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• AS3 Calculating Delta Time In Seconds

  - by user1133079

  Here is how I've been trying to implement delta time based on different internet resources. var startTime:Number = getTimer(); game.Update(deltaTime); deltaTime = Number(getTimer() - startTime) * 0.001; My issue with this is it doesn't seem to be giving me accurate timing. The main update shows the frame time at 0.001 and when reinitializing the level it goes to 0.002. I'm using dt else where for a timer and later on time based physics so I would like it to work as expected. I must be missing something silly.

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• How do I manipulate the Url of my Silverlight testpage.aspx?

  - by Daniel

  I am making an XNA game using Silverlight over the web. My testpage.aspx is linked to from a previous page where the client selects certain elements. The testpage.aspx URL changes depending on what I have sent to it. Now in my mainpage.cs file I would like to call certain functions depending on what was passed, but I am unsure how to manipulate or even access the URL. Is there a specific class in the Silverlight library I can use? Thank you for your time.

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• How to get scripted programs governing game entities run in parallel with a game loop?

  - by Jim

  I recently discovered Crobot which is (briefly) a game where each player codes a virtual robot in a pseudo-C language. Each robot is then put in an arena where it fights against other robots. A robots' source code has this shape : /* Beginning file robot.r */ main() { while (1) { /* Do whatever you want */ ... move(); ... fire(); } } /* End file robot.r */ You can see that : The code is totally independent from any library/include Some predefined functions are available (move, fire, etc…) The program has its own game loop, and consequently is not called every frame My question is: How to achieve a similar result using scripted languages in collaboration with a C/C++ main program ? I found a possible approach using Python, multi-threading and shared memory, although I am not sure yet that it is possible this way. TCP/IP seems a bit too complicated for this kind of application.

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• Problem animating in Unity/Orthello 2D. Can't move gameObject

  - by Nelson Gregório

  I have a enemy npc that moves left and right in a corridor. It's animated with 2 sprites using Orthello 2D Framework. If I untick the animation's play on start and looping, the npc moves correctly. If I turn it on, the npc tries to move but is pulled back to his starting position again and again because of the animation loop. If I turn looping off during runtime, the npc moves correctly again. What did I do wrong? Here's the npc code if needed. using UnityEngine; using System.Collections; public class Enemies : MonoBehaviour { private Vector2 movement; public float moveSpeed = 200; public bool started = true; public bool blockedRight = false; public bool blockedLeft = false; public GameObject BorderL; public GameObject BorderR; void Update () { if (gameObject.transform.position.x < BorderL.transform.position.x) { started = false; blockedRight = false; blockedLeft = true; } if (gameObject.transform.position.x > BorderR.transform.position.x) { started = false; blockedLeft = false; blockedRight = true; } if(started) { movement = new Vector2(1, 0f); movement *= Time.deltaTime*moveSpeed; gameObject.transform.Translate(movement.x,movement.y, 0f); } if(!blockedRight && !started && blockedLeft) { movement = new Vector2(1, 0f); movement *= Time.deltaTime*moveSpeed; gameObject.transform.Translate(movement.x,movement.y, 0f); } if(!blockedLeft && !started && blockedRight) { movement = new Vector2(-1, 0f); movement *= Time.deltaTime*moveSpeed; gameObject.transform.Translate(movement.x,movement.y, 0f); } } }

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• Complete Math Library for use in OpenGL ES 2.0 Game?

  - by Bunkai.Satori

  Are you aware of a complete (or almost complete) cross platform math library for use in OpenGL ES 2.0 games? The library should contain: Matrix2x2, Matrix 3x3, Matrix4x4 classes Quaternions Vector2, Vector3, Vector4 Classes Euler Angle Class Operations amongh the above mentioned classes, conversions, etc.. Standardly used math operations in 3D graphics (Dot Product, Cross Product, SLERP, etc...) Is there such Math API available either standalone or as a part of any package? Programming Language: Visual C++ but planned to be ported to OS X and Android OS.

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• Create a thread in xna Update method to find path?

