def test_nearest_to_origin(self):
p1 = (1, 0, 0)
p2 = (0, 1, 0)
p3 = (0, 0, 1)
plane = PlaneEquation.from_three_points(p1, p2, p3)
p = plane.nearest_point_to_origin()
self.assert_sverchok_data_equal(tuple(p), (0.3333, 0.3333, 0.3333), precision=4)
def test_projection_2(self):
p1 = (1, 0, 0)
p2 = (0, 1, 0)
p3 = (0, 0, 1)
plane = PlaneEquation.from_three_points(p1, p2, p3)
point = (3, 3, 3)
result = plane.projection_of_point(point)
self.assert_sverchok_data_equal(tuple(result), (0.3333, 0.3333, 0.3333), precision=4)
def test_nearest_to_origin(self):
p1 = (1, 0, 0)
p2 = (0, 1, 0)
p3 = (0, 0, 1)
plane = PlaneEquation.from_three_points(p1, p2, p3)
p = plane.nearest_point_to_origin()
self.assert_sverchok_data_equal(tuple(p), (0.3333, 0.3333, 0.3333),
precision=4)
def test_plane_from_three_points(self):
p1 = (1, 0, 0)
p2 = (0, 1, 0)
p3 = (0, 0, 1)
plane = PlaneEquation.from_three_points(p1, p2, p3)
self.assertEquals(plane.a, 1)
self.assertEquals(plane.b, 1)
self.assertEquals(plane.c, 1)
self.assertEquals(plane.d, -1)
def test_plane_from_three_points(self):
p1 = (1, 0, 0)
p2 = (0, 1, 0)
p3 = (0, 0, 1)
plane = PlaneEquation.from_three_points(p1, p2, p3)
self.assertEquals(plane.a, 1)
self.assertEquals(plane.b, 1)
self.assertEquals(plane.c, 1)
self.assertEquals(plane.d, -1)
def test_projection_2(self):
p1 = (1, 0, 0)
p2 = (0, 1, 0)
p3 = (0, 0, 1)
plane = PlaneEquation.from_three_points(p1, p2, p3)
point = (3, 3, 3)
result = plane.projection_of_point(point)
self.assert_sverchok_data_equal(tuple(result),
(0.3333, 0.3333, 0.3333),
precision=4)
def test_two_vectors(self):
p1 = (2, 0, 0)
p2 = (0, 1, 0)
p3 = (0, 0, 2)
plane = PlaneEquation.from_three_points(p1, p2, p3)
normal = plane.normal
v1, v2 = plane.two_vectors()
self.assertTrue(abs(normal.dot(v1)) < 1e-8)
self.assertTrue(abs(normal.dot(v2)) < 1e-8)
self.assertTrue(abs(v1.dot(v2)) < 1e-8)
def test_two_vectors(self):
p1 = (2, 0, 0)
p2 = (0, 1, 0)
p3 = (0, 0, 2)
plane = PlaneEquation.from_three_points(p1, p2, p3)
normal = plane.normal
v1, v2 = plane.two_vectors()
self.assertTrue(abs(normal.dot(v1)) < 1e-8)
self.assertTrue(abs(normal.dot(v2)) < 1e-8)
self.assertTrue(abs(v1.dot(v2)) < 1e-8)
def test_projection_4(self):
p1 = (1, 0, 0)
p2 = (0, 1, 0)
p3 = (0, 0, 1)
plane = PlaneEquation.from_three_points(p1, p2, p3)
point1 = (-3, -3, -3)
point2 = (2, 1, 1)
point3 = (1, 1, 2)
point4 = (1, 2, 1)
result = plane.projection_of_points([point1, point2, point3, point4])
expected = np.array([[0.3333, 0.3333, 0.3333], [1,0,0], [0, 0, 1], [0, 1, 0]])
info(result)
self.assert_numpy_arrays_equal(result, expected, precision=4)
def test_projection_4(self):
p1 = (1, 0, 0)
p2 = (0, 1, 0)
p3 = (0, 0, 1)
plane = PlaneEquation.from_three_points(p1, p2, p3)
point1 = (-3, -3, -3)
point2 = (2, 1, 1)
point3 = (1, 1, 2)
point4 = (1, 2, 1)
result = plane.projection_of_points([point1, point2, point3, point4])
expected = np.array([[0.3333, 0.3333, 0.3333], [1, 0, 0], [0, 0, 1],
[0, 1, 0]])
info(result)
self.assert_numpy_arrays_equal(result, expected, precision=4)