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• best way to compute vertex normals from a Triangle's list

  - by nkint

  hi i'm a complete newbie in computergraphics so sorry if it's a stupid answer. i'm trying to make a simple 3d engine from scratch, more for educational purpose than for real use. i have a Surface object with inside a Triangle's list. For now i compute normals inside Triangle class, in this way: triangle.computeFaceNormals() { Vec3D u = v1.sub(v3) Vec3D v = v1.sub(v2) Vec3D normal = Vec3D.cross(u,v) normal.normalized() this.n1 = this.n2 = this.n3 = normal } and when building surface: t = new Triangle(v1,v2,v3).computeFaceNormals() surface.addTriangle(t) and i think this is the best way to do that.. isn't it? now.. what about for vertex normals? i've found this simple algorithm: flipcode vertex normal but.. hei this algorithm has.. exponential complexity? (if my memory doesn't fail my computer science background..) (bytheway.. it has 3 nested loops.. i don't think it's the best way to do it..) any suggestion?

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• How should I manage persistent score in Game Center leaderboards?

  - by Omega

  Let's say that I'm developing an iOS RPG where the player gains 1 point per monster kill. The amount of monsters killed is persistent data: it is an endless adventure, and the score keeps on growing. It isn't a "session score" like Fruit Ninja, but rather a "reputation score". There are Game Center leaderboards for that score. Keep killing monsters, your score goes up, and the leaderboards are updated. My problem is that, technically, you can log out and log in using a different Game Center account, kill one monster, and the leaderboards will be updated for the new GC account. Supposing that this score is a big deal, this could be considered as cheating, because if you have a score of 2000, any of your friends who have never played the game can simply log into your iPhone, play the game, and the system will update the score for their accounts, essentially giving them 2000 points in the leaderboards for doing nothing. I have considered linking one GC account to a specific save game. It won't update your score unless you're using the linked GC account. But what if the player actually needs to change their GC account? Technically they would be forced to start a new game and link their account to that profile. How should I prevent this kind of cheat? Essentially, I don't want someone to distribute a high schore to multiple GC accounts, given the fact that the game updates the score constantly since it isn't a "session score". I do realize that it isn't quite a big deal. But I'm curious about how to avoid this.

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• Playing a Song causing WP7 to crash on phone, but not on emulator

  - by Michael Zehnich

  Hi there, I am trying to implement a song into a game that begins playing and continually loops on Windows Phone 7 via XNA 4.0. On the emulator, this works fine, however when deployed to a phone, it simply gives a black screen before going back to the home screen. Here is the rogue code in question, and commenting this code out makes the app run fine on the phone: // in the constructor fields private Song song; // in the LoadContent() method song = Content.Load<Song>("song"); // in the Update() method if (MediaPlayer.GameHasControl && MediaPlayer.State != MediaState.Playing) { MediaPlayer.Play(song); } The song file itself is a 2:53 long, 2.28mb .wma file at 106kbps bitrate. Again this works perfectly on emulator but does not run at all on phone. Thanks for any help you can provide!

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• How to integrate game logic in game engines

  - by MahanGM

  Recently I'm working on a 2d game engine example in .Net with C#. My main problem is that I can't figure out how I should include the game logic within the game. Currently I have a base engine which is a set of classes that they are running sub-systems like Render, Sound, Input and Core functionality. There is an editor which helps the user to add resources, build levels, write scripts and other stuffs. I came up with an idea to use Reflection and CSharpCodeProvider from my editor to compile the written code. This way I can get an executable of my product too. This way is quite well but I would like to know what's really the solution and architecture to do this. My engine's role is 2d platform. The scripting language is C# right now because I can't consist any other embeddable language for now. The game needs compilation and CSharpCodeProvider is the only way for me to do it meantime.

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• python Velocity control of the player, why doesn't this work?

