/* Copyright (c) 2016 saharan * * Permission is hereby granted, free of charge, to any person obtaining a copy of this * software and associated documentation * files (the "Software"), to deal in the Software * without restriction, including without limitation the rights to use, copy, * modify, merge, * publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to * whom the Software is furnished to do so, subject to the following conditions: * * The above copyright notice and this permission notice shall be included in all copies or * substantial portions of the Software. * * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, * INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR * PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR * ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, * ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE * SOFTWARE. */ package{ import com.element.oimo.ogsl.OGSL; import flash.display.Bitmap; import flash.display.BitmapData; import flash.display.Sprite; import flash.display.Stage3D; import flash.display3D.Context3D; import flash.display3D.Context3DProfile; import flash.display3D.Context3DRenderMode; import flash.events.Event; import flash.events.KeyboardEvent; import flash.events.MouseEvent; import flash.ui.Keyboard; import net.hires.debug.Stats; /** * Elastic Body Simulation * @author saharan */ [SWF(width = "640", height = "480", frameRate = "60")] public class Elastic extends Sprite { private var s3d:Stage3D; private var gl:ShrGL; private const WIDTH:int = 640; private const HEIGHT:int = 480; private var buffer:Mat44; private var scene:Scene; private var w:World; private var count:int; private var l:Boolean; private var r:Boolean; private var u:Boolean; private var d:Boolean; private var space:Boolean; private var pspace:Boolean; private var renderAsMesh:Boolean = true; private var meshes:Vector.; private var numM:int; private var pressed:Boolean; private var pmouseX:Number; private var pmouseY:Number; private var theta:Number; private var targetTheta:Number; private var cameraY:Number; private var targetCameraY:Number; [Embed(source = "./dot.gif")] // http://el-ement.com/blog/wp-content/uploads/elastic-body-simulation-dot.gif private static var DOT:Class; private var dot:BitmapData = Bitmap(new DOT()).bitmapData; private const DOT_SIZE_W:int = 16; private const DOT_SIZE_H:int = 8; private const GROUND_PLANE_MESH:int = 0; private const SPHERE_MESH:int = 1; private const BOX_MESH:int = 2; private const TORUS_MESH:int = 3; private const TEAPOT_MESH:int = 4; private const CYLINDER_MESH:int = 5; public static const RADIUS:int = 16; public function Elastic() { if (stage) init(); else addEventListener(Event.ADDED_TO_STAGE, init); } private function init(e:Event = null):void { removeEventListener(Event.ADDED_TO_STAGE, init); var s:Stats = new Stats(); addChild(s); s.x = -s.width; s3d = stage.stage3Ds[0]; s3d.addEventListener(Event.CONTEXT3D_CREATE, initSimulation); s3d.requestContext3D(Context3DRenderMode.AUTO, Context3DProfile.STANDARD_CONSTRAINED); } private function initSimulation(e:Event):void { s3d.context3D.enableErrorChecking = true; gl = new ShrGL(s3d.context3D, WIDTH, HEIGHT); cameraY = 0; theta = 0; targetTheta = 0; targetCameraY = 0; pmouseX = 0; pmouseY = 0; // scene = new Scene(gl, 0, 400, 600, 0, 1000, 500); // buffer = new Mat44(); meshes = new Vector.(1024, true); // gl.registerBuffer(GROUND_PLANE_MESH, 4, 6, 6); gl.uploadVertexBuffer(GROUND_PLANE_MESH, Vector.([ -400, 0, 400, 0, 1, 0, 400, 0, 400, 0, 1, 0, -400, 0, -400, 0, 1, 0, 400, 0, -400, 0, 1, 0 ])); gl.uploadIndexBuffer(0, Vector.([ 0, 1, 2, 1, 3, 2 ])); createSphere(SPHERE_MESH, 1, 16, 8); createBox(BOX_MESH, 1, 1, 1); createCylinder(CYLINDER_MESH, 16, 1, 1); createTeapot(TEAPOT_MESH); initWorld(); stage.addEventListener(KeyboardEvent.KEY_DOWN, function(e:KeyboardEvent):void { switch (e.keyCode) { case Keyboard.R: initWorld(); break; case Keyboard.SPACE: space = true; break; case Keyboard.A: l = true; break; case Keyboard.D: r = true; break; case Keyboard.W: u = true; break; case Keyboard.S: d = true; break; case Keyboard.M: renderAsMesh = !renderAsMesh; break; } }); stage.addEventListener(KeyboardEvent.KEY_UP, function(e:KeyboardEvent):void { switch (e.keyCode) { case Keyboard.SPACE: space = false; break; case Keyboard.A: l = false; break; case Keyboard.D: r = false; break; case Keyboard.W: u = false; break; case Keyboard.S: d = false; break; } }); stage.addEventListener(MouseEvent.MOUSE_DOWN, function(e:MouseEvent):void { pressed = true; }); stage.addEventListener(MouseEvent.MOUSE_UP, function(e:MouseEvent):void { pressed = false; }); addEventListener(Event.ENTER_FRAME, frame); } private function createTorus(bufferIndex:uint, divV:uint, divH:uint, inRadius:Number, outRadius:Number):void { var vertices:Vector. = new Vector.(); var theta:Number; var phi:Number; var dTheta:Number = Math.PI * 2 / divV; var dPhi:Number = Math.PI * 2 / divH; var numVertices:uint = divH * divV; phi = 0; var m:Mat44 = new Mat44(); var n:Vec3 = new Vec3(); for (var i:int = 0; i < divH; i++) { theta = 0; for (var j:int = 0; j < divV; j++) { m.init(); m.rotate(m, -theta, 0, 1, 0); m.rotate(m, -phi, 0, 0, 1); n.init(0, 1, 0); n.mulMatrix(m, n); vertices.push( Math.cos(theta) * (outRadius + (outRadius - inRadius) * Math.sin(phi)), (outRadius - inRadius) * Math.cos(phi), Math.sin(theta) * (outRadius + (outRadius - inRadius) * Math.sin(phi)), n.x, n.y, n.z ); theta += dTheta; } phi += dPhi; } var indices:Vector. = new Vector.(); for (i = 0; i < divH; i++) { for (j = 0; j < divV; j++) { indices.push( i * divV + j, (i + 1) % divH * divV + (j + 1) % divV, (i + 1) % divH * divV + j, i * divV + j, i % divH * divV + (j + 1) % divV, (i + 1) % divH * divV + (j + 1) % divV ); } } gl.registerBuffer(bufferIndex, numVertices, 6, numVertices * 6); gl.uploadVertexBuffer(bufferIndex, vertices); gl.uploadIndexBuffer(bufferIndex, indices); } private function createCylinder(bufferIndex:uint, div:Number, radius:Number, halfHeight:Number):void { var vertices:Vector. = new Vector.(); var theta:Number; var dTheta:Number = Math.PI * 2 / div; var numVertices:uint = div * 2; theta = 0; for (var i:int = 0; i < div; i++) { vertices.push( radius * Math.cos(theta), -halfHeight, radius * Math.sin(theta), Math.cos(theta), 0, radius * Math.sin(theta) ); vertices.push( radius * Math.cos(theta), halfHeight, radius * Math.sin(theta), Math.cos(theta), 0, radius * Math.sin(theta) ); theta += dTheta; } var indices:Vector. = new Vector.(); for (i = 0; i < div; i++) { indices.push( i * 2, (i * 2 + 1) % (div * 2), (i * 2 + 2) % (div * 2), (i * 2 + 1) % (div * 2), (i * 2 + 3) % (div * 2), (i * 2 + 2) % (div * 2) ); } gl.registerBuffer(bufferIndex, numVertices, 6, indices.length); gl.uploadVertexBuffer(bufferIndex, vertices); gl.uploadIndexBuffer(bufferIndex, indices); } public function createSphere(bufferIndex:uint, radius:Number, divisionH:uint, divisionV:uint):void { var count:uint = 0; var theta:Number; var phi:Number; var dTheta:Number = Math.PI * 2 / divisionH; var dPhi:Number = Math.PI / divisionV; var numVertices:uint = (divisionV + 1) * divisionH - ((divisionH - 1) << 1); var numFaces:uint = (divisionV - 1 << 1) * divisionH; var vtx:Vector. = new Vector.(numVertices * 6, true); vtx[count] = 0; vtx[count + 1] = radius; vtx[count + 2] = 0; vtx[count + 3] = 0; vtx[count + 4] = 1; vtx[count + 5] = 0; count += 6; phi = dPhi; for (var i:int = 1; i < divisionV; i++) { theta = 0; for (var j:int = 0; j < divisionH; j++) { var sp:Number = Math.sin(phi); var cp:Number = Math.cos(phi); var st:Number = Math.sin(theta); var ct:Number = Math.cos(theta); vtx[count] = radius * sp * ct; vtx[count + 1] = radius * cp; vtx[count + 2] = radius * sp * st; vtx[count + 3] = sp * ct; vtx[count + 4] = cp; vtx[count + 5] = sp * st; count += 6; theta += dTheta; } phi += dPhi; } vtx[count] = 0; vtx[count + 1] = -radius; vtx[count + 2] = 0; vtx[count + 3] = 0; vtx[count + 4] = -1; vtx[count + 5] = 0; var idx:Vector. = new Vector.(numFaces * 3, true); count = 0; for (i = 0; i < divisionV; i++) { for (j = 0; j < divisionH; j++) { if (i == 0) { idx[count] = 0; idx[count + 1] = (j + 1) % divisionH + 1; idx[count + 2] = j + 1; count += 3; } else if (i == divisionV - 1) { idx[count] = numVertices - 1; idx[count + 1] = (i - 1) * divisionH + j + 1; idx[count + 2] = (i - 1) * divisionH + (j + 1) % divisionH + 1; count += 3; } else { idx[count] = (i - 1) * divisionH + j + 1; idx[count + 1] = (i - 1) * divisionH + (j + 1) % divisionH + 1; idx[count + 2] = i * divisionH + (j + 1) % divisionH + 1; count += 3; idx[count] = (i - 1) * divisionH + j + 1; idx[count + 1] = i * divisionH + (j + 1) % divisionH + 1; idx[count + 2] = i * divisionH + j + 1; count += 3; } } } gl.registerBuffer(bufferIndex, numVertices, 6, numFaces * 3); gl.uploadVertexBuffer(bufferIndex, vtx); gl.uploadIndexBuffer(bufferIndex, idx); } private function createTeapot(bufferIndex:uint):void { var vertices:Vector. = Vector.([ -45.95854, 25.03232, 2.88832, -0.901883, 0.415418, 0.118168, -46.93523, 23.112709999999993, 2.01943, -0.905637, 0.407056, 0.118656, -44.98702, 25.03232, 10.30342, -0.877041, 0.418744, 0.235298, -67.08382, 20.77928, -5, 0.058443, -0.99826, 0.000732, -57.545829999999995, 21.03514, -5, 0.015107, -0.999878, 0.000183, -57.6335, 21.617369999999994, -0.61287, 0.014557, -0.949278, 0.314035, -67.08382, 20.77928, -5, 0.058443, -0.99826, 0.000732, -57.6335, 21.617369999999994, -0.61287, 0.014557, -0.949278, 0.314035, -67.44, 21.34259, -0.61287, 0.056703, -0.947539, 0.314524, -74.67173, 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1223, 1226, 1285, 1227, 1236, 176, 1228, 1235, 258, 251, 249, 175, 1234, 160, 708, 158, 708, 579, 1249, 909, 911, 426, 1259, 351, 910, 1265, 445, 1250, 908, 1255, 501, 1258, 906, 466, 1262, 1258, 459, 1264, 398, 1256, 1251, 363, 1259, 904, 405, 1264, 1286, 1209, 1266, 1270, 1216, 1273, 1203, 1274, 1223, 1279, 1274, 1218, 1267, 1205, 1277, 1278, 1281, 1279, 1277, 1205, 1280, 1212, 1206, 1221, 1269, 1284, 1215, 1227, 1275, 1207, 1273, 1216, 1222, 236, 1238, 1237, 1289, 208, 1287, 214, 208, 1289]); var mesh:ElasticMesh = new ElasticMesh(gl, bufferIndex, vertices, normals, indices, normalIndices); mesh.initVertices(w); return mesh; } private function createTorusMesh(bufferIndex:int, radius:Number):ElasticMesh { var vertices:Vector. = new Vector.(); var normals:Vector. = new Vector.(); var theta:Number; var phi:Number; var divV:int = 24; var divH:int = 8; var dTheta:Number = Math.PI * 2 / divV; var dPhi:Number = Math.PI * 2 / divH; var numVertices:uint = divH * divV; phi = 0; var m:Mat44 = new Mat44(); var n:Vec3 = new Vec3(); var inRadius:Number = radius - RADIUS; var outRadius:Number = radius; for (var i:int = 0; i < divH; i++) { theta = 0; for (var j:int = 0; j < divV; j++) { m.init(); m.rotate(m, -theta, 0, 1, 0); m.rotate(m, -phi, 0, 0, 1); n.init(0, 1, 0); n.mulMatrix(m, n); vertices.push( Math.cos(theta) * (outRadius + (outRadius - inRadius) * Math.sin(phi)), (outRadius - inRadius) * Math.cos(phi), Math.sin(theta) * (outRadius + (outRadius - inRadius) * Math.sin(phi)) ); normals.push( n.x, n.y, n.z ); theta += dTheta; } phi += dPhi; } var indices:Vector. = new Vector.