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_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 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 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)
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)
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 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
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 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 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)
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 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
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 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):
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 runTest(self):
pos = N.array([[0, 1.5], [0, -1.5], [1, 0], [-1, 0], [0.1, 0.1],
[-0.1, 0.6]])
bund = RayBundle()
bund.set_vertices(N.vstack((pos.T, N.ones(pos.shape[0]))))
bund.set_directions(N.tile(N.c_[[0, 0, -1]], (1, 6)))
surf = Surface(HexagonalParabolicDishGM(2., 1.), opt.perfect_mirror)
misses = N.isinf(surf.register_incoming(bund))
N.testing.assert_array_equal(
misses, N.r_[True, True, True, True, False, False])
def test_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 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
class TestRectOneSided(unittest.TestCase):
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))
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_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 TestRectOneSided(unittest.TestCase):
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))
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_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 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)
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 triangular_bundle(num_rays,
A,
B,
C,
direction=None,
ang_range=N.pi / 2.,
flux=None,
procs=1):
"""
Triangular ray-casting surface. A, B and C are 3D coordinates of the vertices. Right hand rule determines the normal vector direction.
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 around which rays are escaping the source. If None, the direction is the normal.
- 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))
AB = B - A
AC = C - A
sqrtr1 = N.sqrt(r1)
vertices = (A + sqrtr1 * (1. - r2) * AB +
r2 * sqrtr1 * AC).T # Triangle point picking
# Local referential directions:
a = pillbox_sunshape_directions(num_rays, ang_range)
# Normal vector:
normal = N.cross(AB, AC)
normal = normal / N.sqrt(N.sum(normal**2))
if direction is None:
direction = normal
# Rotate to a frame in which <direction> is direction:
rot = rotation_to_z(direction)
directions = N.sum(rot[..., None] * a[None, ...], axis=1)
rayb = RayBundle()
rayb.set_vertices(vertices)
rayb.set_directions(directions)
# Heron's formula for triangle surface area
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:
cosangle = 2. * N.arcsin(0.5 * N.sqrt(N.sum((direction - normal)**2)))
rayb.set_energy(area / 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 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)