  - by Dominic Grenier

  I have the following code inside a while True loop: if abs(playerx) < MAXSPEED: if moveLeft: playerx -= 1 if moveRight: playerx += 1 if abs(playery) < MAXSPEED: if moveDown: playery += 1 if moveUp: playery -= 1 if moveLeft == False and abs(playerx) > 0: playerx += 1 if moveRight == False and abs(playerx) > 0: playerx -= 1 if moveUp == False and abs(playery) > 0: playery += 1 if moveDown == False and abs(playery) > 0: playery -= 1 player.x += playerx player.y += playery if player.left < 0 or player.right > 1000: player.x -= playerx if player.top < 0 or player.bottom > 600: player.y -= playery The intended result is that while an arrow key is pressed, playerx or y increments by one at every loop until it reaches MAXSPEED and stays at MAXSPEED. And that when the player stops pressing that arrow key, his speed decreases. Until it reaches 0. To me, this code explicitly says that... But what actually happens is that playerx or y keeps incrementing regardless of MAXSPEED and continues moving even after the player stops pressing the arrow key. I keep rereading but I'm completely baffled by this weird behavior. Any insights? Thanks.

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• Economic modelling - Resources for valuing goods

  - by Rushyo

  tl;dr: What economic/computer science books would you suggest for learning about economic valuation of goods and simulations thereof? I'm looking to create an economic model for a game based on goods created procedurally. Every natural resource and produced good would be procedurally generated, with certain goods being assigned certain uses. Fakesium might be used for the production of Weapon A and produced from Fakesium factories which use Dilithium and Widgets as reagents, where Widgets are also the product of Foo and Bar The problem is not creating the resources and their various production utlities - but getting the game's AI empires and merchants to correctly value the goods according to their scarcity, utility and production costs. I need to create a simulation of goods which allows the various game factions to assign a common value denominator (credits) to each resource, depending on how much its worth to that empire. I see the simulation being something like: "I have a high requirement for Weapon A. Since I don't have much of Fakesium, which is needed for Weapon A - I must have a high demand for Fakesium. If I can acquire Fakesium, devalue it. If not, increase its value - and also increase demand for Dilithium and Widgets too." This is very naive - because it may be much much cheaper for the empire to simply purchase Dilithium and Widgets directly rather than purchasing Fakesium, for example. Another example is two resources might allow the creation of Weapon A (Fakesium and Lieron), so we'd need to consider that. I've been scratching my head over the problem and it keeps growing. By the time the player joins the world, I'd expect enough iterations of this process to have occurred that prices would have largely normalised - and would then only trigger rarely to compensate for major changes (eg. if the player blows up the world's only Foo mine!) Could anyone suggest resources (books, largely) which outline this style of modelling, preferably in the context of simulations? Since this problem would never occur outside fantasy worlds, I figured this is probably the most likely place to find people who have encountered similar problems and I'm sure there's people who know of good places for Games Developers to start looking at less specific economic theory too. Additionally, does anyone know of any developers with blogs whose games or research applications perform similar modelling?

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• Workflow with Flash Pro CS6 and FlashDevelop: Using fla and swc to store assets

  - by Arthur Wulf White

  I am using this tutorial: http://www.flashdevelop.org/wikidocs/index.php?title=AS3:FlexAndFlashCS3Workflow In the past older versions of Flash Pro I was able to complete these steps: right-click on the symbol in the Library panel, select "Linkage..." dialog, check "Export for ActionScript" and fill in the symbol name (ie. MySymbol_design or assets.MySymbol_design), do not change the base class (ie. flash.display.MovieClip). Right now, I am stuck at that part. Any hints? What I wish to do is: Use fla for the artist to store assets. Publish to swc Extract the assets in FlashDevelop by creating an instance of their class. ... How is this done in CS6? To clear things up, this is what I see when I right click a Flash symbol:

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• Literature for Inverse Kinematics: Joint Limits and beyond

  - by Jeff

  Recently I've been playing around with Inverse Kinematics and have been pretty impressed with the results. Naturally I want to take it further, but have no clue where to start. In particular, I would like to introduce joint limits (ie for a prismatic joint how far it can move, hinge joint what angles it has to be between, etc etc). Currently I understand how to produce the Jacobian matrix for the various joint types. I am particularly looking for literature (preferably free, and preferably easy to understand) on various ways to implement joint limits. Also I would like to find out different ideas on how inverse kinematics can be used.

