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  • Flixel: doesn't light tile up

    - by Arno
    i'm creating a game with flixel, and I want to have a effect when you mouse over a tile, I tried implementing it, and this is what it gives: public class GameState extends FlxState { private var block:EmptyBlock; public function GameState() { } override public function create():void { for (var i:Number = 0; i < 30; i++) { block = new EmptyBlock(i, 20); block.create(); } } override public function update():void { block.update(); super.update(); } } } GameState class and here is the EmptyBlock class: public class EmptyBlock { private var x:int; private var y:int; private var row:FlxRect public function EmptyBlock(x:int, y:int ) { this.x = x; this.y = y; } public function create():void { row = new FlxRect(x, y, 32, 32); trace ("Created block at" + x + y); } public function update():void { if (FlxG.mouse.screenX == row.x) { if (FlxG.mouse.screenY == row.y) { var outline:FlxSprite = new FlxSprite(row.x, row.y).makeGraphic(row.width, row.height, 0x002525); } } } } }

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  • Handling player/background movements in 2D games

    - by lukeluke
    Suppose you have your animated character controlled by the player and a 2D world (like the old 2D side-scrolling games). When the user press right on the keyboard, the background is moved to the right. If the path is always horizontal, this is simple to do (incrementation/decrementation of the x-coordinate). But suppose that the path is instead a polygonal chain. My questions are: How do you move the background? How do you move the background if the game objects are managed with a physics engine like box2D?

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  • How do I separate model positions from view positions in MVC?

    - by tieTYT
    Using MVC in games (as opposed to web apps) always confuses me when it comes to the view. How am I supposed to keep the model agnostic of how the view is presenting things? I always end up giving the Model a position that holds x and y but invariably, these values end up being in units of pixels and that feels wrong. I can see the advantage* of avoiding that but how am I supposed to? This idea was suggested: Don't think of it in units of pixels, think of them in arbitrary distance units that just happen map to pixels at a 1:1 ratio. Oh, the resolution is half of what it was? We are now taking the x/y coordinates at 50% value for screen display, and your spells casting range is still 300 units long, which now is 150 pixels. But those numbers conveniently work out. What do I do if the numbers divide in such a way that I get decimal places? Floating points are unsafe. I think allowing decimal places would eventually cause really weird bugs in my game. *It'd let me write the model once and write different views depending on the device.

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  • Questions before I revamp my rendering engine to use shaders (GLSL)

    - by stephelton
    I've written a fairly robust rendering engine using OpenGL ES 1.1 (fixed-function.) I've been looking into revamping the engine to use OpenGL ES 2.0, which necessitates that I use shaders. I've been absorbing information all day long and still have some questions. Firstly, lighting. The fixed-function pipeline is guaranteed to have at least 8 lights available. My current engine finds lights that are "close" to the primitives being drawn and enables them; I don't know how many lights are going to be enabled until I draw a given model. Nothing is dynamically allocated in GLSL, so I have to define in a shader some number of lights to be used, right? So if I want to stick with 8, should I write my general purpose shader to have 8 lights and then use uniforms to tell it how many / which lights to use? Which brings me to another question: should I be concerned with the amount of data I'm allocating in a shader? Recent video cards have hundreds of "stream processors." If I've got a fragment shader being used on some number of fragments in a given triangle, I assume they must each have their own stack to work on. Are read-only variables copied here, or read when needed? My initial goal is to rework my code so that it is virtually identical to the current implementation. What I have in mind is to create my own matrix stack so that I can implement something along the lines of push/popMatrix and apply all my translations, rotations, and scales to this matrix, then provide the matrix to the vertex shader so that it can make very quick vertex translations. Is this approach sound? Edit: My original intention was to ask if there was a tutorial that would explain the bare minimum necessary to jump from fixed-function to using shaders. Thanks!

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  • Unity3D Android - Move your character to a specific x position

    - by user3666251
    Im making a new game for android and I wanted to move my character (which is a cube for now) to a specific x location (on top of a flying floor/ground thingy) but I've been having some troubles with it.I've been using this script : var jumpSpeed: float = 3.5; var distToGround: float; function Start(){ // get the distance to ground distToGround = collider.bounds.extents.y; } function IsGrounded(): boolean { return Physics.Raycast(transform.position, -Vector3.up, distToGround + 0.1); } function Update () { // Move the object to the right relative to the camera 1 unit/second. transform.Translate(Vector3.forward * Time.deltaTime); if (Input.anyKeyDown && IsGrounded()){ rigidbody.velocity.x = jumpSpeed; } } And this is the result (which is not what I want) : https://www.youtube.com/watch?v=Fj8B6eI4dbE&feature=youtu.be Anyone has any idea how to do this ? Im new in unity and scripting.Im using java btw. Ty.

