def setUp(self):
# create a transform
o2w = translate(Vector(10, 0, 0)) * scale(1.3, 1.8, 2.0)
w2o = o2w.inverse()
# create the sphere
self.sphere = Sphere(o2w, w2o, False, 1.0, -1.0, 1.0, 360)
def create_pyramid():
primitives = []
# create the sphere primitive
material = None
object_to_world = Transform()
world_to_object = Transform()
sphere = Sphere(object_to_world, world_to_object, False, 1.0, -1.0, 1.0,
360)
primitive = GeometricPrimitive(sphere, material, None)
# now create the instances
# create the objects, with this layout (shown in 2D)
# O O O O level 0, width 4, pos_x -6
# O O O level 1, width 3, pos_x -4
# O O level 2, width 2, pos_x -2
# O level 3, width 1, pos_x 0
for level in range(4):
width_array = 4 - level
start_pos = Point(-2.0 * (3 - level), -2.0 * (3 - level), level * 2.0)
for i in range(width_array):
start_pos_i = start_pos + i * Vector(2.0, 0.0, 0.0)
for j in range(width_array):
pos = start_pos_i + j * Vector(0.0, 2.0, 0.0)
transform = translate(pos).inverse()
world_to_primitive = AnimatedTransform(transform, 0.0,
transform, 1.0)
instance = TransformedPrimitive(primitive, world_to_primitive)
primitives.append(instance)
return primitives
def create_pyramid():
primitives = []
# create the sphere primitive
material = None
object_to_world = Transform()
world_to_object = Transform()
sphere = Sphere(object_to_world, world_to_object, False, 1.0, -1.0,
1.0, 360)
primitive = GeometricPrimitive(sphere, material, None)
# now create the instances
# create the objects, with this layout (shown in 2D)
# O O O O level 0, width 4, pos_x -6
# O O O level 1, width 3, pos_x -4
# O O level 2, width 2, pos_x -2
# O level 3, width 1, pos_x 0
for level in range(4):
width_array = 4 - level
start_pos = Point(-2.0*(3-level), -2.0*(3-level), level*2.0)
for i in range(width_array):
start_pos_i = start_pos + i * Vector(2.0, 0.0, 0.0)
for j in range(width_array):
pos = start_pos_i + j * Vector(0.0, 2.0, 0.0)
transform = translate(pos).inverse()
world_to_primitive = AnimatedTransform(transform, 0.0, transform, 1.0)
instance = TransformedPrimitive(primitive, world_to_primitive)
primitives.append(instance)
return primitives
def setUp(self):
# create a transform
o2w = translate(Vector(10,0,0)) * scale(1.3, 1.8, 2.0)
w2o = o2w.inverse()
# create the sphere
self.sphere = Sphere(o2w, w2o, False, 1.0, -1.0, 1.0, 360)
def test_transform_ray(self):
ray = Ray(origin=Point(1, 2, 3),
direction=Vector(10, 20, 30))
ray_transformed = translate(Point(10, 20, 30))(ray)
self.assertTrue(isinstance(ray_transformed, Ray))
self.assertEqual(ray_transformed.o, Point(11, 22, 33))
self.assertEqual(ray_transformed.d, Vector(10, 20, 30))
def test_transform(self):
p = Point(1, 2, 3)
p2 = translate(Point(10, 20, 30))(p)
self.assertTrue(isinstance(p2, Point))
self.assertEqual(p2, Point(11, 22, 33))
v = Vector(1, 2, 3)
v2 = translate(Point(10, 20, 30))(v)
self.assertTrue(isinstance(v2, Vector))
self.assertEqual(v2, Vector(1, 2, 3))
self.assertEqual(scale(2, 3, 4)(Point(1, 2, 3)),
Point(2, 6, 12))
self.assertEqual(scale(2, 3, 4)(Vector(1, 2, 3)),
Vector(2, 6, 12))
self.assertEqual(rotate(90, Vector(0, 1, 0))(Normal(1, 0, 0)),
Normal(0, 0, -1))
def create_simple_sphere():
primitives = []
material = None
object_to_world = translate(Point(0,1,0))
world_to_object = object_to_world.inverse()
sphere = Sphere(object_to_world, world_to_object, False,
1.0, -1.0, 1.0, 360)
primitive = GeometricPrimitive(sphere, material, None)
primitives.append(primitive)
return primitives
def create_simple_sphere():
primitives = []
material = None
object_to_world = translate(Point(0, 1, 0))
world_to_object = object_to_world.inverse()
