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IMAGE_WIDTH = 256 | |
IMAGE_HEIGHT = 256 | |
NSUBSAMPLES = 2 | |
NAO_SAMPLES = 8 | |
class Vec | |
def initialize(x, y, z) | |
@x = x | |
@y = y | |
@z = z | |
end | |
getter x, y, z | |
def x=(@x);end | |
def y=(@y);end | |
def z=(@z);end | |
def vadd(b) | |
Vec.new(@x + b.x, @y + b.y, @z + b.z) | |
end | |
def vsub(b) | |
Vec.new(@x - b.x, @y - b.y, @z - b.z) | |
end | |
def vcross(b) | |
Vec.new(@y * b.z - @z * b.y, | |
@z * b.x - @x * b.z, | |
@x * b.y - @y * b.x) | |
end | |
def vdot(b) | |
@x * b.x + @y * b.y + @z * b.z | |
end | |
def vlength | |
Math.sqrt(@x * @x + @y * @y + @z * @z) | |
end | |
def vnormalize! | |
len = vlength | |
if len > 1.0e-17 | |
r_len = 1.0 / len | |
@x *= r_len | |
@y *= r_len | |
@z *= r_len | |
end | |
self | |
end | |
end | |
class Sphere | |
def initialize(center, radius) | |
@center = center | |
@radius_2 = radius * radius | |
end | |
def intersect(ray, isect) | |
rs = ray.org.vsub(@center) | |
b = rs.vdot(ray.dir) | |
c = rs.vdot(rs) - @radius_2 | |
d = b * b - c | |
if d > 0.0 | |
t = - b - Math.sqrt(d) | |
isect.cross(self, ray, t) | |
end | |
nil | |
end | |
def normal_vec(pos) | |
pos.vsub(@center).vnormalize! | |
end | |
end | |
class Plane | |
def initialize(p, n) | |
@p = p | |
@n = n | |
end | |
def intersect(ray, isect) | |
d = [email protected](@n) | |
v = ray.dir.vdot(@n) | |
v0 = v | |
if v < 0.0 | |
v0 = -v | |
end | |
if v0 < 1.0e-17 | |
return | |
end | |
t = -(ray.org.vdot(@n) + d) / v | |
isect.cross(self, ray, t) | |
nil | |
end | |
def normal_vec(pos) | |
@n | |
end | |
end | |
class Ray | |
def initialize(org, dir) | |
@org = org | |
@dir = dir | |
end | |
def org; @org end | |
def dir; @dir end | |
end | |
class Isect | |
def initialize | |
@t = Float64::MAX | |
@hit = false | |
@pl = Vec.new(0.0, 0.0, 0.0) | |
@normal = Vec.new(0.0, 0.0, 0.0) | |
end | |
def normal; @normal end | |
def hit? | |
@hit | |
end | |
def cross(geom, ray, dist) | |
if 0.0 < dist && dist < @t | |
@hit = true | |
@t = dist | |
@pl = Vec.new(ray.org.x + ray.dir.x * dist, | |
ray.org.y + ray.dir.y * dist, | |
ray.org.z + ray.dir.z * dist) | |
@normal = geom.normal_vec(@pl) | |
end | |
nil | |
end | |
def surface(eps) | |
Vec.new(@pl.x + eps * @normal.x, | |
@pl.y + eps * @normal.y, | |
@pl.z + eps * @normal.z) | |
end | |
end | |
def clamp(f) | |
i = f * 255.5 | |
if i > 255.0 | |
i = 255.0 | |
end | |
if i < 0.0 | |
i = 0.0 | |
end | |
UInt8.cast(i.round) | |
end | |
def otherBasis(basis, n) | |
basis[2] = Vec.new(n.x, n.y, n.z) | |
basis[1] = Vec.new(0.0, 0.0, 0.0) | |
if n.x < 0.6 && n.x > -0.6 | |
basis[1].x = 1.0 | |
elsif n.y < 0.6 && n.y > -0.6 | |
basis[1].y = 1.0 | |
elsif n.z < 0.6 && n.z > -0.6 | |
basis[1].z = 1.0 | |
else | |
