15821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)/*
25821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles) * Copyright (C) 2007 Apple Inc.  All rights reserved.
35821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles) *
45821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles) * Redistribution and use in source and binary forms, with or without
55821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles) * modification, are permitted provided that the following conditions
65821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles) * are met:
75821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles) * 1. Redistributions of source code must retain the above copyright
85821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles) *    notice, this list of conditions and the following disclaimer.
95821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles) * 2. Redistributions in binary form must reproduce the above copyright
10868fa2fe829687343ffae624259930155e16dbd8Torne (Richard Coles) *    notice, this list of conditions and the following disclaimer in the
115821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles) *    documentation and/or other materials provided with the distribution.
125821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles) *
13868fa2fe829687343ffae624259930155e16dbd8Torne (Richard Coles) * THIS SOFTWARE IS PROVIDED BY APPLE COMPUTER, INC. ``AS IS'' AND ANY
14116680a4aac90f2aa7413d9095a592090648e557Ben Murdoch * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
155821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles) * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
165821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles) * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL APPLE COMPUTER, INC. OR
175821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles) * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
185821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles) * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
195821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles) * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
20116680a4aac90f2aa7413d9095a592090648e557Ben Murdoch * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
21010d83a9304c5a91596085d917d248abff47903aTorne (Richard Coles) * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
225821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles) * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
235821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles) * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
245821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles) */
255f1c94371a64b3196d4be9466099bb892df9b88eTorne (Richard Coles)
265f1c94371a64b3196d4be9466099bb892df9b88eTorne (Richard Coles)function createVector(x,y,z) {
275f1c94371a64b3196d4be9466099bb892df9b88eTorne (Richard Coles)    return new Array(x,y,z);
285f1c94371a64b3196d4be9466099bb892df9b88eTorne (Richard Coles)}
296d86b77056ed63eb6871182f42a9fd5f07550f90Torne (Richard Coles)
306d86b77056ed63eb6871182f42a9fd5f07550f90Torne (Richard Coles)function sqrLengthVector(self) {
31116680a4aac90f2aa7413d9095a592090648e557Ben Murdoch    return self[0] * self[0] + self[1] * self[1] + self[2] * self[2];
326d86b77056ed63eb6871182f42a9fd5f07550f90Torne (Richard Coles)}
336d86b77056ed63eb6871182f42a9fd5f07550f90Torne (Richard Coles)
345821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)function lengthVector(self) {
355821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    return Math.sqrt(self[0] * self[0] + self[1] * self[1] + self[2] * self[2]);
365821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)}
375821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)
385821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)function addVector(self, v) {
395821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    self[0] += v[0];
405821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    self[1] += v[1];
415821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    self[2] += v[2];
425821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    return self;
435821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)}
445821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)
455821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)function subVector(self, v) {
465821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    self[0] -= v[0];
475821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    self[1] -= v[1];
485821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    self[2] -= v[2];
495821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    return self;
505821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)}
515821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)
525821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)function scaleVector(self, scale) {
535821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    self[0] *= scale;
545821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    self[1] *= scale;
555821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    self[2] *= scale;
565821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    return self;
575821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)}
585821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)
595821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)function normaliseVector(self) {
