def hit(self, ray, tmin, tmax, hit_rec):
radius = self.radius
center = self.center
material = self.material
direction = ray.direction
oc = ray.origin - center
a = Vec.dot(direction, direction)
b = Vec.dot(oc, direction)
c = Vec.dot(oc, oc) - radius*radius
discriminant = b*b - a*c
if discriminant > 0:
temp = (-b - sqrt(b*b-a*c))/a
if temp < tmax and temp > tmin:
hit_rec.t = temp
hit_rec.p = ray.point_at_paramater(hit_rec.t)
hit_rec.n = (hit_rec.p - center) / radius
hit_rec.mat = material
return True
temp = (-b + sqrt(b * b - a * c)) / a
if temp < tmax and temp > tmin:
hit_rec.t = temp
hit_rec.p = ray.point_at_paramater(hit_rec.t)
hit_rec.n = (hit_rec.p - center) / radius
hit_rec.mat = material
return True
return False
def scatter(self, r_in, hit_rec, attenuation, r_scattered):
r_in_dir = r_in.direction
reflected = Vec.reflect(r_in_dir, hit_rec.n)
attenuation.set(1, 1, 1)
refracted = Vec()
if Vec.dot(r_in_dir, hit_rec.n) > 0:
outward_normal = -hit_rec.n
ior = self.ref_idx
cosine = ior * Vec.dot(r_in_dir, hit_rec.n) / r_in_dir.length()
else:
outward_normal = hit_rec.n
ior = 1.0 / self.ref_idx
cosine = -Vec.dot(r_in_dir, hit_rec.n) / r_in_dir.length()
if Dialectric.refract(r_in_dir, outward_normal, ior, refracted):
reflect_prob = Dialectric.schlick(cosine, self.ref_idx)
else:
r_scattered.A = hit_rec.p
r_scattered.B = reflected
reflect_prob = 1.0
if random() < reflect_prob:
r_scattered.A = hit_rec.p
r_scattered.B = reflected
else:
r_scattered.A = hit_rec.p
r_scattered.B = refracted
return True
def random_in_unit_disk():
p = Vec()
while True:
p.x = 2 * random()
p.y = 2 * random()
if Vec.dot(p, p) >= 1:
break
return p
def scatter(self, r_in, rec, attenuation, scattered):
reflected = r_in.direction.unit_vector().reflect(rec.normal)
scattered.origin = rec.p
scattered.direction = reflected
attenuation.x = self.albedo.r
attenuation.y = self.albedo.g
attenuation.z = self.albedo.b
return (Vec.dot(scattered.direction, rec.normal) > 0)
def scatter(self, r_in, hit_rec, attenuation, r_scattered):
reflected = Vec.reflect_mv(Vec.unit_vector(r_in.direction), hit_rec.n)
r_scattered.A = hit_rec.p
r_scattered.B = Sphere.random_in_unit_sphere().mul(
self.fuzz).add(reflected)
attenuation.x = self.albedo.x
attenuation.y = self.albedo.y
attenuation.z = self.albedo.z
return Vec.dot(r_scattered.direction, hit_rec.n) > 0
def refract(v, n, ior, refracted):
uv = Vec.unit_vector(v)
dt = Vec.dot(uv, n)
disc = 1 - ior * ior * (1 - dt * dt)
if disc > 0:
sqrt_disc = sqrt(disc)
refracted.x = ior * (uv.x - n.x * dt) - n.x * sqrt_disc
refracted.y = ior * (uv.y - n.y * dt) - n.y * sqrt_disc
refracted.z = ior * (uv.z - n.z * dt) - n.z * sqrt_disc
return True
else:
return False
def hit(self, r, t_min, t_max, rec):
oc = r.origin - self.center
a = r.direction.length_squared()
half_b = Vec.dot(oc, r.direction)
c = oc.length_squared() - self.radius * self.radius
discriminant = half_b * half_b - a * c
if (discriminant < 0):
return False
sqrtd = math.sqrt(discriminant)
# find the nearest root that lies in the acceptable range
root = (-half_b - sqrtd) / a
if (root < t_min or t_max < root):
root = (-half_b + sqrtd) / a
if (root < t_min or t_max < root):
return False
rec.t = root
rec.p = r.at(rec.t)
outward_normal = (rec.p - self.center) / self.radius
rec.set_face_normal(r, outward_normal)
rec.material = self.material
return True
def set_face_normal(self, r, outward_normal):
self.front_face = Vec.dot(r.direction, outward_normal) < 0
if self.front_face:
self.normal = outward_normal
else:
self.normal = -outward_normal