(); for (i = 0; i < divH; i++) { for (j = 0; j < divV; j++) { indices.push( 1 + i * divV + j, 1 + (i + 1) % divH * divV + (j + 1) % divV, 1 + (i + 1) % divH * divV + j, 1 + i * divV + j, 1 + i % divH * divV + (j + 1) % divV, 1 + (i + 1) % divH * divV + (j + 1) % divV ); } } var mesh:ElasticMesh = new ElasticMesh(gl, bufferIndex, vertices, normals, indices, indices); mesh.initVertices(w); return mesh; } private function createBox(bufferIndex:uint, halfWidth:Number, halfHeight:Number, halfDepth:Number):void { gl.registerBuffer(bufferIndex, 24, 6, 36); gl.uploadVertexBuffer(bufferIndex, Vector.([ -halfWidth, halfHeight, -halfDepth, // top face 0, 1, 0, -halfWidth, halfHeight, halfDepth, 0, 1, 0, halfWidth, halfHeight, halfDepth, 0, 1, 0, halfWidth, halfHeight, -halfDepth, 0, 1, 0, -halfWidth, -halfHeight, -halfDepth, // bottom face 0, -1, 0, halfWidth, -halfHeight, -halfDepth, 0, -1, 0, halfWidth, -halfHeight, halfDepth, 0, -1, 0, -halfWidth, -halfHeight, halfDepth, 0, -1, 0, -halfWidth, halfHeight, -halfDepth, // left face -1, 0, 0, -halfWidth, -halfHeight, -halfDepth, -1, 0, 0, -halfWidth, -halfHeight, halfDepth, -1, 0, 0, -halfWidth, halfHeight, halfDepth, -1, 0, 0, halfWidth, halfHeight, -halfDepth, // right face 1, 0, 0, halfWidth, halfHeight, halfDepth, 1, 0, 0, halfWidth, -halfHeight, halfDepth, 1, 0, 0, halfWidth, -halfHeight, -halfDepth, 1, 0, 0, -halfWidth, halfHeight, halfDepth, // front face 0, 0, 1, -halfWidth, -halfHeight, halfDepth, 0, 0, 1, halfWidth, -halfHeight, halfDepth, 0, 0, 1, halfWidth, halfHeight, halfDepth, 0, 0, 1, -halfWidth, halfHeight, -halfDepth, // back face 0, 0, -1, halfWidth, halfHeight, -halfDepth, 0, 0, -1, halfWidth, -halfHeight, -halfDepth, 0, 0, -1, -halfWidth, -halfHeight, -halfDepth, 0, 0, -1 ])); gl.uploadIndexBuffer(bufferIndex, Vector.([ 0, 1, 2, // top face 0, 2, 3, 4, 5, 6, // bottom face 4, 6, 7, 8, 9, 10, // left face 8, 10, 11, 12, 13, 14, // right face 12, 14, 15, 16, 17, 18, // front face 16, 18, 19, 20, 21, 22, // back face 20, 22, 23 ])); } private function loadParticles():void { var interval:Number = RADIUS; var boxw:int = DOT_SIZE_W; var boxh:int = (dot.width / DOT_SIZE_W) * (dot.height / DOT_SIZE_H); var boxd:int = DOT_SIZE_H; var offsetX:Number = -(boxw - 1) * 0.5 * interval; var offsetY:Number = -(boxh - 1) * 0.5 * interval; var offsetZ:Number = -(boxd - 1) * 0.5 * interval; var tilesOnLine:int = dot.width / DOT_SIZE_W; var ps:Vector.>> = new Vector.>>(); for (var i:int = 0; i < boxw; i++) { ps[i] = new Vector.>(); for (var j:int = 0; j < boxh; j++) { ps[i][j] = new Vector.(); for (var k:int = 0; k < boxd; k++) { var texX:int = i + j % tilesOnLine * DOT_SIZE_W; var texY:int = k + int(j / tilesOnLine) * DOT_SIZE_H; var color:int = dot.getPixel32(texX, texY); if ((color & 0xffffff) == 0) { ps[i][j][k] = null; continue; } var p:Particle = new Particle(-offsetX - i * interval, -offsetY - j * interval, offsetZ + k * interval, RADIUS, distFunc); w.addParticle(p); ps[i][j][k] = p; } } } for (i = 0; i < boxw; i++) { for (j = 0; j < boxh; j++) { for (k = 0; k < boxd; k++) { if (!ps[i][j][k]) continue; var s:Spring; var i0:Boolean = i != 0; var j0:Boolean = j != 0; var k0:Boolean = k != 0; var i1:Boolean = i != boxh - 1; var j1:Boolean = j != boxh - 1; var k1:Boolean = k != boxd - 1; var x1:Boolean = i0 && ps[i - 1][j][k]; var x2:Boolean = i1 && ps[i + 1][j][k]; var y1:Boolean = j0 && ps[i][j - 1][k]; var y2:Boolean = j1 && ps[i][j + 1][k]; var z1:Boolean = k0 && ps[i][j][k - 1]; var z2:Boolean = k1 && ps[i][j][k + 1]; if (x1) { s = new Spring(ps[i][j][k], ps[i - 1][j][k]); w.addSpring(s); } if (y1) { s = new Spring(ps[i][j][k], ps[i][j - 1][k]); w.addSpring(s); } if (z1) { s = new Spring(ps[i][j][k], ps[i][j][k - 1]); w.addSpring(s); } if (i0 && j0 && !x1 && !y1 && ps[i - 1][j - 1][k]) { s = new Spring(ps[i][j][k], ps[i - 1][j - 1][k]); w.addSpring(s); } if (i0 && j1 && !x1 && !y2 && ps[i - 1][j + 1][k]) { s = new Spring(ps[i][j][k], ps[i - 1][j + 1][k]); w.addSpring(s); } if (i0 && k0 && !x1 && !z1 && ps[i - 1][j][k - 1]) { s = new Spring(ps[i][j][k], ps[i - 1][j][k - 1]); w.addSpring(s); } if (i0 && k1 && !x1 && !z2 && ps[i - 1][j][k + 1]) { s = new Spring(ps[i][j][k], ps[i - 1][j][k + 1]); w.addSpring(s); } if (j0 && k0 && !y1 && !z1 && ps[i][j - 1][k - 1]) { s = new Spring(ps[i][j][k], ps[i][j - 1][k - 1]); w.addSpring(s); } if (j0 && k1 && !y1 && !z2 && ps[i][j - 1][k + 1]) { s = new Spring(ps[i][j][k], ps[i][j - 1][k + 1]); w.addSpring(s); } } } } } private function frame(e:Event):void { updateUI(); if(!pressed) { control(); count++; w.step(); } render(); pmouseX = mouseX; pmouseY = mouseY; pspace = space; } private function updateUI():void { if (pressed) { targetTheta -= (pmouseX - mouseX) * 0.01; targetCameraY -= (pmouseY - mouseY) * 5; if (targetCameraY < -500) targetCameraY = -500; if (targetCameraY > 500) targetCameraY = 500; } theta += (targetTheta - theta) * 0.2; cameraY += (targetCameraY - cameraY) * 0.2; scene.cameraPos(0, 500 + cameraY, 600); scene.lightPos(500 * Math.sin(theta), 1000, 500 * Math.cos(theta)); } private function render():void { // render depth map scene.renderMode(0); renderScene(); // render scene scene.renderMode(1); renderScene(); gl.endScene(); } private function renderScene():void { gl.push(); gl.rotate(theta, 0, 1, 0); if (renderAsMesh) { specular(1, 60); for (var i:int = 0; i < numM; i++) { var color:int = meshes[i].color; diffuse((color >> 16 & 0xff) / 255, (color >> 8 & 0xff) / 255, (color & 0xff) / 255); drawElasticMesh(meshes[i]); } } else { specular(0, 1); drawParticles(); } diffuse(0.5, 0.5, 0.5); specular(0, 1); drawNormalMesh(GROUND_PLANE_MESH); drawGround(); gl.pop(); } private function control():void { var dx:Number = (l ? -0.5 : 0) + (r ? 0.5 : 0); var dz:Number = (u ? -0.5 : 0) + (d ? 0.5 : 0); var dy:Number = space && !pspace ? 15 : 0; var numP:int = w.numP; for (var i:int = 0; i < numP; i++) { var p:Particle = w.ps[i]; p.vx += dx * Math.cos(theta) - dz * Math.sin(theta); p.vy += dy; p.vz += dx * Math.sin(theta) + dz * Math.cos(theta); } } private function drawParticles():void { var numP:int = w.numP; for (var i:int = 0; i < numP; i++) { var p:Particle = w.ps[i]; drawParticle(p); } } private function drawParticle(p:Particle):void { gl.push(); var color:int = p.mesh.color; diffuse((color >> 16 & 0xff) / 255, (color >> 8 & 0xff) / 255, (color & 0xff) / 255); gl.translate(p.x, p.y, p.z); gl.transform(p.r); gl.push(); gl.scale(RADIUS, RADIUS, RADIUS); drawNormalMesh(SPHERE_MESH); gl.pop(); gl.pop(); } private function setWorldMatrix():void { gl.getWorldMatrix(buffer); scene.setWorldMatrix(buffer); } private function drawNormalMesh(index:int):void { setWorldMatrix(); scene.renderMesh(index, false, -1); } private static const FIRST_QUAT_REGISTER_INDEX:int = 24; [Inline] private final function drawElasticMesh(mesh:ElasticMesh):void { setWorldMatrix(); mesh.setVertexConsts(FIRST_QUAT_REGISTER_INDEX); scene.renderMesh(mesh.bufferIndex, true, FIRST_QUAT_REGISTER_INDEX); } private function diffuse(r:Number, g:Number, b:Number):void { scene.color(r, g, b); } private function specular(specular:Number, shininess:Number):void { scene.specular(specular, shininess); } private function initWorld():void { count = 0; w = new World(); numM = 0; var numTeapot:int = 8; var numTorus:int = 50; for (var j:int = 0; j < numTeapot; j++) { var x:Number = Math.random() * 80 - 40; var z:Number = Math.random() * 80 - 40; x = y = 0; loadParticles(); (meshes[numM++] = createTeapotMesh(TEAPOT_MESH)).color = Math.random() * 0x1000000 | 0x7f7f7f; w.translate(x, 150, z); } for (var i:int = 0; i < numTorus; i++) { x = Math.random() * 200 - 100; z = Math.random() * 200 - 100; var radius:Number = 40; w.translate(-x, 0, -z); placeTorusParticles(radius); meshes[numM++] = createTorusMesh(TORUS_MESH, radius); w.translate(x, 50, z); } for (var k:int = 0; k < numM; k++) { meshes[k].createVBO(); } } private function placeTorusParticles(radius:Number):void { var division:int = int(radius * 2 * Math.PI / (RADIUS)) + 1; var ps:Vector. = new Vector.(division, true); var da:Number = 2 * Math.PI / division; for (var i:int = 0; i < division; i++) { ps[i] = new Particle(Math.cos(i * da) * radius, 0, Math.sin(i * da) * radius, RADIUS, distFunc); w.addParticle(ps[i]); } for (i = 0; i < division; i++) { w.addSpring(new Spring(ps[i], ps[(i + 1) % division])); } } private const mixerSizeW:Number = 300; private const mixerSizeH:Number = 50; private const mixerSizeD:Number = 20; private const mixerY:Number = 50; private const mixerRotationSpeed:Number = 0.08; private function drawGround():void { gl.push(); gl.translate(0, mixerY, 0); gl.rotate(count * mixerRotationSpeed, 0, 1, 0); gl.scale(mixerSizeW, mixerSizeH, mixerSizeD); drawNormalMesh(BOX_MESH); gl.pop(); } private var distFuncResPool:Vector. = new Vector.(4, true); private var distFuncResCount:int = 0; [Inline] private final function requestResult():DistFuncResult { var id:int = ++distFuncResCount % distFuncResPool.length; if (distFuncResPool[id] == null) { distFuncResPool[id] = new DistFuncResult(); } return distFuncResPool[id]; } [Inline] private final function distFunc(x:Number, y:Number, z:Number):DistFuncResult { var res:DistFuncResult = requestResult(); var interval:int = 90; var xi:int = Math.floor((x + interval * 0.5) / interval) | 0; var zi:int = Math.floor((z + interval * 0.5) / interval) | 0; var h:Number = 150 - (xi * xi + zi * zi) * 20; var d:Number = y; d = min(d, x + 350); d = min(d, -x + 350); d = min(d, z + 350); d = min(d, -z + 350); var vx:Number = 0; var vy:Number = 0; var vz:Number = 0; var dx:Number = x; var dy:Number = y - mixerY; var dz:Number = z; var rad:Number = count * mixerRotationSpeed; var s:Number = Math.sin(rad); var c:Number = Math.cos(rad); var tx:Number = dx * c - dz * s; var tz:Number = dx * s + dz * c; dx = tx; dz = tz; dx = abs(dx) - mixerSizeW; dy = abs(dy) - mixerSizeH; dz = abs(dz) - mixerSizeD; var boxDist:Number = min(max(max(dx, dy), dz), 0) + length(max(dx, 0), max(dy, 0), max(dz, 0)); if (boxDist < d) { d = boxDist; vx = mixerRotationSpeed * z; vz = -mixerRotationSpeed * x; } res.d = d; res.vx = vx; res.vy = vy; res.vz = vz; return res; } [Inline] private final function min(a:Number, b:Number):Number { return a < b ? a : b; } [Inline] private final function max(a:Number, b:Number):Number { return a > b ? a : b; } [Inline] private final function abs(a:Number):Number { return a < 0 ? -a : a; } [Inline] private final function mod(a:Number, b:Number):Number { return (a % b + b) % b; } [Inline] private final function length(x:Number, y:Number, z:Number):Number { return Math.sqrt(x * x + y * y + z * z); } } } import flash.display3D.Context3DTextureFormat; import flash.display3D.Context3DVertexBufferFormat; import flash.display3D.textures.Texture; class DistFuncResult { public var d:Number; public var vx:Number; public var vy:Number; public var vz:Number; } class Scene { private var gl:ShrGL; private var cameraX:Number; private var cameraY:Number; private var cameraZ:Number; private var lightX:Number; private var lightY:Number; private var lightZ:Number; private var lightR:Number; private var lightG:Number; private var lightB:Number; private var colR:Number; private var colG:Number; private var colB:Number; private var amb:Number; private var dif:Number; private var spc:Number; private var shn:Number; private var wMat:Mat44; private var vMat:Mat44; private var pMat:Mat44; private var mode:int; // 0: depth mapping, 1: standard shading private var depthMap:Texture; public function Scene(gl:ShrGL, cameraX:Number, cameraY:Number, cameraZ:Number, lightX:Number, lightY:Number, lightZ:Number) { this.gl = gl; this.cameraX = cameraX; this.cameraY = cameraY; this.cameraZ = cameraZ; this.lightX = lightX; this.lightY = lightY; this.lightZ = lightZ; setShaders(); lightR = 1; lightG = 1; lightB = 1; colR = 1; colG = 1; colB = 1; amb = 0.3; dif = 0.8; spc = 0.0; shn = 5.0; wMat = new Mat44(); vMat = new Mat44(); pMat = new Mat44(); var bufferSize:int = 512; depthMap = gl.getContext3D().createTexture(bufferSize, bufferSize, Context3DTextureFormat.RGBA_HALF_FLOAT, true); renderMode(1); } private function setShaders():void { var depthMapShader:String = 0.5) { var index0:float = weightAndIndex0.y * 2 + firstIndex; var index1:float = weightAndIndex1.y * 2 + firstIndex; var index2:float = weightAndIndex2.y * 2 + firstIndex; var index3:float = index0 + 1; var index4:float = index1 + 1; var index5:float = index2 + 1; var quat0:vec4 = 0; // vc[index0] var quat1:vec4 = 0; // vc[index1] var quat2:vec4 = 0; // vc[index2] var pos0:vec4 = 0; // vc[index3] var pos1:vec4 = 0; // vc[index4] var pos2:vec4 = 0; // vc[index5] // volatile: in order not to remove indices when optimizing pos0.x += (index0 + index1 + index2 + index3 + index4 + index5) * 0; var m0:mat3x4 = quatToMat3x4(quat0); var m1:mat3x4 = quatToMat3x4(quat1); var m2:mat3x4 = quatToMat3x4(quat2); var v0:vec3 = mul(m0, relPos0.xyz) + pos0.xyz; var v1:vec3 = mul(m1, relPos1.xyz) + pos1.xyz; var v2:vec3 = mul(m2, relPos2.xyz) + pos2.xyz; var transformedPos:vec4 = vec4(weightAndIndex0.x * v0 + weightAndIndex1.x * v1 + weightAndIndex2.x * v2, 1); vpos = mul(vMat, mul(wMat, transformedPos)); } else { vpos = mul(vMat, mul(wMat, vec4(position, 1))); } var ppos:vec4 = mul(pMat, vpos); var near:float = 1.0; var far:float = 2000.0; depth = (-vpos.z - near) / (far - near); output = ppos; } } program fragment { function main():void { output = vec4(depth.xxx, 1); } } ]]>; var shader:String = 0.5) { var index0:float = weightAndIndex0.y * 2 + firstIndex; var index1:float = weightAndIndex1.y * 2 + firstIndex; var index2:float = weightAndIndex2.y * 2 + firstIndex; var index3:float = index0 + 1; var index4:float = index1 + 1; var index5:float = index2 + 1; var quat0:vec4 = 0; // vc[index0] var quat1:vec4 = 0; // vc[index1] var quat2:vec4 = 0; // vc[index2] var pos0:vec4 = 0; // vc[index3] var pos1:vec4 = 0; // vc[index4] var pos2:vec4 = 0; // vc[index5] // volatile: in order not to remove indices when optimizing pos0.x += (index0 + index1 + index2 + index3 + index4 + index5) * 0; var m0:mat3x4 = quatToMat3x4(quat0); var m1:mat3x4 = quatToMat3x4(quat1); var m2:mat3x4 = quatToMat3x4(quat2); var v0:vec3 = mul(m0, relPos0.xyz) + pos0.xyz; var v1:vec3 = mul(m1, relPos1.xyz) + pos1.xyz; var v2:vec3 = mul(m2, relPos2.xyz) + pos2.xyz; var transformedPos:vec4 = vec4(weightAndIndex0.x * v0 + weightAndIndex1.x * v1 + weightAndIndex2.x * v2, 1); wpos = mul(wMat, transformedPos); nor1 = mul(wMat, mul(weightAndIndex0.x * m0 + weightAndIndex1.x * m1 + weightAndIndex2.x * m2, normal)); } else { wpos = mul(wMat, vec4(position, 1)); nor1 = mul(wMat, normal); } var ppos:vec4 = mul(pMat, mul(vMat, wpos)); pos = wpos.xyz; nor = normalize(nor1) * 1.0; var vposD:vec4 = mul(vMatD, wpos); var pposD:vec4 = mul(pMatD, vposD); var near:float = 1.0; var far:float = 2000.0; depth = (-vposD.z - near) / (far - near); posD = pposD.xyw; output = ppos; } } program fragment { uniform color:vec3; uniform ambient:float; uniform diffuse:float; uniform specular:float; uniform shininess:float; uniform lightPos:vec3; uniform lightColor:vec3; uniform cameraPos:vec3; uniform depthMap:texture; function main():void { var toLight:vec3 = normalize(lightPos - pos); var normal:vec3 = normalize(nor); var brightness:float = dot(toLight, normal); var reflEye:vec3 = reflect(normalize(pos - cameraPos), normal); var spec:float = pow(dot(toLight, reflEye), shininess); if (brightness < 0) { brightness = 0; spec = 0; } var texCoord:vec2 = posD.xy / posD.zz * 0.5 + 0.5; texCoord.y = 1 - texCoord.y; var dist:float = depth - 0.005; var tex:vec4 = tex2D(depthMap, texCoord, clamp, linear); var duv:vec2 = vec2(1 / 512, 0); var i:vec2 = 0; var factor:float = 0; i.x = -1 * duv.x; var minDepth:float = 1; loop(5) { i.y = -1 * duv.x; loop(5) { factor += shadowFactor(texCoord + i, duv, dist, minDepth); i.y += duv.x; } i.x += duv.x; } factor /= 25; var f:float = max(dist - minDepth, 0); var radius:float = min(max(1 - f * 100, f * f * 100), 1); factor = saturate(0.5 + (factor - 0.5) / radius); brightness *= factor; spec *= factor; var col:vec3 = lightColor * (color * min(1.0, ambient + brightness * diffuse) + spec * specular); output = vec4(col, 1); } function shadowFactor(uv:vec2, duv:vec2, d:float, &minDepth:float):float { var iuv:vec2 = floor(uv / duv.x) * duv.x; var fuv:vec2 = (uv - iuv) / duv.x; var v1:float = sample(iuv, d, minDepth); var v2:float = sample(iuv + duv.xy, d, minDepth); var v3:float = sample(iuv + duv.yx, d, minDepth); var v4:float = sample(iuv + duv.xx, d, minDepth); var c1:float = v1 + (v2 - v1) * fuv.x; var c2:float = v3 + (v4 - v3) * fuv.x; return c1 + (c2 - c1) * fuv.y; } function sample(uv:vec2, d:float, &minDepth:float):float { var texVal:float = tex2D(depthMap, uv, clamp, nearest).r; minDepth = min(minDepth, texVal); return step(d, texVal); } } ]]>; // vertex shaders must be modified after compiling // in order to use array vc accessing, which OGSL does not support gl.registerProgram(0); gl.compileShader(0, depthMapShader, mov vt3, vc[vt1.x]; mov vt5, vc[vt1.y]; mov vt6, vc[vt1.z]; mov vt7, vc[vt1.w]; mov vt8, vc[vt2.x]; mov vt9, vc[vt2.y]; // mul vt1.xyz, vc14.www, vt3.xyz; mul vt1.xw, vt3.wxxx, vt1.xxxx; mul vt2, vt3.yzxy, vt1.yzyz; mul vt3.x, vt3.x, vt1.z; mul vt1.yz, vt3.wwww, vt1.yyzy; sub vt3.y, vc14.y, vt2.x; sub vt4.x, vt3.y, vt2.y; sub vt4.y, vt2.z, vt1.z; add vt4.z, vt3.x, vt1.y; mov vt4.w, vc14.x; add vt10.x, vt2.z, vt1.z; sub vt1.z, vc14.y, vt1.w; sub vt10.y, vt1.z, vt2.y; sub vt10.z, vt2.w, vt1.x; mov vt10.w, vc14.x; sub vt3.x, vt3.x, vt1.y; add vt3.y, vt2.w, vt1.x; sub vt1.x, vc14.y, vt1.w; sub vt3.z, vt1.x, vt2.x; mov vt3.w, vc14.x; mov vt11, vt10; mov vt10, vt4; mov vt12, vt3; mov vt1, vt5; mul vt2.xyz, vc14.www, vt1.xyz; mul vt2.xw, vt1.wxxx, vt2.xxxx; mul vt3.xy, vt1.yx, vt2.yy; mul vt1.xyz, vt1.xyzz, vt2.zzzz; mul vt2.y, vt1.w, vt2.y; mul vt1.w, vt1.w, vt2.z; sub vt2.z, vc14.y, vt3.x; sub vt4.x, vt2.z, vt1.z; sub vt4.y, vt3.y, vt1.w; add vt4.z, vt1.x, vt2.y; mov vt4.w, vc14.x; add vt5.x, vt3.y, vt1.w; sub vt1.w, vc14.y, vt2.w; sub vt5.y, vt1.w, vt1.z; sub vt5.z, vt1.y, vt2.x; mov vt5.w, vc14.x; sub vt1.x, vt1.x, vt2.y; add vt1.y, vt1.y, vt2.x; sub vt1.z, vc14.y, vt2.w; sub vt1.z, vt1.z, vt3.x; mov vt1.w, vc14.x; mov vt13, vt4; mov vt14, vt5; mov vt15, vt1; mov vt1, vt6; mul vt2.xyz, vc14.www, vt1.xyz; mul vt2.xw, vt1.wxxx, vt2.xxxx; mul vt3.xy, vt1.yx, vt2.yy; mul vt1.xyz, vt1.xyzz, vt2.zzzz; mul vt2.y, vt1.w, vt2.y; mul vt1.w, vt1.w, vt2.z; sub vt2.z, vc14.y, vt3.x; sub vt4.x, vt2.z, vt1.z; sub vt4.y, vt3.y, vt1.w; add vt4.z, vt1.x, vt2.y; mov vt4.w, vc14.x; add vt5.x, vt3.y, vt1.w; sub vt1.w, vc14.y, vt2.w; sub vt5.y, vt1.w, vt1.z; sub vt5.z, vt1.y, vt2.x; mov vt5.w, vc14.x; sub vt1.x, vt1.x, vt2.y; add vt1.y, vt1.y, vt2.x; sub vt1.z, vc14.y, vt2.w; sub vt1.z, vt1.z, vt3.x; mov vt1.w, vc14.x; mov vt2, vt4; mov vt3, vt5; mov vt4, vt1; m33 vt1.xyz, va1.xyz, vt10; add vt1.xyz, vt1.xyz, vt7.xyz; m33 vt5.xyz, va2.xyz, vt13; add vt5.xyz, vt5.xyz, vt8.xyz; m33 vt2.xyz, va3.xyz, vt2; add vt2.xyz, vt2.xyz, vt9.xyz; mul vt1.xyz, va4.xxx, vt1.xyz; mul vt3.xyz, va5.xxx, vt5.xyz; add vt1.xyz, vt1.xyz, vt3.xyz; mul vt2.xyz, va6.xxx, vt2.xyz; add vt1.xyz, vt1.xyz, vt2.xyz; mov vt1.w, vc14.y; m44 vt1, vt1, vc1; m44 vt2, vt1, vc5; mov vt0, vt2; els; mov vt1.xyz, va0.xyz; mov vt1.w, vc14.y; m44 vt2, vt1, vc1; m44 vt0, vt2, vc5; eif; m44 op, vt0, vc9; mov vt0.x, vc14.y; neg vt0.y, vt0.z; sub vt0.y, vt0.y, vt0.x; sub vt0.x, vc15.x, vt0.x; div v0, vt0.y, vt0.x; ]]>); gl.registerProgram(1); gl.compileShader(1, shader, mov vt3, vc[vt1.x]; mov vt5, vc[vt1.y]; mov vt6, vc[vt1.z]; mov vt7, vc[vt1.w]; mov vt8, vc[vt2.x]; mov vt9, vc[vt2.y]; // mul vt1.xyz, vc22.www, vt3.xyz; mul vt1.xw, vt3.wxxx, vt1.xxxx; mul vt2, vt3.yzxy, vt1.yzyz; mul vt3.x, vt3.x, vt1.z; mul vt1.yz, vt3.wwww, vt1.yyzy; sub vt3.y, vc22.y, vt2.x; sub vt4.x, vt3.y, vt2.y; sub vt4.y, vt2.z, vt1.z; add vt4.z, vt3.x, vt1.y; mov vt4.w, vc22.x; add vt10.x, vt2.z, vt1.z; sub vt1.z, vc22.y, vt1.w; sub vt10.y, vt1.z, vt2.y; sub vt10.z, vt2.w, vt1.x; mov vt10.w, vc22.x; sub vt3.x, vt3.x, vt1.y; add vt3.y, vt2.w, vt1.x; sub vt1.x, vc22.y, vt1.w; sub vt3.z, vt1.x, vt2.x; mov vt3.w, vc22.x; mov vt1, vt4; mov vt2, vt10; mul vt4.xyz, vc22.www, vt5.xyz; mul vt4.xw, vt5.wxxx, vt4.xxxx; mul vt7.w, vt5.y, vt4.y; mul vt5.yz, vt5.zyzz, vt4.zzzz; mul vt8.w, vt5.x, vt4.y; mul vt5.x, vt5.x, vt4.z; mul vt4.yz, vt5.wwww, vt4.yyzy; sub vt5.w, vc22.y, vt7.w; sub vt10.x, vt5.w, vt5.z; sub vt10.y, vt8.w, vt4.z; add vt10.z, vt5.x, vt4.y; mov vt10.w, vc22.x; add vt11.x, vt8.w, vt4.z; sub vt4.z, vc22.y, vt4.w; sub vt11.y, vt4.z, vt5.z; sub vt11.z, vt5.y, vt4.x; mov vt11.w, vc22.x; sub vt5.x, vt5.x, vt4.y; add vt5.y, vt5.y, vt4.x; sub vt4.x, vc22.y, vt4.w; sub vt5.z, vt4.x, vt7.w; mov vt5.w, vc22.x; mov vt12, vt11; mov vt11, vt10; mov vt13, vt5; mov vt5, vt6; mul vt4.xyz, vc22.www, vt5.xyz; mul vt4.xw, vt5.wxxx, vt4.xxxx; mul vt6.xy, vt5.yx, vt4.yy; mul vt5.xyz, vt5.xyzz, vt4.zzzz; mul vt4.yz, vt5.wwww, vt4.yyzy; sub vt5.w, vc22.y, vt6.x; sub vt10.x, vt5.w, vt5.z; sub vt10.y, vt6.y, vt4.z; add vt10.z, vt5.x, vt4.y; mov vt10.w, vc22.x; add vt14.x, vt6.y, vt4.z; sub vt4.z, vc22.y, vt4.w; sub vt14.y, vt4.z, vt5.z; sub vt14.z, vt5.y, vt4.x; mov vt14.w, vc22.x; sub vt5.x, vt5.x, vt4.y; add vt5.y, vt5.y, vt4.x; sub vt4.x, vc22.y, vt4.w; sub