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  • Application toolkits like QT versus traditional game/multimedia libraries like SFML

    - by Aaron
    I currently intend to use SFML for my next game project. I'll need a substantial GUI though (RPG/strategy-type) so I'll either have to implement my own or try to find an appropriate third party library, which seem to boil down to CEGUI, libRocket, and GWEN. At the same time, I do not anticipate doing that many advanced graphical effects. My game will be 2D and primarily sprite-based with some sprite animations. I've recently discovered that QT applications can have their appearance styled so that they don't have to look like plain OS apps. Given that, I am beginning to consider QT a valid alternative to SFML. I wouldn't have to implement the GUI functionality I'd need, and I may not be taking advantage of SFML's lower-level access anyway. The only drawbacks I can think of immediately are the learning curve for QT and figuring out how to fit game logic inside such a framework after getting used to the input/update/render loop of traditional game libraries. When would an application toolkit like QT be more appropriate for a game than a traditional game or multimedia library like SFML?

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  • Animate multiple entities

    - by Robert
    I'm trying to animate multiple(3) entities using one model(IQM format). It's working but performance is really bad because I'm calling animate function for each entity in my game loop (I think problem is there). What's the best way to animate multiple entities (with different animation ofc) in OpenGL? I think I can try build one VBO / entity for better performances but I don't think it's the best way to do it.

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  • How can I design good continuous (seamless) tiles?

    - by Mikalichov
    I have trouble designing tiles so that when assembled, they don't look like tiles, but look like a homogeneous thing. For example, see the image below: Even though the main part of the grass is only one tile, you don't "see" the grid; you know where it is if you look a bit carefully, but it is not obvious. Whereas when I design tiles, you can only see "oh, jeez, 64 times the same tile," like in this image: (I took this from another GDSE question, sorry; not be critical of the game, but it proves my point. And actually has better tile design that what I manage, anyway.) I think the main problem is that I design them so they are independent, there is no junction between two tiles if put closed to each other. I think having the tiles more "continuous" would have a smoother effect, but can't manage to do it, it seems overly complex to me. I think it is probably simpler than I think once you know how to do it, but couldn't find a tutorial on that specific point. Is there a known method to design continuous / homogeneous tiles? (My terminology might be totally wrong, don't hesitate to correct me.)

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  • Projected trajectory of a vehicle?

    - by mac
    In the game I am developing, I have to calculate if my vehicle (1) which in the example is travelling north with a speed V, can reach its target (2). The example depict the problem from atop: There are actually two possible scenarios: V is constant (resulting in trajectory 4, an arc of a circle) or the vehicle has the capacity to accelerate/decelerate (trajectory 3, an arc of a spiral). I would like to know if there is a straightforward way to verify if the vehicle is able to reach its target (as opposed to overshooting it). I'm particularly interested in trajectory #3, as I the only thing I could think of is integrating the position of the vehicle over time. EDIT: of course the vehicle has always the capacity to steer, but the steer radius vary with its speed (think to a maximum lateral g-force). EDIT2: also notice that (as most of the vehicles in real life) there is a minimum steering radius for the in-game ones too).

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  • What is an acceptable GC frequency for a SlimDX/Windows/.NET game?

    - by Rei Miyasaka
    I understand that the Windows GC is much better than the Xbox/WP7 GC, being that it's generational and multithreaded -- so I don't need to worry quite as much about avoiding memory allocation. SlimDX even has some unavoidable functions that generate some amount of garbage (specifically, MapSubresource creates DataBoxes), yet people don't seem to be too upset about it. I'd like to use some functional paradigms to write my code too, which also means creating objects like closures and monads. I know premature optimization isn't a good thing, but are there rules of thumb or metrics that I can follow to know whether I need to cut down on allocations? Is, say, one gen 0 GC per frame too much? One thing that has me stumped is object promotions. Gen 0 GCs will supposedly finish within a millisecond or two, but if I'm understanding correctly, it's the gen 1 and 2 promotions that start to hurt. I'm not too sure how I can predict/prevent these.

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  • How to detect whether an Object came to sleep at a specific position?

