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  • How do I drag my widgets without dragging other widgets?

    - by Cypher
    I have a bunch of drag-able widgets on screen. When I am dragging one of the widgets around, if I drag the mouse over another widget, that widget then gets "snagged" and is also dragged around. While this is kind of a neat thing and I can think of a few game ideas based on that alone, that was not intended. :-P Background Info I have a Widget class that is the basis for my user interface controls. It has a bunch of properties that define it's size, position, image information, etc. It also defines some events, OnMouseOver, OnMouseOut, OnMouseClick, etc. All of the event handler functions are virtual, so that child objects can override them and make use of their implementation without duplicating code. Widgets are not aware of each other. They cannot tell each other, "Hey, I'm dragging so bugger off!" Source Code Here's where the widget gets updated (every frame): public virtual void Update( MouseComponent mouse, KeyboardComponent keyboard ) { // update position if the widget is being dragged if ( this.IsDragging ) { this.Left -= (int)( mouse.LastPosition.X - mouse.Position.X ); this.Top -= (int)( mouse.LastPosition.Y - mouse.Position.Y ); } ... // define and throw other events if ( !this.WasMouseOver && this.IsMouseOver && mouse.IsButtonDown( MouseButton.Left ) ) { this.IsMouseDown = true; this.MouseDown( mouse, new EventArgs() ); } ... // define and throw other events } And here's the OnMouseDown event where the IsDraggable property gets set: public virtual void OnMouseDown( object sender, EventArgs args ) { if ( this.IsDraggable ) { this.IsDragging = true; } } Problem Looking at the source code, it's obvious why this is happening. The OnMouseDown event gets fired whenever the mouse is hovered over the Widget and when the left mouse button is "down" (but not necessarily in that order!). That means that even if I hold the mouse down somewhere else on screen, and simply move it over anything that IsDraggable, it will "hook" onto the mouse and go for a ride. So, now that it's obvious that I'm Doing It Wrong™, how do I do this correctly?

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  • keyPressed is not working after adding ActionListener to JButton

    - by Yehonatan
    I have a serious problem while trying to build a menu for my game. I've added two JButton to a main JPanel and added an ActionListener for each of them. The main JPanel also contains the game JPanel which have the keyPressed method inside keyController. That's how it looks - Main -       JPanel -         JButton, JButton,         JPanel which contains the game and keyPressed function inside KeyController class which worked fine before I added the ActionListener for JButton. For some reason after I added an ActionListener for each of the button, the game JPanel is not getting any keyPreseed events nor KeyRealesed. Does anyone know the solution for my situation? Thank you very much! Main window - Scanner in = new Scanner(System.in); JFrame f = new JFrame("Square V.S Circles"); f.setUndecorated(true); f.setResizable(false); f.setDefaultCloseOperation(JFrame.DISPOSE_ON_CLOSE); f.add(new JPanelHandler()); f.pack(); f.setVisible(true); f.setLocationRelativeTo(null); JPanelHandler(main JPanel) - super.setFocusable(true); JButton mybutton = new JButton("Quit"); JButton sayhi = new JButton("Say hi"); sayhi.addActionListener(new ActionListener() { @Override public void actionPerformed(ActionEvent e) { System.out.println("Hi"); } }); mybutton.addActionListener(new ActionListener() { @Override public void actionPerformed(ActionEvent e) { System.exit(0); } }); add(mybutton); add(sayhi); add(new Board(2)); Board KeyController(The code inside is working so it's unnecessary to put it here) - private class KeyController extends KeyAdapter { public KeyController() { ..Code } @Override public void keyPressed(KeyEvent e) { ...Code } @Override public void keyReleased(KeyEvent e){ ...Code } }

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  • Pre baked fractures and explosion : I need an answer for C++

    - by Ken
    What are the prebaked or precomputed explosions or fractures from a programmer viewpoint ? I would like to know how to achieve this in C++ and how this things are usually considered (they are animations? textures?), it would be perfect if there will be some examples available or someone that can picture a broad view about this. I need to add a really small support for this in my code and i need an hint about how to start, i would like to do this on my own without other libraries.

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  • Technologies stack to create soccer game vizualization on web page [on hold]

    - by Lambrusco
    I want to create soccer game vizualization. What technologies will be best to create such one for web page? On input I have two teams with players. I have theory about their movements, the movement of the ball on field and so on. I just want to vizualize their movements. What will be the best technology stack? I mean programming languages (C++, Ruby, Java, PHP) and vizualization ways (Flash, HTML5, JS)

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  • How to do pixel per pixel modeling in unity3d?

