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verticies = [
Vector( 0.2000, 0.0000, 2.70000), Vector( 0.2000, -0.1120, 2.70000),
Vector( 0.1120, -0.2000, 2.70000), Vector( 0.0000, -0.2000, 2.70000),
Vector( 1.3375, 0.0000, 2.53125), Vector( 1.3375, -0.7490, 2.53125),
Vector( 0.7490, -1.3375, 2.53125), Vector( 0.0000, -1.3375, 2.53125),
Vector( 1.4375, 0.0000, 2.53125), Vector( 1.4375, -0.8050, 2.53125),
Vector( 0.8050, -1.4375, 2.53125), Vector( 0.0000, -1.4375, 2.53125),
Vector( 1.5000, 0.0000, 2.40000), Vector( 1.5000, -0.8400, 2.40000),
Vector( 0.8400, -1.5000, 2.40000), Vector( 0.0000, -1.5000, 2.40000),
Vector( 1.7500, 0.0000, 1.87500), Vector( 1.7500, -0.9800, 1.87500),
Vector( 0.9800, -1.7500, 1.87500), Vector( 0.0000, -1.7500, 1.87500),
Vector( 2.0000, 0.0000, 1.35000), Vector( 2.0000, -1.1200, 1.35000),
Vector( 1.1200, -2.0000, 1.35000), Vector( 0.0000, -2.0000, 1.35000),
Vector( 2.0000, 0.0000, 0.90000), Vector( 2.0000, -1.1200, 0.90000),
Vector( 1.1200, -2.0000, 0.90000), Vector( 0.0000, -2.0000, 0.90000),
Vector(-2.0000, 0.0000, 0.90000), Vector( 2.0000, 0.0000, 0.45000),
Vector( 2.0000, -1.1200, 0.45000), Vector( 1.1200, -2.0000, 0.45000),
Vector( 0.0000, -2.0000, 0.45000), Vector( 1.5000, 0.0000, 0.22500),
Vector( 1.5000, -0.8400, 0.22500), Vector( 0.8400, -1.5000, 0.22500),
Vector( 0.0000, -1.5000, 0.22500), Vector( 1.5000, 0.0000, 0.15000),
Vector( 1.5000, -0.8400, 0.15000), Vector( 0.8400, -1.5000, 0.15000),
Vector( 0.0000, -1.5000, 0.15000), Vector(-1.6000, 0.0000, 2.02500),
Vector(-1.6000, -0.3000, 2.02500), Vector(-1.5000, -0.3000, 2.25000),
Vector(-1.5000, 0.0000, 2.25000), Vector(-2.3000, 0.0000, 2.02500),
Vector(-2.3000, -0.3000, 2.02500), Vector(-2.5000, -0.3000, 2.25000),
Vector(-2.5000, 0.0000, 2.25000), Vector(-2.7000, 0.0000, 2.02500),
Vector(-2.7000, -0.3000, 2.02500), Vector(-3.0000, -0.3000, 2.25000),
Vector(-3.0000, 0.0000, 2.25000), Vector(-2.7000, 0.0000, 1.80000),
Vector(-2.7000, -0.3000, 1.80000), Vector(-3.0000, -0.3000, 1.80000),
Vector(-3.0000, 0.0000, 1.80000), Vector(-2.7000, 0.0000, 1.57500),
Vector(-2.7000, -0.3000, 1.57500), Vector(-3.0000, -0.3000, 1.35000),
Vector(-3.0000, 0.0000, 1.35000), Vector(-2.5000, 0.0000, 1.12500),
Vector(-2.5000, -0.3000, 1.12500), Vector(-2.6500, -0.3000, 0.93750),
Vector(-2.6500, 0.0000, 0.93750), Vector(-2.0000, -0.3000, 0.90000),
Vector(-1.9000, -0.3000, 0.60000), Vector(-1.9000, 0.0000, 0.60000),
Vector( 1.7000, 0.0000, 1.42500), Vector( 1.7000, -0.6600, 1.42500),
Vector( 1.7000, -0.6600, 0.60000), Vector( 1.7000, 0.0000, 0.60000),
Vector( 2.6000, 0.0000, 1.42500), Vector( 2.6000, -0.6600, 1.42500),
Vector( 3.1000, -0.6600, 0.82500), Vector( 3.1000, 0.0000, 0.82500),
