class ExampleScene(TracerScene):
source_y = t_api.Range(0., 5., 2.)
source_z = t_api.Range(0., 5., 1.)
def __init__(self):
# The energy bundle we'll use for now:
nrm = 1/(N.sqrt(2))
direct = N.c_[[0,-nrm, nrm],[0,0,-1]]
position = N.tile(N.c_[[0, self.source_y, self.source_z]], (1, 2))
self.bund = RayBundle(vertices=position, directions=direct, energy=N.r_[1, 1])
# The assembly for ray tracing:
rot1 = N.dot(G.rotx(N.pi/4)[:3,:3], G.roty(N.pi)[:3,:3])
surf1 = rect_one_sided_mirror(width=10, height=10)
surf1.set_rotation(rot1)
surf2 = rect_one_sided_mirror(width=10, height=10)
self.assembly = Assembly(objects=[surf1, surf2])
TracerScene.__init__(self, self.assembly, self.bund)
@t_api.on_trait_change('_scene.activated')
def initialize_camere(self):
self._scene.mlab.view(0, -90)
self._scene.mlab.roll(0)
@t_api.on_trait_change('source_y, source_z')
def bundle_move(self):
position = N.tile(N.c_[[0, self.source_y, self.source_z]], (1, 2))
self.bund.set_vertices(position)
self.plot_ray_trace()
view = tui.View(
tui.Item('_scene', editor=SceneEditor(scene_class=MayaviScene),
height=400, width=300, show_label=False),
tui.HGroup('-', 'source_y', 'source_z'))
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 TestTraceProtocol2(unittest.TestCase):
"""
Tests intersect_ray with a flat surface rotated around the x axis 45 degrees
"""
def setUp(self):
ns = -1 / N.sqrt(2)
dir = N.c_[[0, 0, 1], [0, 0, -1], [0, ns, ns]]
position = N.c_[[0, 0, 1], [0, 1, 2], [0, 0, 1]]
self._bund = RayBundle(position, dir, energy=N.ones(3))
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):
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 test_up_down(self):
"""Rays coming from below are absorbed, from above reflected"""
going_down = N.c_[[1, 1, -1], [-1, 1, -1], [-1, -1, -1], [1, -1, -1]] / N.sqrt(3)
going_up = going_down.copy()
going_up[2] = 1 / N.sqrt(3)
pos_up = N.c_[[0,0,1], [1,-1,1], [1,1,1], [-1,1,1]]
pos_down = pos_up.copy()
pos_down[2] = -1
bund = RayBundle()
bund.set_directions(N.hstack((going_down, going_up)))
bund.set_vertices(N.hstack((pos_up, pos_down)))
bund.set_energy(N.tile(100, 8))
bund.set_ref_index(N.tile(1, 8))
gm = FlatGeometryManager()
prm = gm.find_intersections(N.eye(4), bund)
absref = optics_callables.AbsorberReflector(0.)
selector = N.arange(8)
gm.select_rays(selector)
outg = absref(gm, bund, selector)
e = outg.get_energy()
N.testing.assert_array_equal(e[:4], 100)
N.testing.assert_array_equal(e[4:], 0)
class TestTraceProtocol5(unittest.TestCase):
"""
Tests a spherical surface
"""
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 test_ray_tracer1(self):
params = self.engine.ray_tracer(self._bund, 1, .05)[0]
correct_params = N.c_[[0, -1, 0], [0, 1, 0], [0, 1, 0]]
N.testing.assert_array_almost_equal(params, correct_params, decimal=3)
def regular_square_bundle(num_rays, center, direction, width): """ Generate a ray bundles whose rays are equally spaced along a square grid, and all pointing in the same direction. Arguments: num_rays - number of rays to generate. center - a column 3-array with the 3D coordinate of the disk's center direction - a 1D 3-array with the unit direction vector for the bundle. width - of the square of starting points. Returns: A RayBundle object with the above charachteristics set. """ rot = rotation_to_z(direction) directions = N.tile(direction[:,None], (1, num_rays)) range = N.s_[-width:width:float(2*width)/N.sqrt(num_rays)] xs, ys = N.mgrid[range, range] vertices_local = N.array([xs.flatten(), ys.flatten(), N.zeros(len(xs.flatten()))]) vertices_global = N.dot(rot, vertices_local) rayb = RayBundle() rayb.set_vertices(vertices_global + center) rayb.set_directions(directions) return rayb
def edge_rays_bundle(num_rays,
center,
direction,
radius,
ang_range,
flux=None,
radius_in=0.):
radius = float(radius)
radius_in = float(radius_in)
a = edge_rays_directions(num_rays, ang_range)
# Rotate to a frame in which <direction> is Z:
perp_rot = rotation_to_z(direction)
directions = N.sum(perp_rot[..., None] * a[None, ...], axis=1)
# Locations:
# See [1]
xi1 = random.uniform(size=num_rays)
thetas = random.uniform(high=2. * N.pi, size=num_rays)
rs = N.sqrt(radius_in**2. + xi1 * (radius**2. - radius_in**2.))