    - by Kabumbus
    So generally I want to have api like pixels.addPixel3D(new Pixel3D(0xFF0000, 100, 100,100)); (color, position) where pixels is some abstraction on 3d sceen objet.So to say point cloud. It would have grate use in deep space/stars modeling... I want to set each pixel by hand (having no image base or any automatic thing)... So point is modeling something like Or look at alive flash analog here How to do such thing in unity?

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  • How to move an object along a circumference of another object?

    - by Lumis
    I am so out of math that it hurts, but for some of you this should be a piece of cake. I want to move an object around another along its ages or circumference on a simple circular path. At the moment my game algorithm knows how to move and position a sprite just at the edge of an obstacle and now it waits for the next point to move depending on various conditions. So the mathematical problem here is how to get (aX, aY) and (bX, bY) positions, when I know the Centre (cX, cY), the object position (oX, oY) and the distance required to move (d)

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  • game play strategy in an arena

    - by joulesm
    I am writing a player's behavior for an arena game, and I'm wondering if you can offer some strategies. I'm writing it in Python, but I'm just interested in the high level game play. Here are the game aspects: Arena is a circle of a given size. The arena size shrinks every round to help break ties. Players are much smaller circles, can be on teams of 1 or 2 players. Players attack by colliding with other players, and based on the physics of the collision (speed of both players, angle), one could force another player out of the arena. Once a player is out of the arena, they are out of the game (for that round). The goal is to be the only team with players left in the arena. All other players have been pushed (through collisions or mistakes) out of the arena. It is possible for there to be no winner if the last two players exit the arena at the same time. Once the player has been programmed, the game just runs. There is no human intervention in the game. I'm thinking it's easiest to implement a few simple programmatic rules for my player to follow. For example, stay close to center of the arena, attack opponents from the inner side of the arena, etc. Are there any good simple game strategies? Would adding a random aspect to the game help? For example, to avoid predictability by the other team or something. Thanks in advance.

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  • Storing a Hex Grid

    - by Pedro Caetano
    I've been creating a small hex grid framework for Unity3D and have come to the following dilema. This is my coordinate system (taken from here) Link because I'm a new user It all works pretty nicely except for the fact I have no idea how to store it. I originally intended to store this in a 2D array and use images to generate my maps. One problem was that it had negative values (this was easily fixed by offsetting the coordinates a bit). However, due to this coordinate system, such an image or bitmap would have to be diamond shaped - and since these structures are square shaped, this would cause a lot of headaches even if I hack something together. Is there anything I'm missing that could fix this? I recall seeing a forum post regarding this in the unity forums but I can no longer find the link. Is writing a set of coordinate translators the best solution here? If you guys think it would be helpful, I can post code and images of my problem.

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  • Long running calculation on background thread

    - by SundayMonday
    In my Cocos2D game for iOS I have a relatively long running calculation that happens at a fairly regular interval (every 1-2 seconds). I'd like to run the calculation on a background thread so the main thread can keep the animation smooth. The calculation is done on a grid. Average grid size is about 100x100 where each cell stores an integer. Should I copy this grid when I pass it to the background thread? Or can I pass a reference and just make sure I don't write to the grid from the main thread before the background thread is done? Copying seems a bit wasteful but passing a reference seems risky. So I thought I'd ask.

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  • Maya is lagging in a specific way...?

    - by Aerovistae
    My Maya installation worked perfectly. It is not my computer. Something caused it to stop working overnight, somehow. When I try to drag a vertex or something like that, it moves the vertex, but then I have to click like 3 times somewhere outside the mesh before the actual mesh will catch up and follow the vertex. Until I do that, it just stays as it was, with a floating vertex somewhere inside it or outside it. It makes modeling borderline impossible and completely infuriating. What ought to be happening is what we're all used to-- as I move the vertex, the mesh follows it actively, so I can see what it looks like at every given moment until I release the vertex in its new position. Other weird thing: this only applies to complex meshes, like a couple thousand faces. A simple cube works fine. What gives?? Anybody?

