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• Implementing a multilanguage AI contest platform

  - by Alejandro Piad

  This is a followup to this question. To sum: I'm implementing an AI contest site, where each user may submit several AI implementations for different games. Think about Google AI Challenge but instead of just having a big event once a year, I would like it more on a league fashion, with all virtual players playing with each other every some close period of time. I want to support as many programming languages as possible. I've seen that contest sites (like codeforces) ask you to submit a source code and interact through stdin and stdout. The first question is: what is the best way of supporting multiple languages? As I see it, I can either ask people to upload some binary/script, and interact either through stdin/*stdout*, or sockets, or the file system; or ask people to submit source code, and wrap it with whatever is necessary for the interaction. I would like to skip the need to compile the code by myself (in the server, I mean), but I am willing to do it if its the "best" choice. I need to comunicate virtual players with each other, or even better, with some intermediary arbiter. The second question is regarding security. If I'm going to be running user code in my server, I want to ensure strict security conditions, like no file system access, no networking, etc. Otherwise it would be a safe heaven for hackers. I will be implementing the engine/arbiter in .NET. I would like to support at least C#, C++, Java and Python for the user's implementations. I'm willing to write interfaces for each of these languages to simplify the user interaction with the system. Thanks in advance.

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• Using Shader causes triangle to disappear

  - by invisal

  The following is my rendering code. Private Sub GameRender() GL.Clear(ClearBufferMask.ColorBufferBit + ClearBufferMask.DepthBufferBit) GL.ClearColor(Color.SkyBlue) GL.UseProgram(theProgram) GL.EnableClientState(ArrayCap.VertexArray) GL.EnableClientState(ArrayCap.ColorArray) GL.BindBuffer(BufferTarget.ArrayBuffer, vertexPositionID) GL.DrawArrays(BeginMode.Triangles, 0, 3) GL.DisableClientState(ArrayCap.ColorArray) GL.DisableClientState(ArrayCap.VertexArray) GlControl1.SwapBuffers() End Sub This is screenshot without GL.UseProgram(theProgram) This is screenshot with GL.UseProgram(theProgram) Here are my shader code that I picked from online tutorial. Vertex Shader #version 330 layout(location = 0) in vec4 position; void main() { gl_Position = position; } Fragment Shader #version 330 out vec4 outputColor; void main() { outputColor = vec4(1.0f, 1.0f, 1.0f, 1.0f); } These are my shader creation code. '' Initialize Shader Dim shaderList(1) As Integer shaderList(0) = CreateShader(ShaderType.VertexShader, strVertexShader) shaderList(1) = CreateShader(ShaderType.FragmentShader, strFragShader) theProgram = CreateProgram(shaderList) GL.DeleteShader(shaderList(0)) GL.DeleteShader(shaderList(1)) Here are my helper functions Private Function CreateShader(ByVal shaderType As ShaderType, ByVal code As String) Dim shader As Integer = GL.CreateShader(shaderType) GL.ShaderSource(shader, code) GL.CompileShader(shader) Dim status As Integer GL.GetShader(shader, ShaderParameter.CompileStatus, status) If status = False Then MsgBox(GL.GetShaderInfoLog(shader)) End If Return shader End Function Private Function CreateProgram(ByVal shaderList() As Integer) As Integer Dim program As Integer = GL.CreateProgram() For i As Integer = 0 To shaderList.Length - 1 GL.AttachShader(program, shaderList(i)) Next GL.LinkProgram(program) Dim status As Integer GL.GetProgram(program, ProgramParameter.LinkStatus, status) If status = False Then MsgBox(GL.GetProgramInfoLog(program)) End If For i As Integer = 0 To shaderList.Length - 1 GL.DetachShader(program, shaderList(i)) Next Return program End Function

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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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• 2D map/plane with nodes overlayed that supports panning, scaling and clicking on nodes