vt5.z, vt4.x, vt6.x; mov vt5.w, vc22.x; mov vt15, vt14; mov vt14, vt10; mov vt16, vt5; m33 vt4.xyz, va2.xyz, vt1; add vt4.xyz, vt4.xyz, vt7.xyz; m33 vt5.xyz, va3.xyz, vt11; add vt5.xyz, vt5.xyz, vt8.xyz; m33 vt6.xyz, va4.xyz, vt14; add vt6.xyz, vt6.xyz, vt9.xyz; mul vt4.xyz, va5.xxx, vt4.xyz; mul vt5.xyz, va6.xxx, vt5.xyz; add vt4.xyz, vt4.xyz, vt5.xyz; mul vt5.xyz, va7.xxx, vt6.xyz; add vt4.xyz, vt4.xyz, vt5.xyz; mov vt4.w, vc22.y; m44 vt0, vt4, vc1; mul vt1, va5.xxxx, vt1; mul vt2, va5.xxxx, vt2; mul vt3, va5.xxxx, vt3; mul vt4, va6.xxxx, vt11; mul vt5, va6.xxxx, vt12; mul vt6, va6.xxxx, vt13; add vt4, vt1, vt4; add vt2, vt2, vt5; add vt3, vt3, vt6; mul vt5, va7.xxxx, vt14; mul vt6, va7.xxxx, vt15; mul vt7, va7.xxxx, vt16; add vt4, vt4, vt5; add vt5, vt2, vt6; add vt6, vt3, vt7; m33 vt2.xyz, va1.xyz, vt4; m33 vt2.xyz, vt2.xyz, vc1; els; mov vt1.xyz, va0.xyz; mov vt1.w, vc22.y; m44 vt0, vt1, vc1; m33 vt2.xyz, va1.xyz, vc1; eif; m44 vt1, vt0, vc5; m44 op, vt1, vc9; mov v0, vt0.xyz; nrm vt1.xyz, vt2.xyz; mul v2, vt1.xyz, vc22.yyy; m44 vt0, vt0, vc13; m44 vt1, vt0, vc17; mov vt0.x, vc22.y; neg vt0.y, vt0.z; sub vt0.y, vt0.y, vt0.x; sub vt0.x, vc23.x, vt0.x; div v3, vt0.y, vt0.x; mov v1, vt1.xyw; ]]>); } public function color(r:Number, g:Number, b:Number):void { colR = r; colG = g; colB = b; if (mode == 1) { gl.setProgramConstantsNumber("fragment", getFConstIdx(1, "color"), colR, colG, colB, 1); } } public function ambient(ambient:Number):void { amb = ambient; if (mode == 1) { gl.setProgramConstantsNumber("fragment", getFConstIdx(1, "ambient"), amb, 0, 0, 1); } } public function diffuse(diffuse:Number):void { dif = diffuse; if (mode == 1) { gl.setProgramConstantsNumber("fragment", getFConstIdx(1, "diffuse"), dif, 0, 0, 1); } } public function specular(specular:Number, shininess:Number):void { spc = specular; shn = shininess; if (mode == 1) { gl.setProgramConstantsNumber("fragment", getFConstIdx(1, "specular"), spc, 0, 0, 1); gl.setProgramConstantsNumber("fragment", getFConstIdx(1, "shininess"), shn, 0, 0, 1); } } public function cameraPos(x:Number, y:Number, z:Number):void { cameraX = x; cameraY = y; cameraZ = z; if (mode == 1) { gl.setProgramConstantsNumber("fragment", getFConstIdx(1, "cameraPos"), cameraX, cameraY, cameraZ, 1); } } public function lightPos(x:Number, y:Number, z:Number):void { lightX = x; lightY = y; lightZ = z; if (mode == 1) { gl.setProgramConstantsNumber("fragment", getFConstIdx(1, "lightPos"), lightX, lightY, lightZ, 1); } } public function lightColor(r:Number, g:Number, b:Number):void { lightR = r; lightG = g; lightB = b; if (mode == 1) { gl.setProgramConstantsNumber("fragment", getFConstIdx(1, "lightColor"), lightR, lightG, lightB, 1); } } public function setWorldMatrix(mat:Mat44):void { wMat.copy(mat); gl.setProgramConstantsMatrix("vertex", getVConstIdx(mode, "wMat"), wMat); } public function setViewMatrix(mat:Mat44):void { vMat.copy(mat); gl.setProgramConstantsMatrix("vertex", getVConstIdx(mode, "vMat"), vMat); } public function setProjectionMatrix(mat:Mat44):void { pMat.copy(mat); gl.setProgramConstantsMatrix("vertex", getVConstIdx(mode, "pMat"), pMat); } [Inline] public final function renderMesh(id:int, elastic:Boolean, firstIndex:int):void { gl.setProgramConstantsNumber("vertex", getVConstIdx(mode, "isElastic"), elastic ? 1 : 0, 0, 0, 0); gl.setProgramConstantsNumber("vertex", getVConstIdx(mode, "firstIndex"), firstIndex, 0, 0, 1); gl.bindVertexAttribute(id, getVAttribIdx(mode, "position"), 0, "float3"); if (mode == 1) { gl.bindVertexAttribute(id, getVAttribIdx(mode, "normal"), 3, "float3"); } for (var i:int = 0; i < ElasticMesh.NUM_NEIGHBORS; i++) { var offset:int = 6 + 5 * i; if (elastic) { gl.bindVertexAttribute(id, getVAttribIdx(mode, "relPos" + i), offset, "float3"); gl.bindVertexAttribute(id, getVAttribIdx(mode, "weightAndIndex" + i), offset + 3, "float2"); } else { gl.bindVertexAttribute(id, getVAttribIdx(mode, "relPos" + i), 0, "float3"); gl.bindVertexAttribute(id, getVAttribIdx(mode, "weightAndIndex" + i), 0, "float2"); } } gl.drawTriangles(id); } public function renderMode(mode:int):void { if (mode != 0 && mode != 1) throw new Error("!?"); var vm:Mat44 = new Mat44(); var pm:Mat44 = new Mat44(); this.mode = mode; gl.unbindVertexAttributes(); if (mode == 0) { gl.setProgram(0); gl.getOGSL(0).setDefaultConstants(); gl.camera(lightX, lightY, lightZ, 0, 0, 0, 0, 0, 1); gl.perspective(Math.PI / 3, 0.5, 10000); gl.getViewMatrix(vm); gl.getProjectionMatrix(pm); setViewMatrix(vm); setProjectionMatrix(pm); gl.setProgramConstantsMatrix("vertex", getVConstIdx(0, "vMat"), vMat); gl.setProgramConstantsMatrix("vertex", getVConstIdx(0, "pMat"), pMat); gl.getContext3D().setTextureAt(getTexIdx(1, "depthMap"), null); gl.getContext3D().setRenderToTexture(depthMap, true); gl.beginScene(1, 1, 1); } else { gl.setProgram(1); gl.getOGSL(1).setDefaultConstants(); gl.camera(lightX, lightY, lightZ, 0, 0, 0, 0, 0, 1); gl.perspective(Math.PI / 3, 0.5, 10000); gl.getViewMatrix(vm); gl.getProjectionMatrix(pm); gl.setProgramConstantsMatrix("vertex", getVConstIdx(1, "vMatD"), vm); gl.setProgramConstantsMatrix("vertex", getVConstIdx(1, "pMatD"), pm); gl.camera(cameraX, cameraY, cameraZ, 0, 100, 0); gl.perspective(Math.PI / 3, 0.5, 10000); gl.getViewMatrix(vm); gl.getProjectionMatrix(pm); setViewMatrix(vm); setProjectionMatrix(pm); gl.setProgramConstantsMatrix("vertex", getVConstIdx(1, "wMat"), wMat); gl.setProgramConstantsMatrix("vertex", getVConstIdx(1, "vMat"), vMat); gl.setProgramConstantsMatrix("vertex", getVConstIdx(1, "pMat"), pMat); gl.setProgramConstantsNumber("fragment", getFConstIdx(1, "color"), colR, colG, colB, 1); gl.setProgramConstantsNumber("fragment", getFConstIdx(1, "lightColor"), lightR, lightG, lightB, 1); gl.setProgramConstantsNumber("fragment", getFConstIdx(1, "ambient"), amb, 0, 0, 1); gl.setProgramConstantsNumber("fragment", getFConstIdx(1, "diffuse"), dif, 0, 0, 1); gl.setProgramConstantsNumber("fragment", getFConstIdx(1, "specular"), spc, 0, 0, 1); gl.setProgramConstantsNumber("fragment", getFConstIdx(1, "shininess"), shn, 0, 0, 1); gl.setProgramConstantsNumber("fragment", getFConstIdx(1, "cameraPos"), cameraX, cameraY, cameraZ, 1); gl.setProgramConstantsNumber("fragment", getFConstIdx(1, "lightPos"), lightX, lightY, lightZ, 1); gl.getContext3D().setTextureAt(getTexIdx(1, "depthMap"), depthMap); gl.getContext3D().setRenderToBackBuffer(); gl.beginScene(0.1, 0.1, 0.1); } } [Inline] private final function getVAttribIdx(id:uint, name:String):int { return gl.getOGSL(id).getVertexBufferIndex(name); } [Inline] private final function getVConstIdx(id:uint, name:String):int { return gl.getOGSL(id).getVertexConstantsIndex(name); } [Inline] private final function getFConstIdx(id:uint, name:String):int { return gl.getOGSL(id).getFragmentConstantsIndex(name); } [Inline] private final function getTexIdx(id:uint, name:String):int { return gl.getOGSL(id).getTextureIndex(name); } } class ElasticMesh { private var gl:ShrGL; public var vertices:Vector.; public var vertexData:Vector.; public var normals:Vector.; public var numIndices:int; public var indices:Vector.; public var normalIndices:Vector.; public var verticesBuffer:Vector.; public var indicesBuffer:Vector.; public var ps:Vector.; // particles connected with the mesh public var numP:int; public var bufferIndex:int; public var color:int; public static const NUM_NEIGHBORS:int = 3; private var vbo:Vector.; // posX, posY, posZ, norX, norY, norZ, (rposX, rposY, rposZ, weight, index){NUM_NEIGHBORS} private var constData:ByteArray; public function ElasticMesh(gl:ShrGL, bufferIndex:int, vertices:Vector., normals:Vector., indices:Vector., normalIndices:Vector.) { this.gl = gl; this.bufferIndex = bufferIndex; this.vertices = vertices; this.normals = normals; this.indices = indices; this.normalIndices = normalIndices; vertices.fixed = true; normals.fixed = true; indices.fixed = true; normalIndices.fixed = true; numIndices = indices.length; vertexData = new Vector.(vertices.length / 3, true); var strideCount:int = 6 + NUM_NEIGHBORS * 5; verticesBuffer = new Vector.(numIndices * strideCount, true); indicesBuffer = new Vector.(numIndices, true); ps = new Vector.(); color = [0xffb040, 0x804020, 0xe08020, 0xf0e0a0][Math.random() * 4 | 0]; gl.registerBuffer(bufferIndex, numIndices, strideCount, numIndices); constData = new ByteArray(); constData.endian = "littleEndian"; } public function initVertices(w:World):void { for (var i:int = 0; i < vertexData.length; i++) { vertexData[i] = new VertexData(this, NUM_NEIGHBORS); vertexData[i].calcData(vertices[i * 3], vertices[i * 3 + 1], vertices[i * 3 + 2], w.ps, w.numP, ps); } numP = ps.length; ps.fixed = true; } public function createVBO():void { var c:int = 0; for (var i:int = 0; i < numIndices; i++) { var vi:int = (indices[i] - 1) * 3; var ni:int = (normalIndices[i] - 1) * 3; verticesBuffer[c++] = vertices[vi]; verticesBuffer[c++] = vertices[vi + 1]; verticesBuffer[c++] = vertices[vi + 2]; var vd:VertexData = vertexData[indices[i] - 1]; var nx:Number = normals[ni]; var ny:Number = normals[ni + 1]; var nz:Number = normals[ni + 2]; verticesBuffer[c++] = nx; verticesBuffer[c++] = ny; verticesBuffer[c++] = nz; for (var j:int = 0; j < NUM_NEIGHBORS; j++) { verticesBuffer[c++] = vd.relPosX[j]; verticesBuffer[c++] = vd.relPosY[j]; verticesBuffer[c++] = vd.relPosZ[j]; verticesBuffer[c++] = vd.weight[j]; verticesBuffer[c++] = vd.nearParticles[j].indexInMesh; } indicesBuffer[i] = i; } gl.uploadVertexBuffer(bufferIndex, verticesBuffer); gl.uploadIndexBuffer(bufferIndex, indicesBuffer); } [Inline] public final function setVertexConsts(firstIndex:int):void { constData.position = 0; for (var i:int = 0; i < numP; i++) { var q:Quat = ps[i].q; constData.writeFloat(q.x); constData.writeFloat(q.y); constData.writeFloat(q.z); constData.writeFloat(q.s); constData.writeFloat(ps[i].x); constData.writeFloat(ps[i].y); constData.writeFloat(ps[i].z); constData.writeFloat(1); } gl.getContext3D().setProgramConstantsFromByteArray("vertex", firstIndex, numP * 2, constData, 0); } } class VertexData { public var nearParticles:Vector.; public var relPosX:Vector.; public var relPosY:Vector.; public var relPosZ:Vector.; public var nx:Number; public var ny:Number; public var nz:Number; public var weight:Vector.; public var numNeighbors:int; public var m:Mat44; private var mesh:ElasticMesh; public function VertexData(mesh:ElasticMesh, numNeighbors:int) { this.mesh = mesh; this.numNeighbors = numNeighbors; nearParticles = new Vector.(numNeighbors, true); relPosX = new Vector.(numNeighbors, true); relPosY = new Vector.(numNeighbors, true); relPosZ = new Vector.(numNeighbors, true); weight = new Vector.(numNeighbors, true); m = new Mat44(); } [Inline] public final function calcData(x:Number, y:Number, z:Number, ps:Vector., numP:int, psOut:Vector.):void { var used:Vector. = new Vector.