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  • String Conversion to Char for Java Game

    - by Jen
    Is there someone who could help me achieve the following points on this problems? I can't seem to get it. I tried using toCharArray and Scanner to achieve this, but it doesn't work, nor do I know how to make this things possible for my word game. :( · Get a popular name of person, place, verse, saying or event from the user. This may have a single or multiple words in it. · Create a copy of this string to an array where each letter is replaced with a hyphen (-) and each space is replaced with an underscore (_). Symbols and numbers will remain shown. · The program then asks a letter from the user. If the letter is in the inputted string, then it should be shown on the array at the same position it is shown in the string. Meaning, the letter replaces the hyphen (-) at the correct position of the array. · The program again prompts for a letter from the user and replaces the hyphen (-) of the array if it exists on the inputted string. This will be repeatedly done until such time each hyphen (-) is replaced with the correct letter. · If the user inputs an invalid letter, that is, a letter that does not exist on the inputted string, then the program should inform the user. If this happens 3 times while there is still at least one hyphen on the array, then the program should inform the user that he lost the game and showing him the whole correct string. · If the user completes the game, meaning, all hyphens have been replaced with the correct letters; then the program should congratulate the user for a job well done.

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  • My game seems to be incompatible with recording software. What could be causing this?

    - by Lewis Wakeford
    I've just finished a little Game-Dev project for university and I need to record a video to accompany my submission (just in case they can't get my source to work). Basically my game doesn't work at all when FRAPS or Bandicam attempts to attach to it, I get a black screen and a stream of GL INVALID OPERATION messages from my error reporting code. Dxtory can't seem to hook into it correctly at all, it doesn't display it's FPS counter or anything. My game logic appears to be running correctly from the debug traces, it just seems like all the gl library calls break. I don't know a huge amount about how these programs operate so I don't really know what I could be doing to cause this. I've heard they read from the OpenGL frame buffers so maybe I'm doing something wrong there? I'm letting GLFW and GLEW do all the low level initialization, but I have successfully recorded projects with the same setup and recording software. Essentially, has anyone ever run into something like this before or do you know anything about how these programs work that could give a clue as to the cause of the issue?

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  • two-part dice pool mechanic

    - by bythenumbers
    I'm working on a dice mechanic/resolution system based off of the Ghost/Echo (hereafter shortened to G/E) tabletop RPG. Specifically, since G/E can be a little harsh with dealing out consequences and failure, I was hoping to soften the system and add a little more player control, as well as offer the chance for players to evolve their characters into something unique, right from creation. So, here's the mechanic: Players roll 2d12 against the two statistics for their character (each is a number from 2-11, and may be rolled above or below depending on the nature of the action attempted, rolling your stat exactly always fails). Depending on the success for that roll, they add dice to the pool rolled for a modified G/E style action. The acting player gets two dice anyhow, and I am debating offering a bonus die for each success, or a single bonus die for succeeding on both of the statistic-compared rolls. One the size of the dice pool is set, the entire pool is rolled, and the players are allowed to assign rolled dice to a goal and a danger. Assigned results are judged as follows: 1-4 means the attempted goal fails, or the danger comes true. 5-8 is a partial success at the goal, or partially avoiding the danger. 9-12 means the goal is achieved, or the danger avoided. My concerns are twofold: Firstly, that the two-stage action is too complicated, with two rolls to judge separately before anything can happen. Secondly, that the statistics involved go too far in softening the game. I've run some basic simulations, and the approximate statistics follow: 2 dice (up to) 3 dice (up to) 4 dice failure ~33% ~25% ~20% partial ~33% ~35% ~35% success ~33% ~40% ~45% I'd appreciate any advice that addresses my concerns or offers to refine my simulation (right now the first roll is statistically modeled as sign(1d12-1d12), where 0 is a success).

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  • How do you maintain content size vs. content quality in a mobile application?

