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• Rotate a vector relative to itself

  - by Paul Manta

  I have a plane defined by transform.forward and transform.right, with 0 degrees corresponding to the forward vector and positive 90 degrees to the right vector. How can I create a third vector rotated in this plane. A rotation of 0 degrees would mean the vector is identical to transform.forward, a rotation of 30 degrees would mean it forms a 30 degree angle with the forward vector. In other words, I want to rotate the forward vector relative to itself, in the plane it defines with the right vector.

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• Tetris : Effective rotation

  - by hqt

  I rotate each piece by rotation formula. More detail, because rotation angle is 90 so : xNew = y; yNew = -x; But my method has met two problems : 1) Out of box : each type of pieces is fit in square 4x4. (0,0 at under left) But by this rotation, at some case they will out of this box. For example, there is a point with coordinate (5,6) So, please help me how to fit these coordinate into 4x4 box again, or give me another formula for this. 2) at I case : (4 squares at same row or same column), just has two rotations case. but in method above, they still has 4 pieces. So, how to prevent this. Thanks :)

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• Use a SQL Database for a Desktop Game

  - by sharethis

  Developing a Game Engine I am planning a computer game and its engine. There will be a 3 dimensional world with first person view and it will be single player for now. The programming language is C++ and it uses OpenGL. Data Centered Design Decision My design decision is to use a data centered architecture where there is a global event manager and a global data manager. There are many components like physics, input, sound, renderer, ai, ... Each component can trigger and listen to events. Moreover, each component can read, edit, create and remove data. The question is about the data manager. Whether to Use a Relational Database Should I use a SQL Database, e.g. SQLite or MySQL, to store the game data? This contains virtually all game content like items, characters, inventories, ... Except of meshes and textures which are even more performance related, so I will keep them in memory. Is a SQL database fast enough to use it for realtime reading and writing game informations, like the position of a moving character? I also need to care about cross-platform compatibility. Aside from keeping everything in memory, what alternatives do I have? Advantages Would Be The advantages of using a relational database like MySQL would be the data orientated structure which allows fast computation. I would not need objects for representing entities. I could easily query data of objects near the player needed for rendering. And I don't have to take care about data of objects far away. Moreover there would be no need for savegames since the hole game state is saved in the database. Last but not least, expanding the game to an online game would be relative easy because there already is a place where the hole game state is stored.

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• Embedding Pygame to C++ [closed]

  - by Pendertuga

  If embedding Pygame to C++ to have a game be an executable, is there any extra process I would have to use in order to use Pygame functions when embedding into C++? As opposed to just writing embedding code in C++ for normal Python code? To clear cut the question I want to know if it's the same process without having to call different functions. EDIT: My question is if I have to call different functions in C++ when embedding Python code that uses Pygame modules. I am NOT using pygame2exe nor py2exe. I never even mentioned those. My question is solely about code embedding.

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• How do I draw a texture to a MSTerrain object?

  - by Brad

  I'm using Farseer to make a game in XNA and I can't seem to figure this out. I've decided to use MSTerrain for making my game's terrain because I wanted destructible terrain and MSTerrain seemed like the best bet. Unfortunately, I'm stumped on how to actually show the terrain. When I generate the terrain it's visible in debug view, but MSTerrain does not have a Draw method, so I'm wondering how it is supposed to be drawn to the screen? Is it worth pursuing? I'm starting to think that MSTerrain is more trouble than it's worth, is there another better way to do this with bodies?

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• Random enemy placement on a 2d grid

  - by Robb

  I want to place my items and enemies randomly (or as randomly as possible). At the moment I use XNA's Random class to generate a number between 800 for X and 600 for Y. It feels like enemies spawn more towards the top of the map than in the middle or bottom. I do not seed the generator, maybe that is something to consider. Are there other techniques described that can improve random enemy placement on a 2d grid?

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• XNA: Retrieve texture file name during runtime

  - by townsean

  I'm trying to retrieve the names of the texture files (or their locations) on a mesh. I realize that the texture file name information is not preserved when the model is loaded. I've been doing tons of searching and some experimenting but I've been met with no luck. I've gathered that I need to extended the content pipeline and store the file location in somewhere like ModelMeshPart.Tag. My problem is, even when I'm trying to make my own custom processor, I still can't figure out where the texture file name is. :( Any thoughts? Thanks! UPDATE: Okay, so I found something kind of promising. NodeContent.Identity.SourceFilename, only that returns the location of my .X model. When I go down the node tree he is always null. Then there's the ContentItem.Name property. It seems to have names of my mesh, but not my actual texture file names. :(

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• How to prevent one account from unlocking products on other devices using Apple StoreKit?

