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(FlatGeometryManager(), opt.RefractiveHomogenous(1., 1.5),
location=N.r_[0., 0., -0.01])
front_surf = Surface(FlatGeometryManager(), 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)
class TestObjectBuilding2(unittest.TestCase):
"""Tests an object composed of two flat surfaces"""
flat_only = True
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 test_refraction1(self):
"""Tests the refractive functions after a single intersection"""
self.engine = TracerEngine(self.assembly)
ans = self.engine.ray_tracer(self._bund,1,.05)
params = N.arctan(ans[1][1]/ans[1][2])
correct_params = N.r_[0.785398163, -.4908826]
N.testing.assert_array_almost_equal(params, correct_params)
def test_refraction2(self):
"""Tests the refractive functions after two intersections"""
self.engine = TracerEngine(self.assembly)
ans = self.engine.ray_tracer(self._bund,2,.05)
params = N.arctan(ans[1][1]/ans[1][2])
correct_params = N.r_[-0.7853981]
N.testing.assert_array_almost_equal(params, correct_params)
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 TestTraceProtocol1(unittest.TestCase):
"""
Tests intersect_ray and the bundle driver with a single flat surface, not rotated, with
a single interation
"""
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 test_intersect_ray1(self):
surfaces = self.assembly.get_surfaces()
objects = self.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 = self.engine.intersect_ray(self._bund, surfaces, objects, \
surf_ownership, ray_ownership, surfs_relevancy)[0]
self.failUnless(params.all())
def test_ray_tracer(self):
"""Ray tracer after one iteration returns what the surface would have"""
params = self.engine.ray_tracer(self._bund,1,.05)[0]
correct_pts = N.zeros((3,4))
correct_pts[:2,0] = 1
N.testing.assert_array_almost_equal(params, correct_pts)
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.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)
class TestAssemblyBuilding3(unittest.TestCase):
"""Tests an assembly composed of objects that are transformed rel. the 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))
def test_assembly1(self):
"""Tests the assembly after one iteration"""
self.engine = TracerEngine(self.assembly)
ans = self.engine.ray_tracer(self._bund, 1, .05)
params = N.arctan(ans[1][1] / ans[1][2])
correct_params = N.r_[0.7853981, 0]
N.testing.assert_array_almost_equal(params, correct_params)
def test_assembly2(self):
"""Tests the assembly after two iterations"""
self.engine = TracerEngine(self.assembly)
params = self.engine.ray_tracer(self._bund, 2, .05)[0]
correct_params = N.c_[[0, -1, 1], [0, -1, 1], [0, 0, 1]]
N.testing.assert_array_almost_equal(params, correct_params)
def test_assembly3(self):
"""Tests the assembly after three iterations"""
self.engine = TracerEngine(self.assembly)
params = self.engine.ray_tracer(self._bund, 3, .05)[0]
correct_params = N.c_[[0, -2.069044, -1], [0, 0, -1]]
N.testing.assert_array_almost_equal(params, correct_params)
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):
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)
class TestAssemblyBuilding3(unittest.TestCase):
"""Tests an assembly composed of objects that are transformed rel. the 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))
def test_assembly1(self):
"""Tests the assembly after one iteration"""
self.engine = TracerEngine(self.assembly)
ans = self.engine.ray_tracer(self._bund,1,.05)
params = N.arctan(ans[1][1]/ans[1][2])
correct_params = N.r_[0.7853981, 0]
N.testing.assert_array_almost_equal(params, correct_params)
def test_assembly2(self):
"""Tests the assembly after two iterations"""
self.engine = TracerEngine(self.assembly)
params = self.engine.ray_tracer(self._bund,2,.05)[0]
correct_params = N.c_[[0,-1,1], [0,-1,1],[0,0,1]]
N.testing.assert_array_almost_equal(params, correct_params)
def test_assembly3(self):
"""Tests the assembly after three iterations"""
self.engine = TracerEngine(self.assembly)
params = self.engine.ray_tracer(self._bund, 3,.05)[0]
correct_params = N.c_[[0,-2.069044,-1],[0,0,-1]]
N.testing.assert_array_almost_equal(params, correct_params)
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 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)
class TestTree(unittest.TestCase):
"""Tests an assembly composed of objects"""
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 test_tree1(self):
"""Tests that the tracing tree works, with three rays"""
x = 1. / (math.sqrt(2))
dir = N.c_[[0, x, x], [0, -x, x], [0, 0, 1.]]
position = N.c_[[0, 0, 2.], [0, 0, 2.], [0, 0., 2.]]
