def _getCPZ(componentForces) -> int:
normalForce = Vector(componentForces.force.X, componentForces.force.Y, 0)
normalForceMagnitude = normalForce.length()
if normalForceMagnitude == 0.0:
# Avoid division by zero, just return CG location
return componentForces.location.Z
normalForceDirection = normalForce.normalize()
momentAxis = normalForceDirection.crossProduct(Vector(0, 0, 1))
momentComponent = componentForces.moment * momentAxis
return componentForces.location.Z - momentComponent / normalForceMagnitude
class TestVector(unittest.TestCase):
def setUp(self):
#Define Vectors to be used in the checks below
self.v1 = Vector(1.0,2.0,3.0)
self.v2 = Vector(-1.0,-2.0,-3.0)
self.v3 = Vector(2.0,2.0,2.0)
self.v4 = Vector(1.0,-3.0,4.0)
self.v5 = Vector(3.0,4.0,0.0)
self.v6 = Vector(4.0,4.0,2.0)
self.v7 = Vector(1.0,0.0,3.0)
self.v8 = Vector(5.0,5.0,0.0)
def test_format(self):
formattedVector = "{:1.2f}".format(self.v1)
self.assertEqual(formattedVector, "1.00 2.00 3.00")
def test_getItem(self):
self.assertEqual(self.v1[0], 1)
self.assertEqual(self.v1[1], 2)
self.assertEqual(self.v1[2], 3)
def test_iter(self):
x, y, z = self.v1
self.assertEqual(x, 1)
self.assertEqual(y, 2)
self.assertEqual(z, 3)
def test_constructorParsing(self):
self.assertEqual(Vector("(1,2,3)"), self.v1)
self.assertEqual(Vector("(1, 2, 3)"), self.v1)
self.assertEqual(Vector("(1;2;3)"), self.v1)
self.assertEqual(Vector("(1; 2; 3)"), self.v1)
self.assertEqual(Vector("(1 2 3)"), self.v1)
self.assertEqual(Vector(" (694.25 200 3) "), Vector(694.25, 200, 3))
self.assertEqual(Vector(" (694.25,200,3) "), Vector(694.25, 200, 3))
self.assertEqual(Vector("(0.0 0.0 0.0)"), Vector(0,0,0))
def test_Multiplication(self):
self.assertEqual(self.v1*0.0,Vector(0,0,0))
self.assertEqual(self.v1*1.0, self.v1)
self.assertEqual(self.v1*(-1), self.v2)
def test_rMul(self):
assertVectorsAlmostEqual(self, 0.0*self.v1,Vector(0,0,0))
assertVectorsAlmostEqual(self, 1.0*self.v1, self.v1)
assertVectorsAlmostEqual(self, (-1)*self.v1, self.v2)
#Test == operator
def test_equal(self):
self.assertEqual(self.v1, Vector(1,2,3))
self.assertNotEqual(self.v1, Vector(1,2,4))
#Test + operator
def test_add(self):
self.assertEqual(self.v1 + self.v2, Vector(0,0,0))
self.assertEqual(self.v1 + self.v3, Vector(3,4,5))
self.assertEqual(self.v2 + self.v3, Vector(1,0,-1))
#Test - operator
def test_subtract(self):
self.assertEqual(self.v1 - self.v2, Vector(2,4,6))
self.assertEqual(self.v2 - self.v1, Vector(-2,-4,-6))
def test_neg(self):
self.assertEqual(-self.v1, Vector(-1,-2,-3))
def test_str(self):
self.assertEqual(str(self.v1), "(1.0 2.0 3.0)")
def test_dotProduct(self):
self.assertEqual(self.v1 * self.v2, -14)
self.assertEqual(self.v2 * self.v1, -14)
self.assertEqual(self.v1 * self.v3, 12)
self.assertEqual(self.v2 * self.v3, -12)
self.assertEqual(self.v5 * self.v6, 28)
def test_scalarMult(self):
self.assertEqual(self.v1 * 3, Vector(3,6,9))
self.assertEqual(self.v3 * 2, Vector(4,4,4))
#Test getting the magnitude of the vector
def test_length(self):
self.assertEqual(self.v1.length(), sqrt(14))
self.assertEqual(self.v3.length(), sqrt(12))
self.assertEqual(self.v5.length(), 5)
self.assertEqual(self.v6.length(), 6)
#Test turning vector into a unit vector
def test_normalize(self):
self.assertEqual(self.v4.normalize(), Vector(1/sqrt(26), -3/sqrt(26), 4/sqrt(26)))
#Test getting the angle between two vectors
def test_angle(self):
self.assertEqual(self.v5.angle(self.v6), acos(14.0/15))
self.assertEqual(self.v6.angle(self.v5), acos(14.0/15))
self.assertEqual(self.v7.angle(self.v8), acos(0.1 * sqrt(5)))
self.assertEqual(self.v8.angle(self.v7), acos(0.1 * sqrt(5)))
def test_crossProduct(self):
self.assertEqual(self.v1.crossProduct(self.v1), Vector(0,0,0))
self.assertEqual(self.v1.crossProduct(self.v3), Vector(-2,4,-2))
#Can only take the cross product with another vector
with self.assertRaises(TypeError):
self.v1.crossProduct(33)
#Test / operator
def test_Division(self):
self.assertEqual(self.v1.__truediv__(2), Vector(0.5,1,1.5))
self.assertEqual(self.v2.__truediv__(2), Vector(-0.5,-1,-1.5))
#Example, could put cleanup code here
def tearDown(self):
pass
