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  • Without using a pre-built physics engine, how can I implement 3-D collision detection from scratch?

    - by Andy Harglesis
    I want to tackle some basic 3-D collision detection and was wondering how engines handle this and give you a pretty interface and make it so easy ... I want to do it all myself, however. 2-D collision detection is extremely simple and can be done multiple ways that even beginner programmers could think up: 1.When the pixels touch; 2.when a rectangle range is exceeded; 3.when a pixel object is detected near another one in a pixel-based rendering engine. But 3-D is different with one dimension, but complex in many more so ... what are the general, basic understanding/examples on how 3-D collision detection can be implemented? Think two shaded, OpenGL cubes that are moved next to each other with a simple OpenGL rendering context and keyboard events.

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  • Particles are not moving correctly [closed]

    - by cr33p
    I want to make a particle explosion, after something gets destroyed, but somehow only one line of mixed colors show up on the screen. Here's the header: http://pastebin.com/JW5bPLj2 Here's the source: http://pastebin.com/KHmFqytD I don't get what's wrong, as it's nearly the same as in "Programming Linux Games" Can somebody help me fix that? PS: "Uint32 delta" is needed to update the pixels based on time. PSS: Maybe I should add that it's programmed in C and includes SDL. EDIT: Found the problem. It was the "drawParticles" function. The problem was, that I passed a double to "offset" (as particles[i].x, etc are all doubles). So I ended up with values like ~MAX_INT because I didn't cast the doubles properly to ints.

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  • Checking validation of entries in a Sudoku game written in Java

    - by Mico0
    I'm building a simple Sudoku game in Java which is based on a matrix (an array[9][9]) and I need to validate my board state according to these rules: all rows have 1-9 digits all columns have 1-9 digits. each 3x3 grid has 1-9 digits. This function should be efficient as possible for example if first case is not valid I believe there's no need to check other cases and so on (correct me if I'm wrong). When I tried doing this I had a conflict. Should I do one large for loop and inside check columns and row (in two other loops) or should I do each test separately and verify every case by it's own? (Please don't suggest too advanced solutions with other class/object helpers.) This is what I thought about: Main validating function (which I want pretty clean): public boolean testBoard() { boolean isBoardValid = false; if (validRows()) { if (validColumns()) { if (validCube()) { isBoardValid = true; } } } return isBoardValid; } Different methods to do the specific test such as: private boolean validRows() { int rowsDigitsCount = 0; for (int num = 1; num <= 9; num++) { boolean foundDigit = false; for (int row = 0; (row < board.length) && (!foundDigit); row++) { for (int col = 0; col < board[row].length; col++) { if (board[row][col] == num) { rowsDigitsCount++; foundDigit = true; break; } } } } return rowsDigitsCount == 9 ? true : false; } I don't know if I should keep doing tests separately because it looks like I'm duplicating my code.

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  • Help with Meshes, and Shading

    - by Brian Diehr
    In a game I'm making in LibGdx, I wish to incorporate a ripple effect. I'm confused as to how I get access to the individual pixels on the screen, or any way to influence them (apart from what I can do with sprite batch). I have my suspicions that I have to do it through openGL, and it has something to do with apply a mesh? This brings me to my question, what exactly is a mesh? I've been working on my game for about half a year, and am doing great with the other aspects of the game, but I find this more advance stuff isn't as well documented. Thanks!

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  • camera movement along with model

    - by noddy
    I am making a game in which a cube travels along a maze with the motive of crossing the maze safely. I have two problems in this. The cube needs to have a smooth movement like it is traveling on a frictionless surface. So could someone help me achieve this. I need to have this done in a event callback function I need to move the camera along with the cube. So could someone advice me a good tutorial about camera positions along with an object?

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  • Dropping multiple objects using an array in Actionscript?