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  • problems programmatically creating UIView on iPad App

    - by user3871
    I have been struggling with this problem for a few days. My iPad app is designed to be a portrait game. To satisfy Apple's expection, I also support landscape mode. When it goes into landscape mode, the game goes into a letterbox format with back borders on the sides. My problem is I am creating the UIWindow and UIView programmatically. For some unkown reason, the touch controls are "locked" in to think I'm always in landscape mode. And even though visually in portrait mode everything looks correct, the top and bottom of the screen does not respond to touch. To summarize how I am setting this up, let me provide the skeletal framework of what I'm doing: in main.cpp: int retVal = UIApplicationMain(argc, argv, nil, @"derbyPoker_ipadAppDelegate"); In the delegate, I am doing this: - (BOOL)application:(UIApplication *)application didFinishLaunchingWithOptions:(NSDictionary *)launchOptions { CGRect screenBounds = [[UIScreen mainScreen] bounds]; CGFloat scale = [[ UIScreen mainScreen] scale ]; m_device_width = screenBounds.size.width; m_device_height = screenBounds.size.height; m_device_scale = scale; // Everything is built assuming 640x960 window = [[ UIWindow alloc ] initWithFrame:[[UIScreen mainScreen] bounds]]; viewController = [ glView new ]; [self doStateChange:[blitz class]]; return YES; } The last bit of code sets up the UIView... - (void) doStateChange: (Class) state{ viewController.view = [[state alloc] initWithFrame:CGRectMake(0, 0, m_device_width, m_device_height) andManager:self]; viewController.view.contentMode = UIViewContentModeScaleAspectFit; viewController.view.autoresizesSubviews = YES; [window addSubview:viewController.view]; [window makeKeyAndVisible]; } The problem seems to related to the line viewController.view.contentMode = UIViewContentModeScaleAspectFit; If I remove that line, touch works correctly in portrait mode. But the negative is when I'm landscape mode, the game stretches incorrectly. So That's not a option. The frustrating thing is, when I originally had this set up with a NIB file, it worked fine. I have read through the docs about UIWindow, UIViewController and UIView and have tried about everything to no avail. Any help would be greatly appreciated.

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  • How can I render a semi transparent model with OpenGL correctly?

    - by phobitor
    I'm using OpenGL ES 2 and I want to render a simple model with some level of transparency. I'm just starting out with shaders, and I wrote a simple diffuse shader for the model without any issues but I don't know how to add transparency to it. I tried to set my fragment shader's output (gl_FragColor) to a non opaque alpha value but the results weren't too great. It sort of works, but it looks like certain model triangles are only rendered based on the camera position... It's really hard to describe what's wrong so please watch this short video I recorded: http://www.youtube.com/watch?v=s0JqA0rZabE I thought this was a depth testing issue so I tried playing around with enabling/disabling depth testing and back face culling. Enabling back face culling changes the output slightly but the problem in the video is still there. Enabling/disabling depth testing doesn't seem to do anything. Could anyone explain what I'm seeing and how I can add some simple transparency to my model with the shader? I'm not looking for advanced order independent transparency implementations. edit: Vertex Shader: // color varying for fragment shader varying mediump vec3 LightIntensity; varying highp vec3 VertexInModelSpace; void main() { // vec4 LightPosition = vec4(0.0, 0.0, 0.0, 1.0); vec3 LightColor = vec3(1.0, 1.0, 1.0); vec3 DiffuseColor = vec3(1.0, 0.25, 0.0); // find the vector from the given vertex to the light source vec4 vertexInWorldSpace = gl_ModelViewMatrix * vec4(gl_Vertex); vec3 normalInWorldSpace = normalize(gl_NormalMatrix * gl_Normal); vec3 lightDirn = normalize(vec3(LightPosition-vertexInWorldSpace)); // save vertexInWorldSpace VertexInModelSpace = vec3(gl_Vertex); // calculate light intensity LightIntensity = LightColor * DiffuseColor * max(dot(lightDirn,normalInWorldSpace),0.0); // calculate projected vertex position gl_Position = gl_ModelViewProjectionMatrix * gl_Vertex; } Fragment Shader: // varying to define color varying vec3 LightIntensity; varying vec3 VertexInModelSpace; void main() { gl_FragColor = vec4(LightIntensity,0.5); }

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  • How should I choose quadtree depth?

    - by Evpok
    I'm using a quadtree to prune collision detection pairs in a 2d world. How should I choose to what depth said quadtree is calculated? The world is made mostly of moving objects1, so the cost of dispatching the objects between the quadtree cells matters. What is the relationship between the gain from less collision checking and the loss from more dispatching? How can I strike a balance that performs optimally? 1 To be completely explicit, they are autonomous self-replicating cells competing for food sources. This is an attempt to show my pupils predator-prey dynamics and genetic evolution at work.