xs = rs * N.cos(thetas)
ys = rs * N.sin(thetas)
# Rotate locations to the plane defined by <direction>:
vertices_local = N.vstack((xs, ys, N.zeros(num_rays)))
vertices_global = N.dot(perp_rot, vertices_local)
rayb = RayBundle(vertices=vertices_global + center, directions=directions)
if flux != None:
rayb.set_energy(N.pi * (radius**2. - radius_in**2.) / num_rays * flux *
N.ones(num_rays))
return rayb
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 TestTraceProtocol2(unittest.TestCase):
"""
Tests intersect_ray with a flat surface rotated around the x axis 45 degrees
"""
def setUp(self):
ns = -1/N.sqrt(2)
dir = N.c_[[0,0,1],[0,0,-1],[0,ns,ns]]
position = N.c_[[0,0,1],[0,1,2],[0,0,1]]
self._bund = RayBundle(position, dir, energy=N.ones(3))
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 edge_rays_bundle(num_rays, center, direction, radius, ang_range, flux=None, radius_in=0.): radius = float(radius) radius_in = float(radius_in) a = edge_rays_directions(num_rays, ang_range) # Rotate to a frame in which <direction> is Z: perp_rot = rotation_to_z(direction) directions = N.sum(perp_rot[...,None] * a[None,...], axis=1) # Locations: # See [1] xi1 = random.uniform(size=num_rays) thetas = random.uniform(high=2.*N.pi, size=num_rays) rs = N.sqrt(radius_in**2.+xi1*(radius**2.-radius_in**2.)) xs = rs * N.cos(thetas) ys = rs * N.sin(thetas) # Rotate locations to the plane defined by <direction>: vertices_local = N.vstack((xs, ys, N.zeros(num_rays))) vertices_global = N.dot(perp_rot, vertices_local) rayb = RayBundle(vertices=vertices_global + center, directions=directions) if flux != None: rayb.set_energy(N.pi*(radius**2.-radius_in**2.)/num_rays*flux*N.ones(num_rays)) return rayb
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)
# The boundary is positioned to create a bottom hemisphere.
boundary = BoundarySphere(radius=4., location=N.r_[0., 0., -4*N.sqrt(3)/2.])
self.gm = CutSphereGM(2., boundary)
self.prm = self.gm.find_intersections(N.eye(4), self._bund)
def test_find_intersections(self):
"""The correct parametric locations are found for cut sphere 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):
"""Cut sphere 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):
"""Cut sphere 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))
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 rect_ray_bundle(num_rays,
center,
direction,
x,
y,
sunshape,
ang_rang,
flux=None,
BUIE=None):
'''
generate a rectancular ray bundle for different sunshape options
Arguments:
num_rays - number of rays to generate
center - a column 3-array with the 3D coordinate of the ray bundle's center
direction - a 1D 3-array with the unit average direction vector for the bundle.
x - width of the rectangular ray bundle
y - height of the rectangular ray bundle
sunshape - str, 'pillbox', 'Gaussian','Buie' or 'collimated'
ang_rang - the angular width of the solar disk (pillbox), sigma (gaussian) or CSR (Buie sunshape)
flux - if not None, the ray bundle's energy is set such that each ray has
an equal amount of energy, and the total energy is flux*pi*radius**2
Returns:
A RayBundle object with the above characteristics set.