    - by Eratosthenes
    I'm trying to get these fireBalls to drop more often, I'm not sure if I'm using Math.random correctly. Also, for some reason I'm getting a null reference because I think the fireBalls array waits for one to leave the stage before dropping another one? This is the relevant code: var sun:Sun=new Sun var fireBalls:Array=new Array() var left:Boolean; function onEnterFrame(event:Event){ if (left) { sun.x = sun.x - 15; }else{ sun.x = sun.x + 15; } if (fireBalls.length>0&&fireBalls[0].y>stage.stageHeight){ // Fireballs exit stage removeChild(fireBalls[0]); fireBalls.shift(); } for (var j:int=0; j<fireBalls.length; j++){ fireBalls[j].y=fireBalls[j].y+15; if (fireBalls[j].y>stage.stageHeight-fireBall.width/2){ } } if (Math.random()<.2){ // Fireballs shooting from Sun var fireBall:FireBall=new FireBall; fireBall.x=sun.x; addChild(fireBall); fireBalls.push(fireBall); } }

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  • Android Bitmap: Collision Detecting

    - by Aekasitt Guruvanich
    I am writing an Android game right now and I would need some help in the collision of the Pawns on screen. I figured I could run a for loop on the Player class with all Pawn objects on the screen checking whether or not Width*Height intersects with each other, but is there a more efficient way to do this? And if you do it this way, many of the transparent pixel inside the rectangular area will also be considered as collision as well. Is there a way to check for collision between Bitmap on a Canvas that disregard transparent pixels? The class for player is below and the Pawn class uses the same method of display. Class Player { private Resources res; // Used for referencing Bitmap from predefined location private Bounds bounds; // Class that holds the boundary of the screen private Bitmap image; private float x, y; private Matrix position; private int width, height; private float velocity_x, velocity_y; public Player (Resources resources, Bounds boundary) { res = resources; bounds = boundary; image = BitmapFactory.decodeResource(res, R.drawable.player); width = image.getWidth(); height = image.getHeight(); position = new Matrix(); x = bounds.xMax / 2; // Initially puts the Player in the middle of screen y = bounds.yMax / 2; position.preTranslate(x,y); } public void draw(Canvas canvas) { canvas.drawBitmap(image, position, null); } }

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  • Purchasing a TV show adaptation rights, how does it work?

    - by Mikalichov
    Basically, I was thinking about a game based on a TV show, just for fun, and ended up thinking "well, it's not like it can be made anyway". Or can it? In the present situation, developing a game by myself/ourselves on my/our free time, and then using crowdfunding to purchase the rights is not that crazy, if the show is really popular... and the rights not too expensive. Purchasing the rights of the whole show is obiously a sh!tload of money, but what about adaptation rights? What is the range of price it can be? Is it a percentage of the full rights? Does it depend on the kind of adaptation (novel vs. toy vs. game)? ps: if it can help answer, I was thinking about a MLPFIM retro RPG. Please don't laugh at me.

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  • CLR Profiler Allocated Bytes and XNA ContentManager

    - by Vackup
    I've been fighting with XNA ContentManager and memory allocations for some weeks because I'm trying to port my game from XNA (Windows) to ExEn / Monotouch (iphone). The problem is that after playing a few levels, my game exits unexpectedly on a real iPhone device (not simulator). Profiling memory usage on Windows with CLRProfile, I found some useful stuff but I also found something I dont understand. If I use 2 ContentManagers (1 for shared assets and 1 for level assets), when profiling, "Allocated Bytes" grows and grows after level through level but Memory consumption measured by Windows Task Manager stays constant (down when I unload the content manager and up again when I load content). Obviously, I contentManager.Unload() when level ends. After a few levels my game exits unexpectedly on an iPhone device. If I use 1 content manager, "CRLProfiler Allocated Bytes" stays constant on Windows and on the iPhone; I can play the game normally and it doesnt exit unexpectedly. I use the same assets level through level. It seems like in ios (iPhone) when loading and unloading the same assets, it allocates memory and consumes all device memory, so the ios kill it. Can anybody explain me how this really works? I've read quite a bit, but I still don't understand what's going on.

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  • How to avoid the GameManager god object?