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• Camera changes view when controller connected

  - by ChocoMan

  I have a weird situation. I have a model set to 0 for X,Y and Z. My camera's position is set to: 0 (X-value, but updates when the model moves around) the model's height + 20f (about the same level as the model's shoulders) 25f (behind the model) Without the controller plugged in, everything looks fine as I want it. But as soon as I plug the controller in, the camera aims to the sky! But when I unplug the controller, the camera is back to what it should be. Does anyone have any insight as to what may cause this from plugging a controller in?

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• Box Collider isn't rotating with Game Object

  - by pek

  I have a method that creates a room by instantiating a prefab, places it in a grid and the re-sizes the collider based on a room definition (location in grid, rotation, width and height). Here is the method: public void CreateRoom(RoomAction action) { GameObject roomGameObject = Instantiate(this.roomPrefab, Vector3.zero, action.RoomPrefab.transform.rotation) as GameObject; roomGameObject.transform.parent = this.transform; roomGameObject.transform.localPosition = new Vector3(action.MansionOffsetX, 0, -action.MansionOffsetY) * this.blockSize; roomGameObject.transform.localPosition += new Vector3((action.Room.Width * this.blockSize) / 2, 0, -((action.Room.Height * this.blockSize) / 2)); BoxCollider roomCollider = roomGameObject.GetComponent<BoxCollider>(); roomCollider.isTrigger = true; roomCollider.center = new Vector3(0, this.height / 2, 0); roomCollider.size = new Vector3(action.Room.Width * this.blockSize, this.height, action.Room.Height * this.blockSize); roomGameObject.transform.RotateAroundLocal(roomGameObject.transform.up, Mathf.Deg2Rad * -90 * action.Rotation); } The problem I'm having is that, while the room rotates correctly, but for some reason, the collider isn't rotating with the game object. Here is a screenshot: Any idea on what am I doing wrong?

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• Slick2D + LWJGL collision system

  - by Connor W

  So I've been learning java for a while and have explored slick and lwjgl before but went away from using Slick for a while. But I've recently gone back to using it (as I'm making a platformer and Tiled will be really helpful). But here's where my problems begin: collision. I have a player polygon and I check to see if it's colliding with my tiled map with this method: public static boolean playerCollisionWith() { for(int i = 0; i < Blockmap.entities.size(); i++) { Block entity1 = (Block) Blockmap.entities.get(i); if(playerPoly.intersects(entity1.poly)) { return true; } } return false; } This would work normally but I'm using a different method for movement. Instead of just adding a speed variable to the player's x axis. I move like this: if(Keyboard.isKeyDown(Keyboard.KEY_RIGHT)) { speedX = Math.min(5, speedX + 1); moving = true; playerPoly.setX(x); if(playerCollisionWith()) { speedX = -5; playerPoly.setX(x); } } That Math.min call is what is messing me up =. I can't just call speedX = -5, because when I do the player "bounces" when the right mouse button is down and it's colliding. Bounces as in flashes back and forth REALLY quickly. But I don't really know how I would make it so that collisions on the y axis would work either, whether the player is jumping or not. So if I could get some help with how to fix this problem that would be great. Thank you for the help!

