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  • Only draw visible objects to the camera in 2D

    - by Deukalion
    I have Map, each map has an array of Ground, each Ground consists of an array of VertexPositionTexture and a texture name reference so it renders a texture at these points (as a shape through triangulation). Now when I render my map I only want to get a list of all objects that are visible in the camera. (So I won't loop through more than I have to) Structs: public struct Map { public Ground[] Ground { get; set; } } public struct Ground { public int[] Indexes { get; set; } public VertexPositionNormalTexture[] Points { get; set; } public Vector3 TopLeft { get; set; } public Vector3 TopRight { get; set; } public Vector3 BottomLeft { get; set; } public Vector3 BottomRight { get; set; } } public struct RenderBoundaries<T> { public BoundingBox Box; public T Items; } when I load a map: foreach (Ground ground in CurrentMap.Ground) { Boundaries.Add(new RenderBoundaries<Ground>() { Box = BoundingBox.CreateFromPoints(new Vector3[] { ground.TopLeft, ground.TopRight, ground.BottomLeft, ground.BottomRight }), Items = ground }); } TopLeft, TopRight, BottomLeft, BottomRight are simply the locations of each corner that the shape make. A rectangle. When I try to loop through only the objects that are visible I do this in my Draw method: public int Draw(GraphicsDevice device, ICamera camera) { BoundingFrustum frustum = new BoundingFrustum(camera.View * camera.Projection); // Visible count int count = 0; EffectTexture.World = camera.World; EffectTexture.View = camera.View; EffectTexture.Projection = camera.Projection; foreach (EffectPass pass in EffectTexture.CurrentTechnique.Passes) { pass.Apply(); foreach (RenderBoundaries<Ground> render in Boundaries.Where(m => frustum.Contains(m.Box) != ContainmentType.Disjoint)) { // Draw ground count++; } } return count; } When I try adding just one ground, then moving the camera so the ground is out of frame it still returns 1 which means it still gets draw even though it's not within the camera's view. Am I doing something or wrong or can it be because of my Camera? Any ideas why it doesn't work?

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  • Rotate model using quaternion

    - by ChocoMan
    Currently I have this to rotate my 3D model that rotates on it's local axis independent from the world's axis: // Rotate model with Right Thumbstick modelRotation -= pController.ThumbSticks.Right.X * mRotSpeed; // float value What I'm trying to do is rotate the model using quaternion and not by a matrix. I've searched for tutorials, but have found none that explains thoroughly on how to achieve this. Does anyone know how to I can use quaternions to rotate my model or a complete tutorial?

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  • Typical Applications of Linear System Solver in Game Developemnt

    - by craftsman.don
    I am going to write a custom solver for linear system. I would like to survey the typical problems involved the linear system solving in games. So that I can custom optimization on these problems based on the shape of the matrix. currently I am focus on these problems: B-Spline editing (I use a linear solve to resolve the C0, C1, C2 continuity) Constraint in Simulation (especially Position-Constraint, cloth) Both of them are Banded Matrix. I want to hear about some other applications of a linear system in games. Thank you.

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  • Tool for creating Spritesheet? and Tips

    - by Spooks
    I am looking for a tool that I can use to create sprite sheet easily. Right now I am using Illustrator, but I can never get the center of the character in the exact position, so it looks like it is moving around(even though its always in one place), while being loop through the sprite sheet. Is there any better tools that I can be using? Also what kind of tips would you give for working with a sprite sheet? Should I create each part of the character in individual layers (left arm, right arm, body, etc.) or everything at once? any other tips would also be helpful! thank you

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  • How to utilize miniMax algorithm in Checkers game

    - by engineer
    I am sorry...as there are too many articles about it.But I can't simple get this. I am confused in the implementation of AI. I have generated all possible moves of computer's type pieces. Now I can't decide the flow. Whether I need to start a loop for the possible moves of each piece and assign score to it.... or something else is to be done. Kindly tell me the proper flow/algorithm for this. Thanks

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  • In a Tower defense game, how to do buffs/debuffs