basis[1].x = 1.0 | |
end | |
basis[0] = basis[1].vcross(basis[2]) | |
basis[0].vnormalize! | |
basis[1] = basis[2].vcross(basis[0]) | |
basis[1].vnormalize! | |
end | |
class Scene | |
def initialize | |
@spheres = Array(Sphere).new | |
@spheres << Sphere.new(Vec.new(-2.0, 0.0, -3.5), 0.5) | |
@spheres << Sphere.new(Vec.new(-0.5, 0.0, -3.0), 0.5) | |
@spheres << Sphere.new(Vec.new(1.0, 0.0, -2.2), 0.5) | |
@plane = Plane.new(Vec.new(0.0, -0.5, 0.0), Vec.new(0.0, 1.0, 0.0)) | |
end | |
def ambient_occlusion(isect) | |
basis = [Vec.new(0.0,0.0,0.0),Vec.new(0.0,0.0,0.0),Vec.new(0.0,0.0,0.0)] | |
otherBasis(basis, isect.normal) | |
ntheta = NAO_SAMPLES | |
nphi = NAO_SAMPLES | |
eps = 0.0001 | |
occlusion = 0.0 | |
p0 = isect.surface(eps) | |
nphi.times do |j| | |
ntheta.times do |i| | |
r = rand | |
rr = Math.sqrt(1.0 - r) | |
phi = 2.0 * Math::PI * rand | |
x = Math.cos(phi) * rr | |
y = Math.sin(phi) * rr | |
z = Math.sqrt(r) | |
rx = x * basis[0].x + y * basis[1].x + z * basis[2].x | |
ry = x * basis[0].y + y * basis[1].y + z * basis[2].y | |
rz = x * basis[0].z + y * basis[1].z + z * basis[2].z | |
raydir = Vec.new(rx, ry, rz) | |
ray = Ray.new(p0, raydir) | |
occisect = Isect.new | |
@spheres[0].intersect(ray, occisect) | |
@spheres[1].intersect(ray, occisect) | |
@spheres[2].intersect(ray, occisect) | |
@plane.intersect(ray, occisect) | |
if occisect.hit? | |
occlusion = occlusion + 1.0 | |
else | |
0.0 | |
end | |
end | |
end | |
occlusion = (ntheta * nphi - occlusion).to_f / (ntheta * nphi) | |
occlusion | |
end | |
def render_scanline(w, h, nsubsamples, y) | |
cnt = 0 | |
pixbuf = Array(UInt8).new | |
nsf = nsubsamples.to_f | |
nsf_2 = nsf * nsf | |
w.times do |x| | |
rad = 0.0 | |
# Subsampling | |
nsubsamples.times do |v| | |
nsubsamples.times do |u| | |
cnt = cnt + 1 | |
wf = w.to_f | |
hf = h.to_f | |
xf = x.to_f | |
yf = y.to_f | |
uf = u.to_f | |
vf = v.to_f | |
px = (xf + (uf / nsf) - (wf / 2.0)) / (wf / 2.0) | |
py = -(yf + (vf / nsf) - (hf / 2.0)) / (hf / 2.0) | |
eye = Vec.new(px, py, -1.0) | |
eye.vnormalize! | |
ray = Ray.new(Vec.new(0.0, 0.0, 0.0), eye) | |
isect = Isect.new | |
@spheres[0].intersect(ray, isect) | |
@spheres[1].intersect(ray, isect) | |
@spheres[2].intersect(ray, isect) | |
@plane.intersect(ray, isect) | |
if isect.hit? | |
rad += ambient_occlusion(isect) | |
end | |
end | |
end | |
pixbuf << clamp(rad / nsf_2) | |
end | |
pixbuf | |
end | |
end | |
file = "ao.ppm" | |
File.open(file, "w") do |fp| | |
fp.printf("P5\n") | |
fp.printf("%d %d\n", IMAGE_WIDTH, IMAGE_HEIGHT) | |
fp.printf("255\n") | |
s = Scene.new | |
IMAGE_HEIGHT.times do |y| | |
pixbuf = s.render_scanline(IMAGE_WIDTH, IMAGE_HEIGHT, NSUBSAMPLES, y) | |
fp.write pixbuf | |
end | |
end |
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