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authorTavian Barnes <tavianator@gmail.com>2011-12-21 15:51:47 -0500
committerTavian Barnes <tavianator@gmail.com>2011-12-21 15:52:06 -0500
commitb602fff4133fd793b04839e4e0514c8c101fa50a (patch)
treee9023f73ef1170378d09130305fc72a561ce7ff2
parentbabba43cd4d1b9c92a569f19acbe17e429193b01 (diff)
downloaddimension-teapot.tar.xz
Add teapots WIP.teapot
-rw-r--r--dimension/tests/Makefile.am3
-rw-r--r--dimension/tests/cube.dmnsn14
-rw-r--r--dimension/tests/teapot.dmnsn230
-rw-r--r--libdimension-python/dimension.pxd1
-rw-r--r--libdimension-python/dimension.pyx9
-rw-r--r--libdimension/Makefile.am1
-rw-r--r--libdimension/dimension/objects.h6
-rw-r--r--libdimension/teapot.c455
8 files changed, 711 insertions, 8 deletions
diff --git a/dimension/tests/Makefile.am b/dimension/tests/Makefile.am
index 684b2aa..a6c0f15 100644
--- a/dimension/tests/Makefile.am
+++ b/dimension/tests/Makefile.am
@@ -18,7 +18,8 @@
###########################################################################
TESTS = demo.dmnsn \
- cube.dmnsn
+ cube.dmnsn \
+ teapot.dmnsn
TEST_EXTENSIONS = .dmnsn
DMNSN_LOG_COMPILER = $(top_srcdir)/dimension/dimension
AM_DMNSN_LOG_FLAGS = --strict -v
diff --git a/dimension/tests/cube.dmnsn b/dimension/tests/cube.dmnsn
index 5f74219..65387ab 100644
--- a/dimension/tests/cube.dmnsn
+++ b/dimension/tests/cube.dmnsn
@@ -42,20 +42,19 @@ objects.append(
)
)
-class ShinySphere(Sphere):
+class ShinySphere(Teapot):
def __init__(self, x, y, z, size):
size -= 1
dx = sin(2*pi*x/size)
dy = sin(2*pi*y/size)
dz = sin(2*pi*z/size)
- Sphere.__init__(
+ center = (5*Vector(x, y, z)/size
+ + Vector(dy + dz, dx + dz, dx + dy)/4
+ - Vector(2.5, 2.5, 2.5))
+ radius = 2/size
+ Teapot.__init__(
self,
- center = 5*Vector(x, y, z)/size
- + Vector(dy + dz, dx + dz, dx + dy)/4
- - Vector(2.5, 2.5, 2.5),
- radius = 2/size,
-
texture = Texture(
pigment = sRGB(x/size, y/size, z/size),
finish = Ambient(sRGB(0.25))
@@ -63,6 +62,7 @@ class ShinySphere(Sphere):
+ Reflection(0, 0.25)
)
)
+ self.scale(radius/2).translate(center)
size = 10
for x in range(size):
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)
diff --git a/libdimension-python/dimension.pxd b/libdimension-python/dimension.pxd
index 3f89e71..cddd7ba 100644
--- a/libdimension-python/dimension.pxd
+++ b/libdimension-python/dimension.pxd
@@ -335,6 +335,7 @@ cdef extern from "../libdimension/dimension.h":
dmnsn_object *dmnsn_new_cube()
dmnsn_object *dmnsn_new_cone(double r1, double r2, bint open)
dmnsn_object *dmnsn_new_torus(double major, double minor)
+ dmnsn_object *dmnsn_new_teapot()
dmnsn_object *dmnsn_new_csg_union(dmnsn_array *objects)
dmnsn_object *dmnsn_new_csg_intersection(dmnsn_object *A, dmnsn_object *B)
diff --git a/libdimension-python/dimension.pyx b/libdimension-python/dimension.pyx
index a34d2eb..704d6fa 100644
--- a/libdimension-python/dimension.pyx
+++ b/libdimension-python/dimension.pyx
@@ -1271,6 +1271,15 @@ cdef class Torus(Object):
self._object = dmnsn_new_torus(major_radius, minor_radius)
Object.__init__(self, *args, **kwargs)
+cdef class Teapot(Object):
+ """The Utah teapot."""