    - by Gabe
    The question is at the very bottom. If you understand Buffs/Debuffs in tower defense games then you should skip the bulk of this question and go to the bottom (seperated with the long line) I plan on making an IPhone TD game. The fact that its an iPhone game isn't relevant but I am coding in Objective-c with Cocos2D. I am relatively inexperienced in the field of game design so I'm looking for some advice from someone experienced in this field. In tower defense, there are two things that are relevant to my question: towers/enemies (both have their own classes/children). They each have stats like hp, damage, speed, etc. I want to add buffs/defuffs, for instance: Towers A,B and C each have 15 base damage. Tower D would be a buff tower with no damage, a tower with an AOE(area of effect) aura that gives 10% damage to all towers in range. Tower E might slow enemies in its AOE, a debuff. Stuff like that. The same could go for enemies. Enemy A is a boss that has a slow aura that affects towers and slows their base attack speed or something along those lines. So the question is, what would be the most effective way to implement this? If it was just towers then I would just mess around with the tower classes, but since tower classes and enemy classes are both affected, should I make a buff class? TD games can consume quite a bit of memory with large amounts of creeps and towers, and buffs I feel like would also consume quit a bit... So I'm trying to be as effective as possible.

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  • Finite state machine in C++

    - by Electro
    So, I've read a lot about using FSMs to do game state management, things like what and FSM is, and using a stack or set of states for building one. I've gone through all that. But I'm stuck at writing an actual, well-designed implementation of an FSM for that purpose. Specifically, how does one cleanly resolve the problem of transitioning between states, (how) should a state be able to use data from other states, and so on. Does anyone have any tips on designing and writing a implementation in C++, or better yet, code examples?

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  • Grid-Based 2D Lighting Problems

    - by Lemoncreme
    I am aware this question has been asked before, but unfortunately I am new to the language, so the complicated explanations I've found do not help me in the least. I need a lighting engine for my game, and I've tried some procedural lighting systems. This method works the best: if (light[xx - 1, yy] > light[xx, yy]) light[xx, yy] = light[xx - 1, yy] - lightPass; if (light[xx, yy - 1] > light[xx, yy]) light[xx, yy] = light[xx, yy - 1] - lightPass; if (light[xx + 1, yy] > light[xx, yy]) light[xx, yy] = light[xx + 1, yy] - lightPass; if (light[xx, yy + 1] > light[xx, yy]) light[xx, yy] = light[xx, yy + 1] - lightPass; (Subtracts adjacent values by 'lightPass' variable if they are more bright) (It's in a for() loop) This is all fine and dandy except for a an obvious reason: The system favors whatever comes first in the for() loop This is what the above code looks like applied to my game: If I could get some help on creating a new procedural or otherwise lighting system I would really appreciate it!

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  • Algorithmically generating neon layers on pixel grid

    - by user190929
    In an attempt at a screensaver I am making, I am a fan of neo-like graphics, which, of course, look great against a black background. As I understand it, neon, graphically speaking, is essentially a gradient of a color, brightest in the center, and gets darker proceeding outward. Although, more accurate is similar, but separating it into tubes and glow. The tubes are mostly white, while the glow is where most of the color is seen. Well... the tubes could also be a light variant of the color, you could say. The glow is darker. Anyhow, my question is, how could you generate such things given an initial pattern of pixels that would be the tubes? For example, let's say I want to make a neon 'H'. I, via the libraries, can attain the rectangles of pixels which represent it, but I want to make it look neonized. How could I algorithmically achieve such an effect given a base tube shape and base color? EDIT: ok, I mistated that. Got a bit distracted. My purpose for this was similar to a neon effect, but not. Sorry about that. What I am looking for is something like this: Start with a pattern of pixels: [!][!][!][!][!][!][!][!] [!][!][O][!][!][!][!][!] [!][!][O][O][!][!][!][!] [!][!][!][!][O][!][!][!] [!][!][!][!][!][!][!][!] How to I find the U pixels? [!][E][E][E][!][!][!][!] [!][E][O][E][E][!][!][!] [!][E][O][O][E][E][!][!] [!][E][E][E][O][E][!][!] [!][!][!][E][E][E][!][!] Sorry if that looks bad.