'''
if sunshape == 'pillbox':
a = pillbox_sunshape_directions(num_rays, ang_rang)
elif sunshape == 'gaussian':
a = gaussian_sunshape_directions(num_rays, ang_rang)
elif sunshape == 'buie':
a = buie_sunshape_directions(num_rays, BUIE.sample, BUIE.FI)
elif sunshape == 'collimated':
a = collimated_directions(num_rays)
# making sure the rect bundle can cover the whole region of interest
x *= 1.2
y *= 1.2
# Rotate to a frame in which <direction> is Z:
perp_rot = rotation_to_z(direction)
directions = N.sum(perp_rot[..., None] * a[None, ...], axis=1)
# Locations:
# See [1]
xs = N.random.uniform(low=-x / 2., high=x / 2., size=num_rays)
ys = N.random.uniform(low=-y / 2., high=y / 2., size=num_rays)
# Rotate locations to the plane defined by <direction>:
vertices_local = N.vstack((xs, ys, N.zeros(num_rays)))
vertices_global = N.dot(perp_rot, vertices_local)
rayb = RayBundle(vertices=vertices_global + center, directions=directions)
if flux != None:
rayb.set_energy(x * y / num_rays * flux * N.ones(num_rays))
return rayb
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 triangular_bundle(num_rays,
A,
AB,
AC,
direction,
ang_range=N.pi / 2.,
flux=None,
procs=1):
"""
Triangular ray-casting surface anchored on the point A.
Arguments:
- num_rays: the number of rays
- A: The first summit of the triangle and its anchor point.
- AB and AC the vertices of the sides of the triangle in its plane of reference.
- direction: The direction at which the source is pointing
- ang_range: the angular range of the rays emitted by the source
Returns:
- A ray bundle object for tracing
"""
# Triangle ray vertices:
# Declare random numbers:
r1 = N.vstack(N.random.uniform(size=num_rays))
r2 = N.vstack(N.random.uniform(size=num_rays))
# Define points in a local referential where A is at [0,0] on a z=0 plane.
sqrtr1 = N.sqrt(r1)
Plocs = sqrtr1 * (1. -
r2) * AB + r2 * sqrtr1 * AC # Triangle point picking
vertices_local = N.array([Plocs[:, 0], Plocs[:, 1], N.zeros(num_rays)])
# Bring everything back to the global referential:
rot = rotation_to_z(direction)
vertices_global = N.dot(rot, vertices_local) + N.vstack(A)
# Local referential directions:
a = pillbox_sunshape_directions(num_rays, ang_range)
# Rotate to a frame in which <direction> is Z:
directions = N.sum(rot[..., None] * a[None, ...], axis=1)
rayb = RayBundle()
rayb.set_vertices(vertices_global)
rayb.set_directions(directions)
l1 = N.sqrt(N.sum(AB**2))
l2 = N.sqrt(N.sum(AC**2))
l3 = N.sqrt(N.sum((-AB + AC)**2))
s = (l1 + l2 + l3) / 2.
area = N.sqrt(s * (s - l1) * (s - l2) * (s - l3))
if flux != None:
rayb.set_energy(N.ones(num_rays) * flux * area / float(num_rays))
else:
rayb.set_energy(N.ones(num_rays) / float(num_rays) / procs)
return rayb
def setUp(self):
dir = N.c_[[0., 0, -1], [0, 1, -1], [0, 11, -2], [0, 1, 0]]
dir /= N.sqrt(N.sum(dir**2, axis=0))
position = N.c_[[0., 0, 1], [0, -1, 1], [0, -11, 2], [0, 1, 1]]
bund = RayBundle()
bund.set_vertices(position)
bund.set_directions(dir)
self.bund = bund
self.correct = N.r_[1., N.sqrt(2), N.sqrt(11**2 + 4)]
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_up_down(self):
"""Rays coming from below are absorbed, from above reflected"""
going_down = N.c_[[1, 1, -1], [-1, 1, -1], [-1, -1, -1], [1, -1, -1]] / N.sqrt(3)
going_up = going_down.copy()
going_up[2] = 1 / N.sqrt(3)
pos_up = N.c_[[0,0,1], [1,-1,1], [1,1,1], [-1,1,1]]
pos_down = pos_up.copy()
pos_down[2] = -1
bund = RayBundle()
bund.set_directions(N.hstack((going_down, going_up)))
bund.set_vertices(N.hstack((pos_up, pos_down)))
bund.set_energy(N.tile(100, 8))
bund.set_ref_index(N.tile(1, 8))
gm = FlatGeometryManager()
prm = gm.find_intersections(N.eye(4), bund)
absref = optics_callables.AbsorberReflector(0.)
selector = N.arange(8)
gm.select_rays(selector)
outg = absref(gm, bund, selector)
e = outg.get_energy()
N.testing.assert_array_equal(e[:4], 100)
N.testing.assert_array_equal(e[4:], 0)
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.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()
self._bund.set_vertices(position)
self._bund.set_directions(dir)
self.gm = Paraboloid(a=5., b=5.)
self.prm = self.gm.find_intersections(N.eye(4), self._bund)
def pillbox_rect_bundle(num_rays,
center,
direction,
x,
y,
ang_rang,
flux=None):
'''
generate a rectancular ray bundle for pillbox sunshape
Arguments:
num_rays - number of rays to generate
center - a column 3-array with the 3D coordinate of the ray bundle's center
direction - a 1D 3-array with the unit average direction vector for the bundle.
x - width of the rectangular ray bundle
y - height of the rectangular ray bundle
ang_rang - the angular width of the solar disk
flux - if not None, the ray bundle's energy is set such that each ray has
an equal amount of energy, and the total energy is flux*pi*radius**2
Returns:
A RayBundle object with the above characteristics set.
