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• OpenGL + Allegro. Moving from software drawing X Y to openGL is confusing

  - by Aaron

  Having a fair bit of trouble. I'm used to Allegro and drawing sprites on a bitmap buffer at X Y coords. Now I've started a test project with OpenGL and its weird. Basically, as far as I know, theirs many ways to draw stuff in OpenGL. At the moment, I think I'm creating a Quad? Whatever that is, and I think Ive given it a texture of a bitmap and them im drawing that: GLuint gl_image; bitmap = load_bitmap("cat.bmp", NULL); gl_image = allegro_gl_make_texture_ex(AGL_TEXTURE_MASKED, bitmap, GL_RGBA); glBindTexture(GL_TEXTURE_2D, gl_image); glBegin(GL_QUADS); glColor4ub(255, 255, 255, 255); glTexCoord2f(0, 0); glVertex3f(-0.5, 0.5, 0); glTexCoord2f(1, 0); glVertex3f(0.5, 0.5, 0); glTexCoord2f(1, 1); glVertex3f(0.5, -0.5, 0); glTexCoord2f(0, 1); glVertex3f(-0.5, -0.5, 0); glEnd(); So yeah. So I got a few questions: Is this the best way of drawing a sprite? Is it suitable? The big question: Can anyone help / Does anyone know any tutorials on this weird coordinate thing? If it even is that. It's vastly different from XY, but I want to learn it. I was thinking maybe I could learn how this weird positioning stuff works, and then write a function to try and translate it to X and Y coords. Thats about it. I'm still trying to figure it all out on my own but any contributions you guys can make would be greatly appreciated =D Thanks!

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• J2ME character animation with multiple sprite sheets

  - by Alex

  I'm working on a J2ME game and I want to have walking animations. Each direction of walking has a separate sprite sheet (i.e. one for walking up, one for walking right etc), I also have a static idle image for each direction held together in a single file. I've tried to hold an array of sprites in my player class and then just drawing the sprite corresponding to the current direction, but this doesn't seem to work. I'm aware that if I combine all the animations into one sprite sheet I could set up different animation sequences, but I want to be able to do it with separate images for each animation. Is there a way that anyone knows of to achieve this? And ideally without too much extra code (as opposed to combining the sprites into one sheet)

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• Resolution Independent 2D Rendering in XNA

  - by AttackingHobo

  I am trying to figure out the best way to render a 2d game at any resolution. I am currently rendering the game at 1920x1200. I am trying scale the game to any user selected resolution without changing the way I am rendering, or game logic. What is the best way to scale a game to any arbitrary resolution? Edit: I am trying to achieve this: http://www.david-amador.com/2010/03/xna-2d-independent-resolution-rendering/ but I think the code he has is for a different version of XNA because I cannot find that method overload he uses.

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• Is there a good book or articles to learn about 2D Game Design and Effects?

  - by user28015

  I am not looking for a read how to develop games and how to implement one. I am looking for a general about possible effects in 2D Games and about general design of modern 2D gaming. I have programmed several smaller games over the years and also read books like "Golden Rules of Game Programming" by Martin Bronwlo. So I know how to implement games. What I am looking for are 2 things: Finishing touches such as effects like explosions, particles etc. Not how to make them, but how to design them so it looks right and cool. How to make a 2D game feel "more right" so that users get a satisfying gaming experience. I played a lot of 2D games but I could use some more advice.

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• What''s easy extensible technique to store game data?

  - by Miro

  I'm looking for library/technique for storing my game resources - levels, object (effects,world info), items(price,effects,...), NPC(visual info, behavior), everything except graphics/audio stuff. I've seen lua used for Awesome WM configuration. protobuf looks good, but it seems to be designed for network communication. I've tried to write my own parser, but as the project grows it's more and more harder to manage it and catch all the bugs. My requiremets: stability easy extension of data without need to convert older versions to newer good(don't have to be the best) performance of loading not much coding not XML!

