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• How can I customize an FPS game?

  - by monoceres

  I want to create a customized (modded) fps game where I can change the look and feel of the game to match my intended theme. Some of the things I would like to do: Create a custom map (terrain). Add custom sound effects Change AI (For example, running away instead of actively looking for combat). Change menus and add some storyboard. Script events in game (like a countdown until game over) Change the models of the NPC's. What options do I have? Is there any platform/game/engine/whatever that allows one to do the things above in a reasonable way? I work as a programmer so I'm not afraid of coding some part of the project, but to save time it would be nice to work in some high-level way (like scripting or configuration files).

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• In regards to applet games and UDP

  - by Tom Steinberg

  I've got about a year in Java experience, and would like to set up a server and client for an applet game. However, there doesn't appear to be any tutorials out there on anything like I want to use. I would the server to be able to store an array of x and y coordinates with a player name somehow associated to them, and send them to multiple clients in a short time span. I would like the client implemented in the applet, and be able to request any player's position data. I'd like to use UDP, because it seems to be the best option for efficient (if less reliable) transmission of data. If anyone could give me some pointers on how to do such a project, or point me to an appropriate tutorial, I'd certainly appreciate it.

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• Why is C++ used for game engines? How about its future in game engines?

  - by kasperov

  C++, as I have seen, is being heavily used in 3d video game engines.... Is it because of the performance issues, legecy code or libraries such as DriverX? If performance, libraries and code infrastructure are the reasons, dosen't that make C++ indispensible, at least for game engines? (ie, we have no other option even in the very distant future). I asked this because, I have the right to know the upcomming future trends in game engines.

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• XNA 2D Spritesheet drawing rendering problem

  - by user24092

  I'm making a tile-based game, using one spritesheet containing all tile graphics. Each tile has a size of 32x32 pixels. The main problem is: when I draw the tile to the screen, if the tile position x and y are not rounded or if scale is activated in spriteBatch.Draw() method (scale != 1.0f), I get some lines of adjacent tiles on the spritesheet into the current tile drawed. I already tried setting SamplerState to PointClamp, removing AntiAlias, but still doesn't work. Here I'll show images of some tests that I made, with a test sprite sheet that I've created (I made a 9x9 spritesheet, with each sprite of size 32x32 containing a unique solid color). Tests: http://img6.imageshack.us/img6/5946/testsqj.png SpriteSheet used: http://imageshack.us/a/img821/1341/tilesm.png Already tried to remove anti-alias, set PointClamp as sampler state, but still getting this issue, XNA keeps drawing part of the adjacent pixels of the texture on the screen. What I want is to get the correct area of the tilesheet texture (as seen in the first test, that gets just the yellow pixels). My question is: Is there any way that I can fix this, WITHOUT adding tile spacing or any other modification involving the tilesheet? Maybe disabling a texture filtering that is done by XNA, or something like that.

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• Are there any alternative JS ports of Box2D?

  - by Petteri Hietavirta

  I have been thinking about creating a top down 2D car game for HTML5. For my first game I wrote the physics and collisions my self but for this one I would like to use some ready made library. I found out Box2D and its JS port. http://box2d-js.sourceforge.net It seems to be quite old port, made in 2008. Is it lacking many features of current Box2D or does it have major issues with it? And are there any alternatives for it?

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• How do I implement a selectable world map?

  - by Clay

  I want to have a selectable map of the world, preferably zoomable, in a cocos2d project. When I tap on a country, I want that country to be selected so that I can perform some other operations with it. It seems that the best approach would be to use a vector world map, but I'm unsure how to implement this with cocos2d. Other options include using map tiles, but it seems that still would require the implementation of country polygons for tap/click detection. Depending on user input, I want to add icons to various countries on the map. What is a good way to approach the implementation of this type of map?

