def AdjustView(self, eyePosition, targetPosition, upVector): eye = Vector3(eyePosition) target = Vector3(targetPosition) up = Vector3(upVector) zaxis = vector.normalise(eye - target) # The "forward" vector. xaxis = vector.normalise(vector3.cross(up, zaxis)) # The "right" vector. yaxis = vector3.cross(zaxis, xaxis) # The "up" vector. # Create a 4x4 view matrix from the right, up, forward and eye position vectors self.view.r1 = [xaxis[0], yaxis[0], zaxis[0], 0] self.view.r2 = [xaxis[1], yaxis[1], zaxis[1], 0] self.view.r3 = [xaxis[2], yaxis[2], zaxis[2], 0] self.view.r4 =[-vector3.dot( xaxis, eye ), -vector3.dot( yaxis, eye ), -vector3.dot( zaxis, eye ), 1 ] return self.view
def test_operators_vector3(self):
v1 = Vector3()
v2 = Vector3([1.,2.,3.])
# add
self.assertTrue(np.array_equal(v1 + v2, [1.,2.,3.]))
# subtract
self.assertTrue(np.array_equal(v1 - v2, [-1.,-2.,-3.]))
# multiply
self.assertTrue(np.array_equal(v1 * v2, [0.,0.,0.]))
# divide
self.assertTrue(np.array_equal(v1 / v2, [0.,0.,0.]))
# or
self.assertTrue(np.array_equal(v1 | v2, vector3.dot(v1, v2)))
# xor
self.assertTrue(np.array_equal(v1 ^ v2, vector3.cross(v1, v2)))
# ==
self.assertTrue(Vector3() == Vector3())
self.assertFalse(Vector3() == Vector3([1.,1.,1.]))
# !=
self.assertTrue(Vector3() != Vector3([1.,1.,1.]))
self.assertFalse(Vector3() != Vector3())
def test_operators_vector3(self):
v1 = Vector3()
v2 = Vector3([1.,2.,3.])
# add
self.assertTrue(np.array_equal(v1 + v2, [1.,2.,3.]))
# subtract
self.assertTrue(np.array_equal(v1 - v2, [-1.,-2.,-3.]))
# multiply
self.assertTrue(np.array_equal(v1 * v2, [0.,0.,0.]))
# divide
self.assertTrue(np.array_equal(v1 / v2, [0.,0.,0.]))
# or
self.assertTrue(np.array_equal(v1 | v2, vector3.dot(v1, v2)))
# xor
self.assertTrue(np.array_equal(v1 ^ v2, vector3.cross(v1, v2)))
# ==
self.assertTrue(Vector3() == Vector3())
self.assertFalse(Vector3() == Vector3([1.,1.,1.]))
# !=
self.assertTrue(Vector3() != Vector3([1.,1.,1.]))
self.assertFalse(Vector3() != Vector3())
def test_bitwise(self):
v1 = Vector3([1.,0.,0.])
v2 = Vector3([0.,1.,0.])
# xor (cross)
self.assertTrue(np.array_equal(v1 ^ v2, vector3.cross(v1, v2)))
# or (dot)
self.assertTrue(np.array_equal(v1 | v2, vector3.dot(v1, v2)))
def test_bitwise(self):
v1 = Vector3([1.,0.,0.])
v2 = Vector3([0.,1.,0.])
# xor (cross)
self.assertTrue(np.array_equal(v1 ^ v2, vector3.cross(v1, v2)))
# or (dot)
self.assertTrue(np.array_equal(v1 | v2, vector3.dot(v1, v2)))
def test_dot_batch(self):
result = vector3.dot([
[1.,0.,0.],
[0.,1.,0.],
[.2,.2,0.]
],[
[0.,1.,0.],
[0.,1.,0.],
[2.,-.2,0.]
])
expected = [0.,1.,0.36]
np.testing.assert_almost_equal(result, expected, decimal=5)
def test_dot_batch(self):
result = vector3.dot([
[1.,0.,0.],
[0.,1.,0.],
[.2,.2,0.]
],[
[0.,1.,0.],
[0.,1.,0.],
[2.,-.2,0.]
])
expected = [0.,1.,0.36]
np.testing.assert_almost_equal(result, expected, decimal=5)
def test_dot_angle(self):
result = vector3.dot([.2, .2, 0.], [2., -.2, 0.])
np.testing.assert_almost_equal(result, 0.36, decimal=5)
def test_dot_parallel(self):
result = vector3.dot([0., 1., 0.], [0., 1., 0.])
np.testing.assert_almost_equal(result, 1.0, decimal=5)
def test_dot_adjacent(self):
result = vector3.dot([1., 0., 0.], [0., 1., 0.])
np.testing.assert_almost_equal(result, 0.0, decimal=5)
def test_dot_angle(self):
result = vector3.dot([.2,.2,0.], [2.,-.2,0.])
np.testing.assert_almost_equal(result, 0.36, decimal=5)
def test_dot_parallel(self):
result = vector3.dot([0.,1.,0.], [0.,1.,0.])
np.testing.assert_almost_equal(result, 1.0, decimal=5)
def test_dot_adjacent(self):
result = vector3.dot([1.,0.,0.], [0.,1.,0.])
np.testing.assert_almost_equal(result, 0.0, decimal=5)