    - by PeterK
    I am developing my first Cocos2d iPhone/iPad game that includes quite a few sprites, I would need approximately 80 different. As this is for both normal and HD displays I have 2x of each sprite. I am using TexturePacker to optimize the thing. I would like to ask if there are any rules-of-thumb, tricks, ideas etc. to adjust to in regards to size of content, quality and how you maintain high-quality HD-based graphics due to its size vs. the device memory sizes? Also, is it a good idea to only have one copy of the sprites and scale it using code?

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  • Trying to create a sphere in UDK on which I can stand

    - by Dave
    Trying to build a globe in UDK, but when I do (create a sphere), my player falls straight through it. How do I make a sphere that I can walk on? Every other shape (cube, cone...etc) work just fine. -- Edit: Specifically, I want to build a CSG/Brush sphere, not a mesh sphere. It appears to work just fine if I set the "sphere exptrapolation" to 1 or 2, but if I bump it up to 3 or higher, I fall right through. I literally created 2 spheres next to each other, one set at "2" and one at "3" - I can walk from the top of the "2" sphere and jump onto the "3" sphere, but I fall right through it.

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  • Efficient way of detecting a touched object in a game?

    - by Pin
    Imagine a Sims-like 2D game for a touch based mobile phone where one can interact with virtually any object in the scene. How can I efficiently detect which object is being touched by the player? In my short experience, looping through all the visible objects in the scene and checking if they're touched has so far done the job, but when there may be many many moving objects in the screen that sounds kind of inefficient isn't it? Keeping the visible moving objects list can consume time in itself as one may have to loop through all of them each frame. Other solutions I've thought are: Spatial hashing. Divide the screen as a grid and place the visible objects in the corresponding bucket. Detection of the clicked object is fast but there's additional overhead for placing the objects in the correct bucket each frame. Maintaining a quad-tree. Moving objects have to be rearranged all the time, the previous solution looks better. What is usually done in this case?

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  • c# scripting execution with xna (actions take more than 1 frame)

    - by user658091
    I'm trying to figure out how to implement c# scripting into my game (XNA with C#). I will be using C# as the scripting language. My question is, how to call functions that take more than 1 frame to finish? For example: class UserScript : Script { public override void execute(Game game) { //script must wait for dialog to be closed game.openDialog("This is a dialog"); //script should'nt wait for this int goldToGive = 100; goldToGive += 100; game.addGold(goldToGive); // //script should wait for cinematic to end game.startCinematic("name_of_cinematic"); //doesn't wait game.addGold(100); } } I found that you can do that with yield, but I'm not sure if it's the correct way (It's from 2010, the article mentioned no longer exists). http://stackoverflow.com/questions/3540231/implementing-a-simple-xml-based-scripting-language-for-an-xna-game Is yield the answer? If so, can anyone point me any examples/tutorials/books? I haven't found any regarding my situation. If not, what approach should I take? or am I better off with multi-threading?

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  • Cocos2d: Adding a CCSequence to a CCArray