(numP, true); var dist1:Number = 0; var rad2:Number = (3 * Elastic.RADIUS); rad2 *= rad2; var sumW:Number = 0; for (var t:int = 0; t < numNeighbors; t++) { var minDist:Number = 1 / 0.0; var minIdx:int = -1; for (var i:int = 0; i < numP; i++) { if (used[i]) continue; var dx:Number = x - ps[i].x; var dy:Number = y - ps[i].y; var dz:Number = z - ps[i].z; var d2:Number = dx * dx + dy * dy + dz * dz; if (ps[i].mesh == null) { ps[i].mesh = mesh; ps[i].indexInMesh = psOut.length; psOut.push(ps[i]); } if (d2 < minDist) { minDist = d2; minIdx = i; } } var dist:Number = Math.sqrt(minDist); if (t == 0) dist1 = dist; used[minIdx] = true; var nearP:Particle = ps[minIdx]; nearParticles[t] = nearP; var rx:Number = x - nearP.x; var ry:Number = y - nearP.y; var rz:Number = z - nearP.z; relPosX[t] = rx; relPosY[t] = ry; relPosZ[t] = rz; sumW += weight[t] = Math.pow(dist1 / dist, 3); } sumW = 1 / sumW; var sumW2:Number = 0; for (i = 0; i < numNeighbors; i++) { weight[i] *= sumW; } } [Inline] public final function updateData(vertices:Vector., beginIndex:int):void { var sumX:Number = 0; var sumY:Number = 0; var sumZ:Number = 0; var sumNX:Number = 0; var sumNY:Number = 0; var sumNZ:Number = 0; var sumW:Number = 0; m.e00 = 0; m.e01 = 0; m.e02 = 0; m.e10 = 0; m.e11 = 0; m.e12 = 0; m.e20 = 0; m.e21 = 0; m.e22 = 0; for (var i:int = 0; i < numNeighbors; i++) { var rx:Number = relPosX[i]; var ry:Number = relPosY[i]; var rz:Number = relPosZ[i]; var p:Particle = nearParticles[i]; var w:Number = weight[i]; var r:Mat44 = p.r; sumX += w * (rx * r.e00 + ry * r.e01 + rz * r.e02 + p.x); sumY += w * (rx * r.e10 + ry * r.e11 + rz * r.e12 + p.y); sumZ += w * (rx * r.e20 + ry * r.e21 + rz * r.e22 + p.z); m.e00 += w * r.e00; m.e01 += w * r.e01; m.e02 += w * r.e02; m.e10 += w * r.e10; m.e11 += w * r.e11; m.e12 += w * r.e12; m.e20 += w * r.e20; m.e21 += w * r.e21; m.e22 += w * r.e22; sumW += w; } var invW:Number = 1 / sumW; sumX *= invW; sumY *= invW; sumZ *= invW; m.e00 *= invW; m.e01 *= invW; m.e02 *= invW; m.e10 *= invW; m.e11 *= invW; m.e12 *= invW; m.e20 *= invW; m.e21 *= invW; m.e22 *= invW; vertices[beginIndex] = sumX; vertices[beginIndex + 1] = sumY; vertices[beginIndex + 2] = sumZ; } } class Grid { public static const WORLD_SIZE:int = 400; public static const GRID_SIZE:int = Elastic.RADIUS * 2; public static const NUM_GRIDS:int = (WORLD_SIZE / GRID_SIZE | 0) * 2; public var cells:Vector.>>; public function Grid() { cells = new Vector.>>(NUM_GRIDS, true); for (var i:int = 0; i < NUM_GRIDS; i++) { cells[i] = new Vector.>(NUM_GRIDS, true); for (var j:int = 0; j < NUM_GRIDS; j++) { cells[i][j] = new Vector.(NUM_GRIDS, true); for (var k:int = 0; k < NUM_GRIDS; k++) { cells[i][j][k] = new GridCell(); } } } } [Inline] public final function clear():void { for (var i:int = 0; i < NUM_GRIDS; i++) { for (var j:int = 0; j < NUM_GRIDS; j++) { for (var k:int = 0; k < NUM_GRIDS; k++) { cells[i][j][k].clear(); } } } } [Inline] public final function add(p:Particle):void { var gx:int = toG(p.x); var gy:int = toG(p.y - 350); var gz:int = toG(p.z); p.gx = gx; p.gy = gy; p.gz = gz; cells[gx][gy][gz].add(p); } [Inline] private final function toG(x:Number):int { var g:int = Math.floor(x / GRID_SIZE) | 0; g += NUM_GRIDS >> 1; if (g < 0) g = 0; else if (g >= NUM_GRIDS) g = NUM_GRIDS - 1; return g; } } class GridCell { public static const MAX_PARTICLES:int = 16; public var ps:Vector.; public var numP:int; public function GridCell() { ps = new Vector.(MAX_PARTICLES, true); numP = 0; } public function add(p:Particle):void { if (numP == MAX_PARTICLES) return; ps[numP++] = p; } public function clear():void { numP = 0; } } class World { public var ps:Vector.; public var numP:int; public var ss:Vector.; public var numS:int; public var cs:Vector.; public var numC:int; public var grid:Grid; private var pWall:Particle; public function World() { ps = new Vector.(10000, true); numP = 0; ss = new Vector.(10000, true); numS = 0; cs = new Vector.(65536, true); numC = 0; grid = new Grid(); pWall = new Particle(0, 0, 0, 0, null); pWall.invI = 0; pWall.invM = 0; } public function addParticle(p:Particle):void { ps[numP++] = p; } public function addSpring(s:Spring):void { ss[numS++] = s; var swapTo:int = int(Math.random() * numS); var tmp:Spring = ss[swapTo]; ss[swapTo] = ss[numS - 1]; ss[numS - 1] = tmp; } public function translate(dx:Number, dy:Number, dz:Number):void { for (var i:int = 0; i < numP; i++) { ps[i].x += dx; ps[i].y += dy; ps[i].z += dz; } } public function step():void { // TODO: po var i:int; grid.clear(); numC = 0; for (i = 0; i < numP; i++) { grid.add(ps[i]); } for (i = 0; i < numP; i++) { collisionDetection(ps[i]); ps[i].collisionToBounds(this); } for (var t:int = 0; t < 5; t++) { for (i = 0; i < numS; i++) { ss[i].update(); } for (i = 0; i < numC; i++) { cs[i].solve(); } } for (i = 0; i < numP; i++) { ps[i].update(); } } private function collisionDetection(p:Particle):void { var gx1:int = max(0, p.gx - 1); var gx2:int = min(Grid.NUM_GRIDS - 1, p.gx + 1); var gy1:int = max(0, p.gy - 1); var gy2:int = min(Grid.NUM_GRIDS - 1, p.gy + 1); var gz1:int = max(0, p.gz - 1); var gz2:int = min(Grid.NUM_GRIDS - 1, p.gz + 1); var r2:Number = 4 * Elastic.RADIUS * Elastic.RADIUS; for (var i:int = gx1; i <= gx2; i++) { for (var j:int = gy1; j <= gy2; j++) { for (var k:int = gz1; k <= gz2; k++) { var c:GridCell = grid.cells[i][j][k]; var num:int = c.numP; for (var l:int = 0; l < num; l++) { var p2:Particle = c.ps[l]; if (p.mesh == p2.mesh || p.id < p2.id) continue; var dx:Number = p.x - p2.x; var dy:Number = p.y - p2.y; var dz:Number = p.z - p2.z; if (dx * dx + dy * dy + dz * dz < r2) { addConstraint(p, p2); } } } } } } [Inline] private final function addConstraint(p1:Particle, p2:Particle):void { var dx:Number = p1.x - p2.x; var dy:Number = p1.y - p2.y; var dz:Number = p1.z - p2.z; var d:Number = Math.sqrt(dx * dx + dy * dy + dz * dz); if (d < 1e-5) return; var invD:Number = 1 / d; var nx:Number = dx * invD; var ny:Number = dy * invD; var nz:Number = dz * invD; var overlap:Number = 2 * Elastic.RADIUS - d; if (!cs[numC]) cs[numC] = new Constraint(); cs[numC++].setup(p1, p2, nx, ny, nz, overlap, 0, 0, 0, 0.2); } [Inline] public final function addWallConstraint(p:Particle, nx:Number, ny:Number, nz:Number, overlap:Number, vx:Number, vy:Number, vz:Number):void { if (!cs[numC]) cs[numC] = new Constraint(); cs[numC++].setup(p, pWall, nx, ny, nz, overlap, vx, vy, vz, 0.5); } [Inline] private final function min(a:int, b:int):int { return a < b ? a : b; } [Inline] private final function max(a:int, b:int):int { return a > b ? a : b; } } class Particle { public var x:Number; public var y:Number; public var z:Number; public var vx:Number; public var vy:Number; public var vz:Number; public var avx:Number; public var avy:Number; public var avz:Number; public var invM:Number; public var invI:Number; public var q:Quat; public var r:Mat44; public var radius:Number; public var onGround:Boolean; public var gnx:Number; public var gny:Number; public var gnz:Number; public var distFunc:Function; public var gx:int; public var gy:int; public var gz:int; public var mesh:ElasticMesh; public var indexInMesh:int; private static var idCount:int = 0; public var id:int; public function Particle(x:Number, y:Number, z:Number, radius:Number, distFunc:Function) { this.x = x; this.y = y; this.z = z; this.radius = radius; this.distFunc = distFunc; id = ++idCount; vx = 0; vy = 0; vz = 0; avx = 0; avy = 0; avz = 0; invM = 1 / (radius * radius * radius); invI = 1 / (2 / 3 * radius * radius * (1 / invM)); // suppose radius = 1 q = new Quat(); r = new Mat44(); } [Inline] public final function update():void { var maxDistance:Number = Math.sqrt(vx * vx + vy * vy + vz * vz); var dx:Number = vx; var dy:Number = vy; var dz:Number = vz; if (maxDistance < 1e-5) { x += vx; y += vy; z += vz; } else { var invD:Number = 1 / maxDistance; var totalDistance:Number = 0; dx *= invD; dy *= invD; dz *= invD; var nx:Number = 0; var ny:Number = 0; var nz:Number = 0; var rad:Number = Elastic.RADIUS * 0.9; for (var i:int = 0; i < 20; i++) { var dist:Number = distFunc(x, y, z).d - rad; if (dist < 1e-5) { nx = distFunc(x + 0.1, y, z).d - dist - rad; ny = distFunc(x, y + 0.1, z).d - dist - rad; nz = distFunc(x, y, z + 0.1).d - dist - rad; invD = 1 / Math.sqrt(nx * nx + ny * ny + nz * nz); nx *= invD; ny *= invD; nz *= invD; break; } if (dist > maxDistance) dist = maxDistance; x += dx * dist; y += dy * dist; z += dz * dist; totalDistance += dist; maxDistance -= dist; if (maxDistance < 1e-5) break; } if (maxDistance > 0) { var dn:Number = dx * nx + dy * ny + dz * nz; if (dn > 0) dn = 0; x += (dx - dn * nx) * maxDistance; y += (dy - dn * ny) * maxDistance; z += (dz - dn * nz) * maxDistance; } } vy -= 0.3; var qs:Number = q.s; var qx:Number = q.x; var qy:Number = q.y; var qz:Number = q.z; var ds:Number = (-avx * qx - avy * qy - avz * qz) * 0.5; dx = (avx * qs + avy * qz - avz * qy) * 0.5; dy = (-avx * qz + avy * qs + avz * qx) * 0.5; dz = (avx * qy - avy * qx + avz * qs) * 0.5; qs += ds; qx += dx; qy += dy; qz += dz; var s:Number = 1 / Math.sqrt(qs * qs + qx * qx + qy * qy + qz * qz); q.s = qs * s; q.x = qx * s; q.y = qy * s; q.z = qz * s; qs = q.s; qx = q.x; qy = q.y; qz = q.z; var x2:Number = 2 * qx; var y2:Number = 2 * qy; var z2:Number = 2 * qz; var xx:Number = qx * x2; var yy:Number = qy * y2; var zz:Number = qz * z2; var xy:Number = qx * y2; var yz:Number = qy * z2; var xz:Number = qx * z2; var sx:Number = qs * x2; var sy:Number = qs * y2; var sz:Number = qs * z2; r.e00 = 1 - yy - zz; r.e01 = xy - sz; r.e02 = xz + sy; r.e10 = xy + sz; r.e11 = 1 - xx - zz; r.e12 = yz - sx; r.e20 = xz - sy; r.e21 = yz + sx; r.e22 = 1 - xx - yy; } [Inline] public final function collisionToBounds(w:World):void { var res:DistFuncResult = distFunc(x, y, z); if (res.d < radius) { var ddx:Number = distFunc(x + 1e-3, y, z).d - res.d; var ddy:Number = distFunc(x, y + 1e-3, z).d - res.d; var ddz:Number = distFunc(x, y, z + 1e-3).d - res.d; var len:Number = Math.sqrt(ddx * ddx + ddy * ddy + ddz * ddz); if (len > 0) len = 1 / len; gnx = ddx * len; gny = ddy * len; gnz = ddz * len; w.addWallConstraint(this, gnx, gny, gnz, radius - res.d, res.vx, res.vy, res.vz); onGround = true; } else onGround = false; } } class Constraint { public var p1:Particle; public var p2:Particle; public var denom:Number; public var bias:Number; public var rvnBias:Number; public var nx:Number; public var ny:Number; public var nz:Number; public var normalI:Number; public var tangentIx:Number; public var tangentIy:Number; public var tangentIz:Number; public var mu:Number; public function Constraint() { } [Inline] public final function setup(p1:Particle, p2:Particle, nx:Number, ny:Number, nz:Number, overlap:Number, bvx:Number, bvy:Number, bvz:Number, mu:Number):void { this.p1 = p1; this.p2 = p2; this.nx = nx; this.ny = ny; this.nz = nz; this.mu = mu; denom = 1 / (p1.invM + p2.invM); var