bund = RayBundle(position, dir, energy=N.ones(3))
self.engine = TracerEngine(self.assembly)
self.engine.ray_tracer(bund, 3, .05)[0]
params = self.engine.tree.ordered_parents()
correct_params = [N.r_[0, 1, 2], N.r_[1, 2], N.r_[0]]
N.testing.assert_equal(params, correct_params)
def test_tree2(self):
"""Tests that the tracing tree works, with a new set of rays"""
x = 1. / (math.sqrt(2))
position = N.c_[[0, 0., -5.], [0, 0., 2.], [0, 2., -5.], [0, 0., 0],
[0, 0, 2.]]
dir = N.c_[[0, 0, 1.], [0, x, -x], [0, 0, -1.], [0, 0, 1.], [0, -x, x]]
bund = RayBundle(position, dir, energy=N.ones(5))
self.engine = TracerEngine(self.assembly)
self.engine.ray_tracer(bund, 3, .05)[0]
params = self.engine.tree.ordered_parents()
correct_params = [N.r_[0, 1, 3, 4], N.r_[2, 3, 1], N.r_[2, 1]]
N.testing.assert_equal(params, correct_params)
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))
def gen_plant(self,
width=6.1,
height=6.1,
absorptivity=0.04,
aim_height=60.,
sigma_xy=1e-3,
rec_w=11.,
rec_h=11.):
self.pos[:,
1] = self.pos[:,
1] - 4. # correction for the true position of the plate on the tower.
self.width = width
self.height = height
self.absorptivity = absorptivity
self.field = HeliostatField(self.pos, width, height, absorptivity,
aim_height, sigma_xy)
self.rec_w = rec_w
self.rec_h = rec_h
rec, recobj = one_sided_receiver(self.rec_w, self.rec_h)
rec_trans = rotx(N.pi / -2)
rec_trans[2, 3] = self.field._th
# Evaluating just the receiver
recobj.set_transform(rec_trans)
self.plant = Assembly(objects=[recobj], subassemblies=[self.field])
def test_pyramid(self):
"""A simple right-pyramid triangular mesh"""
# Face set:
verts = np.vstack(
(np.zeros(3), np.eye(3))) # origin + unit along each axis
faces = np.array([[0, 1, 2], [0, 1, 3], [0, 2, 3], [1, 2, 3]])
assembly = Assembly(
objects=[TriangulatedSurface(verts, faces, perfect_mirror)])
# Ray bundle:
pos = np.c_[[1.5, 0.5, 0.5], [-0.5, 0.5, 0.5], [0.5, 1.5, 0.5],
[0.5, -0.5, 0.5], [0.5, 0.5, -0.5], [0.5, 0.5, 1.5]]
direct = np.c_[[-1., 0., 0.], [1., 0., 0.], [0., -1., 0.],
[0., 1., 0.], [0., 0., 1.], [0., 0., -1.]]
rayb = RayBundle(pos, direct, energy=np.ones(6))
engine = TracerEngine(assembly)
verts = engine.ray_tracer(rayb, 1, .05)[0]
p = engine.tree[-1].get_parents()
zrays = (p >= 4)
np.testing.assert_array_equal(verts[:, zrays],
np.tile(np.c_[[0.5, 0.5, 0.]], (1, 4)))
yrays = (p == 2) | (p == 3
) # Only 2 rays here. Edge degeneracy? maybe.
np.testing.assert_array_equal(verts[:, yrays],
np.tile(np.c_[[0.5, 0., 0.5]], (1, 4)))
xrays = (p < 2)
np.testing.assert_array_equal(verts[:, xrays],
np.tile(np.c_[[0., 0.5, 0.5]], (1, 4)))
def test_tetrahedron(self):
"""Triangular mesh with oblique triangles"""
# Face set:
theta = np.arange(np.pi / 2., np.pi * 2, 2 * np.pi / 3)
base_verts = np.vstack((np.cos(theta), np.sin(theta), np.ones(3))).T
verts = np.vstack((np.zeros(3), base_verts))
faces = np.array([[0, 1, 2], [0, 1, 3], [0, 2, 3], [1, 2, 3]])
fset = TriangulatedSurface(verts, faces, perfect_mirror)
# Flat floor:
floor = rect_one_sided_mirror(5., 5., 1.)
floor.set_location(np.r_[0., 0., 1.])
assembly = Assembly(objects=[fset, floor])
# Ray bundle of 3 rays starting at equal angles around the tetrahedron:
theta -= np.pi / 3.