605821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var len = Math.sqrt(self[0] * self[0] + self[1] * self[1] + self[2] * self[2]);
615821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    self[0] /= len;
625821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    self[1] /= len;
635821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    self[2] /= len;
645821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    return self;
655821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)}
665821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)
675821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)function add(v1, v2) {
685821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    return new Array(v1[0] + v2[0], v1[1] + v2[1], v1[2] + v2[2]);
695821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)}
705821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)
715821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)function sub(v1, v2) {
725821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    return new Array(v1[0] - v2[0], v1[1] - v2[1], v1[2] - v2[2]);
735821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)}
745821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)
755821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)function scalev(v1, v2) {
765821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    return new Array(v1[0] * v2[0], v1[1] * v2[1], v1[2] * v2[2]);
775821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)}
785821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)
795821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)function dot(v1, v2) {
80010d83a9304c5a91596085d917d248abff47903aTorne (Richard Coles)    return v1[0] * v2[0] + v1[1] * v2[1] + v1[2] * v2[2];
815821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)}
825821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)
835821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)function scale(v, scale) {
845821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    return [v[0] * scale, v[1] * scale, v[2] * scale];
855821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)}
865821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)
875821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)function cross(v1, v2) {
88eb525c5499e34cc9c4b825d6d9e75bb07cc06aceBen Murdoch    return [v1[1] * v2[2] - v1[2] * v2[1],
89eb525c5499e34cc9c4b825d6d9e75bb07cc06aceBen Murdoch            v1[2] * v2[0] - v1[0] * v2[2],
90010d83a9304c5a91596085d917d248abff47903aTorne (Richard Coles)            v1[0] * v2[1] - v1[1] * v2[0]];
915821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)
925821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)}
935821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)
945821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)function normalise(v) {
955821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var len = lengthVector(v);
965821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    return [v[0] / len, v[1] / len, v[2] / len];
975821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)}
985821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)
995821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)function transformMatrix(self, v) {
1005821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var vals = self;
1015821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var x  = vals[0] * v[0] + vals[1] * v[1] + vals[2] * v[2] + vals[3];
1025821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var y  = vals[4] * v[0] + vals[5] * v[1] + vals[6] * v[2] + vals[7];
1035821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var z  = vals[8] * v[0] + vals[9] * v[1] + vals[10] * v[2] + vals[11];
1046d86b77056ed63eb6871182f42a9fd5f07550f90Torne (Richard Coles)    return [x, y, z];
1056d86b77056ed63eb6871182f42a9fd5f07550f90Torne (Richard Coles)}
1066d86b77056ed63eb6871182f42a9fd5f07550f90Torne (Richard Coles)
1076d86b77056ed63eb6871182f42a9fd5f07550f90Torne (Richard Coles)function invertMatrix(self) {
1086d86b77056ed63eb6871182f42a9fd5f07550f90Torne (Richard Coles)    var temp = new Array(16);
1095821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var tx = -self[3];
1105821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var ty = -self[7];
1115821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var tz = -self[11];
1125821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    for (h = 0; h < 3; h++)
1135821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)        for (v = 0; v < 3; v++)
1145821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)            temp[h + v * 4] = self[v + h * 4];
1155821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    for (i = 0; i < 11; i++)
1165821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)        self[i] = temp[i];
1175821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    self[3] = tx * self[0] + ty * self[1] + tz * self[2];
1182a99a7e74a7f215066514fe81d2bfa6639d9edddTorne (Richard Coles)    self[7] = tx * self[4] + ty * self[5] + tz * self[6];
1195821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    self[11] = tx * self[8] + ty * self[9] + tz * self[10];
1202a99a7e74a7f215066514fe81d2bfa6639d9edddTorne (Richard Coles)    return self;
1212a99a7e74a7f215066514fe81d2bfa6639d9edddTorne (Richard Coles)}