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• The right way to add images to Monogame/Windows

  - by ashes999

  I'm starting out with MonoGame. For now, I'm only targeting Windows (desktop -- not Windows 8 specifically). I've used a couple of XNA products in the past (raw XNA, FlatRedBall, SilverSprite), so I may have a misunderstanding about how I should add images to my content. How do I add images to my project? Currently, I created a new Monogame project, added a folder called "Content," and added images under there; the only caveat is that I need to set the Copy to Output Directory action to one of the Copy ones. It seems strange, because my "raw" XNA project just last week had a Content project in it (XNA Framework Content Pipeline, according to VS2010), which compiled my images to XNB (I think). It seems like Monogame doesn't use the same content pipeline, but I'm not sure. Edit: My question is not about "how do I get the XNA content pipeline to work with Monogame." My question is "why would I want to use the XNA content pipeline in Monogame?" Because there are (at least) two solutions (that I see today): Add the images to the Monogame project and set the Copy to Output Directory options to copy. Add a XNA content pipeline project and add my images to that instead; reference it from my MOnogame project. Which solution should I use, and why? I currently have a working version with the first option.

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• Disappearring instances of VertexPositionColor using MonoGame

  - by Rosko

  I am a complete beginner in graphics developing with XNA/Monogame. Started my own project using Monogame 3.0 for WinRT. I have this unexplainable issue that some of the vertices disappear while doing some updates on them. Basically, it is a game with balls who collide with the walls and with each other and in certain conditions they explode. When they explode they disappear. Here is a video demonstrating the issue. I used wireframes so that it is easier to see how vertices are missing. The perfect exploding balls are the ones which are result by user input with mouse clicking. Thanks for the help. The situations is: I draw user primitives with triangle strips using like this graphicsDevice.DrawUserPrimitives<VertexPositionColor>(PrimitiveType.TriangleStrip, circleVertices, 0, primitiveCount); All of the primitives are in the z-plane (z = 0), I thought that it is the culling in action. I tried setting the culling mode to none but it did not help. Here is the code responsible for the explosion private void Explode(GameTime gameTime, ref List<Circle> circles) { if (this.isExploding) { for (int i = 0; i < this.circleVertices.Length; i++) { if (this.circleVertices[i] != this.circleCenter) { if (Vector3.Distance(this.circleVertices[i].Position, this.circleCenter.Position) < this.explosionRadius * precisionCoefficient) { var explosionVector = this.circleVertices[i].Position - this.circleCenter.Position; explosionVector.Normalize(); explosionVector *= explosionSpeed; circleVertices[i].Position += explosionVector * (float)gameTime.ElapsedGameTime.TotalSeconds; } else { circles.Remove(this); } } } } } I'd be really greatful if anyone has suggestions about how to fix this issue.

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• Movement in RPG

  - by user1264811

  I want to make an RPG game in which I move tile by tile. So when I hit up, the tile row that I am on decreases by one for example. Also, it's supposed to be a slow movement so that I can see the change in tile, i.e. I can see my sprite move from tile to tile. Currently, with the code I have, when I hit a direction on my keyboard, I move several blocks within seconds and by the time I release the button I have already gotten a nullPointerException error because I have left the map. How can I slow down the movement?

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• How to remove a box2d body when collision happens?