+ def __init__(self, *args, **kwargs):
+ """
+ Create a Teapot. Teapot() accepts any arguments that Object() accepts.
+ """
+ self._object = dmnsn_new_teapot()
+ Object.__init__(self, *args, **kwargs)
+
cdef class Union(Object):
"""A CSG union."""
def __init__(self, objects, *args, **kwargs):
diff --git a/libdimension/Makefile.am b/libdimension/Makefile.am
index aa5921e..2ee15a9 100644
--- a/libdimension/Makefile.am
+++ b/libdimension/Makefile.am
@@ -108,6 +108,7 @@ libdimension_la_SOURCES = $(nobase_include_HEADERS) \
scene.c \
solid_pigment.c \
sphere.c \
+ teapot.c \
texture.c \
threads.c \
threads.h \
diff --git a/libdimension/dimension/objects.h b/libdimension/dimension/objects.h
index 9ce9e46..02eaba8 100644
--- a/libdimension/dimension/objects.h
+++ b/libdimension/dimension/objects.h
@@ -84,3 +84,9 @@ dmnsn_object *dmnsn_new_cone(double r1, double r2, bool open);
* @return A torus, centered at the origin and lying in the x-z plane.
*/
dmnsn_object *dmnsn_new_torus(double major, double minor);
+
+/**
+ * The Utah teapot.
+ * @return A teapot.
+ */
+dmnsn_object *dmnsn_new_teapot(void);
diff --git a/libdimension/teapot.c b/libdimension/teapot.c
new file mode 100644
index 0000000..32c8a16
--- /dev/null
+++ b/libdimension/teapot.c
@@ -0,0 +1,455 @@
+/*************************************************************************
+ * Copyright (C) 2011 Tavian Barnes <tavianator@tavianator.com> *
+ * *
+ * This file is part of The Dimension Library. *
+ * *
+ * The Dimension Library is free software; you can redistribute it and/ *
+ * or modify it under the terms of the GNU Lesser General Public License *
+ * as published by the Free Software Foundation; either version 3 of the *
+ * License, or (at your option) any later version. *
+ * *
+ * The Dimension Library is distributed in the hope that it will be *
+ * useful, but WITHOUT ANY WARRANTY; without even the implied warranty *
+ * of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU *
+ * Lesser General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU Lesser General Public *
+ * License along with this program. If not, see *
+ * <http://www.gnu.org/licenses/>. *
+ *************************************************************************/
+
+/**
+ * @file
+ * Teapots.
+ */
+
+#include "dimension-internal.h"
+
+static const dmnsn_vector dmnsn_teapot_verticies[127] = {
+ { .x = +0.20000, .y = +1.12500, .z = +0.00000 },
+ { .x = +0.20000, .y = +1.12500, .z = -0.11200 },
+ { .x = +0.11200, .y = +1.12500, .z = -0.20000 },
+ { .x = +0.00000, .y = +1.12500, .z = -0.20000 },
+ { .x = +1.33750, .y = +0.95625, .z = +0.00000 },
+ { .x = +1.33750, .y = +0.95625, .z = -0.74900 },
+ { .x = +0.74900, .y = +0.95625, .z = -1.33750 },
+ { .x = +0.00000, .y = +0.95625, .z = -1.33750 },
+ { .x = +1.43750, .y = +0.95625, .z = +0.00000 },