'''
a = pillbox_sunshape_directions(num_rays, ang_rang)
x *= 1.2
y *= 1.2
# Rotate to a frame in which <direction> is Z:
perp_rot = rotation_to_z(direction)
directions = N.sum(perp_rot[..., None] * a[None, ...], axis=1)
# Locations:
# See [1]
xs = N.random.uniform(low=-x / 2., high=x / 2., size=num_rays)
ys = N.random.uniform(low=-y / 2., high=y / 2., size=num_rays)
#if (direction == N.array([0,0,-1])).all():
# xs, ys = ys, xs
# Rotate locations to the plane defined by <direction>:
vertices_local = N.vstack((xs, ys, N.zeros(num_rays)))
vertices_global = N.dot(perp_rot, vertices_local)
#dirct=N.vstack((-N.ones(num_rays)*direction[0],-N.ones(num_rays)*direction[1],-N.ones(num_rays)*direction[2]))
#vertices_global=vertices_local+dirct*100.
rayb = RayBundle(vertices=vertices_global + center, directions=directions)
if flux != None:
rayb.set_energy(x * y / num_rays * flux * N.ones(num_rays))
return rayb
def pillbox_effective_rays(num_rays, X, Y, Z, hits, direction, A_source,
ang_rang, DNI):
'''
Generate a ray bundle according to Buie et al.: "Sunshape distributions for terrestrial simulations." Solar Energy 74 (2003) 113-122 (DOI: 10.1016/S0038-092X(03)00125-7).
*the ray source just cover each individule mirror
Arguments:
num_rays - number of rays over one heliostat, therefore total num of rays is num_rays*num_helios
direction - (1,3)direction of the normal to the source disc.
vertices - (3,n) array vertices of each ray
energy - float - energy of each ray , W
DNI - Direct normal irradiantion W/m2
Returns:
A raybundle object with the above characteristics set.
'''
total_rays = num_rays * N.sum(hits)
a = pillbox_sunshape_directions(total_rays, ang_rang)
# Rotate to a frame in which <direction> is Z:
perp_rot = rotation_to_z(direction)
directions = N.sum(perp_rot[..., None] * a[None, ...], axis=1)
Xs = N.array([])
Ys = N.array([])
Zs = N.array([])
#X,Y=N.meshgrid(X,Y)
for i in xrange(len(hits)):
for j in xrange(len(hits[i])):
if hits[i, j] == 1:
xs = N.random.uniform(low=X[i], high=X[i + 1], size=num_rays)
ys = N.random.uniform(low=Y[j], high=Y[j + 1], size=num_rays)
zs = Z * N.ones(num_rays)
Xs = N.append(Xs, xs)
Ys = N.append(Ys, ys)
Zs = N.append(Zs, zs)
vertices = N.vstack((Xs, Ys, Zs))
energy = N.ones(total_rays) * DNI * A_source / float(total_rays)
rayb = RayBundle(vertices=vertices, directions=directions)
if DNI != None:
rayb.set_energy(energy)
print total_rays
return rayb
def setUp(self):
self.mirror = rect_one_sided_mirror(1.5, 1.5, 0.9)
pos = N.zeros((3, 8))
pos[0] = N.tile(N.r_[0, 0.5, 2, -2], 2)
pos[2] = N.repeat(N.r_[1, -1], 4)
dir = N.zeros((3, 8))
dir[2] = N.repeat(N.r_[-1, 1], 4)
self.bund = RayBundle()
self.bund.set_vertices(pos)
self.bund.set_directions(dir)
self.bund.set_energy(N.ones(8) * 1000)
self.bund.set_ref_index(N.ones(8))
class TestHomogenizer(unittest.TestCase):
def setUp(self):
"""A homogenizer transforms a bundle correctly"""
hmg = rect_homogenizer(5., 3., 10., 0.9)
self.engine = TracerEngine(hmg)
self.bund = RayBundle()
# 4 rays starting somewhat above (+z) the homogenizer
pos = N.zeros((3, 4))
pos[2] = N.r_[11, 11, 11, 11]
self.bund.set_vertices(pos)
# One ray going to each wall:
dir = N.c_[[1, 0, -1], [-1, 0, -1], [0, 1, -1],
[0, -1, -1]] / N.sqrt(2)
self.bund.set_directions(dir)
# Laborious setup details:
self.bund.set_energy(N.ones(4) * 4.)