    - by Axort
    I have a problem with an action performed by a sprite. I have one CCSequence in a CCArray and I have an scheduled method (is called every 5 seconds) that make the sprite run the action. The action is performed correctly only the first time (the first 5 seconds), after that, the action do whatever it wants lol. Here is the code: In .h - @interface PowerUpLayer : CCLayer { PowerUp *powerUp; CCArray *trajectories; } @property (nonatomic, retain) CCArray *trajectories; In .mm - @implementation PowerUpLayer @synthesize trajectories; -(id)init { if((self = [super init])) { [self createTrajectories]; self.isTouchEnabled = YES; [self schedule:@selector(spawn:) interval:5]; } return self; } -(void)createTrajectories { self.trajectories = [CCArray arrayWithCapacity:1]; //Wave trajectory ccBezierConfig firstWave, secondWave; firstWave.controlPoint_1 = CGPointMake([[CCDirector sharedDirector] winSize].width + 30, [[CCDirector sharedDirector] winSize].height / 2);//powerUp.sprite.position.x, powerUp.sprite.position.y); firstWave.controlPoint_2 = CGPointMake([[CCDirector sharedDirector] winSize].width - ([[CCDirector sharedDirector] winSize].width / 4), 0); firstWave.endPosition = CGPointMake([[CCDirector sharedDirector] winSize].width / 2, [[CCDirector sharedDirector] winSize].height / 2); secondWave.controlPoint_1 = CGPointMake([[CCDirector sharedDirector] winSize].width / 2, [[CCDirector sharedDirector] winSize].height / 2); secondWave.controlPoint_2 = CGPointMake([[CCDirector sharedDirector] winSize].width / 4, [[CCDirector sharedDirector] winSize].height); secondWave.endPosition = CGPointMake(-30, [[CCDirector sharedDirector] winSize].height / 2); id bezierWave1 = [CCBezierTo actionWithDuration:1 bezier:firstWave]; id bezierWave2 = [CCBezierTo actionWithDuration:1 bezier:secondWave]; id waveTrajectory = [CCSequence actions:bezierWave1, bezierWave2, [CCCallFuncN actionWithTarget:self selector:@selector(setInvisible:)], nil]; [self.trajectories addObject:waveTrajectory]; //[powerUp.sprite runAction:bezierForward]; // [CCMoveBy actionWithDuration:3 position:CGPointMake(-[[CCDirector sharedDirector] winSize].width - powerUp.sprite.contentSize.width, 0)] //[powerUp.sprite runAction:[CCSequence actions:bezierWave1, bezierWave2, [CCCallFuncN actionWithTarget:self selector:@selector(setInvisible:)], nil]]; } -(void)setInvisible:(id)sender { if(powerUp != nil) { [self removeChild:sender cleanup:YES]; powerUp = nil; } } This is the scheduled method: -(void)spawn:(ccTime)dt { if(powerUp == nil) { powerUp = [[PowerUp alloc] initWithType:0]; powerUp.sprite.position = CGPointMake([[CCDirector sharedDirector] winSize].width + powerUp.sprite.contentSize.width, [[CCDirector sharedDirector] winSize].height / 2); [self addChild:powerUp.sprite z:-1]; [powerUp.sprite runAction:((CCSequence *)[self.trajectories objectAtIndex:0])]; } } I don't know what is happening; I never modify the content of the CCSequence after the first time. Thanks!

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  • Crash due to removal of Elements like CCSprite from NSMutableArray

    - by mayuur
    So, here's how it goes. I am currently working on Cocos2d game, which consists of many Obstacles. One obstacle gets added on the screen at an interval of 10 seconds like this. ObstacleSprite* newObstacle = [ObstacleSprite spriteWithFile:@"Obstacle.png" rect:CGRectMake(0, 0, 20, 20)]; newObstacle.position = ccp(mainPlayer1.position.x,10); [self addChild:newObstacle]; [self.arrayForObstacles addObject:newObstacle]; Now, I insert these obstacles into the arrayForObstacles because I also want to keep checking whether the Obstacles and MainPlayer don't collide. I check it with the help of this function. - (void) checkCollisionWithObstacle { if(mainPlayer1.playerActive) { for(int i = 0; i < [self.arrayForObstacles count]; i++) { ObstacleSprite* newObstacle = [self.arrayForObstacles objectAtIndex:i]; if(newObstacle != nil) { if(CGRectIntersectsRect([mainPlayer1 boundingBox], [newObstacle boundingBox])) { mainPlayer1.livesLeft--; } } } } } THE ISSUE Problem is when I get to certain score, one of the Obstacles gets deleted. Removal of Obstacles works as in First In-First Out (FIFO) mode. So, to delete obstacles, I write the following method : - (void) keepUpdatingScore { //update new score mainPlayer1.score+=10; //remove obstacle when score increases by 5k if(mainPlayer1.score > 5000 && mainPlayer1.score > 0) { mainPlayer1.playerActive = NO; if([self.arrayForObstacles count] > 0) { CCLOG(@"count is %d",[self.arrayForObstacles count]); ObstacleSprite* newObstacle = [self.arrayForObstacles objectAtIndex:0]; [self.arrayForObstacles removeObjectAtIndex:0]; [self removeChild:newObstacle cleanup:YES]; CCLOG(@"count is %d",[self.arrayForObstacles count]); } } else { } } It crashes when score crosses 5000 mark! UPDATE Crash happens when it again goes to the method checkCollisionWithObstacle. This is the THREAD Look. THis is the line Which crashes.

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  • Best way to mask 2D sprites in XNA?

