def setUp(self):
self.assembly = Assembly()
surface1 = Surface(FlatGeometryManager(),
opt.RefractiveHomogenous(1., 1.5),
location=N.array([0, 0, -1.]))
surface2 = Surface(FlatGeometryManager(),
opt.RefractiveHomogenous(1., 1.5),
location=N.array([0, 0, 1.]))
object1 = AssembledObject(surfs=[surface1, surface2])
boundary = BoundarySphere(location=N.r_[0, 0., 3], radius=3.)
surface3 = Surface(CutSphereGM(2., boundary), opt.perfect_mirror)
object2 = AssembledObject(surfs=[surface3],
transform=translate(0., 0., 2.))
self.assembly = Assembly(objects=[object1, object2])
x = 1. / (math.sqrt(2))
dir = N.c_[[0, 1., 0.], [0, x, x], [0, 0, 1.]]
position = N.c_[[0, 0, 2.], [0, 0, 2.], [0, 0., 2.]]
self._bund = RayBundle(position,
dir,
ref_index=N.ones(3),
energy=N.ones(3))
self.engine = TracerEngine(self.assembly)
def setUp(self):
self.assembly = Assembly()
surface1 = Surface(flat_surface.FlatGeometryManager(),
optics_callables.RefractiveHomogenous(1., 1.5),
location=N.array([0, 0, -1.]))
surface2 = Surface(flat_surface.FlatGeometryManager(),
optics_callables.RefractiveHomogenous(1., 1.5),
location=N.array([0, 0, 1.]))
self.object1 = AssembledObject()
self.object1.add_surface(surface1)
self.object1.add_surface(surface2)
boundary = BoundarySphere(location=N.r_[0, 0., 3], radius=3.)
surface3 = Surface(CutSphereGM(2., boundary),
optics_callables.perfect_mirror)
self.object2 = AssembledObject()
self.object2.add_surface(surface3)
self.transform = generate_transform(N.r_[1, 0., 0], 0.,
N.c_[[0., 0, 2]])
self.assembly.add_object(self.object1)
self.assembly.add_object(self.object2, self.transform)
x = 1. / (math.sqrt(2))
dir = N.c_[[0, 1., 0.], [0, x, x], [0, 0, 1.]]
position = N.c_[[0, 0, 2.], [0, 0, 2.], [0, 0., 2.]]
self._bund = RayBundle(position,
dir,
energy=N.ones(3),
ref_index=N.ones(3))
class TestParabolicDish(unittest.TestCase):
def setUp(self):
pos = N.zeros((3, 4))
pos[0] = N.r_[0, 0.5, 2, -2]
pos[2] = 2.
dir = N.tile(N.c_[[0, 0, -1]], (1, 4))
self.bund = RayBundle()
self.bund.set_vertices(pos)
self.bund.set_directions(dir)
self.surf = Surface(ParabolicDishGM(2., 1.), opt.perfect_mirror)
def test_selection_at_origin(self):
"""Simple dish rejects missing rays"""
misses = N.isinf(self.surf.register_incoming(self.bund))
N.testing.assert_array_equal(misses, N.r_[False, False, True, True])
def test_transformed(self):
"""Translated and rotated dish rejects missing rays"""
trans = generate_transform(N.r_[1., 0., 0.], N.pi / 4.,
N.c_[[0., 0., 1.]])