  - by garlicman

  I'm trying my hand at Android development and seem to be running into an invisible ceiling in trying to get what I want accomplished. Basically I'm trying to create an app that renders a 2D surface map that I can (pinch) zoom and pan. I'll have to place nodes on the surface of the map that will scale/zoom and pan in relation to the surface. I started out with a 2D ImageView approach and got as far as pinch zoom, pan and laying nodes as relative ImageViews, but all the methods I tried to get X,Y,W,H for the 2D surface were always off for some reason. Additionally, I was never able to scale the node ImageViews correctly, and as a result never got far enough to try and work out their X,Y scaled offset. So I decided to get back to 3D rendering. Conceptually pan/zoom is camera manipulation, so I don't have to mess with how to scale the 2D map or the nodes. But I need a starting point or sample to get me going that's close to what I'm trying to achieve. A sample on a translucent spinning cube isn't helping as much as I need it to. Any tips? Links, insults and sympathy are all welcome!

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• Collision detection of convex shapes on voxel terrain

  - by Dave

  I have some standard convex shapes (cubes, capsules) on a voxel terrain. It is very easy to detect single vertex collisions. However, it becomes computationally expensive when many vertices are involved. To clarify, currently my algorithm represents a cube as multiple vertices covering every face of the cube, not just the corners. This is because the cubes can be much bigger than the voxels, so multiple sample points (vertices) are required (the distance between sample points must be at least the width of a voxel). This very rapidly becomes intractable. It would be great if there were some standard algorithm(s) for collision detection between convex shapes and arbitrary voxel based terrain (like there is with OBB's and seperating axis theorem etc). Any help much appreciated.

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• Greiner-Hormann clipping problem

  - by Belgin

  I have a set of planar polygons in 3D space defined by their vertices in counterclockwise order. Let's define the 'positive face' as being the face of the 3D polygon such as when observed, the vertices appear in counterclockwise order, and the 'negative face', the face which when observed, the vertices appear in clockwise order. I'm doing perspective projection of the set of polygons onto a projection polygon defined by the points in this order: (0, h, 0), (0, 0, 0), (w, 0, 0), and (w, h, 0), where w and h are strictly positive integers. The positive face of this projection polygon is oriented towards positive Z, and the camera point is somewhere at (0, 0, d), where d is a strictly negative number. In order to 'clip' the projected polygons into the projection polygon, I'm applying the Greiner-Hormann (PDF) clipping algorithm, which requires that the clipper and the to-be-clipped polygons be in the same order (i.e. clockwise or counterclockwise). My question is the following: How can I determine whether the projected face of the 3D polygon is the negative or the positive one? Meaning, how do I find out if I have to work with the vertices in normal or inverted order for the algorithm to work? I noticed that only if the 3D polygon is facing the projection polygon with its negative face, both of them are in the same order (counterclockwise), otherwise, a modification needs to be done. Here is a picture (PNG) that illustrates this. Note that the planes described by the polygon from the set and the projection polygon may not always be parallel.

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• Platform for DS/Gameboy Dev - Managed Memory, Tools, and Unit Testing

  - by ashes999

  I'm interested in dabbling in Nintendo DS, 3DS, or GBA development. I would like to know what my (legal) options for development tools and IDEs are. In particular, I would not consider moving in this direction unless I can find: A programming language that has managed memory (garbage collection) A unit testing tool akin to JUnit, NUnit, etc. for unit tests I would also prefer if other tools exist, like code-coverage, etc. for that platform. But the main thing is managed memory and unit testing. What options are out there?