    - by Nils Riedemann
    I'm currently writing a small game with box2dweb and I need some direction for this: I'm throwing a Box and have to hit a specific place and trigger an event when the object that's been thrown isn't moving anymore, "fell asleep" so to say. What's the proper way / best practice for this? I'm currently thinking of asking the b2World whether an Object is within a specific AABB and then wait a few seconds, check if it's still there and then trigger the event. But this seems to me like the roundabout way and the object might still be moving inside of that AABB and eventually even drop out of the AABB.

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  • Falling CCSprites

    - by Coder404
    Im trying to make ccsprites fall from the top of the screen. Im planning to use a touch delegate to determine when they fall. How could I make CCSprites fall from the screen in a way like this: -(void)addTarget { Monster *target = nil; if ((arc4random() % 2) == 0) { target = [WeakAndFastMonster monster]; } else { target = [StrongAndSlowMonster monster]; } // Determine where to spawn the target along the Y axis CGSize winSize = [[CCDirector sharedDirector] winSize]; int minY = target.contentSize.height/2; int maxY = winSize.height - target.contentSize.height/2; int rangeY = maxY - minY; int actualY = (arc4random() % rangeY) + minY; // Create the target slightly off-screen along the right edge, // and along a random position along the Y axis as calculated above target.position = ccp(winSize.width + (target.contentSize.width/2), actualY); [self addChild:target z:1]; // Determine speed of the target int minDuration = target.minMoveDuration; //2.0; int maxDuration = target.maxMoveDuration; //4.0; int rangeDuration = maxDuration - minDuration; int actualDuration = (arc4random() % rangeDuration) + minDuration; // Create the actions id actionMove = [CCMoveTo actionWithDuration:actualDuration position:ccp(-target.contentSize.width/2, actualY)]; id actionMoveDone = [CCCallFuncN actionWithTarget:self selector:@selector(spriteMoveFinished:)]; [target runAction:[CCSequence actions:actionMove, actionMoveDone, nil]]; // Add to targets array target.tag = 1; [_targets addObject:target]; } This code makes CCSprites move from the right side of the screen to the left. How could I change this to make the CCSprites to move from the top of the screen to the bottom?

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  • Multiple enemy array in LibGDX