  - by reapz

  We are currently wrapping up a free-to-play game on iOS in which you can purchase non-consumable products. We have been discussing this case internally and are not quite sure what the best practices are as this is our first title. For example, if a user downloads our app, and makes some purchases. These can be restored should the app ever be deleted and reinstalled as long as the user uses the same Apple ID. What is to stop him from making a fake Apple account, purchasing items and then posting this account on the web allowing everyone to get the items for free? That is obviously a worst case situation. But a smaller case would be a user unlocking items for his friends. We do not want this to be an always online game but have considered doing a check on startup if there is internet available. If the currently logged in account doesn't own the products do we lock them again? Probably not because people may simply sign into the device with different Game Center logins at which point we don't want to constantly lock and unlock items. At some point we will be adding multiplayer at which point we can definately do a check with the currently logged in account. This is because A, they will be online when attempting multiplayer, and B, they will want to use their own account for multiplayer. Unfortunately we aren't quite ready for this yet. Has anyone tackled this issue. Are we overthinking here?

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• Rotation, further I go from 0:0, the further the object positions around the origin while rotating

  - by Serguei Fedorov

  For some reason I am having the issue where the following code: global.spriteBatch.Draw(obj.sprite, obj.getPosition(), null, Color.White, obj.rotation, obj.center, 2f, SpriteEffects.None, 1); causes the object to rotate around the origin in such a way, as though there is an offset to the position relative to its location. The calculation for the center it correct and this happens even if I set the pivot to be the location of the object. The further I get from 0:0 the larger the radius or rotation. I am not sure what is going on here because given the following tutorial http://www.riemers.net/eng/Tutorials/XNA/Csharp/Series2D/Rotation.php I have done the code setup correctly. Any ideas? Any help is greatly appreciated!!!

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• Ad Service That Lets You Choose Your Ad, and Then Some [on hold]

  - by user3634450

  I'm trying to build an app for both Android and/or iOS where part of the gameplay actually involves ads as a texture. I need to be able to choose which ads I would like to use. I need to be able to be able to identify the ads (which if I can choose which ads show up in the app shouldn't be that hard). I need to be able to swap in and out new ads on what could possibly be a daily basis (and don't want to have to update the app to do it). And as if that wasn't too needy a list, I need to be able to load 50 ads from the pool of ads I deem fit, all to each and every user of the app at least every couple of days. I don't care if the ads pay, I'm not looking for clicks, but I don't want to have to make 50 fake ads every couple of days, from an "artistic" level I don't want the content to feel phony or fake, and I don't really have a way to load content to each user via some internet source (if anyone could name one that would be great). I'm not sure what kind of ad provider would like or even approve of this, in fact just what I've described might be against Google Play's or iTunes' content developer policies, but if anyone could give me any advice to steer me in the right direction it would be greatly appreciated, thank you.

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• I don't understand why one of my vbo is overwritten by another

  - by Alays

  to create a vbo I use this function: public void loadVBO(){ vboID = GL15.glGenBuffers(); GL15.glBindBuffer(GL15.GL_ARRAY_BUFFER, vboID); GL15.glBufferData(GL15.GL_ARRAY_BUFFER, buf, GL15.GL_STATIC_DRAW); // Put the position coordinates in attribute list 0 GL20.glVertexAttribPointer(0, 4, GL11.GL_FLOAT, false,4*4+4*4+4*4+2*4 , 0); // Put the color components in attribute list 1 GL20.glVertexAttribPointer(1, 4, GL11.GL_FLOAT, false,4*4+4*4+4*4+2*4 , 4*4); GL20.glVertexAttribPointer(2, 4, GL11.GL_FLOAT, false,4*4+4*4+4*4+2*4 , 4*4+4*4); // Put the texture coordinates in attribute list 2 GL20.glVertexAttribPointer(3, 4, GL11.GL_FLOAT, false,4*4+4*4+4*4+2*4 , 4*4+4*4+4*4); GL15.glBindBuffer(GL15.GL_ARRAY_BUFFER, 0); } to display a vbo I use this function: public void displayVBO(){ GL15.glBindBuffer(GL15.GL_ELEMENT_ARRAY_BUFFER, vboID); GL20.glEnableVertexAttribArray(0); GL20.glEnableVertexAttribArray(1); GL20.glEnableVertexAttribArray(2); GL20.glEnableVertexAttribArray(3); GL11.glDrawArrays(GL_TRIANGLES, 0, buf.capacity()); GL20.glDisableVertexAttribArray(0); GL20.glDisableVertexAttribArray(1); GL20.glDisableVertexAttribArray(2); GL20.glDisableVertexAttribArray(3); GL15.glBindBuffer(GL15.GL_ARRAY_BUFFER, 0); } So when I call map.loadVBO() and then ocean.loadVBO(), I think the second call overwrite the first vbo I don't know how ... When I call map.display() and ocean.display(), I have the ocean draw 2 times .... Thanks.