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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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• 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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• Limit the amount a camera can pitch

  - by ChocoMan

  I'm having problems trying to limit the range my camera can pitch. Currently my camera can pitch around a model without restriction, but having a hard time trying to find the value of the degree/radian the camera is currently at after pitching. Here is what I got so far: // Moves camera with thumbstick Pitch = pController.ThumbSticks.Right.Y * MathHelper.ToRadians(speedAngleMAX); // Pitch Camera around model public void cameraPitch(float pitch) { pitchAngle = ModelLoad.camTarget - ModelLoad.CameraPos; axisPitch = Vector3.Cross(Vector3.Up, pitchAngle); // pitch constrained to model's orientation axisPitch.Normalize(); ModelLoad.CameraPos = Vector3.Transform(ModelLoad.CameraPos - ModelLoad.camTarget, Matrix.CreateFromAxisAngle(axisPitch, pitch)) + ModelLoad.camTarget; } I've tried restraining the Y-camera position of ModelLoad.CameraPos.Y, but doing so gave me some unwanted results.

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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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• convert image to spritesheet of tiles for isometric map?

  - by Paul

  is there a way to convert an isometric image (like the first image) to a spritesheet (like the second image), in order to place each image on the isometric map with the code? The map looks like the first image, but some buildings are bigger than just one tile, so I need several squares (let's say the first image is a building, made of multiple tiles with different colors), and each square is placed with an offset of 64x32. The building is created in Blender and I save the image with the isometric perspective. But I have to split each square from this image in order to have the spritesheet, maybe there is smarter way, or a java software that would make the conversion for me?

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• Mobile 3D engine renders alpha as full-object transparency

  - by Nils Munch

  I am running a iOS project using the isgl3d framework for showing pod files. I have a stylish car with 0.5 alpha windows, that I wish to render on a camera background, seeking some augmented reality goodness. The alpha on the windows looks okay, but when I add the object, I notice that it renders the entire object transparently, where the windows are. Including interior of the car. Like so (in example, keyboard can be seen through the dashboard, seats and so on. should be solid) The car interior is a seperate object with alpha 1.0. I would rather not show a "ghost car" in my project, but I haven't found a way around this. Have anyone encountered the same issue, and eventually reached a solution ?

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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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• Is there an easy and automatic way of converting a Windows XNA project into a Monotouch Monogame project?

  - by Krumelur

  I have just started with XNA development on Windows. But as I'm a fan of iOS I had to try porting my test code over to Monotouch on the Mac. I used these instructions: http://www.facepuncher.com/blogs/10parameters/?p=42 But this is so much (manual) work! And it really doesn't answer open topics like: why would I copy all the XNB files and in addition all the resources, like PNGs? Is there maybe a tool that automatically converts a Windows XNA project into a Monotouch iOS project or at least creates the correct folder structure?

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• How to read BC4 texture in GLSL?

  - by Question

  I'm supposed to receive a texture in BC4 format. In OpenGL, i guess this format is called GL_COMPRESSED_RED_RGTC1. The texture is not really a "texture", more like a data to handle at fragment shader. Usually, to get colors from a texture within a fragment shader, i do : uniform sampler2D TextureUnit; void main() { vec4 TexColor = texture2D(TextureUnit, vec2(gl_TexCoord[0])); (...) the result of which is obviously a v4, for RGBA. But now, i'm supposed to receive a single float from the read. I'm struggling to understand how this is achieved. Should i still use a texture sampler, and expect the value to be in a specific position (for example, within TexColor.r ?), or should i use something else ?

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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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• Any multiplayer webgame engine based on Flex

  - by Hongyu Ouyang

  My team is developing a multiplayer webgame (like a virtual world) in a short time(several months using after-school time), and I wonder if there are any webgame engine based on Flex. When I googled it I got many results related to HTML5, but I doubted if it is suitable for quick development. Do anyone have the experience of developing a webgame using A good engine? Are there any engine recommended? I prefer actionscript and flex to a javascript or HTML5 solution.

