From b602fff4133fd793b04839e4e0514c8c101fa50a Mon Sep 17 00:00:00 2001 From: Tavian Barnes Date: Wed, 21 Dec 2011 15:51:47 -0500 Subject: Add teapots WIP. --- dimension/tests/teapot.dmnsn | 230 +++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 230 insertions(+) create mode 100644 dimension/tests/teapot.dmnsn (limited to 'dimension/tests/teapot.dmnsn') diff --git a/dimension/tests/teapot.dmnsn b/dimension/tests/teapot.dmnsn new file mode 100644 index 0000000..bcc012a --- /dev/null +++ b/dimension/tests/teapot.dmnsn @@ -0,0 +1,230 @@ +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) -- cgit v1.2.3