1222a99a7e74a7f215066514fe81d2bfa6639d9edddTorne (Richard Coles)
1232a99a7e74a7f215066514fe81d2bfa6639d9edddTorne (Richard Coles)
1242a99a7e74a7f215066514fe81d2bfa6639d9edddTorne (Richard Coles)// Triangle intersection using barycentric coord method
1256d86b77056ed63eb6871182f42a9fd5f07550f90Torne (Richard Coles)function Triangle(p1, p2, p3) {
1266d86b77056ed63eb6871182f42a9fd5f07550f90Torne (Richard Coles)    var edge1 = sub(p3, p1);
1276d86b77056ed63eb6871182f42a9fd5f07550f90Torne (Richard Coles)    var edge2 = sub(p2, p1);
1286d86b77056ed63eb6871182f42a9fd5f07550f90Torne (Richard Coles)    var normal = cross(edge1, edge2);
1296d86b77056ed63eb6871182f42a9fd5f07550f90Torne (Richard Coles)    if (Math.abs(normal[0]) > Math.abs(normal[1]))
1306d86b77056ed63eb6871182f42a9fd5f07550f90Torne (Richard Coles)        if (Math.abs(normal[0]) > Math.abs(normal[2]))
1315821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)            this.axis = 0;
1325821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)        else
1335821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)            this.axis = 2;
1345821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    else
1355821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)        if (Math.abs(normal[1]) > Math.abs(normal[2]))
1365821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)            this.axis = 1;
1375821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)        else
1385821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)            this.axis = 2;
1395821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var u = (this.axis + 1) % 3;
1405821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var v = (this.axis + 2) % 3;
1415821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var u1 = edge1[u];
1425821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var v1 = edge1[v];
1435821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)
1445821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var u2 = edge2[u];
1455821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var v2 = edge2[v];
1465821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    this.normal = normalise(normal);
1475821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    this.nu = normal[u] / normal[this.axis];
1485821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    this.nv = normal[v] / normal[this.axis];
1495821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    this.nd = dot(normal, p1) / normal[this.axis];
1505821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var det = u1 * v2 - v1 * u2;
1515821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    this.eu = p1[u];
1525821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    this.ev = p1[v];
1535821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    this.nu1 = u1 / det;
1545821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    this.nv1 = -v1 / det;
1555821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    this.nu2 = v2 / det;
1565821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    this.nv2 = -u2 / det;
1575821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    this.material = [0.7, 0.7, 0.7];
1585821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)}
1595821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)
1605821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)Triangle.prototype.intersect = function(orig, dir, near, far) {
1615821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var u = (this.axis + 1) % 3;
1625821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var v = (this.axis + 2) % 3;
1635821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var d = dir[this.axis] + this.nu * dir[u] + this.nv * dir[v];
1645821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var t = (this.nd - orig[this.axis] - this.nu * orig[u] - this.nv * orig[v]) / d;
1655821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    if (t < near || t > far)
1665821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)        return null;
1675821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var Pu = orig[u] + t * dir[u] - this.eu;
1685821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var Pv = orig[v] + t * dir[v] - this.ev;
1695821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var a2 = Pv * this.nu1 + Pu * this.nv1;
1706d86b77056ed63eb6871182f42a9fd5f07550f90Torne (Richard Coles)    if (a2 < 0)
1716d86b77056ed63eb6871182f42a9fd5f07550f90Torne (Richard Coles)        return null;
1726d86b77056ed63eb6871182f42a9fd5f07550f90Torne (Richard Coles)    var a3 = Pu * this.nu2 + Pv * this.nv2;
1736d86b77056ed63eb6871182f42a9fd5f07550f90Torne (Richard Coles)    if (a3 < 0)
1746d86b77056ed63eb6871182f42a9fd5f07550f90Torne (Richard Coles)        return null;
1756d86b77056ed63eb6871182f42a9fd5f07550f90Torne (Richard Coles)
1766d86b77056ed63eb6871182f42a9fd5f07550f90Torne (Richard Coles)    if ((a2 + a3) > 1)
1775821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)        return null;
1785821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    return t;
1795821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)}
1805821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)
1815821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)function Scene(a_triangles) {
1825821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    this.triangles = a_triangles;