    - by johnny-b
    I am trying to make a multiple enemy array, where every 30 secods a new bullet comes from a random point. And if the bullet is clicked it should disapear and a pop like an explosion should appear. And if the bullet hits the ball then the ball pops. so the bullet should change to a different sprite or texture. same with the ball pop. But all that happens is the bullet if touched pops and nothing else happens. And if modified then the bullet keeps flashing as the update is way too much. I have added COMMENTS in the code to explain more on the issues. below is the code. if more code is needed i will provide. Thank you public class GameRenderer { private GameWorld myWorld; private OrthographicCamera cam; private ShapeRenderer shapeRenderer; private SpriteBatch batcher; // Game Objects private Ball ball; private ScrollHandler scroller; private Background background; private Bullet bullet1; private BulletPop bPop; private Array<Bullet> bullets; // This is for the delay of the bullet coming one by one every 30 seconds. /** The time of the last shot fired, we set it to the current time in nano when the object is first created */ double lastShot = TimeUtils.nanoTime(); /** Convert 30 seconds into nano seconds, so 30,000 milli = 30 seconds */ double shotFreq = TimeUtils.millisToNanos(30000); // Game Assets private TextureRegion bg, bPop; private Animation bulletAnimation, ballAnimation; private Animation ballPopAnimation; public GameRenderer(GameWorld world) { myWorld = world; cam = new OrthographicCamera(); cam.setToOrtho(true, 480, 320); batcher = new SpriteBatch(); // Attach batcher to camera batcher.setProjectionMatrix(cam.combined); shapeRenderer = new ShapeRenderer(); shapeRenderer.setProjectionMatrix(cam.combined); // This is suppose to produce 10 bullets at random places on the background. bullets = new Array<Bullet>(); Bullet bullet = null; float bulletX = 00.0f; float bulletY = 00.0f; for (int i = 0; i < 10; i++) { bulletX = MathUtils.random(-10, 10); bulletY = MathUtils.random(-10, 10); bullet = new Bullet(bulletX, bulletY); AssetLoader.bullet1.flip(true, false); AssetLoader.bullet2.flip(true, false); bullets.add(bullet); } // Call helper methods to initialize instance variables initGameObjects(); initAssets(); } private void initGameObjects() { ball = GameWorld.getBall(); bullet1 = myWorld.getBullet1(); bPop = myWorld.getBulletPop(); scroller = myWorld.getScroller(); } private void initAssets() { bg = AssetLoader.bg; ballAnimation = AssetLoader.ballAnimation; bullet1Animation = AssetLoader.bullet1Animation; ballPopAnimation = AssetLoader.ballPopAnimation; } // This is to take the bullet away when clicked or touched. public void onClick() { for (int i = 0; i < bullets.size; i++) { if (bullets.get(i).getBounds().contains(0, 0)) bullets.removeIndex(i); } } private void drawBackground() { batcher.draw(bg1, background.getX(), background.getY(), background.getWidth(), backgroundMove.getHeight()); } public void render(float runTime) { Gdx.gl.glClearColor(0, 0, 0, 1); Gdx.gl.glClear(GL30.GL_COLOR_BUFFER_BIT); batcher.begin(); // Disable transparency // This is good for performance when drawing images that do not require // transparency. batcher.disableBlending(); drawBackground(); batcher.enableBlending(); // when the bullet hits the ball, it should be disposed or taken away and a ball pop sprite/texture should be put in its place if (bullet1.collides(ball)) { // draws the bPop texture but the bullet does not go just keeps going around, and the bPop texture goes. batcher.draw(AssetLoader.bPop, 195, 273); } batcher.draw(AssetLoader.ballAnimation.getKeyFrame(runTime), ball.getX(), ball.getY(), ball.getWidth(), ball.getHeight()); // this is where i am trying to make the bullets come one by one, and if removed via the onClick() then bPop animation // should play but does not??? if(TimeUtils.nanoTime() - lastShot > shotFreq){ // Create your stuff for (int i = 0; i < bullets.size; i++) { bullets.get(i); batcher.draw(AssetLoader.bullet1Animation.getKeyFrame(runTime), bullet1.getX(), bullet1.getY(), bullet1.getOriginX(), bullet1.getOriginY(), bullet1.getWidth(), bullet1.getHeight(), 1.0f, 1.0f, bullet1.getRotation()); if (bullets.removeValue(bullet1, false)) { batcher.draw(AssetLoader.ballPopAnimation.getKeyFrame(runTime), bPop1.getX(), bPop1.getY(), bPop1.getWidth(), bPop1.getHeight()); } } /* Very important to set the last shot to now, or it will mess up and go full auto */ lastShot = TimeUtils.nanoTime(); } // End SpriteBatch batcher.end(); } } Thank you

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  • Are there any open source projects for car engine sound simulation?

    - by Petteri Hietavirta
    I have been thinking how to create realistic sound for a car. The main sound is the engine, then all kind of wind, road and suspension sounds. Are there any open source projects for the engine sound simulation? Simply pitching up the sample does not sound too great. The ideal would be to something that allows me to pick type of the engine (i.e. inline-4 vs v-8), add extras like turbo/supercharger whine and finally set the load and rpm. Edit: Something like http://www.sonory.org/examples.html

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  • Lightning whip particle effects

    - by Fibericon
    I'm currently using Mercury Particle Engine for the particle effects in my game, and I'm trying to create a sort of lightning whip - basically a lightning effect bound to a line that curves when the player moves. I know how to use the editor, and I have particle effects working in game. However, I'm completely lost as to where I should start for this specific particle effect. Perhaps if I could find the code for it in a different particle engine, I could convert it, but I can't seem to find that either. What I did find was a lot of tutorials for creating the lines associated with lightning programmatically, which doesn't help in this case because I don't want it to be rigid. Perhaps it would be more like some sort of laser beam with crackling effects around it? I'm running into a wall as far as even beginning to implement this goes.

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  • why would you use textures that are not a power of 2?

    - by Will
    In the early days of OpenGL and DirectX, it was required that textures were powers of two. This meant that interpolation of float values could be done very quickly using shifting and such. Since OpenGL 2.0, and preceding that via an extension, non-power-of-two texture dimensions has been supported. Are there performance advantages to sticking to power-of-two textures on modern integrated and discrete GPUs? What advantages do non-power-of-two textures have, if any? Are there large populations of desktop users who don't have cards that support non-power-of-two textures?