pos = np.vstack((np.cos(theta), np.sin(theta), np.ones(3) * 0.2)) * 0.2
direct = np.vstack((np.zeros((2, 3)), np.ones(3)))
rayb = RayBundle(pos, direct, energy=np.ones(6))
# Check that the points on the floor describe an isosceles.
engine = TracerEngine(assembly)
engine.ray_tracer(rayb, 2, .05)[0]
verts = engine.tree[-1].get_vertices()
sizes = np.sqrt(np.sum((verts - np.roll(verts, 1, axis=1))**2, axis=0))
self.assertAlmostEqual(sizes[0], sizes[1])
self.assertAlmostEqual(sizes[2], sizes[1])
class TestTraceProtocol3(unittest.TestCase):
"""
Tests intersect_ray and the bundle driver with two rotated planes, with a single iteration
"""
def setUp(self):
self.x = 1 / (math.sqrt(2))
dir = N.c_[[0, self.x, -self.x], [0, 1, 0]]
position = N.c_[[0, 0, 1], [0, 0, 1]]
self._bund = RayBundle(position, dir, energy=N.ones(2))
rot1 = general_axis_rotation([1, 0, 0], N.pi / 4)
rot2 = general_axis_rotation([1, 0, 0], N.pi / (-4))
surf1 = Surface(FlatGeometryManager(),
opt.perfect_mirror,
rotation=rot1)
surf2 = Surface(FlatGeometryManager(),
opt.perfect_mirror,
rotation=rot2)
self.assembly = Assembly()
object = AssembledObject()
object.add_surface(surf1)
object.add_surface(surf2)
self.assembly.add_object(object)
self.engine = TracerEngine(self.assembly)
def test_intersect_ray(self):
surfaces = self.assembly.get_surfaces()
objects = self.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 = self.engine.intersect_ray(self._bund, surfaces, objects, \
surf_ownership, ray_ownership, surfs_relevancy)[0]
correct_params = N.array([[True, True], [False, False]])
N.testing.assert_array_almost_equal(params, correct_params)
def test_ray_tracer1(self):
params = self.engine.ray_tracer(self._bund, 1, .05)[0]
correct_params = N.c_[[0, .5, .5], [0, 1, 1]]
N.testing.assert_array_almost_equal(params, correct_params)
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.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 gen_plant(self):
"""Generates the entire plant"""
# set heliostat field characteristics: 6.09m*6.09m, abs = 0.04, aim_location_xyz =60
self.field = HeliostatGenerator(self.helio_w,
self.helio_h,
self.helio_abs,
self.helio_sigmaxy,
slope='normal',
curved=True,
pos=self.pos,
foc=self.helio_focal)
self.field(
KnownField(self.heliostatcsv, self.pos,
N.array([self.helio_focal]).T)) #field(layout)
heliostats = Assembly(objects=self.field._heliostats)
aiming = SinglePointAiming(self.pos, self.recv_centre, False)
if self.helio_tracking == 'TiltRoll':
tracking = TiltRoll(solar_vector(self.azimuth, self.zenith), False)
elif self.helio_tracking == 'AzEl':
tracking = AzElTrackings(solar_vector(self.azimuth, self.zenith),
False)
tracking.aim_to_sun(-self.pos, aiming.aiming_points, False)
tracking(self.field)
self.plant = Assembly(objects=[self.recv_obj],
subassemblies=[heliostats])
##### Calculate Total Recv area #####
areacount = 0.
corners = self.recv_surf.mesh(
0) #corners is an array of all corners of the plate
# BLC is bottom left corner "origin" of the histogram plot
# BRC is the bottom right corner "x-axis" used for vector u
# TLC is the top right corner "y-axis" used for vector v
BLC = N.array([corners[0][1][1], corners[1][1][1], corners[2][1][1]])
BRC = N.array([corners[0][0][1], corners[1][0][1], corners[2][0][1]])
TLC = N.array([corners[0][1][0], corners[1][1][0], corners[2][1][0]])
# Get vectors u and v in array form of array([x,y,z])
u = BRC - BLC
v = TLC - BLC
# Get width(magnitude of u) and height(magnitude of v) in float form
w = (sum(u**2))**0.5
h = (sum(v**2))**0.5
areacount += w * h
self.recv_area = areacount
print("Reciver area", self.recv_area)
class TestTree(unittest.TestCase):
"""Tests an assembly composed of objects"""
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 test_tree1(self):
"""Tests that the tracing tree works, with three rays"""
x = 1./(math.sqrt(2))
dir = N.c_[[0,x,x],[0,-x,x],[0,0,1.]]
position = N.c_[[0,0,2.],[0,0,2.],[0,0.,2.]]