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• Best practice settings Effect parameters in XNA

  - by hichaeretaqua

  I want to ask if there is a best practice settings effect parameters in XNA. Or in other words, what exactly happens when I call pass.Apply(). I can imagine multiple scenarios: Each time Apply() is called, all effect parameters are transferred to the GPU and therefor it has no real influence how often I set a parameter. Each time Apply() is called, only the parameters that got reset are transferred. So caching Set-operations that don't actually set a new value should be avoided. Each time Apply() is called, only the parameters that got changed are transferred. So caching Set-operations is useless. This whole questions is bootless because no one of the mentions ways has any noteworthy impact on game performance. So the final question: Is it useful to implement some caching of Set-operation like: private Matrix _world; public Matrix World { get{ return _world;} set { if(value == world)return; _effect.Parameters["xWorld"].SetValue(value); _world = value; } Thanking you in anticipation

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• Unity3d: Box collider attached to animated FBX models through scripts at run-time have wrong dimension

  - by Heisenbug

  I have several scripts attached to static and non static models of my scene. All models are instantiated at run-time (and must be instantiated at run-time because I'm procedural building the scene). I'd like to add a BoxCollider or SphereCollider to my FBX models at runtime. With non animated models it works simply requiring BoxCollider component from the script attached to my GameObject. BoxCollider is created of the right dimension. Something like: [RequireComponent(typeof(BoxCollider))] public class AScript: MonoBehavior { } If I do the same thing with animated models, BoxCollider are created of the wrong dimension. For example if attach the script above to penelopeFBX model of the standard asset, BoxCollider is created smaller than the mesh itself. How can I solve this?

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• What algorithm can I use to detect simple shapes in a 4x4 matrix?

  - by ion

  I'm working on a simple multiplayer game that receives a random 4x4 matrix from a server and extracts a shape from it. For example: XXOO OXOO XXOX XXOO XOOX and XOOO XXXX OXXX So in the first matrix the shape I want to parse is: oo o oo and the 2nd: oo oo ooo I know there must be an algorithm for this because I saw this kind of behavior on some puzzle games but I have no idea how to go about to detecting them or even where to start. So my question is: How do I detect what shape is in the matrix and how do I differentiate between multiple colors? (it doesn't come only in X and O, it comes in a maximum of 4). Additionally, the shape must be a minimum of 4 blocks.

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• Sphere Texture Mapping shows visible seams

  - by AvengerDr

  As you can see from the above picture there is a visible seam in the texture mapping. The underlying mesh is a geosphere based on octahedron subdivisions. On that particular latitude, vertices have been duplicated. However there still is a visible seam. Here is how I calculate the UV coordinates: float longitude = (float)Math.Atan2(normal.X, -normal.Z); float latitude = (float)Math.Acos(normal.Y); float u = (float)(longitude / (Math.PI * 2.0) + 0.5); float v = (float)(latitude / Math.PI); Is this a problem in the coordinates or a mipmapping issue?

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• How to fix bad Collada produced by FBX?

  - by David

  I tried to use the FBX SDK (2011.3.1) to load FBX files and save them as Collada files in order to be able to import FBX files in Panda3D. Unfortunately the resulting Collada files are not usable for several reasons, among them: There's a Maya specific extra technique diffuse <diffuse> <texture texture="Map__2-image" texcoord="CHANNEL0"> <extra> <technique profile="MAYA"> <wrapU sid="wrapU0">TRUE</wrapU> <wrapV sid="wrapV0">TRUE</wrapV> <blend_mode>ADD</blend_mode> </technique> </extra> </texture> </diffuse> It assigns a texcoord channel name that isn't referenced anywhere else in the file (in the previous code sample, no geometry uses "CHANNEL0"...) Every polygon is exported twice, a first time with a basic material (only diffuse color, specular color, etc.) and a second time with a textured material -- this doubles the number of polygons of each model without any valuable reason Anyway, the resulting Collada file cannot be opened correctly either with OpenCOLLADA or Panda3D's "dae2egg". Anyone has any experience on how to "fix" it and make it understandable by common and well-reputed Collada importers such as OpenCOLLADA?

