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• Using multiplication and division with delta time

  - by tesselode

  Using delta time with addition and subtraction is easy. player.x += 100 * dt However, multiplication and division complicate things a bit. For example, let's say I want the player to double his speed every second. player.x = player.x * 2 * dt I can't do this because it'll slow down the player (unless delta time is really high). Division is the same way, except it'll speed things way up. How can I handle multiplication and division with delta time?

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• Multiplayer approach for tablets on wi-fi (FPS/TPS)? Server authority, etc

  - by Fraggle

  Looking for some guidance or what has worked well for others in implementing a multiplayer FPS/TPS type game on tablets (probably just 2-6 players at a time). The main issue being that tablets/phones are typically "less" connected than say a console or pc might be. And therefore, my thought is that to have complete Server authority of everything is not going to work. But maybe I'm off base on that. So I guess I'm struggling with what (if anything) should happen on a central server and what should happen locally. Or is centralized approach even needed? Some approaches I might do: Player movement : my thought is to control this locally (player-owner) and update server with positon (which then sends out to other clients). Use client side prediction for opponent players so that connection loss will not show a plane for example stop in mid air. Server will send update and try to smoothly correct an opponent player position to server updated one.But don't update owners position on owners device from server. Powerups (health kit/ammo/coins/etc) : need to see them disappear immediately, so do it locally. Add the health locally, but perhaps allow for server correction. If server doesn't see player near that powerup, reject the powerup and adjust server health for player. Fire weapons: Have to see it happen right away, so fire locally, create local bullet and send on its way. Send rpc to server so that this player on other clients also fires. Hit detection: Get's trickier. Make bullet/projectile disappear locally, and perhaps perform local hit animations (shaking, whatever). non-authoritative approach= take the damage locally and send rpc to server or others to update health and inform of hit. Authoritative approach-Don't take the damage, or adjust health. Server will do that if it detects a hit. Anyway that's my current thought stream. Let me know what you think of the above or what has worked for you.

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• How do I make a simple level system?

  - by ROROX

  I've been learning programming for a while and things are slow but steady. I only have a couple experiments that look something like a game (JavaScript,HTML5,CANVAS). One of the things I would like to establish this early in my process though is a basic level system to my games. I'm thinking like Atari, NES type simple. mainMenu , level1 , level2 , ... Later I'll work on including such screens as; titleScreen , pause , highScore. But for now just looking for the basics. Any good articles/tutorial links would help. Or just a snippet of code I can look over. Thank you kindly :)

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• c++ most used libraries [on hold]

  - by Basaa

  I'm trying to find out whether or not I want to switch from Java to c++ for my OpenGL game programming. I now have setup a test project in VS 11 professional, with GLUT. I created my windows with GLUT, and I can render OpenGL primitives without any problems. Now my question: What library(s) is/are used mostly in the indie/semi professional industry for using OpenGL in c++? With 'using OpenGL' I mean: Creating and managing an OpenGL window Actually using the OpenGL API Handling user-input (keyboard/mouse)

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• How to ignore collision between two objects

  - by eren_trigger

  I have a player that shoots in the direction that it is facing. However, the shot that is created when I click, also destroys the player. How would I make the shot ignore collision with the player? Or better yet, how to make a shot destroy anything it touches and destroy itself without affecting the player? This is the code that controls collisions: function OnTriggerEnter (col : Collider) { Destroy(col.gameObject); } The shot is a trigger, but the player isn't. Not sure if this changes anything in this case. Thanks in advance. EDIT: http://gfycat.com/TediousAridFeline

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• how to solve ArrayList outOfBoundsExeption?