bund = RayBundle(position, dir, energy=N.ones(3))
self.engine = TracerEngine(self.assembly)
self.engine.ray_tracer(bund,3,.05)[0]
params = self.engine.tree.ordered_parents()
correct_params = [N.r_[0,1,2],N.r_[1,2],N.r_[0]]
N.testing.assert_equal(params, correct_params)
def test_tree2(self):
"""Tests that the tracing tree works, with a new set of rays"""
x = 1./(math.sqrt(2))
position = N.c_[[0,0.,-5.],[0,0.,2.],[0,2.,-5.],[0,0.,0],[0,0,2.]]
dir = N.c_[[0,0,1.],[0,x,-x],[0,0,-1.],[0,0,1.],[0,-x,x]]
bund = RayBundle(position, dir, energy=N.ones(5))
self.engine = TracerEngine(self.assembly)
self.engine.ray_tracer(bund,3,.05)[0]
params = self.engine.tree.ordered_parents()
correct_params = [N.r_[0,1,3,4],N.r_[2,3,1],N.r_[2,1]]
N.testing.assert_equal(params, correct_params)
def gen_plant(self):
# set heliostat field characteristics: 6.09m*6.09m, abs = 0, aim_h = 61
self.pos[:,
1] = self.pos[:,
1] - 4. # correct6ion for the true position of the plate on the tower.
self.field = HeliostatField(self.pos,
6.09,
6.09,
absorptivity=0.04,
aim_height=60,
sigma_xy=1e-3,
option=None)
self.rec_w = 11
self.rec_h = 11
self.rec, recobj = one_sided_receiver(self.rec_w, self.rec_h)
rec_trans = rotx(N.pi / -2)
rec_trans[2, 3] = self.field._th
#=================
ground_rec = False
#=================
if ground_rec:
# Evaluating missed rays in the field along with receiver
radius = 1.10 * math.sqrt((self.x_dist / 2)**2 +
(self.y_dist / 2)**2)
self.ground_rec, ground_recobj = one_sided_receiver(
3 * radius, 3 * radius)
ground_rec_trans = rotz(0)
ground_rec_trans[0, 3] = self.field_centre[0]
ground_rec_trans[1, 3] = self.field_centre[1]
recobj.set_transform(rec_trans)
ground_recobj.set_transform(ground_rec_trans)
self.plant = Assembly(objects=[recobj, ground_recobj],
subassemblies=[self.field])
else:
# Evaluating just the receiver
recobj.set_transform(rec_trans)
self.plant = Assembly(objects=[recobj], subassemblies=[self.field])
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.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.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):
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 test_cylinder_height(self):
"""The bounding cylinder exists for planoconvex lens"""
f = self.lens.focal_length()
rb = RayBundle(N.c_[[0., 0., -0.01]], N.c_[[1., 0., 0.]],
energy=N.r_[1.], ref_index=N.r_[1.5])
e = TracerEngine(Assembly([self.lens]))
verts, dirs = e.ray_tracer(rb, 1, 1e-6)
N.testing.assert_array_equal(verts, N.array([]).reshape(3,0))
class TestTraceProtocol3(unittest.TestCase):
"""
Tests intersect_ray and the bundle driver with two rotated planes, with a single iteration
"""
def setUp(self):
self.x = 1/(math.sqrt(2))
dir = N.c_[[0,self.x,-self.x],[0,1,0]]
position = N.c_[[0,0,1],[0,0,1]]
self._bund = RayBundle(position, dir, energy=N.ones(2))
rot1 = general_axis_rotation([1,0,0],N.pi/4)
rot2 = general_axis_rotation([1,0,0],N.pi/(-4))
surf1 = Surface(FlatGeometryManager(), opt.perfect_mirror, rotation=rot1)
surf2 = Surface(FlatGeometryManager(), opt.perfect_mirror, rotation=rot2)
self.assembly = Assembly()
object = AssembledObject()
object.add_surface(surf1)
object.add_surface(surf2)
self.assembly.add_object(object)
self.engine = TracerEngine(self.assembly)
def test_intersect_ray(self):
surfaces = self.assembly.get_surfaces()
objects = self.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 = self.engine.intersect_ray(self._bund, surfaces, objects, \
surf_ownership, ray_ownership, surfs_relevancy)[0]
correct_params = N.array([[True, True],[False, False]])
N.testing.assert_array_almost_equal(params,correct_params)
def test_ray_tracer1(self):
params = self.engine.ray_tracer(self._bund, 1,.05)[0]
correct_params = N.c_[[0,.5,.5],[0,1,1]]
N.testing.assert_array_almost_equal(params,correct_params)
def test_cylinder(self):
"""The bounding cylinder exists for biconcave lens"""
f = self.lens.focal_length()
rb = RayBundle(N.c_[[0., 0., 0.08]], N.c_[[1., 0., 0.]],
energy=N.r_[1.], ref_index=N.r_[1.5])
e = TracerEngine(Assembly([self.lens]))
verts, dirs = e.ray_tracer(rb, 1, 1e-6)
N.testing.assert_array_equal(verts, N.tile(N.c_[[0.5, 0., 0.08]], (1,2)))
N.testing.assert_array_equal(dirs, N.c_[[-1., 0., 0.], [1., 0., 0.]])
