def hit(self, r: Ray, t_min: float, t_max: float):
oc = r.origin() - self.center
a = np.dot(r.direction(), r.direction())
b = np.dot(oc, r.direction())
c = np.dot(oc, oc) - self.radius * self.radius
discriminant = b * b - a * c
if discriminant > 0:
temp = (-b - sqrt(b * b - a * c)) / a
if (temp < t_max) and (temp > t_min):
t = temp
p = r.point_at_parameter(t)
normal = (p - self.center) / self.radius
rec = hit_record(t, p, normal, self.material)
return True, rec
temp = (-b + sqrt(b * b - a * c)) / a
if (temp < t_max) and (temp > t_min):
t = temp
p = r.point_at_parameter(t)
normal = (p - self.center) / self.radius
rec = hit_record(t, p, normal, self.material)
return True, rec
return False, None
def hit(self, r: Ray, t_min: float, t_max: float):
t: float = (self.k - r.origin()[2]) / r.direction()[2]
if (t < t_min) or (t > t_max):
return False, None
x: float = r.origin()[0] + t * r.direction()[0]
y: float = r.origin()[1] + t * r.direction()[1]
if (x < self.x0) or (x > self.x1) or (y < self.y0) or (y > self.y1):
return False, None
u = (x - self.x0) / (self.x1 - self.x0)
v = (y - self.y0) / (self.y1 - self.y0)
p = r.point_at_parameter(t)
normal = np.array((0, 0, 1))
return True, hit_record(t, p, normal, self.material, u, v)
def hit(self, r: Ray, tmin: float, tmax: float):
for a in range(3):
invD = 1.0 / r.direction()[a]
t0 = (self._min[a] - r.origin()[a]) * invD
t1 = (self._max[a] - r.origin()[a]) * invD
if invD < 0.0:
aux = t1
t1 = t0
t0 = aux
tmin = t0 if t0 > tmin else tmin
tmax = t1 if t1 < tmax else tmax
if tmax <= tmin:
return False
return True
def hit(self, ray: Ray, t_min: float, t_max: float, rec: hit_record):
oc = ray.origin() - self.center
a = Vector3.dot(ray.direction(), ray.direction())
b = Vector3.dot(oc, ray.direction())
c = Vector3.dot(oc, oc) - self.radius * self.radius
discriminant = b * b - a * c
if (discriminant > 0):
temp = (-b - math.sqrt(discriminant)) / a
if (temp < t_max and temp > t_min):
rec.t = temp
rec.p = ray.point_at_parameter(rec.t)
rec.normal = (rec.p - self.center).scalar_div(self.radius)
return True
temp = (-b + math.sqrt(discriminant)) / a
if (temp < t_max and temp > t_min):
rec.t = temp
rec.p = ray.point_at_parameter(rec.t)
rec.normal = (rec.p - self.center).scalar_div(self.radius)
return True
return False