+ { .x = +1.43750, .y = +0.95625, .z = -0.80500 },
+ { .x = +0.80500, .y = +0.95625, .z = -1.43750 },
+ { .x = +0.00000, .y = +0.95625, .z = -1.43750 },
+ { .x = +1.50000, .y = +0.82500, .z = +0.00000 },
+ { .x = +1.50000, .y = +0.82500, .z = -0.84000 },
+ { .x = +0.84000, .y = +0.82500, .z = -1.50000 },
+ { .x = +0.00000, .y = +0.82500, .z = -1.50000 },
+ { .x = +1.75000, .y = +0.30000, .z = +0.00000 },
+ { .x = +1.75000, .y = +0.30000, .z = -0.98000 },
+ { .x = +0.98000, .y = +0.30000, .z = -1.75000 },
+ { .x = +0.00000, .y = +0.30000, .z = -1.75000 },
+ { .x = +2.00000, .y = -0.22500, .z = +0.00000 },
+ { .x = +2.00000, .y = -0.22500, .z = -1.12000 },
+ { .x = +1.12000, .y = -0.22500, .z = -2.00000 },
+ { .x = +0.00000, .y = -0.22500, .z = -2.00000 },
+ { .x = +2.00000, .y = -0.67500, .z = +0.00000 },
+ { .x = +2.00000, .y = -0.67500, .z = -1.12000 },
+ { .x = +1.12000, .y = -0.67500, .z = -2.00000 },
+ { .x = +0.00000, .y = -0.67500, .z = -2.00000 },
+ { .x = -2.00000, .y = -0.67500, .z = +0.00000 },
+ { .x = +2.00000, .y = -1.12500, .z = +0.00000 },
+ { .x = +2.00000, .y = -1.12500, .z = -1.12000 },
+ { .x = +1.12000, .y = -1.12500, .z = -2.00000 },
+ { .x = +0.00000, .y = -1.12500, .z = -2.00000 },
+ { .x = +1.50000, .y = -1.35000, .z = +0.00000 },
+ { .x = +1.50000, .y = -1.35000, .z = -0.84000 },
+ { .x = +0.84000, .y = -1.35000, .z = -1.50000 },
+ { .x = +0.00000, .y = -1.35000, .z = -1.50000 },
+ { .x = +1.50000, .y = -1.42500, .z = +0.00000 },
+ { .x = +1.50000, .y = -1.42500, .z = -0.84000 },
+ { .x = +0.84000, .y = -1.42500, .z = -1.50000 },
+ { .x = +0.00000, .y = -1.42500, .z = -1.50000 },
+ { .x = -1.60000, .y = +0.45000, .z = +0.00000 },
+ { .x = -1.60000, .y = +0.45000, .z = -0.30000 },
+ { .x = -1.50000, .y = +0.67500, .z = -0.30000 },
+ { .x = -1.50000, .y = +0.67500, .z = +0.00000 },
+ { .x = -2.30000, .y = +0.45000, .z = +0.00000 },
+ { .x = -2.30000, .y = +0.45000, .z = -0.30000 },
+ { .x = -2.50000, .y = +0.67500, .z = -0.30000 },
+ { .x = -2.50000, .y = +0.67500, .z = +0.00000 },
+ { .x = -2.70000, .y = +0.45000, .z = +0.00000 },
+ { .x = -2.70000, .y = +0.45000, .z = -0.30000 },
+ { .x = -3.00000, .y = +0.67500, .z = -0.30000 },
+ { .x = -3.00000, .y = +0.67500, .z = +0.00000 },
+ { .x = -2.70000, .y = +0.22500, .z = +0.00000 },
+ { .x = -2.70000, .y = +0.22500, .z = -0.30000 },
+ { .x = -3.00000, .y = +0.22500, .z = -0.30000 },
+ { .x = -3.00000, .y = +0.22500, .z = +0.00000 },
+ { .x = -2.70000, .y = +0.00000, .z = +0.00000 },
+ { .x = -2.70000, .y = +0.00000, .z = -0.30000 },
+ { .x = -3.00000, .y = -0.22500, .z = -0.30000 },
+ { .x = -3.00000, .y = -0.22500, .z = +0.00000 },
+ { .x = -2.50000, .y = -0.45000, .z = +0.00000 },
+ { .x = -2.50000, .y = -0.45000, .z = -0.30000 },
+ { .x = -2.65000, .y = -0.63750, .z = -0.30000 },
+ { .x = -2.65000, .y = -0.63750, .z = +0.00000 },