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 gen_plant(self):
xy = radial_stagger(-N.pi/4, N.pi/4 + 0.0001, self.ang_res, 5, 20, self.radial_res)
self.pos = N.hstack((xy, N.zeros((xy.shape[0], 1))))
self.field = HeliostatField(self.pos, 0.5, 0.5, 0, 10)
self.rec, recobj = one_sided_receiver(1., 1.)
rec_trans = roty(N.pi/2)
rec_trans[2,3] = 10
recobj.set_transform(rec_trans)
self.plant = Assembly(objects=[recobj], subassemblies=[self.field])
class TestAssemblyBuilding4(unittest.TestCase):
"""Tests an assembly composed of objects"""
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 test_paraboloid1(self):
"""Tests a paraboloid"""
self.engine = TracerEngine(self.assembly)
params = self.engine.ray_tracer(self._bund,1,.05)[0]
correct_params = N.c_[[0,0,0],[0,0.618033989, 0.381966011]]
N.testing.assert_array_almost_equal(params, correct_params)
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 test_regular(self):
"""One-sided plate without rotation"""
e = TracerEngine(Assembly(objects=[self.mirror]))
e.ray_tracer(self.bund, 1, 0.05)
outg = e.tree[-1]
correct_verts = N.zeros((3, 2))
correct_verts[0] = N.r_[0, 0.5]
N.testing.assert_array_equal(
outg.get_vertices()[:, outg.get_energy() > 0], correct_verts)
N.testing.assert_array_almost_equal(outg.get_energy(), N.r_[100., 100.,
0, 0])
def test_paraxial_ray(self):
"""A paraxial ray reaches the focus of a planoconvex lens"""
rb = RayBundle(N.c_[[0., 0.001, 1.]], N.c_[[0., 0., -1.]],
energy=N.r_[1.], ref_index=N.r_[1.])
screen = rect_one_sided_mirror(5, 5)
f = self.lens.focal_length()
screen.set_transform(translate(0, 0, -f))
e = TracerEngine(Assembly([self.lens, screen]))
vert, _ = e.ray_tracer(rb, 3, 1e-6)
self.failUnlessAlmostEqual(vert[1,2], 0, 4)
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)
class TestObjectBuilding2(unittest.TestCase):
"""Tests an object composed of two flat surfaces"""
flat_only = True
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 test_refraction1(self):
"""Tests the refractive functions after a single intersection"""
self.engine = TracerEngine(self.assembly)
ans = self.engine.ray_tracer(self._bund, 1, .05)
params = N.arctan(ans[1][1] / ans[1][2])
correct_params = N.r_[0.785398163, -.4908826]
N.testing.assert_array_almost_equal(params, correct_params)
def test_refraction2(self):
"""Tests the refractive functions after two intersections"""
self.engine = TracerEngine(self.assembly)
ans = self.engine.ray_tracer(self._bund, 2, .05)
params = N.arctan(ans[1][1] / ans[1][2])
correct_params = N.r_[-0.7853981]
N.testing.assert_array_almost_equal(params, correct_params)
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)
class TestObjectBuilding1(unittest.TestCase):
"""Tests an object composed of sphere surfaces"""
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 test_object(self):
"""Tests that the assembly heirarchy works at a basic level"""
self.engine = TracerEngine(self.assembly)
inters = self.engine.ray_tracer(self._bund,1,.05)[0]
correct_inters = N.c_[[0,0,2],[0,0,-2]]
N.testing.assert_array_almost_equal(inters, correct_inters)
def test_translation(self):
"""Tests an assembly that has been translated"""
trans = N.array([[1,0,0,0],[0,1,0,0],[0,0,1,1],[0,0,0,1]])
self.assembly.transform_children(trans)
self.engine = TracerEngine(self.assembly)
params = self.engine.ray_tracer(self._bund,1,.05)[0]
correct_params = N.c_[[0,0,3],[0,0,-1]]
N.testing.assert_array_almost_equal(params, correct_params)
def test_rotation_and_translation(self):
"""Tests an assembly that has been translated and rotated"""
self._bund = RayBundle()
self._bund.set_vertices(N.c_[[0,-5,1],[0,5,1]])
self._bund.set_directions(N.c_[[0,1,0],[0,1,0]])
self._bund.set_energy(N.r_[[1,1]])
self._bund.set_ref_index(N.r_[[1,1]])
trans = generate_transform(N.r_[[1,0,0]], N.pi/2, N.c_[[0,0,1]])
self.assembly.transform_children(trans)
self.engine = TracerEngine(self.assembly)
params = self.engine.ray_tracer(self._bund,1,.05)[0]
correct_params = N.c_[[0,-2,1]]
N.testing.assert_array_almost_equal(params, correct_params)
def test_rotated(self):
"""One-sided plate with rotation"""
rot = sp.roty(N.pi / 4.)