    - by lorancou
    I just read an answer to a question about structuring game code. It made me wonder about the ubiquitous GameManager class, and how it often becomes an issue in a production environment. Let me describe this. First, there's prototyping. Nobody cares about writing great code, we just try to get something running to see if the gameplay adds up. Then there's a greenlight, and in an effort to clean things up, somebody writes a GameManager. Probably to hold a bunch of GameStates, maybe to store a few GameObjects, nothing big, really. A cute, little, manager. In the peaceful realm of pre-production, the game is shaping up nicely. Coders have proper nights of sleep and plenty of ideas to architecture the thing with Great Design Patterns. Then production starts and soon, of course, there is crunch time. Balanced diet is long gone, the bug tracker is cracking with issues, people are stressed and the game has to be released yesterday. At that point, usually, the GameManager is a real big mess (to stay polite). The reason for that is simple. After all, when writing a game, well... all the source code is actually here to manage the game. It's easy to just add this little extra feature or bugfix in the GameManager, where everything else is already stored anyway. When time becomes an issue, no way to write a separate class, or to split this giant manager into sub-managers. Of course this is a classical anti-pattern: the god object. It's a bad thing, a pain to merge, a pain to maintain, a pain to understand, a pain to transform. What would you suggest to prevent this from happening?

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  • Which game engine for HTML5 + Node.js

    - by Chrene
    I want to create a realtime multiplayer game using and HTML5. I want to use node.js as the server, and I only need to be able to render images in a canvas, play some sounds, and do some basic animations. The gameloop should be done in the server, and the client should do callback via sockets to render the canvas. I am not going to spend any money on the engine, and I don't want to use cocos2d-javascript.

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  • How much isometric sprites can one optimize by mirroring and alike?

    - by Tom
    I am working on a basic isometric game, and am struggling to find the correct mirrors. 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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  • XNA Spritebatch sorting by texture vs depth

    - by Motig
    I am refining my 2D game engine, and I want to look in to sorting sprite batches by texture (because I'm quite often using the same textures repeatedly). However, I also want to retain a few 'layers' of depth (i.e. ground < buildings < units < GUI etc). My question is, which of the following is the best approach (in terms of performance)? Create multiple SpriteBatches and Begin() and End() them in order; or... Create a single SpriteBatch and call Begin() and End() multiple times, once for each layer (in order)?

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  • Cannot find the Cocos2d templates

    - by PeterK
    I am about to upgrade to the last version of Cocos2d and would like to uninstall my current Cocos2d templates before installing the new one but cannot find the templates to delete. I have looked at a number of web comments on this such as Uninstall Cocos2D ans another uninstall example but to no avail. However, I still see Cocos2d in my Xcode (4.5) framework. I have been searching my directories but cannot find it. Is there anyone out there who can give me a hint where to find it so i can delete in?

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  • Keyboard is not detecting as3

    - by Kaoru
    i got this problem, when i press 1 in keyboard, the function does not run, even i already declared it. How do i solve this? Here is the code: public function Character() { Constant.loaderMario.load(new URLRequest("mario.swf")); addEventListener(KeyboardEvent.KEY_DOWN, selectingPlayer); } private function selectingPlayer(event:KeyboardEvent):void { isoTextMario = new Word(); isoTextChocobo = new Word(); if (event.keyCode == Keyboard.NUMBER_1|| event.keyCode == 49) { Constant.marioSelected = true; if (Constant.marioSelected == true) { isoTextMario.marioCharacter(); addChild(isoTextMario); } } else if (event.keyCode == Keyboard.NUMBER_2 || event.keyCode == 50) { Constant.chocoboSelected = true; if (Constant.chocoboSelected == true) { isoTextChocobo.chocoboCharacter(); addChild(isoTextChocobo); } } }

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  • What's the best way to start up a opengl context in my setup?

    - by NoobScratcher
    Would it be better to create a callback function which contains a OpenGL 3.0+ Context including viewport, matrix, etc or setup OpenGL in a function called GL_StartUp and use that GL_StartUp Function in the mainloop and callback function to that Function. I want my program to only show a OpenGL default scene when the user clicks on the New Game menu item in the menu bar rather then just have one setup when the program starts. I'm using Ubuntu 64bit, GTK 3.0 and GTK OpenGL

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  • How can you easily determine the textureRect for tiled maps in SFML 2.0?