1835821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    this.lights = [];
1845821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    this.ambient = [0,0,0];
1855821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    this.background = [0.8,0.8,1];
1865821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)}
1875821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)var zero = new Array(0,0,0);
1885821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)
1895821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)Scene.prototype.intersect = function(origin, dir, near, far) {
1905821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var closest = null;
1915821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    for (i = 0; i < this.triangles.length; i++) {
1925821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)        var triangle = this.triangles[i];
1935821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)        var d = triangle.intersect(origin, dir, near, far);
1945821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)        if (d == null || d > far || d < near)
1955821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)            continue;
1965821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)        far = d;
1975821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)        closest = triangle;
1985821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    }
1995821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)
2005821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    if (!closest)
2015821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)        return [this.background[0],this.background[1],this.background[2]];
2025821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)
2035821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var normal = closest.normal;
2045821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var hit = add(origin, scale(dir, far));
2055821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    if (dot(dir, normal) > 0)
2065821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)        normal = [-normal[0], -normal[1], -normal[2]];
2075821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)
208f2477e01787aa58f445919b809d89e252beef54fTorne (Richard Coles)    var colour = null;
209f2477e01787aa58f445919b809d89e252beef54fTorne (Richard Coles)    if (closest.shader) {
2105821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)        colour = closest.shader(closest, hit, dir);
2115821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    } else {
2125821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)        colour = closest.material;
2135821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    }
2145821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)
2155821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    // do reflection
2165821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var reflected = null;
2175821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    if (colour.reflection > 0.001) {
2185821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)        var reflection = addVector(scale(normal, -2*dot(dir, normal)), dir);
2195821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)        reflected = this.intersect(hit, reflection, 0.0001, 1000000);
2205821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)        if (colour.reflection >= 0.999999)
2215821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)            return reflected;
222c2e0dbddbe15c98d52c4786dac06cb8952a8ae6dTorne (Richard Coles)    }
2235821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)
2245821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var l = [this.ambient[0], this.ambient[1], this.ambient[2]];
2255821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    for (var i = 0; i < this.lights.length; i++) {
2265821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)        var light = this.lights[i];
2275821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)        var toLight = sub(light, hit);
2285821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)        var distance = lengthVector(toLight);
2295821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)        scaleVector(toLight, 1.0/distance);
2305821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)        distance -= 0.0001;
2315821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)        if (this.blocked(hit, toLight, distance))
2325821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)            continue;
2335821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)        var nl = dot(normal, toLight);
2345821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)        if (nl > 0)
2355821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)            addVector(l, scale(light.colour, nl));
2365821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    }
2375821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    l = scalev(l, colour);
23890dce4d38c5ff5333bea97d859d4e484e27edf0cTorne (Richard Coles)    if (reflected) {
23990dce4d38c5ff5333bea97d859d4e484e27edf0cTorne (Richard Coles)        l = addVector(scaleVector(l, 1 - colour.reflection), scaleVector(reflected, colour.reflection));
2405821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    }
2415821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    return l;
2425821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)}