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  • Best practices on separating Update and Draw on game loop

    - by Galvanize
    I've been working on my first HTML5 prototype and I found a good model that uses the regular Update and Draw loop we see in game dev. My question is, where does one end and the other begins? The question popped when I wanted to rotate and draw an Image, and I kept wondering if the work of changing the tranformation matrix (that I presume would be a bit expensive since it works on the whole pixel array of an image) and calculating the right position do draw it would characterize drawing work, or maybe not, since after that I may need to check for collision or something similar. Thinkig of it, seems like a silly question, but I would like some advice from more experienced developers. Where does does update ends and draw starts? Thanks in advance.

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  • Dynamic content realoding

    - by Kikaimaru
    Is there a relatively simple way to dynamicaly reload content files? (ie: effect files) I know i can do following: Detect change of file Run content pipeline to rebuild that specific file Unload ALL content that was loaded Load All content And use double references to reference content files. Problem is with step 3 (and step 2 isn't that nice too). But i need to unload everything because if i have model Hero.x which references Model.fx effect, and i change Model.fx file, i need to reload Hero.x file which will then call LoadExternalReference on Model.fx. So I guess question is, did someone mange to make this work without rewriting whole ContentManager (and every ContentReader) and tracking calls to LoadExternalReference?

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  • Costs/profit of/when starting an indie company

    - by Jack
    In short, I want to start a game company. I do not have much coding experience (just basic understanding and ability to write basic programs), any graphics design experience, any audio mixing experience, or whatever else technical. However, I do have a lot of ideas, great analytical skills and a very logical approach to life. I do not have any friends who are even remotely technical (or creative in regards to games for that matter). So now that we've cleared that up, my question is this: how much, minimally, would it cost me to start such a company? I know that a game could be developed in under half a year, which means it would have to operate for half a year prior, and that's assuming that the people working on the first project do their jobs good, don't leave game breaking bugs, a bunch of minor bugs, etc.. So how much would it cost me, and what would be the likely profit in half a year? I'm looking at minimal costs here, as to do it, I would have to sell my current apartment and buy a new, smaller one, pay taxes, and likely move to US/CA/UK to be closer to technologically advanced people (and be able to speak the language of course). EDIT: I'm looking at a small project for starters, not a huge AAA title.

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  • Problem Implementing Texture on Libgdx Mesh of Randomized Terrain