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  • 2D Skeletal Animation Transformations

    - by Brad Zeis
    I have been trying to build a 2D skeletal animation system for a while, and I believe that I'm fairly close to finishing. Currently, I have the following data structures: struct Bone { Bone *parent; int child_count; Bone **children; double x, y; }; struct Vertex { double x, y; int bone_count; Bone **bones; double *weights; }; struct Mesh { int vertex_count; Vertex **vertices; Vertex **tex_coords; } Bone->x and Bone->y are the coordinates of the end point of the Bone. The starting point is given by (bone->parent->x, bone->parent->y) or (0, 0). Each entity in the game has a Mesh, and Mesh->vertices is used as the bounding area for the entity. Mesh->tex_coords are texture coordinates. In the entity's update function, the position of the Bone is used to change the coordinates of the Vertices that are bound to it. Currently what I have is: void Mesh_update(Mesh *mesh) { int i, j; double sx, sy; for (i = 0; i < vertex_count; i++) { if (mesh->vertices[i]->bone_count == 0) { continue; } sx, sy = 0; for (j = 0; j < mesh->vertices[i]->bone_count; j++) { sx += (/* ??? */) * mesh->vertices[i]->weights[j]; sy += (/* ??? */) * mesh->vertices[i]->weights[j]; } mesh->vertices[i]->x = sx; mesh->vertices[i]->y = sy; } } I think I have everything I need, I just don't know how to apply the transformations to the final mesh coordinates. What tranformations do I need here? Or is my approach just completely wrong?

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  • How to implement a simple bullet trajectory

    - by AirieFenix
    I searched and searched and although it's a fair simple question, I don't find the proper answer but general ideas (which I already have). I have a top-down game and I want to implement a gun which shoots bullets that follow a simple path (no physics nor change of trajectory, just go from A to B thing). a: vector of the position of the gun/player. b: vector of the mouse position (cross-hair). w: the vector of the bullet's trajectory. So, w=b-a. And the position of the bullet = [x=x0+speed*time*normalized w.x , y=y0+speed*time * normalized w.y]. I have the constructor: public Shot(int shipX, int shipY, int mouseX, int mouseY) { //I get mouse with Gdx.input.getX()/getY() ... this.shotTime = TimeUtils.millis(); this.posX = shipX; this.posY = shipY; //I used aVector = aVector.nor() here before but for some reason didn't work float tmp = (float) (Math.pow(mouseX-shipX, 2) + Math.pow(mouseY-shipY, 2)); tmp = (float) Math.sqrt(Math.abs(tmp)); this.vecX = (mouseX-shipX)/tmp; this.vecY = (mouseY-shipY)/tmp; } And here I update the position and draw the shot: public void drawShot(SpriteBatch batch) { this.lifeTime = TimeUtils.millis() - this.shotTime; //position = positionBefore + v*t this.posX = this.posX + this.vecX*this.lifeTime*speed*Gdx.graphics.getDeltaTime(); this.posY = this.posY + this.vecY*this.lifeTime*speed*Gdx.graphics.getDeltaTime(); ... } Now, the behavior of the bullet seems very awkward, not going exactly where my mouse is (it's like the mouse is 30px off) and with a random speed. I know I probably need to open the old algebra book from college but I'd like somebody says if I'm in the right direction (or points me to it); if it's a calculation problem, a code problem or both. Also, is it possible that Gdx.input.getX() gives me non-precise position? Because when I draw the cross-hair it also draws off the cursor position. Sorry for the long post and sorry if it's a very basic question. Thanks!

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  • Rain effect looks like snowfall effect?

    - by Nikhil Lamba
    i am making a game in that game i want rain effect i am little bit far from this right now i am doing like below particleSystem.addParticleInitializer(new ColorInitializer(1, 1, 1)); particleSystem.addParticleInitializer(new AlphaInitializer(0)); particleSystem.setBlendFunction(GL10.GL_SRC_ALPHA, GL10.GL_ONE); particleSystem.addParticleInitializer(new VelocityInitializer(2, 2, 20, 10)); particleSystem.addParticleInitializer(new RotationInitializer(0.0f, 30.0f)); particleSystem.addParticleModifier(new ScaleModifier(1.0f, 2.0f, 0, 150)); particleSystem.addParticleModifier(new ColorModifier(1, 1, 1, 1f, 1, 1, 1, 3)); particleSystem.addParticleModifier(new ColorModifier(1, 1, 1f, 1, 1, 1, 1, 6)); particleSystem.addParticleModifier(new AlphaModifier(0, 1, 0, 3)); particleSystem.addParticleModifier(new AlphaModifier(1, 0, 1, 125)); particleSystem.addParticleModifier(new ExpireModifier(50, 50)); scene.attachChild(particleSystem); But its looks like snowfall effect what changes i can do for make it rain effect please correct me EDIT : here is link for snapshot http://i.imgur.com/bRIMP.png

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  • Is it possible to extract textures or sprites from compiled game files?

