def intersect(self, ray):
r = ray.direction
if r.z * self.R <= 0: # backlit
return None
a = ray.endpoint + Vec(0, 0, self.R)
b = a + r
t = quadratic((b.z - a.z) ** 2 + (b.y - a.y) ** 2,
2 * a.z * (b.z - a.z) + 2 * a.y * (b.y - a.y),
a.z ** 2 + a.y ** 2 - self.R ** 2)
if t is None or t < 0: # no intersection
return None
else:
if self.R > 0:
if a.z + max(t) * r.z > 0:
p = a + max(t) * r
else:
p = a + min(t) * r
else:
if a.z + min(t) * r.z < 0:
p = a + min(t) * r
else:
p = a + max(t) * r
if (self.xsize is None and self.ysize is None) or (
-self.xsize / 2 <= p.x <= self.xsize / 2 and
-self.ysize / 2 <= p.y <= self.ysize / 2):
return Vec(p.x, p.y, p.z - self.R)
else:
return None
def intersect(self, ray):
a, b, c = self.a, self.b, self.c
r = ray.direction
p0 = ray.endpoint + Vec(0, 0, c)
t = quadratic(
r.z ** 2 + c ** 2 * r.x ** 2 / a ** 2 +
c ** 2 * r.y ** 2 / b ** 2,
2 * p0.z * r.z + c ** 2 * 2 * p0.x * r.x /
a ** 2 + c ** 2 * 2 * p0.y * r.y / b ** 2,
p0.z ** 2 + c ** 2 * p0.x ** 2 / a ** 2 + c ** 2 * p0.y ** 2 /
b ** 2 - c ** 2)
if t is None: # no intersection
return None
else:
# Figure out which intersection we should use
if self.a * self.b * self.c > 0:
if p0.z + max(t) * r.z > 0:
p = p0 + max(t) * r
else:
p = p0 + min(t) * r
else:
if p0.z + min(t) * r.z < 0:
p = p0 + min(t) * r
else:
p = p0 + max(t) * r
if (self.xsize is None and self.ysize is None) or (
(-self.xsize / 2 <= p.x <= self.xsize / 2) and
(-self.ysize / 2 <= p.y <= self.ysize / 2)):
return Vec(p.x, p.y, p.z - c)
else:
return None
def intersect(self, ray):
r = ray.direction
p = ray.endpoint
a2, b2, c = self.a ** 2, self.b ** 2, self.c
xsize, ysize = self.xsize, self.ysize
t = quadratic(r.x ** 2 / a2 + r.y ** 2 / b2,
2 * p.x * r.x / a2 + 2 * p.y * r.y / b2 - r.z / c,
p.x ** 2 / a2 + p.y ** 2 / b2 - p.z / c)
if t is None or t < 0: # no intersection
return None
else:
if self.concave:
ip = p + max(t) * r
else:
ip = p + min(t) * r
if ((xsize is None and ysize is None)
or (-xsize / 2 <= ip.x <= xsize / 2
and -ysize / 2 <= ip.y <= ysize / 2)):
return ip
else:
return None
def intersect(self, ray):
r = ray.direction
#if r.z * self.R <= 0: # backlit
#print "backlit"
#return None
a = ray.endpoint + Vec(0, 0, self.R)
t = quadratic(r.z ** 2 + r.x ** 2 + r.y ** 2,
2 * a.z * r.z + 2 * a.x * r.x + 2 * a.y * r.y,
a.z ** 2 + a.x ** 2 + a.y ** 2 - self.R ** 2)
if t is None or t < 0: # no
# intersection
print "missed"
return None
else:
# Figure out which intersection we should use
if self.R > 0:
if a.z + max(t) * r.z > 0:
p = a + max(t) * r
else:
p = a + min(t) * r
else:
if a.z + min(t) * r.z < 0:
p = a + min(t) * r
else:
p = a + max(t) * r
if (self.xsize is None and self.ysize is None) or (
(-self.xsize / 2 <= p.x <= self.xsize / 2) and
(-self.ysize / 2 <= p.y <= self.ysize / 2)):
return Vec(p.x, p.y, p.z - self.R)
#return Vec(p.x, p.y, p.z)
else:
print "outside"
return None