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• Prototype experience: Unity3D vs UDK

  - by LukeN

  Has anyone yet prototyped a game in both Unity3D and UDK? If so, which features made prototyping the game easier or more difficult in each toolkit? Was one prototype demonstrably better than the other (given the same starting assets)? I'm looking for specific answers with regard to using the toolkit features, not a comparison of available features. E.g. Destructable terrain is easier in toolkit X for reasons Y and Z. I can code, so the limitations of the inbuilt scripting languages are not a problem.

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• Traffic estimation for a multiplayer flash game

  - by Steve Addington

  hey, i want to know if my rough traffic estimations are right, it would be for a pretty simple realtime flashgame in the style of haxball (but not as a soccer game) heres a video of it http://www.youtube.com/watch?v=z_xBdFg1RcI So here comes my estimation, i dont know if they are realistic! i hope someone can help me. consider the packet attached as a typical one sent every 200ms, its 148bytes + 64 bytes of header will make around a 200bytes packet. The server will receive 200bytes x 6 players x 5 times a sec=6000bytes/s=5.85Kbytes/s=46.9kbit/s plus he has to send all back to the players, so at this point are 94Kbit/s.The server received all the information, perform the definitive calculation and send the new position to all players, in a bigger packet of around 900bytes that have to be delivered to the others 6, which makes 900bytes x 6 players x 5 times a sec=27000bytes/s=26Kbytes/s=210kbit/s. overall that would be 26kbyte per second. thats like 130mb traffic per hour for a 6player room. but somehow i think the numbers are too high? that would be really much traffic for such a simple game. did i calculate something wrong?

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• Demystifying "chunked level of detail"

  - by Caius Eugene

  Just recently trying to make sense of implementing a chunked level of detail system in Unity. I'm going to be generating four mesh planes, each with a height map but I guess that isn't too important at the moment. I have a lot of questions after reading up about this technique, I hope this isn't too much to ask all in one go, but I would be extremely grateful for someone to help me make sense of this technique. 1 : I can't understand at which point down the Chunked LOD pipeline that the mesh gets split into chunks. Is this during the initial mesh generation, or is there a separate algorithm which does this. 2 : I understand that a Quadtree data structure is used to store the Chunked LOD data, I think i'm missing the point a bit, but Is the quadtree storing vertex and triangles data for each subdivision level? 3a : How is the camera distance usually calculated. When reading up about quadtree's, Axis-aligned bounding box's are mentioned a lot. In this case would each chunk have a collision bounding box to detect the camera or player is nearby? or is there a better way of doing this? (raycast maybe?) 3b : Do the chunks calculate the camera distance themselves? 4 : Does each chunk have the same "resolution". for example at top level the mesh will be 32x32, will each subdivided node also be 32x32. Example below:

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• xna download website source code

  - by Emre Canbazoglu

  I have to download the html code of a web site during the game. I am taking the poster url of a movie from the imdb web site by scrapping the html ( also other informations ). I have to do the download process many times during the game for different movies. I can download and scrap the html but downloading the html takes too much time and it causes the game to slow down(freeze while downloading). How can I solve this problem? My one approach is to download and scrap all the information and store them in a database before the game and during the game access this information from the database. I think this will work properly but that is not what I exactly want. It would be better if it is dynamic. I also thought of using multi-threading but I am a bit confused about how to implement threading in xna. I read some articles about it but it is not so clear. I mean when should I start the thread and what about the update function etc. I need your help guys

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• Combine Two Shader Program