    - by Brian Reindel
    For instance, every map in Portal has what appear to be sprites over a texture indicating the obstacles you'll face (see screenshot). Are these resources compiled into the source as byte code, or is it possible to extract them from installation files? Obviously I understand copyright implications, and I am only interested in using it for a recreational project. Instead of recreating them, I wonder if they can be extracted.

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  • Vector Graphics in DirectX

    - by Doug
    I'm curious as to people's thoughts on the best way to use vector graphics in a directX game instead of rasterized textures(think Super Meat Boy). I want to remain resolution independent and don't want to downscale/upscale rasterized graphics. Also the idea would be for all assets to be vector graphics(again think Super Meat Boy). I've looked at Valve's paper "Improved Alpha-Tested Magnification for Vector Textures and Special Effects" and also looked at using shaders http://http.developer.nvidia.com/GPUGems3/gpugems3_ch25.html. Wondering if anyone has done something similar or an alternate approach. Cheers

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  • Physics like asteroides

    - by user2933016
    I try to make a ship that has the physic properties like asteroides. I have this for now(All in Java): Ship.class public class Ship { public static final float sMaxHealth = 0.1F; public static final float sMaxMoveVelocity = 5.0F; public static final float sMaxAngleVelocity = 20.0F; public static final float sRadius = 1.0F; public static final float sMoveDeceleration = 10.0F; public static final float sMoveAcceleration = 2.0F; public static final float sAngleDeceleration = 15.0F; public static final float sAngleAcceleration = 20.0F; private float mHealth; private float mXVelocity; private float mYVelocity; private float mAngleVelocity; private float mX; private float mY; private float mAngle; } (I let the getter and setter away for now) Controller code // Player input if(Gdx.input.isKeyPressed(Keys.UP)) { mPlayer.setXVelocity(mPlayer.getXVelocity() + (float) Math.cos(mPlayer.getAngle()) * Ship.sMoveAcceleration); mPlayer.setYVelocity(mPlayer.getYVelocity() + (float) Math.sin(mPlayer.getAngle()) * Ship.sMoveAcceleration); } if(Gdx.input.isKeyPressed(Keys.LEFT)) { mPlayer.setAngleVelocity(mPlayer.getAngleVelocity() + Ship.sAngleAcceleration * pDeltaTime); } if(Gdx.input.isKeyPressed(Keys.RIGHT)) { mPlayer.setAngleVelocity(mPlayer.getAngleVelocity() - Ship.sAngleAcceleration * pDeltaTime); } // X velocity if(mPlayer.getXVelocity() < 0) { if(-mPlayer.getXVelocity() > Ship.sMaxMoveVelocity) { mPlayer.setXVelocity(-Ship.sMaxMoveVelocity); } mPlayer.setXVelocity(mPlayer.getXVelocity() + Ship.sMoveDeceleration * pDeltaTime); if(mPlayer.getXVelocity() > 0) { mPlayer.setXVelocity(0); } } else if(mPlayer.getXVelocity() > 0) { if(mPlayer.getXVelocity() > Ship.sMaxMoveVelocity) { mPlayer.setXVelocity(Ship.sMaxMoveVelocity); } mPlayer.setXVelocity(mPlayer.getXVelocity() - Ship.sMoveDeceleration * pDeltaTime); if(mPlayer.getXVelocity() < 0) { mPlayer.setXVelocity(0); } } // Y velocity if(mPlayer.getYVelocity() < 0) { if(-mPlayer.getYVelocity() > Ship.sMaxMoveVelocity) { mPlayer.setYVelocity(-Ship.sMaxMoveVelocity); } mPlayer.setYVelocity(mPlayer.getYVelocity() + Ship.sMoveDeceleration * pDeltaTime); if(mPlayer.getYVelocity() > 0) { mPlayer.setYVelocity(0); } } else if(mPlayer.getYVelocity() > 0) { if(mPlayer.getYVelocity() > Ship.sMaxMoveVelocity) { mPlayer.setYVelocity(Ship.sMaxMoveVelocity); } mPlayer.setYVelocity(mPlayer.getYVelocity() - Ship.sMoveDeceleration * pDeltaTime); if(mPlayer.getYVelocity() < 0) { mPlayer.setYVelocity(0); } } // Angle velocity if(mPlayer.getAngleVelocity() < 0) { if(-mPlayer.getAngleVelocity() > Ship.sMaxAngleVelocity) { mPlayer.setAngleVelocity(-Ship.sMaxAngleVelocity); } mPlayer.setAngleVelocity(mPlayer.getAngleVelocity() + Ship.sAngleDeceleration * pDeltaTime); if(mPlayer.getAngleVelocity() > 0) { mPlayer.setAngleVelocity(0); } } else if(mPlayer.getAngleVelocity() > 0) { if(mPlayer.getAngleVelocity() > Ship.sMaxAngleVelocity) { mPlayer.setAngleVelocity(Ship.sMaxAngleVelocity); } mPlayer.setAngleVelocity(mPlayer.getAngleVelocity() - Ship.sAngleDeceleration * pDeltaTime); if(mPlayer.getAngleVelocity() < 0) { mPlayer.setAngleVelocity(0); } } mPlayer.setX(mPlayer.getX() + mPlayer.getXVelocity() * pDeltaTime); mPlayer.setY(mPlayer.getY() + mPlayer.getYVelocity() * pDeltaTime); mPlayer.setAngle(mPlayer.getAngle() + mPlayer.getAngleVelocity() * pDeltaTime); Why the ship does not behave like in asteroides ? What do I wrong?