  - by Ayham

  I’m still new to java and android programming and I am having so much trouble Removing an object when collision happens. I looked around the web and found that I should never handle removing BOX2D bodies during collision detection (a contact listener) and I should add my objects to an arraylist and set a variable in the User Data section of the body to delete or not and handle the removing action in an update handler. So I did this: First I define two ArrayLists one for the faces and one for the bodies: ArrayList<Sprite> myFaces = new ArrayList<Sprite>(); ArrayList<Body> myBodies = new ArrayList<Body>(); Then when I create a face and connect that face to its body I add them to their ArrayLists like this: face = new AnimatedSprite(pX, pY, pWidth, pHeight, this.mBoxFaceTextureRegion); Body BoxBody = PhysicsFactory.createBoxBody(mPhysicsWorld, face, BodyType.DynamicBody, objectFixtureDef); mPhysicsWorld.registerPhysicsConnector(new PhysicsConnector(face, BoxBody, true, true)); myFaces.add(face); myBodies.add(BoxBody); now I add a contact listener and an update handler in the onloadscene like this: this.mPhysicsWorld.setContactListener(new ContactListener() { private AnimatedSprite face2; @Override public void beginContact(final Contact pContact) { } @Override public void endContact(final Contact pContact) { } @Override public void preSolve(Contact contact,Manifold oldManifold) { } @Override public void postSolve(Contact contact,ContactImpulse impulse) { } }); scene.registerUpdateHandler(new IUpdateHandler() { @Override public void reset() { } @Override public void onUpdate(final float pSecondsElapsed) { } }); My plan is to detect which two bodies collided in the contact listener by checking a variable from the user data section of the body, get their numbers in the array list and finally use the update handler to remove these bodies. The questions are: Am I using the arraylist correctly? How to add a variable to the User Data (the code please). I tried removing a body in this update handler but it still throws me NullPointerException , so what is the right way to add an update handler and where should I add it. Any other advices to do this would be great. Thanks in advance.

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• Creating my own kill cam

  - by DalexL

  I plan on creating my own kill cam system for a sandbox tool set. After thinking about the mechanics of the kill cam itself, however, I'm quite lost. I'm trying to recreate the ones commonly seen in call of duty games that show, from the view of the killer, the actual killing scene. My Thoughts: -I can't just keep in memory when people kill others because I wouldn't know when to start the 'recording process'. There is on way for me to accurately determine when somebody is 'about' to kill someone. -My only real idea so far is to have a complete duplicate of everything loaded off to the side copying all the movement from the original world but with a 10 second delay. That way, all the kill cams would be 10 seconds long and the persons camera would just be moved to the second world of their killer. My Questions: Is there already an accepted way to do this? Does anybody have any good ideas for something like this? Thanks if you can!

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• What are the pros and cons of a non-fixed-interval update loop?

  - by akonsu

  I am studying various approaches to implementing a game loop and I have found this article. In the article the author implements a loop which, if the processing falls behind in time, skips frame renderings and just updates the game in a loop (the last variant called "Constant Game Speed independent of Variable FPS"). I do not understand why it is acceptable to call update_game() in a loop without making sure the update function is called at a particular interval. I do not see any value in doing this. I would think that in my game I want to be sure the game is updated periodically with a known period. So maybe it is worthwhile to have two threads, one would call update periodically, and the other one would redraw the game, also periodically? Would this be a good and practical approach? Of course I would need to synchronise the threads.

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• Debugging Minimum Translation Vector

  - by SyntheCypher

  I implemented the minimum translation vector from codezealot's tutorial on SAT (Separating Axis Theorem) but I'm having an issue I can't quite figure out. Here's the example I have: As you can see in top and bottom left images regardless of the side the of the green car which red car is penetrating the MTV for the red car still remains as a negative number also here is the same example when the front of the red car is facing the opposite direction the number will always be positive. When the red car is past the half way through the green car it should switch polarity. I thought I'd compensated for this in my code, but apparently not either that or it's a bug I can find. Here is my function for finding and returning the MTV, any help would be much appreciated: Code

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• Improving the efficiency of frustum culling