2435821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)
2445821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)Scene.prototype.blocked = function(O, D, far) {
2455821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var near = 0.0001;
2465821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var closest = null;
247f2477e01787aa58f445919b809d89e252beef54fTorne (Richard Coles)    for (i = 0; i < this.triangles.length; i++) {
248f2477e01787aa58f445919b809d89e252beef54fTorne (Richard Coles)        var triangle = this.triangles[i];
249010d83a9304c5a91596085d917d248abff47903aTorne (Richard Coles)        var d = triangle.intersect(O, D, near, far);
250f2477e01787aa58f445919b809d89e252beef54fTorne (Richard Coles)        if (d == null || d > far || d < near)
251f2477e01787aa58f445919b809d89e252beef54fTorne (Richard Coles)            continue;
252f2477e01787aa58f445919b809d89e252beef54fTorne (Richard Coles)        return true;
253f2477e01787aa58f445919b809d89e252beef54fTorne (Richard Coles)    }
2545821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)
2555821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    return false;
2565821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)}
2575821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)
2585821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)
2595821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)// this camera code is from notes i made ages ago, it is from *somewhere* -- i cannot remember where
2605d1f7b1de12d16ceb2c938c56701a3e8bfa558f7Torne (Richard Coles)// that somewhere is
2615d1f7b1de12d16ceb2c938c56701a3e8bfa558f7Torne (Richard Coles)function Camera(origin, lookat, up) {
2625d1f7b1de12d16ceb2c938c56701a3e8bfa558f7Torne (Richard Coles)    var zaxis = normaliseVector(subVector(lookat, origin));
263116680a4aac90f2aa7413d9095a592090648e557Ben Murdoch    var xaxis = normaliseVector(cross(up, zaxis));
264116680a4aac90f2aa7413d9095a592090648e557Ben Murdoch    var yaxis = normaliseVector(cross(xaxis, subVector([0,0,0], zaxis)));
2655f1c94371a64b3196d4be9466099bb892df9b88eTorne (Richard Coles)    var m = new Array(16);
2665f1c94371a64b3196d4be9466099bb892df9b88eTorne (Richard Coles)    m[0] = xaxis[0]; m[1] = xaxis[1]; m[2] = xaxis[2];
267116680a4aac90f2aa7413d9095a592090648e557Ben Murdoch    m[4] = yaxis[0]; m[5] = yaxis[1]; m[6] = yaxis[2];
2685f1c94371a64b3196d4be9466099bb892df9b88eTorne (Richard Coles)    m[8] = zaxis[0]; m[9] = zaxis[1]; m[10] = zaxis[2];
2695f1c94371a64b3196d4be9466099bb892df9b88eTorne (Richard Coles)    invertMatrix(m);
2705f1c94371a64b3196d4be9466099bb892df9b88eTorne (Richard Coles)    m[3] = 0; m[7] = 0; m[11] = 0;
2715f1c94371a64b3196d4be9466099bb892df9b88eTorne (Richard Coles)    this.origin = origin;
2725f1c94371a64b3196d4be9466099bb892df9b88eTorne (Richard Coles)    this.directions = new Array(4);
2736e8cce623b6e4fe0c9e4af605d675dd9d0338c38Torne (Richard Coles)    this.directions[0] = normalise([-0.7,  0.7, 1]);
2746e8cce623b6e4fe0c9e4af605d675dd9d0338c38Torne (Richard Coles)    this.directions[1] = normalise([ 0.7,  0.7, 1]);
275116680a4aac90f2aa7413d9095a592090648e557Ben Murdoch    this.directions[2] = normalise([ 0.7, -0.7, 1]);
276116680a4aac90f2aa7413d9095a592090648e557Ben Murdoch    this.directions[3] = normalise([-0.7, -0.7, 1]);
277116680a4aac90f2aa7413d9095a592090648e557Ben Murdoch    this.directions[0] = transformMatrix(m, this.directions[0]);
278116680a4aac90f2aa7413d9095a592090648e557Ben Murdoch    this.directions[1] = transformMatrix(m, this.directions[1]);
2792a99a7e74a7f215066514fe81d2bfa6639d9edddTorne (Richard Coles)    this.directions[2] = transformMatrix(m, this.directions[2]);
2805d1f7b1de12d16ceb2c938c56701a3e8bfa558f7Torne (Richard Coles)    this.directions[3] = transformMatrix(m, this.directions[3]);
2812a99a7e74a7f215066514fe81d2bfa6639d9edddTorne (Richard Coles)}
2825821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)
2835821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)Camera.prototype.generateRayPair = function(y) {
2842a99a7e74a7f215066514fe81d2bfa6639d9edddTorne (Richard Coles)    rays = new Array(new Object(), new Object());
2852a99a7e74a7f215066514fe81d2bfa6639d9edddTorne (Richard Coles)    rays[0].origin = this.origin;
2862a99a7e74a7f215066514fe81d2bfa6639d9edddTorne (Richard Coles)    rays[1].origin = this.origin;
287010d83a9304c5a91596085d917d248abff47903aTorne (Richard Coles)    rays[0].dir = addVector(scale(this.directions[0], y), scale(this.directions[3], 1 - y));
2885821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    rays[1].dir = addVector(scale(this.directions[1], y), scale(this.directions[2], 1 - y));
2895821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    return rays;
2905821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)}
2915821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)
2925821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)function renderRows(camera, scene, pixels, width, height, starty, stopy) {
2935821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    for (var y = starty; y < stopy; y++) {
2945d1f7b1de12d16ceb2c938c56701a3e8bfa558f7Torne (Richard Coles)        var rays = camera.generateRayPair(y / height);
2955d1f7b1de12d16ceb2c938c56701a3e8bfa558f7Torne (Richard Coles)        for (var x = 0; x < width; x++) {
2965d1f7b1de12d16ceb2c938c56701a3e8bfa558f7Torne (Richard Coles)            var xp = x / width;