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  • How should I invoke a physics engine?

    - by ymfoi
    I'm new to writing games. I'm planning to write a 2D battle game which may require an physics engine. Suppose I've written one, but how can I combine it with the main routine of my game? Should I attach it directly to the graphics render routine or put it in an individual thread? I've spent much time looking for some common approach, but found nothing. So can you reveal some basics idea for me, a newbie? Thanks! P.S. There're many other problems I have to deal with if I choose to start a separate thread for the physics engine, for example, the lock problem, while from my intuition, I guess I'd better separate the render and the physics engine.

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  • How to I get a rotated sprite to move left or right?

    - by rphello101
    Using Java/Slick 2D, I'm using the mouse to rotate a sprite on the screen and the directional keys (in this case, WASD) to move the spite. Forwards and backwards is easy, just position += cos(ang)*speed or position -= cos(ang)*speed. But how do I get the sprite to move left or right? I'm thinking it has something to do with adding 90 degrees to the angle or something. Any ideas? Rotation code: int mX = Mouse.getX(); int mY = HEIGHT - Mouse.getY(); int pX = sprite.x+sprite.image.getWidth()/2; int pY = sprite.y+sprite.image.getHeight()/2; double mAng; if(mX!=pX){ mAng = Math.toDegrees(Math.atan2(mY - pY, mX - pX)); if(mAng==0 && mX<=pX) mAng=180; } else{ if(mY>pY) mAng=90; else mAng=270; } sprite.angle = mAng; sprite.image.setRotation((float) mAng); And the movement code (delta is change in time): Input input = gc.getInput(); Vector2f direction = new Vector2f(); Vector2f velocity = new Vector2f(); direction.x = (float) Math.cos(Math.toRadians(sprite.angle)); direction.y = (float) Math.sin(Math.toRadians(sprite.angle)); if(direction.length()>0) direction = direction.normalise(); //On a separate note, what does this line of code do? velocity.x = (float) (direction.x * sprite.moveSpeed); velocity.y = (float) (direction.y * sprite.moveSpeed); if(input.isKeyDown(sprite.up)){ sprite.x += velocity.x*delta; sprite.y += velocity.y*delta; }if (input.isKeyDown(sprite.down)){ sprite.x -= velocity.x*delta; sprite.y -= velocity.y*delta; }if (input.isKeyDown(sprite.left)){ //??? }if (input.isKeyDown(sprite.right)){ //??? }

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  • Fastest way to group units that can see each other?