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• Turn-Based RPG Battle Instance Layout For Larger Groups

  - by SoulBeaver

  What a title, eh? I'm currently designing a videogame; a turn-based RPG like Final Fantasy (because everybody knows Final Fantasy). It's a 2D sprite game. These are my ideas for combat: -The player has a group of 15 members (main character included) -During battle, five of the group are designated as active, and appear in the battle. -These five may be switched out at leisure, or when one of the five die. -At any time, the Waiting members can cast buffs, be healed by the active members, or perform special attacks. -Battles should contain 10+ monsters at least. I'm aiming for 20, but I'm not sure if that's possible yet. -Battles should feel larger than normal due to the interaction of Waiting members, active members and the increased amount of monsters per battle. -The player has two rows in which to put the Active members: front and back. -Depending on the implementation, I might allow comboing of player attacks and skills. These are just design ideas, so beware! I have not been able to test this out yet- I have no idea yet if any of these ideas bunched together will make for a compelling game. What sounds good on paper doesn't necessarily have to be good in practice! What I'm asking now is how to create the layout for this. My starting point are the battles in Final Fantasy VI, with up to 5-6 monsters on the left and the characters on the right- monsters on both sides if it's a pincer attack. However, this view would not work feasible with my goal of 20 monsters and 5 characters. All the monsters on the left would appear cluttered unless I scale them far far back. If I create a pincer-like map, then there would be no real pincer-attack possible. If I space the monsters out I force the player to scroll the screen- a game mechanic I've come across and not enjoyed imho. My question is: does anybody have any layouts or guides for designing battle maps in turn-based RPGs, especially with a larger number of enemies taken into consideration? How should it look? I am not asking for specific combat mechanics, just the layout for the moment.

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• How can I read a portion of one Minecraft world file and write it into another?

  - by RapierMother

  I'm looking to read block data from one Minecraft world and write the data into certain places in another. I have a Minecraft world, let's say "TemplateWorld", and a 2D list of Point objects. I'm developing an application that should use the x and y values of these Points as x and z reference coordinates from which to read constant-sized areas of blocks from the TemplateWorld. It should then write these blocks into another Minecraft world at constant y coordinates, with x & z coordinates determined based on each Point's index in the 2D list. The issue is that, while I've found a decent amount of information online regarding Minecraft world formats, I haven't found what I really need: more of a breakdown by hex address of where/what everything is. For example, I could have the TemplateWorld actually be a .schematic file rather than a world; I just need to be able to read the bytes of the file, know that the actual block data starts always at a certain address (or after a certain instance of FF, etc.), and how it's stored. Once I know that, it's easy as pie to just read the bytes and store them.

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• Ray Picking Problems

  - by A Name I Haven't Decided On

  I've read so many answers on here about how to do Ray Picking, that I thought I had the idea of it down. But when I try to implement it in my game, I get garbage. I'm working with LWJGL. Here's the code: public static Ray getPick(int mouseX, int mouseY){ glPushMatrix(); //Setting up the Mouse Clip Vector4f mouseClip = new Vector4f((float)mouseX * 2 / 960f - 1, 1 - (float)mouseY * 2 / 640f ,0 ,1); //Loading Matrices FloatBuffer modMatrix = BufferUtils.createFloatBuffer(16); FloatBuffer projMatrix = BufferUtils.createFloatBuffer(16); glGetFloat(GL_MODELVIEW_MATRIX, modMatrix); glGetFloat(GL_PROJECTION_MATRIX, projMatrix); //Assigning Matrices Matrix4f proj = new Matrix4f(); Matrix4f model = new Matrix4f(); model.load(modMatrix); proj.load(projMatrix); //Multiplying the Projection Matrix by the Model View Matrix Matrix4f tempView = new Matrix4f(); Matrix4f.mul(proj, model, tempView); tempView.invert(); //Getting the Camera Position in World Space. The 4th Column of the Model View Matrix. model.invert(); Point cameraPos = new Point(model.m30, model.m31, model.m32); //Theoretically getting the vector the Picking Ray goes Vector4f rayVector = new Vector4f(); Matrix4f.transform(tempView, mouseClip, rayVector); rayVector.translate((float)-cameraPos.getX(),(float) -cameraPos.getY(),(float) -cameraPos.getZ(), 0f); rayVector.normalise(); glPopMatrix(); //This Basically Spits out a value that changes as the Camera moves. //When the Mouse moves, the values change around 0.001 points from screen edge to edge. System.out.format("Vector: %f %f %f%n", rayVector.x, rayVector.y, rayVector.z); //return new Ray(cameraPos, rayVector); return null; } I don't really know why this isn't working. I was hoping some more experienced eyes might be able to help me out. I can get the camera position like a champ, it's the vector the rays going in that I can't seem to get right. Thanks.