e:Number = 0.5; rvnBias = bvx * nx + bvy * ny + bvz * nz; var rvn:Number = (p1.vx - p2.vx) * nx + (p1.vy - p2.vy) * ny + (p1.vz - p2.vz) * nz - rvnBias; if (rvn < 2) rvn = 0; bias = max(rvn * e, overlap * 0.3); normalI = 0; tangentIx = 0; tangentIy = 0; tangentIz = 0; } private function max(a:Number, b:Number):Number { return a > b ? a : b; } [Inline] public final function solve():void { var rvn:Number = (p1.vx - p2.vx) * nx + (p1.vy - p2.vy) * ny + (p1.vz - p2.vz) * nz - rvnBias; rvn = 1 - rvn; var rtx:Number = (p1.vx - p2.vx) * rvn; var rty:Number = (p1.vy - p2.vy) * rvn; var rtz:Number = (p1.vz - p2.vz) * rvn; var itx:Number = denom * -rtx; var ity:Number = denom * -rty; var itz:Number = denom * -rtz; var ptangentIx:Number = tangentIx; var ptangentIy:Number = tangentIy; var ptangentIz:Number = tangentIz; tangentIx += itx; tangentIy += ity; tangentIz += itz; var tangentI:Number = tangentIx * tangentIx + tangentIy * tangentIy + tangentIz * tangentIz; var maxTangentI:Number = normalI * mu; if (tangentI > maxTangentI * maxTangentI) { var factor:Number = maxTangentI / Math.sqrt(tangentI); tangentIx *= factor; tangentIy *= factor; tangentIz *= factor; } var diffIx:Number = tangentIx - ptangentIx; var diffIy:Number = tangentIy - ptangentIy; var diffIz:Number = tangentIz - ptangentIz; p1.vx += diffIx * p1.invM; p1.vy += diffIy * p1.invM; p1.vz += diffIz * p1.invM; p2.vx -= diffIx * p2.invM; p2.vy -= diffIy * p2.invM; p2.vz -= diffIz * p2.invM; rvn = (p1.vx - p2.vx) * nx + (p1.vy - p2.vy) * ny + (p1.vz - p2.vz) * nz - rvnBias; var imp:Number = denom * (bias - rvn); var pnormalI:Number = normalI; normalI += imp; if (normalI < 0) normalI = 0; var diffI:Number = normalI - pnormalI; p1.vx += nx * diffI * p1.invM; p1.vy += ny * diffI * p1.invM; p1.vz += nz * diffI * p1.invM; p2.vx -= nx * diffI * p2.invM; p2.vy -= ny * diffI * p2.invM; p2.vz -= nz * diffI * p2.invM; } } class Spring { public var p1:Particle; public var p2:Particle; // local anchor public var la1x:Number; public var la1y:Number; public var la1z:Number; public var la2x:Number; public var la2y:Number; public var la2z:Number; public var k:Number; public var ka:Number; public function Spring(p1:Particle, p2:Particle) { // assuming p1.q == p2.q == Quat(1, 0, 0, 0) this.p1 = p1; this.p2 = p2; var x:Number = (p1.x + p2.x) * 0.5; var y:Number = (p1.y + p2.y) * 0.5; var z:Number = (p1.z + p2.z) * 0.5; la1x = x - p1.x; la1y = y - p1.y; la1z = z - p1.z; la2x = x - p2.x; la2y = y - p2.y; la2z = z - p2.z; var stiffness:Number = 0.3; var coeff:Number = stiffness / (p1.invM + p2.invM); k = 1 * coeff; ka = 0.3; } [Inline] public final function update():void { const r1:Mat44 = p1.r; const r2:Mat44 = p2.r; const a1x:Number = la1x * r1.e00 + la1y * r1.e01 + la1z * r1.e02; const a1y:Number = la1x * r1.e10 + la1y * r1.e11 + la1z * r1.e12; const a1z:Number = la1x * r1.e20 + la1y * r1.e21 + la1z * r1.e22; const a2x:Number = la2x * r2.e00 + la2y * r2.e01 + la2z * r2.e02; const a2y:Number = la2x * r2.e10 + la2y * r2.e11 + la2z * r2.e12; const a2z:Number = la2x * r2.e20 + la2y * r2.e21 + la2z * r2.e22; const rv1x:Number = p1.vx + p1.avy * a1z - p1.avz * a1y; const rv1y:Number = p1.vy + p1.avz * a1x - p1.avx * a1z; const rv1z:Number = p1.vz + p1.avx * a1y - p1.avy * a1x; const rv2x:Number = p2.vx + p2.avy * a2z - p2.avz * a2y; const rv2y:Number = p2.vy + p2.avz * a2x - p2.avx * a2z; const rv2z:Number = p2.vz + p2.avx * a2y - p2.avy * a2x; const dx:Number = p1.x + rv1x - p2.x - rv2x + a1x - a2x; const dy:Number = p1.y + rv1y - p2.y - rv2y + a1y - a2y; const dz:Number = p1.z + rv1z - p2.z - rv2z + a1z - a2z; var l:Number = Math.sqrt(dx * dx + dy * dy + dz * dz); const diff:Number = -l; var invL:Number = l > 1e-5 ? 1 / l : 0; const nx:Number = dx * invL; const ny:Number = dy * invL; const nz:Number = dz * invL; // velocity = linearVelocity + angularVelocity x relativePosition const f:Number = diff * k; const fx:Number = nx * f; const fy:Number = ny * f; const fz:Number = nz * f; p1.vx += fx * p1.invM; p1.vy += fy * p1.invM; p1.vz += fz * p1.invM; p2.vx -= fx * p2.invM; p2.vy -= fy * p2.invM; p2.vz -= fz * p2.invM; const t1x:Number = a1y * fz - a1z * fy; const t1y:Number = a1z * fx - a1x * fz; const t1z:Number = a1x * fy - a1y * fx; const t2x:Number = a2y * fz - a2z * fy; const t2y:Number = a2z * fx - a2x * fz; const t2z:Number = a2x * fy - a2y * fx; p1.avx += t1x * p1.invI; p1.avy += t1y * p1.invI; p1.avz += t1z * p1.invI; p2.avx -= t2x * p2.invI; p2.avy -= t2y * p2.invI; p2.avz -= t2z * p2.invI; // angular spring const q1s:Number = p1.q.s; const q1x:Number = p1.q.x; const q1y:Number = p1.q.y; const q1z:Number = p1.q.z; const q2s:Number = p2.q.s; const q2x:Number = -p2.q.x; const q2y:Number = -p2.q.y; const q2z:Number = -p2.q.z; var rqs:Number = q1s * q2s - q1x * q2x - q1y * q2y - q1z * q2z; var rqx:Number = q1s * q2x + q1x * q2s + q1y * q2z - q1z * q2y; var rqy:Number = q1s * q2y - q1x * q2z + q1y * q2s + q1z * q2x; var rqz:Number = q1s * q2z + q1x * q2y - q1y * q2x + q1z * q2s; if (rqs > 1) rqs = 1; else if (rqs < -1) rqs = -1; const theta:Number = 2 * Math.acos(rqs); const t:Number = -theta; l = Math.sqrt(rqx * rqx + rqy * rqy + rqz * rqz); invL = l > 1e-5 ? 1 / l : 0; rqx *= invL * t; rqy *= invL * t; rqz *= invL * t; const tx:Number = (rqx - (p1.avx - p2.avx)) * ka; const ty:Number = (rqy - (p1.avy - p2.avy)) * ka; const tz:Number = (rqz - (p1.avz - p2.avz)) * ka; p1.avx += tx; p1.avy += ty; p1.avz += tz; p2.avx -= tx; p2.avy -= ty; p2.avz -= tz; } } import com.adobe.utils.AGALMiniAssembler; import com.element.oimo.ogsl.OGSL; import flash.display3D.Context3D; import flash.display3D.IndexBuffer3D; import flash.display3D.Program3D; import flash.display3D.VertexBuffer3D; import flash.utils.ByteArray; class ShrGL { private var c3d:Context3D; private var w:uint; private var h:uint; private var aspect:Number; private var worldM:Mat44; private var viewM:Mat44; private var projM:Mat44; private var up:Vector.; private var stackM:Vector.; private var numStack:uint; private var vertexB:Vector.; private var numVerticesB:Vector.; private var indexB:Vector.; private var numIndicesB:Vector.; private var programs:Vector.; private var ogsls:Vector.; private var vertexCodes:Vector.; private var fragmentCodes:Vector.; public function ShrGL(c3d:Context3D, w:uint, h:uint) { this.c3d = c3d; c3d.setCulling("front"); // ClockWise c3d.configureBackBuffer(w, h, 0); this.w = w; this.h = h; aspect = w / h; worldM = new Mat44(); viewM = new Mat44(); projM = new Mat44(); up = new Vector.(4, true); stackM = new Vector.(256, true); vertexB = new Vector.(256, true); numVerticesB = new Vector.(256, true); indexB = new Vector.(256, true); numIndicesB = new Vector.(256, true); programs = new Vector.(64, true); ogsls = new Vector.(64, true); vertexCodes = new Vector.(64, true); fragmentCodes = new Vector.(64, true); numStack = 0; } public function getContext3D():Context3D { return c3d; } public function camera( ex:Number, ey:Number, ez:Number, tx:Number = 0, ty:Number = 0, tz:Number = 0, ux:Number = 0, uy:Number = 1, uz:Number = 0 ):void { viewM.viewMatrix(ex, ey, ez, tx, ty, tz, ux, uy, uz); } public function perspective(fovY:Number, near:Number = 0.5, far:Number = 2000):void { projM.perspectiveMatrix(fovY, aspect, near, far); } public function beginScene(r:Number, g:Number, b:Number):void { c3d.clear(r, g, b); } public function endScene():void { c3d.present(); } [Inline] public final function setProgramConstantsMatrix(type:String, index:uint, m:Mat44):void { up[0] = m.e00; up[1] = m.e01; up[2] = m.e02; up[3] = m.e03; c3d.setProgramConstantsFromVector(type, index, up); up[0] = m.e10; up[1] = m.e11; up[2] = m.e12; up[3] = m.e13; c3d.setProgramConstantsFromVector(type, index + 1, up); up[0] = m.e20; up[1] = m.e21; up[2] = m.e22; up[3] = m.e23; c3d.setProgramConstantsFromVector(type, index + 2, up); up[0] = m.e30; up[1] = m.e31; up[2] = m.e32; up[3] = m.e33; c3d.setProgramConstantsFromVector(type, index + 3, up); } [Inline] public final function setProgramConstantsVector(type:String, index:uint, v:Vec3):void { up[0] = v.x; up[1] = v.y; up[2] = v.z; up[3] = 1; c3d.setProgramConstantsFromVector(type, index, up); } [Inline] public final function setProgramConstantsNumber(type:String, index:uint, x:Number, y:Number, z:Number, w:Number):void { up[0] = x; up[1] = y; up[2] = z; up[3] = w; c3d.setProgramConstantsFromVector(type, index, up); } public function registerProgram(programIndex:uint):void { if (programs[programIndex]) { programs[programIndex].dispose(); } ogsls[programIndex] = new OGSL(); ogsls[programIndex].setContext3D(c3d); programs[programIndex] = c3d.createProgram(); vertexCodes[programIndex] = null; fragmentCodes[programIndex] = null; } public function compileShader(programIndex:uint, ogslCode:String, alternateVertexAGAL:String = null):void { var ogsl:OGSL = ogsls[programIndex]; ogsl.compile(ogslCode); uploadVertexShader(programIndex, alternateVertexAGAL != null ? alternateVertexAGAL : ogsl.getVertexAGAL()); uploadFragmentShader(programIndex, ogsl.getFragmentAGAL()); } [Inline] public final function getOGSL(programIndex:uint):OGSL { return ogsls[programIndex]; } public function uploadVertexShader(programIndex:uint, vertexShaderCode:String):void { trace("vtx:\n" + vertexShaderCode); var agal:AGALMiniAssembler = new AGALMiniAssembler(); agal.assemble("vertex", vertexShaderCode, 2); vertexCodes[programIndex] = agal.agalcode; if (fragmentCodes[programIndex]) { programs[programIndex].upload(vertexCodes[programIndex], fragmentCodes[programIndex]); } } public function uploadFragmentShader(programIndex:uint, fragmentShaderCode:String):void { trace("frg:\n" + fragmentShaderCode); var agal:AGALMiniAssembler = new AGALMiniAssembler(); agal.assemble("fragment", fragmentShaderCode, 2); fragmentCodes[programIndex] = agal.agalcode; if (vertexCodes[programIndex]) { programs[programIndex].upload(vertexCodes[programIndex], fragmentCodes[programIndex]); } } public function createBasicFragmentShaderCode( vertexPositionIndex:uint, vertexNormalIndex:uint, programColorIndex:uint, programAmbDifEmiIndex:uint, programSpcShnIndex:uint, programAmbLightColorIndex:uint, programDirLightColorIndex:uint, programDirLightDirectionIndex:uint, programCameraPosIndex:uint ):String { var pos:String = "v" + vertexPositionIndex; var nor:String = "v" + vertexNormalIndex; var col:String = "fc" + programColorIndex; var mat:String = "fc" + programAmbDifEmiIndex; var spc:String = "fc" + programSpcShnIndex; var alc:String = "fc" + programAmbLightColorIndex; var dlc:String = "fc" + programDirLightColorIndex; var dld:String = "fc" + programDirLightDirectionIndex; var cam:String = "fc" + programCameraPosIndex; var code:String = "nrm ft1.xyz, " + nor + ".xyz \n" + // ft1 = normal "mov ft2, " + col + " \n" + // ft2 = col "mul ft0, ft2, " + alc + " \n" + // ft0 = ambColor "mul ft0, ft0.xyz, " + mat + ".xxx \n" + // ft0 = ft0 * ambFactor "mul ft3, ft2, " + dlc + " \n" + // ft3 = dirColor "mul ft3, ft3.xyz, " + mat + ".yyy \n" + // ft3 = ft2 * dirFactor "mov ft4, " + dld + " \n" + // ft4 = lightDir "neg ft4, ft4 \n" + // ft4 = -ft4 "nrm ft4.xyz, ft4.xyz \n" + // ft4 = nrm(ft4) "dp3 ft0.w, ft1.xyz, ft4.xyz \n" + // dot = normal * lightDir "sat ft0.w, ft0.w \n" + // dot = sat(dot) "mul ft3, ft3.xyz, ft0.www \n" + // ft3 = ft3 * dot "add ft0, ft0, ft3 \n" + // ft0 = ft0 + ft3 "mul ft3, ft1.xyz, ft0.www \n" + // ft3 = normal * dot "add ft3, ft3, ft3 \n" + // ft3 = ft3 * 2 "sub ft3, ft3, ft4 \n" + // ft3 = ft3 - lightDir "nrm ft3.xyz, ft3.xyz \n" + // ft3 = nrm(ft3) "mov ft5, " + cam + " \n" + // ft5 = cam "sub ft5, ft5, " + pos + " \n" + // ft5 = ft5 - pos "nrm ft5.xyz, ft5.xyz \n" + // ft5 = nrm(ft5) "dp3 ft3.w, ft3.xyz, ft5.xyz \n" + // ref = ft3 * ft5 "sat ft3.w, ft3.w \n" + // ref = sat(ref) "pow ft3.w, ft3.w, " + spc + ".yyy \n" + // ref = ref ^ shn "mul ft3, ft3.www, " + dlc + ".xyz \n" + // rfc = ref * dirColor "mul ft3, ft3, " + spc + ".xxx \n" + // rfc = rfc * spc "sub ft3.w, ft3.w, ft3.w \n" + // zer = zer - zer "slt ft3.w, ft3.w, ft0.w \n" + // zer = zer < dot ? 