    - by electroflame
    I currently am trying to mask some sprites. Rather than explaining it in words, I've made up some example pictures: The area to mask (in white) Now, the red sprite that needs to be cropped. The final result. Now, I'm aware that in XNA you can do two things to accomplish this: Use the Stencil Buffer. Use a Pixel Shader. I have tried to do a pixel shader, which essentially did this: float4 main(float2 texCoord : TEXCOORD0) : COLOR0 { float4 tex = tex2D(BaseTexture, texCoord); float4 bitMask = tex2D(MaskTexture, texCoord); if (bitMask.a > 0) { return float4(tex.r, tex.g, tex.b, tex.a); } else { return float4(0, 0, 0, 0); } } This seems to crop the images (albeit, not correct once the image starts to move), but my problem is that the images are constantly moving (they aren't static), so this cropping needs to be dynamic. Is there a way I could alter the shader code to take into account it's position? Alternatively, I've read about using the Stencil Buffer, but most of the samples seem to hinge on using a rendertarget, which I really don't want to do. (I'm already using 3 or 4 for the rest of the game, and adding another one on top of it seems overkill) The only tutorial I've found that doesn't use Rendertargets is one from Shawn Hargreaves' blog over here. The issue with that one, though is that it's for XNA 3.1, and doesn't seem to translate well to XNA 4.0. It seems to me that the pixel shader is the way to go, but I'm unsure of how to get the positioning correct. I believe I would have to change my onscreen coordinates (something like 500, 500) to be between 0 and 1 for the shader coordinates. My only problem is trying to work out how to correctly use the transformed coordinates. Thanks in advance for any help!

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  • Wired : "Japanese despise western games" - how much is it true?

    - by user712092
    Wired has article that western games are seen as "bad games". Why is that? If that is true, than what do they see as bad? This article, i think, is biased towards western games: “The other day,” says Q Entertainment’s Mielke, “I was having lunch with a friend and I said, ‘Have you ever played StarCraft?’ And he said, ‘What’s StarCraft?’ Sometimes it’s just really shocking that their gaming vocabulary isn’t as extensive as it could be. I think Japanese game developers need to start playing other people’s games to open their minds, just like a writer might want to read classic literature to be inspired.” Rather than trusting such articles, I rather ask here.

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  • Vector.Unproject - Checking if a model intersects a large sprite

    - by Fibericon
    Let's say I have a sprite, drawn like this: spriteBatch.Draw(levelCannons[i].texture, levelCannons[i].position, null, alpha, levelCannons[i].rotation, Vector2.Zero, scale, SpriteEffects.None, 0); Picture levelCannon as being a laser beam that goes across the entire screen. I need to see if my 3d model intersects with the screen space inhabited by the sprite. I managed to dig up Vector.Unproject, but that seems to only be useful when dealing with a single point in 2d space, rather than an area. What can I do in my case?

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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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  • How can I solve this SAT direct corner intersection edge case?

    - by ssb
    I have a working SAT implementation, but I am running into a problem where direct collisions at a corner do not work for tiled surfaces. That is, it clips on the surface when going in a certain direction because it gets hung up on one of the tiles, and so, for example, if I walk across a floor while holding both down and left, the player will stop when meeting the next shape because the player will be colliding with the right side rather than with the top of the floor tile. This illustration shows what I mean: The top block will translate right first and then up. I have checked here and here which are helpful, but this does not address what I should do in a situation where I don't have a tile-based world. My usage of the term "tile" before isn't really accurate since what I'm doing here is manually placing square obstacles next to each other, not assigning them spots on a grid. What can I do to fix this?

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  • Proper method to update and draw from game loop?