self.surf.transform_frame(trans)
misses = N.isinf(self.surf.register_incoming(self.bund))
N.testing.assert_array_equal(misses, N.r_[False, False, True, True])
def test_mesh(self):
"""Parabolic dish mesh looks OK"""
p = ParabolicDishGM(5, 3)
x, y, z = p.mesh(5)
N.testing.assert_array_almost_equal(z, p.a * (x**2 + y**2))
self.failIf(N.any(x**2 + y**2 > 6.25))
class TestTraceProtocol(unittest.TestCase):
def setUp(self):
self._surf = Surface(FlatGeometryManager(), perfect_mirror)
dir = N.array([[1, 1, -1], [-1, 1, -1], [-1, -1, -1], [1, -1, -1]]).T / math.sqrt(3)
position = c_[[0,0,1], [1,-1,1], [1,1,1], [-1,1,1]]
self._bund = RayBundle(position, dir, energy=N.ones(4)*100)
def test_register_incoming(self):
"""Flat mirror: a simple bundle is registered correctly"""
correct_params = r_[[math.sqrt(3)]*4]
params = self._surf.register_incoming(self._bund)
N.testing.assert_array_almost_equal(params, correct_params)
def test_get_outgoing(self):
"""Flat mirror: the correct outgoing bundle is returned"""
params = self._surf.register_incoming(self._bund)
self._surf.select_rays(N.arange(4))
outg = self._surf.get_outgoing()
correct_pts = N.zeros((3,4))
correct_pts[:2,0] = 1
N.testing.assert_array_equal(outg.get_vertices(), correct_pts)
correct_dirs = N.c_[[1, 1, 1], [-1, 1, 1], [-1, -1, 1], [1, -1, 1]] / N.sqrt(3)
N.testing.assert_array_equal(outg.get_directions(), correct_dirs)
N.testing.assert_array_equal(outg.get_energy(), N.ones(4)*100)
N.testing.assert_array_equal(outg.get_parents(), N.arange(4))
def setUp(self):
self._surf = Surface(FlatGeometryManager(), perfect_mirror)
dir = N.array([[1, 1, -1], [-1, 1, -1], [-1, -1, -1], [1, -1, -1]
]).T / math.sqrt(3)
position = c_[[0, 0, 1], [1, -1, 1], [1, 1, 1], [-1, 1, 1]]
self._bund = RayBundle(position, dir, energy=N.ones(4) * 100)
class TestTraceProtocol(unittest.TestCase):
def setUp(self):
self._surf = Surface(FlatGeometryManager(), perfect_mirror)
dir = N.array([[1, 1, -1], [-1, 1, -1], [-1, -1, -1], [1, -1, -1]
]).T / math.sqrt(3)
position = c_[[0, 0, 1], [1, -1, 1], [1, 1, 1], [-1, 1, 1]]
self._bund = RayBundle(position, dir, energy=N.ones(4) * 100)
def test_register_incoming(self):
"""Flat mirror: a simple bundle is registered correctly"""
correct_params = r_[[math.sqrt(3)] * 4]
params = self._surf.register_incoming(self._bund)
N.testing.assert_array_almost_equal(params, correct_params)
def test_get_outgoing(self):
"""Flat mirror: the correct outgoing bundle is returned"""
params = self._surf.register_incoming(self._bund)
self._surf.select_rays(N.arange(4))
outg = self._surf.get_outgoing()
correct_pts = N.zeros((3, 4))
correct_pts[:2, 0] = 1
N.testing.assert_array_equal(outg.get_vertices(), correct_pts)
correct_dirs = N.c_[[1, 1, 1], [-1, 1, 1], [-1, -1, 1],
[1, -1, 1]] / N.sqrt(3)
N.testing.assert_array_equal(outg.get_directions(), correct_dirs)
N.testing.assert_array_equal(outg.get_energy(), N.ones(4) * 100)
N.testing.assert_array_equal(outg.get_parents(), N.arange(4))
class TestParabolicDish(unittest.TestCase):
def setUp(self):
pos = N.zeros((3,4))
pos[0] = N.r_[0, 0.5, 2, -2]
pos[2] = 2.
dir = N.tile(N.c_[[0,0,-1]], (1,4))
self.bund = RayBundle()
self.bund.set_vertices(pos)
self.bund.set_directions(dir)
self.surf = Surface(ParabolicDishGM(2., 1.), opt.perfect_mirror)
def test_selection_at_origin(self):
"""Simple dish rejects missing rays"""
misses = N.isinf(self.surf.register_incoming(self.bund))
N.testing.assert_array_equal(misses, N.r_[False, False, True, True])
def test_transformed(self):
"""Translated and rotated dish rejects missing rays"""
trans = generate_transform(N.r_[1., 0., 0.], N.pi/4., N.c_[[0., 0., 1.]])