  - by iQue

  Im getting: 09-02 17:15:39.140: E/AndroidRuntime(533): java.lang.IndexOutOfBoundsException: Invalid index 1, size is 1 09-02 17:15:39.140: E/AndroidRuntime(533): at java.util.ArrayList.throwIndexOutOfBoundsException(ArrayList.java:251) when Im killing enemies using this method: private void checkCollision() { Rect h1 = happy.getBounds(); for (int i = 0; i < enemies.size(); i++) { for (int j = 0; j < bullets.size(); j++) { Rect b1 = bullets.get(j).getBounds(); Rect e1 = enemies.get(i).getBounds(); if (b1.intersect(e1)) { enemies.get(i).damageHP(5); bullets.remove(j); Log.d("TAG", "HERE: LOLTHEYTOUCHED"); } if (h1.intersect(e1)){ happy.damageHP(5); } if(enemies.get(i).getHP() <= 0){ enemies.remove(i); } if(happy.getHP() <= 0){ //end-screen !!!!!!! } } } } using this ArrayList: private ArrayList<Enemy> enemies = new ArrayList<Enemy>(); and adding to array like this: public void createEnemies() { Bitmap bmp = BitmapFactory.decodeResource(getResources(), R.drawable.female); if (enemyCounter < 24) { enemies.add(new Enemy(bmp, this, controls)); } enemyCounter++; } I dont really understand what the problem is, Ive been looking around for a while but cant really find anything that helps me. If you know or if you can link me someplace where they have a solution for a similar problem Ill be a very happy camper! Thanks for ur time.

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• Farseer Physics: Ways to create a Body?

  - by EdgarT

  I want to create something similar to this using farsser and Kinect: https://vimeo.com/33500649 This is my implementation until now: http://www.youtube.com/watch?v=GlIvJRhco4U I have the outline vertices and the triangulation of the user. And following the Texture to Polygonmsample i used this line to create the shape, where farseerObject is a list of vertices of the triangles: _compound = BodyFactory.CreateCompoundPolygon(World, farseerObject, 1f, BodyType.Dynamic); But I have to update the body each frame (like 30 fps) and this is very slow. I get just 2 or 3 fps. There's another (faster) way to create the Body from a list of triangles or the contour vertices?

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• Having the same texture data in different ID3D11Texture2D

  - by bdmnd

  Sorry if this has been answered elsewhere - I'm rather new to DX. My question concerns conservation of resources - specifically textures in VRAM. I assume that upon returning from a call to CreateTexture2D, a copy of any textures data supplied has been copied elsewhere, likely VRAM. Does DX11 have any facility for having multiple ID3D11Texture2D objects which point to the same data? This might at first seem silly, but imagine a ID3D11Texture2D which is an array of textures. In one material, an artist has chosen to blend three identically sized maps, saved on disk as A.dds, B.dds, and C.dds. Then imagine they have another material which also uses three maps, but this time A.dds, B.dds, and D.dds. The shader code knows the diffuse texture is a texture array, and also has the number of layers baked (three in each case). I would essentially like to set up just two ID3D11Texture2D objects, one for each material, but I don't want to waste VRAM for two identical copies of A.dds and B.dds. I could use explicit texture arrays, of course, but this reduces the number of resources available to the shader and can complicate code somewhat more than would otherwise be needed.

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• Collision detection doesn't work for automated elements in XNA 4.0

  - by NDraskovic

  I have a really weird problem. I made a 3D simulator of an "assembly line" as a part of a college project. Among other things it needs to be able to detect when a box object passes in front of sensor. I tried to solve this by making a model of a laser and checking if the box collides with it. I had some problems with BoundingSpheres of models meshes so I simply create a BoundingSphere and place it in the same place as the model. I organized them into a list of BoundingSpheres called "spheres" and for each model I create one BoundingSphere. All models except the box are static, so the box object has its own BoundingSphere (not a member of the "spheres" list). I also implemented a picking algorithm that I use to start the movement. This is the code that checks for collision: if (spheres.Count != 0) { for (int i = 1; i < spheres.Count; i++) { if (spheres[i].Intersects(PickingRay) != null && Microsoft.Xna.Framework.Input.ButtonState.Pressed == Mouse.GetState().LeftButton) { start = true; break; } if (BoxSphere.Intersects(spheres[i]) && start) { MoveBox(0, false);//The MoveBox function receives the direction (0) and a bool value that dictates whether the box should move or not (false means stop) start = false; break; } if (start /*&& Microsoft.Xna.Framework.Input.ButtonState.Pressed == Mouse.GetState().LeftButton*/ && !BoxSphere.Intersects(spheres[i])) { MoveBox(0, true); break; } } The problem is this: When I use the mouse to move the box (the commented part in the third if condition) the collision works fine (I have another part of code that I removed to simplify my question - it calculates the "address" of the box, and by that number I know that the collision is correct). But when I comment it (like in this example) the box just passes trough the lasers and does not detect the collision (the idea is that the box stops at each laser and the user passes it forth by clicking on the appropriate "switch"). Can you see the problem? Please help, and if you need more informations I will try to give them. Thanks

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• Are there any OpenGL ES 2.0 examples for JOGL?

