def test_translation_vector(self):
transform = translation(5, -3, 2)
v = vector(-3, 4, 5)
self.assertEqual(transform * v, v,
'The translation of a vector failed')
def test_translation(self):
transform = translation(5, -3, 2)
p = point(-3, 4, 5)
p_out = point(2, 1, 7)
self.assertEqual(transform * p, p_out, 'The translation failed')
def test_sphere_translated(self):
"""Tests a sphere normal vector under translation"""
s_var = sphere()
s_var.set_transform(translation(0, 1, 0))
n_var = normal_at(s_var, point(0, 1.70711, -0.70711))
self.assertEqual(n_var, vector(0, 0.70711, -0.70711),\
'The normal in the translated sphere is wrong.')
def test_sphere_transformed2(self):
r = ray(point(0, 0, -5), vector(0, 0, 1))
s = sphere()
s.set_transform(translation(5, 0, 0))
xs = intersect(s, r)
self.assertEqual(len(xs), 0, 'There sould be no intersection')
def test_inv_translation(self):
transform = translation(5, -3, 2)
inv = inverse(transform)
p = point(-3, 4, 5)
p_out = point(-8, 7, 3)
self.assertEqual(inv * p, p_out, 'The inverse translation failed')
def test_sphere_transform(self):
s = sphere()
self.assertEqual(
s.transform, identity_matrix,
'The default sphere transformation should be the identity matrix')
t = translation(2, 3, 4)
s.set_transform(t)
self.assertEqual(s.transform, t,
'The transformation shoud be translation')
def test_transformation(self):
r = ray(point(1, 2, 3), vector(0, 1, 0))
m = translation(3, 4, 5)
r2 = transform(r, m)
self.assertEqual(r2.origin, point(4, 6, 8),
'The ray translation failed')
self.assertEqual(r2.direction, vector(0, 1, 0),
'The ray translation failed')
m2 = scaling(2, 3, 4)
r3 = transform(r, m2)
self.assertEqual(r3.origin, point(2, 6, 12), 'The ray scaling failed')
self.assertEqual(r3.direction, vector(0, 3, 0),
'The ray scaling failed')
def test_chain_transform1(self):
p = point(1, 0, 1)
A = rotation_x(pi / 2)
B = scaling(5, 5, 5)
C = translation(10, 5, 7)
p2 = point(1, -1, 0)
self.assertEqual(A * p, p2, 'The rotation failed')
p3 = point(5, -5, 0)
self.assertEqual(B * p2, p3, 'The chain scaling failed')
p4 = point(15, 0, 7)
self.assertEqual(C * p3, p4, 'The chain translation failed')
self.assertEqual(C * B * A * p, p4, 'The chain transformations failed')
with open('shadow_sphere.ppm', 'w') as f:
f.write(c.to_PPM())
print('blank canvas wrote')
pad_x = -CANVAS_W / 2
pad_y = -CANVAS_H / 2
light_position = point(-10, 10, -10)
light_color = color(1, 1, 1)
light = PointLight(light_position, light_color)
s = sphere()
s.material = Material()
s.material.color = color(1, 0.2, 1)
trans = scaling(200, 200, 1) * translation(0, 0, 800)
s.set_transform(trans)
print('{:04d},{:04d}'.format(0, 0), end='\r')
h = False
for i in range(CANVAS_W):
#print()
for j in range(CANVAS_H):
print('{:04d},{:04d}'.format(i, j), end='\r')
r = ray(point(0, 0, 0), vector(i + pad_x, -pad_y - j, CANVAS_DISTANCE))
inter = intersect(s, r)
if hit(inter) != None:
c[i, j] = HIT_COLOR
h = True
#if h:
#print('\033[48;2;255;0;0m \033[0m', end='', flush=True)
def __init__(self, center=point(0, 0, 0), r=1):
self.center = center
self.r = r
self.transform = scaling(r, r, r) * translation(*center)
self.material = Material()