self.surf.transform_frame(trans)
misses = N.isinf(self.surf.register_incoming(self.bund))
N.testing.assert_array_equal(misses, N.r_[False, False, True, True])
def test_mesh(self):
"""Parabolic dish mesh looks OK"""
p = ParabolicDishGM(5, 3)
x, y, z = p.mesh(5)
N.testing.assert_array_almost_equal(z, p.a*(x**2 + y**2))
self.failIf(N.any(x**2 + y**2 > 6.25))
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 runTest(self):
pos = N.array([[0, 1.5], [0, -1.5], [1, 0], [-1, 0], [0.1, 0.1], [-0.1, 0.6]])
bund = RayBundle()
bund.set_vertices(N.vstack((pos.T, N.ones(pos.shape[0]))))
bund.set_directions(N.tile(N.c_[[0,0,-1]], (1,6)))
surf = Surface(HexagonalParabolicDishGM(2., 1.), opt.perfect_mirror)
misses = N.isinf(surf.register_incoming(bund))
N.testing.assert_array_equal(misses, N.r_[True, True, True, True, False, False])
def runTest(self):
pos = N.array([[0, 1.5], [0, -1.5], [1, 0], [-1, 0], [0.1, 0.1],
[-0.1, 0.6]])
bund = RayBundle()
bund.set_vertices(N.vstack((pos.T, N.ones(pos.shape[0]))))
bund.set_directions(N.tile(N.c_[[0, 0, -1]], (1, 6)))
surf = Surface(HexagonalParabolicDishGM(2., 1.), opt.perfect_mirror)
misses = N.isinf(surf.register_incoming(bund))
N.testing.assert_array_equal(
misses, N.r_[True, True, True, True, False, False])
def test_selection(self): pos = N.zeros((3,4)) pos[0] = N.r_[0, 0.05, 0.2, -0.3] pos[2] = 1. dir = N.tile(N.c_[[0,0,-1]], (1,4)) bund = RayBundle(pos, dir) surf = Surface(ExtrudedRectPlateGM(width=1, height=1, extr_center=N.vstack([0.2,0.1]), extr_width=0.2, extr_height=0.4), opt.perfect_mirror) misses = N.isinf(surf.register_incoming(bund)) N.testing.assert_array_equal(misses, N.r_[False, False, True, False])
def setUp(self):
pos = N.zeros((3, 4))
pos[0] = N.r_[0, 0.5, 2, -2]
pos[2] = 2.
dir = N.tile(N.c_[[0, 0, -1]], (1, 4))
self.bund = RayBundle()
self.bund.set_vertices(pos)
self.bund.set_directions(dir)
self.surf = Surface(ParabolicDishGM(2., 1.), opt.perfect_mirror)
def test_selection(self):
pos = N.zeros((3,4))
pos[0] = N.r_[0, 0.5, 2, -2]
pos[2] = 1.
dir = N.tile(N.c_[[0,0,-1]], (1,4))
bund = RayBundle(pos, dir)
surf = Surface(RoundPlateGM(1), opt.perfect_mirror)
misses = N.isinf(surf.register_incoming(bund))
N.testing.assert_array_equal(misses, N.r_[False, False, True, True])
def setUp(self):
absorptive = Surface(RectPlateGM(1., 1.),
opt.Reflective(1.),
location=N.r_[0.5, 0., 1.])
reflective = Surface(RectPlateGM(1., 1.),
opt.Reflective(0.),
location=N.r_[-0.5, 0., 1.])
self.assembly = Assembly(
objects=[AssembledObject(surfs=[absorptive, reflective])])
# 4 rays: two toward absorptive, two toward reflective.
pos = N.zeros((3, 4))
pos[0] = N.r_[0.5, 0.25, -0.25, -0.5]
direct = N.zeros((3, 4))
direct[2] = 1.
self.bund = RayBundle(pos, direct, energy=N.ones(4))
def setUp(self):
self.assembly = Assembly()
surface1 = Surface(FlatGeometryManager(), opt.perfect_mirror)
self.object1 = AssembledObject()
self.object1.add_surface(surface1)
boundary = BoundarySphere(location=N.r_[0, 0., 3], radius=3.)