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  • Implementing movement on a grid

    - by Dvole
    I have a simple snake game, where I have other NPC snakes on the field. How do I calculate the movement of those other snakes so that they did not hit walls, and each other? So far I have it like this: I check for current coordinates and when there is a wall nearby I change direction to some other one. And so on, this way the snakes never collide the walls. But not actually colliding other snakes, how do I prevent this? I figured I could probe for the direction I'm heading and if there is anything there I would change direction too, but there is a set of situation where this won't work, for example if another snake will block off all exits later.

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  • How can I log key presses in Game Maker?

    - by skeletalmonkey
    I'm trying to create a log of a players actions as they play a game of Spelunky. The easiest I've found to do this is to log what keys are pressed at each frame. What I don't know how to do is how to integrate this with the Game Maker source code of Spelunky. Is there a specific way to create a script that is checked every frame/tick (don't know the right term) and a command to find what buttons are pressed?

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  • Using "screenshots" in a game, is it allowed?

    - by DevilWithin
    Lets say I have a game that is some kind of a quiz, and its questions are themed around gaming. For it to be interesting, I would need to make references to well-known games and game-related stuff. In a copyright infrigement sense, could I have problems with this? Imagine a question such as, "What was the currency used in game X?", or "Which company made game Y?". Also, the same applied to screenshots of known games, and have a question near it, such as "What game is this image from?". Toughts? Thanks

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  • Image loaded from TGA texture isn't displayed correctly

    - by Ramy Al Zuhouri
    I have a TGA texture containing this image: The texture is 256x256. So I'm trying to load it and map it to a cube: #import <OpenGL/OpenGL.h> #import <GLUT/GLUT.h> #import <stdlib.h> #import <stdio.h> #import <assert.h> GLuint width=640, height=480; GLuint texture; const char* const filename= "/Users/ramy/Documents/C/OpenGL/Test/Test/texture.tga"; void init() { // Initialization glEnable(GL_DEPTH_TEST); glViewport(-500, -500, 1000, 1000); glMatrixMode(GL_PROJECTION); glLoadIdentity(); gluPerspective(45, width/(float)height, 1, 1000); glMatrixMode(GL_MODELVIEW); glLoadIdentity(); gluLookAt(0, 0, -100, 0, 0, 0, 0, 1, 0); // Texture char bitmap[256][256][3]; FILE* fp=fopen(filename, "r"); assert(fp); assert(fread(bitmap, 3*sizeof(char), 256*256, fp) == 256*256); fclose(fp); glGenTextures(1, &texture); glBindTexture(GL_TEXTURE_2D, texture); glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_MAG_FILTER, GL_LINEAR); glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_MIN_FILTER, GL_LINEAR); glTexImage2D(GL_TEXTURE_2D, 0, GL_RGB, 256, 256, 0, GL_RGB, GL_UNSIGNED_BYTE, bitmap); } void display() { glClearColor(0, 0, 0, 0); glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT); glEnable(GL_TEXTURE_2D); glBindTexture(GL_TEXTURE_2D, texture); glColor3ub(255, 255, 255); glBegin(GL_QUADS); glVertex3f(0, 0, 0); glTexCoord2f(0.0, 0.0); glVertex3f(40, 0, 0); glTexCoord2f(0.0, 1.0); glVertex3f(40, 40, 0); glTexCoord2f(1.0, 1.0); glVertex3f(0, 40, 0); glTexCoord2f(1.0, 0.0); glEnd(); glDisable(GL_TEXTURE_2D); glutSwapBuffers(); } int main(int argc, char** argv) { glutInit(&argc, argv); glutInitDisplayMode(GLUT_RGB | GLUT_DEPTH | GLUT_DOUBLE); glutInitWindowPosition(100, 100); glutInitWindowSize(width, height); glutCreateWindow(argv[0]); glutDisplayFunc(display); init(); glutMainLoop(); return 0; } But this is what I get when the window loads: So just half of the image is correctly displayed, and also with different colors.Then if I resize the window I get this: Magically the image seems to fix itself, even if the colors are wrong.Why?

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  • Will we see a trend of stereoscopic 3D games coming up in the near future?

    - by Vish
    I've noticed that the trend of movies is diving into the world of movies with 3-dimensional camera.For me it provoked a thought as if it was the same feeling people got when they saw a colour movie for the first time, like in the transition from black and white to colour it is a whole new experience. For the first time we are experiencing the Z(depth) factor and I really mean when I said "experiencing". So my question is or maybe if not a question, but Is there a possibility of a genre of 3d camera games upcoming?