  - by Dan

  I am trying to create a separate thread for my enemy's A* pathfinder which will give me a list of points to get to the player. I have placed the thread in the update method of my enemy. However this seems to cause jittering in the game every-time the thread is called. I have tried calling just the method and this works fine. Is there any way I can sort this out so that I can have the pathfinder on its own thread? Do I need to remove the thread start from the update and start it in the constructor? Is there any way this can work. Here is the code at the moment: bool running = false; bool threadstarted; System.Threading.Thread thread; public void update() { if (running == false && threadstarted == false) { thread = new System.Threading.Thread(PathThread); //thread.Priority = System.Threading.ThreadPriority.Lowest; thread.IsBackground = true; thread.Start(startandendobj); //PathThread(startandendobj); threadstarted = true; } } public void PathThread(object Startandend) { object[] Startandendarray = (object[])Startandend; Point startpoint = (Point)Startandendarray[0]; Point endpoint = (Point)Startandendarray[1]; bool runnable = true; // Path find from 255, 255 to 0,0 on the map foreach(Tile tile in Map) { if(tile.Color == Color.Red) { if (tile.Position.Contains(endpoint)) { runnable = false; } } } if(runnable == true) { running = true; Pathfinder p = new Pathfinder(Map); pathway = p.FindPath(startpoint, endpoint); running = false; threadstarted = false; } }

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• Breakout ball collision detection, bouncing against the walls [solved]

  - by Sri Harsha Chilakapati

  I'm currently trying to program a breakout game to distribute it as an example game for my own game engine. http://game-engine-for-java.googlecode.com/ But the problem here is that I can't get the bouncing condition working properly. Here's what I'm using. public void collision(GObject other){ if (other instanceof Bat || other instanceof Block){ bounce(); } else if (other instanceof Stone){ other.destroy(); bounce(); } //Breakout.HIT.play(); } And here's by bounce() method public void bounce(){ boolean left = false; boolean right = false; boolean up = false; boolean down = false; if (dx < 0) { left = true; } else if (dx > 0) { right = true; } if (dy < 0) { up = true; } else if (dy > 0) { down = true; } if (left && up) { dx = -dx; } if (left && down) { dy = -dy; } if (right && up) { dx = -dx; } if (right && down) { dy = -dy; } } The ball bounces the bat and blocks but when the block is on top of the ball, it won't bounce and moves upwards out of the game. What I'm missing? Is there anything to implement? Please help me.. Thanks EDIT: Have changed the bounce method. public void bounce(GObject other){ //System.out.println("y : " + getY() + " other.y + other.height - 2 : " + (other.getY() + other.getHeight() - 2)); if (getX()+getWidth()>other.getX()+2){ setHorizontalDirection(Direction.DIRECTION_RIGHT); } else if (getX()<(other.getX()+other.getWidth()-2)){ setHorizontalDirection(Direction.DIRECTION_LEFT); } if (getY()+getHeight()>other.getY()+2){ setVerticalDirection(Direction.DIRECTION_UP); } else if (getY()<(other.getY()+other.getHeight()-2)){ setVerticalDirection(Direction.DIRECTION_DOWN); } } EDIT: Solved now. See the changed method in my answer.

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• How to capture the screen in DirectX 9 to a raw bitmap in memory without using D3DXSaveSurfaceToFile

  - by cloudraven

  I know that in OpenGL I can do something like this glReadBuffer( GL_FRONT ); glReadPixels( 0, 0, _width, _height, GL_RGB, GL_UNSIGNED_BYTE, _buffer ); And its pretty fast, I get the raw bitmap in _buffer. When I try to do this in DirectX. Assuming that I have a D3DDevice object I can do something like this if (SUCCEEDED(D3DDevice->GetBackBuffer(0, 0, D3DBACKBUFFER_TYPE_MONO, &pBackbuffer))) { HResult hr = D3DXSaveSurfaceToFileA(filename, D3DXIFF_BMP, pBackbuffer, NULL, NULL); But D3DXSaveSurfaceToFile is pretty slow, and I don't need to write the capture to disk anyway, so I was wondering if there was a faster way to do this

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• "Walking" along a rotating surface in LimeJS