+ { .x = -2.00000, .y = -0.67500, .z = -0.30000 },
+ { .x = -1.90000, .y = -0.97500, .z = -0.30000 },
+ { .x = -1.90000, .y = -0.97500, .z = +0.00000 },
+ { .x = +1.70000, .y = -0.15000, .z = +0.00000 },
+ { .x = +1.70000, .y = -0.15000, .z = -0.66000 },
+ { .x = +1.70000, .y = -0.97500, .z = -0.66000 },
+ { .x = +1.70000, .y = -0.97500, .z = +0.00000 },
+ { .x = +2.60000, .y = -0.15000, .z = +0.00000 },
+ { .x = +2.60000, .y = -0.15000, .z = -0.66000 },
+ { .x = +3.10000, .y = -0.75000, .z = -0.66000 },
+ { .x = +3.10000, .y = -0.75000, .z = +0.00000 },
+ { .x = +2.30000, .y = +0.52500, .z = +0.00000 },
+ { .x = +2.30000, .y = +0.52500, .z = -0.25000 },
+ { .x = +2.40000, .y = +0.45000, .z = -0.25000 },
+ { .x = +2.40000, .y = +0.45000, .z = +0.00000 },
+ { .x = +2.70000, .y = +0.82500, .z = +0.00000 },
+ { .x = +2.70000, .y = +0.82500, .z = -0.25000 },
+ { .x = +3.30000, .y = +0.82500, .z = -0.25000 },
+ { .x = +3.30000, .y = +0.82500, .z = +0.00000 },
+ { .x = +2.80000, .y = +0.90000, .z = +0.00000 },
+ { .x = +2.80000, .y = +0.90000, .z = -0.25000 },
+ { .x = +3.52500, .y = +0.91875, .z = -0.25000 },
+ { .x = +3.52500, .y = +0.91875, .z = +0.00000 },
+ { .x = +2.90000, .y = +0.90000, .z = +0.00000 },
+ { .x = +2.90000, .y = +0.90000, .z = -0.15000 },
+ { .x = +3.45000, .y = +0.93750, .z = -0.15000 },
+ { .x = +3.45000, .y = +0.93750, .z = +0.00000 },
+ { .x = +2.80000, .y = +0.82500, .z = +0.00000 },
+ { .x = +2.80000, .y = +0.82500, .z = -0.15000 },
+ { .x = +3.20000, .y = +0.82500, .z = -0.15000 },
+ { .x = +3.20000, .y = +0.82500, .z = +0.00000 },
+ { .x = +0.00000, .y = +1.57500, .z = +0.00000 },
+ { .x = +0.80000, .y = +1.57500, .z = +0.00000 },
+ { .x = +0.80000, .y = +1.57500, .z = -0.45000 },
+ { .x = +0.45000, .y = +1.57500, .z = -0.80000 },
+ { .x = +0.00000, .y = +1.57500, .z = -0.80000 },
+ { .x = +0.00000, .y = +1.27500, .z = +0.00000 },
+ { .x = +1.40000, .y = +0.82500, .z = +0.00000 },
+ { .x = +1.40000, .y = +0.82500, .z = -0.78400 },
+ { .x = +0.78400, .y = +0.82500, .z = -1.40000 },
+ { .x = +0.00000, .y = +0.82500, .z = -1.40000 },
+ { .x = +0.40000, .y = +0.97500, .z = +0.00000 },
+ { .x = +0.40000, .y = +0.97500, .z = -0.22400 },
+ { .x = +0.22400, .y = +0.97500, .z = -0.40000 },
+ { .x = +0.00000, .y = +0.97500, .z = -0.40000 },
+ { .x = +1.30000, .y = +0.97500, .z = +0.00000 },
+ { .x = +1.30000, .y = +0.97500, .z = -0.72800 },
+ { .x = +0.72800, .y = +0.97500, .z = -1.30000 },
+ { .x = +0.00000, .y = +0.97500, .z = -1.30000 },
+ { .x = +1.30000, .y = +0.82500, .z = +0.00000 },
+ { .x = +1.30000, .y = +0.82500, .z = -0.72800 },
+ { .x = +0.72800, .y = +0.82500, .z = -1.30000 },
+ { .x = +0.00000, .y = +0.82500, .z = -1.30000 },
+ { .x = +0.00000, .y = -1.57500, .z = +0.00000 },
+ { .x = +1.42500, .y = -1.57500, .z = -0.79800 },
+ { .x = +1.50000, .y = -1.50000, .z = +0.00000 },