    - by mac
    In the 2D game I'm working with, the game engine is able to give me, for each unit, the list of other units that are in its view range. I would like to know if there is an established algorithm to sort the units in groups, where each group would be defined by all those units which are "connected" to each other (even through others). An example might help understand the question better (E=enemy, O=own unit). First the data that I would get from the game engine: E1 can see E2, E3, O5 E2 can see E1 E3 can see E1 E4 can see O5 E5 can see O2 E6 can see E7, O9, O1 E7 can see E6 O1 can see E6 O2 can see O5, E5 O5 can see E1, E4, O2 O9 can see E6 Then I should compute the groups as follow: G1 = E1, E2, E3, E4, E5, O2, O5 G2 = O1, O9, E6, E7 It can be safely assumed that there is a transitive property for the field of view: [if A sees B, then B sees A]. Just to clarify: I already wrote a naïve implementation that loops on each row of the game engine info, but from the look of it, it seems a problem general enough for it to have been studied in depth and have various established algorithms (maybe passing through some tree-like structure?). My problem is that I couldn't find a way to describe my problem that returned useful google hits. Thank you in advance for your help!

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  • Making entire scene fade to grayscale

    - by Fibericon
    When the player loses all of their lives, I want the entire game screen to go grayscale, but not stop updating immediately. I'd also prefer it fade to grayscale instead of suddenly lose all color. Everything I've found so far is either about taking a screenshot and making it grayscale, or making a specific texture grayscale. Is there a way to change the entire playing field and all objects within to grayscale without iterating through everything?

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  • Why doesn't my GameMaker step event work?

    - by exceltior
    So I want to make some kind of floor that which the player when walks in gets his movement reduced but im having thousand of different issues implementing this since it doesnt appear to do anything ... So i have tried different way: 1 - I have tried Step Event which had the following script: if keyboard_check(ord('A')) { player.x = -5; } if keyboard_check(ord('D')) { player.x = -5; } if keyboard_check(ord('W')) { player.x = -5; } if keyboard_check(ord('S')) { player.x = -5; } 2 - I have tried a Collision Event with the same code 3- I have tried a Step event with collision detection on a script None of these options seem to work at all ... Can you help me?

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  • Slick2D: Animation not being parsed from spritesheet correctly

    - by user2066880
    I have a 960x960 spritesheet with each tile being 192x192. I initialized my spritesheet and animation like so: spritesheet = new SpriteSheet("resources/spritesheets/player.png", 192, 192); walkingLeft = new Animation(spritesheet, 3, 0, 0, 1, true, 20, true); When I attempt to render the animation, I get a java.lang.ArrayIndexOutOfBoundsException: -1 error. This error doesn't occur when I'm creating an animation from images in the same row. Therefore, I'm assuming that the error is being caused because of the way Slick is handling horizontal scanning (going to the next row after reaching the end).

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  • Collision filtering techniques

    - by Griffin
    I was wondering what efficient techniques are out there for mapping collision filtering between various bodies, sub-bodies, and so forth. I'm familiar with the simple idea of having different layers of 2D bodies, but this is not sufficient for more complex mapping: (Think of having sub-bodies of a body, such as limbs, collide with each other by placing them on the same layer, and then wanting to only have the legs collide with the ground while the arms would not) This can be solved with a multidimensional layer setup, but I would probably end up just creating more and more layers to the point where the simplicity and efficiency of layer filtering would be gone. Are there any more complex ways to solve even more complex situations than this?

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  • DirectX10 How to use Constant Buffers

    - by schnozzinkobenstein
    I'm trying to access some variables in my shader, but I think I'm doing this wrong. Say I have a constant buffer that looks like this: cbuffer perFrame { float foo; float bar; }; I got an ID3D10EffectConstantBuffer reference to it, and I can get a specific index by calling GetMemberByIndex, but how can I figure out how many members perFrame has so that I can get each member without going out of bounds?

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  • Setting up collision using a tilemap and cocos2d

    - by James
    I'm building my first platformer using cocos2d and a tilemap. I'm having trouble coming up with a decent way of determining if the character is colliding with an object. More specifically, in which direction is the character colliding with an object. Following the tutorial here, I have made a separate "meta" layer of collidable tiles. The problem is that unless the character is in the tile, you can't detect the collision. Also, there's no way of telling WHERE the collision is occurring. The best solution would be one that could tell me if a character is up against a wall, or walking on top of a platform. However, I can't seem to figure out a good technique for this.

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  • Algorithm to find average position

    - by Simran kaur
    In the given diagram, I have the extreme left and right points, that is -2 and 4 in this case. So, obviously, I can calculate the width which is 6 in this case. What we know: The number of partitions:3 in this case The partition number at at any point i.e which one is 1st,second or third partition (numbered starting from left) What I want: The position of the purple line drawn which is positio of average of a particular partition So, basically I just want a generalized formula to calculate position of the average at any point.

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