def __mul__(self, other: "Matrix") -> "Matrix":
if self.__rows != other.__columns or self.__columns != other.__rows:
raise ValueError(
"Matrices dimensions are incompatible for multiplying")
return Matrix([[
Vector(self.__matrix[i]).scalar_product(
Vector(other.transpose().__matrix[j]))
for j in range(self.__rows)
] for i in range(other.__columns)])
def test_empty_vector(self):
with self.assertRaises(ValueError):
self.assertEqual(Vector([]).length(), 0)
def test_self_angle(self):
self.assertAlmostEqual(
Vector([1, -2.97, -1.065]).angle(Vector([1, -2.97, -1.065])), 0.0)
def test_float_angle(self):
first_v = Vector([3.5, 1.74, 0.896, 0.445])
second_v = Vector([1, -2.97, -1.065, -3.29])
self.assertAlmostEqual(first_v.angle(second_v), 102.53349294109442)
def test_different_dimensions_angle(self):
with self.assertRaises(ValueError):
Vector([1, 2]).angle(Vector([1, 3, 4]))
def test_self_scalar_product(self):
self.assertAlmostEqual(
Vector([1, -2.97,
-1.065]).scalar_product(Vector([1, -2.97, -1.065])),
10.955125)
def test_float_scalar_product(self):
first_v = Vector([3.5, 1.74, 0.896, 0.445])
second_v = Vector([1, -2.97, -1.065, -3.29])
self.assertAlmostEqual(first_v.scalar_product(second_v), -4.08609)
def test_int_scalar_product(self):
self.assertEqual(Vector([2, 3]).scalar_product(Vector([1, 4])), 14)
def test_different_dimensions_scalar_product(self):
with self.assertRaises(ValueError):
Vector([1, 2]).scalar_product(Vector([1, 3, 4]))
def test_float_length(self):
self.assertAlmostEqual(Vector([0.1, 4, 3.5]).length(), 5.316013544)
def test_int_length(self):
self.assertEqual(Vector([3, 4]).length(), 5)