Blender to .as3 Exporter for Papervision 3D, Away3D and Sandy3D Updated

If you are exporting from blender to actionscript directly so you can get your models into flash as script you can use the Blender to .as3 exporter which so kindly supports all flash 3d engines currently Away3D, Papervision3D and Sandy3D.  Dennis Ippel made the Blender exporter a while back but the update supports papervision 2.0.

The benefits of COLLADA are nice but there are so many differences that you can run into trouble.  With the exporter it is a direct faces and vector export without all the bloat of DAE/COLLADA xml.  This works if you are only developing for flash and dont’ need to use the models in other platforms/systems/engines that aren’t in flash.

AS3 Papervision 3D Debugging/Stats with PV3DDebug

I have been doing lots of Papervision 3D for a project recently and needed to debug some placement and camera issues.  I did a quick search and found PV3DDebug by Jason Bejot and it worked out great and is a pretty sweet utility I thought I would mention when you need to debug Papervision or even for inclusion as a debug console in all your papervision apps and games. It is a good base for your own consoles or debug panels. It is also a great tool to help out with focus and zoom issues and understanding with camera placement.

The code is really easy to drop in and you can get lots of info on the PV3D scenes and camera manipulation.

Hardware of the Casual Gamer

Making great games, applications and tools using flash, silverlight or other tools that are emerging such as Unity3D takes great style, effort and knowing your target. We need to know what the end-user machine has at hand.  The Unity 3d guys put together a great post on the capabilities of casual gaming machines. With all the talk about flash 3d, unity3d and silverlight what level are you targeting and what group of people can actually PLAY your games as you envision.

Pretty much everyone knows Valve’s hardware survey – it’s a very valuable resource that shows what hardware the typical “hardcore PC gamer” has (that is, gamers that play Valve’s games).

However, the “casual gamer”, which is what Unity games are mostly targeted at, probably has slightly different hardware. “Slightly” being a very relative term of course.

Lo and behold – we have a glimpse into that data.

How? First time the Unity Web Player is installed, it submits anonymous hardware details (details in the EULA). This happens only once, and contains no personally identifiable information. It’s much like visitor statistics trackers on the websites that gather your OS, browser information and whatnot.

Remember, all this data is from people who installed Unity Web Player (most likely because they wanted to play some Unity content on the web). Hardware of standalone game players might be different, and hardware of your game’s players might be different as well. The data set is well over a million samples at the moment.

Check out the full stats here.

The most interesting stats to me:

OS Platforms

Windows 96.8%

Mac OS X 3.2%

CPU Core count overall

1 54.7%

2 44.1%

4 1.1%

8 .1%

Wow this one is surprising, but with the type of gamer that will play and download a quality new plugin to get to a game, maybe not.  They need to have the latest and greatest.  Multi-core processors have been selling for about 2-3 years so this is a continuing trend that will make Flash 3d and even plugins like Unity 3d better over the short term.

Also when you check it over at Unity Blog note the top cards, it is a bit painful if you are a casual gamer developer.  Not a decent card in the top 10-15. But that is changing rapidly over the next 1-2 years in this regard. But this also vyes well for flash based games that rely on dual core software rendered results right now as a decent constraint for developers to keep content painfully accessible to all states of machinery out there.

I wonder if this information is available on the flash player and public? This is specific to the Unity 3D plugin that is also a bit of a different market that is willing to install a plugin for better experiences.  With Flash it is usually preinstalled or auto updated for a casual user and might be different as Flash has a 98% penetration rate.  Or for that matter the Director users which would be more gaming focused which amout ot about 40% of internet users.  But as with the case of Unity it is specific to games right now and a small penetration rate, Flash is also apps, ads, tools, demos, interactives in addition to games.  Having this information on Flash or Director would be nice.

AS3 Plinko with APE 2D Flash Physics Engine

I rarely mention stuff I have worked on here but I got a chance to use APE and AS3 on the online Plinko game at the site for the Price is Right videogame for the famed pink Plinko Board.  Who doesn’t love Plinko?

I did the programming on this back when I still worked at emarketing/prizelogic.

I will be featuring a small iteration to APE with draggable particles and how I did it.  In the end I didn’t use the draggable particles but they are fun (i ended up changing my collision/border particles after testing).  I ended up controlling the drop location by swapping out a wheel particle after they dropped it.  So that it got the famous Plinko disc bounce and roll.