  - by fjdutoit

  I've scoured the internet for the last few hours looking for an example of how to run even the most basic OpenGL ES 2 example using JOGL but "by Jupiter!" it has been a total fail. I tried converting the android example from the OpenGL ES 2.0 Programming Guide examples (and at the same time looking at the WebGL example -- which worked fine) yet without any success. Are there any examples out there? If anyone else wants some extra help regarding this question see this thread on the official Jogamp forum.

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• Why is this beat detection code failing to register some beats properly?

  - by Quincy

  I made this SoundAnalyzer class to detect beats in songs: class SoundAnalyzer { public SoundBuffer soundData; public Sound sound; public List<double> beatMarkers = new List<double>(); public SoundAnalyzer(string path) { soundData = new SoundBuffer(path); sound = new Sound(soundData); } // C = threshold, N = size of history buffer / 1024 B = bands public void PlaceBeatMarkers(float C, int N, int B) { List<double>[] instantEnergyList = new List<double>[B]; GetEnergyList(B, ref instantEnergyList); for (int i = 0; i < B; i++) { PlaceMarkers(instantEnergyList[i], N, C); } beatMarkers.Sort(); } private short[] getRange(int begin, int end, short[] array) { short[] result = new short[end - begin]; for (int i = 0; i < end - begin; i++) { result[i] = array[begin + i]; } return result; } // get a array of with a list of energy for each band private void GetEnergyList(int B, ref List<double>[] instantEnergyList) { for (int i = 0; i < B; i++) { instantEnergyList[i] = new List<double>(); } short[] samples = soundData.Samples; float timePerSample = 1 / (float)soundData.SampleRate; int sampleIndex = 0; int nextSamples = 1024; int samplesPerBand = nextSamples / B; // for the whole song while (sampleIndex + nextSamples < samples.Length) { complex[] FFT = FastFourier.Calculate(getRange(sampleIndex, nextSamples + sampleIndex, samples)); // foreach band for (int i = 0; i < B; i++) { double energy = 0; for (int j = 0; j < samplesPerBand; j++) energy += FFT[i * samplesPerBand + j].GetMagnitude(); energy /= samplesPerBand; instantEnergyList[i].Add(energy); } if (sampleIndex + nextSamples >= samples.Length) nextSamples = samples.Length - sampleIndex - 1; sampleIndex += nextSamples; samplesPerBand = nextSamples / B; } } // place the actual markers private void PlaceMarkers(List<double> instantEnergyList, int N, float C) { double timePerSample = 1 / (double)soundData.SampleRate; int index = N; int numInBuffer = index; double historyBuffer = 0; //Fill the history buffer with n * instant energy for (int i = 0; i < index; i++) { historyBuffer += instantEnergyList[i]; } // If instantEnergy / samples in buffer < instantEnergy for the next sample then add beatmarker. while (index + 1 < instantEnergyList.Count) { if(instantEnergyList[index + 1] > (historyBuffer / numInBuffer) * C) beatMarkers.Add((index + 1) * 1024 * timePerSample); historyBuffer -= instantEnergyList[index - numInBuffer]; historyBuffer += instantEnergyList[index + 1]; index++; } } } For some reason it's only detecting beats from 637 sec to around 641 sec, and I have no idea why. I know the beats are being inserted from multiple bands since I am finding duplicates, and it seems that it's assigning a beat to each instant energy value in between those values. It's modeled after this: http://www.flipcode.com/misc/BeatDetectionAlgorithms.pdf So why won't the beats register properly?

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• Light on every model and not in the whole scene