  - by DeadMG

  I've got some code which performs frustum culling. However, this defines the "frustum" way too broadly- when I have ~10 objects on screen, the code returns 42 objects to be rendered. I've tried taking "slices" through the frustum to attempt to increase the accuracy of the technique, but it doesn't seem to have made much impact. I also significantly reduced the far plane, so that the objects are barely at the edge. Here's my code (where size is the size in screen space- the resolution of the client area of the window I'm rendering into). Any suggestions? auto&& size = GetDimensions(); D3DVIEWPORT9 vp = { 0, 0, size.x, size.y, 0, 1 }; D3DCALL(device->SetViewport(&vp)); static const int slices = 10; std::vector<Object*> result; for(int i = 0; i < slices; i++) { D3DXVECTOR3 WorldSpaceFrustrumPoints[8] = { D3DXVECTOR3(0, size.y, static_cast<float>(i) / slices), D3DXVECTOR3(size.x, 0, static_cast<float>(i) / slices), D3DXVECTOR3(size.x, size.y, static_cast<float>(i) / slices), D3DXVECTOR3(0, 0, static_cast<float>(i) / slices), D3DXVECTOR3(0, 0, static_cast<float>(i + 1) / slices), D3DXVECTOR3(size.x, 0, static_cast<float>(i + 1) / slices), D3DXVECTOR3(size.x, size.y, static_cast<float>(i + 1) / slices), D3DXVECTOR3(0, size.y, static_cast<float>(i + 1) / slices) }; D3DXMATRIXA16 Identity; D3DXMatrixIdentity(&Identity); D3DXVec3UnprojectArray( WorldSpaceFrustrumPoints, sizeof(D3DXVECTOR3), WorldSpaceFrustrumPoints, sizeof(D3DXVECTOR3), &vp, &Projection, &View, &Identity, 8 ); Math::AABB Frustrum; auto world_begin = std::begin(WorldSpaceFrustrumPoints); auto world_end = std::end(WorldSpaceFrustrumPoints); auto world_initial = WorldSpaceFrustrumPoints[0]; Frustrum.BottomLeftClosest.x = std::accumulate(world_begin, world_end, world_initial, [](D3DXVECTOR3 lhs, D3DXVECTOR3 rhs) { return lhs.x < rhs.x ? lhs : rhs; }).x; Frustrum.BottomLeftClosest.y = std::accumulate(world_begin, world_end, world_initial, [](D3DXVECTOR3 lhs, D3DXVECTOR3 rhs) { return lhs.y < rhs.y ? lhs : rhs; }).y; Frustrum.BottomLeftClosest.z = std::accumulate(world_begin, world_end, world_initial, [](D3DXVECTOR3 lhs, D3DXVECTOR3 rhs) { return lhs.z < rhs.z ? lhs : rhs; }).z; Frustrum.TopRightFurthest.x = std::accumulate(world_begin, world_end, world_initial, [](D3DXVECTOR3 lhs, D3DXVECTOR3 rhs) { return lhs.x > rhs.x ? lhs : rhs; }).x; Frustrum.TopRightFurthest.y = std::accumulate(world_begin, world_end, world_initial, [](D3DXVECTOR3 lhs, D3DXVECTOR3 rhs) { return lhs.y > rhs.y ? lhs : rhs; }).y; Frustrum.TopRightFurthest.z = std::accumulate(world_begin, world_end, world_initial, [](D3DXVECTOR3 lhs, D3DXVECTOR3 rhs) { return lhs.z > rhs.z ? lhs : rhs; }).z; auto slices_result = ObjectTree.collision(Frustrum); result.insert(result.end(), slices_result.begin(), slices_result.end()); } return result;

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• Multiplayer online game engine/pipeline

  - by Slav

  I am implementing online multiplayer game where client must be written in AS3 (Flash) to embed game into browser and server in C++ (abstract part of which is already written and used with other games). Networking models may differ from each other, but currently I'm looking toward game's logic run on both client and server parts but they're written on different languages while it's not the main problem. My previous game (pretty big one - was implemented with efforts of ~5 programmers in 1.5 years) was mainly "written" within electronic tables as structured objects with implemented inheritance: was written standalone tool which generated AS3 and C++ (languages of platforms to which the game was published) using specified electronic tables file (.xls or .ods). That file contained ~50 tables with ~50 rows and ~50 columns each and was mainly written by game designers which do not know any programming languages. But that game was single-player. Having declared problem with my currently implementing MMO, I'm looking toward some vast pipeline, where will be resolved such problems like: game objects descriptions (which starships exist within game, how much HP they have, how fast move, what damage deal...) actions descriptions (what players or NPCs can do: attack each other, collect resources, build structures, move, teleport, cast spells) - actions are transmitted through server between clients influences (what happens when specified action applied on specified object, e.i "Ship A attacked Ship B: field "HP" of Ship B reduced by amount of field "damage" of Ship A" Influences can be much more difficult, yes, e.i. "damage is twice it's size when Ship has =5 allies around him in a 200 units range during night" and so on. If to be able to write such logic within some "design document" it will be easily possible to: let designers to do their job without programmer's intervention or any bug-prone programming validate described logic transfer (transform, convert) to any programming language where it will be executed Did somebody worked on something like that? Is there some tools/engines/pipelines which concernes with it? How to handle all of this problems simultaneously in a best way or do I properly imagine my tasks and problems to myself?