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• Where to hire a scenario writer for a small interactive story game?

  - by Alexander Gladysh

  I need a scenario for a small dialog-based game / interactive story. The game would be used as an example for a middleware tool we're developing. I would like to buy an existing story (it should be dynamic of course — with branching dialogs etc.), or hire someone to write a new one. Please advise, where to go to find such person / service? We're based in Russia, so getting a talented enough native English writer locally is a bit of a problem. Update: To be extra clear: We must get all necessary rights to reuse the story and make a derived work (i.e. the game we're talking about) from it. This is a commercial product. Borrowing someone else's work at random and using it just not going to work.

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• How should I model an economy-based game in code?

  - by Matthew G.

  I'd like to create an economy game based on an ancient civilization. I'm not sure how to design it. If I were working on a smaller game, like a copy of "Space Invaders," I'd have no problem structuring it like this: Main Control Class Graphics Class Player Class Enemy class I don't understand how I'd do this for larger projects like my economy game. Do I create a country class that contains a bunch of towns? Do the towns contain a lot building class, most contain classes of people? Do I make a path finding class that the player can access to get around?

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• How to Effectively Create Bullet Patterns

  - by SoulBeaver

  I'm currently creating a top-down shooter like Touhou. The most important factor of the game is that there are many diverse patterns and ways at which bullets are generated and shot at the player, see this video: http://www.youtube.com/watch?v=4Nb5Ohbt1Sg#start=0:60;end=9:53; At the moment, I'm using a class "Pattern" which has a series of steps on moving and shooting. However, I feel this method is quite laborous as I have to create a new Pattern for each attack and perhaps new Bullet classes that will implement a certain behavior. This question received a comment suggesting I should look into BulletML for easy creation and storage of bullets with a specific pattern. It looks decent, but it led me to wonder, what other solutions do you have that I should take into consideration? Update My current design is as follows: An example of an implemented pattern: My GigasPattern first executes a teleport which moves Alice to a certain point (X, Y) on the screen. After this is completed, the pattern starts using the Mover to move the sprite around (whereas teleporting has separate effects and animation). These are of no concern, really, as they are quite simple. The Shooter also creates various Attacks, which are classes again that the Shooter can use to create various patterns of bullets, much like the one in the question I posted. Once the Mover has reached it's destination, both it and the shooter stop and return to an inactive state. The pattern completes, is removed by the AI and a new one gets chosen.

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• C++ and SDL Trouble Creating a STL Vector of a Game Object

  - by Jackson Blades

  I am trying to create a Space Invaders clone using C++ and SDL. The problem I am having is in trying to create Waves of Enemies. I am trying to model this by making my Waves a vector of 8 Enemy objects. My Enemy constructor takes two arguments, an x and y offset. My Wave constructor also takes two arguments, an x and y offset. What I am trying to do is have my Wave constructor initialize a vector of Enemies, and have each enemy given a different x offset so that they are spaced out appropriately. Enemy::Enemy(int x, int y) { box.x = x; box.y = y; box.w = ENEMY_WIDTH; box.h = ENEMY_HEIGHT; xVel = ENEMY_WIDTH / 2; } Wave::Wave(int x, int y) { box.x = x; box.y = y; box.w = WAVE_WIDTH; box.y = WAVE_HEIGHT; xVel = (-1)*ENEMY_WIDTH; yVel = 0; std::vector<Enemy> enemyWave; for (int i = 0; i < enemyWave.size(); i++) { Enemy temp(box.x + ((ENEMY_WIDTH + 16) * i), box.y); enemyWave.push_back(temp); } } I guess what I am asking is if there is a cleaner, more elegant way to do this sort of initialization with vectors, or if this is right at all. Any help is greatly appreciated.