  - by alecnash

  I am using a custom shader and try to pass the effect on my Models like that: foreach (ModelMesh mesh in Model.Meshes) { foreach (ModelMeshPart part in mesh.MeshParts) { part.Effect = effect; } mesh.Draw(); } My only issue is that every Model now has its own light source in it. Why is this happening and is this a problem of my shader? Edit: These are the parameters passed to the shader: private void Get_lambertEffect() { if (_lambertEffect == null) _lambertEffect = Engine.LambertEffect; //Lambert technique (LambertWithShadows, LambertWithShadows2x2PCF, LambertWithShadows3x3PCF) _lambertEffect.CurrentTechnique = _lambertEffect.Techniques["LambertWithShadows3x3PCF"]; _lambertEffect.Parameters["texelSize"].SetValue(Engine.ShadowMap.TexelSize); //ShadowMap parameters _lambertEffect.Parameters["lightViewProjection"].SetValue(Engine.ShadowMap.LightViewProjectionMatrix); _lambertEffect.Parameters["textureScaleBias"].SetValue(Engine.ShadowMap.TextureScaleBiasMatrix); _lambertEffect.Parameters["depthBias"].SetValue(Engine.ShadowMap.DepthBias); _lambertEffect.Parameters["shadowMap"].SetValue(Engine.ShadowMap.ShadowMapTexture); //Camera view and projection parameters _lambertEffect.Parameters["view"].SetValue(Engine._camera.ViewMatrix); _lambertEffect.Parameters["projection"].SetValue(Engine._camera.ProjectionMatrix); _lambertEffect.Parameters["world"].SetValue( Matrix.CreateScale(Size) * world ); //Light and color _lambertEffect.Parameters["lightDir"].SetValue(Engine._sourceLight.Direction); _lambertEffect.Parameters["lightColor"].SetValue(Engine._sourceLight.Color); _lambertEffect.Parameters["materialAmbient"].SetValue(Engine.Material.Ambient); _lambertEffect.Parameters["materialDiffuse"].SetValue(Engine.Material.Diffuse); _lambertEffect.Parameters["colorMap"].SetValue(ColorTexture.Create(Engine.GraphicsDevice, Color.Red)); }

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• Android 2D terrain scrolling

  - by Nikola Ninkovic

  I want to make infinite 2D terrain based on my algorithm.Then I want to move it along Y axis (to the left) This is how I did it : public class Terrain { Queue<Integer> _bottom; Paint _paint; Bitmap _texture; Point _screen; int _numberOfColumns = 100; int _columnWidth = 20; public Terrain(int screenWidth, int screenHeight, Bitmap texture) { _bottom = new LinkedList<Integer>(); _screen = new Point(screenWidth, screenHeight); _numberOfColumns = screenWidth / 6; _columnWidth = screenWidth / _numberOfColumns; for(int i=0;i<=_numberOfColumns;i++) { // Generate terrain point and put it into _bottom queue } _paint = new Paint(); _paint.setStyle(Paint.Style.FILL); _paint.setShader(new BitmapShader(texture, Shader.TileMode.REPEAT, Shader.TileMode.REPEAT)); } public void update() { _bottom.remove(); // Algorithm calculates next point _bottom.add(nextPoint); } public void draw(Canvas canvas) { Iterator<Integer> i = _bottom.iterator(); int counter = 0; Path path = new Path(); path.moveTo(0, _screen.y); while (i.hasNext()) { path.lineTo(counter, _screen.y-i.next()); counter += _columnWidth; } path.lineTo(_screen.x, _screen.y); path.lineTo(0, _screen.y); canvas.drawPath(path2, _paint); } } The problem is that the game is too 'fast', so I tried with pausing thread with Thread.sleep(50); in run() method of my game thread but then it looks too torn. Well, is there any way to slow down drawing of my terrain ?

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• How to get distance from point to line with distinction between side of line?

  - by tesselode

  I'm making a 2d racing game. I'm taking the nice standard approach of having a set of points defining the center of the track and detecting whether the car is off the track by detecting its distance from the nearest point. The nicest way I've found of doing this is using the formula: d = |Am + Bn + C| / sqrt(A^2 + B^2) Unfortunately, to have proper collision resolution, I need to know which side of the line the car is hitting, but I can't do that with this formula because it only returns positive numbers. So my question is: is there a formula that will give me positive or negative numbers based on which side of the line the point is on? Can I just get rid of the absolute value in the formula or do I need to do something else?

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• XNA - 2D Rotation of an object to a selected direction

  - by lobsterhat

  I'm trying to figure out the best way of rotating an object towards the directional input of the user. I'm attempting to mimic making turns on ice skates. For instance, if the player is moving right and the input is down and left, the player should start rotating to the right a set amount each tick. I'll calculate a new vector based on current velocity and rotation and apply that to the current velocity. That should give me nice arcing turns, correct? At the moment I've got eight if/else statements for each key combination which in turn check the current rotation: // Rotate to 225 if (keyboardState.IsKeyDown(Keys.Up) && keyboardState.IsKeyDown(Keys.Left)) { // Rotate right if (rotation >= 45 || rotation < 225) { rotation += ROTATION_PER_TICK; } // Rotate left else if (rotation < 45 || rotation > 225) { rotation -= ROTATION_PER_TICK; } } This seems like a sloppy way to do this and eventually, I'll need to do this check about 10 times a tick. Any help toward a more efficient solution is appreciated.