self.mirror.set_transform(rot)
e = TracerEngine(Assembly(objects=[self.mirror]))
e.ray_tracer(self.bund, 1, 0.05)
outg = e.tree[-1]
correct_verts = N.array([[0., 0.5], [0., 0.], [0., -0.5]])
N.testing.assert_array_almost_equal(
outg.get_vertices()[:, outg.get_energy() > 0], correct_verts)
N.testing.assert_array_almost_equal(outg.get_energy(), N.r_[100., 100.,
0, 0])
class TestTraceProtocol1(unittest.TestCase):
"""
Tests intersect_ray and the bundle driver with a single flat surface, not rotated, with
a single interation
"""
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 test_intersect_ray1(self):
surfaces = self.assembly.get_surfaces()
objects = self.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 = self.engine.intersect_ray(self._bund, surfaces, objects, \
surf_ownership, ray_ownership, surfs_relevancy)[0]
self.failUnless(params.all())
def test_ray_tracer(self):
"""Ray tracer after one iteration returns what the surface would have"""
params = self.engine.ray_tracer(self._bund, 1, .05)[0]
correct_pts = N.zeros((3, 4))
correct_pts[:2, 0] = 1
N.testing.assert_array_almost_equal(params, correct_pts)
class TestAssemblyBuilding4(unittest.TestCase):
"""Tests an assembly composed of objects"""
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 test_paraboloid1(self):
"""Tests a paraboloid"""
self.engine = TracerEngine(self.assembly)
params = self.engine.ray_tracer(self._bund, 1, .05)[0]
correct_params = N.c_[[0, 0, 0], [0, 0.618033989, 0.381966011]]
N.testing.assert_array_almost_equal(params, correct_params)
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 gen_plant(self): """Generates the entire plant""" # set heliostat field characteristics: 0.52m*0.52m, abs = 0, aim_h =61 self.field = HeliostatField(self.pos, 6.09e-1, 6.09e-1, 0, 6.1, 1e-3) # generates a transformation matrix of the receiver rec_trans for rotations rx_M = N.matrix(rotx(self.rx)) ry_M = N.matrix(rotx(self.ry)) rz_M = N.matrix(rotx(self.rz)) rec_trans = N.array((rx_M)*(ry_M)*(rz_M)) # applies translations to the rotation matrix to get the final transformation rec_trans[0,3] = self.dx rec_trans[1,3] = self.dy rec_trans[2,3] = self.dz # applies the transformation to the receiver object self.rec_obj.set_transform(rec_trans) # combines all objects into a single plant self.plant = Assembly(objects = [self.rec_obj], subassemblies=[self.field])
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))
class TestNestedAssemblies(unittest.TestCase):
"""
Create an assembly within an assembly, with an object, and check that
all transformation activities are handled correctly.
