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• How do I simplify a 2D game grid for level management while keeping its by-pixel features?

  - by Eric Thoma

  (I cross-posted this from StackOverflow as this seems to be a more appropriate forum. I've looked around a little here and I did not find an answer, so I hope this is not a recurring question.) This is a question dealing with 2D world design. I am playing around by creating a 2D bird's eye view shooter game, and I am looking to make the game sleek and advanced. I hope to be able to write physics so projectiles have momentum and knock-down properties. I am immediately running into the problem of world design. I need a way to have level files that store everything there is about a game. This is easiest by just having a grid of objects. But there are thin-walls and other objects that don't seem to fit into a traditional cell of a grid. I want to be able to fit all these together so I can streamline level design; so I don't have to put in the exact pixel-specific start and end of a wall. There doesn't seem to be an obvious translation from level file to game without forcing myself into a pacman-life scenario, meaning a scenario where the game feels boxy and discrete. There is a contrast between the smoothly (relatively) moving characters and finite jumps in a grid. I would appreciate an answer that would describe implementation options or point me to resources that do. I would also appreciate references to sites that teach game design. The language I am using is Java (although I would love to use C or C++, but I can never find convenient resources in those languages). Thank you for any answers. Please leave any questions in the space below; I will be able to answer them later tonight (28th Nov).

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• Box2D `ApplyLinearImpulse` is not working whereas `SetLinearVelocity` works

  - by Narek

  I need to mimic jumping behavior for the player in my game. Player consists of two fixtures with circle and rectangle shapes. Rectangle I use to detect ground and it is a sensor. Is some point for jumping I do this: float impulseY = body->GetMass() * PLAYER_JUMPING_VEOCITY / PTM_RATIO * std::sin(PLAYER_JUMPING_ANGLE * PI / 180); body->ApplyLinearImpulse(b2Vec2(0, impulseY), body->GetWorldCenter(), true); and player does not jump. But when I do this: body->SetLinearVelocity(b2Vec2(0, PLAYER_JUMPING_VEOCITY / PTM_RATIO * std::sin(PLAYER_JUMPING_ANGLE * PI / 180))); my player jumps. Also when I change the rectangle shape to be normal (not sensor) shape, its works again. Why? Just in case here are the parameters of my rectangular sensor: b2PolygonShape boxShape; boxShape.SetAsBox(width * 0.5/2/PTM_RATIO, height * 0.2/2/PTM_RATIO, b2Vec2(0, -height * 0.4 /PTM_RATIO), 0); b2FixtureDef boxFixtureDef; boxFixtureDef.friction = 0; boxFixtureDef.restitution = 0; boxFixtureDef.density = 1; boxFixtureDef.isSensor = true; boxFixtureDef.userData = static_cast<void*>(PLAYER_GROUP);

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• iOS + cocos2d: how to account for sprite's position for the different device dimensions in an universal app?

  - by fuzzlog

  All the questions I've seen regarding iOS universal apps (with or without cocos2d) deal with the "how to add graphics to a universal app". My question is, how does the code need to be written to ensure that the sprites appear appropriately on the screen (given that an iPhone 5's resolution is not proportional to an iPad's resolution)? Is it just a bunch of "if" statements and duplicate code or do iOS/cocos2d provide common function calls that will place the sprites at an appropriate position?

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• Developing an AI opponent for Monopoly

  - by Bernhard Zürn

  i want to develop an AI opponent for the Board Game Monopoly. I want to implement the whole Game with Prolog (XPCE). The probability for a field on the Board being hit, can be computed with Markov Chains. I already know some "best practices" like "after 50% of the playing time it does not make sense to buy out of jail because in jail you get renting fees for your fields but you don't have to pay for other fields as long as you stay in prison". The interesting question always is: buy a streetfield ? buy houses / hotels ? how much ? so i think i would have to compute some kind of future liquidity .. does anyone know how to pack that into an algorithm or how to translate it to prolog ?