+ { .x = +1.42500, .y = -1.57500, .z = +0.00000 },
+ { .x = +0.79800, .y = -1.57500, .z = -1.42500 },
+ { .x = +0.00000, .y = -1.50000, .z = -1.50000 },
+ { .x = +0.00000, .y = -1.57500, .z = -1.42500 },
+ { .x = +1.50000, .y = -1.50000, .z = -0.84000 },
+ { .x = +0.84000, .y = -1.50000, .z = -1.50000 },
+};
+
+#define DMNSN_BEZIER_RESOLUTION 8
+
+#define DMNSN_TEAPOT_NTRIANGLES \
+ (32*2*DMNSN_BEZIER_RESOLUTION*DMNSN_BEZIER_RESOLUTION)
+
+dmnsn_vector dmnsn_teapot_triangles[DMNSN_TEAPOT_NTRIANGLES][6];
+
+static inline double
+dmnsn_Bernstein_value(size_t i, double x)
+{
+ switch (i) {
+ case 0:
+ return (1 - x)*(1 - x)*(1 - x);
+ case 1:
+ return 3.0*x*(1 - x)*(1 - x);
+ case 2:
+ return 3.0*x*x*(1 - x);
+ case 3:
+ return x*x*x;
+ default:
+ dmnsn_unreachable("Wrong Bernstein index.");
+ }
+}
+
+static inline double
+dmnsn_Bernstein_prime(size_t i, double x)
+{
+ switch (i) {
+ case 0:
+ return -3.0*(1 - x)*(1 - x);
+ case 1:
+ return 3.0*(1 - x)*(1 - x) - 6.0*x*(1 - x);
+ case 2:
+ return 6.0*x*(1 - x) - 3.0*x*x;
+ case 3:
+ return 3.0*x*x;
+ default:
+ dmnsn_unreachable("Wrong Bernstein index.");
+ }
+}
+
+static inline dmnsn_vector
+dmnsn_bezier_patch_point(const dmnsn_vector control_points[16],
+ double u, double v)
+{
+ dmnsn_vector r = dmnsn_zero;
+ for (size_t i = 0; i < 4; ++i) {
+ for (size_t j = 0; j < 4; ++j) {
+ r = dmnsn_vector_add(
+ r,
+ dmnsn_vector_mul(
+ dmnsn_Bernstein_value(i, u)*dmnsn_Bernstein_value(j, v),
+ control_points[4*j + i]
+ )
+ );
+ }
+ }
+ return r;
+}
+
+static inline dmnsn_vector
+dmnsn_bezier_patch_normal(const dmnsn_vector control_points[16],
+ double u, double v)
+{
+ dmnsn_vector nu = dmnsn_zero, nv = dmnsn_zero;
+ for (size_t i = 0; i < 4; ++i) {
+ for (size_t j = 0; j < 4; ++j) {
+ nu = dmnsn_vector_add(
+ nu,
+ dmnsn_vector_mul(
+ dmnsn_Bernstein_prime(i, u)*dmnsn_Bernstein_value(j, v),
+ control_points[4*j + i]
+ )
+ );
+
+ nv = dmnsn_vector_add(
+ nv,
+ dmnsn_vector_mul(
+ dmnsn_Bernstein_value(i, u)*dmnsn_Bernstein_prime(j, v),
+ control_points[4*j + i]
+ )
+ );
+ }
+ }
+
+ dmnsn_vector n = dmnsn_vector_cross(nu, nv);
+ if (dmnsn_vector_norm(n) < dmnsn_epsilon) {
+ printf("%g\t%g\t" DMNSN_VECTOR_FORMAT "\t" DMNSN_VECTOR_FORMAT "\n",
+ u, v, DMNSN_VECTOR_PRINTF(nu), DMNSN_VECTOR_PRINTF(nv));
+ for (size_t i = 0; i < 16; ++i) {
+ printf("\t" DMNSN_VECTOR_FORMAT "\n", DMNSN_VECTOR_PRINTF(control_points[i]));
+ }
+ nu = dmnsn_zero;
+ for (size_t i = 0; i < 4; ++i) {
+ for (size_t j = 0; j < 4; ++j) {
+ nu = dmnsn_vector_add(
+ nu,
+ dmnsn_vector_mul(
+ dmnsn_Bernstein_prime(i, u)*dmnsn_Bernstein_value(j, v),
+ control_points[4*j + i]
+ )
+ );
+ if (dmnsn_vector_norm(dmnsn_vector_mul(
+ dmnsn_Bernstein_prime(i, u)*dmnsn_Bernstein_value(j, v),
+ control_points[4*j + i]
+ )) > dmnsn_epsilon)
+ printf(DMNSN_VECTOR_FORMAT "\n", DMNSN_VECTOR_PRINTF(dmnsn_vector_mul(
