def test_left_scalar_division(self):
a = pyrot.Quaternion(1, -2, 3, 4)
b = 2
c = a / b
self.assertAlmostEqual(
c, pyrot.Quaternion(1. / 2, -2. / 2, 3. / 2, 4. / 2))
def test_division(self):
a = pyrot.Quaternion(1, -2, 3, 4)
b = pyrot.Quaternion(-6, 2, 1, 2)
c = a / b
self.assertAlmostEqual(c * b, a)
def test_right_scalar_multiplication(self):
a = pyrot.Quaternion(1, -2, 3, 4)
b = 6
c = b * a
self.assertEqual(c, pyrot.Quaternion(6, -12, 18, 24))
def test_left_float_scalar_multiplication(self):
a = pyrot.Quaternion(1, -2, 3, 4)
b = 6.0
c = a * b
self.assertEqual(c, pyrot.Quaternion(6, -12, 18, 24))
def test_init(self):
s = pyrot.Quaternion(1, 2, 3, 4)
self.assertIsInstance(s, pyrot.Quaternion)
def test_norm(self):
a = pyrot.Quaternion(1, -2, 3, 4)
b = a.norm()
self.assertAlmostEqual(b, 5.47722557505)
def test_right_scalar_sub(self):
a = 3
b = pyrot.Quaternion(1, 2, 3, 4)
c = a - b
self.assertEqual(c, pyrot.Quaternion(2, -2, -3, -4))
def test_scalar_add(self):
a = 6
b = pyrot.Quaternion(-6, 2, 1, 2)
c = a + b
self.assertEqual(c, pyrot.Quaternion(0, 2, 1, 2))
def test_sub(self):
a = pyrot.Quaternion(-6, 2, 1, 2)
b = pyrot.Quaternion(1, 2, 3, 4)
c = a - b
self.assertEqual(c, pyrot.Quaternion(-7, 0, -2, -2))
def test_bool_false(self):
a = pyrot.Quaternion(0, 0, 0, 0)
self.assertFalse(a)
def test_add(self):
a = pyrot.Quaternion(-6, 2, 1, 2)
b = pyrot.Quaternion(1, 2, 3, 4)
c = a + b
self.assertEqual(c, pyrot.Quaternion(-5, 4, 4, 6))
def test_bool_true(self):
a = pyrot.Quaternion(1, -2, 3, 4)
self.assertTrue(a)
def test_le(self):
a = pyrot.Quaternion(1, -2, 3, 4)
b = pyrot.Quaternion(-6, 2, 1, 2)
with self.assertRaises(TypeError):
(a <= b)
def test_inverse(self):
a = pyrot.Quaternion(1, -2, 3, 4)
b = a.inverse()
c = a * b
self.assertAlmostEqual(c, pyrot.Quaternion(1, 0, 0, 0))
def test_right_scalar_division(self):
a = 2
b = pyrot.Quaternion(1, -2, 3, 4)
c = a / b
self.assertAlmostEqual(c * b, a)
def test_left_scalar_sub(self):
a = pyrot.Quaternion(1, 2, 3, 4)
b = 3
c = a - b
self.assertEqual(c, pyrot.Quaternion(-2, 2, 3, 4))
def test_conjugation(self):
a = pyrot.Quaternion(1, -2, 3, 4)
b = a.conjugate()
self.assertEqual(b, pyrot.Quaternion(1, 2, -3, -4))
def test_addition_stays_quaternion(self):
a = pyrot.Quaternion(0, 0, 0, 0)
b = pyrot.Quaternion(1, 2, 3, 4)
c = a + b
self.assertIsInstance(c, pyrot.Quaternion)