def test_inverse(self):
q = Quaternion(w, x, y, z)
self.assertEqual(
q.inverse(),
Quaternion(w, -x, -y, -z) / (w**2 + x**2 + y**2 + z**2))
self.assertNotEqual(
q.inverse(),
Quaternion(w, -x, -y, -z) / w**2 + x**2 + y**2 + z**3)
self.assertEqual(q.inverse(), q.pow(-1))
def test_inverse(self):
#Test inverse of quaternions. Inverse is defined as Quaternion(w, -x, -y, -z) / (w**2 + x**2 + y**2 + z**2). Also tested with pow(-1) since this is equivalent to the inverse.
q = Quaternion(w, x, y, z)
self.assertEqual(
q.inverse(),
Quaternion(w, -x, -y, -z) / (w**2 + x**2 + y**2 + z**2))
self.assertNotEqual(
q.inverse(),
Quaternion(w, -x, -y, -z) / (w**2 + x**2 + y**2 + z**3))
self.assertEqual(q.inverse(), q.pow(-1))
def test_pow(self):
q = Quaternion(2, 2, 2, 2)
# Inverse
self.assertEqual(q.pow(-1), q.inverse())
# Not integer
self.assertEqual(q.pow(1.5), NotImplemented)
# Do the loop 1 time and do the if inside the loop
self.assertEqual(q.pow(1), q)
# Test negative power. Do the loop twice and not the if inside the loop
self.assertEqual(q.pow(-2),
Quaternion(-1 / 32, -1 / 32, -1 / 32, -1 / 32))
# Test the loop twice and only do the if inside loop the the first time
self.assertEqual(q.pow(2), Quaternion(-8, 8, 8, 8))
# Don't test loop
self.assertEqual(q.pow(0), 1)
# Test loop three times and the if inside the loop twice
self.assertEqual(q.pow(3), Quaternion(-64, 0, 0, 0))
# Test loop three times and the if inside the loop only once
self.assertEqual(q.pow(4), Quaternion(-128, -128, -128, -128))