sphere = Sphere(object_to_world, world_to_object, False, 1.0, -1.0, 1.0,
360)
primitive = GeometricPrimitive(sphere, material, None)
primitives.append(primitive)
return primitives
def setUp(self):
# create a transform
o2w1 = translate(Vector(10, 0, 0)) * scale(1.3, 1.8, 2.0)
w2o1 = o2w1.inverse()
# create a sphere
self.sphere1 = Sphere(o2w1, w2o1, False, 1.0, -1.0, 1.0, 360)
self.primitive_sphere1 = GeometricPrimitive(self.sphere1, None, None)
# create a transform
o2w2 = translate(Vector(-10, 0, 0)) * scale(1.3, 1.8, 2.0)
w2o2 = o2w2.inverse()
# create a sphere
self.sphere2 = Sphere(o2w2, w2o2, False, 1.0, -1.0, 1.0, 360)
self.primitive_sphere2 = GeometricPrimitive(self.sphere2, None, None)
primitives = [self.primitive_sphere1, self.primitive_sphere2]
self.grid_accel = GridAccel(primitives, True)
def test_transform_bbox(self):
box = BBox(Point(-1, -2, 0), Point(0, 3, -4))
box_transformed = translate(Point(10, 20, 30))(box)
self.assertTrue(isinstance(box_transformed, BBox))
self.assertEqual(box_transformed.p_min, Point(9, 18, 26))
self.assertEqual(box_transformed.p_max, Point(10, 23, 30))
box_transformed2 = scale(2, 3, 4)(box)
self.assertTrue(isinstance(box_transformed2, BBox))
self.assertEqual(box_transformed2.p_min, Point(-2, -6, -16))
self.assertEqual(box_transformed2.p_max, Point(0, 9, 0))
def test_decompose(self):
vector_translate = Vector(10.0, 20.0, 30.0)
matrix_translate = translate(vector_translate)
matrix_rotation = rotate(35.0, Vector(1.0, 2.0, 3.0))
vector_scale = Vector(1.2, 3.4, 3.2)
matrix_scale = scale(vector_scale.x, vector_scale.y, vector_scale.z)
transform = matrix_translate * matrix_rotation * matrix_scale
vector_, quaternion_, scale_ = decompose(transform.m)
self.assertEqual(vector_translate, vector_)
self.assertEqual(matrix_rotation, quaternion_.to_transform())
self.assertEqual(matrix_scale.m, scale_)
def test_inverse(self):
m1 = scale(2.0, 3.0, 4.0)
m2 = scale(1.0/2.0, 1.0/3.0, 1.0/4.0)
self.assertEqual(m1.inverse(), m2)
self.assertEqual(m1.m_inv, m2.m)
self.assertEqual(m2.m_inv, m1.m)
m3 = translate(Point(5, 6, 7)) * scale(2, -3 , 4) * rotate(17, Vector(-1, 4, -2))
m4 = m3.inverse()
identity = Transform()
self.assertTrue((m3*m4).is_identity())
self.assertTrue((m4*m3).is_identity())
def setUp(self):
# create a transform
o2w1 = translate(Vector(10,0,0)) * scale(1.3, 1.8, 2.0)
w2o1 = o2w1.inverse()
# create a sphere
self.sphere1 = Sphere(o2w1, w2o1, False, 1.0, -1.0, 1.0, 360)
self.primitive_sphere1 = GeometricPrimitive(self.sphere1,
None, None)
# create a transform
o2w2 = translate(Vector(-10,0,0)) * scale(1.3, 1.8, 2.0)
w2o2 = o2w2.inverse()
# create a sphere
self.sphere2 = Sphere(o2w2, w2o2, False, 1.0, -1.0, 1.0, 360)
self.primitive_sphere2 = GeometricPrimitive(self.sphere2,
None, None)
primitives = [self.primitive_sphere1, self.primitive_sphere2]
self.grid_accel = GridAccel(primitives, True)
def time_sphere_intersection():
# create a transform
o2w = translate(Vector(10,0,0)) * scale(1.3, 1.8, 2.0)
w2o = o2w.inverse()
# create the sphere
sphere = Sphere(o2w, w2o, False, 1.0, -1.0, 1.0, 360)
# create a large amount of rays,
# choose so that half of them will intersect the ray
positions = [Point(random.randint(0,100),
random.randint(0,100),
random.randint(0,100)
) for i in range(size)]
ray = Ray(Point(0,0,0), Vector(1.0, 1.0, 1.0))
vectors = []
for i in xrange(size):
position = positions[i]
if i%2 == 0:
# make sure this ray hit the sphere
vector = sphere.object_to_world(Point(0, 0, 0)) - position
vector /= float(random.randint(1,10))
else:
# construct a random vector
vector = Vector((random.random()-0.5)*random.randint(1,5),