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  • Initial direction of intersection between two moving vehicles?

    - by Larolaro
    I'm working with a bit of projectile prediction for my AI and I'm looking for some ideas, any input? If a blue vehicle is moving in a direction at a constant speed of X m/s and a stationary orange vehicle has a rocket that travels Y m/s, which initial direction would the orange vehicle have to fire the rocket for it to hit the blue vehicle at the earliest time in the future? Thanks for reading!

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  • How should I structure my turn based engine to allow flexibility for players/AI and observation?

    - by Reefpirate
    I've just started making a Turn Based Strategy engine in GameMaker's GML language... And I was cruising along nicely until it came time to handle the turn cycle, and determining who is controlling what player, and also how to handle the camera and what is displayed on screen. Here's an outline of the main switch happening in my main game loop at the moment: switch (GameState) { case BEGIN_TURN: // Start of turn operations/routines break; case MID_TURN: switch (PControlledBy[Turn]) { case HUMAN: switch (MidTurnState) { case MT_SELECT: // No units selected, 'idle' UI state break; case MT_MOVE: // Unit selected and attempting to move break; case MT_ATTACK: break; } break; case COMPUTER: // AI ROUTINES GO HERE break; case OBSERVER: // OBSERVER ROUTINES GO HERE break; } break; case END_TURN: // End of turn routines/operations, and move Turn to next player break; } Now, I can see a couple of problems with this set-up already... But I don't have any idea how to go about making it 'right'. Turn is a global variable that stores which player's turn it is, and the BEGIN_TURN and END_TURN states make perfect sense to me... But the MID_TURN state is baffling me because of the things I want to happen here: If there are players controlled by humans, I want the AI to do it's thing on its turn here, but I want to be able to have the camera follow the AI as it makes moves in the human player's vision. If there are no human controlled player's, I'd like to be able to watch two or more AI's battle it out on the map with god-like 'observer' vision. So basically I'm wondering if there are any resources for how to structure a Turn Based Strategy engine? I've found lots of writing about pathfinding and AI, and those are all great... But when it comes to handling the turn structure and the game states I am having trouble finding any resources at all. How should the states be divided to allow flexibility between the players and the controllers (HUMAN, COMPUTER, OBSERVER)? Also, maybe if I'm on the right track I just need some reassurance before I lay down another few hundred lines of code...

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  • exact point oh a rotating sphere

    - by nkint
    I have a sphere that represents the heart textured with real pictures. It's rotating about the x axis, and when user click down it has to show me the exact place he clicked on. For example if he clicked on Singapore and the system should be able to: understand that user clicked on the sphere (OK, I'll do it with unProject) understand where user clicked on the sphere (ray-sphere collision?) and take into account the rotation transform sphere-coordinate to some coordinate system good for some web-api service ask to api (OK, this is the simpler thing for me ;-) some advice?

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  • What kind of physics to choose for our arcade 3D MMO?

    - by Nick
    We're creating an action MMO using Three.js (WebGL) with an arcadish feel, and implementing physics for it has been a pain in the butt. Our game has a terrain where the character will walk on, and in the future 3D objects (a house, a tree, etc) that will have collisions. In terms of complexity, the physics engine should be like World of Warcraft. We don't need friction, bouncing behaviour or anything more complex like joints, etc. Just gravity. I have managed to implement terrain physics so far by casting a ray downwards, but it does not take into account possible 3D objects. Note that these 3D objects need to have convex collisions, so our artists create a 3D house and the player can walk inside but can't walk through the walls. How do I implement proper collision detection with 3D objects like in World of Warcraft? Do I need an advanced physics engine? I read about Physijs which looks cool, but I fear that it may be overkill to implement that for our game. Also, how does WoW do it? Do they have a separate raycasting system for the terrain? Or do they treat the terrain like any other convex mesh? A screenshot of our game so far:

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  • Tiled Editor: How is this Map Handling Collision?