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• BlockingCollection having issues with byte arrays

  - by MJLaukala

  I am having an issue where an object with a byte[20] is being passed into a BlockingCollection on one thread and another thread returning the object with a byte[0] using BlockingCollection.Take(). I think this is a threading issue but I do not know where or why this is happening considering that BlockingCollection is a concurrent collection. Sometimes on thread2, myclass2.mybytes equals byte[0]. Any information on how to fix this is greatly appreciated. MessageBuffer.cs public class MessageBuffer : BlockingCollection<Message> { } In the class that has Listener() and ReceivedMessageHandler(object messageProcessor) private MessageBuffer RecievedMessageBuffer; On Thread1 private void Listener() { while (this.IsListening) { try { Message message = Message.ReadMessage(this.Stream, this); if (message != null) { this.RecievedMessageBuffer.Add(message); } } catch (IOException ex) { if (!this.Client.Connected) { this.OnDisconnected(); } else { Logger.LogException(ex.ToString()); this.OnDisconnected(); } } catch (Exception ex) { Logger.LogException(ex.ToString()); this.OnDisconnected(); } } } Message.ReadMessage(NetworkStream stream, iTcpConnectClient client) public static Message ReadMessage(NetworkStream stream, iTcpConnectClient client) { int ClassType = -1; Message message = null; try { ClassType = stream.ReadByte(); if (ClassType == -1) { return null; } if (!Message.IDTOCLASS.ContainsKey((byte)ClassType)) { throw new IOException("Class type not found"); } message = Message.GetNewMessage((byte)ClassType); message.Client = client; message.ReadData(stream); if (message.Buffer.Length < message.MessageSize + Message.HeaderSize) { return null; } } catch (IOException ex) { Logger.LogException(ex.ToString()); throw ex; } catch (Exception ex) { Logger.LogException(ex.ToString()); //throw ex; } return message; } On Thread2 private void ReceivedMessageHandler(object messageProcessor) { if (messageProcessor != null) { while (this.IsListening) { Message message = this.RecievedMessageBuffer.Take(); message.Reconstruct(); message.HandleMessage(messageProcessor); } } else { while (this.IsListening) { Message message = this.RecievedMessageBuffer.Take(); message.Reconstruct(); message.HandleMessage(); } } } PlayerStateMessage.cs public class PlayerStateMessage : Message { public GameObject PlayerState; public override int MessageSize { get { return 12; } } public PlayerStateMessage() : base() { this.PlayerState = new GameObject(); } public PlayerStateMessage(GameObject playerState) { this.PlayerState = playerState; } public override void Reconstruct() { this.PlayerState.Poisiton = this.GetVector2FromBuffer(0); this.PlayerState.Rotation = this.GetFloatFromBuffer(8); base.Reconstruct(); } public override void Deconstruct() { this.CreateBuffer(); this.AddToBuffer(this.PlayerState.Poisiton, 0); this.AddToBuffer(this.PlayerState.Rotation, 8); base.Deconstruct(); } public override void HandleMessage(object messageProcessor) { ((MessageProcessor)messageProcessor).ProcessPlayerStateMessage(this); } } Message.GetVector2FromBuffer(int bufferlocation) This is where the exception is thrown because this.Buffer is byte[0] when it should be byte[20]. public Vector2 GetVector2FromBuffer(int bufferlocation) { return new Vector2( BitConverter.ToSingle(this.Buffer, Message.HeaderSize + bufferlocation), BitConverter.ToSingle(this.Buffer, Message.HeaderSize + bufferlocation + 4)); }