(random.random()-0.5)*random.randint(1,5),
(random.random()-0.5*random.randint(1,5)))
vectors.append(vector)
intersections = 0
t1 = time.time()
for i in xrange(nb_calls):
ray.o = positions[i%size]
ray.d = vectors[i%size]
if sphere.intersect_p(ray):
intersections += 1
t2 = time.time()
for i in xrange(nb_calls):
ray.o = positions[i%size]
ray.d = vectors[i%size]
sphere.intersect(ray)
t3 = time.time()
print "%d calls, %d intersections" % (nb_calls, intersections)
print "Sphere.intersect_p() %.2fms" % ((t2-t1)/float(nb_calls)*1000.0)
print "Sphere.intersect() %.2fms" % ((t3-t2)/float(nb_calls)*1000.0)
def test_transform_ray(self):
ray_differential = RayDifferential(origin=Point(1,2,3),
direction=Vector(10,20,30))
ray_differential.rx_origin = Point(4,5,6)
ray_differential.ry_origin = Point(5,6,7)
ray_differential.rx_direction = Vector(2,3,4)
ray_differential.ry_direction = Vector(3,4,5)
ray_transformed = translate(Point(10,20,30))(ray_differential)
self.assertTrue(isinstance(ray_transformed, RayDifferential))
self.assertEqual(ray_transformed.o, Point(11,22,33))
self.assertEqual(ray_transformed.d, Vector(10,20,30))
self.assertEqual(ray_transformed.rx_origin, Point(14,25,36))
self.assertEqual(ray_transformed.ry_origin, Point(15,26,37))
self.assertEqual(ray_transformed.rx_direction, Vector(2,3,4))
self.assertEqual(ray_transformed.ry_direction, Vector(3,4,5))
def __init__(self, camera_to_world, projection, screen_window, s_open,
s_close, lens_radius, focal_distance, film):
"""Default constructor for ProjectiveCamera."""
super(ProjectiveCamera, self).__init__(camera_to_world, s_open,
s_close, film)
# initialize depth of field parameters
self.lens_radius = lens_radius
self.focal_distance = focal_distance
# compute projective camera transformations
self.camera_to_screen = projection
# compute projective camera screen transformations
sc1 = scale(float(film.x_resolution), float(film.y_resolution), 1.0)
sc2 = scale(1.0 / (screen_window[1] - screen_window[0]),
1.0 / (screen_window[2] - screen_window[3]), 1.0)
tr = translate(Point(-screen_window[0], -screen_window[3], 0.0))
self.screen_to_raster = sc1 * sc2 * tr
self.raster_to_screen = inverse(self.screen_to_raster)
self.raster_to_camera = inverse(self.camera_to_screen) * \
self.raster_to_screen
def __init__(self, camera_to_world, projection, screen_window,
s_open, s_close, lens_radius, focal_distance,
film):
"""Default constructor for ProjectiveCamera."""
super(ProjectiveCamera, self).__init__(camera_to_world,
s_open, s_close,
film)
# initialize depth of field parameters
self.lens_radius = lens_radius
self.focal_distance = focal_distance
# compute projective camera transformations
self.camera_to_screen = projection
# compute projective camera screen transformations
sc1 = scale(float(film.x_resolution), float(film.y_resolution), 1.0)
sc2 = scale(1.0 / (screen_window[1] - screen_window[0]),
1.0 / (screen_window[2] - screen_window[3]),
1.0)
tr = translate(Point(-screen_window[0], -screen_window[3], 0.0))
self.screen_to_raster = sc1 * sc2 * tr
self.raster_to_screen = inverse(self.screen_to_raster)
self.raster_to_camera = inverse(self.camera_to_screen) * \
self.raster_to_screen
def test_transform_handedness(self):
m1 = translate(Point(-17, 2, 31)) * scale(0.5, 6 , 1.4) * rotate(35, Vector(-15, 20, 0.2))
self.assertFalse(m1.swap_handedness())
m2 = translate(Point(5, 6, 7)) * scale(2, -3 , 4) * rotate(17, Vector(-1, 4, -2))
self.assertTrue(m2.swap_handedness())
def test_transform_transform(self):
m1 = scale(2, 3, 4) * translate(Point(10, 20, 30))
m2 = translate(Point(20, 60, 120)) * scale(2, 3, 4)
self.assertEqual(m1, m2)