  - by Dave Lancea

  I'm trying to have a character walk along a plank (a long, thin rectangle) that works like a seesaw, being rotated around a central point by box2d physics (falling objects). I want the left and right arrow keys to move the player up and down the plank, regardless of it's slope, and I don't want to use real physics for the player movement. My idea for achieving this was to compute the coordinate based on the rotation of the plank and the current location "up" or "down" the board. My math is derived from here: http://math.stackexchange.com/questions/143932/calculate-point-given-x-y-angle-and-distance Here's the code I have so far: movement = 0; if(keys[37]){ // Left movement = -3; } if(keys[39]){ // Right movement = 3; } // this.plank is a LimeJS sprite. // getRotation() Should return an angle in degrees var rotation = this.plank.getRotation(); // this.current_plank_location is initialized as 0 this.current_plank_location += movement; var x_difference = this.current_plank_location * Math.cos(rotation); var y_difference = this.current_plank_location * Math.sin(rotation); this.setPosition(seesaw.PLANK_CENTER_X + x_difference, seesaw.PLANK_CENTER_Y + y_difference); This code causes the player to swing around in a circle when they are out of the center of the plank given a slight change in rotation of the plank. Any ideas on how I can get the player position to follow the board position?

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• Attaching two objects and changing their world matrices accordingly

  - by A-Type

  I'm having a hard time wrapping my head around the transformations required to bind two objects together in either a two-way or one-way relationship. I will need to implement both types. For the first case, I want to be able to 'couple' two ships together in space. The ships have different mass, of course. Forces applied to either ship will use combined mass and moment of inertia to calculate and move both ships. The trick is, being sure that the point at which they are coupled remains the same, and they don't move at all relative to each other. The second case is similar: I want a ship to be able to enter the atmosphere of a planet and move relative to the planet. The planet will be orbiting the sun, which is fixed at 0,0,0. Essentially, when the ship is sitting still outside of the atmosphere, the planet will move past it on its course-- but when the ship is sitting still inside the atmosphere, it moves and rotates with the planet, so that it is always relative to the horizon. Essentially, the vertices which make up the ship are now transformed just like the ones that make up the planet, except that the ship can move itself around relative to the planet. I get the feeling I can implement both of these with the same code. Essentially, I am thinking of giving each object (which I call Fixtures) a list of "slave" Fixtures onto which that Fixture's world matrix is imposed. So, this would be the planet imposing its world on any contained ships. In the case of coupling, I would simply make each ship a slave of the other, somehow. Obviously I can't just multiply the ship's world matrix by the planet's, or each ship by the others. What I'd like some help with is what calculations to make in order to get a nice, seamless relative world to the other object. I was thinking maybe I could just multiply the world of the slave by the inverse of the master, but then when you couple two ships you would lose all that world data. So, perhaps I need an intermediate "world" which is the absolute world, but use a secondary "final world" to actually transform the objects?

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• In MMO game, how to handle user characters, who are offline?

  - by Deele

  In my medieval MMO game, players have their own character, that represents themselves inside game. Like a King. Players could have cities and armies, but King acts as main driving force. Then it comes to player, going offline/vacation/disconnect. How to deal with "offline King", to keep some sort of reality in game, without ruining everything for player. I have never liked unrealistic stuff in games, like appearing/dissapearing from thin air, like in WoW or other MMO RPG's, when it comes to connect/disconnect, like in Matrix movie, when you are disconnected, your "avatar" inside the system just vaninshes. Ok, if player char stays where it was left, other players who are online could kick his ass like offline player char was frozen? I see only one solution - give player char, while offline, some sort of AI, that controls char. Is there any other solutions? May be, some sort of legend/story, could make users only as inner-voice, leaving King just passively controlled by user, or other stuff... Please, help! I hope you understand my question.

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• How does one specify raster operations in XNA?

  - by Corey Ogburn

  I'm looking for a way to add a sprite using a particular logic operation (like XOR). I can't find anything on Google and I'm not sure where to look in the documentation. I've looked into SpriteBatch.Begin(...) and its Draw method and several options in the GraphicsDevice class, but I'm not recognizing anything capable of this. I'm still pretty new to XNA so I may just not have recognized the terminology to do this.