Why did I use APE? Well it is the least complex physics engine.  I started off with Box2dFlashAS3 and will post that one maybe as well but ended up going with APE mainly for integration it was easier that it was a less intensive codebase.  Box2DFlashAS3 can scare non C++ coders with it’s style let alone AS2 coders moving to AS3.

It is slower with all the other animation going on in the site but you can also play on my server here just the Plinko part.

Can you get 10,000?

Google Tech Talk: Simple interactive 3D modeling for all – VideoTrace

3D models from basic video… This can be huge in all sorts of ways.  For exponential growth you need to go virtual.

  • This is a technology called VideoTrace from Australia
  • The Siggraph paper describing VideoTrace is available here (pdf 6MB)
  • Larger videos available here, with a more compressed version here.

Amazing New Feature for Flash 10 – FileReference Runtime Access

I have been consuming all the great additions to Flash 10 this weekend and one that really jumps out after you get past the visual, text and sound features (which are spectacular btw and most of what the community was asking for). But one feature snuck by, this is the one that ByteArray (Thibault Imbert) mentions/pointed out for managing files directly within Flash.

File Reference runtime access — Bring users into the experience by letting them load files into your RIA. You can work with the content at runtime and even save it back when you are done through the browse dialog box. Files can be accessed as a byteArray or text using a convenient API in ActionScript without round-tripping to the server. You no longer have to know a server language or have access to a server to load or save files at runtime.

This greatly lowers the bar to using Flash as a photo editor, document manager, customized application experiences, marking up content and saving locally, all without the need for server side script. I am a big fan of server side technologies and develop with them but even for bettering performance this could be huge.

Scenarios where this might be useful is editing applications, note taking (download a book with your notes), editors for docs/games/3d/textures,,, the possibilities are endless really.

Flash 9 just got mainstream and production ready (flash 9 penetration) at the tail end of last year but there are so many great things in the new version that I hope it comes out very soon. Flash it turning into quite a platform.

Alternativa Platform also has updated their engine for Flash 10 already (they must have had some inside early accessibility to it) and there are great possibilities here.

It is only beta (Flash 10) but there are great market opportunities to prepare for when this launches. Keep your eye on where the puck will be, not where it is currently at. I was concerned when Adobe bought Macromedia and the future of Flash but it appears they are taking this bull by the horns.

If you are ready to play with Flash 10 here is Flex and FlashDevelop updates to help you get started.

Also here is some code posted at ByteArray from Pleh for testing the new FileReference runtime access, usage is extremely simple and rests on this

var data:ByteArray = fileRef['data'];

/*
  FileReference Load Example By Pleh 17/05/08
*/

package {
	import flash.display.Loader;
	import flash.display.Sprite;
	import flash.events.Event;
	import flash.events.MouseEvent;
	import flash.net.FileReference;
	import flash.net.FileFilter;
	import flash.utils.ByteArray;

	public class Flash10Test extends Sprite
	{
		private var fileRef:FileReference;

		public function Flash10Test()
		{
			fileRef = new FileReference();
			fileRef.addEventListener(Event.SELECT, selectFile);
			fileRef.addEventListener(Event.OPEN, openFile);
			stage.addEventListener(MouseEvent.CLICK,stageClick);
		}

		private function selectFile(e:Event):void {
			fileRef['load']();
		}

		private function openFile(e:Event):void {
			var data:ByteArray = fileRef['data'];
			var loader:Loader = new Loader();
			loader.loadBytes(data);
			addChild(loader);
		}

		private function stageClick(e:Event):void{
			fileRef.browse([new FileFilter("All Formats (*.jpg,*.gif,*.png,*.swf)", "*.jpg;*.gif;*.png;*.swf", "JPEG;jp2_;GIFF;SWFL")]);
		}

	}
}

A Peek into the AS3 and AVM2 Virtual Machine and ‘Elastic Racetrack’

AS3 Flash 3D Engine Alternativa Platform Drops A Nuke – Isometric and FPS

This will blow you away. Found first via mrdoob (with quantum rss reading capability, before the message is concieved mrdoob is there).

Alternativa Platform, previously Alternativa Game, launched their Alternativa Platform milestone 1 and really one demo would have been enough but there are some great demos there that literally put them what appears a couple laps up on the 3d FPS style engine in Flash.