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• Can i change the order of these OpenGL / Win32 calls?

  - by Adam Naylor

  I've been adapting the NeHe ogl/win32 code to be more object orientated and I don't like the way some of the calls are structured. The example has the following pseudo structure: Register window class Change display settings with a DEVMODE Adjust window rect Create window Get DC Find closest matching pixel format Set the pixel format to closest match Create rendering context Make that context current Show the window Set it to foreground Set it to having focus Resize the GL scene Init GL The points in bold are what I want to move into a rendering class (the rest are what I see being pure win32 calls) but I'm not sure if I can call them after the win32 calls. Essentially what I'm aiming for is to encapsulate the Win32 calls into a Platform::Initiate() type method and the rest into a sort of Renderer::Initiate() method. So my question essentially boils down to: "Would OpenGL allow these methods to be called in this order?" Register window class Adjust window rect Create window Get DC Show the window Set it to foreground Set it to having focus Change display settings with a DEVMODE Find closest matching pixel format Set the pixel format to closest match Create rendering context Make that context current Resize the GL scene Init GL (obviously passing through the appropriate window handles and device contexts.) Thanks in advance.

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• Setting density for Android game

  - by Asghar

  I am developing an Android game, in which a ball (bitmap) translates( is in motion). So I have provided motion equations for the ball. I have checked my app on Samsung galaxy S2 whose actual density is roundly 252 dpi, and It works fine on that. So my question is that Does these motions of bitmaps in surfaceView, depends on actual density of phone( i.e 252 dpi for S2) or generalized density(i.e 240 dpi). I am confused whether if I run this app on 235 dpi smartphone, So will it have the same performance of motion as it is on Galaxy S2( with 252 dpi) or it would be little slow ? Any help will be appreciated.

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• Lerping to a center point while in motion

  - by Fibericon

  I have an enemy that initially flies in a circular motion, while facing away from the center point. This is how I achieve that: position.Y = (float)(Math.Cos(timeAlive * MathHelper.PiOver4) * radius + origin.Y); position.X = (float)(Math.Sin(timeAlive * MathHelper.PiOver4) * radius + origin.X); if (timeAlive < 5) { angle = (float)Math.Atan((0 - position.X) / (0 - position.Y)); if (0 < position.Y) RotationMatrix = Matrix.CreateRotationX(MathHelper.PiOver2) * Matrix.CreateRotationZ(-1 * angle); else RotationMatrix = Matrix.CreateRotationX(MathHelper.PiOver2) * Matrix.CreateRotationZ(MathHelper.Pi - angle); } That part works just fine. After five seconds of this, I want the enemy to turn inward, facing the center point. However, I've been trying to lerp to that point, since I don't want it to simply jump to the new rotation. Here's my code for trying to do that: else { float newAngle = -1 * (float)Math.Atan((0 - position.X) / (0 - position.Y)); angle = MathHelper.Lerp(angle, newAngle, (float)gameTime.ElapsedGameTime.Milliseconds / 1000); if (0 < position.Y) RotationMatrix = Matrix.CreateRotationX(MathHelper.PiOver2) * Matrix.CreateRotationZ(MathHelper.Pi - angle); else RotationMatrix = Matrix.CreateRotationX(MathHelper.PiOver2) * Matrix.CreateRotationZ(-1 * angle); } That doesn't work so fine. It seems like it's going to at first, but then it just sort of skips around. How can I achieve what I want here?

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• Client side prediction/simulation Question

  - by Legendre

  I found a related question but it doesn't have what I needed. Client A sends input to move at T0. Server receives input at T1. All clients receive the change at T2. Question: With client-side prediction, client A would start moving at T0, client-side. All other clients receive the change at T2, so to them, client A only started moving at T2. If I understand correctly, client B will always see client A's past position and not his current position? How do I sync both client B and client A?