    - by Lost_Soul
    Recently I've took up the challenge for myself to create a basic 2d side scrolling monster truck game for my little brother. Which seems easy enough in theory. After working with XNA it seems strange jumping into Java (which is what I plan to program it in). Inside my game class I created a private class called GameLoop that extends from Runnable, then in the overridden run() method I made a while loop that handles time and such and I implemented a targetFPS for drawing as well. The loop looks like this: @Override public void run() { long fpsTime = 0; gameStart = System.currentTimeMillis(); lastTime = System.currentTimeMillis(); while(game.isGameRunning()) { currentTime = System.currentTimeMillis(); long ellapsedTime = currentTime - lastTime; if(mouseState.leftIsDown) { que.add(new Dot(mouseState.getPosition())); } entities.addAll(que); game.updateGame(ellapsedTime); fpsTime += ellapsedTime; if(fpsTime >= (1000 / targetedFPS)) { game.drawGame(ellapsedTime); } lastTime = currentTime; } The problem I've ran into is adding of entities after a click. I made a class that has another private class that extends MouseListener and MouseMotionListener then on changes I have it set a few booleans to tell me if the mouse is pressed or not which seems to work great but when I add the entity it throws a CME (Concurrent Modification Exception) sometimes. I have all the entities stored in a LinkedList so later I tried adding a que linkedlist where I later add the que to the normal list in the update loop. I think this would work fine if it was just the update method in the gameloop but with the repaint() method (called inside game.drawGame() method) it throws the CME. The only other thing is that I'm currently drawing directly from the overridden paintComponent() method in a custom class that extends JPanel. Maybe there is a better way to go about this? As well as fix my CME? Thanks in advance!!!

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  • When dealing with a static game board, what are some methods to make it more interesting?

    - by Ólafur Waage
    Let's say you have a game board that you look at. It does not move but there is some action going on. For example Chess, Checkers, Solitaire. The game I'm working on is not one of this but it's a good reference. What are some methods you can apply to the game or the design that increases the appeal of the user to the game. Of course you can make it prettier but what are some other methods you can use? For example: Visual cues, game design changes, user interface arrangement, etc.

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  • Avatar creation / dressing feature

    - by milesmeow
    What is the effort required to use a game engine such as Unreal or Unity, etc. and create an avatar customization features...complete with clothes. The user should be able to customize the body features and the clothes need to then fit onto the customized body. What is needed? Can you create one set of 3D models for clothes and somehow programatically have the clothes adapt to the body shape? I.e. The same shirt model will be able to fit on a skinny person vs. someone with a big beer belly. How difficult is this? What are the steps needed to implement this avatar creation/dressing feature. I'm basically talking about something like in Rockband 3.

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  • How to implement the light trails for a tron game?

    - by Link
    Well I was creating a TRON style game, but had an issue with creating the actual light trails for the game. What I'm doing currently is I have an array the same size as my window in pixel size, implemented like this: int* collision[800][600]; Then when the bike goes on a certain pixel, it is marked with a 1 for traveled on. However what is the most efficient way to create a working light trail display? I tried to do something like this: int i, j; for(i=0; i<800; i++) for(j=0; j<600; j++) if(*collision[i][j] == 1) Image::applySurface(i, j, trailSurface, gameScreen); But it isn't working properly? It just fills the whole screen with a sprite instead. Whats a better/faster/working way to do this?

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  • Locomotion-system with irregular IK

    - by htaunay
    Im having some trouble with locomtions (Unity3D asset) IK feet placement. I wouldn't call it "very bad", but it definitely isn't as smooth as the Locomotion System Examples. The strangest behavior (that is probably linked to the problem) are the rendered foot markers that "guess" where the characters next step will be. In the demo, they are smooth and stable. However, in my project, they keep flickering, as if Locomotion changed its "guess" every frame, and sometimes, the automatic defined step is too close to the previous step, or sometimes, too distant, creating a very irregular pattern. The configuration is (apparently)Identical to the human example in the demo, so I guessing the problem is my model and/or animation. Problem is, I can't figure out was it is =S Has anyone experienced the same problem? I uploaded a video of the bug to help interpreting the issue (excuse the HORRIBLE quality, I was in a hurry).

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  • Why do we use the Pythagorean theorem in game physics?