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• Why can't I compare two Texture2D's?

  - by Fiona

  I am trying to use an accessor, as it seems to me that that is the only way to accomplish what I want to do. Here is my code: Game1.cs public class GroundTexture { private Texture2D dirt; public Texture2D Dirt { get { return dirt; } set { dirt = value; } } } public class Main : Game { public static Texture2D texture = tile.Texture; GroundTexture groundTexture = new GroundTexture(); public static Texture2D dirt; protected override void LoadContent() { Tile tile = (Tile)currentLevel.GetTile(20, 20); dirt = Content.Load<Texture2D>("Dirt"); groundTexture.Dirt = dirt; Texture2D texture = tile.Texture; } protected override void Update(GameTime gameTime) { if (texture == groundTexture.Dirt) { player.TileCollision(groundBounds); } base.Update(gameTime); } } I removed irrelevant information from the LoadContent and Update functions. On the following line: if (texture == groundTexture.Dirt) I am getting the error Operator '==' cannot be applied to operands of type 'Microsoft.Xna.Framework.Graphics.Texture2D' and 'Game1.GroundTexture' Am I using the accessor correctly? And why do I get this error? "Dirt" is Texture2D, so they should be comparable. This using a few functions from a program called Realm Factory, which is a tile editor. The numbers "20, 20" are just a sample of the level I made below: tile.Texture returns the sprite, which here is the content item Dirt.png Thank you very much! (I posted this on the main Stackoverflow site, but after several days didn't get a response. Since it has to do mainly with Texture2D, I figured I'd ask here.)

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• How does Minecraft render its sunset and sky?

  - by Nick

  In Minecraft, the sunset looks really beautiful and I've always wanted to know how they do it. Do they use several skyboxes rendered over eachother? That is, one for the sky (which can turn dark and light depending on the time of the day), one for the sun and moon, and one for the orange horizon effect? I was hoping someone could enlighten me... I wish I could enter wireframe or something like that but as far as I know that is not possible.

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• Splitting a texture atlas into seperate images

  - by bigtunacan

  I'm doing a port of an existing game and the designer no longer has all of the original art; he only has the resulting texture atlases he used when developing for iPad. The tool I'm using won't support these files so I need to break them back out into separate PNG files. I'm hoping someone knows of a software tool that does this. PC software would be preferred in this case, but Mac would suffice.

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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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• XNA 4.0 Point Vertex Rendering

  - by luis

  I have a buffer of about 134 million particles and a very powerful computer to render them smoothly but I am getting an error when trying to render them as primitive lines it says I cannot render more than around 1 million. I wonder how can I do this, also if is there a better way to render this other than with lines, I'm comfortable with having 1 pixel points or anything as long as the vertices are shown all the time. I'm basically just plotting the points. thanks.

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• How to perform simple collision detection?

  - by Rob

  Imagine two squares sitting side by side, both level with the ground like so: A simple way to detect if one is hitting the other is to compare the location of each side. They are touching if all of the following are false: The right square's left side is to the right of the left square's right side. The right square's right side is to the left of the left square's left side. The right square's bottom side is above the left square's top side. The right square's top side is below the left square's bottom side. If any of those are true, the squares are not touching. But consider a case like this, where one square is at a 45 degree angle: Is there an equally simple way to determine if those squares are touching?