2975d1f7b1de12d16ceb2c938c56701a3e8bfa558f7Torne (Richard Coles)            var origin = addVector(scale(rays[0].origin, xp), scale(rays[1].origin, 1 - xp));
2985d1f7b1de12d16ceb2c938c56701a3e8bfa558f7Torne (Richard Coles)            var dir = normaliseVector(addVector(scale(rays[0].dir, xp), scale(rays[1].dir, 1 - xp)));
2995d1f7b1de12d16ceb2c938c56701a3e8bfa558f7Torne (Richard Coles)            var l = scene.intersect(origin, dir);
3005d1f7b1de12d16ceb2c938c56701a3e8bfa558f7Torne (Richard Coles)            pixels[y][x] = l;
3015821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)        }
3025d1f7b1de12d16ceb2c938c56701a3e8bfa558f7Torne (Richard Coles)    }
3037dbb3d5cf0c15f500944d211057644d6a2f37371Ben Murdoch}
3045821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)
3055821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)Camera.prototype.render = function(scene, pixels, width, height) {
3065d1f7b1de12d16ceb2c938c56701a3e8bfa558f7Torne (Richard Coles)    var cam = this;
3075d1f7b1de12d16ceb2c938c56701a3e8bfa558f7Torne (Richard Coles)    var row = 0;
3085d1f7b1de12d16ceb2c938c56701a3e8bfa558f7Torne (Richard Coles)    renderRows(cam, scene, pixels, width, height, 0, height);
3095d1f7b1de12d16ceb2c938c56701a3e8bfa558f7Torne (Richard Coles)}
3105d1f7b1de12d16ceb2c938c56701a3e8bfa558f7Torne (Richard Coles)
311868fa2fe829687343ffae624259930155e16dbd8Torne (Richard Coles)
312c2e0dbddbe15c98d52c4786dac06cb8952a8ae6dTorne (Richard Coles)
313c2e0dbddbe15c98d52c4786dac06cb8952a8ae6dTorne (Richard Coles)function raytraceScene()
3145821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles){
3155821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var startDate = new Date().getTime();
3165821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var numTriangles = 2 * 6;
3175821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var triangles = new Array();//numTriangles);
3185d1f7b1de12d16ceb2c938c56701a3e8bfa558f7Torne (Richard Coles)    var tfl = createVector(-10,  10, -10);
3195d1f7b1de12d16ceb2c938c56701a3e8bfa558f7Torne (Richard Coles)    var tfr = createVector( 10,  10, -10);
3205d1f7b1de12d16ceb2c938c56701a3e8bfa558f7Torne (Richard Coles)    var tbl = createVector(-10,  10,  10);
3212a99a7e74a7f215066514fe81d2bfa6639d9edddTorne (Richard Coles)    var tbr = createVector( 10,  10,  10);
3225d1f7b1de12d16ceb2c938c56701a3e8bfa558f7Torne (Richard Coles)    var bfl = createVector(-10, -10, -10);
3232a99a7e74a7f215066514fe81d2bfa6639d9edddTorne (Richard Coles)    var bfr = createVector( 10, -10, -10);
3245d1f7b1de12d16ceb2c938c56701a3e8bfa558f7Torne (Richard Coles)    var bbl = createVector(-10, -10,  10);
3255821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var bbr = createVector( 10, -10,  10);
3262a99a7e74a7f215066514fe81d2bfa6639d9edddTorne (Richard Coles)
3272a99a7e74a7f215066514fe81d2bfa6639d9edddTorne (Richard Coles)    // cube!!!
3282a99a7e74a7f215066514fe81d2bfa6639d9edddTorne (Richard Coles)    // front
329010d83a9304c5a91596085d917d248abff47903aTorne (Richard Coles)    var i = 0;
3305821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)
3315821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    triangles[i++] = new Triangle(tfl, tfr, bfr);
3325821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    triangles[i++] = new Triangle(tfl, bfr, bfl);
3335821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    // back
3345821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    triangles[i++] = new Triangle(tbl, tbr, bbr);
3355821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    triangles[i++] = new Triangle(tbl, bbr, bbl);
3365d1f7b1de12d16ceb2c938c56701a3e8bfa558f7Torne (Richard Coles)    //        triangles[i-1].material = [0.7,0.2,0.2];
3375d1f7b1de12d16ceb2c938c56701a3e8bfa558f7Torne (Richard Coles)    //            triangles[i-1].material.reflection = 0.8;
3385d1f7b1de12d16ceb2c938c56701a3e8bfa558f7Torne (Richard Coles)    // left
3395d1f7b1de12d16ceb2c938c56701a3e8bfa558f7Torne (Richard Coles)    triangles[i++] = new Triangle(tbl, tfl, bbl);
3405d1f7b1de12d16ceb2c938c56701a3e8bfa558f7Torne (Richard Coles)    //            triangles[i-1].reflection = 0.6;
3415d1f7b1de12d16ceb2c938c56701a3e8bfa558f7Torne (Richard Coles)    triangles[i++] = new Triangle(tfl, bfl, bbl);
3425d1f7b1de12d16ceb2c938c56701a3e8bfa558f7Torne (Richard Coles)    //            triangles[i-1].reflection = 0.6;
3435821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    // right
3445d1f7b1de12d16ceb2c938c56701a3e8bfa558f7Torne (Richard Coles)    triangles[i++] = new Triangle(tbr, tfr, bbr);
3457dbb3d5cf0c15f500944d211057644d6a2f37371Ben Murdoch    triangles[i++] = new Triangle(tfr, bfr, bbr);
3465821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    // top
3475821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    triangles[i++] = new Triangle(tbl, tbr, tfr);
3485821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    triangles[i++] = new Triangle(tbl, tfr, tfl);
3495821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    // bottom
3505821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    triangles[i++] = new Triangle(bbl, bbr, bfr);
3515821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    triangles[i++] = new Triangle(bbl, bfr, bfl);
352010d83a9304c5a91596085d917d248abff47903aTorne (Richard Coles)
3535821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    //Floor!!!!