Vector( 2.3000, 0.0000, 2.10000), Vector( 2.3000, -0.2500, 2.10000),
Vector( 2.4000, -0.2500, 2.02500), Vector( 2.4000, 0.0000, 2.02500),
Vector( 2.7000, 0.0000, 2.40000), Vector( 2.7000, -0.2500, 2.40000),
Vector( 3.3000, -0.2500, 2.40000), Vector( 3.3000, 0.0000, 2.40000),
Vector( 2.8000, 0.0000, 2.47500), Vector( 2.8000, -0.2500, 2.47500),
Vector( 3.5250, -0.2500, 2.49375), Vector( 3.5250, 0.0000, 2.49375),
Vector( 2.9000, 0.0000, 2.47500), Vector( 2.9000, -0.1500, 2.47500),
Vector( 3.4500, -0.1500, 2.51250), Vector( 3.4500, 0.0000, 2.51250),
Vector( 2.8000, 0.0000, 2.40000), Vector( 2.8000, -0.1500, 2.40000),
Vector( 3.2000, -0.1500, 2.40000), Vector( 3.2000, 0.0000, 2.40000),
Vector( 0.0000, 0.0000, 3.15000), Vector( 0.8000, 0.0000, 3.15000),
Vector( 0.8000, -0.4500, 3.15000), Vector( 0.4500, -0.8000, 3.15000),
Vector( 0.0000, -0.8000, 3.15000), Vector( 0.0000, 0.0000, 2.85000),
Vector( 1.4000, 0.0000, 2.40000), Vector( 1.4000, -0.7840, 2.40000),
Vector( 0.7840, -1.4000, 2.40000), Vector( 0.0000, -1.4000, 2.40000),
Vector( 0.4000, 0.0000, 2.55000), Vector( 0.4000, -0.2240, 2.55000),
Vector( 0.2240, -0.4000, 2.55000), Vector( 0.0000, -0.4000, 2.55000),
Vector( 1.3000, 0.0000, 2.55000), Vector( 1.3000, -0.7280, 2.55000),
Vector( 0.7280, -1.3000, 2.55000), Vector( 0.0000, -1.3000, 2.55000),
Vector( 1.3000, 0.0000, 2.40000), Vector( 1.3000, -0.7280, 2.40000),
Vector( 0.7280, -1.3000, 2.40000), Vector( 0.0000, -1.3000, 2.40000),
Vector( 0.0000, 0.0000, 0.00000), Vector( 1.4250, -0.7980, 0.00000),
Vector( 1.5000, 0.0000, 0.07500), Vector( 1.4250, 0.0000, 0.00000),
Vector( 0.7980, -1.4250, 0.00000), Vector( 0.0000, -1.5000, 0.07500),
Vector( 0.0000, -1.4250, 0.00000), Vector( 1.5000, -0.8400, 0.07500),
Vector( 0.8400, -1.5000, 0.07500)
]
#print("static const dmnsn_vector dmnsn_teapot_verticies[%d] = {" % \
# len(verticies))
#for i in range(len(verticies)):
# v = verticies[i]
# v = Vector(v.x, v.z - 1.575, v.y)
# print(" { .x = %+.5f, .y = %+.5f, .z = %+.5f }," % (v.x, v.y, v.z))
#print("};")
ntriangles = 0
B = [
lambda x: (1 - x)*(1 -x)*(1 - x),
lambda x: 3*x*(1 - x)*(1 - x),
lambda x: 3*x*x*(1 - x),
lambda x: x*x*x,
]
Bprime = [
lambda x: -3*(1-x)*(1-x),
lambda x: 3*(1-x)*(1-x) - 6*x*(1-x),
lambda x: 6*x*(1-x) - 3*x*x,
lambda x: 3*x*x,
]
class _BicubicPatch(Union):
def __init__(self, indicies):
if len(indicies) != 16:
raise ValueError("expected 16 control points")
self.control_points = []
for i in indicies:
self.control_points.append(verticies[i])
resolution = 8
triangles = []
global ntriangles
for i in range(resolution):
for j in range(resolution):
a = self._eval(i/resolution, j/resolution)
an = self._eval_normal(i/resolution, j/resolution)
b = self._eval((i + 1)/resolution, j/resolution)