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• Architecture a for a central renderer rather than self-rendering

  - by The Communist Duck

  For the architectural side of rendering, there's two main ways: having each object render itself, and having a single renderer which renders everything. I'm currently aiming for the second idea, for the following reasons: The list can be sorted to only use shaders once. Else each object would have to bind the shader, because it's not sure if it's active. The objects could be sorted and grouped. Easier to swap APIs. With a few macro lines, it can be easy to swap between a DirectX renderer and an OpenGL renderer (not a reason for my project, but still a good point) Easier to manage rendering code Of course, if anyone has strong recommendations for the first method, I will listen to them. But I was wondering how make this work. First idea The renderer has a list of pointers to the renderable components of each entity, which register themselves on RenderCompoent creation. However, I'm worrying that this may end up as a lot of extra pointer weight. But I can sort the list of pointers every so often. Second idea The entire list of entities is passed to the renderer each render call. The renderer then sorts the list (each call, or maybe once?) and gets what it wants. That's a lot of passing and/or sorting, however. Other ideas ??? PROFIT Anyone got ideas? Thank you.

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• Can't detect collision properly using Rectangle.Intersects()

  - by Daniel Ribeiro

  I'm using a single sprite sheet image as the main texture for my breakout game. The image is this: My code is a little confusing, since I'm creating two elements from the same Texture using a Point, to represent the element size and its position on the sheet, a Vector, to represent its position on the viewport and a Rectangle that represents the element itself. Texture2D sheet; Point paddleSize = new Point(112, 24); Point paddleSheetPosition = new Point(0, 240); Vector2 paddleViewportPosition; Rectangle paddleRectangle; Point ballSize = new Point(24, 24); Point ballSheetPosition = new Point(160, 240); Vector2 ballViewportPosition; Rectangle ballRectangle; Vector2 ballVelocity; My initialization is a little confusing as well, but it works as expected: paddleViewportPosition = new Vector2((GraphicsDevice.Viewport.Bounds.Width - paddleSize.X) / 2, GraphicsDevice.Viewport.Bounds.Height - (paddleSize.Y * 2)); paddleRectangle = new Rectangle(paddleSheetPosition.X, paddleSheetPosition.Y, paddleSize.X, paddleSize.Y); Random random = new Random(); ballViewportPosition = new Vector2(random.Next(GraphicsDevice.Viewport.Bounds.Width), random.Next(GraphicsDevice.Viewport.Bounds.Top, GraphicsDevice.Viewport.Bounds.Height / 2)); ballRectangle = new Rectangle(ballSheetPosition.X, ballSheetPosition.Y, ballSize.X, ballSize.Y); ballVelocity = new Vector2(3f, 3f); The problem is I can't detect the collision properly, using this code: if(ballRectangle.Intersects(paddleRectangle)) { ballVelocity.Y = -ballVelocity.Y; } What am I doing wrong?

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• Can I use remade sprites in my game?

  - by John Skridles

  Can I use remade sprites in my game? I am making a game and I used some sprites, but I didn't copy them. I remade them completely the character looks nothing like the original. I only did this to get the movement of the character right (moving, running, jumping, punching). I've been working on the game for a long time, so I really need to know is it safe and legal to do this. I do intend making a small profit.

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• Make objects slide across the screen in random positions

  - by user3475907

  I want to make an object appear randomly at the right hand side of the screen and then slide across the screen and disapear at the left hand side. I am working with libgdx. I have this bit of code but it makes items fall from the top down. Please help. public EntityManager(int amount, OrthoCamera camera) { player = new Player(new Vector2(15, 230), new Vector2(0, 0), this, camera); for (int i = 0; i < amount; i++) { float x = MathUtils.random(0, MainGame.HEIGHT - TextureManager.ENEMY.getHeight()); float y = MathUtils.random(MainGame.WIDTH, MainGame.WIDTH * 10); float speed = MathUtils.random(2, 10); addEntity(new Enemy(new Vector2(x, y), new Vector2(-0, -speed))); }

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• openGL managing images, VBOs and shaders

  - by roxlu

  I'm working on a game where I use shaders with vertex attributes (so not immediate mode). I'm drawing lots of images and changing the width/height of the quads I use to draw them a lot. To optimize this it's probably a good idea to have one buffer but then one needs to update the complete buffer when one image changes (or only a part of the buffer using glBufferSubData...) I was just wondering what kind of strategies you guys are using?

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• Calculating a child object's Position, Rotation and Scale values?