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• Implementing AS 2.0 with FSM?

  - by Up2u

  i have seen many of references of AI and FSM like : http://www.richardlord.net/blog/fini...n-actionscript and sadly im still can't understand the point of the FSM on AS2.0 is it a must to create a class of each state ? i have a project of game and also it has an AI, the AI has 3 state n i said the state is distanceCheck, ChaseTarget, and Hit the target, the game that i create is FPS game and play via by mouse so what i mean is i have create an AI ( and is success ) but i want to convert it to FSM method ... i create : function of CheckDistanceState() and in that function i have to locked the target with an array, and sort it with the nearest distance and locked it and it trigger the function ChaseState(), and in the ChaseState() i insert the Hit() function to destroy the enemy, the 3 function that i created , i call it in the AI_cursor.onEnterframe, ( FPS game that only have a cursor in stage ) is there any chance to implement FSM to my code without to create a class ?? from what i read before , to create a class mean to create an external code outside of the frame ( i used to code in frame) and i stil dont understand about it. sorry if my explaination not clear ...

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• Translate along local axis

  - by Aaron

  I have an object with a position matrix and a rotation matrix (derived from a quaternion, but I digress). I'm able to translate this object along world-relative vectors, but I'm trying to figure out how to translate it along local-relative vectors. So if the object is tilted 45 degrees around its Z-axis the vector (1, 0, 0) would make it move to the upper right. For world-space translations I simply turn the movement vector into a matrix and multiply it by the position matrix: position_mat = translation_mat * position_mat. For local-space translations I'd think I'd have to use the rotation matrix into that formula, but I see the object spin around instead when I apply a translation over time no matter where I multiply the rotation matrix.

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• How to highlight non-rectengular hotspots?

  - by HuseyinUslu

  So my question is highly related to Creating non-rectangular hotspots and detecting clicks. Yet again, I've irregular hot-spots (think the game Risk). So basically, we can detect clicks on these hot-spots easily using color key mapping as discussed in above question which I don't have any problems implementing (which is also covered here in details). The problem is about highlighting these irreguar hotspots. So let me explain the question a bit more - the above color key mapping guide uses this as a world map; then the author color-maps the imaginary countries; which we can now detect the country the pointer is over. In the same article author mentions outlining countries on mouse-over; though to get the effect, he creates unique border assets for each country - like; So for the game I'm working on I'm using the same color-key mapping idea to detect hot-spots, but I didn't like the way of highlighting hot-spots. Coloring all the hot-spots is already a great work for me - as I've 25+ hot-spots for each map - further more the need to have 25 unique border/highlight asset per hot-spot doesn't sound right. Anyone have a better idea/suggestion on highlighting these hot-spots?

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• How should I model an economy-based game in code?

  - by Matthew G.

  I'd like to create an economy game based on an ancient civilization. I'm not sure how to design it. If I were working on a smaller game, like a copy of "Space Invaders," I'd have no problem structuring it like this: Main Control Class Graphics Class Player Class Enemy class I don't understand how I'd do this for larger projects like my economy game. Do I create a country class that contains a bunch of towns? Do the towns contain a lot building class, most contain classes of people? Do I make a path finding class that the player can access to get around?

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• Move Camera Freely Around Object While Looking at It

  - by Alex_Hyzer_Kenoyer

  I've got a 3D model loaded (a planet) and I have a camera that I want to allow the user to move freely around it. I have no problem getting the camera to orbit the planet around either the x or y axis. My problem is when I try to move the camera on a different axis I have no idea how to go about doing it. I am using OpenGL on Android with the libGDX library. I want the camera to orbit the planet in the direction that the user swipes their finger on the screen.

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• How should I access frame buttons from a controller in an MVC approach?