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• 3d Model Scaling With Camera

  - by spasarto

  I have a very simple 3D maze program that uses a first person camera to navigate the maze. I'm trying to scale the blocks that make up the maze walls and floor so the corridors seem more roomy to the camera. Every time I scale the model, the camera seems to scale with it, and the corridors always stay the same width. I've tried apply the scale to the model in the content pipe (setting the scale property of the model in the properties window in VS). I've also tried to apply the scale using Matrix.CreateScale(float) using the Scale-Rotate-Transform order with the same result. If I leave the camera speed the same, the camera moves slower, so I know it's traversing a larger distance, but the world doesn't look larger; the camera just seems slower. I'm not sure what part of the code to include since I don't know if it is an issue with my model, camera, or something else. Any hints at what I'm doing wrong? Camera: Projection = Matrix.CreatePerspectiveFieldOfView( MathHelper.PiOver4, _device.Viewport.AspectRatio, 1.0f, 1000.0f ); Matrix camRotMatrix = Matrix.CreateRotationX( _cameraPitch ) * Matrix.CreateRotationY( _cameraYaw ); Vector3 transCamRef = Vector3.Transform( _cameraForward, camRotMatrix ); _cameraTarget = transCamRef + CameraPosition; Vector3 camRotUpVector = Vector3.Transform( _cameraUpVector, camRotMatrix ); View = Matrix.CreateLookAt( CameraPosition, _cameraTarget, camRotUpVector ); Model: World = Matrix.CreateTranslation( Position );

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• How does opengl-es 2 assemble primitives?

  - by stephelton

  Two things I'm quite confused about. 1) OpenGL ES 2.0 creates primitives before the vertex shader is invoked. Why, then, does it not automatically provide the vertex shader the position of the vertex? 2) OpenGL ES 2.0 supports glDrawElements(), but it does not support glEnableClientState() or GL_VERTEX_ARRAY, so how can this call possibly be used to construct primitives? NOTE: this is OpenGL ES 2.0, NOT normal OpenGL! Thanks!

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• Opengl + SDL linking error

  - by me2loveit2

  I am trying to load an image as a texture with opengl using c++ in visual studio 2010. I researched a couple hours online and found the SDL library, then I implemented a simple example and got some linking error I can not seem to figure out. The error log is here: 1Build started 10/20/2012 12:09:17 AM. 1InitializeBuildStatus: 1 Touching "Debug\texture mapping test.unsuccessfulbuild". 1ClCompile: 1 All outputs are up-to-date. 1 texture mapping test.cpp 1ManifestResourceCompile: 1 All outputs are up-to-date. 1texture mapping test.obj : error LNK2019: unresolved external symbol _IMG_Load referenced in function "void __cdecl display(void)" (?display@@YAXXZ) 1MSVCRTD.lib(crtexe.obj) : error LNK2019: unresolved external symbol main referenced in function __tmainCRTStartup 1C:\Users\Me\Documents\Visual Studio 2010\Projects\Programming projects\texture mapping test\Debug\texture mapping test.exe : fatal error LNK1120: 2 unresolved externals 1 1Build FAILED. 1 1Time Elapsed 00:00:02.45 ========== Build: 0 succeeded, 1 failed, 0 up-to-date, 0 skipped ========== Can someone please help me!! I am at a desperate point right now. I downloaded the SDL, and copied all the .h file into: C:\Program Files (x86)\Microsoft SDKs\Windows\v7.0A\Include I added the .lib (x86) files into://as a not i tried the (x64) file too but got the exact same error C:\Program Files (x86)\Microsoft SDKs\Windows\v7.0A\Lib and the .dll(x86) into: C:\Windows\System32 For implementing textures, I used the simple sample code from: http://www.sdltutorials.com/sdl-tip-sdl-surface-to-opengl-texture Please let me know if you can see me doing something wrong, or know how I can fix this!! Thanks Phil

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• List<T>.AddRange is causing a brief Update/Draw delay