  - by Sergio Plascencia

  I am making my own game editor, but have encountered the following problem: I have two objects, A and B. A's initial values: Position: (3,3,3), Rotation: (45,10,0), Scale(1,2,2.5) B's initial values: Position: (1,1,1), Rotation: (10,34,18), Scale(1.5,2,1) If I now make B a child of A, I need to re-calculate the B's Position, Rotation and Scale relative to A such that it maintains its current position, rotation and scale in world coordinates. So B's position would now be (-2, -2, -2) since now A is its center and (-2, -2, -2) will keep B in the same position. I think I got the Position and scale figured out, but not rotation. So I opened Unity and ran the same example and I noticed that when making a child object, the child object did not move at all. but had its Position, Rotation and Scale values changed relative to the parent. For example: Unity (Parent Object "A"): Position: (0,0,0) Rotation: (45,10,0) Scale: (1,1,1) Unity (Child Object "B"): Position: (0,0,0) Rotation: (0,0,0) Scale: (1,1,1) When B becomes a child of A, it's rotation values become: X: -44.13605 Y: -14.00195 Z: 9.851074 If I plug the same rotation values into the B object in my editor, the object does not move at all. How did Unity arrive at those rotation values for the child? What are the calculations? If you can put all the equations for the Position, Rotation or Scale then I can double check I am doing it correctly but the Rotation is what I really need.

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• Per-pixel collision detection - why does XNA transform matrix return NaN when adding scaling?

  - by JasperS

  I looked at the TransformCollision sample on MSDN and added the Matrix.CreateTranslation part to a property in my collision detection code but I wanted to add scaling. The code works fine when I leave scaling commented out but when I add it and then do a Matrix.Invert() on the created translation matrix the result is NaN ({NaN,NaN,NaN},{NaN,NaN,NaN},...) Can anyone tell me why this is happening please? Here's the code from the sample: // Build the block's transform Matrix blockTransform = Matrix.CreateTranslation(new Vector3(-blockOrigin, 0.0f)) * // Matrix.CreateScale(block.Scale) * would go here Matrix.CreateRotationZ(blocks[i].Rotation) * Matrix.CreateTranslation(new Vector3(blocks[i].Position, 0.0f)); public static bool IntersectPixels( Matrix transformA, int widthA, int heightA, Color[] dataA, Matrix transformB, int widthB, int heightB, Color[] dataB) { // Calculate a matrix which transforms from A's local space into // world space and then into B's local space Matrix transformAToB = transformA * Matrix.Invert(transformB); // When a point moves in A's local space, it moves in B's local space with a // fixed direction and distance proportional to the movement in A. // This algorithm steps through A one pixel at a time along A's X and Y axes // Calculate the analogous steps in B: Vector2 stepX = Vector2.TransformNormal(Vector2.UnitX, transformAToB); Vector2 stepY = Vector2.TransformNormal(Vector2.UnitY, transformAToB); // Calculate the top left corner of A in B's local space // This variable will be reused to keep track of the start of each row Vector2 yPosInB = Vector2.Transform(Vector2.Zero, transformAToB); // For each row of pixels in A for (int yA = 0; yA < heightA; yA++) { // Start at the beginning of the row Vector2 posInB = yPosInB; // For each pixel in this row for (int xA = 0; xA < widthA; xA++) { // Round to the nearest pixel int xB = (int)Math.Round(posInB.X); int yB = (int)Math.Round(posInB.Y); // If the pixel lies within the bounds of B if (0 <= xB && xB < widthB && 0 <= yB && yB < heightB) { // Get the colors of the overlapping pixels Color colorA = dataA[xA + yA * widthA]; Color colorB = dataB[xB + yB * widthB]; // If both pixels are not completely transparent, if (colorA.A != 0 && colorB.A != 0) { // then an intersection has been found return true; } } // Move to the next pixel in the row posInB += stepX; } // Move to the next row yPosInB += stepY; } // No intersection found return false; }