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• Accounting for waves when doing planar reflections

  - by CloseReflector

  I've been studying Nvidia's examples from the SDK, in particular the Island11 project and I've found something curious about a piece of HLSL code which corrects the reflections up and down depending on the state of the wave's height. Naturally, after examining the brief paragraph of code: // calculating correction that shifts reflection up/down according to water wave Y position float4 projected_waveheight = mul(float4(input.positionWS.x,input.positionWS.y,input.positionWS.z,1),g_ModelViewProjectionMatrix); float waveheight_correction=-0.5*projected_waveheight.y/projected_waveheight.w; projected_waveheight = mul(float4(input.positionWS.x,-0.8,input.positionWS.z,1),g_ModelViewProjectionMatrix); waveheight_correction+=0.5*projected_waveheight.y/projected_waveheight.w; reflection_disturbance.y=max(-0.15,waveheight_correction+reflection_disturbance.y); My first guess was that it compensates for the planar reflection when it is subjected to vertical perturbation (the waves), shifting the reflected geometry to a point where is nothing and the water is just rendered as if there is nothing there or just the sky: Now, that's the sky reflecting where we should see the terrain's green/grey/yellowish reflection lerped with the water's baseline. My problem is now that I cannot really pinpoint what is the logic behind it. Projecting the actual world space position of a point of the wave/water geometry and then multiplying by -.5f, only to take another projection of the same point, this time with its y coordinate changed to -0.8 (why -0.8?). Clues in the code seem to indicate it was derived with trial and error because there is redundancy. For example, the author takes the negative half of the projected y coordinate (after the w divide): float waveheight_correction=-0.5*projected_waveheight.y/projected_waveheight.w; And then does the same for the second point (only positive, to get a difference of some sort, I presume) and combines them: waveheight_correction+=0.5*projected_waveheight.y/projected_waveheight.w; By removing the divide by 2, I see no difference in quality improvement (if someone cares to correct me, please do). The crux of it seems to be the difference in the projected y, why is that? This redundancy and the seemingly arbitrary selection of -.8f and -0.15f lead me to conclude that this might be a combination of heuristics/guess work. Is there a logical underpinning to this or is it just a desperate hack? Here is an exaggeration of the initial problem which the code fragment fixes, observe on the lowest tessellation level. Hopefully, it might spark an idea I'm missing. The -.8f might be a reference height from which to deduce how much to disturb the texture coordinate sampling the planarly reflected geometry render and -.15f might be the lower bound, a security measure.

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• Html5 games, what is the standard dimension to use?

  - by aoi

  I am trying to make html5 games to be played on the browser(not offline apps), and I am trying to support the maximum number of platforms, hence I need to know what dimension should I use for the game canvas so that it works in the most number of places. Also is there anyway to "scale" a large game to fit in the tiny size of iphone(around 320x356px I think). By "scale" I don't mean to actually resize just the canvas, as because that can mess up the coordinate based calculations, and for a large number of objects, re-positioning based on canvas size can be a real hassle.

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• Problem with Update(GameTime) Methods and Pause implementation

  - by Adam

  I have the pause function implemented and it works correctly in that it dims the player screen and stops updating the gameplay. The problem is that GameTime continues to increase while it is paused, so my method that checks gameTime versus previousSpawnTime before spawning another enemy gets messed up and if the game is paused too long it is noticeable that the next enemy draws far too early. Here is my code for the enemy update. private void UpdateEnemies(GameTime gameTime) { // Spawn a new enemy every 1.5 seconds if (gameTime.TotalGameTime - previousSpawnTime > enemySpawnTime) { previousSpawnTime = gameTime.TotalGameTime; // Add an Enemy AddEnemy(); } ... I also have other methods that depend on gameTime. I've tried getting the total pause time and subtracting that from the total game time, but I can't seem to get it to work correctly if that is the way I should go about solving this. If you need to see any other code let me know. Thank you.

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• How can I imitate interaction and movement in Diablo II?

  - by user422318

  I'm prototyping a simple browser-based game. It's played from a top down perspective on a 2d canvas. You left-click on a point on the map, and your character will begin walking to it. If you click on a different point on the map, then your character will begin walking to the new point. It's similar to Diablo II: http://www.youtube.com/watch?v=EvDKt-To6K0&feature=related How can I best imitate this movement system for a player? Ideas... Track current coords and target coords If target coords are exactly up, left, right, or down, then increment appropriate direction until you get there Implied else: target coords are in a quadrant. To make this movement look natural, character will have to move diagonally. For example, pretend the target is to the northeast. For each game frame, alternate incrementing current coordinates in the north and then east directions.