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• Inverting matrix then decomposing gives different quaternion than decomposing then inverting the quat

  - by Fraser

  I'm getting different signs when I convert a matrix to quaternion and invert that, versus when I invert a matrix and then get the quaternion from it: Quaternion a = Quaternion.Invert(getRotation(m)); Quaternion b = getRotation(Matrix.Invert(m)); I would expect a and b to be identical (or inverses of each other). However, it looks like q1 = (x, y, -z, -w) while q2 = (-x, -y, w, z). In other words, the Z and W components have been switched for some reason. Note: getRotation() decomposes the transform matrix and returns just the rotation part of it (I've tried normalizing the result; it does nothing). The matrix m is a complete transform matrix and contains a translation (and possibly a scale) as well as a rotation. I'm using D3DXMatrixDecompose to do the actual decomposition.

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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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• Velocity control of the player, why doesn't this work?

  - by Dominic Grenier

  I have the following code inside a while True loop: if abs(playerx) < MAXSPEED: if moveLeft: playerx -= 1 if moveRight: playerx += 1 if abs(playery) < MAXSPEED: if moveDown: playery += 1 if moveUp: playery -= 1 if moveLeft == False and abs(playerx) > 0: playerx += 1 if moveRight == False and abs(playerx) > 0: playerx -= 1 if moveUp == False and abs(playery) > 0: playery += 1 if moveDown == False and abs(playery) > 0: playery -= 1 player.x += playerx player.y += playery if player.left < 0 or player.right > 1000: player.x -= playerx if player.top < 0 or player.bottom > 600: player.y -= playery The intended result is that while an arrow key is pressed, playerx or playery increments by one at every iteration until it reaches MAXSPEED and stays at MAXSPEED. And that when the player stops pressing that arrow key, his speed decreases until it reaches 0. To me, this code explicitly says that... But what actually happens is that playerx or playery keeps incrementing regardless of MAXSPEED and continues moving even after the player stops pressing the arrow key. I keep rereading but I'm completely baffled by this weird behavior. Any insights? Thanks.

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• Texture the quad with different parts of texture

  - by PolGraphic

  I have a 2D quad. Let say it's position is (5,10) and size is (7,11). I want to texture it with one texture, but using three different parts of it. I want to texture the part of quad from x = 5 to x = 7 with part of texture from U = 0 to U = 0.5 (replaying it after achieving 0.5, so I will have 4 same 0.5-lenght fragments). The second one with some other part of texture (also repeating it) and third in the same style. But, how to achieve it? I know that: float2 tc = fmod(input.TexCoord, textureCoordinates.zw - textureCoordinates.xy) + textureCoordinates.xy; //textureCoordinates.xy = fragments' offset Will give me the texture part replaying.

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• Box2D networking

  - by spacevillain

  I am trying to make a simple sync between two box2d rooms, where you can drag boxes using the mouse. So every time player clicks (and holds the mousedown) a box, I try send joint parameters to server, and server sends them to other clients. When mouseup occurs, I send command to delete joint. The problem is that sync breaks too often. Is my way radically wrong, or it just needs some tweaks? http://www.youtube.com/watch?v=eTN2Gwj6_Lc Source code https://github.com/agentcooper/Box2d-networking

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• How are these bullets done?

  - by Mike

  I really want to know how the bullets in Radiangames Inferno are done. The bullets seem like they are just billboard particles but I am curious about how their tails are implemented. They can curve so this means they are not just a billboard. Also, they appear continuous which implies that the tails are not made of a bunch of smaller particles (I think). Can anyone shead some light on this for me?

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• How can I locate empty space next to polygon regions?

  - by Stephen

  Let's say I have the following area in a top-down map: The circle is the player, the black square is an obstacle, and the grey polygons with red borders are walk-able areas that will be used as a navigation mesh for enemies. Obstacles and grey polygons are always convex. The grey regions were defined using an algorithm when the world was generated at runtime. Notice the little white column. I need to figure out where any empty space like this is, if at all, after the algorithm builds the grey regions, so that I can fill the space with another region. Basically what I'm hoping for is an algorithm that can detect empty space next to a polygon.

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