The engine is highly optimized and smooth, heavy on the processor, but using the ‘t’ key you can see some nice revealing triangle rendering. Also, playing with the field of view adds for some nice game effects. (try jumping on the fans in the half-life like room in the first demo)

Check the textures

See the Matrix

Get superpowers

From Above, Isometric

Here is what is to come from the platform:

Congrats to the Russian based Alternativa Platform, the world is watching.

Box2DFlashAS3 Version 2 Released – AS3 2D Physics Engine

Box2dFlashAS3 has been updated to version 2.0 complete with ragdolls and Theo Jansen walkers ala APE fame.

AS3 Flash 3D Engine SWFZ Source Code Goes Open Source

Jono is giving SWFZ to science and the open source devices.

The SWFZ engine is one Flash 3D engine that took a different approach. It is a bit early in its technique used but the author at custom:media Jono has decided to float the source code out there in ghost mode (no active development but not dead). It is just ready to branch and others to run with it. He is floating the source but I think in 1-2 years this will be the preferred method if processors and multicore parallel usage is optimized. We shall see.

The implementation method and difference with SWFZ engine in Flash for 3d is that is is a pixel based renderer or scanline. It is based on a really fun game engine called Irrlicht which has been pretty active for the last few years but is a C++ DirectX and OpenGL engine. Since SWFZ has to run in Flash and it is a pixel renderer/scanline it has some limitations currently in Flash. Games and renders have to be fast to pull this off and Flash is limited by the software renderer but as computers get multiple processors and flash player gets better at this then this will be a viable option (it is the same thing that limits Canvas based renderers right now). One main problem with this is you can’t go too full screen the biggest sizes that perform well are smaller windows 320×240 etc. But if the processors can handle it it is actually more efficient when it removes overlap, extra triangle drawing and painters algorithm like problems dont’ pop up (triangle overlap when on same plane). This method draws pixel by pixel but fast enough flash engines like Papervision, Sandy3D and Away3D draw overlaps due to the drawing technique, back to front.

But SWFZ still manages to pull off some amazing feats such as these demos

Quake Demo

Terrain Demo

Yoshis Hip Hop Couzin

Jono has put some great classes into SWFZ engine such as bsp parsers, quake md2 parsers, animated mesh, and lots of great examples in porting C++ Irrlicht to AS3. This was a very early example of how AS3 was fun for programmers to port stuff from C or C++ into Flash. AS3 is just fun. Also be sure to check the site for more samples like an FPS game, some basic ai etc.

Jono has been working on 3d in Flash for a while and actually this message is what shows the difference betweeen this approach and other flash engines the way Papervision, Sandy and Away3D (pv3d derivative) make 3d in flash fast enough (Painter’s Algorithm and drawing skewed movieclips and textures.

Demos

More about the Engine Some Notes

The SWFZ engine.

Overview:

SWFZ engine is the result of four years of me messing with 3D in Flash.

I was a complete newbie to 3D, so a lot of learning has happened to get to here.

If you’re interested in 3D engines check out the resource links at the bottom of the page:

The Demo:

Model

  • .md2 format from ID’s Quake2.
  • Uses frame based animation
  • Textured with jpeg
  • No lighting, No Gouraud Shading, just plain texture

Skybox

  • Textures are just jpegs.

Boxes

  • Rendering – Textured Gouraud , Textured Gouraud with Alpha, Textured Gouraud with Quick Alpha, Gouraud Shaded, and the large box is just Textured.
  • Star Texture – Targa (.tga) file format.

AS3 classes

  • 171 classes and interfaces

Scene

  • No lighting
  • No collision detection

SWFZ engine technology:

The demo only shows a small part of the capabilities of the engine. In the coming weeks I will get www.custommedia.co.nz up and running and start to post more info then.

Currently implement stuff:

New file formats supported

  • .tga – Targa Image
  • .bmp – Bitmap Image
  • .3ds – 3D Studio Max
  • .bsp – Quake3 levels
  • .md2 – Quake2 models
  • .obj – Wavefront 3d object (static)
  • .zip – Read from a zip archive (all in Flash, no server side scripts)

3D Rendering

  • mipmaps
  • perspective correct texturing + affine texturing
  • Flat shading
  • Gouraud
  • Textured Gouraud
  • Textured Flat
  • Textured Two Layers
  • Gouraud Alpha
  • Textured Flat Alpha
  • Textured Gouraud Alpha

3D Scene

  • Billboards
  • Parent, Child scene nodes
  • OctTree
  • Skybox
  • Static Meshes
  • Animated Meshes
  • Basic collision detection
  • Scene node animators

If any code is useful to you maybe drop him a donation or what would be nice if this was all setup at google code and used to be integrated into other engines. Irrlicht ports are fun and there is a future in this method when processors catch up I think.