  - by Justin Skiles

  I have a list of entities which implement an ICollidable interface. This interface is used to resolve collisions between entities. My entities are thus: Players Enemies Projectiles Items Tiles On each game update (about 60 t/s), I am clearing the list and adding the current entities based on the game state. I am accomplishing this via: collidableEntities.Clear(); collidableEntities.AddRange(players); collidableEntities.AddRange(enemies); collidableEntities.AddRange(projectiles); collidableEntities.AddRange(items); collidableEntities.AddRange(camera.VisibleTiles); Everything works fine until I add the visible tiles to the list. The first ~1-2 seconds of running the game loop causes a visible hiccup that delays drawing (so I can see a jitter in the rendering). I can literally remove/add the line that adds the tiles and see the jitter occur and not occur, so I have narrowed it down to that line. My question is, why? The list of VisibleTiles is about 450-500 tiles, so it's really not that much data. Each tile contains a Texture2D (image) and a Vector2 (position) to determine what is rendered and where. I'm going to keep looking, but from the top of my head, I can't understand why only the first 1-2 seconds hiccups but is then smooth from there on out. Any advice is appreciated.

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• Using NumPy arrays as 2D mathematical vectors?

  - by CorundumGames

  Right now I'm using lists as position, velocity, and acceleration vectors in my game. Is that a better option than using NumPy's arrays (not the standard library's) as vectors (with float data types)? I'm frequently adding vectors and changing their values directly, then placing the values in these vectors into a Pygame Rect. The vector is used for position (because Rects can't hold floats, so we can't go "between" pixels), and the Rect is used for rendering (because Pygame will only take in Rects for rendering positions).

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• keyPressed is not working after adding ActionListener to JButton

  - by Yehonatan

  I have a serious problem while trying to build a menu for my game. I've added two JButton to a main JPanel and added an ActionListener for each of them. The main JPanel also contains the game JPanel which have the keyPressed method inside keyController. That's how it looks - Main -       JPanel -         JButton, JButton,         JPanel which contains the game and keyPressed function inside KeyController class which worked fine before I added the ActionListener for JButton. For some reason after I added an ActionListener for each of the button, the game JPanel is not getting any keyPreseed events nor KeyRealesed. Does anyone know the solution for my situation? Thank you very much! Main window - Scanner in = new Scanner(System.in); JFrame f = new JFrame("Square V.S Circles"); f.setUndecorated(true); f.setResizable(false); f.setDefaultCloseOperation(JFrame.DISPOSE_ON_CLOSE); f.add(new JPanelHandler()); f.pack(); f.setVisible(true); f.setLocationRelativeTo(null); JPanelHandler(main JPanel) - super.setFocusable(true); JButton mybutton = new JButton("Quit"); JButton sayhi = new JButton("Say hi"); sayhi.addActionListener(new ActionListener() { @Override public void actionPerformed(ActionEvent e) { System.out.println("Hi"); } }); mybutton.addActionListener(new ActionListener() { @Override public void actionPerformed(ActionEvent e) { System.exit(0); } }); add(mybutton); add(sayhi); add(new Board(2)); Board KeyController(The code inside is working so it's unnecessary to put it here) - private class KeyController extends KeyAdapter { public KeyController() { ..Code } @Override public void keyPressed(KeyEvent e) { ...Code } @Override public void keyReleased(KeyEvent e){ ...Code } }

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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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• Why do we use the Pythagorean theorem in game physics?