+ dmnsn_Bernstein_prime(i, u)*dmnsn_Bernstein_value(j, v),
+ control_points[4*j + i]
+ )));
+ }
+ }
+ dmnsn_assert(false, "asdf.");
+ }
+ return n;
+}
+
+static size_t
+dmnsn_mirror_last_triangle(size_t i, bool mirror_x)
+{
+ return i;
+ for (size_t j = 0; j < 6; ++j) {
+ dmnsn_vector v = dmnsn_teapot_triangles[i - 1][j];
+ if (mirror_x) {
+ v.x = -v.x;
+ } else {
+ v.z = -v.z;
+ }
+
+ dmnsn_teapot_triangles[i][j] = v;
+ }
+
+ return i + 1;
+}
+
+static size_t
+dmnsn_subdivide_patch(const size_t indicies[16], size_t i,
+ bool mirror_x)
+{
+ dmnsn_vector control_points[16];
+ for (size_t j = 0; j < 16; ++j) {
+ control_points[j] = dmnsn_teapot_verticies[indicies[j]];
+ }
+
+ dmnsn_vector lastrowr[DMNSN_BEZIER_RESOLUTION + 1];
+ dmnsn_vector lastrown[DMNSN_BEZIER_RESOLUTION + 1];
+ for (size_t k = 0; k <= DMNSN_BEZIER_RESOLUTION; ++k) {
+ lastrowr[k] = dmnsn_bezier_patch_point(
+ control_points, 0.0, (double)k/DMNSN_BEZIER_RESOLUTION
+ );
+ lastrown[k] = dmnsn_bezier_patch_normal(
+ control_points, 0.0, (double)k/DMNSN_BEZIER_RESOLUTION
+ );
+ }
+
+ dmnsn_vector ar, an, dr, dn;
+ for (size_t j = 1; j <= DMNSN_BEZIER_RESOLUTION; ++j) {
+ ar = lastrowr[0];
+ an = lastrown[0];
+ dr = dmnsn_bezier_patch_point(
+ control_points, (double)j/DMNSN_BEZIER_RESOLUTION, 0.0
+ );
+ dn = dmnsn_bezier_patch_normal(
+ control_points, (double)j/DMNSN_BEZIER_RESOLUTION, 0.0
+ );
+ lastrowr[0] = dr;
+ lastrown[0] = dn;
+
+ for (size_t k = 1; k <= DMNSN_BEZIER_RESOLUTION; ++k) {
+ dmnsn_vector br = lastrowr[k];
+ dmnsn_vector bn = lastrown[k];
+ dmnsn_vector cr = dmnsn_bezier_patch_point(
+ control_points,
+ (double)j/DMNSN_BEZIER_RESOLUTION, (double)k/DMNSN_BEZIER_RESOLUTION
+ );
+ dmnsn_vector cn = dmnsn_bezier_patch_normal(
+ control_points,
+ (double)j/DMNSN_BEZIER_RESOLUTION, (double)k/DMNSN_BEZIER_RESOLUTION
+ );
+
+ dmnsn_teapot_triangles[i][0] = ar;
+ dmnsn_teapot_triangles[i][1] = br;
+ dmnsn_teapot_triangles[i][2] = cr;
+ dmnsn_teapot_triangles[i][3] = an;
+ dmnsn_teapot_triangles[i][4] = bn;
+ dmnsn_teapot_triangles[i][5] = cn;
+ ++i;
+ i = dmnsn_mirror_last_triangle(i, false);
+ if (mirror_x) {
+ i = dmnsn_mirror_last_triangle(i, true);
+ i = dmnsn_mirror_last_triangle(i, false);
+ }
+
+ dmnsn_teapot_triangles[i][0] = cr;
+ dmnsn_teapot_triangles[i][1] = dr;
+ dmnsn_teapot_triangles[i][2] = ar;
+ dmnsn_teapot_triangles[i][3] = cn;
+ dmnsn_teapot_triangles[i][4] = dn;
+ dmnsn_teapot_triangles[i][5] = an;
+ ++i;
+ i = dmnsn_mirror_last_triangle(i, false);
+ if (mirror_x) {
+ i = dmnsn_mirror_last_triangle(i, true);
+ i = dmnsn_mirror_last_triangle(i, false);
+ }
+
+ ar = br;
+ an = bn;
+ dr = cr;
+ dn = cn;
+ lastrowr[k] = dr;
+ lastrown[k] = dn;
+ }
+ }
+
+ return i;
+}
+
+static const size_t dmnsn_teapot_rim[16] = {
+ 102, 103, 104, 105, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15
