diff options
| -rw-r--r-- | dimension/tests/Makefile.am | 3 | ||||
| -rw-r--r-- | dimension/tests/cube.dmnsn | 14 | ||||
| -rw-r--r-- | dimension/tests/teapot.dmnsn | 230 | ||||
| -rw-r--r-- | libdimension-python/dimension.pxd | 1 | ||||
| -rw-r--r-- | libdimension-python/dimension.pyx | 9 | ||||
| -rw-r--r-- | libdimension/Makefile.am | 1 | ||||
| -rw-r--r-- | libdimension/dimension/objects.h | 6 | ||||
| -rw-r--r-- | libdimension/teapot.c | 455 |
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; +} |