    - by ThePlan
    I'm working on creating a 2d map prototype, and I've come across the rendering bit of it. I have a tilesheet with tiles, each tile is 30x30 pixels, and there's a 1px border to delimitate them. In SFML the usual method of drawing a part of a tilesheet is declaring an IntRect with the rectangle coordinates then calling the setTextureRectangle() method to a sprite. In a small game it would work, but I have well over 45 tiles and adding more every day, I can't declare 45 intRects for every material, the map is not optimized yet, it would get even worse if I would have to call the setTextureRect() method, aside from declaring 45 rectangleInts. How could I simplify this task? All I need is a very simple and flexible solution for extracting a region of the tilesheet. Basically I have a Tile class. I create multiple instances of tiles (vectors) and each tile has a position and a material. I parse a map file and as I parse it I set the materials of the map according to the parsed map file, and all I need to do is render. Basically I need to do something like this: switch(tile.getMaterial()) { case GRASS: material_sprite.setTextureRect(something); window.draw(material_sprite); break; case WATER: material_sprite.setTextureRect(something); window.draw(material_sprite); break; // handle more cases }

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  • Is there any map maker for javaME game?

    - by user1494517
    For the past two weeks I was trying to make a map maker for my java ME 2D RPG game. I failed because i get errors using slick TWL and the forum for this is inactive. So I just wondered is there anyone that knows slick TWL (Themable Widget Library)? Or maybe do you know a good MapMaker where i could upload my map elements build a map and get numbers to use them for building map with LayerManager class? Already found one http://sourceforge.net/projects/tilemapeditor2d/. But the thing is my map elements are in different .png images. In one of those images there is 16 elements (trees water and etc) and those kind of images are 29. So it would be hard to build a map with LayerManager Well I was thinking putting everything into one image and that way it would be simplier.

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  • multi-thread in mmorpg server

    - by jean
    For MMORPG, there is a tick function to update every object's state in a map. The function was triggered by a timer in fixed interval. So each map's update can be dispatch to different thread. At other side, server handle player incoming package have its own threads also: I/O threads. Generally, the handler of the corresponding incoming package run in I/O threads. So there is a problem: thread synchronization. I have consider two methods: Synchronize with mutex. I/O thread lock a mutex before execute handler function and map thread lock same mutex before it execute map's update. Execute all handler functions in map's thread, I/O thread only queue the incoming handler and let map thread to pop the queue then call handler function. These two have a disadvantage: delay. For method 1, if the map's tick function is running, then all clients' request need to waiting the lock release. For method 2, if map's tick function is running, all clients' request need to waiting for next tick to be handle. Of course, there is another method: add lock to functions that use data which will be accessed both in I/O thread & map thread. But this is hard to maintain and easy to goes incorrect. It needs carefully check all variables whether or not accessed by both two kinds thread. My problem is: is there better way to do this? Notice that I said map is logic concept means no interactions can happen between two map except transport. I/O thread means thread in 3rd part network lib which used to handle client request.

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  • Techniques for lighting a texture (no shadows)

    - by Paul Manta
    I'm trying to learn about dynamic shadows for 2D graphics. While I understand the basic ideas behind determining what areas should be lit and which should be in shadow, I don't know how I would "lighten" a texture in the first place. Could you go over various popular techniques for lighting a texture and what (dis)advantages each one has? Also, how is lighting a texture with colored light different from using white light?

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  • Why does OpenGL seem to ignore my glBindTexture call?