3545821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var green = createVector(0.0, 0.4, 0.0);
3555821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var grey = createVector(0.4, 0.4, 0.4);
3565821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    grey.reflection = 1.0;
3575821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var floorShader = function(tri, pos, view) {
3585821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)        var x = ((pos[0]/32) % 2 + 2) % 2;
3595821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)        var z = ((pos[2]/32 + 0.3) % 2 + 2) % 2;
3605821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)        if (x < 1 != z < 1) {
3615821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)            //in the real world we use the fresnel term...
362010d83a9304c5a91596085d917d248abff47903aTorne (Richard Coles)            //    var angle = 1-dot(view, tri.normal);
3635821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)            //   angle *= angle;
3645821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)            //  angle *= angle;
3655821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)            // angle *= angle;
3662a99a7e74a7f215066514fe81d2bfa6639d9edddTorne (Richard Coles)            //grey.reflection = angle;
3675821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)            return grey;
3685821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)        } else
3695821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)            return green;
3705821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    }
3715821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var ffl = createVector(-1000, -30, -1000);
3725821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var ffr = createVector( 1000, -30, -1000);
3735821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var fbl = createVector(-1000, -30,  1000);
3745821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    var fbr = createVector( 1000, -30,  1000);
3755821806d5e7f356e8fa4b058a389a808ea183019Torne (Richard Coles)    triangles[i++] = new Triangle(fbl, fbr, ffr);
376    triangles[i-1].shader = floorShader;
377    triangles[i++] = new Triangle(fbl, ffr, ffl);
378    triangles[i-1].shader = floorShader;
379
380    var _scene = new Scene(triangles);
381    _scene.lights[0] = createVector(20, 38, -22);
382    _scene.lights[0].colour = createVector(0.7, 0.3, 0.3);
383    _scene.lights[1] = createVector(-23, 40, 17);
384    _scene.lights[1].colour = createVector(0.7, 0.3, 0.3);
385    _scene.lights[2] = createVector(23, 20, 17);
386    _scene.lights[2].colour = createVector(0.7, 0.7, 0.7);
387    _scene.ambient = createVector(0.1, 0.1, 0.1);
388    //  _scene.background = createVector(0.7, 0.7, 1.0);
389
390    var size = 30;
391    var pixels = new Array();
392    for (var y = 0; y < size; y++) {
393        pixels[y] = new Array();
394        for (var x = 0; x < size; x++) {
395            pixels[y][x] = 0;
396        }
397    }
398
399    var _camera = new Camera(createVector(-40, 40, 40), createVector(0, 0, 0), createVector(0, 1, 0));
400    _camera.render(_scene, pixels, size, size);
401
402    return pixels;
403}
404
405function arrayToCanvasCommands(pixels)
406{
407    var s = '<canvas id="renderCanvas" width="30px" height="30px"></canvas><scr' + 'ipt>\nvar pixels = [';
408    var size = 30;
409    for (var y = 0; y < size; y++) {
410        s += "[";
411        for (var x = 0; x < size; x++) {
412            s += "[" + pixels[y][x] + "],";
413        }
414        s+= "],";
415    }
416    s += '];\n    var canvas = document.getElementById("renderCanvas").getContext("2d");\n\
417\n\
418\n\
419    var size = 30;\n\
420    canvas.fillStyle = "red";\n\
421    canvas.fillRect(0, 0, size, size);\n\
422    canvas.scale(1, -1);\n\
423    canvas.translate(0, -size);\n\
424\n\
425    if (!canvas.setFillColor)\n\
426        canvas.setFillColor = function(r, g, b, a) {\n\
427            this.fillStyle = "rgb("+[Math.floor(r * 255), Math.floor(g * 255), Math.floor(b * 255)]+")";\n\
428    }\n\
429\n\
430for (var y = 0; y < size; y++) {\n\
431  for (var x = 0; x < size; x++) {\n\
432    var l = pixels[y][x];\n\
433    canvas.setFillColor(l[0], l[1], l[2], 1);\n\
434    canvas.fillRect(x, y, 1, 1);\n\
435  }\n\
436}</scr' + 'ipt>';
437
438    return s;
439}
440
441testOutput = arrayToCanvasCommands(raytraceScene());
442