Physaxe 2D Flash Physics Kit for haXe and List of Flash Flex Actionscript Physics Engines for AS3

Nicolas Cannasse, a virtual machine genius (maker of MTASC compiler, Neko and haXe (haXe compiles to target flash 6-9 but really only flash 9 is used anymore unless you are making banners)) released the Physaxe 2D Physics kit for haXe today.

It is heavily based on Glaze (demos) and Box2D which the Motor2, Glaze and Box2DFlashAS3 physics kits are all based on. Box2D is a great C++ 2D physics engine, it is simple which lended itself to being ported to AS3 quite easily. It is also a testament to AS3 that C++ kits are being ported into the language, not once, but many times. Also C ports like Chipmunk and other signs point to == AS3 is of fun.

Physaxe is quite amazing you must see the demos (very similar to Glade demos), it will get the inspirational wheels turning in your idea machines.

2D Physics in Flash and AS3 are extremely hot and can be used for many, many things from game development to promotions to simulations to user interface or visualizations and even modeling natural systems. It is nice to have a port of Box2D and similar to glade capabilities with Chipmunk like Glade has.

A game and physics engine for Flash including:

  • Rigid Body Dynamics
  • Scene management
  • Line of sight
  • User Input
  • Scrolling
  • AI

Core parts of the physics solver and collision system are based on the C physics engine Chipmunk

Notes about Physaxe:

Physaxe is a 2D Rigid Body Library written in haXe. It’s been highly optimized for the Flash 9 Player, with the best optimizations available.

Physaxe is based on several existing physics engines, mainly :

  • Box2D, the reference open source physics engine
  • Glaze, an AS3 engine which is a port of Chipmunk, itself based on Box2D

Physaxe features are :

  • rigid body consisting in several shapes
  • shapes supported are circles, segments (with rounded edges) and arbitrary convex polygons
  • customizable broadphase (currently bruteforce and y-sorted list are available)
  • island resolution and sleeping (allow ~0 CPU to be spent when groups are sleeping)
  • constraint solver based on Box2D sequential impulses
  • customizable body properties, such as linear/angular friction and maximized motion

Updated list of physics engines are like this:

AS3 3D Physics Engines (Open Source)

AS3 2D Physics Engines (Open Source)

haXe 2D Physics Engines

Get your game on! It is best to get them out early and often. I need to take my own advice.

TweenMax Bezier Tweening Released for AS2 and AS3 by Jack at GreenSock – And List of Animation Kits

TweenMax (Speed Test) has been released that adds a main feature missing from GreenSock’s offerings in tween animation libraries and kits over Tweener. That is the bezier curve tween. Tweener is very popular for use in PV3d and AS3 due to the bezier curve and Zeh’s great example that is really the base of a possible 3d editor. TweenMax now adds this and bezier tween capability for the GreenSock animation libraries.

Tweener and TweenLite have become the micro animation kits as well as micro kits you can make with Go base kits. TweenLite, TweenFilterLite and TweenMax divided up into different kits allows it to be embedded for banners or small assets easier if you don’t need the filters or other advanced tweens (this comes into play heavily with large games and asset collections when the compiled SWF each need the library). Tweener packs all features into one kit for simplicity. GreenSock kits are divided up for need. The comparison together is about the same but for basic tweens TweenLite is only 2k.

Performance is one area that the kits from GreenSock have really shined and since the addition of the speed tests and benchmarks it has become a great focus on showing how the open source kits are much better than bloated included animation calls in Flash and Flex defaults. I think all the kits have niches that they fit and Tweener and TweenLite are just very simple to use which adds alot to an animation kit success.

List of Animation Kits for AS3 (some for AS2 as well)

If you are using the Flex of Flash default animation classes, I am sorry…

AS3 Flash Isometric Game Engine Released – FFilmation 1.0

The FFilmation AS3 Flash Isometric Engine has been released into the wild.  Jordi Ministral has been generous to watch his creation grow and evolve with the help of the open source community and the flash community is one of the best open source communities out there even though the core (adobe flash) is still closed. Open sourcing is one of the best ways to market test your skills really and this engine has much anyone can learn in making isometric engines for flash. You can see our first post on this great engine here.