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• What library should I use for 2D Geometry? [closed]

  - by Luka

  I've been working on a 2D game in java, but found that java just didn't cut it for me and had forced me to a lot of bad design choices, so I've decided to port all my work to c++. The main reason I've decided change to c++ is that i had reached a point where i had 3 geometry libraries (the native, one from the game engine and one to handle "complex" polygons), none of witch worked very well together and i couldn't keep track of them. I'm new to c++, but i know all the basics. My question is, what would be a good geometry library to use, ideally it should be able to handle integer and decimal data types, have point, line, and polygon classes witch are able to check for intersection and contains. Thanks in advance, Luka

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• How do I create weapon attachments?

  - by Tron86

  My question is; I am developing a game for XNA and I am trying to create a weapon attachment for my player model. My player model loads the .md3 format and reads tags for attachment points. I am able to get the tag of my model's hand. And I am also able to get the tag of my weapon's handle. Each tag I am able to get the rotation and position of and this is how I am calculating it: Model.worldMatrix = Matrix.CreateScale(Model.scale) * Matrix.CreateRotationX(-MathHelper.PiOver2) * Matrix.CreateRotationY(MathHelper.PiOver2); Pretty simple, the player model has a scale and its orientation(it loads on its side so I just use a 90 degree X axis rotation, and a Y axis rotation to face away from the camera). I then calculate the torso tag on the lower body, which gives me a local coordinate at the waist. Then I take that matrix and calculate the tag_weapon in the upper body. This gives me the hand position in local space. I also get the rotation matrix from that tag that I store for later use. All this seems to work fine. Now I move onto my weapon: Matrix weaponWorld = Matrix.CreateScale(CurrentWeapon.scale) * Matrix.CreateRotationX(-MathHelper.PiOver2) * TagRotationMatrix * Matrix.CreateTranslation(HandTag.Position) * Matrix.CreateRotationY(PlayerRotation) * Matrix.CreateTranslation(CollisionBody.Position) * You may notice the weapon matrix gets rotated by 90 degress on the X axis as well. This is because they load in on their sides. Once again this seems pretty simple and follows the SRT order I keep reading about. My TagRotation matrix is the hand's rotation. HandTag.Position is its position in local space. CreateRotationY(PlayerRotation) is the player's rotation in world space, and the CollisionBody.Position is the player's world location. Everything seems to be in order, and almost works in game. However when the gun spawns and follows the player's hand it seems to be flipped on an axis every couple frames. Almost like the X or Y axis is being inversed then put right back. Its hard to explain and I am totally stumped. Even removing all my X axis fixes does nothing to solve the problem. Hopefully I explained everything enough as I am a bit new to this! Thanks!

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• Re-sizing the form without scaling the GUI

  - by Bmoore

  I am writing a turn based strategy game in C#. My GUI implementation consists of class that extends Form containing a class that extends Panel. When I render the GUI I draw to the paint method in the panel. I am trying to figure out what is the best way for handling form re-size events. I know I want a minimum window size, but I would prefer to not have a maximum or a set size. Ideally the GUI would reveal more/less of the map as the user changes the window size. I would like to avoid scaling the graphics if at all possible. What is the best way to handle re-size events?

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• How can I improve the "smoothness" of a 2D side-scrolling iPhone game?

  - by MrDatabase

  I'm working on a relatively simple 2D side-scrolling iPhone game. The controls are tilt-based. I use OpenGL ES 1.1 for the graphics. The game state is updated at a rate of 30 Hz... And the drawing is updated at a rate of 30 fps (via NSTimer). The smoothness of the drawing is ok... But not quite as smooth as a game like iFighter. What can I do to improve the smoothness of the game? Here are the potential issues I've briefly considered: I'm varying the opacity of up to 15 "small" (20x20 pixels) textures at a time... Apparently varying the opacity in this manner can degrade drawing performance I'm rendering at only 30 fps (via NSTimer)... Perhaps 2D games like iFighter are rendered at a higher frame rate? Perhaps the game state could be updated at a faster rate? Note the acceleration vales are updated at 100 Hz... So I could potentially update part of the game state at 100 hz All of my textures are PNG24... Perhaps PNG8 would help (due to smaller size etc)

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• Understanding the Microsoft Permissive License

  - by cable729

  I want to use certain parts of the Game State Management Example in a game I'm making, but I'm not sure how to do this legally. It says in the license that I'm supposed to include a copy of the license with it. So if I make a Visual Studio Solution, I just add the license.txt to the solution? Also, if I use a class and change it, do I have to keep the license info at the top or add that I changed it or what?