  - by Siddharth

  For my android application, I want to apply brightness and contrast shader on same image. At present I am using gpuimage plugin. In that I found two separate program for brightness and contrast as per the following. Contrast shader: varying highp vec2 textureCoordinate; uniform sampler2D inputImageTexture; uniform lowp float contrast; void main() { lowp vec4 textureColor = texture2D(inputImageTexture, textureCoordinate); gl_FragColor = vec4(((textureColor.rgb - vec3(0.5)) * contrast + vec3(0.5)), textureColor.w); } Brightness shader: varying highp vec2 textureCoordinate; uniform sampler2D inputImageTexture; uniform lowp float brightness; void main() { lowp vec4 textureColor = texture2D(inputImageTexture, textureCoordinate); gl_FragColor = vec4((textureColor.rgb + vec3(brightness)), textureColor.w); } Now applying both of the effects I write following code varying highp vec2 textureCoordinate; uniform sampler2D inputImageTexture; varying highp vec2 textureCoordinate2; uniform sampler2D inputImageTexture2; uniform lowp float contrast; uniform lowp float brightness; void main() { lowp vec4 textureColorForContrast = texture2D(inputImageTexture, textureCoordinate); lowp vec4 contastVec4 = vec4(((textureColorForContrast.rgb - vec3(0.5)) * contrast + vec3(0.5)), textureColorForContrast.w); lowp vec4 textureColorForBrightness = texture2D(inputImageTexture2, textureCoordinate2); lowp vec4 brightnessVec4 = vec4((textureColorForBrightness.rgb + vec3(brightness)), textureColorForBrightness.w); gl_FragColor = contastVec4 + brightnessVec4; } Doesn't able to get desire result. I can't able to figure out what I have to do next? So please friends help me in this. What program I have to write?

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• Keeping Aspect Screen Ratio While Stays in Center

  - by David Dimalanta

  I sqw and I tried this suggestion on PISTACHIO BRAINSTORMIN* on how to make a good and adaptive screen ration. For every different screen size, let's say I put the perfect circle as a Texture in LibGDX and played it on screen. Here's the blueberry image example and it's perfectly rounded: When I played it on the Google Nexus 7, the circle turn into a slightly oblonng shape, resembling as it was being flatten a bit. Please observe this snapshot below and you can see the blueberry is almost but slightly not perfectly rounded: Now, when I tried the suggested code for aspect ratio, the perfect circle retained but another problem is occured. The problem is that I expecting for a view on center but instead it's been moved to the right offset leaving with a half black screen. This would be look like this: Here is my code using the suggested screen aspect ratio code: Class' Field // Ingredients Needed for Screen Aspect Ratio private static final int VIRTUAL_WIDTH = 720; private static final int VIRTUAL_HEIGHT = 1280; private static final float ASPECT_RATIO = ((float) VIRTUAL_WIDTH)/((float) VIRTUAL_HEIGHT); private Camera Mother_Camera; private Rectangle Viewport; render() // Camera updating... Mother_Camera.update(); Mother_Camera.apply(Gdx.gl10); // Reseting viewport... Gdx.gl.glViewport((int) Viewport.x, (int) Viewport.y, (int) Viewport.width, (int) Viewport.height); // Clear previous frame. Gdx.gl.glClearColor(0, 0, 0, 1); Gdx.gl.glClear(GL10.GL_COLOR_BUFFER_BIT); show() Mother_Camera = new OrthographicCamera(VIRTUAL_WIDTH, VIRTUAL_HEIGHT); Was this code useful for screen aspect ratio-proportion fixing or it is statically dependent on actual device's width and height? *see http://blog.acamara.es/2012/02/05/keep-screen-aspect-ratio-with-different-resolutions-using-libgdx/#comment-317

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• How to deal with D3DX .dll hell?

  - by bluescrn

  There's a large number of versions of the D3DX dll, from each SDK update, each version having a unique name (http://www.toymaker.info/Games/html/d3dx_dlls.html). All-too-often, people have versions missing. So even though they have a compatible version of DirectX, your D3D-based project won't run on their machine. I want to be able to distribute games (little spare-time projects, game jam entries, etc) as a simple zip file, without the need for an installer. But a significant percentage of users run into missing D3DX .dll errors. And without an installer, Microsoft's official solution (the DirectX web installer/updater) isn't really much of a solution. Unfortunately, Microsoft still won't give us the option of static linking to D3DX (which would be a nice clean solution). And avoiding using D3DX isn't very practical, especially if you're working with shaders (and no, I'm not switching to OpenGL, at least for now) Does anyone have clever solutions to avoiding this DLL hell?