"""
flat_only = True
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 test_initial_transforms(self):
"""Initial consrtruction yielded correct permanent and temporary transforms"""
quarter_circle_trans = N.dot(self.eighth_circle_trans, self.eighth_circle_trans)
# Surface transforms:
N.testing.assert_array_almost_equal(self.surf._transform, N.eye(4))
N.testing.assert_array_almost_equal(self.surf._temp_frame, quarter_circle_trans)
# Object transform:
N.testing.assert_array_almost_equal(self.obj.get_transform(),
self.eighth_circle_trans)
# Subassembly transform:
N.testing.assert_array_almost_equal(self.sub_assembly.get_transform(),
self.eighth_circle_trans)
def test_retransform_object(self):
"""Changing an object's transform yield's correct resaults after retransform"""
self.obj.set_transform(N.eye(4))
self.assembly.transform_children()
# Surface transforms:
N.testing.assert_array_almost_equal(self.surf._transform, N.eye(4))
N.testing.assert_array_almost_equal(self.surf._temp_frame,
self.eighth_circle_trans)
# Object transform:
N.testing.assert_array_almost_equal(self.obj.get_transform(),
N.eye(4))
# Subassembly transform:
N.testing.assert_array_almost_equal(self.sub_assembly.get_transform(),
self.eighth_circle_trans)
def test_retransform_subassembly(self):
"""Changing an assembly's transform yield's correct resaults after retransform"""
self.sub_assembly.set_transform(N.eye(4))
self.assembly.transform_children()
# Surface transforms:
N.testing.assert_array_almost_equal(self.surf._transform, N.eye(4))
N.testing.assert_array_almost_equal(self.surf._temp_frame,
self.eighth_circle_trans)
# Object transform:
N.testing.assert_array_almost_equal(self.obj.get_transform(),
self.eighth_circle_trans)
# Subassembly transform:
N.testing.assert_array_almost_equal(self.sub_assembly.get_transform(),
N.eye(4))
def test_interface(self):
"""Can call getters on an assembly etc."""
subs = self.assembly.get_assemblies()
self.assertEqual(len(subs), 1)
self.assertTrue(subs[0] is self.sub_assembly)
class TowerScene():
""" Creates a scene of the heliostats, tower and receiver """
# recobj is an assembled receiver object
# surf_ls is a list of all surfaces used in the receiver
# crit_ls is a list of all surfaces to be viewed in a histogram
# heliostat is a csv file of coordinates (Example: sandia_hstat_coordinates.csv)
# dx,dy,dz are x,y,z offsets from the origin (default dz is 6.1 metres)
# rx,ry,rz are rotations about the x,y,z axes in radians (default 0)
def __init__(self,rec_obj,surf_ls,crit_ls,heliostat,sun_az = 0.,sun_elev = 34.9,\
dx = 0., dy = 0., dz = 6.1, rx = 0, ry = 0, rz = 0):
self.sun_az = sun_az
self.sun_elev = sun_elev
self.rec_obj = rec_obj
self.surf_ls = surf_ls
self.crit_ls = crit_ls
# add offset properties
self.dx = dx
self.dy = dy
self.dz = dz
# add rotation properties
self.rx = rx
self.ry = ry
self.rz = rz
# add the heliostat coordinates
self.pos = N.loadtxt(heliostat, delimiter=",")
self.pos *= 0.1
# generate the entire plant now
self.gen_plant()
# creates an attribute which shows number of rays used, start at zero
self.no_of_rays = 0
self.helio_hits = 0
def gen_rays(self):
sun_vec = solar_vector(self.sun_az*degree, self.sun_elev*degree)
rpos = (self.pos + sun_vec).T
direct = N.tile(-sun_vec, (self.pos.shape[0], 1)).T
rays = RayBundle(rpos, direct, energy=N.ones(self.pos.shape[0]))
return rays
def gen_plant(self):
"""Generates the entire plant"""
# set heliostat field characteristics: 0.52m*0.52m, abs = 0, aim_h =61
self.field = HeliostatField(self.pos, 6.09e-1, 6.09e-1, 0, 6.1, 1e-3)
# generates a transformation matrix of the receiver rec_trans for rotations
rx_M = N.matrix(rotx(self.rx))
ry_M = N.matrix(rotx(self.ry))
rz_M = N.matrix(rotx(self.rz))
rec_trans = N.array((rx_M)*(ry_M)*(rz_M))
# applies translations to the rotation matrix to get the final transformation
rec_trans[0,3] = self.dx
rec_trans[1,3] = self.dy
rec_trans[2,3] = self.dz
# applies the transformation to the receiver object
self.rec_obj.set_transform(rec_trans)
# combines all objects into a single plant
self.plant = Assembly(objects = [self.rec_obj], subassemblies=[self.field])
def aim_field(self):
"""Aims the field to the sun?"""
self.field.aim_to_sun(self.sun_az*degree, self.sun_elev*degree)
def trace(self, rph, iters = 10000, minE = 1e-9, render = False):
"""Commences raytracing using (rph) number of rays per heliostat, for a maximum of
(iters) iterations, discarding rays with energy less than (minE). If render is
True, a 3D scene will be displayed which would need to be closed to proceed."""