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• Explaining Asteroids Movement code

  - by Moaz ELdeen

  I'm writing an Asteroids Atari clone, and I want to figure out how the AI for the asteroids is done. I have came across that piece of code, but I can't get what it does 100% if ((float)rand()/(float)RAND_MAX < 0.5) { m_Pos.x = -app::getWindowWidth() / 2; if ((float)rand()/(float)RAND_MAX < 0.5) m_Pos.x = app::getWindowWidth() / 2; m_Pos.y = (int) ((float)rand()/(float)RAND_MAX * app::getWindowWidth()); } else { m_Pos.x = (int) ((float)rand()/(float)RAND_MAX * app::getWindowWidth()); m_Pos.y = -app::getWindowHeight() / 2; if (rand() < 0.5) m_Pos.y = app::getWindowHeight() / 2; } m_Vel.x = (float)rand()/(float)RAND_MAX * 2; if ((float)rand()/(float)RAND_MAX < 0.5) { m_Vel.x = -m_Vel.x; } m_Vel.y =(float)rand()/(float)RAND_MAX * 2; if ((float)rand()/(float)RAND_MAX < 0.5) m_Vel.y = -m_Vel.y;

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• How can I create animated card graphics like in Hearthstone?

  - by Appeltaart

  In the game Hearthstone, there are cards with animated images on them. A few examples: http://www.hearthhead.com/card=281/argent-commander http://www.hearthhead.com/card=469/blood-imp The animations seem to be composed of multiple effects: Particle systems. Fading sprites in and out/rotating them Simple scrolling textures A distortion effect, very evident in the cape and hair of example 1. Swirling smoke effects, the light in example 1 and the green/purple glow in example 2. The first three elements are trivial, what I'd like to know is how the last two could be done. Can this even be done realtime in a game, or are they pre-rendered animations?

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• Rendering output to arbitary quadrilateral

  - by Trainee4Life

  I want to render output on a device to an arbitary quadirlateral, i.e. project texture on to a quad. What are the possible ways I could implement it? Till now, I have investigated: Drawing textured quadrilateral - Quads look odd as they are composed of triangles, and the distortion looks odd. The issue I'm facing has been discussed here and here as well. Setting transformation on device - Need help in getting this implemented. Pixel shaders - Not able to implement the desired effect. Any help would be much appreciated.

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• vector collision on polygon in 3d space detection/testing?

  - by LRFLEW

  In the 3d fps in java I'm working on, I need a bullet to be fired and to tell if it hit someone. All visual objects in the game are defined through OpenGL, so the object it can be colliding with can be any drawable polygon (although they will most likely be triangles and rectangles anyways). The bullet is not an object, but will be treated as a vector that instantaneously moves all the way across the map (like the snipper riffle in Halo). What's the best way to detect/test collisions with the polygon and the vector. I have access to OpenCL, however I have absolutely no experience with it. I am very early in the developmental stage, so if you think there's a better way of going about this, feel free to tell me (I barley have a player model to collide with anyways, so I'm flexible with it). Thanks

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• Finding the shorter turning direction towards a target

  - by A.B.

  I'm trying to implement a type of movement where the object gradually faces the target. The problem I've run into is figuring out which turning direction is faster. The following code works until the object's orientation crosses the -PI or PI threshold, at which point it will start turning into the opposite direction void moveToPoint(sf::Vector2f destination) { if (destination == position) return; auto distance = distanceBetweenPoints(position, destination); auto direction = angleBetweenPoints(position, destination); /// Decides whether incrementing or decrementing orientation is faster /// the next line is the problem if (atan2(sin(direction - rotation), cos(direction - rotation)) > 0 ) { /// Increment rotation rotation += rotation_speed; } else { /// Decrement rotation rotation -= rotation_speed; } if (distance < movement_speed) { position = destination; } else { position.x = position.x + movement_speed*cos(rotation); position.y = position.y + movement_speed*sin(rotation); } updateGraphics(); } 'rotation' and 'rotation_speed' are implemented as custom data type for radians which cannot have values lower than -PI and greater than PI. Any excess or deficit "wraps around". For example, -3.2 becomes ~3.08.

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