Here’s a peek at the classes in the API:

http://www.ffilmation.org/docs/api/1.0/class-summary.html

All Classes

BumpMap
fAiContainer
fCamera
fCharacter
fCollideEvent
fElement
fEngine
fEngineMaterial
fEngineSceneRetriever
fEventIn
fEventOut
fFloor
fGlobalLight
fLight
fMaterial
fMoveEvent
fObject
fOmniLight
fPlane
fProcessEvent
fRenderableElement
fScene
fSceneLoader
fWalkoverEvent
fWall
line
mathUtils
movieClipUtils
polygonProjection
polygonUtils
Vector
vport

Get your game on!

AS3 Nascar Game By mr. doob – AS3 Flash Library Mashup

I have been one upped by mr. doob! I did a little nascar like RC pro am like prototype in march ’07 when the pv3d kit showed up on my screen and I was hooked like most suceptible flashers who have longed for 3d in flash! Only my version is like Nintendo64 and his is like xbox360 with updated effects and physics kits and some doob magic. All these are based off of, of course the original race car driver in Papervision and its creator Carlos Ulloa (Adobe should be paying this man).

To the feature! This is a sweet game by mr. doob, called burn and brag for Nascar.

Now I don’t’ particularly like Nascar all that much but who doesn’t like to peel out to some fiddlin’? I mainly do Nascar stuff because it is highly marketable and like the only answer most ad agencies have for getting the southern us markets it seems, that and c-o-u-n-t-r-y mu-si-c (must be said at a slower rate).

But I digress, this is a perfect mix of advertisment, game play, fun and experience. It is fast, simple, and playable. Exactly the simplicity and smoothness needed of gameplay and playback.  Great ad work but it also gives something fun to do and best of all it is built in AS3 flash with a plethora of libraries from the flash as3 community.

The game platform is emerging fantastically in the AS3 market. mrdoob used these kits to build this:

It would be cool to see a post on how he did the replays with tweener – I imagine just a series of points collected with car state (current position state) and then just play them back with a call back or time delay. You’d have to capture alot for smooth playback without laggy movements.  I am working on multiplayer games with this same issue for a current project.

Game on! The question is when will this be SOTD or SOTM at thefwa.com?

AS3 Real-Time Raytracing

Forrest Briggs throwing down with a real-time raytracer in AS3. Also a C++ OpenGL version sample on the page.

Real-time pixel manipulation in flash is getting faster, but is still probably going to have to be faked in AS3, maybe AS4 will provide us per pixel speeds that Andre Michelle has been harping on since flash 8.5. Native operations can be much faster in that area. AIF might look to change some of that but that is Flash 10.

Here is the code for the as3 raytracer. Read more at laserpirate.

package
{
import flash.display.Sprite;
import flash.display.Bitmap;
import flash.display.BitmapData;
import flash.events.Event;
import flash.utils.getTimer;
import flash.events.MouseEvent;
import flash.text.TextField;
import flash.text.TextFormat;

public class RayTracer extends Sprite
{
private var t:Number;
private var dt:Number = .01;
private var frameTimeTxt:TextField;

public static const BUFFER_WIDTH:int = 160;
public static const BUFFER_HEIGHT:int = 120;
public static const BUFFER_SCALEDDOWN:int = 320 / BUFFER_WIDTH;

public static const HALF_BUFFER_WIDTH:int = BUFFER_WIDTH / 2;
public static const HALF_BUFFER_HEIGHT:int = BUFFER_HEIGHT / 2;

private var outputBitmapData:BitmapData;
private var outputBitmap:Bitmap;

public var FOV:Number = 20;

public var sphereCenterX:Array = [0, 0, 0, 0];
public var sphereCenterY:Array = [0, -.2, .4, 100.5];
public var sphereCenterZ:Array = [4, 4, 4, 10];
public var sphereRadius:Array = [.35, .35, .25, 100];
public var sphereR:Array = [255, 0, 0, 20];
public var sphereG:Array = [0, 150, 0, 20];
public var sphereB:Array = [0, 0, 255, 20];
public var sphereReflects:Array = [false, false, false, true];
public var sphereReflectiveness:Array = [0,0,0,.3];
public var sphere2dX:Array = new Array(sphereCenterX.length);
public var sphere2dY:Array = new Array(sphereCenterX.length);
public var sphere2dR:Array = new Array(sphereCenterX.length);