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• Java ResourceLoader.getResourceAsStream local resource

  - by Dajgoro Labinac

  Before using lwjgl, i used the Graphic method, and there i displayed imageicons, and i had the picture file located in the resources. I used: ImageIcon tcard = new ImageIcon(this.getClass().getResource("RCA.png")); to load the image. Now when i load textures in lwjgl, i have to use absolute paths to locate the file: tcard = TextureLoader.getTexture("PNG", ResourceLoader.getResourceAsStream("C:/RCA.png")); I tried googling, but i didn't find anything helpful... How can i load the image from the local resources like in the first example?

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• Java getResourceAsStream as local resource

  - by Dajgoro Labinac

  Before using LWJGL, I used the Graphic method, and there I displayed imageicons, and I had the picture file located in the resources. I used: ImageIcon tcard = new ImageIcon(this.getClass().getResource("RCA.png")); to load the image. Now when I load textures in LWJGL, I have to use absolute paths to locate the file: tcard = TextureLoader.getTexture("PNG", ResourceLoader.getResourceAsStream("C:/RCA.png")); I tried Googling, but I didn't find anything helpful. How can I load the image from the local resources like in the first example?

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• Quaternions, Axis Angles and Rotation Matrices. Which of these should I use for FP Camera?

  - by Afonso Lage

  After 2 weeks of reading many math formulas and such I know what is a Quaternion, an Axis Angles and Matrices. I have made my own math libary (Java) to use on my game (LWJGL). But I'm really confused about all this. I want to have a 3D first person camera. The move (translation) is working fine but the rotation isnt working like I need. I need a camera to rotate arround world Axis and not about its own axis. But even using Quaternions, this doesnt work and no matter how much I read about Euler Angles, everybody says to me dont touch on it! This is a little piece of code that i'm using to make the rotation: Quaternion qPitch = Quaternion.createFromAxis(cameraRotate.x, 1.0f, 0.0f, 0.0f); Quaternion qYaw = Quaternion.createFromAxis(cameraRotate.y, 0.0f, 1.0f, 0.0f); this.multiplicate(qPitch.toMatrix4f().toArray()); this.multiplicate(qYaw.toMatrix4f().toArray()); Where this is a Matrix4f view matrix and cameraRotate is a Vector3f that just handle the angles to rotate obtained from mouse move. So I think I'm doing everything right: Translate the view Matrix Rotate the Move Matrix So, after reading all this, I just want to know: To obtain a correct first person camera rotate, I must need to use Quaternios to make the rotations, but how to rotate around world axis? Thanks for reading it. Best regards, Afonso Lage

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• 3d js map rendering

  - by gotha

  In the past I've done a 2D tile map using HTML, CSS and Javascript. Now I have the task of creating a 3D version using the same technologies - think of it like a space map where all planets have x/y/z positions. Currently, I have no idea to do this. Is there an existing library or something I can modify to do my job? If not, what method of rendering the map should I use? It needs to be as browser independent as possible, so I can't use webgl, flash or canvas. I'm considering plain JS & HTML or SVG (using Raphael for compatibility).

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• Does it make the game more fun when the user is forced to progress through the levels sequentially rather than letting them pick and play?

  - by BeachRunnerJoe

  Hello. For the first time in my game, I'm stuck with a real design dilemma. I guess that's a good thing ;) I'm building a word puzzle game that has five levels, each with 30 puzzles. Currently, the user has to solve one puzzle at a time before moving to the next. However, I'm finding the user occasionally gets stuck on a puzzle, at which point they can no longer play until they solve it. This is obviously bad because many people will probably just quit playing the game and delete the app. The only elegant solution I can find to helping the player get unstuck is changing the design of the game to allow the users to pick any puzzle to play at any time. This way, if they get stuck, they can come back to it later and at least they have other puzzles to play in the meantime. It's my opinion, however, that this new flow design doesn't make the game as fun as the original flow design where the player has to complete a puzzle before moving to the next. To me, it's like anything else, when you only have one of something, it's more enjoyable, but when you have 30 of something, it's far less enjoyable. In fact, when I present the user with 30 puzzles to choose from, I'm concerned I might be making them feel like it's a lot of work they have to do and that's bad. I even had a tester voluntarily tell me that being forced to complete a puzzle before moving to the next is actually motivating. My questions are... Do you agree/disagree? Do you have any suggestions for how I can help the player get unstuck? Thanks so much in advance for your thoughts! EDIT: I should mention that I've already considered a few other solutions to helping the user get unstuck, but none of them seem like good ideas. They are... Add more hints: Currently, the user gets two hints per puzzle. If I increase the hint count, it only makes the game more easy and still leaves the possibility of the user getting stuck. Add a "Show Solution" button: This seems like a bad idea because it's my opinion this takes the fun out of the game for many people who would probably otherwise solve the puzzle if they didn't have the quick option to see the solution.