  - by Loris

  I'm developing an italian card game using the mvc pattern. I have the class GameFrame that contains the view. The user's card are buttons (JButton objects). I have 3 controllers: GameController: to control the game in general. Contains the game loop. HumanPlayerController: to control the user input ComputerPlayerController: contains the AI of the computer PlayerController: is an interface with the makeTurn() method. It's implemented by HumanP.C. and ComputerP.C. HumanPlayerController implements ActionListener too. But what is the right way to access to the GameFrame buttons? I need it for understand which card was chosen. GameFrame and HumanPlayerController are in different packages. Should i make the JButtons public?

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• What do I need to Mod a Unreal Engine 3 game?

  - by RoadSideWarrior

  what I am looking for is some advise making a mod for a certain game and how I would go about making it. The game I am talking about is Blacklight: Retribution and what I wan't to know is; Is it possible? And if so, what programs will I need? It is an online only game so I was unsure how plausible a mod would be for it. Plus I have never made a video game before, but I do like the game and I wanted to do some things with it. Additionally, this will be my first time making anything video game related so I would appreciate any advise. To expand a bit, I plan to add something simple at first. A mod that would let you spectate another player in the first person. Then I plan do something a bit more complex where I want to make so the game optionally always records you playing (in short intervals most likely or you would run quickly out of memory). After all that is done I would add items, armor, weapons, and maybe make a map or not I am not sure but this in a shell what I hope to do. I don't know much about these things but I am reading anything I can get my hands on. So if this is overly ambitious or just plain out not a possibility any advise on what I should look to instead will be welcomed warmly. Thank you.

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• port opengl2.x to opengl 3.x

  - by user46759

  I'm trying to port opencloth example to OpenGL 3.x. I've mostly done it to the shaders but I'm not sure of this part : glEnableClientState(GL_VERTEX_ARRAY); glBindBuffer(GL_ARRAY_BUFFER, vboID); glVertexPointer(4, GL_FLOAT, 0,0); glEnableClientState(GL_TEXTURE_COORD_ARRAY); glBindBuffer(GL_ARRAY_BUFFER, vboTexID); glTexCoordPointer(2, GL_FLOAT,0, 0); glEnableClientState(GL_NORMAL_ARRAY); glBindBuffer(GL_ARRAY_BUFFER, vboNormID); glNormalPointer(GL_FLOAT,sizeof(float)*4, 0); maybe glEnableVertexAttriArray somewhere ? any clue ? thanx edit : maybe something like that ? glEnableVertexAttribArray (2) ; // Ou glEnableVertexAttribArray (positionIndex) ; glBindBuffer(GL_ARRAY_BUFFER, vboTexID); glVertexAttribPointer (2, 2, GL_FLOAT, GL_FALSE, 0, 0) ; glEnableVertexAttribArray (3) ; // Ou glEnableVertexAttribArray (positionIndex) ; glBindBuffer(GL_ARRAY_BUFFER, vboNormID); glVertexAttribPointer (3, 4, GL_FLOAT, GL_FALSE, sizeof (float) * 4, 0) ;

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• applyAngularVelocity causes error when called right after object instantiation

  - by Appeltaart

  I'm trying to make a physicsBody rotate as soon as it is instantiated. CCNode* ball = [CCBReader load:@"Ball"]; [ball.physicsBody applyForce:force]; [ball.physicsBody applyAngularImpulse:arc4random_uniform(360) - 180]; Applying force works fine, the last line however throws an error in cpBody.c line 123: cpAssertHard(body->w == body->w && cpfabs(body->w) != INFINITY, "Body's angular velocity is invalid."); When I don't apply force and merely rotate the problem persists. If I send applyAngularImpulse at some later point (in this case on a touch) it does work. Is this function not supposed to be called right after instantiation, or is this a bug?

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• Square game map rendered as sphere with OpenGL

  - by Roflha

  Okay so I have been trying to find a good way to do this for a while now and so far I have nothing. For a hobby project of mine I have created a finite voxel world (similar to minecraft), but as I said, mine is finite. When you reach the edge of it, you are sent to the other side. That is all working fine along with rendering the far side of the map, but I want to be able to render this grid as a sphere. Looking down from above, the world is a square. I basically want to be able to represent a portion of that square as a sphere, as if you were looking at a planet. Right now I am experimenting with taking a circular section of the map, and rendering that, but it look to flat (no curvature around the edges). My question then, is what would be the best way to add some curvature to the edges of a 2d circle to make it look like a hemisphere. However, I am not overly attached to this implementation so if somebody has some other idea for representing the square as a planet, I am all ears.

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