self.bund.set_ref_index(N.ones(4))
def test_first_hits(self):
"""Test bundle enters homogenizer correctly"""
v, d = self.engine.ray_tracer(self.bund, 1, 0.05)
out_dirs = N.c_[[-1, 0, -1], [1, 0, -1], [0, -1, -1],
[0, 1, -1]] / N.sqrt(2)
N.testing.assert_array_almost_equal(d, out_dirs)
out_hits = N.c_[[2.5, 0, 8.5], [-2.5, 0, 8.5], [0, 1.5, 9.5],
[0, -1.5, 9.5]]
N.testing.assert_array_almost_equal(v, out_hits)
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)
# The boundary is positioned to create a bottom hemisphere.
boundary = BoundarySphere(radius=4.,
location=N.r_[0., 0., -4 * N.sqrt(3) / 2.])
self.gm = CutSphereGM(2., boundary)
self.prm = self.gm.find_intersections(N.eye(4), self._bund)
def solar_disk_bundle(num_rays, center, direction, radius, ang_range, flux=None, radius_in=0., angular_span=[0.,2.*N.pi], procs=1):
"""
Generates a ray bundle emanating from a disk, with each surface element of
the disk having the same ray density. The rays all point at directions uniformly
distributed between a given angle range from a given direction.
Setting of the bundle's energy is left to the caller.
Arguments:
num_rays - number of rays to generate.
center - a column 3-array with the 3D coordinate of the disk's center
direction - a 1D 3-array with the unit average direction vector for the
bundle.
radius - of the disk.
ang_range - in radians, the maximum deviation from <direction>.
flux - if not None, the ray bundle's energy is set such that each ray has
an equal amount of energy, and the total energy is flux*pi*radius**2
radius_in - Inner radius if the disc is pierced
angular_span - wedge of the disc to consider
Returns:
A RayBundle object with the above characteristics set.
"""
# FIXME why should 'center' be a column vector... that's just annoying.
radius = float(radius)
radius_in = float(radius_in)
a = pillbox_sunshape_directions(num_rays, ang_range)
# Rotate to a frame in which <direction> is Z:
perp_rot = rotation_to_z(direction)
directions = N.sum(perp_rot[...,None] * a[None,...], axis=1)
# Locations:
# See [1]
xi1 = random.uniform(size=num_rays)
thetas = random.uniform(low=angular_span[0], high=angular_span[1], size=num_rays)
rs = N.sqrt(radius_in**2.+xi1*(radius**2.-radius_in**2.))
xs = rs * N.cos(thetas)
ys = rs * N.sin(thetas)
# Rotate locations to the plane defined by <direction>:
vertices_local = N.vstack((xs, ys, N.zeros(num_rays)))
vertices_global = N.dot(perp_rot, vertices_local)
rayb = RayBundle(vertices=vertices_global + center, directions=directions)
if flux != None:
rayb.set_energy(N.pi*(radius**2.-radius_in**2.)/num_rays*flux*N.ones(num_rays))
else:
rayb.set_energy(N.ones(num_rays)/num_rays/procs)
return rayb
class TestHomogenizer(unittest.TestCase):
def setUp(self):
"""A homogenizer transforms a bundle correctly"""
hmg = rect_homogenizer(5., 3., 10., 0.9)
self.engine = TracerEngine(hmg)
self.bund = RayBundle()
# 4 rays starting somewhat above (+z) the homogenizer
pos = N.zeros((3,4))
pos[2] = N.r_[11, 11, 11, 11]
self.bund.set_vertices(pos)
# One ray going to each wall:
dir = N.c_[[1, 0, -1], [-1, 0, -1], [0, 1, -1], [0, -1, -1]]/N.sqrt(2)
self.bund.set_directions(dir)
# Laborious setup details:
self.bund.set_energy(N.ones(4)*4.)