public var numSpheres = sphereCenterX.length;

var skyR:int = 20;
var skyG:int = 20;
var skyB:int = 20;
var skyColor:int = (skyR< <16) + (skyG<<8) + skyB; var ambientIllumination:Number = .1; var canvas:BlankClip; var theta:Number = 0; var mouseIsDown:Boolean = false; var mouseDownTheta:Number = 0; var mouseDownX:Number = 0; public function RayTracer() { outputBitmapData = new BitmapData(BUFFER_WIDTH, BUFFER_HEIGHT, false); outputBitmap = new Bitmap(outputBitmapData); addChild(outputBitmap); //outputBitmap.smoothing = true; outputBitmap.width= 320; outputBitmap.height = 240; canvas = new BlankClip; addChild(canvas); canvas.buttonMode = true; canvas.useHandCursor = true; frameTimeTxt = new TextField(); frameTimeTxt.defaultTextFormat = new TextFormat("Arial"); frameTimeTxt.x = 8; frameTimeTxt.y = 8; frameTimeTxt.width = 640; frameTimeTxt.textColor = 0xFFFFFF; frameTimeTxt.selectable = false; addChild(frameTimeTxt); t = 0; addEventListener(Event.ENTER_FRAME, update, false, 0, true); canvas.addEventListener(MouseEvent.MOUSE_DOWN, mouseDownHandler); canvas.addEventListener(MouseEvent.MOUSE_UP, mouseUpHandler); } public function mouseDownHandler(e:*):void { mouseIsDown = true; mouseDownX = stage.mouseX; mouseDownTheta = theta; } public function mouseUpHandler(e:*):void { mouseIsDown = false; } public function update(e:*) { // start frame timer and update global time var timer:Number = getTimer(); t += dt; // handle mouse rotation if( mouseIsDown ) theta = mouseDownTheta - .0015 * (stage.mouseX - mouseDownX); theta += dt; // do some funky animation sphereCenterX[0] = .5*Math.sin(theta*5); sphereCenterZ[0] =1 + .5*Math.cos(theta*5); sphereCenterX[1] = .5*Math.sin(theta*5 + 2 * Math.PI / 3); sphereCenterZ[1] = 1 + .5*Math.cos(theta*5 + 2 * Math.PI / 3); sphereCenterX[2] = .5*Math.sin(theta*5 + 4 * Math.PI / 3); sphereCenterZ[2] = 1 + .5*Math.cos(theta*5 + 4 * Math.PI / 3); // reused variables var x:int; var y:int; var i:int; var j:int; var r:int; var g:int; var b:int; var dx:Number; var dy:Number; var rayDirX:Number; var rayDirY:Number; var rayDirZ:Number; var rayDirMag:Number; var reflectRayDirX:Number; var reflectRayDirY:Number; var reflectRayDirZ:Number; var intersectionX:Number; var intersectionY:Number; var intersectionZ:Number; var reflectIntersectionX:Number; var reflectIntersectionY:Number; var reflectIntersectionZ:Number; var rayToSphereCenterX:Number; var rayToSphereCenterY:Number; var rayToSphereCenterZ:Number; var lengthRTSC2:Number; var closestApproach:Number; var halfCord2:Number; var dist:Number; var normalX:Number; var normalY:Number; var normalZ:Number; var normalMag:Number; var illumination:Number; var reflectIllumination:Number; var reflectR:Number; var reflectG:Number; var reflectB:Number; // setup light dir var lightDirX:Number = .3; var lightDirY:Number = -1; var lightDirZ:Number = -.5; var lightDirMag:Number = 1/Math.sqrt(lightDirX*lightDirX +lightDirY*lightDirY +lightDirZ*lightDirZ); lightDirX *= lightDirMag; lightDirY *= lightDirMag; lightDirZ *= lightDirMag; // vars used to in intersection tests var closestIntersectionDist:Number; var closestSphereIndex:int; var reflectClosestSphereIndex:int; // compute screen space bounding circles //canvas.graphics.clear(); //canvas.graphics.lineStyle(1, 0xFF0000, .25); for(i = 0; i < numSpheres; ++i) { sphere2dX[i] = (BUFFER_WIDTH / 2 + FOV * sphereCenterX[i] / sphereCenterZ[i]); sphere2dY[i] = (BUFFER_HEIGHT /2 + FOV * sphereCenterY[i] / sphereCenterZ[i]); sphere2dR[i] = (3 * FOV * sphereRadius[i] / sphereCenterZ[i]); //canvas.graphics.drawCircle(sphere2dX[i]*BUFFER_SCALEDDOWN, sphere2dY[i]*BUFFER_SCALEDDOWN, sphere2dR[i]*BUFFER_SCALEDDOWN); sphere2dR[i] *= sphere2dR[i]; // store the squared value } // write to each pixel outputBitmapData.lock(); for(y = 0; y < BUFFER_HEIGHT; ++y) { for(x = 0; x < BUFFER_WIDTH; ++x) { // compute ray direction rayDirX = x - HALF_BUFFER_WIDTH; rayDirY = y - HALF_BUFFER_HEIGHT; rayDirZ = FOV; rayDirMag = 1/Math.sqrt(rayDirX * rayDirX + rayDirY * rayDirY +rayDirZ * rayDirZ); rayDirX *= rayDirMag; rayDirY *= rayDirMag; rayDirZ *= rayDirMag; /// trace the primary ray /// closestIntersectionDist = Number.POSITIVE_INFINITY; closestSphereIndex = -1 for(i = 0; i < numSpheres; ++i) { // check against screen space bounding circle dx = x - sphere2dX[i]; dy = y - sphere2dY[i]; if( dx * dx + dy * dy > sphere2dR[i] ) continue;