surface3 = Surface(CutSphereGM(2., boundary), opt.perfect_mirror)
self.object2 = AssembledObject()
self.object2.add_surface(surface3)
self.transform1 = generate_transform(N.r_[1., 0, 0], N.pi / 4,
N.c_[[0, 0, -1.]])
self.transform2 = translate(0., 0., 2.)
self.assembly.add_object(self.object1, self.transform1)
self.assembly.add_object(self.object2, self.transform2)
def setUp(self):
self.assembly = Assembly()
surface1 = Surface(flat_surface.FlatGeometryManager(),
optics_callables.RefractiveHomogenous(1., 1.5),
location=N.array([0, 0, -1.]))
surface2 = Surface(flat_surface.FlatGeometryManager(),
optics_callables.RefractiveHomogenous(1.5, 1.),
location=N.array([0, 0, 1.]))
self.object = AssembledObject(surfs=[surface1, surface2])
self.assembly.add_object(self.object)
x = 1 / (math.sqrt(2))
dir = N.c_[[0, -x, x]]
position = N.c_[[0, 1, -2.]]
self._bund = RayBundle(position,
dir,
energy=N.r_[1.],
ref_index=N.r_[1.])
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):
self.x = 1 / (math.sqrt(2))
dir = N.c_[[0, -self.x, self.x], [0, 0, -1]]
position = N.c_[[0, 2, 1], [0, 2, 1]]
self._bund = RayBundle(position, dir, energy=N.ones(2))
rot1 = general_axis_rotation([1, 0, 0], N.pi / 4)
surf1 = Surface(FlatGeometryManager(),
opt.perfect_mirror,
rotation=rot1)
surf2 = Surface(FlatGeometryManager(), opt.perfect_mirror)
assembly = Assembly()
object = AssembledObject()
object.add_surface(surf1)
object.add_surface(surf2)
assembly.add_object(object)
self.engine = TracerEngine(assembly)
def setUp(self):
pos = N.zeros((3,4))
pos[0] = N.r_[0, 0.5, 2, -2]
pos[2] = 2.
dir = N.tile(N.c_[[0,0,-1]], (1,4))
self.bund = RayBundle()
self.bund.set_vertices(pos)
self.bund.set_directions(dir)
self.surf = Surface(ParabolicDishGM(2., 1.), opt.perfect_mirror)
def setUp(self):
dir = N.array([[1, 1, -1], [-1, 1, -1], [-1, -1, -1], [1, -1, -1]
]).T / math.sqrt(3)
position = N.c_[[0, 0, 1], [1, -1, 1], [1, 1, 1], [-1, 1, 1]]
self._bund = RayBundle(position, dir, energy=N.ones(4))
self.assembly = Assembly()
object = AssembledObject()
object.add_surface(Surface(FlatGeometryManager(), opt.perfect_mirror))
self.assembly.add_object(object)
self.engine = TracerEngine(self.assembly)
def setUp(self):
self.eighth_circle_trans = generate_transform(N.r_[1., 0, 0], N.pi / 4,
N.c_[[0., 1, 0]])
self.surf = Surface(flat_surface.FlatGeometryManager(), \
optics_callables.perfect_mirror)
self.obj = AssembledObject(surfs=[self.surf])
self.sub_assembly = Assembly()
self.sub_assembly.add_object(self.obj, self.eighth_circle_trans)
self.assembly = Assembly()
self.assembly.add_assembly(self.sub_assembly, self.eighth_circle_trans)
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):
self.assembly = Assembly()
surface1 = Surface(Paraboloid(), optics_callables.perfect_mirror)
self.object = AssembledObject()
self.object.add_surface(surface1)
self.assembly.add_object(self.object)
x = 1. / (math.sqrt(2))
dir = N.c_[[0, 0, -1.], [0, x, -x]]
position = N.c_[[0, 0, 1.], [0, 0, 1.]]