    - by Starkers
    I've recently learned that we use Pythagorean theorem a lot in our physics calculations and I'm afraid I don't really get the point. Here's an example from a book to make sure an object doesn't travel faster than a MAXIMUM_VELOCITY constant in the horizontal plane: MAXIMUM_VELOCITY = <any number>; SQUARED_MAXIMUM_VELOCITY = MAXIMUM_VELOCITY * MAXIMUM_VELOCITY; function animate(){ var squared_horizontal_velocity = (x_velocity * x_velocity) + (z_velocity * z_velocity); if( squared_horizontal_velocity <= SQUARED_MAXIMUM_VELOCITY ){ scalar = squared_horizontal_velocity / SQUARED_MAXIMUM_VELOCITY; x_velocity = x_velocity / scalar; z_velocity = x_velocity / scalar; } } Let's try this with some numbers: An object is attempting to move 5 units in x and 5 units in z. It should only be able to move 5 units horizontally in total! MAXIMUM_VELOCITY = 5; SQUARED_MAXIMUM_VELOCITY = 5 * 5; SQUARED_MAXIMUM_VELOCITY = 25; function animate(){ var x_velocity = 5; var z_velocity = 5; var squared_horizontal_velocity = (x_velocity * x_velocity) + (z_velocity * z_velocity); var squared_horizontal_velocity = 5 * 5 + 5 * 5; var squared_horizontal_velocity = 25 + 25; var squared_horizontal_velocity = 50; // if( squared_horizontal_velocity <= SQUARED_MAXIMUM_VELOCITY ){ if( 50 <= 25 ){ scalar = squared_horizontal_velocity / SQUARED_MAXIMUM_VELOCITY; scalar = 50 / 25; scalar = 2.0; x_velocity = x_velocity / scalar; x_velocity = 5 / 2.0; x_velocity = 2.5; z_velocity = z_velocity / scalar; z_velocity = 5 / 2.0; z_velocity = 2.5; // new_horizontal_velocity = x_velocity + z_velocity // new_horizontal_velocity = 2.5 + 2.5 // new_horizontal_velocity = 5 } } Now this works well, but we can do the same thing without Pythagoras: MAXIMUM_VELOCITY = 5; function animate(){ var x_velocity = 5; var z_velocity = 5; var horizontal_velocity = x_velocity + z_velocity; var horizontal_velocity = 5 + 5; var horizontal_velocity = 10; // if( horizontal_velocity >= MAXIMUM_VELOCITY ){ if( 10 >= 5 ){ scalar = horizontal_velocity / MAXIMUM_VELOCITY; scalar = 10 / 5; scalar = 2.0; x_velocity = x_velocity / scalar; x_velocity = 5 / 2.0; x_velocity = 2.5; z_velocity = z_velocity / scalar; z_velocity = 5 / 2.0; z_velocity = 2.5; // new_horizontal_velocity = x_velocity + z_velocity // new_horizontal_velocity = 2.5 + 2.5 // new_horizontal_velocity = 5 } } Benefits of doing it without Pythagoras: Less lines Within those lines, it's easier to read what's going on ...and it takes less time to compute, as there are less multiplications Seems to me like computers and humans get a better deal without Pythagorean theorem! However, I'm sure I'm wrong as I've seen Pythagoras' theorem in a number of reputable places, so I'd like someone to explain me the benefit of using Pythagorean theorem to a maths newbie. Does this have anything to do with unit vectors? To me a unit vector is when we normalize a vector and turn it into a fraction. We do this by dividing the vector by a larger constant. I'm not sure what constant it is. The total size of the graph? Anyway, because it's a fraction, I take it, a unit vector is basically a graph that can fit inside a 3D grid with the x-axis running from -1 to 1, z-axis running from -1 to 1, and the y-axis running from -1 to 1. That's literally everything I know about unit vectors... not much :P And I fail to see their usefulness. Also, we're not really creating a unit vector in the above examples. Should I be determining the scalar like this: // a mathematical work-around of my own invention. There may be a cleverer way to do this! I've also made up my own terms such as 'divisive_scalar' so don't bother googling var divisive_scalar = (squared_horizontal_velocity / SQUARED_MAXIMUM_VELOCITY); var divisive_scalar = ( 50 / 25 ); var divisive_scalar = 2; var multiplicative_scalar = (divisive_scalar / (2*divisive_scalar)); var multiplicative_scalar = (2 / (2*2)); var multiplicative_scalar = (2 / 4); var multiplicative_scalar = 0.5; x_velocity = x_velocity * multiplicative_scalar x_velocity = 5 * 0.5 x_velocity = 2.5 Again, I can't see why this is better, but it's more "unit-vector-y" because the multiplicative_scalar is a unit_vector? As you can see, I use words such as "unit-vector-y" so I'm really not a maths whiz! Also aware that unit vectors might have nothing to do with Pythagorean theorem so ignore all of this if I'm barking up the wrong tree. I'm a very visual person (3D modeller and concept artist by trade!) and I find diagrams and graphs really, really helpful so as many as humanely possible please!

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