self.bund.set_ref_index(N.ones(4))
def test_first_hits(self):
"""Test bundle enters homogenizer correctly"""
v, d = self.engine.ray_tracer(self.bund, 1, 0.05)
out_dirs = N.c_[[-1, 0, -1], [1, 0, -1], [0, -1, -1], [0, 1, -1]]/N.sqrt(2)
N.testing.assert_array_almost_equal(d, out_dirs)
out_hits = N.c_[
[2.5, 0, 8.5],
[-2.5, 0, 8.5],
[0, 1.5, 9.5],
[0, -1.5, 9.5]]
N.testing.assert_array_almost_equal(v, out_hits)
class TestTraceProtocol6(unittest.TestCase):
"""
Tests a spherical surface
"""
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 test_ray_tracers1(self):
params = self.engine.ray_tracer(self._bund, 1, .05)[0]
correct_params = N.c_[[0,2,0]]
N.testing.assert_array_almost_equal(params,correct_params)
def test_paraxial_ray(self):
"""A paraxial ray in reflected correctly"""
bund = RayBundle()
bund.set_vertices(N.c_[[0.01, 0., 2.]])
bund.set_directions(N.c_[[0., 0., -1.]])
bund.set_energy(N.r_[100.])
bund.set_ref_index(N.r_[1])
self.engine.ray_tracer(bund, 15, 10.)
non_degenerate = self.engine.tree[-1].get_energy() > 10
v = self.engine.tree[-1].get_vertices()[:, non_degenerate]
d = self.engine.tree[-1].get_directions()[:, non_degenerate]
# Not high equality demanded, because of spherical aberration.
N.testing.assert_array_almost_equal(v, N.c_[[-0.01, 0., 1.5]], 2)
N.testing.assert_array_almost_equal(d, N.c_[[0., 0., 1.]], 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 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_all_refracted(self):
dir = N.c_[[1, 1, -1], [-1, 1, -1], [-1, -1, -1], [1, -1, -1]] / N.sqrt(3)
position = N.c_[[0,0,1], [1,-1,1], [1,1,1], [-1,1,1]]
en = N.r_[100, 200, 300, 400]
bund = RayBundle(position, dir, energy=en, ref_index=N.ones(4))
gm = FlatGeometryManager()
prm = gm.find_intersections(N.eye(4), bund)
refractive = optics_callables.RefractiveHomogenous(1,1.5)
selector = N.array([0, 1, 3])
gm.select_rays(selector)
outg = refractive(gm, bund, selector)
correct_pts = N.zeros((3,4))
correct_pts[:2,0] = 1
correct_pts = N.hstack((correct_pts[:,selector], correct_pts[:,selector]))
N.testing.assert_array_equal(outg.get_vertices(), correct_pts)
norm = N.c_[gm.get_normals()[:,0]]
correct_refl_cos = -(dir*norm).sum(axis=0)[selector]
correct_refr_cos = -N.sqrt(1 - (1./1.5)**2*(1 - correct_refl_cos**2))
outg_cos = (outg.get_directions()*norm).sum(axis=0)
N.testing.assert_array_equal(outg_cos, N.r_[correct_refl_cos, correct_refr_cos])
N.testing.assert_array_equal(outg.get_energy().reshape(2,-1).sum(axis=0), \
N.r_[100, 200, 400]) # reflection and refraction sum to 100%
N.testing.assert_array_equal(outg.get_parents(), N.tile(selector, 2))
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._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_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])
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 trace(self):
"""Generate a flux map using much more rays than drawn"""
# Generate a large ray bundle using a radial stagger much denser
# than the field.
sun_vec = solar_vector(self.sun_az * degree, self.sun_elev * degree)
hstat_rays = 20
num_rays = hstat_rays * len(self.field.get_heliostats())
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, (hstat_rays, 1)).T
base_pos += N.dot(rot_sun[:, :2], xy)
base_pos -= direct
rays = RayBundle(base_pos, direct, energy=N.ones(num_rays))
# Perform the trace:
e = TracerEngine(self.plant)
e.ray_tracer(rays, 100, 0.05, tree=True)
e.minener = 1e-5
# Render:
trace_scene = Renderer(e)
trace_scene.show_rays()
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_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 rect_buie_sunshape(num_rays,
center,
direction,
width,
height,
CSR,
flux=None,
pre_process_CSR=True,
rays_direction=None):
'''
Generate a ray bundle according to Buie et al.: "Sunshape distributions for terrestrial simulations." Solar Energy 74 (2003) 113-122 (DOI: 10.1016/S0038-092X(03)00125-7).
Arguments:
num_rays - number of rays in the bundle
center - position of the source center
direction - direction of the normal to the source disc.
radius - radius of the source disc
CSR - Circumsolar ratio, fraction of the incoming solar energy which incident angle is greater than the angle subtended by the solar disc.
flux - horizontal radiation density in W/m2
pre_process_CSR=True - Use or not the polynomial pre-processing to get better I/O match using the Buie sunshape
rays_direction=None - If the general direction of propagation of the source is different from the source normal.