// begin actual ray tracing if its inside the bounding circle

lengthRTSC2 = sphereCenterX[i] * sphereCenterX[i] +
sphereCenterY[i] * sphereCenterY[i] +
sphereCenterZ[i] * sphereCenterZ[i];

closestApproach = sphereCenterX[i] * rayDirX +
sphereCenterY[i] * rayDirY +
sphereCenterZ[i] * rayDirZ;

if( closestApproach < 0 ) // intersection behind the origin continue; halfCord2 = sphereRadius[i] * sphereRadius[i] - lengthRTSC2 + (closestApproach * closestApproach); if( halfCord2 < 0 ) // ray misses the sphere continue; // ray hits the sphere dist = closestApproach - Math.sqrt(halfCord2); if( dist < closestIntersectionDist ) { closestIntersectionDist = dist; closestSphereIndex=i; } } /// end of trace primary ray /// // primary ray doesn't hit anything if( closestSphereIndex == - 1) { outputBitmapData.setPixel(x, y, skyColor); } else // primary ray hits a sphere.. calculate shading, shadow and reflection { // location of ray-sphere intersection intersectionX = rayDirX * closestIntersectionDist; intersectionY = rayDirY * closestIntersectionDist; intersectionZ = rayDirZ * closestIntersectionDist; // sphere normal at intersection point normalX = intersectionX - sphereCenterX[closestSphereIndex]; normalY = intersectionY - sphereCenterY[closestSphereIndex]; normalZ = intersectionZ - sphereCenterZ[closestSphereIndex]; normalX /= sphereRadius[closestSphereIndex]; // could be multiply by precacluated 1/rad normalY /= sphereRadius[closestSphereIndex]; normalZ /= sphereRadius[closestSphereIndex]; // diffuse illumination coef illumination = normalX * lightDirX + normalY * lightDirY + normalZ * lightDirZ; if( illumination < ambientIllumination ) illumination = ambientIllumination; /// trace a shadow ray /// var isInShadow:Boolean = false; for(j = 0; j < numSpheres; ++j) { if( j == closestSphereIndex ) continue; rayToSphereCenterX = sphereCenterX[j] - intersectionX; rayToSphereCenterY = sphereCenterY[j] - intersectionY; rayToSphereCenterZ = sphereCenterZ[j] - intersectionZ; lengthRTSC2 = rayToSphereCenterX * rayToSphereCenterX + rayToSphereCenterY * rayToSphereCenterY + rayToSphereCenterZ * rayToSphereCenterZ; closestApproach = rayToSphereCenterX * lightDirX + rayToSphereCenterY * lightDirY + rayToSphereCenterZ * lightDirZ; if( closestApproach < 0 ) // intersection behind the origin continue; halfCord2 = sphereRadius[j] * sphereRadius[j] - lengthRTSC2 + (closestApproach * closestApproach); if( halfCord2 < 0 ) // ray misses the sphere continue; isInShadow = true; break; } /// end of shadow ray /// if( isInShadow ) illumination *= .5; /// trace reflected ray /// if( sphereReflects[closestSphereIndex] ) { // calculate reflected ray direction var reflectCoef:Number = 2 * (rayDirX * normalX + rayDirY * normalY + rayDirZ * normalZ); reflectRayDirX = rayDirX - normalX * reflectCoef; reflectRayDirY = rayDirY - normalY * reflectCoef; reflectRayDirZ = rayDirZ - normalZ * reflectCoef; closestIntersectionDist = Number.POSITIVE_INFINITY; reflectClosestSphereIndex = -1 for(j = 0; j < numSpheres; ++j) { if( j == closestSphereIndex ) continue; rayToSphereCenterX = sphereCenterX[j] - intersectionX; rayToSphereCenterY = sphereCenterY[j] - intersectionY; rayToSphereCenterZ = sphereCenterZ[j] - intersectionZ; lengthRTSC2 = rayToSphereCenterX * rayToSphereCenterX + rayToSphereCenterY * rayToSphereCenterY + rayToSphereCenterZ * rayToSphereCenterZ; closestApproach = rayToSphereCenterX * reflectRayDirX + rayToSphereCenterY * reflectRayDirY + rayToSphereCenterZ * reflectRayDirZ; if( closestApproach < 0 ) // intersection behind the origin continue; halfCord2 = sphereRadius[j] * sphereRadius[j] - lengthRTSC2 + (closestApproach * closestApproach); if( halfCord2 < 0 ) // ray misses the sphere continue; // ray hits the sphere dist = closestApproach - Math.sqrt(halfCord2); if( dist < closestIntersectionDist ) { closestIntersectionDist = dist; reflectClosestSphereIndex=j; } } // end loop through spheres for reflect ray if( reflectClosestSphereIndex == - 1) // reflected ray misses { r = sphereR[closestSphereIndex] * illumination; g = sphereG[closestSphereIndex] * illumination; b = sphereB[closestSphereIndex] * illumination; } else { //trace("ref hit"); // location of ray-sphere intersection reflectIntersectionX = reflectRayDirX * closestIntersectionDist + intersectionX; reflectIntersectionY = reflectRayDirY * closestIntersectionDist + intersectionY; reflectIntersectionZ = reflectRayDirZ * closestIntersectionDist + intersectionZ; // sphere normal at intersection point normalX = reflectIntersectionX - sphereCenterX[reflectClosestSphereIndex]; normalY = reflectIntersectionY - sphereCenterY[reflectClosestSphereIndex]; normalZ = reflectIntersectionZ - sphereCenterZ[reflectClosestSphereIndex]; normalX /= sphereRadius[reflectClosestSphereIndex]; // could be multiply by precacluated 1/rad normalY /= sphereRadius[reflectClosestSphereIndex]; normalZ /= sphereRadius[reflectClosestSphereIndex]; // diffuse illumination coef reflectIllumination = normalX * lightDirX + normalY * lightDirY + normalZ * lightDirZ; if( reflectIllumination < ambientIllumination ) reflectIllumination = ambientIllumination; r = sphereR[closestSphereIndex] * illumination + .5 * sphereR[reflectClosestSphereIndex] * reflectIllumination; g = sphereG[closestSphereIndex] * illumination + .5 * sphereG[reflectClosestSphereIndex] * reflectIllumination; b = sphereB[closestSphereIndex] * illumination + .5 * sphereB[reflectClosestSphereIndex] * reflectIllumination; if( r > 255 ) r = 255;
if( g > 255 ) g = 255;
if( b > 255 ) b = 255;

} // end if reflected ray hits

} /// end if reflects
else // primary ray doesn’t reflect
{
r = sphereR[closestSphereIndex] * illumination;
g = sphereG[closestSphereIndex] * illumination;
b = sphereB[closestSphereIndex] * illumination;
}

outputBitmapData.setPixel(x, y, (r<<16) + (g<<8) + b); } // end if primary ray hit } // end x loop } // end y loop outputBitmapData.unlock(); // compute FPS var fps:Number = 1.0/((getTimer() - timer) / 1000.0); frameTimeTxt.text = "Drag to rotate. FPS: " + int(fps); } } }[/sourcecode]