bn = self._eval_normal((i + 1)/resolution, j/resolution)
c = self._eval((i + 1)/resolution, (j + 1)/resolution)
cn = self._eval_normal((i + 1)/resolution, (j + 1)/resolution)
d = self._eval(i/resolution, (j + 1)/resolution)
dn = self._eval_normal(i/resolution, (j + 1)/resolution)
triangles.append(Triangle(a, b, c, an, bn, cn))
triangles.append(Triangle(c, d, a, cn, dn, an))
ntriangles += 2
if ntriangles%1000000 == 0:
print(ntriangles)
Union.__init__(self, triangles)
def _eval(self, u, v):
r = Vector(0)
for i in range(4):
for j in range(4):
r += self.control_points[4*j + i]*B[i](u)*B[j](v)
return r
def _eval_normal(self, u, v):
ru = Vector(0)
for i in range(4):
for j in range(4):
ru += self.control_points[4*j + i]*Bprime[i](u)*B[j](v)
rv = Vector(0)
for i in range(4):
for j in range(4):
rv += self.control_points[4*j + i]*B[i](u)*Bprime[j](v)
return cross(ru, rv)
class _Teapot(Union):
def __init__(self, *args, **kwargs):
patches = [
self.reflectY(),
self.reflectY().scale(1, -1, 1),
]
Union.__init__(self, patches, *args, **kwargs)
self.rotate(-90*X).translate(-1.575*Y)
@classmethod
def rim(cls):
return _BicubicPatch([
102, 103, 104, 105, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15
])
@classmethod
def body(cls):
body1 = _BicubicPatch([
12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27
])
body2 = _BicubicPatch([
24, 25, 26, 27, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40
])
return Union([body1, body2])
@classmethod
def lid(cls):
lid1 = _BicubicPatch([
96, 96, 96, 96, 97, 98, 99, 100, 101, 101, 101, 101, 0, 1, 2, 3
])
lid2 = _BicubicPatch([
0, 1, 2, 3, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117
])
return Union([lid1, lid2])
@classmethod
def bottom(cls):
return _BicubicPatch([
118, 118, 118, 118, 124, 122, 119, 121, 123, 126, 125, 120, 40, 39, 38, 37
])
@classmethod
def reflectXY(cls):
return Union([
cls.rim(),
cls.body(),
cls.lid(),
cls.bottom(),
])
@classmethod
def handle(cls):
handle1 = _BicubicPatch([
41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56
])
handle2 = _BicubicPatch([
53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 28, 65, 66, 67
])
return Union([handle1, handle2])
@classmethod
def spout(cls):
spout1 = _BicubicPatch([
68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83
])
spout2 = _BicubicPatch([
80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95
])
return Union([spout1, spout2])
@classmethod
def reflectY(cls):
return Union([
cls.reflectXY(),
cls.reflectXY().scale(-1, 1, 1),
cls.handle(),
cls.spout(),
])
camera = PerspectiveCamera(
location = -5*Z,
look_at = 0,
)
lights.append(PointLight(location = (-15, 20, -10), color = White))
objects.append(Teapot(pigment = White).rotate(-80*X))
if ntriangles > 0:
print(ntriangles)
|
