def setUp(self):
surface1 = Surface(HemisphereGM(2.),
opt.perfect_mirror,
rotation=general_axis_rotation(
N.r_[1, 0, 0], N.pi / 2.))
surface2 = Surface(HemisphereGM(2.),
opt.perfect_mirror,
location=N.array([0, -2, 0]),
rotation=general_axis_rotation(
N.r_[1, 0, 0], -N.pi / 2.))
self._bund = RayBundle()
self._bund.set_directions(N.c_[[0, 1, 0]])
self._bund.set_vertices(N.c_[[0, -1, 0]])
self._bund.set_energy(N.r_[[1]])
self._bund.set_ref_index(N.r_[[1]])
assembly = Assembly()
object1 = AssembledObject()
object2 = AssembledObject()
object1.add_surface(surface1)
object2.add_surface(surface2)
assembly.add_object(object1)
assembly.add_object(object2)
self.engine = TracerEngine(assembly)
def setUp(self):
self.num_rays = 10
dir = N.tile(N.c_[[0, 0, -1]], (1, self.num_rays))
theta = N.linspace(0, 2 * N.pi, self.num_rays, endpoint=False)
position = N.vstack(
(N.cos(theta), N.sin(theta), N.ones(self.num_rays)))
self._bund = RayBundle(position, dir)
self.gm = HemisphereGM(radius=2.)
self.prm = self.gm.find_intersections(N.eye(4), self._bund)
def setUp(self):
self.num_rays = 10
dir = N.tile(N.c_[[0, 0, -1]], (1, self.num_rays))
theta = N.linspace(0, 2*N.pi, self.num_rays, endpoint=False)
position = N.vstack((N.cos(theta), N.sin(theta), N.ones(self.num_rays)))
self._bund = RayBundle(position, dir)
self.gm = HemisphereGM(radius=2.)
self.prm = self.gm.find_intersections(N.eye(4), self._bund)
def setUp(self):
self.assembly = Assembly()
surface1 = Surface(HemisphereGM(3.),
optics_callables.perfect_mirror,
location=N.array([0, 0, -1.]),
rotation=general_axis_rotation(N.r_[1, 0, 0], N.pi))
surface2 = Surface(HemisphereGM(3.),
optics_callables.perfect_mirror,
location=N.array([0, 0, 1.]))
self.object = AssembledObject()
self.object.add_surface(surface1)
self.object.add_surface(surface2)
self.assembly.add_object(self.object)
dir = N.c_[[0, 0, 1.], [0, 0, 1.]]
position = N.c_[[0, 0, -3.], [0, 0, -1.]]
self._bund = RayBundle(position, dir, energy=N.ones(2))
def setUp(self):
"""
Prepare an assembly with two subassemblies: one assembly representing
a spherical lens behind a flat screen, and one asssembly representing a
perfect mirror.
The mirror will be placed at the two subassemblies' focus, so a paraxial
ray will come back on the other side of the optical axis.
Reference:
In [1], the lensmaker equation
"""
# focal length = 1, thickness = 1/6
R = 1. / 6.
back_surf = Surface(HemisphereGM(R),
opt.RefractiveHomogenous(1., 1.5),
location=N.r_[0., 0., -R / 2.])
front_surf = Surface(HemisphereGM(R),
opt.RefractiveHomogenous(1., 1.5),
location=N.r_[0., 0., R / 2.],
rotation=rotx(N.pi / 2.)[:3, :3])
front_lens = AssembledObject(surfs=[back_surf, front_surf])
back_surf = Surface(RoundPlateGM(R),
opt.RefractiveHomogenous(1., 1.5),
location=N.r_[0., 0., -0.01])
front_surf = Surface(RoundPlateGM(R),
opt.RefractiveHomogenous(1., 1.5),
location=N.r_[0., 0., 0.01])
glass_screen = AssembledObject(surfs=[back_surf, front_surf],
transform=translate(0., 0., 0.5))
lens_assembly = Assembly(objects=[glass_screen, front_lens])
lens_assembly.set_transform(translate(0., 0., 1.))