self._bund = RayBundle(position,
dir,
energy=N.ones(2),
ref_index=N.ones(2))
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)
def cavity_receiver(width, height, absorptivity=1.):
"""
Constructs a lambertian receiver consisting of three faces. Returns a list of receiving faces, the assembled object
"""
front = Surface(RectPlateGM(width, height),opt.LambertianReceiver(absorptivity),location=r_[0.,0.,0.],rotation=general_axis_rotation(r_[1,0,0],N.pi/2))
left = Surface(RectPlateGM(width, height),opt.LambertianReceiver(absorptivity),location=r_[width/2,width/2,0.],rotation=general_axis_rotation(r_[0,1,0],N.pi/-2))
left.width = width
left.height = height/2.
right = Surface(RectPlateGM(width, height),opt.LambertianReceiver(absorptivity),location=r_[width/-2,width/2,0.],rotation=general_axis_rotation(r_[0,1,0],N.pi/2))
right.width = width
right.height = height/2.
rec_obj = AssembledObject(surfs=[left, front, right])
#obj.surfaces_for_next_iteration = types.MethodType(surfaces_for_next_iteration, obj, obj.__class__)
return rec_obj,[left, front, right], [left, front, right]
def two_sided_receiver(width, height, absorptivity=1., location=None):
"""
Constructs a receiver centred at a location and parallel to the xz plane
Arguments:
width - the extent along the x axis in the local frame.
height - the extent along the y axis in the local frame.
absorptivity - the ratio of energy incident on the reflective side that's
not reflected back.
Returns:
front - the receiving surface
obj - the AssembledObject containing both surfaces
"""
front = Surface(RectPlateGM(height, width),
ReflectiveReceiver(absorptivity),
location,
rotation=rotation_matrix(N.pi / 2.0, 0.0, 0.0))
obj = AssembledObject(surfs=[front])
return front, obj
def thin_bladed_receiver(width, height, absorptivity, blades):
"""
Constructs lambertian receiver consisting of thin blades.
"""
front = Surface(RectPlateGM(width, height),opt.LambertianReceiver(absorptivity),location=r_[0.,width/-2.,0.],rotation=general_axis_rotation(r_[1,0,0],N.pi/2))
n = 0
front.axis = [1,0,0]
front.tilt = N.pi/2
crit_ls = []
crit_ls.append(front)
while n < blades:
blade = Surface(RectPlateGM(width, height),opt.LambertianReceiver(absorptivity),location=r_[width/2-(n*width/(blades-1)),0.,0.],rotation=general_axis_rotation(r_[0,1,0],N.pi/-2))
blade.number = n+1
blade.axis = [0,1,0]
blade.tilt = N.pi/2
crit_ls.append(blade)
n += 1
rec_obj = AssembledObject(surfs=crit_ls)
#obj.surfaces_for_next_iteration = types.MethodType(surfaces_for_next_iteration, obj, obj.__class__)
return rec_obj, obj_ls, crit_ls
def test_intersect_ray2(self):
rot = general_axis_rotation([1, 0, 0], N.pi / 4)
surface = Surface(FlatGeometryManager(),
opt.perfect_mirror,
rotation=rot)
assembly = Assembly()
object = AssembledObject()
object.add_surface(surface)
assembly.add_object(object)
engine = TracerEngine(assembly)
surfaces = assembly.get_surfaces()
objects = assembly.get_objects()
surfs_per_obj = [len(obj.get_surfaces()) for obj in objects]
surf_ownership = N.repeat(N.arange(len(objects)), surfs_per_obj)
ray_ownership = -1 * N.ones(self._bund.get_num_rays())
surfs_relevancy = N.ones((len(surfaces), self._bund.get_num_rays()),
dtype=N.bool)
params = engine.intersect_ray(self._bund, surfaces, objects, \
surf_ownership, ray_ownership, surfs_relevancy)[0]
correct_params = N.array([[False, True, False]])
N.testing.assert_array_almost_equal(params, correct_params)
def setUp(self):
self._surf = Surface(FlatGeometryManager(), perfect_mirror)
dir = N.array([[1, 1, -1], [-1, 1, -1], [-1, -1, -1], [1, -1, -1]]).T / math.sqrt(3)
position = c_[[0,0,1], [1,-1,1], [1,1,1], [-1,1,1]]
self._bund = RayBundle(position, dir, energy=N.ones(4)*100)
