def setUp(self):
# Two rays inside, two outside; two horizontal, two slanted.
pos = N.c_[[0., 0., 0.], [0., 0., 0.], [0., 1., 0.], [0., 1., 0.]]
dir = N.c_[[0., 1., 0.], [0., 1., 1.], [0., -1., 0.], [0., -1., 1.]]
dir /= N.sqrt(N.sum(dir**2, axis=0))
self.bund = RayBundle(pos, dir)
self.gm = InfiniteCylinder(diameter=1.)
class TestInfiniteCylinder(unittest.TestCase):
def setUp(self):
# Two rays inside, two outside; two horizontal, two slanted.
pos = N.c_[[0., 0., 0.], [0., 0., 0.], [0., 1., 0.], [0., 1., 0.]]
dir = N.c_[[0., 1., 0.], [0., 1., 1.], [0., -1., 0.], [0., -1., 1.]]
dir /= N.sqrt(N.sum(dir**2, axis=0))
self.bund = RayBundle(pos, dir)
self.gm = InfiniteCylinder(diameter=1.)
def test_vertical(self):
"""Cylinder parallel to the Z axis"""
correct_prm = N.r_[0.5, N.sqrt(0.5), 0.5, N.sqrt(0.5)]
prm = self.gm.find_intersections(N.eye(4), self.bund)
N.testing.assert_array_almost_equal(prm, correct_prm)
self.gm.select_rays(N.arange(4))
correct_norm = N.c_[[0., -1., 0.], [0., -1., 0.], [0., 1., 0.],
[0., 1., 0.]]
norm = self.gm.get_normals()
N.testing.assert_array_almost_equal(norm, correct_norm)
correct_pts = N.c_[[0., 0.5, 0.], [0., 0.5, 0.5], [0., 0.5, 0.],
[0., 0.5, 0.5]]
pts = self.gm.get_intersection_points_global()
N.testing.assert_array_almost_equal(pts, correct_pts)
def test_rotated(self):
"""Rotate cylinder by 30 degrees"""
frame = rotx(N.pi / 6)
ydist = 0.5 / N.cos(N.pi / 6)
# Ray parameter of slanted rays using sine law:
p1 = N.sin(2 * N.pi / 3) * (1 - ydist) / N.sin(N.pi / 12)
p2 = N.sin(N.pi / 3) * ydist / N.sin(5 * N.pi / 12)
correct_prm = N.r_[ydist, p2, 1 - ydist, p1]
prm = self.gm.find_intersections(frame, self.bund)
N.testing.assert_array_almost_equal(prm, correct_prm)
self.gm.select_rays(N.arange(4))
outwrd = N.r_[0., N.cos(N.pi / 6), 0.5]
correct_norm = N.c_[-outwrd, -outwrd, outwrd, outwrd]
norm = self.gm.get_normals()
N.testing.assert_array_almost_equal(norm, correct_norm)
correct_pts = N.c_[[0., ydist, 0.],
[0., p2 * N.sqrt(0.5), p2 * N.sqrt(0.5)],
[0., ydist, 0.],
[0., 1 - p1 * N.sqrt(0.5), p1 * N.sqrt(0.5)]]
pts = self.gm.get_intersection_points_global()
N.testing.assert_array_almost_equal(pts, correct_pts)
class TestInfiniteCylinder(unittest.TestCase):
def setUp(self):
# Two rays inside, two outside; two horizontal, two slanted.
pos = N.c_[[0., 0., 0.], [0., 0., 0.], [0., 1., 0.], [0., 1., 0.]]
dir = N.c_[[0., 1., 0.], [0., 1., 1.], [0.,-1., 0.], [0.,-1., 1.]]
dir /= N.sqrt(N.sum(dir**2, axis=0))
self.bund = RayBundle(pos, dir)
self.gm = InfiniteCylinder(diameter=1.)
def test_vertical(self):
"""Cylinder parallel to the Z axis"""
correct_prm = N.r_[0.5, N.sqrt(0.5), 0.5, N.sqrt(0.5)]
prm = self.gm.find_intersections(N.eye(4), self.bund)
N.testing.assert_array_almost_equal(prm, correct_prm)
self.gm.select_rays(N.arange(4))
correct_norm = N.c_[[0.,-1., 0.], [0.,-1., 0.], [0.,1., 0.], [0.,1., 0.]]
norm = self.gm.get_normals()
N.testing.assert_array_almost_equal(norm, correct_norm)
correct_pts = N.c_[
[0., 0.5, 0.], [0., 0.5, 0.5],
[0., 0.5, 0.], [0., 0.5, 0.5]]
pts = self.gm.get_intersection_points_global()
N.testing.assert_array_almost_equal(pts, correct_pts)
def test_rotated(self):
"""Rotate cylinder by 30 degrees"""
frame = rotx(N.pi/6)
ydist = 0.5/N.cos(N.pi/6)
# Ray parameter of slanted rays using sine law:
p1 = N.sin(2*N.pi/3) * (1 - ydist) / N.sin(N.pi/12)
p2 = N.sin(N.pi/3) * ydist / N.sin(5*N.pi/12)
correct_prm = N.r_[ydist, p2 , 1 - ydist, p1]
prm = self.gm.find_intersections(frame, self.bund)
N.testing.assert_array_almost_equal(prm, correct_prm)
self.gm.select_rays(N.arange(4))
outwrd = N.r_[0., N.cos(N.pi/6), 0.5]
correct_norm = N.c_[-outwrd, -outwrd, outwrd, outwrd]
norm = self.gm.get_normals()
N.testing.assert_array_almost_equal(norm, correct_norm)
correct_pts = N.c_[
[0., ydist, 0.], [0., p2*N.sqrt(0.5), p2*N.sqrt(0.5)],
[0., ydist, 0.], [0., 1 - p1*N.sqrt(0.5), p1*N.sqrt(0.5)]]
pts = self.gm.get_intersection_points_global()
N.testing.assert_array_almost_equal(pts, correct_pts)
def setUp(self):
# Two rays inside, two outside; two horizontal, two slanted.
pos = N.c_[[0., 0., 0.], [0., 0., 0.], [0., 1., 0.], [0., 1., 0.]]
dir = N.c_[[0., 1., 0.], [0., 1., 1.], [0.,-1., 0.], [0.,-1., 1.]]
dir /= N.sqrt(N.sum(dir**2, axis=0))
self.bund = RayBundle(pos, dir)
self.gm = InfiniteCylinder(diameter=1.)