    - by BrotherJack
    I'm having problems understanding how to apply a texture to a non-rectangular object. The following code creates textures such as this: from the debug renderer I think I've got the physical shape of the "earth" correct. However, I don't know how to apply a texture to it. I have a 50x50 pixel image (in the environment constructor as "dirt.png"), that I want to apply to the hills. I have a vague idea that this seems to involve the mesh class and possibly a ShapeRenderer, but the little i'm finding online is just confusing me. Bellow is code from the class that makes and regulates the terrain and the code in a separate file that is supposed to render it (but crashes on the mesh.render() call). Any pointers would be appreciated. public class Environment extends Actor{ Pixmap sky; public Texture groundTexture; Texture skyTexture; double tankypos; //TODO delete, temp public Tank etank; //TODO delete, temp int destructionRes; // how wide is a static pixel private final float viewWidth; private final float viewHeight; private ChainShape terrain; public Texture dirtTexture; private World world; public Mesh terrainMesh; private static final String LOG = Environment.class.getSimpleName(); // Constructor public Environment(Tank tank, FileHandle sfileHandle, float w, float h, int destructionRes) { world = new World(new Vector2(0, -10), true); this.destructionRes = destructionRes; sky = new Pixmap(sfileHandle); viewWidth = w; viewHeight = h; skyTexture = new Texture(sky); terrain = new ChainShape(); genTerrain((int)w, (int)h, 6); Texture tankSprite = new Texture(Gdx.files.internal("TankSpriteBase.png")); Texture turretSprite = new Texture(Gdx.files.internal("TankSpriteTurret.png")); tank = new Tank(0, true, tankSprite, turretSprite); Rectangle tankrect = new Rectangle(300, (int)tankypos, 44, 45); tank.setRect(tankrect); BodyDef terrainDef = new BodyDef(); terrainDef.type = BodyType.StaticBody; terrainDef.position.set(0, 0); Body terrainBody = world.createBody(terrainDef); FixtureDef fixtureDef = new FixtureDef(); fixtureDef.shape = terrain; terrainBody.createFixture(fixtureDef); BodyDef tankDef = new BodyDef(); Rectangle rect = tank.getRect(); tankDef.type = BodyType.DynamicBody; tankDef.position.set(0,0); tankDef.position.x = rect.x; tankDef.position.y = rect.y; Body tankBody = world.createBody(tankDef); FixtureDef tankFixture = new FixtureDef(); PolygonShape shape = new PolygonShape(); shape.setAsBox(rect.width*WORLD_TO_BOX, rect.height*WORLD_TO_BOX); fixtureDef.shape = shape; dirtTexture = new Texture(Gdx.files.internal("dirt.png")); etank = tank; } private void genTerrain(int w, int h, int hillnessFactor){ int width = w; int height = h; Random rand = new Random(); //min and max bracket the freq's of the sin/cos series //The higher the max the hillier the environment int min = 1; //allocating horizon for screen width Vector2[] horizon = new Vector2[width+2]; horizon[0] = new Vector2(0,0); double[] skyline = new double[width]; //TODO skyline necessary as an array? //ratio of amplitude of screen height to landscape variation double r = (int) 2.0/5.0; //number of terms to be used in sine/cosine series int n = 4; int[] f = new int[n*2]; //calculating omegas for sine series for(int i = 0; i < n*2 ; i ++){ f[i] = rand.nextInt(hillnessFactor - min + 1) + min; } //amp is the amplitude of the series int amp = (int) (r*height); double lastPoint = 0.0; for(int i = 0 ; i < width; i ++){ skyline[i] = 0; for(int j = 0; j < n; j++){ skyline[i] += ( Math.sin( (f[j]*Math.PI*i/height) ) + Math.cos(f[j+n]*Math.PI*i/height) ); } skyline[i] *= amp/(n*2); skyline[i] += (height/2); skyline[i] = (int)skyline[i]; //TODO Possible un-necessary float to int to float conversions tankypos = skyline[i]; horizon[i+1] = new Vector2((float)i, (float)skyline[i]); if(i == width) lastPoint = skyline[i]; } horizon[width+1] = new Vector2(800, (float)lastPoint); terrain.createChain(horizon); terrain.createLoop(horizon); //I have no idea if the following does anything useful :( terrainMesh = new Mesh(true, (width+2)*2, (width+2)*2, new VertexAttribute(Usage.Position, (width+2)*2, "a_position")); float[] vertices = new float[(width+2)*2]; short[] indices = new short[(width+2)*2]; for(int i=0; i < (width+2); i+=2){ vertices[i] = horizon[i].x; vertices[i+1] = horizon[i].y; indices[i] = (short)i; indices[i+1] = (short)(i+1); } terrainMesh.setVertices(vertices); terrainMesh.setIndices(indices); } Here is the code that is (supposed to) render the terrain. @Override public void render(float delta) { Gdx.gl.glClearColor(1, 1, 1, 1); Gdx.gl.glClear(GL10.GL_COLOR_BUFFER_BIT); // tell the camera to update its matrices. camera.update(); // tell the SpriteBatch to render in the // coordinate system specified by the camera. backgroundStage.draw(); backgroundStage.act(delta); uistage.draw(); uistage.act(delta); batch.begin(); debugRenderer.render(this.ground.getWorld(), camera.combined); batch.end(); //Gdx.graphics.getGL10().glEnable(GL10.GL_TEXTURE_2D); ground.dirtTexture.bind(); ground.terrainMesh.render(GL10.GL_TRIANGLE_FAN); //I'm particularly lost on this ground.step(); }

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  • What library for octrees or kd-trees?

    - by Will
    Are there any robust performant libraries for indexing objects? It would need frustum culling and visiting objects hit by a ray as well as neighbourhood searches. I can find lots of articles showing the math for the component parts, often as algebra rather than simple C, but nothing that puts it all together (apart from perhaps Ogre, which has rather more involved and isn't so stand-alone). Surely hobby game makers don't all have to make their own octrees? (Python or C/C++ w/bindings preferred)

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  • How to detect a touch on transparent area of an image in a (libgdx) stage?