# Get the solar vector using azimuth and elevation
sun_vec = solar_vector(self.sun_az*degree, self.sun_elev*degree)
# Calculate number of rays used. Rays per heliostat * number of heliostats.
num_rays = rph*len(self.field.get_heliostats())
self.no_of_rays += num_rays
# Generates the ray bundle
rot_sun = rotation_to_z(-sun_vec)
direct = N.dot(rot_sun, pillbox_sunshape_directions(num_rays, 0.00465))
xy = N.random.uniform(low=-0.25, high=0.25, size=(2, num_rays))
base_pos = N.tile(self.pos, (rph, 1)).T #Check if its is rph or num_rays
base_pos += N.dot(rot_sun[:,:2], xy)
base_pos -= direct
rays = RayBundle(base_pos, direct, energy=N.ones(num_rays))
# Perform the raytracing
e = TracerEngine(self.plant)
e.ray_tracer(rays, iters, minE, tree=True)
e.minener = minE
rays_in = sum(e.tree._bunds[0].get_energy())
self.helio_hits = sum(e.tree._bunds[1].get_energy())
# Optional rendering
if render == True:
trace_scene = Renderer(e)
trace_scene.show_rays()
def hist_comb(self, no_of_bins=100):
"""Returns a combined histogram of all critical surfaces and relevant data"""
# H is the histogram array
# boundlist is a list of plate boundaries given in x coordinates
# extent is a list of [xmin,xmax,ymin,ymax] values
# binarea is the area of each bin. Used to estimate flux concentration
# Define empty elements
X_offset = 0 # Used to shift values to the right for each subsequent surface
all_X = [] # List of all x-coordinates
all_Y = [] # List of all y-coordinates
all_E = [] # List of all energy values
boundlist = [0] # List of plate boundaries, starts with x=0
#print("length here"+str(len((self.plant.get_local_objects()[0]).get_surfaces())))
#for plate in self.crit_ls: #For each surface within the list of critical surfs
crit_length = len(self.crit_ls)
count = 0
while count < crit_length: # count is one less than crit_length for indexing convention
surface = (self.plant.get_local_objects()[0]).get_surfaces()[count]
# returns all coordinates where a hit occured and its energy absorbed
energy, pts = surface.get_optics_manager().get_all_hits()
corners = surface.mesh(1) #corners is an array of all corners of the plate
# BLC is bottom left corner "origin" of the histogram plot
# BRC is the bottom right corner "x-axis" used for vector u
# TLC is the top right corner "y-axis" used for vector v
BLC = N.array([corners[0][1][1],corners[1][1][1],corners[2][1][1]])
BRC = N.array([corners[0][0][1],corners[1][0][1],corners[2][0][1]])
TLC = N.array([corners[0][1][0],corners[1][1][0],corners[2][1][0]])
# Get vectors u and v in array form of array([x,y,z])
u = BRC - BLC
v = TLC - BLC
# Get width(magnitude of u) and height(magnitude of v) in float form
w = (sum(u**2))**0.5
h = (sum(v**2))**0.5
# Get unit vectors of u and v in form of array([x,y,z])
u_hat = u/w
v_hat = v/h
# Local x-position determined using dot product of each point with direction
# Returns a list of local x and y coordinates
origin = N.array([[BLC[0]],[BLC[1]],[BLC[2]]])
local_X = list((N.array(N.matrix(u_hat)*N.matrix(pts-origin))+X_offset)[0])
#local_Y = list((N.array(N.matrix(v_hat)*N.matrix(pts-origin)))[0])
local_Y = list((((N.array(N.matrix(v_hat)*N.matrix(pts-origin)))[0])*-1)+h)
# Adds to the lists
all_X += local_X
all_Y += local_Y
all_E += list(energy)
X_offset += w
boundlist.append(X_offset)
count += 1
# Now time to build a histogram
rngy = h
rngx = X_offset
bins = [no_of_bins,int(no_of_bins*X_offset)]
H,ybins,xbins = N.histogram2d(all_Y,all_X,bins,range=([0,rngy],[0,rngx]), weights=all_E)
extent = [xbins[0],xbins[-1],ybins[0],ybins[-1]]
binarea = (float(h)/no_of_bins)*(float(X_offset)/int(no_of_bins*X_offset))
return H, boundlist, extent, binarea
def energies(self):
"""Returns the total number of hits on the heliostats, receiver and the total energy absorbed"""
totalenergy = 0.0
totalhits = 0
heliohits = self.helio_hits
#length = 0
#for surface in self.plant.get_local_objects()[0].get_surfaces():
for surface in (self.plant.get_local_objects()[0]).get_surfaces():
energy, pts = surface.get_optics_manager().get_all_hits()
absorp = surface._opt._opt._abs
#length += len(energy)
#plt.plot(range(0,len(energy)),energy,'ro')
#plt.show()
totalenergy += sum(energy)
totalhits += sum(energy == absorp)
#print("Length is"+str(length))
return totalenergy, totalhits, heliohits