+};
+static const size_t dmnsn_teapot_body1[16] = {
+ 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27
+};
+static const size_t dmnsn_teapot_body2[16] = {
+ 24, 25, 26, 27, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40
+};
+static const size_t dmnsn_teapot_lid1[16] = {
+ 96, 96, 96, 96, 97, 98, 99, 100, 101, 101, 101, 101, 0, 1, 2, 3
+};
+static const size_t dmnsn_teapot_lid2[16] = {
+ 0, 1, 2, 3, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117
+};
+static const size_t dmnsn_teapot_bottom[16] = {
+ 118, 118, 118, 118, 124, 122, 119, 121, 123, 126, 125, 120, 40, 39, 38, 37
+};
+static const size_t dmnsn_teapot_handle1[16] = {
+ 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56
+};
+static const size_t dmnsn_teapot_handle2[16] = {
+ 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 28, 65, 66, 67
+};
+static const size_t dmnsn_teapot_spout1[16] = {
+ 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83
+};
+static const size_t dmnsn_teapot_spout2[16] = {
+ 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95
+};
+
+static void
+dmnsn_teapot_calculate(void)
+{
+ size_t i = 0;
+ i = dmnsn_subdivide_patch(dmnsn_teapot_rim, i, true);
+ i = dmnsn_subdivide_patch(dmnsn_teapot_body1, i, true);
+ i = dmnsn_subdivide_patch(dmnsn_teapot_body2, i, true);
+ i = dmnsn_subdivide_patch(dmnsn_teapot_lid1, i, true);
+ i = dmnsn_subdivide_patch(dmnsn_teapot_lid2, i, true);
+ i = dmnsn_subdivide_patch(dmnsn_teapot_bottom, i, true);
+ i = dmnsn_subdivide_patch(dmnsn_teapot_handle1, i, false);
+ i = dmnsn_subdivide_patch(dmnsn_teapot_handle2, i, false);
+ i = dmnsn_subdivide_patch(dmnsn_teapot_spout1, i, false);
+ i = dmnsn_subdivide_patch(dmnsn_teapot_spout2, i, false);
+ //dmnsn_assert(i == DMNSN_TEAPOT_NTRIANGLES, "Wrong number of triangles.");
+}
+
+pthread_mutex_t dmnsn_teapot_mutex = PTHREAD_MUTEX_INITIALIZER;
+
+dmnsn_object *
+dmnsn_new_teapot(void)
+{
+ dmnsn_lock_mutex(&dmnsn_teapot_mutex);
+ static bool verticies_calculated = false;
+ if (!verticies_calculated) {
+ dmnsn_teapot_calculate();
+ verticies_calculated = true;
+ }
+ dmnsn_unlock_mutex(&dmnsn_teapot_mutex);
+
+ dmnsn_array *triangles = dmnsn_new_array(sizeof(dmnsn_object *));
+ for (size_t i = 0; i < DMNSN_TEAPOT_NTRIANGLES; ++i) {
+ dmnsn_vector *vertnorms = dmnsn_teapot_triangles[i];
+ dmnsn_object *triangle = dmnsn_new_triangle(
+ vertnorms[0], vertnorms[1], vertnorms[2],
+ vertnorms[3], vertnorms[4], vertnorms[5]
+ );
+ triangle->texture = dmnsn_new_texture();
+ dmnsn_color randcolor;
+ randcolor.R = drand48();
+ randcolor.G = drand48();
+ randcolor.B = drand48();
+ triangle->texture->pigment = dmnsn_new_solid_pigment(DMNSN_TCOLOR(randcolor));
+ dmnsn_array_push(triangles, &triangle);
+ }
+ dmnsn_object *teapot = dmnsn_new_csg_union(triangles);
+ dmnsn_delete_array(triangles);
+ return teapot;
+}