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• rotate opengl mesh relative to camera

  - by shuall

  I have a cube in opengl. It's position is determined by multiplying it's specific model matrix, the view matrix, and the projection matrix and then passing that to the shader as per this tutorial (http://www.opengl-tutorial.org/beginners-tutorials/tutorial-3-matrices/). I want to rotate it relative to the camera. The only way I can think of getting the correct axis is by multiplying the inverse of the model matrix (because that's where all the previous rotations and tranforms are stored) times the view matrix times the axis of rotation (x or y). I feel like there's got to be a better way to do this like use something other than model, view and projection matrices, or maybe I'm doing something wrong. That's what all the tutorials I've seen use. PS I'm also trying to keep with opengl 4 core stuff. edit: If quaternions would fix my problems, could someone point me to a good tutorial/example for switching from 4x4 matrices to quaternions. I'm a little daunted by the task.

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• Wall avoidance steering

  - by Vodemki

  I making a small steering simulator using the reynolds boid algorythm. Now I want to add a wall avoidance feature. My walls are in 3D and defined using two points like that: ---------. P2 | | P1 .--------- My agents have a velocity, a position, etc... Could you tell me how to make avoidance with my agents ? Vector2D ReynoldsSteeringModel::repulsionFromWalls() { Vector2D force; vector<Wall *> wallsList = walls(); Point2D pos = self()->position(); Vector2D velocity = self()->velocity(); for (unsigned i=0; i<wallsList.size(); i++) { //TODO } return force; } Then I use all the forces returned by my boid functions and I apply it to my agent. I just need to know how to do that with my walls ? Thanks for your help.

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• Where i must put .xnb files in mono game project using VS2010?

  - by user23899

  Hello there my problem was describe below In the "The Content Pipeline" paragraph http://blogs.msdn.com/b/bobfamiliar/archive/2012/08/07/windows-8-xna-and-monogame-part-3-code-migration-and-windows-8-feature-support.aspx#comments Author describe how fix it using VS2012 put xnb files to \AppX\Content folder but i use VS2010 and mono game templates for it and there is no folders like this so where i must put this asstes to run game correctly

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• Why wont the LibGDX's main class Initialize on Android Launcher?

  - by BluFire

  So I was searching for different ways that could suit me in programming and came across LibGDX. Naturally I looked at the tutorial. As I was doing it, I was following the steps word for word, except naming the classes. In the end, I was able to create the desktop launcher for the game but not the android launcher. The following error is my error: Cannot instantiate the type Game (Game is the name of the class) I got the tutorial from http://steigert.blogspot.com.au/2012/02/1-libgdx-tutorial-introduction.html The link in the tutorial is the original but it uses jogl instead of lwjgl.

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• Are there any OpenGL ES 2.0 examples for JOGL?

  - by fjdutoit

  I've scoured the internet for the last few hours looking for an example of how to run even the most basic OpenGL ES 2 example using JOGL but "by Jupiter!" it has been a total fail. I tried converting the android example from the OpenGL ES 2.0 Programming Guide examples (and at the same time looking at the WebGL example -- which worked fine) yet without any success. Are there any examples out there? If anyone else wants some extra help regarding this question see this thread on the official Jogamp forum.

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• Models from 3ds max lose their transformations when input into XNA

  - by jacobian

  I am making models in 3ds max. However when I export them to .fbx format and then input them into XNA, they lose their scaling. -It is most likely something to do with not using the transforms from the model correctly, is the following code correct -using xna 3.0 Matrix[] transforms=new Matrix[playerModel.Meshes.Count]; playerModel.CopyAbsoluteBoneTransformsTo(transforms); // Draw the model. int count = 0; foreach (ModelMesh mesh in playerModel.Meshes) { foreach (BasicEffect effect in mesh.Effects) { effect.World = transforms[count]* Matrix.CreateScale(scale) * Matrix.CreateRotationX((float)MathHelper.ToRadians(rx)) * Matrix.CreateRotationY((float)MathHelper.ToRadians(ry)) * Matrix.CreateRotationZ((float)MathHelper.ToRadians(rz))* Matrix.CreateTranslation(position); effect.View = view; effect.Projection = projection; effect.EnableDefaultLighting(); } count++; mesh.Draw(); }