    - by Killrazor
    I'm having problems making a simple sprite rendering. I load 2 different textures. Then, I bind these textures and draw 2 squares, one with each texture. But only the texture of the first rendered object is drawn in both squares. Its like if I'd only use a texture or as if glBindTexture don't work properly. I know that GL is a state machine, but I think that you only need to change active texture with glBindTexture. I load texture with this method: bool CTexture::generate( utils::CImageBuff* img ) { assert(img); m_image = img; CHECKGL(glGenTextures(1,&m_textureID)); CHECKGL(glBindTexture(GL_TEXTURE_2D,m_textureID)); CHECKGL(glTexParameteri(GL_TEXTURE_2D,GL_TEXTURE_MIN_FILTER,GL_LINEAR)); CHECKGL(glTexParameteri(GL_TEXTURE_2D,GL_TEXTURE_MAG_FILTER,GL_LINEAR)); //CHECKGL(glTexImage2D(GL_TEXTURE_2D,0,img->getBpp(),img->getWitdh(),img->getHeight(),0,img->getFormat(),GL_UNSIGNED_BYTE,img->getImgData())); CHECKGL(glTexImage2D(GL_TEXTURE_2D, 0, GL_RGBA, img->getWitdh(), img->getHeight(), 0, GL_RGBA, GL_UNSIGNED_BYTE, img->getImgData())); return true; } And I bind textures with this function: void CTexture::bind() { CHECKGL(glBindTexture(GL_TEXTURE_2D,m_textureID)); } Also, I draw sprites with this method void CSprite2D::render() { CHECKGL(glLoadIdentity()); CHECKGL(glEnable(GL_TEXTURE_2D)); CHECKGL(glEnable(GL_BLEND)); CHECKGL(glBlendFunc(GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA)); m_texture->bind(); CHECKGL(glPushMatrix()); CHECKGL(glBegin(GL_QUADS)); CHECKGL(glTexCoord2f(m_textureAreaStart.s,m_textureAreaStart.t)); // 0,0 by default CHECKGL(glVertex3i(m_position.x,m_position.y,0)); CHECKGL(glTexCoord2f(m_textureAreaEnd.s,m_textureAreaStart.t)); // 1,0 by default CHECKGL(glVertex3i( m_position.x + m_dimensions.x, m_position.y, 0)); CHECKGL(glTexCoord2f(m_textureAreaEnd.s, m_textureAreaEnd.t)); // 1,1 by default CHECKGL(glVertex3i( m_position.x + m_dimensions.x, m_position.y + m_dimensions.y, 0)); CHECKGL(glTexCoord2f(m_textureAreaStart.s, m_textureAreaEnd.t)); // 0,1 by default CHECKGL(glVertex3i( m_position.x, m_position.y + m_dimensions.y,0)); CHECKGL(glPopMatrix()); CHECKGL(glDisable(GL_BLEND)); } Edit: I bring also the check error code: int CheckGLError(const char *GLcall, const char *file, int line) { GLenum errCode; //avoids infinite loop int errorCount = 0; while ( (errCode=glGetError()) != GL_NO_ERROR && ++errorCount < 3000) { utils::globalLogPtr log = utils::CGLogFactory::getLogInstance(); const GLubyte *errString; errString = gluErrorString(errCode); std::stringstream ss; ss << "In "<< __FILE__<<"("<< __LINE__<<") "<<"GL error with code: " << errCode<<" at file " << file << ", line " << line << " with message: " << errString << "\n"; log->addMessage(ss.str(),ZEL_APPENDER_GL,utils::LOGLEVEL_ERROR); } return 0; }

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  • 16-bit PNGs in Slick2D

    - by Neglected
    I'm working on a project and I'm using some 3rd party sprites just to get it off the ground; recently I've come into a hitch. Slick2D doesn't seem to want to load my images. That is, it will warn me that images are the wrong bit-depth. All the images are in 16-bit PNG form (PNG is required for transparency). Is there any way I can disable the warning (being the bad guy programmer (the console print for each individual load REALLY SLOWS DOWN the image)) or is there another solution? I was thinking about converting all images (using imagemagick) to .gif (with an alpha channel). Would there be any loss in quality between formats? EDIT: I tried using imagemagick but some of the sprites use pure black so I can't do that without wrecking the image. EDIT2: using "identify" on any of the images show them as being 8-bit.. but Slick2D won't load them. What the hell? D: EDIT3: Issue solved (ish). If you are googling this then just disable the java png loader from slick by sticking this somewhere in your code (like the main method): System.setProperty("org.newdawn.slick.pngloader", "false");

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  • Cocos2D Command-Line Application

    - by Hasyimi Bahrudin
    Is it possible to create a terminal application which uses cocos2d? I've tried to make one using cocos2d 2.x, but it requires a MacGLView to be initialized. I need it so that I could program a terminal application that generates a screenshot given a TMX file and an optional preferred width or height parameter (for resizing). Then I can automate the generation of map previews for my game, instead of manually taking screenshots. It's not practical to load the actual TMX and resize it inside the game (what I'm currently doing), because each TMX file has 7 layers, my tile sheet is huge, and I have lots of levels.

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  • Physics Engine [Collision Response, 2-dimensional] experts, help!! My stack is unstable!