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• Mixing XNA and silverlight gives wierd graphics

  - by Mech0z

  I making a small 3dgame which is made as a Silverlight and XNA app, but when I draw the sprites the graphics becomes all wierd. All my primitive types are rendered correctly, but my 3d models are just wierd My Draw is like this when silverlight is set to draw private void OnDraw(object sender, GameTimerEventArgs e) { // Render the Silverlight controls using the UIElementRenderer elementRenderer.Render(); // Clear the screen to a solid color SharedGraphicsDeviceManager.Current.GraphicsDevice.Clear(Color.CornflowerBlue); switch (gameState) { case GameState.ChooseStarter: TextBlockStatus.Text = "Find Starting Player"; break; case GameState.PlaceBrick: TextBlockPlayer.Text = (playerTurn == PlayerTurn.PlayerOne) ? "Player One" : "Player Two"; TextBlockState.Text = "Place Brick"; foreach (IGraphicObject obj in _3dObjects) { obj.Draw(cameraPosition, e); } break; case GameState.GiveBrick: TextBlockState.Text = "Give Brick"; break; } spriteBatch.Begin(); // Using the texture from the UIElementRenderer, // draw the Silverlight controls to the screen spriteBatch.Draw(elementRenderer.Texture, cameraProjection, Color.White); spriteBatch.End(); } This gives me this output If I comment the spritebatch lines out I get the correct output, except the silverlight text is of course not shown I am not entirely sure what to look for except that zero vector I am giving to the spritebatch, but if thats the source I have no idea what I am supposed to set it as epspecially when its a 2d vector

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• Any reliable polygon normal calculation code?

  - by Jenko

  Do you have any reliable face normal calculation code? I'm using this but it fails when faces are 90 degrees upright or similar. // the normal point var x:Number = 0; var y:Number = 0; var z:Number = 0; // if is a triangle with 3 points if (points.length == 3) { // read vertices of triangle var Ax:Number, Bx:Number, Cx:Number; var Ay:Number, By:Number, Cy:Number; var Az:Number, Bz:Number, Cz:Number; Ax = points[0].x; Bx = points[1].x; Cx = points[2].x; Ay = points[0].y; By = points[1].y; Cy = points[2].y; Az = points[0].z; Bz = points[1].z; Cz = points[2].z; // calculate normal of a triangle x = (By - Ay) * (Cz - Az) - (Bz - Az) * (Cy - Ay); y = (Bz - Az) * (Cx - Ax) - (Bx - Ax) * (Cz - Az); z = (Bx - Ax) * (Cy - Ay) - (By - Ay) * (Cx - Ax); // if is a polygon with 4+ points }else if (points.length > 3){ // calculate normal of a polygon using all points var n:int = points.length; x = 0; y = 0; z = 0 // ensure all points above 0 var minx:Number = 0, miny:Number = 0, minz:Number = 0; for (var p:int = 0, pl:int = points.length; p < pl; p++) { var po:_Point3D = points[p] = points[p].clone(); if (po.x < minx) { minx = po.x; } if (po.y < miny) { miny = po.y; } if (po.z < minz) { minz = po.z; } } if (minx > 0 || miny > 0 || minz > 0){ for (p = 0; p < pl; p++) { po = points[p]; po.x -= minx; po.y -= miny; po.z -= minz; } } var cur:int = 1, prev:int = 0, next:int = 2; for (var i:int = 1; i <= n; i++) { // using Newell method x += points[cur].y * (points[next].z - points[prev].z); y += points[cur].z * (points[next].x - points[prev].x); z += points[cur].x * (points[next].y - points[prev].y); cur = (cur+1) % n; next = (next+1) % n; prev = (prev+1) % n; } } // length of the normal var length:Number = Math.sqrt(x * x + y * y + z * z); // if area is 0 if (length == 0) { return null; }else{ // turn large values into a unit vector x = x / length; y = y / length; z = z / length; }

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