1 : 0 "mul ft3, ft3, ft3.www \n" + // rfc = rfc * zer "add ft0, ft0, ft3 \n" + // ft0 = ft0 + rfc "mov oc, ft0 \n" // col = ft0 ; return code; } public function registerBuffer(bufferIndex:uint, numVertices:uint, variablePerVertex:uint, numIndices:uint):void { if (vertexB[bufferIndex]) { vertexB[bufferIndex].dispose(); indexB[bufferIndex].dispose(); } vertexB[bufferIndex] = c3d.createVertexBuffer(numVertices, variablePerVertex); numVerticesB[bufferIndex] = numVertices; indexB[bufferIndex] = c3d.createIndexBuffer(numIndices); numIndicesB[bufferIndex] = numIndices; } public function setProgram(programIndex:uint):void { c3d.setProgram(programs[programIndex]); } public function uploadVertexBuffer(bufferIndex:uint, vertices:Vector.):void { vertexB[bufferIndex].uploadFromVector(vertices, 0, numVerticesB[bufferIndex]); } public function uploadIndexBuffer(bufferIndex:uint, indices:Vector.):void { indexB[bufferIndex].uploadFromVector(indices, 0, numIndicesB[bufferIndex]); } public function bindVertexAttribute(bufferIndex:uint, index:uint, offset:uint, type:String):void { c3d.setVertexBufferAt(index, vertexB[bufferIndex], offset, type); } public function unbindVertexAttributes():void { c3d.setVertexBufferAt(0, null); c3d.setVertexBufferAt(1, null); c3d.setVertexBufferAt(2, null); c3d.setVertexBufferAt(3, null); c3d.setVertexBufferAt(4, null); c3d.setVertexBufferAt(5, null); c3d.setVertexBufferAt(6, null); c3d.setVertexBufferAt(7, null); } [Inline] public final function drawTriangles(bufferIndex:uint):void { c3d.drawTriangles(indexB[bufferIndex]); } [Inline] public final function translate(tx:Number, ty:Number, tz:Number):void { worldM.translate(worldM, tx, ty, tz); } [Inline] public final function scale(sx:Number, sy:Number, sz:Number):void { worldM.scale(worldM, sx, sy, sz); } [Inline] public final function rotate(rad:Number, ax:Number, ay:Number, az:Number):void { worldM.rotate(worldM, rad, ax, ay, az); } [Inline] public final function transform(m:Mat44):void { worldM.mul(worldM, m); } public function push():void { if (numStack < 256) { if (!stackM[numStack]) stackM[numStack] = new Mat44(); stackM[numStack++].copy(worldM); } else { throw new Error("too many stacks."); } } public function pop():void { if (numStack > 0) { worldM.copy(stackM[--numStack]); } else { throw new Error("there is no stack."); } } public function loadWorldMatrix(m:Mat44):void { worldM.copy(m); } public function loadViewMatrix(m:Mat44):void { viewM.copy(m); } public function loadProjectionMatrix(m:Mat44):void { projM.copy(m); } public function getWorldMatrix(m:Mat44):void { m.copy(worldM); } public function getViewMatrix(m:Mat44):void { m.copy(viewM); } public function getProjectionMatrix(m:Mat44):void { m.copy(projM); } } class Mat44 { public var e00:Number, e01:Number, e02:Number, e03:Number; public var e10:Number, e11:Number, e12:Number, e13:Number; public var e20:Number, e21:Number, e22:Number, e23:Number; public var e30:Number, e31:Number, e32:Number, e33:Number; public function Mat44( e00:Number = 1, e01:Number = 0, e02:Number = 0, e03:Number = 0, e10:Number = 0, e11:Number = 1, e12:Number = 0, e13:Number = 0, e20:Number = 0, e21:Number = 0, e22:Number = 1, e23:Number = 0, e30:Number = 0, e31:Number = 0, e32:Number = 0, e33:Number = 1 ) { this.e00 = e00; this.e01 = e01; this.e02 = e02; this.e03 = e03; this.e10 = e10; this.e11 = e11; this.e12 = e12; this.e13 = e13; this.e20 = e20; this.e21 = e21; this.e22 = e22; this.e23 = e23; this.e30 = e30; this.e31 = e31; this.e32 = e32; this.e33 = e33; } public function init( e00:Number = 1, e01:Number = 0, e02:Number = 0, e03:Number = 0, e10:Number = 0, e11:Number = 1, e12:Number = 0, e13:Number = 0, e20:Number = 0, e21:Number = 0, e22:Number = 1, e23:Number = 0, e30:Number = 0, e31:Number = 0, e32:Number = 0, e33:Number = 1 ):void { this.e00 = e00; this.e01 = e01; this.e02 = e02; this.e03 = e03; this.e10 = e10; this.e11 = e11; this.e12 = e12; this.e13 = e13; this.e20 = e20; this.e21 = e21; this.e22 = e22; this.e23 = e23; this.e30 = e30; this.e31 = e31; this.e32 = e32; this.e33 = e33; } [Inline] public final function add(m1:Mat44, m2:Mat44):void { e00 = m1.e00 + m2.e00; e01 = m1.e01 + m2.e01; e02 = m1.e02 + m2.e02; e03 = m1.e03 + m2.e03; e10 = m1.e10 + m2.e10; e11 = m1.e11 + m2.e11; e12 = m1.e12 + m2.e12; e13 = m1.e13 + m2.e13; e20 = m1.e20 + m2.e20; e21 = m1.e21 + m2.e21; e22 = m1.e22 + m2.e22; e23 = m1.e23 + m2.e23; e30 = m1.e30 + m2.e30; e31 = m1.e31 + m2.e31; e32 = m1.e32 + m2.e32; e33 = m1.e33 + m2.e33; } [Inline] public final function sub(m1:Mat44, m2:Mat44):void { e00 = m1.e00 - m2.e00; e01 = m1.e01 - m2.e01; e02 = m1.e02 - m2.e02; e03 = m1.e03 - m2.e03; e10 = m1.e10 - m2.e10; e11 = m1.e11 - m2.e11; e12 = m1.e12 - m2.e12; e13 = m1.e13 - m2.e13; e20 = m1.e20 - m2.e20; e21 = m1.e21 - m2.e21; e22 = m1.e22 - m2.e22; e23 = m1.e23 - m2.e23; e30 = m1.e30 - m2.e30; e31 = m1.e31 - m2.e31; e32 = m1.e32 - m2.e32; e33 = m1.e33 - m2.e33; } [Inline] public final function mul(m1:Mat44, m2:Mat44):void { var t00:Number = m1.e00 * m2.e00 + m1.e01 * m2.e10 + m1.e02 * m2.e20 + m1.e03 * m2.e30; var t01:Number = m1.e00 * m2.e01 + m1.e01 * m2.e11 + m1.e02 * m2.e21 + m1.e03 * m2.e31; var t02:Number = m1.e00 * m2.e02 + m1.e01 * m2.e12 + m1.e02 * m2.e22 + m1.e03 * m2.e32; var t03:Number = m1.e00 * m2.e03 + m1.e01 * m2.e13 + m1.e02 * m2.e23 + m1.e03 * m2.e33; var t10:Number = m1.e10 * m2.e00 + m1.e11 * m2.e10 + m1.e12 * m2.e20 + m1.e13 * m2.e30; var t11:Number = m1.e10 * m2.e01 + m1.e11 * m2.e11 + m1.e12 * m2.e21 + m1.e13 * m2.e31; var t12:Number = m1.e10 * m2.e02 + m1.e11 * m2.e12 + m1.e12 * m2.e22 + m1.e13 * m2.e32; var t13:Number = m1.e10 * m2.e03 + m1.e11 * m2.e13 + m1.e12 * m2.e23 + m1.e13 * m2.e33; var t20:Number = m1.e20 * m2.e00 + m1.e21 * m2.e10 + m1.e22 * m2.e20 + m1.e23 * m2.e30; var t21:Number = m1.e20 * m2.e01 + m1.e21 * m2.e11 + m1.e22 * m2.e21 + m1.e23 * m2.e31; var t22:Number = m1.e20 * m2.e02 + m1.e21 * m2.e12 + m1.e22 * m2.e22 + m1.e23 * m2.e32; var t23:Number = m1.e20 * m2.e03 + m1.e21 * m2.e13 + m1.e22 * m2.e23 + m1.e23 * m2.e33; var t30:Number = m1.e30 * m2.e00 + m1.e31 * m2.e10 + m1.e32 * m2.e20 + m1.e33 * m2.e30; var t31:Number = m1.e30 * m2.e01 + m1.e31 * m2.e11 + m1.e32 * m2.e21 + m1.e33 * m2.e31; var t32:Number = m1.e30 * m2.e02 + m1.e31 * m2.e12 + m1.e32 * m2.e22 + m1.e33 * m2.e32; var t33:Number = m1.e30 * m2.e03 + m1.e31 * m2.e13 + m1.e32 * m2.e23 + m1.e33 * m2.e33; e00 = t00; e01 = t01; e02 = t02; e03 = t03; e10 = t10; e11 = t11; e12 = t12; e13 = t13; e20 = t20; e21 = t21; e22 = t22; e23 = t23; e30 = t30; e31 = t31; e32 = t32; e33 = t33; } public function scale(m:Mat44, sx:Number, sy:Number, sz:Number, prepend:Boolean = false):void { var t00:Number, t01:Number, t02:Number, t03:Number; var t10:Number, t11:Number, t12:Number, t13:Number; var t20:Number, t21:Number, t22:Number, t23:Number; var t30:Number, t31:Number, t32:Number, t33:Number; if (prepend) { t00 = sx * m.e00; t01 = sx * m.e01; t02 = sx * m.e02; t03 = sx * m.e03; t10 = sy * m.e10; t11 = sy * m.e11; t12 = sy * m.e12; t13 = sy * m.e13; t20 = sz * m.e20; t21 = sz * m.e21; t22 = sz * m.e22; t23 = sz * m.e23; t30 = m.e30; t31 = m.e31; t32 = m.e32; t33 = m.e33; } else { t00 = m.e00 * sx; t01 = m.e01 * sy; t02 = m.e02 * sz; t03 = m.e03; t10 = m.e10 * sx; t11 = m.e11 * sy; t12 = m.e12 * sz; t13 = m.e13; t20 = m.e20 * sx; t21 = m.e21 * sy; t22 = m.e22 * sz; t23 = m.e23; t30 = m.e30 * sx; t31 = m.e31 * sy; t32 = m.e32 * sz; t33 = m.e33; } e00 = t00; e01 = t01; e02 = t02; e03 = t03; e10 = t10; e11 = t11; e12 = t12; e13 = t13; e20 = t20; e21 = t21; e22 = t22; e23 = t23; e30 = t30; e31 = t31; e32 = t32; e33 = t33; } public function rotate(m:Mat44, rad:Number, ax:Number, ay:Number, az:Number, prepend:Boolean = false):void { var s:Number = Math.sin(rad); var c:Number = Math.cos(rad); var c1:Number = 1 - c; var r00:Number = ax * ax * c1 + c; var r01:Number = ax * ay * c1 - az * s; var r02:Number = ax * az * c1 + ay * s; var r10:Number = ay * ax * c1 + az * s; var r11:Number = ay * ay * c1 + c; var r12:Number = ay * az * c1 - ax * s; var r20:Number = az * ax * c1 - ay * s; var r21:Number = az * ay * c1 + ax * s; var r22:Number = az * az * c1 + c; var t00:Number, t01:Number, t02:Number, t03:Number; var t10:Number, t11:Number, t12:Number, t13:Number; var t20:Number, t21:Number, t22:Number, t23:Number; var t30:Number, t31:Number, t32:Number, t33:Number; if (prepend) { t00 = r00 * m.e00 + r01 * m.e10 + r02 * m.e20; t01 = r00 * m.e01 + r01 * m.e11 + r02 * m.e21; t02 = r00 * m.e02 + r01 * m.e12 + r02 * m.e22; t03 = r00 * m.e03 + r01 * m.e13 + r02 * m.e23; t10 = r10 * m.e00 + r11 * m.e10 + r12 * m.e20; t11 = r10 * m.e01 + r11 * m.e11 + r12 * m.e21; t12 = r10 * m.e02 + r11 * m.e12 + r12 * m.e22; t13 = r10 * m.e03 + r11 * m.e13 + r12 * m.e23; t20 = r20 * m.e00 + r21 * m.e10 + r22 * m.e20; t21 = r20 * m.e01 + r21 * m.e11 + r22 * m.e21; t22 = r20 * m.e02 + r21 * m.e12 + r22 * m.e22; t23 = r20 * m.e03 + r21 * m.e13 + r22 * m.e23; t30 = m.e30; t31 = m.e31; t32 = m.e32; t33 = m.e33; } else { t00 = m.e00 * r00 + m.e01 * r10 + m.e02 * r20; t01 = m.e00 * r01 + m.e01 * r11 + m.e02 * r21; t02 = m.e00 * r02 + m.e01 * r12 + m.e02 * r22; t03 = m.e03; t10 = m.e10 * r00 + m.e11 * r10 + m.e12 * r20; t11 = m.e10 * r01 + m.e11 * r11 + m.e12 * r21; t12 = m.e10 * r02 + m.e11 * r12 + m.e12 * r22; t13 = m.e13; t20 = m.e20 * r00 + m.e21 * r10 + m.e22 * r20; t21 = m.e20 * r01 + m.e21 * r11 + m.e22 * r21; t22 = m.e20 * r02 + m.e21 * r12 + m.e22 * r22; t23 = m.e23; t30 = m.e30 * r00 + m.e31 * r10 + m.e32 * r20; t31 = m.e30 * r01 + m.e31 * r11 + m.e32 * r21; t32 = m.e30 * r02 + m.e31 * r12 + m.e32 * r22; t33 = m.e33; } e00 = t00; e01 = t01; e02 = t02; e03 = t03; e10 = t10; e11 = t11; e12 = t12; e13 = t13; e20 = t20; e21 = t21; e22 = t22; e23 = t23; e30 = t30; e31 = t31; e32 = t32; e33 = t33; } public function translate(m:Mat44, tx:Number, ty:Number, tz:Number, prepend:Boolean = false):void { var t00:Number, t01:Number, t02:Number, t03:Number; var t10:Number, t11:Number, t12:Number, t13:Number; var t20:Number, t21:Number, t22:Number, t23:Number; var t30:Number, t31:Number, t32:Number, t33:Number; if (prepend) { t00 = m.e00 + tx * m.e30; t01 = m.e01 + tx * m.e31; t02 = m.e02 + tx * m.e32; t03 = m.e03 + tx * m.e33; t10 = m.e10 + ty * m.e30; t11 = m.e11 + ty * m.e31; t12 = m.e12 + ty * m.e32; t13 = m.e13 + ty * m.e33; t20 = m.e20 + tz * m.e30; t21 = m.e21 + tz * m.e31; t22 = m.e22 + tz * m.e32; t23 = m.e23 + tz * m.e33; t30 = m.e30; t31 = m.e31; t32 = m.e32; t33 = m.e33; } else { t00 = m.e00; t01 = m.e01; t02 = m.e02; t03 = m.e00 * tx + m.e01 * ty + m.e02 * tz + m.e03; t10 = m.e10; t11 = m.e11; t12 = m.e12; t13 = m.e10 * tx + m.e11 * ty + m.e12 * tz + m.e13; t20 = m.e20; t21 = m.e21; t22 = m.e22; t23 = m.e20 * tx + m.e21 * ty + m.e22 * tz + m.e23; t30 = m.e30; t31 = m.e31; t32 = m.e32; t33 = m.e30 * tx + m.e31 * ty + m.e32 * tz + m.e33; } e00 = t00; e01 = t01; e02 = t02; e03 = t03; e10 = t10; e11 = t11; e12 = t12; e13 = t13; e20 = t20; e21 = t21; e22 = t22; e23 = t23; e30 = t30; e31 = t31; e32 = t32; e33 = t33; } [Inline] public final function invert(m:Mat44):void { var e1021_1120:Number = m.e10 * m.e21 - m.e11 * m.e20; var e1022_1220:Number = m.e10 * m.e22 - m.e12 * m.e20; var e1023_1320:Number = m.e10 * m.e23 - m.e13 * m.e20; var e1031_1130:Number = m.e10 * m.e31 - m.e11 * m.e30; var e1032_1230:Number = m.e10 * m.e32 - m.e12 * m.e30; var e1033_1330:Number = m.e10 * m.e33 - m.e13 * m.e30; var e1122_1221:Number = m.e11 * m.e22 - m.e12 * m.e21; var e1123_1321:Number = m.e11 * m.e23 - m.e13 * m.e21; var e1132_1231:Number = m.e11 * m.e32 - m.e12 * m.e31; var e1133_1331:Number = m.e11 * m.e33 - m.e13 * m.e31; var e1220_2022:Number = m.e12 * m.e20 - m.e20 * m.e22; var e1223_1322:Number = m.e12 * m.e23 - m.e13 * m.e22; var e1223_2223:Number = m.e12 * m.e33 - m.e22 * m.e23; var e1233_1332:Number = m.e12 * m.e33 - m.e13 * m.e32; var e2031_2130:Number = m.e20 * m.e31 - m.e21 * m.e30; var e2032_2033:Number = m.e20 * m.e32 - m.e20 * m.e33; var e2032_2230:Number = m.e20 * m.e32 - m.e22 * m.e30; var e2033_2330:Number = m.e20 * m.e33 - m.e23 * m.e30; var e2132_2231:Number = m.e21 * m.e32 - m.e22 * m.e31; var e2133_2331:Number = m.e21 * m.e33 - m.e23 * m.e31; var e2230_2330:Number = m.e22 * m.e30 - m.e23 * m.e30; var e2233_2332:Number = m.e22 * m.e33 - m.e23 * m.e32; var det:Number = m.e00 * (m.e11 * e2233_2332 - m.e12 * e2133_2331 + m.e13 * e2132_2231) + m.e01 * (-m.e10 * e2233_2332 - m.e12 * e2032_2033 + m.e13 * e2230_2330) + m.e02 * (m.e10 * e2133_2331 - m.e11 * e2033_2330 + m.e13 * e2031_2130) + m.e03 * (-m.e10 * e2132_2231 + m.e11 * e2032_2230 - m.e12 * e2031_2130) ; if (det != 0) det = 1 / det; var t00:Number = m.e11 * e2233_2332 - m.e12 * e2133_2331 + m.e13 * e2132_2231; var t01:Number = -m.e01 * e2233_2332 + m.e02 * e2133_2331 - m.e03 * e2132_2231; var t02:Number = m.e01 * e1233_1332 - m.e02 * e1133_1331 + m.e03 * e1132_1231; var t03:Number = -m.e01 * e1223_2223 + m.e02 * e1123_1321 - m.e03 * e1122_1221; var t10:Number = -m.e10 * e2233_2332 + m.e12 * e2033_2330 - m.e13 * e2032_2230; var t11:Number = m.e00 * e2233_2332 - m.e02 * e2033_2330 + m.e03 * e2032_2230; var t12:Number = -m.e00 * e1233_1332 + m.e02 * e1033_1330 - m.e03 * e1032_1230; var t13:Number = m.e00 * e1223_1322 - m.e02 * e1023_1320 - m.e03 * e1220_2022; var t20:Number = m.e10 * e2133_2331 - m.e11 * e2033_2330 + m.e13 * e2031_2130; var t21:Number = -m.e00 * e2133_2331 + m.e01 * e2033_2330 - m.e03 * e2031_2130; var t22:Number = m.e00 * e1133_1331 - m.e01 * e1033_1330 + m.e03 * e1031_1130; var t23:Number = -m.e00 * e1123_1321 + m.e01 * e1023_1320 - m.e03 * e1021_1120; var t30:Number = -m.e10 * e2132_2231 + m.e11 * e2032_2230 - m.e12 * e2031_2130; var t31:Number = m.e00 * e2132_2231 - m.e01 * e2032_2230 + m.e02 * e2031_2130; var t32:Number = -m.e00 * e1132_1231 + m.e01 * e1032_1230 - m.e02 * e1031_1130; var t33:Number = m.e00 * e1122_1221 - m.e01 * e1022_1220 + m.e02 * e1021_1120; e00 = det * t00; e01 = det * t01; e02 = det * t02; e03 = det * t03; e10 = det * t10; e11 = det * t11; e12 = det * t12; e13 = det * t13; e20 = det * t20; e21 = det * t21; e22 = det * t22; e23 = det * t23; e30 = det * t30; e31 = det * t31; e32 = det * t32; e33 = det * t33; } [Inline] public final function transpose(m:Mat44):void { var t00:Number = m.e00, t01:Number = m.e10, t02:Number = m.e20, t03:Number = m.e30; var t10:Number = m.e01, t11:Number = m.e11, t12:Number = m.e21, t13:Number = m.e31; var t20:Number = m.e02, t21:Number = m.e12, t22:Number = m.e22, t23:Number = m.e32; var t30:Number = m.e03, t31:Number = m.e13, t32:Number = m.e23, t33:Number = m.e33; e00 = t00; e01 = t01; e02 = t02; e03 = t03; e10 = t10; e11 = t11; e12 = t12; e13 = t13; e20 = t20; e21 = t21; e22 = t22; e23 = t23; e30 = t30; e31 = t31; e32 = t32; e33 = t33; } [Inline] public final function quaternion(q:Quat):void { var x2:Number = 2 * q.x; var y2:Number = 2 * q.y; var z2:Number = 2 * q.z; var xx:Number = q.x * x2; var yy:Number = q.y * y2; var zz:Number = q.z * z2; var xy:Number = q.x * y2; var yz:Number = q.y * z2; var xz:Number = q.x * z2; var sx:Number = q.s * x2; var sy:Number = q.s * y2; var sz:Number = q.s * z2; e00 = 1 - yy - zz; e01 = xy - sz; e02 = xz + sy; e03 = 0; e10 = xy + sz; e11 = 1 - xx - zz; e12 = yz - sx; e13 = 0; e20 = xz - sy; e21 = yz + sx; e22 = 1 - xx - yy; e23 = 0; e30 = 0; e31 = 0; e32 = 0; e33 = 1; } [Inline] public final function viewMatrix( ex:Number, ey:Number, ez:Number, tx:Number, ty:Number, tz:Number, ux:Number, uy:Number, uz:Number ):void { var zx:Number = ex - tx; var zy:Number = ey - ty; var zz:Number = ez - tz; var tmp:Number = 1 / Math.sqrt(zx * zx + zy * zy + zz * zz); zx *= tmp; zy *= tmp; zz *= tmp; var xx:Number = uy * zz - uz * zy; var xy:Number = uz * zx - ux * zz; var xz:Number = ux * zy - uy * zx; tmp = 1 / Math.sqrt(xx * xx + xy * xy + xz * xz); xx *= tmp; xy *= tmp; xz *= tmp; var yx:Number = zy * xz - zz * xy; var yy:Number = zz * xx - zx * xz; var yz:Number = zx * xy - zy * xx; e00 = xx; e01 = xy; e02 = xz; e03 = -(xx * ex + xy * ey + xz * ez); e10 = yx; e11 = yy; e12 = yz; e13 = -(yx * ex + yy * ey + yz * ez); e20 = zx; e21 = zy; e22 = zz; e23 = -(zx * ex + zy * ey + zz * ez); e30 = 0; e31 = 0; e32 = 0; e33 = 1; } [Inline] public final function perspectiveMatrix(fovY:Number, aspect:Number, near:Number, far:Number):void { var h:Number = 1 / Math.tan(fovY * 0.5); var fnf:Number = far / (near - far); e00 = h / aspect; e01 = 0; e02 = 0; e03 = 0; e10 = 0; e11 = h; e12 = 0; e13 = 0; e20 = 0; e21 = 0; e22 = fnf; e23 = near * fnf; e30 = 0; e31 = 0; e32 = -1; e33 = 0; } [Inline] public final function copy(m:Mat44):void { e00 = m.e00; e01 = m.e01; e02 = m.e02; e03 = m.e03; e10 = m.e10; e11 = m.e11; e12 = m.e12; e13 = m.e13; e20 = m.e20; e21 = m.e21; e22 = m.e22; e23 = m.e23; e30 = m.e30; e31 = m.e31; e32 = m.e32; e33 = m.e33; } } class Vec3 { public var x:Number; public var y:Number; public var z:Number; public function Vec3(x:Number = 0, y:Number = 0, z:Number = 0) { this.x = x; this.y = y; this.z = z; } public function init(x:Number = 0, y:Number = 0, z:Number = 0):void { this.x = x; this.y = y; this.z = z; } public function add(v1:Vec3, v2:Vec3):void { x = v1.x + v2.x; y = v1.y + v2.y; z = v1.z + v2.z; } public function sub(v1:Vec3, v2:Vec3):void { x = v1.x - v2.x; y = v1.y - v2.y; z = v1.z - v2.z; } public function scale(v:Vec3, s:Number):void { x = v.x * s; y = v.y * s; z = v.z * s; } public function invert(v:Vec3):void { x = -v.x; y = -v.y; z = -v.z; } public function mulMatrix(m:Mat44, v:Vec3):void { var tx:Number = v.x * m.e00 + v.y * m.e01 + v.z * m.e02 + m.e03; var ty:Number = v.x * m.e10 + v.y * m.e11 + v.z * m.e12 + m.e13; var tz:Number = v.x * m.e20 + v.y * m.e21 + v.z * m.e22 + m.e23; x = tx; y = ty; z = tz; } public function mulQuaternion(q:Quat, v:Vec3):void { var xx:Number = q.x * q.x; var yy:Number = q.y * q.y; var zz:Number = q.z * q.z; var xy:Number = q.x * q.y; var yz:Number = q.y * q.z; var xz:Number = q.x * q.z; var sx:Number = q.s * q.x; var sy:Number = q.s * q.y; var sz:Number = q.s * q.z; var tx:Number = v.x * (0.5 - yy - zz) + v.y * (xy - sz) + v.z * (xz + sy); var ty:Number = v.x * (xy + sz) + v.y * (0.5 - xx - zz) + v.z * (yz - sx); var tz:Number = v.x * (xz - sy) + v.y * (yz + sx) + v.z * (0.5 - xx - yy); x = tx * 2; y = ty * 2; z = tz * 2; } public function dot(v:Vec3):Number { return x * v.x + y * v.y + z * v.z; } public function cross(v1:Vec3, v2:Vec3):void { var tx:Number = v1.y * v2.z - v1.z * v2.y; var ty:Number = v1.z * v2.x - v1.x * v2.z; var tz:Number = v1.x * v2.y - v1.y * v2.x; x = tx; y = ty; z = tz; } public function normalize(v:Vec3):void { var s:Number = Math.sqrt(v.x * v.x + v.y * v.y + v.z * v.z); if (s > 0) s = 1 / s; x = v.x * s; y = v.y * s; z = v.z * s; } public function length():Number { return Math.sqrt(x * x + y * y + z * z); } public function copy(v:Vec3):void { x = v.x; y = v.y; z = v.z; } } class Quat { public var s:Number; public var x:Number; public var y:Number; public var z:Number; public function Quat(s:Number = 1, x:Number = 0, y:Number = 0, z:Number = 0) { this.s = s; this.x = x; this.y = y; this.z = z; } public function init(s:Number = 1, x:Number = 0, y:Number = 0, z:Number = 0):void { this.s = s; this.x = x; this.y = y; this.z = z; } public function add(q1:Quat, q2:Quat):void { s = q1.s + q2.s; x = q1.x + q2.x; y = q1.y + q2.y; z = q1.z + q2.z; } public function sub(q1:Quat, q2:Quat):void { s = q1.s - q2.s; x = q1.x - q2.x; y = q1.y - q2.y; z = q1.z - q2.z; } public function scale(q:Quat, s:Number):void { this.s = q.s * s; x = q.x * s; y = q.y * s; z = q.z * s; } public function mul(q1:Quat, q2:Quat):void { var ts:Number = q1.s * q2.s - q1.x * q2.x - q1.y * q2.y - q1.z * q2.z; var tx:Number = q1.s * q2.x + q1.x * q2.s + q1.y * q2.z - q1.z * q2.y; var ty:Number = q1.s * q2.y - q1.x * q2.z + q1.y * q2.s + q1.z * q2.x; var tz:Number = q1.s * q2.z + q1.x * q2.y - q1.y * q2.x + q1.z * q2.s; s = ts; x = tx; y = ty; z = tz; } public function normalize(q:Quat):void { var len:Number = Math.sqrt(q.s * q.s + q.x * q.x + q.y * q.y + q.z * q.z); if (len > 0) len = 1 / len; s = q.s * len; x = q.x * len; y = q.y * len; z = q.z * len; } public function rotate(q:Quat, v:Vec3):void { var ts:Number = -q.x * v.x - q.y * v.y - q.z * v.z; var tx:Number = q.s * v.x + q.y * v.z - q.z * v.y; var ty:Number = q.s * v.y - q.x * v.z + q.z * v.x; var tz:Number = q.s * v.z + q.x * v.y - q.y * v.x; s = q.s + ts * 0.5; x = q.x + tx * 0.5; y = q.y + ty * 0.5; z = q.z + tz * 0.5; } public function copy(q:Quat):void { s = q.s; x = q.x; y = q.y; z = q.z; } }