Returns:
A raybundle object with the above characteristics set.
'''
# Rays vertices (start positions):
xs = width * (random.uniform(size=num_rays) - 0.5)
ys = height * (random.uniform(size=num_rays) - 0.5)
# Source surface area:
S = width * height
# Rays escaping direction setup:
if rays_direction == None:
rays_direction = direction
# Uniform ray energy:
cosangle = 2. * N.sin(N.sqrt(N.sum((rays_direction - direction)**2)) / 2.)
energy = N.ones(num_rays) * flux * S / num_rays * N.cos(cosangle)
# Buie sunshape directions:
a = buie_distribution(num_rays, CSR, pre_process_CSR)
# Rotate to a frame in which <rays_direction> is Z:
perp_rot = rotation_to_z(rays_direction)
directions = N.sum(perp_rot[..., None] * a[None, ...], axis=1)
# Rotate to a frame in which <direction> is Z:
perp_rot = rotation_to_z(direction)
# Rotate locations to the plane defined by <direction>:
vertices_local = N.vstack((xs, ys, N.zeros(num_rays)))
vertices_global = N.dot(perp_rot, vertices_local)
rayb = RayBundle(vertices=vertices_global + center,
directions=directions,
energy=energy)
return rayb
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):
# 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 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_paraxial_ray(self):
"""A paraxial ray in reflected correctly"""
bund = RayBundle()
bund.set_vertices(N.c_[[0.01, 0., 2.]])
bund.set_directions(N.c_[[0., 0., -1.]])
bund.set_energy(N.r_[100.])
bund.set_ref_index(N.r_[1])
self.engine.ray_tracer(bund, 15, 10.)
non_degenerate = self.engine.tree[-1].get_energy() > 10
v = self.engine.tree[-1].get_vertices()[:,non_degenerate]
d = self.engine.tree[-1].get_directions()[:,non_degenerate]
# Not high equality demanded, because of spherical aberration.
N.testing.assert_array_almost_equal(v, N.c_[[-0.01, 0., 1.5]], 2)
N.testing.assert_array_almost_equal(d, N.c_[[0., 0., 1.]], 2)
def triangular_bundle(num_rays, A, AB, AC, direction, ang_range=N.pi/2., flux=None, procs=1): """ Triangular ray-casting surface anchored on the point A. Arguments: - num_rays: the number of rays - A: The first summit of the triangle and its anchor point. - AB and AC the vertices of the sides of the triangle in its plane of reference. - direction: The direction at which the source is pointing - ang_range: the angular range of the rays emitted by the source Returns: - A ray bundle object for tracing """ # Triangle ray vertices: # Declare random numbers: r1 = N.vstack(N.random.uniform(size=num_rays)) r2 = N.vstack(N.random.uniform(size=num_rays)) # Define points in a local referential where A is at [0,0] on a z=0 plane. sqrtr1 = N.sqrt(r1) Plocs = sqrtr1*(1.-r2)*AB+r2*sqrtr1*AC # Triangle point picking vertices_local = N.array([Plocs[:,0], Plocs[:,1], N.zeros(num_rays)]) # Bring everything back to the global referential: rot = rotation_to_z(direction) vertices_global = N.dot(rot, vertices_local)+N.vstack(A) # Local referential directions: a = pillbox_sunshape_directions(num_rays, ang_range) # Rotate to a frame in which <direction> is Z: directions = N.sum(rot[...,None] * a[None,...], axis=1) rayb = RayBundle() rayb.set_vertices(vertices_global) rayb.set_directions(directions) l1 = N.sqrt(N.sum(AB**2)) l2 = N.sqrt(N.sum(AC**2)) l3 = N.sqrt(N.sum((-AB+AC)**2)) s = (l1+l2+l3)/2. area = N.sqrt(s*(s-l1)*(s-l2)*(s-l3)) if flux != None: rayb.set_energy(N.ones(num_rays)*flux*area/float(num_rays)) else: rayb.set_energy(N.ones(num_rays)/float(num_rays)/procs) return rayb
def single_ray_source(position, direction, flux=None): ''' Establishes a single ray source originating from a definned point on a defined exact direction for the purpose of testing single ray behviours. Arguments: position - column 3-array with the ray's starting position. direction - a 1D 3-array with the unit average direction vector for the bundle. flux - if not None, the energy transported by the ray. Returns: A Raybundle object with the corresponding characteristics. ''' directions = N.tile(direction[:,None],1) directions /= N.sqrt(N.sum(directions**2, axis=0)) singray = RayBundle(vertices = position, directions = directions) singray.set_energy(flux*N.ones(1)) return singray
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)
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):
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):
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()
self._bund.set_vertices(position)
self._bund.set_directions(dir)
self.gm = Paraboloid(a=5., b=5.)