  - by Starkers

  I've recently learned that we use Pythagorean theorem a lot in our physics calculations and I'm afraid I don't really get the point. Here's an example from a book to make sure an object doesn't travel faster than a MAXIMUM_VELOCITY constant in the horizontal plane: MAXIMUM_VELOCITY = <any number>; SQUARED_MAXIMUM_VELOCITY = MAXIMUM_VELOCITY * MAXIMUM_VELOCITY; function animate(){ var squared_horizontal_velocity = (x_velocity * x_velocity) + (z_velocity * z_velocity); if( squared_horizontal_velocity <= SQUARED_MAXIMUM_VELOCITY ){ scalar = squared_horizontal_velocity / SQUARED_MAXIMUM_VELOCITY; x_velocity = x_velocity / scalar; z_velocity = x_velocity / scalar; } } Let's try this with some numbers: An object is attempting to move 5 units in x and 5 units in z. It should only be able to move 5 units horizontally in total! MAXIMUM_VELOCITY = 5; SQUARED_MAXIMUM_VELOCITY = 5 * 5; SQUARED_MAXIMUM_VELOCITY = 25; function animate(){ var x_velocity = 5; var z_velocity = 5; var squared_horizontal_velocity = (x_velocity * x_velocity) + (z_velocity * z_velocity); var squared_horizontal_velocity = 5 * 5 + 5 * 5; var squared_horizontal_velocity = 25 + 25; var squared_horizontal_velocity = 50; // if( squared_horizontal_velocity <= SQUARED_MAXIMUM_VELOCITY ){ if( 50 <= 25 ){ scalar = squared_horizontal_velocity / SQUARED_MAXIMUM_VELOCITY; scalar = 50 / 25; scalar = 2.0; x_velocity = x_velocity / scalar; x_velocity = 5 / 2.0; x_velocity = 2.5; z_velocity = z_velocity / scalar; z_velocity = 5 / 2.0; z_velocity = 2.5; // new_horizontal_velocity = x_velocity + z_velocity // new_horizontal_velocity = 2.5 + 2.5 // new_horizontal_velocity = 5 } } Now this works well, but we can do the same thing without Pythagoras: MAXIMUM_VELOCITY = 5; function animate(){ var x_velocity = 5; var z_velocity = 5; var horizontal_velocity = x_velocity + z_velocity; var horizontal_velocity = 5 + 5; var horizontal_velocity = 10; // if( horizontal_velocity >= MAXIMUM_VELOCITY ){ if( 10 >= 5 ){ scalar = horizontal_velocity / MAXIMUM_VELOCITY; scalar = 10 / 5; scalar = 2.0; x_velocity = x_velocity / scalar; x_velocity = 5 / 2.0; x_velocity = 2.5; z_velocity = z_velocity / scalar; z_velocity = 5 / 2.0; z_velocity = 2.5; // new_horizontal_velocity = x_velocity + z_velocity // new_horizontal_velocity = 2.5 + 2.5 // new_horizontal_velocity = 5 } } Benefits of doing it without Pythagoras: Less lines Within those lines, it's easier to read what's going on ...and it takes less time to compute, as there are less multiplications Seems to me like computers and humans get a better deal without Pythagorean theorem! However, I'm sure I'm wrong as I've seen Pythagoras' theorem in a number of reputable places, so I'd like someone to explain me the benefit of using Pythagorean theorem to a maths newbie. Does this have anything to do with unit vectors? To me a unit vector is when we normalize a vector and turn it into a fraction. We do this by dividing the vector by a larger constant. I'm not sure what constant it is. The total size of the graph? Anyway, because it's a fraction, I take it, a unit vector is basically a graph that can fit inside a 3D grid with the x-axis running from -1 to 1, z-axis running from -1 to 1, and the y-axis running from -1 to 1. That's literally everything I know about unit vectors... not much :P And I fail to see their usefulness. Also, we're not really creating a unit vector in the above examples. Should I be determining the scalar like this: // a mathematical work-around of my own invention. There may be a cleverer way to do this! I've also made up my own terms such as 'divisive_scalar' so don't bother googling var divisive_scalar = (squared_horizontal_velocity / SQUARED_MAXIMUM_VELOCITY); var divisive_scalar = ( 50 / 25 ); var divisive_scalar = 2; var multiplicative_scalar = (divisive_scalar / (2*divisive_scalar)); var multiplicative_scalar = (2 / (2*2)); var multiplicative_scalar = (2 / 4); var multiplicative_scalar = 0.5; x_velocity = x_velocity * multiplicative_scalar x_velocity = 5 * 0.5 x_velocity = 2.5 Again, I can't see why this is better, but it's more "unit-vector-y" because the multiplicative_scalar is a unit_vector? As you can see, I use words such as "unit-vector-y" so I'm really not a maths whiz! Also aware that unit vectors might have nothing to do with Pythagorean theorem so ignore all of this if I'm barking up the wrong tree. I'm a very visual person (3D modeller and concept artist by trade!) and I find diagrams and graphs really, really helpful so as many as humanely possible please!

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