6, 2]) self.assertEqual(d, c.adjugate)
def test_twoByTwoDeterminantTests(self): a = _SquareMatrix([1, 2, 3, 4]) self.assertEqual(-2, a.determinant) b = _SquareMatrix([3, 4, 5, 6]) self.assertEqual(-2, b.determinant) c = _SquareMatrix([1, 1, 1, 1]) self.assertEqual(0, c.determinant) d = _SquareMatrix([12, 15, 17, 21]) self.assertEqual(12 * 21 - 15 * 17, d.determinant)
def test_inverseTests(self): a = _SquareMatrix([4, 3, 3, 2]) b = _SquareMatrix([-2, 3, 3, -4]) aInverse = a.inverse self.assertEqual(b, aInverse) identity2x2 = _IdentityMatrix(2) aaInverse = a*aInverse self.assertTrue(identity2x2 == aaInverse) c = _SquareMatrix([1, 2, 3, 0, 4, 5, 1, 0, 6]) cInverse = c.inverse d = _SquareMatrix([24, -12, -2, 5, 3, -5, -4, 2, 4])*(1.0/22) self.assertTrue(d == cInverse) identity3x3 = _IdentityMatrix(3) ccInverse = c*cInverse self.assertTrue(identity3x3 == ccInverse)
def test_EqualTests(self): a = _SquareMatrix([1, 2, 3, 4]) b = _SquareMatrix([1, 2, 3, 4]) self.assertTrue(a == b) self.assertEqual(a, b) c = Matrix([[1, 2, 3], [4, 5, 6]]) d = Matrix([[1, 2, 3], [4, 5, 6]]) self.assertTrue(c == d) self.assertEqual(c, d) e = Matrix([[1, 4], [2, 5], [3, 6]]) f = e.transpose self.assertTrue(d == f) self.assertEqual(d, f) # rounding test g = _SquareMatrix([1, 2.0000000000000001, 3, 4]) h = _SquareMatrix([1, 2, 3, 4]) self.assertTrue(g == h) self.assertEqual(g, h)
def test_EightByEightDeterminantTests(self):
a = _SquareMatrix([1, 2, 3, 4, 5, 6, 7, 8,
9, 10, 11, 12, 13, 14, 15, 16,
17, 18, 19, 20, 21, 22, 23, 24,
25, 26, 27, 28, 29, 30, 31, 32,
33, 34, 35, 36, 37, 38, 39, 40,
41, 42, 32, 44, 45, 46, 47, 48,
49, 50, 51, 52, 53, 54, 55, 56,
57, 58, 59, 60, 61, 62, 63, 64])
self.assertEqual(0, a.determinant)
b = _SquareMatrix([3, 1, 4, 1, 5, 9, 2, 6,
5, 3, 5, 8, 9, 7, 9, 3,
2, 3, 8, 4, 6, 2, 6, 4,
3, 3, 8, 3, 2, 7, 9, 5,
0, 2, 8, 8, 4, 1, 9, 7,
1, 6, 9, 3, 9, 9, 3, 7,
5, 1, 0, 5, 8, 2, 0, 9,
7, 4, 9, 4, 4, 5, 9, 2])
self.assertEqual(1378143, b.determinant)
def test_FourByFourDeterminantTests(self): a = _SquareMatrix([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]) self.assertEqual(0, a.determinant) b = _SquareMatrix([3, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5, 8, 9, 7, 9, 3]) self.assertEqual(98, b.determinant)
def test_ThreeByThreeDeterminantTests(self): a = _SquareMatrix([1, 2, 3, 4, 5, 6, 7, 8, 9]) self.assertEqual(0, a.determinant) b = _SquareMatrix([3, 1, 4, 1, 5, 9, 2, 6, 5]) self.assertEqual(-90, b.determinant)