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• How do I implement input and movement with characters that get into vehicles?

  - by Xkynar

  I'm making a game similar to GTA2. When the player enters the vehicle, what happens in terms of logic? Does the player becomes the vehicle? Does the vehicle override the player movement? The main question is how should it look at a vehicle? I want to understand if the player becomes the car or if the player has a "motion state" like "driving, walking, flying" depending on what he is doing in a moment, I know there are tons of ways to implement vehicles in a game.

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• Can Google Translate's audio files be used in a game?

  - by ashes999

  For my game, I need text-to-speech. Since it's Android, I decided to settle for MP3s, since the range of words spoken is few. For my prototype, I'm using Google Translate to generate the audio since it has awesome pronounciation across multiple languages. But can I use it in production? What if I sell my game for $1 on the app store? All I can find on SE is that the API may be LGPL, and that the licensing page mentions the API is only available for academic research -- nothing more. My usage is a bit different; I'm actually capturing the audio bits and using those instead. I'm curious to know the license for this; I can't find anything with my Google-fu.

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• Game engine lib and editor

  - by luke

  I would like to know the best way/best practice to handle the following situation. Suppose the project you are working on is split in two sub-projects: game engine lib editor gui. Now, you have a method bool Method( const MethodParams &params ) that will be called during game-level initialization. So it is a method belonging to the game engine lib. Now, the parameters of this method, passed as a reference the structure MethodParams can be decided via the editor, in the level design phase. Suppose the structure is the following: enum Enum1 { E1_VAL1, E1_VAL2, }; enum Enum2 { E2_VAL1, E2_VAL2, E2_VAL3, }; struct MethodParams { float value; Enum1 e1; Enum2 e2; // some other member } The editor should present a dialog that will let the user set the MethodParams struct. A text control for the field value. Furthermore, the editor needs to let the user set the fields e1 and e2 using, for example, two combo boxes (a combo box is a window control that has a list of choices). Obviously, every enum should be mapped to a string, so the user can make an informed selection (i have used E1_VAL1 etc.., but normally the enum would be more meaningful). One could even want to map every enum to a string more informative (E1_VAL1 to "Image union algorithm", E1_VAL2 to "Image intersection algorithm" and so on...). The editor will include all the relevant game egine lib files (.h etc...), but this mapping is not automatic and i am confused on how to handle it in a way that, if in future i add E1_VAL3 and E1_VAL4, the code change will be minimal.

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• Input prediction and server re-simultaion

  - by Lope

  I have read plenty of articles about multiplayer principles and I have basic client-server system set up. There is however one thing I am not clear on. When player enters input, it is sent to the server and steps back in time to check if what should have happened at the time of that input and it resimulates the world again. So far everything's clear. All articles took shooting as an example, because it is easy to explain and it is pretty straightforward, but I believe movement is more complicated. Imagine following situation: 2 players move towards each other. A------<------B Player A stops halfway towards the collision point, but there is lag spike so the command does not arrive on the server for a second or so. Current state of the world on the server (and on the other clients as well) at the time when input arrives is this: [1]: -------AB------- The command arrives and we go back in time and re-simulate the world, the result is this: [2]: ---AB----------- Player A sees situation [2] which is correct, but the player is suddenly teleported from the position in [1] (center) to the position in [2]. Is this how this is supposed to work? Point of the client prediction is to give lagged player feeling that everything is smooth, not to ruin experience for other players. Alternative is to discard timestamp on the player's input and handle it when it arrives on the server without going back in time. This, however, creates even more severe problems for lagged player (even if he is lagging just a bit)

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• Glm Vector Transformations [duplicate]