    - by user2736286
    BrowserQuest map in question. From what I understand, with tiled, there are two main ways to specify collision: Create an object layer, and interpret the shapes in the engine as collision objects. Create a tiled layer, and make all tiles in the layer have a collision property, and interpret all tiles in the layer as collision objects. I'm using BrowserQuest as a big source of inspiration for my project, and I want to know how they handled collision on the level editing side. I've checked through all their layers, expecting an object layer to be handling cliff collision like: But there are no such object layers to be found. Furthermore, the tile layers containing the tiles for such cliffs have no properties at all, meaning that they didn't just specify "collision" for such tile layers. I especially need to know how they handled less rectangular shapes like: I could imagine that they are not using explicit collision layers, but instead determining collision in the actual engine, based off the presence of specific tile layer sprites. Only because BrowserQuest has whole-tile movement, and it wouldn't look too odd if a small apple, taking up only a fraction of the tile size, prevents movement over that entire tile. But I'm creating a game with more precise movement, so collision has to be tight to the apple, and I really want to know how BrowserQuest approached collision defining. If anyone knowledgeable with Tiled could take a quick look at the map, I'd appreciate it! I'm tearing my hair out here :). Thanks

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  • How can I get my meshes to work with Bullet Physics?

    - by Molmasepic
    The problem is that I'm trying to use my meshes with Bullet Physics for the collision part of my game. When I attempted doing this method with my GLM(model loading library by nate robins) model, I get a segmentation fault in the debug, so I figured that it doesnt like the coordinate variables of the model. If i use blender to export my model as a collision file, what type of file should I use? I have heard of a .bullet exporter, but i dont know hot to integrate this python script into my Blender 2.5 program.

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  • How do I apply 2 rotations about different points to a single primitive using OpenGL

    - by Fenoec
    I'm working on a 2D top-down shooter game that has a rotation feature like Realm Of The Mad God such that if you press e the camera rotates around the character in a clockwise direction and q rotates the camera around the character in a counterclockwise direction. I have this working with my floors and walls by translating to the character, doing the screen rotation, and drawing everything with the character as the origin. The problem arises when I shoot projectiles which need to both rotate around the character and rotate around themselves (shooting uses the mouse cursor so I can shoot at any angle). For example, if the screen is not rotated and I'm shooting rectangular projectiles, I want them to face in the direction I'm shooting (rotation around themselves). However if I only do this rotation, when I then rotate the screen the projectiles will always shoot at the same position because my cursor position does not change. Therefore I need to also either rotate the projectiles around the character or rotate the mouse cursor position to get the correct position (which would then totally screw up all of the collision detection). Likewise if I only do the screen rotation on projectiles, the rectangles will always be facing the same way and they would only look correct if I were shooting straight up or straight down. So my question is, how can I perform 2 rotations on a primitive around 2 different points? The only way I can think of is to translate to the character and do the screen rotation, then somehow calculate the translation required to move back to the middle of the projectile (seeing as how my axes are now rotated) and do its rotation. Or am I thinking about this in the wrong way and there is a different solution to accomplishing this effect?

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  • Trouble using Ray.Intersect method on bounding boxes in a 2D XNA game

    - by getsauce
    I am trying to use a ray and bounding box to determine if a box is between the player and the mouse pointer in 2D space. When I try testing the code, the collision will return true when pointed at the box but it also returns true under other circumstances where it shouldn't. For instance. If I have a player on the left and a box directly to the right, I can put the mouse pointer a few hundred pixels above the box or a few hundred below and it will still return true. Also, I can put my mouse pointer to the left of the player and in a certain area it will still return true. Does anyone have any idea what might cause this? I have left out definitions for some of my members and properties just to make this code sample easier to read. The position property is just a Vector2 for where each object is located. ray = new Ray(new Vector3(player.Position, 0), new Vector3(mouse.Position, 0); box = new BoundingBox(new Vector3(box.Position, 0), new Vector3( new Vector2(box.Position + box.Width, box.Position + box.Height), 0); if (ray.Intersects(box) != null) collision = true; else collision = false;

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  • Could someone explain in detail simplex /or perlin noise?

    - by Ryan Szemplinski
    I am really interested in perlin/simplex noise but I am having a difficult time understanding it. I am not very good at math but I am willing to learn because it interests me greatly. If someone is willing to dedicate there time into this I would be immensely appreciative of this. To be more concise, an explanation of functions and some calculation inside the functions would be nice to understand. Thanks in advance!

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