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)
# The boundary is positioned to create a bottom hemisphere.
boundary = BoundarySphere(radius=4., location=N.r_[0., 0., -4*N.sqrt(3)/2.])
self.gm = CutSphereGM(2., boundary)
self.prm = self.gm.find_intersections(N.eye(4), self._bund)
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()
self._bund.set_vertices(position)
self._bund.set_directions(dir)
self.gm = Paraboloid(a=5., b=5.)
self.prm = self.gm.find_intersections(N.eye(4), self._bund)
def test_find_intersections(self):
"""The correct parametric locations are found for paraboloid geometry"""
self.failUnlessEqual(self.prm.shape, (self.num_rays,))
N.testing.assert_array_almost_equal(self.prm, 0.96)
def test_get_normals(self):
"""Paraboloid surface returns center-pointing normals"""
self.gm.select_rays(N.arange(self.num_rays))
n = self.gm.get_normals() # all rays selected
N.testing.assert_array_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):
"""Paraboloid 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], 0.04)
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 solar_rect_bundle(num_rays, center, direction, x, y, ang_range, flux=None):
a = pillbox_sunshape_directions(num_rays, ang_range)
# Rotate to a frame in which <direction> is Z:
perp_rot = rotation_to_z(direction)
directions = N.sum(perp_rot[...,None] * a[None,...], axis=1)
xs = random.uniform(low=-x/2., high=x/2., size=num_rays)
ys = random.uniform(low=-y/2., high=y/2., size=num_rays)
if (direction == N.array([0,0,-1])).all():
xs, ys = ys, xs
# Rotate locations to the plane defined by <direction>:
vertices_local = N.vstack((ys, xs, N.zeros(num_rays)))
vertices_global = N.dot(perp_rot, vertices_local)
rayb = RayBundle(vertices=vertices_global + center, directions=directions)
if flux != None:
rayb.set_energy(x*y/num_rays*flux*N.ones(num_rays))
return rayb
def setUp(self):
self.mirror = rect_one_sided_mirror(1.5, 1.5, 0.9)
pos = N.zeros((3,8))
pos[0] = N.tile(N.r_[0, 0.5, 2, -2], 2)
pos[2] = N.repeat(N.r_[1, -1], 4)
dir = N.zeros((3,8))
dir[2] = N.repeat(N.r_[-1, 1], 4)
self.bund = RayBundle()
self.bund.set_vertices(pos)
self.bund.set_directions(dir)
self.bund.set_energy(N.ones(8)*1000)
self.bund.set_ref_index(N.ones(8))
class TestTraceProtocol5(unittest.TestCase):
"""
Tests a spherical surface
"""
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 test_ray_tracer1(self):
params = self.engine.ray_tracer(self._bund, 1, .05)[0]
correct_params = N.c_[[0,-1,0],[0,1,0],[0,1,0]]
N.testing.assert_array_almost_equal(params,correct_params, decimal=3)
def oblique_solar_rect_bundle(num_rays, center, source_direction, rays_direction, x, y, ang_range, flux=None, procs=1): a = pillbox_sunshape_directions(num_rays, ang_range) # Rotate to a frame in which <direction> is Z: perp_rot = rotation_to_z(rays_direction) directions = N.sum(perp_rot[...,None] * a[None,...], axis=1) xs = random.uniform(low=-x/2., high=x/2., size=num_rays) ys = random.uniform(low=-y/2., high=y/2., size=num_rays) if (source_direction == N.array([0,0,-1])).all(): xs, ys = ys, xs # Rotate locations to the plane defined by <direction>: vertices_local = N.vstack((ys, xs, N.zeros(num_rays))) perp_rot = rotation_to_z(source_direction) vertices_global = N.dot(perp_rot, vertices_local) rayb = RayBundle(vertices=vertices_global + center, directions=directions) if flux != None: cosangle = 2.*N.sin(N.sqrt(N.sum((rays_direction-source_direction)**2))/2.) rayb.set_energy(x*y/num_rays*flux*N.ones(num_rays)*N.cos(cosangle)) else: rayb.set_energy(N.ones(num_rays)/float(num_rays)/procs) return rayb
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))