  - by Reanimation

  This question already has an answer here: Car-like Physics - Basic Maths to Simulate Steering 2 answers I have a cube rendered on the screen which represents a car (or similar). Using Projection/Model matrices and Glm I am able to move it back and fourth along the axes and rotate it left or right. I'm having trouble with the vector mathematics to make the cube move forwards no matter which direction it's current orientation is. (ie. if I would like, if it's rotated right 30degrees, when it's move forwards, it travels along the 30degree angle on a new axes). I hope I've explained that correctly. This is what I've managed to do so far in terms of using glm to move the cube: glm::vec3 vel; //velocity vector void renderMovingCube(){ glUseProgram(movingCubeShader.handle()); GLuint matrixLoc4MovingCube = glGetUniformLocation(movingCubeShader.handle(), "ProjectionMatrix"); glUniformMatrix4fv(matrixLoc4MovingCube, 1, GL_FALSE, &ProjectionMatrix[0][0]); glm::mat4 viewMatrixMovingCube; viewMatrixMovingCube = glm::lookAt(camOrigin, camLookingAt, camNormalXYZ); vel.x = cos(rotX); vel.y=sin(rotX); vel*=moveCube; //move cube ModelViewMatrix = glm::translate(viewMatrixMovingCube,globalPos*vel); //bring ground and cube to bottom of screen ModelViewMatrix = glm::translate(ModelViewMatrix, glm::vec3(0,-48,0)); ModelViewMatrix = glm::rotate(ModelViewMatrix, rotX, glm::vec3(0,1,0)); //manually turn glUniformMatrix4fv(glGetUniformLocation(movingCubeShader.handle(), "ModelViewMatrix"), 1, GL_FALSE, &ModelViewMatrix[0][0]); //pass matrix to shader movingCube.render(); //draw glUseProgram(0); } keyboard input: void keyboard() { char BACKWARD = keys['S']; char FORWARD = keys['W']; char ROT_LEFT = keys['A']; char ROT_RIGHT = keys['D']; if (FORWARD) //W - move forwards { globalPos += vel; //globalPos.z -= moveCube; BACKWARD = false; } if (BACKWARD)//S - move backwards { globalPos.z += moveCube; FORWARD = false; } if (ROT_LEFT)//A - turn left { rotX +=0.01f; ROT_LEFT = false; } if (ROT_RIGHT)//D - turn right { rotX -=0.01f; ROT_RIGHT = false; } Where am I going wrong with my vectors? I would like change the direction of the cube (which it does) but then move forwards in that direction.

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• Using OpenCl to jiggle the Pipe

  - by TOAOGG

  I've got the Idea to use OpenCL to program a simple Renderer. A clear contra is, that this approach won't benefit from the hardware as the functions on the device (I think). Would it be useful to do this in OpenCL..lets say we want to Cull as early as possible so we won't have many per vertex operations. Is it correct, that Culling is done after the Vertex-Shader? For static-vertecies who won't get effected by the shader it could be interesting to cull them before. Another idea would be an deferred renderer. So the main question is: Would it make sense to program a renderer in OpenCL (aside the effort)? The resulting picture would be drawn in OpenGL.

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• Fast lighting with multple lights

  - by codymanix

  How can I implement fast lighting with multiple lights? I don't want to restrain the player, he can place an unlimited number and possibly overlapping (point) lights into the level. The problem is that shaders which contain dynamic loops which would be necessary to calculate the lighting tend to be very slow. I had the idea that if it could be possible at compiletime to compile a shader n times where n is the number of lights. If the number n is known at compiletime, the loops can be unrolled automatically. Is this possible to generate n versions of the same shader with just a different number of lights? At runtime I could then decide which shader to use for which part of the level.

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• how to calculate intersection time and place of multiple moving arcs

  - by user20733

  I have rocks orbiting moons, moons orbiting planets, planets orbiting suns, and suns orbiting black holes, and the current system could have many many layers of orbitage. the position of any object is a function of time and relative to the object it orbits. (so far so good). now I want to know for a given 2 objects(A,B), a start time and a speed, how can I work out the when and where to go. I can work out where A and B is given a time. so i just need. 1: direction to travel in from A to B(remember B is moving(not in a straight line)) 2: Time to get to b in a straight line. travel must be in a straight line with the shortest possible distance. as an extension to this question, how will i know if its better to wait, EG is it faster to stay on object A and wait for a hour when the objects may be closer, than to set off from A to B at the start. Cheers, it hurt my brain.

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