full_assembly = Assembly(objects=[rect_one_sided_mirror(1., 1., 0.)],
subassemblies=[lens_assembly])
self.engine = TracerEngine(full_assembly)
def setUp(self):
surface = Surface(HemisphereGM(1.),
opt.perfect_mirror,
rotation=general_axis_rotation(N.r_[1, 0, 0], N.pi))
self._bund = RayBundle(energy=N.ones(3))
self._bund.set_directions(N.c_[[0, 1, 0], [0, 1, 0], [0, -1, 0]])
self._bund.set_vertices(N.c_[[0, -2., 0.001], [0, 0, 0.001],
[0, 2, 0.001]])
assembly = Assembly()
object = AssembledObject()
object.add_surface(surface)
assembly.add_object(object)
self.engine = TracerEngine(assembly)
class TestInterface(unittest.TestCase):
def setUp(self):
self.num_rays = 10
dir = N.tile(N.c_[[0, 0, -1]], (1, self.num_rays))
theta = N.linspace(0, 2 * N.pi, self.num_rays, endpoint=False)
position = N.vstack(
(N.cos(theta), N.sin(theta), N.ones(self.num_rays)))
self._bund = RayBundle(position, dir)
self.gm = HemisphereGM(radius=2.)
self.prm = self.gm.find_intersections(N.eye(4), self._bund)
def test_find_intersections(self):
"""The correct parametric locations are found for hemisphere geometry"""
self.failUnlessEqual(self.prm.shape, (self.num_rays, ))
N.testing.assert_array_almost_equal(self.prm, 1 + 2 * N.sin(N.pi / 3))
def test_get_normals(self):
"""Hemisphere surface returns center-pointing normals"""
self.gm.select_rays(N.arange(self.num_rays))
n = self.gm.get_normals()
N.testing.assert_array_almost_equal(n[-1, 0], n[-1, 1:])
N.testing.assert_array_almost_equal(
self._bund.get_vertices()[:2], -n[:2] / N.sqrt(
(n[:2]**2).sum(axis=0)))
def test_inters_points_global(self):
"""Hemisphere returns correct intersections"""
self.gm.select_rays(N.arange(self.num_rays))
pts = self.gm.get_intersection_points_global()
N.testing.assert_array_equal(pts[:2], self._bund.get_vertices()[:2])
N.testing.assert_array_almost_equal(pts[2], -2 * N.sin(N.pi / 3))
def test_mesh(self):
"""The HemisphereGM mesh represents the lower hemisphere only"""
x, y, z = self.gm.mesh(10)
self.failUnless(N.all(z <= 1e-15))
self.failIf(N.any(x**2 + y**2 > 4.0001))
class TestInterface(unittest.TestCase):
def setUp(self):
self.num_rays = 10
dir = N.tile(N.c_[[0, 0, -1]], (1, self.num_rays))
theta = N.linspace(0, 2*N.pi, self.num_rays, endpoint=False)
position = N.vstack((N.cos(theta), N.sin(theta), N.ones(self.num_rays)))
self._bund = RayBundle(position, dir)
self.gm = HemisphereGM(radius=2.)
self.prm = self.gm.find_intersections(N.eye(4), self._bund)
def test_find_intersections(self):
"""The correct parametric locations are found for hemisphere geometry"""
self.failUnlessEqual(self.prm.shape, (self.num_rays,))
N.testing.assert_array_almost_equal(self.prm, 1 + 2*N.sin(N.pi/3))
def test_get_normals(self):
"""Hemisphere surface returns center-pointing normals"""
self.gm.select_rays(N.arange(self.num_rays))
n = self.gm.get_normals()
N.testing.assert_array_almost_equal(n[-1,0], n[-1,1:])
N.testing.assert_array_almost_equal(self._bund.get_vertices()[:2],
-n[:2]/N.sqrt((n[:2]**2).sum(axis=0)))
def test_inters_points_global(self):
"""Hemisphere returns correct intersections"""
self.gm.select_rays(N.arange(self.num_rays))
pts = self.gm.get_intersection_points_global()
N.testing.assert_array_equal(pts[:2], self._bund.get_vertices()[:2])
N.testing.assert_array_almost_equal(pts[2], -2*N.sin(N.pi/3))
def test_mesh(self):
"""The HemisphereGM mesh represents the lower hemisphere only"""
x, y, z = self.gm.mesh(10)
self.failUnless(N.all(z <= 1e-15))
self.failIf(N.any(x**2 + y**2 > 4.0001))
