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# Copyright (c) 2019 Ultimaker B.V.
# Uranium is released under the terms of the LGPLv3 or higher.
import unittest
import numpy
import math
from UM.Math.Quaternion import Quaternion
from UM.Math.Vector import Vector
from UM.Math.Float import Float
from UM.Math.Matrix import Matrix
class TestQuaternion(unittest.TestCase):
def setUp(self):
# Called before the first testfunction is executed
pass
def tearDown(self):
# Called after the last testfunction was executed
pass
def test_create(self):
q = Quaternion()
self.assertEqual(q.x, 0.0)
self.assertEqual(q.y, 0.0)
self.assertEqual(q.z, 0.0)
self.assertEqual(q.w, 1.0)
def test_setByAxis(self):
q = Quaternion()
q.setByAngleAxis(math.pi / 2, Vector.Unit_Z)
self.assertEqual(q.x, 0.0)
self.assertEqual(q.y, 0.0)
self.assertTrue(Float.fuzzyCompare(q.z, math.sqrt(2.0) / 2.0, 1e-6))
self.assertTrue(Float.fuzzyCompare(q.w, math.sqrt(2.0) / 2.0, 1e-6))
def test_setByMatrix(self):
pass
def test_multiply(self):
q1 = Quaternion()
q1.setByAngleAxis(math.pi / 2, Vector.Unit_Z)
q2 = Quaternion()
q2.setByAngleAxis(math.pi / 2, Vector.Unit_Z)
q3 = q1 * q2
q4 = Quaternion()
q4.setByAngleAxis(math.pi, Vector.Unit_Z)
self.assertEqual(q3, q4)
def test_invert(self):
q1 = Quaternion()
q1.setByAngleAxis(math.pi, Vector.Unit_Z)
q1.invert()
q2 = Quaternion()
q2.setByAngleAxis(math.pi, -Vector.Unit_Z)
self.assertEqual(q1, q2)
def test_rotateVector(self):
q1 = Quaternion()
q1.setByAngleAxis(math.pi / 2, Vector.Unit_Z)
v = Vector(0, 1, 0)
v = q1.rotate(v)
self.assertTrue(Float.fuzzyCompare(v.x, -1.0, 1e-6))
self.assertTrue(Float.fuzzyCompare(v.y, 0.0, 1e-6))
self.assertTrue(Float.fuzzyCompare(v.z, 0.0, 1e-6))
def test_toMatrix(self):
q1 = Quaternion()
q1.setByAngleAxis(math.pi / 2, Vector.Unit_Z)
m1 = q1.toMatrix()
m2 = Matrix()
m2.setByRotationAxis(math.pi / 2, Vector.Unit_Z)
self.assertTrue(Float.fuzzyCompare(m1.at(0, 0), m2.at(0, 0), 1e-6))
self.assertTrue(Float.fuzzyCompare(m1.at(0, 1), m2.at(0, 1), 1e-6))
self.assertTrue(Float.fuzzyCompare(m1.at(0, 2), m2.at(0, 2), 1e-6))
self.assertTrue(Float.fuzzyCompare(m1.at(0, 3), m2.at(0, 3), 1e-6))
self.assertTrue(Float.fuzzyCompare(m1.at(1, 0), m2.at(1, 0), 1e-6))
self.assertTrue(Float.fuzzyCompare(m1.at(1, 1), m2.at(1, 1), 1e-6))
self.assertTrue(Float.fuzzyCompare(m1.at(1, 2), m2.at(1, 2), 1e-6))
self.assertTrue(Float.fuzzyCompare(m1.at(1, 3), m2.at(1, 3), 1e-6))
self.assertTrue(Float.fuzzyCompare(m1.at(2, 0), m2.at(2, 0), 1e-6))
self.assertTrue(Float.fuzzyCompare(m1.at(2, 1), m2.at(2, 1), 1e-6))
self.assertTrue(Float.fuzzyCompare(m1.at(2, 2), m2.at(2, 2), 1e-6))
self.assertTrue(Float.fuzzyCompare(m1.at(2, 3), m2.at(2, 3), 1e-6))
self.assertTrue(Float.fuzzyCompare(m1.at(3, 0), m2.at(3, 0), 1e-6))
self.assertTrue(Float.fuzzyCompare(m1.at(3, 1), m2.at(3, 1), 1e-6))
self.assertTrue(Float.fuzzyCompare(m1.at(3, 2), m2.at(3, 2), 1e-6))
self.assertTrue(Float.fuzzyCompare(m1.at(3, 3), m2.at(3, 3), 1e-6))
def test_fromMatrix(self):
m = Matrix()
m.setByRotationAxis(math.pi / 2, Vector.Unit_Z)
q1 = Quaternion.fromMatrix(m)
q1.normalize()
q2 = Quaternion()
q2.setByAngleAxis(math.pi / 2, Vector.Unit_Z)
self.assertTrue(Float.fuzzyCompare(q1.x, q2.x, 1e-6))
self.assertTrue(Float.fuzzyCompare(q1.y, q2.y, 1e-6))
self.assertTrue(Float.fuzzyCompare(q1.z, q2.z, 1e-6))
self.assertTrue(Float.fuzzyCompare(q1.w, q2.w, 1e-6))
def test_slerp(self):
q1 = Quaternion()
q1.setByAngleAxis(0, Vector.Unit_Z)
q2 = Quaternion()
q2.setByAngleAxis(math.pi / 2, Vector.Unit_Z)
c = Quaternion(0.0, 0.0, 0.0, 1.0)
self.assertEqual(c, Quaternion.slerp(q1, q2, 0.0))
c = Quaternion(0.0, 0.0, 0.19509033858776093, 0.9807853102684021)
self.assertEqual(c, Quaternion.slerp(q1, q2, 0.25))
c = Quaternion(0.0, 0.0, 0.38268348574638367, 0.9238795638084412)
self.assertEqual(c, Quaternion.slerp(q1, q2, 0.5))
c = Quaternion(0.0, 0.0, 0.5555703043937683, 0.8314696550369263)
self.assertEqual(c, Quaternion.slerp(q1, q2, 0.75))
c = Quaternion(0.0, 0.0, 0.7071068286895752, 0.7071068286895752)
self.assertEqual(c, Quaternion.slerp(q1, q2, 1.0))
def test_getData(self):
q = Quaternion(1,2,3,4)
data = q.getData()
assert data[0] == 1
assert data[1] == 2
assert data[2] == 3
assert data[3] == 4
if __name__ == "__main__":
unittest.main()
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