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• Hydraulics in game

  - by Mungoid

  I'm not completely sure if this would be better in the Physics site or not as this question is more about how hydraulics should work in game as opposed to how they really work (although that is taken into account) - So I apologize if this is in the wrong place. A project we are on, we have a machine with hydraulics that are powered (They don't just look like they move something, they are the only thing moving/turning/lifting something) - However, the hydraulic extends the same speed no matter what it is pushing. So, say there is a 10 ton object attached to one end of the hydraulic and the other end is attached to a plate on the ground. In real life it takes a few seconds to build up pressure depending on how heavy the object is, but in our project the hydraulics don't care about that. It will lift a 100 ton object the same speed as a 10 ton object. We have a way to fake the hydraulic pressurizing by reducing the 'drive amount' (how fast or slow the hydraulic extends) when we sense that it is touching the ground and that does a relatively decent job but we would like to be able to take other things into account like engine speed, ratios, loads, etc. but we aren't too sure what we need to think about. I'm kinda wondering if anyone here has any experience with this and could offer some suggestions on what to take into account?

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• How to avoid game objects accidentally deleting themselves in C++

  - by Tom Dalling

  Let's say my game has a monster that can kamikaze explode on the player. Let's pick a name for this monster at random: a Creeper. So, the Creeper class has a method that looks something like this: void Creeper::kamikaze() { EventSystem::postEvent(ENTITY_DEATH, this); Explosion* e = new Explosion; e->setLocation(this->location()); this->world->addEntity(e); } The events are not queued, they get dispatched immediately. This causes the Creeper object to get deleted somewhere inside the call to postEvent. Something like this: void World::handleEvent(int type, void* context) { if(type == ENTITY_DEATH){ Entity* ent = dynamic_cast<Entity*>(context); removeEntity(ent); delete ent; } } Because the Creeper object gets deleted while the kamikaze method is still running, it will crash when it tries to access this->location(). One solution is to queue the events into a buffer and dispatch them later. Is that the common solution in C++ games? It feels like a bit of a hack, but that might just be because of my experience with other languages with different memory management practices. In C++, is there a better general solution to this problem where an object accidentally deletes itself from inside one of its methods?

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• Lightning whip particle effects

  - by Fibericon

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

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• How are components properly instantiated and used in XNA 4.0?

  - by Christopher Horenstein

  I am creating a simple input component to hold on to actions and key states, and a short history of the last ten or so states. The idea is that everything that is interested in input will ask this component for the latest input, and I am wondering where I should create it. I am also wondering how I should create components that are specific to my game objects - I envision them as variables, but then how do their Update/Draw methods get called? What I'm trying to ask is, what are the best practices for adding components to the proper collections? Right now I've added my input component in the main Game class that XNA creates when everything is first initialized, saying something along the lines of this.Components.Add(new InputComponent(this)), which looks a little odd to me, and I'd still want to hang onto that reference so I can ask it things. An answer to my input component's dilemma is great, but also I'm guessing there is a right way to do this in general in XNA.

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• LOD in modern games

  - by Firas Assaad

  I'm currently working on my master's thesis about LOD and mesh simplification, and I've been reading many academic papers and articles about the subject. However, I can't find enough information about how LOD is being used in modern games. I know many games use some sort of dynamic LOD for terrain, but what about elsewhere? Level of Detail for 3D Graphics for example points out that discrete LOD (where artists prepare several models in advance) is widely used because of the performance overhead of continuous LOD. That book was published in 2002 however, and I'm wondering if things are different now. There has been some research in performing dynamic LOD using the geometry shader (this paper for example, with its implementation in ShaderX6), would that be used in a modern game? To summarize, my question is about the state of LOD in modern video games, what algorithms are used and why? In particular, is view dependent continuous simplification used or does the runtime overhead make using discrete models with proper blending and impostors a more attractive solution? If discrete models are used, is an algorithm used (e.g. vertex clustering) to generate them offline, do artists manually create the models, or perhaps a combination of both methods is used?

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• OpenGL ES 2. How do I Create a Basic Fading Streak Effect?

  - by dugla

  For the iPad app I am writing using OpenGL ES 2 I have a single quad - shaded using GLSL - that is dragged around the screen. Very basic. This works fine. But is rather boring. I want to increase the coolness a bit in the following way: when the user drags the quad it leaves a streak behind that fades over time. Continuous dragging would be a bit like a streaking comet across the night sky. What is the simplest way to implement this? Thanks.

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