    - by Register Sole
    Previously, I struggle with the sequential impulse-based method I developed. Thanks to jedediah referring me to this paper, I managed to rebuild the codes and implement the simultaneous impulse based method with Projected-Gauss-Seidel (PGS) iterative solver as described by Erin Catto (mentioned in the reference of the paper as [Catt05]). So here's how it currently is: The simulation handles 2-dimensional rotating convex polygons. Detection is using separating-axis test, with a SKIN, meaning closest points between two polygons is detected and determined if their distance is less than SKIN. To resolve collision, simultaneous impulse-based method is used. It is solved using iterative solver (PGS-solver) as in Erin Catto's paper. Error-correction is implemented using Baumgarte's stabilization (you can refer to either paper for this) using J V = beta/dt*overlap, J is the Jacobian for the constraints, V the matrix containing the velocities of the bodies, beta an error-correction parameter that is better be < 1, dt the time-step taken by the engine, and overlap, the overlap between the bodies (true overlap, so SKIN is ignored). However, it is still less stable than I expected :s I tried to stack hexagons (or squares, doesn't really matter), and even with only 4 to 5 of them, they hardly stand still! Also note that I am not looking for a sleeping scheme. But I would settle if you have any explicit scheme to handle resting contacts. That said, I would be more than happy if you have a way of treating it generally (as continuous collision, instead of explicitly as a special state). Ideas I have: I would try adding a damping term (proportional to velocity) to the Baumgarte. Is this a good idea in general? If not I would not want to waste my time trying to tune the parameter hoping it magically works. Ideas I have tried: Using simultaneous position based error correction as described in the paper in section 5.3.2, turned out to be worse than the current scheme. If you want to know the parameters I used: Hexagons, side 50 (pixels) gravity 2400 (pixels/sec^2) time-step 1/60 (sec) beta 0.1 restitution 0 to 0.2 coeff. of friction 0.2 PGS iteration 10 initial separation 10 (pixels) mass 1 (unit is irrelevant for now, i modified velocity directly<-impulse method) inertia 1/1000 Thanks in advance! I really appreciate any help from you guys!! :)

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  • AS3 - At exactly 23 empty alpha channels, images below stop drawing

    - by user46851
    I noticed, while trying to draw large numbers of circles, that occasionally, there would be some kind of visual bug where some circles wouldn't draw properly. Well, I narrowed it down, and have noticed that if there is 23 or more objects with 00 for an alpha value on the same spot, then the objects below don't draw. It appears to be on a pixel-by-pixel basis, since parts of the image still draw. Originally, this problem was noticed with a class that inherited Sprite. It was confirmed to also be a problem with Sprites, and now Bitmaps, too. If anyone can find a lower-level class than Bitmap which doesn't have this problem, please speak up so we can try to find the origin of the problem. I prepared a small test class that demonstrates what I mean. You can change the integer value at line 20 in order to see the three tests I came up with to clearly show the problem. Is there any kind of workaround, or is this just a limit that I have to work with? Has anyone experienced this before? Is it possible I'm doing something wrong, despite the bare-bones implementation? package { import flash.display.Sprite; import flash.events.Event; import flash.display.Bitmap; import flash.display.BitmapData; public class Main extends Sprite { public function Main():void { if (stage) init(); else addEventListener(Event.ADDED_TO_STAGE, init); } private function init(e:Event = null):void { removeEventListener(Event.ADDED_TO_STAGE, init); // entry point Test(3); } private function Test(testInt:int):void { if(testInt==1){ addChild(new Bitmap(new BitmapData(200, 200, true, 0xFFFF0000))); for (var i:int = 0; i < 22; i++) { addChild(new Bitmap(new BitmapData(100, 100, true, 0x00000000))); } } if(testInt==2){ addChild(new Bitmap(new BitmapData(200, 200, true, 0xFFFF0000))); for (var j:int = 0; j < 23; j++) { addChild(new Bitmap(new BitmapData(100, 100, true, 0x00000000))); } } if(testInt==3){ addChild(new Bitmap(new BitmapData(200, 200, true, 0xFFFF0000))); for (var k:int = 0; k < 22; k++) { addChild(new Bitmap(new BitmapData(100, 100, true, 0x00000000))); } var M:Bitmap = new Bitmap(new BitmapData(100, 100, true, 0x00000000)); M.x += 50; M.y += 50; addChild(M); } } } }

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