    - by Usman
    Can some one please help to detect a touch on an image which I am using as an actor in a stage. The image is actually a long diagnol brush which has plenty of transparent area. The problem is when I touche the transparent area of the brush image it is also triggering the clicklistener of the image. I need the click listener should only be called when the finger actually touched the visible image not the area which is empty. I am using libgdx-0.9.4 libraries. Here is my simple piece of code. import com.badlogic.gdx.scenes.scene2d.ui.Image; import com.badlogic.gdx.scenes.scene2d.ui.ClickListener; Image brushImg = new Image(ImageCache.getTexture("brush")); brushImg.width = mStage.width()*0.75f; brushImg.height = mStage.height()*0.75f; brushImg.setClickListener(new ClickListener() { @Override public void click(Actor actor, float x, float y) { SoundFactory.play("brush"); }

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  • Learning C++ but wanting to develop iOS Apps

    - by DiscreteGenius
    I'm a computer engineering student and taking my second programming class. I'm learning C++ using "C++ Primer Plus" 5th edition by Prata. I want to develop for iOS. I understand the main language for Xcode is Objective-C. Am I hurting myself by learning C++ before any other language (notably before my desired lang Objective-C)? There's got to be a reason the university requires C++ to learn as a basis language. Please offer any helpful guidance or how I should go about this. Thanks//

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  • BOX2D Kinematic Platform with parallax layer

    - by Marcell
    I am using a kinematic body for my moving platform on x-axis, so I set the linear velocity to b2vec2(5,0). When the player jump on the platform, it works like it is suppose to. But the thing is that my platform is on the obstacle layer and I am moving it with the parallax layer. So if I setTransform the kinematic platform to follow the obstacle layer than it's physics will not work and the player will slip-off the platform. I'm developing for iOS and using cocos2d api. Anyway around this?

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  • How does opengl-es 2 assemble primitives?

    - by stephelton
    Two things I'm quite confused about. 1) OpenGL ES 2.0 creates primitives before the vertex shader is invoked. Why, then, does it not automatically provide the vertex shader the position of the vertex? 2) OpenGL ES 2.0 supports glDrawElements(), but it does not support glEnableClientState() or GL_VERTEX_ARRAY, so how can this call possibly be used to construct primitives? NOTE: this is OpenGL ES 2.0, NOT normal OpenGL! Thanks!

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  • Channelling an explosion along a narrow passage

    - by finnw
    I am simulating explosions in a 2D maze game. If an explosion occurs in an open area, it covers a circular region (this is the easy bit.) However if an explosion occurs in a narrow passage (i.e narrower than the blast range) then it should be "compressed", so that it goes further and also it should go around corners. Ultimately, unless it is completely boxed-in, then it should cover a constant number of pixels, spreading in whatever direction is necessary to reach this total area. I have tried using a shortest-path algorithm to pick the nearest N pixels to the origin avoiding walls, but the effect is exaggerated - the blast travels around corners too easily, making U-turns even when there is a clear path in another direction. I don't know whether this is realistic or not but it is counter-intuitive to players who assume that they can hide around a corner and the blast will take the path of least resistance in a different direction. Is there a well-known (and fast) algorithm for this?

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  • Which isometric angles can be mirrored (and otherwise transformed) for optimization?

    - by Tom
    I am working on a basic isometric game, and am struggling to find the correct mirrors. Mirror can be any form of transform. I have managed to get SE out of SW, by scaling the sprite on X axis by -1. Same applies for NE angle. Something is bugging me, that I should be able to also mirror N to S, but I cannot manage to pull this one off. Am I just too sleepy and trying to do the impossible, or a basic -1 scale on Y axis is not enough? What are the common used mirror table for optimizing 8 angle (N, NE, E, SE, S, SW, W, NW) isometric sprites?

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  • How does this circle collision detection math work?

    - by Griffin
    I'm going through the wildbunny blog to learn about collision detection. I'm confused about how the vectors he's talking about come into play. Here's the part that confuses me: p = ||A-B|| – (r1+r2) The two spheres are penetrating by distance p. We would also like the penetration vector so that we can correct the penetration once we discover it. This is the vector that moves both circles to the point where they just touch, correcting the penetration. Importantly it is not only just a vector that does this, it is the only vector which corrects the penetration by moving the minimum amount. This is important because we only want to correct the error, not introduce more by moving too much when we correct, or too little. N = (A-B) / ||A-B|| P = N*p Here we have calculated the normalised vector N between the two centres and the penetration vector P by multiplying our unit direction by the penetration distance. I understand that p is the distance by which the circles penetrate, but I don't get what exactly N and P are. It seems to me N is just the coordinates of the 3rd point of the right trianlge formed by point A and B (A-B) then being divided by the hypotenuse of that triangle or distance between A and B (||A-B||). What's the significance of this? Also, what is the penetration vector used for? It seems to me like a movement that one of the circles would perform to get un-penetrated.

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