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• Light on every model and not in the whole scene

  - by alecnash

  I am using a custom shader and try to pass the effect on my Models like that: foreach (ModelMesh mesh in Model.Meshes) { foreach (ModelMeshPart part in mesh.MeshParts) { part.Effect = effect; } mesh.Draw(); } My only issue is that every Model now has its own light source in it. Why is this happening and is this a problem of my shader? Edit: These are the parameters passed to the shader: private void Get_lambertEffect() { if (_lambertEffect == null) _lambertEffect = Engine.LambertEffect; //Lambert technique (LambertWithShadows, LambertWithShadows2x2PCF, LambertWithShadows3x3PCF) _lambertEffect.CurrentTechnique = _lambertEffect.Techniques["LambertWithShadows3x3PCF"]; _lambertEffect.Parameters["texelSize"].SetValue(Engine.ShadowMap.TexelSize); //ShadowMap parameters _lambertEffect.Parameters["lightViewProjection"].SetValue(Engine.ShadowMap.LightViewProjectionMatrix); _lambertEffect.Parameters["textureScaleBias"].SetValue(Engine.ShadowMap.TextureScaleBiasMatrix); _lambertEffect.Parameters["depthBias"].SetValue(Engine.ShadowMap.DepthBias); _lambertEffect.Parameters["shadowMap"].SetValue(Engine.ShadowMap.ShadowMapTexture); //Camera view and projection parameters _lambertEffect.Parameters["view"].SetValue(Engine._camera.ViewMatrix); _lambertEffect.Parameters["projection"].SetValue(Engine._camera.ProjectionMatrix); _lambertEffect.Parameters["world"].SetValue( Matrix.CreateScale(Size) * world ); //Light and color _lambertEffect.Parameters["lightDir"].SetValue(Engine._sourceLight.Direction); _lambertEffect.Parameters["lightColor"].SetValue(Engine._sourceLight.Color); _lambertEffect.Parameters["materialAmbient"].SetValue(Engine.Material.Ambient); _lambertEffect.Parameters["materialDiffuse"].SetValue(Engine.Material.Diffuse); _lambertEffect.Parameters["colorMap"].SetValue(ColorTexture.Create(Engine.GraphicsDevice, Color.Red)); }

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• Soccer Game only with National Team names (country names) what about player names? [duplicate]

  - by nightkarnation

  This question already has an answer here: Legal issues around using real players names and team emblems in an open source game 2 answers Ok...this question hasn't been asked before, its very similar to some, but here's the difference: I am making a soccer/football simulator game, that only has national teams (with no official logos) just the country names and flags. Now, my doubt is the following...can I use real player names (that play or played on that national team?) From what I understand if I use a player name linked to a club like Barcelona FC (not a national team) I need the right from the club and the association that club is linked to, right? But If I am only linking the name just to a country...I might just need the permission of the actual player (that I am using his name) and not any other associations, correct? Thanks a lot in advance! Cheers, Diego.

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• Java chunk negative number problem

  - by user1990950

  I've got a tile based map, which is divided in chunks. I got a method, which puts tiles in this map and with positive numbers it's working. But when using negative numbers it wont work. This is my setTile method: public static void setTile(int x, int y, Tile tile) { int chunkX = x / Chunk.CHUNK_SIZE, chunkY = y / Chunk.CHUNK_SIZE; IntPair intPair = new IntPair(chunkX, chunkY); world.put(intPair, new Chunk(chunkX, chunkY)); world.get(intPair).setTile(x - chunkX * Chunk.CHUNK_SIZE, y - chunkY * Chunk.CHUNK_SIZE, tile); } This is the setTile method in the chunk class (CHUNK_SIZE is a constant with the value 64): public void setTile(int x, int y, Tile t) { if (x >= 0 && x < CHUNK_SIZE && y >= 0 && y < CHUNK_SIZE) tiles[x][y] = t; } What's wrong with my code?

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• Circular class dependency

  - by shad0w

  Is it bad design to have 2 classes which need each other? I'm writing a small game in which I have a GameEngine class which has got a few GameState objects. To access several rendering methods, these GameState objects also need to know the GameEngine class - so it's a circular dependency. Would you call this bad design? I am just asking, because I am not quite sure and at this time I am still able to refactor these things.

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• How to Point sprite's direction towards Mouse or an Object [duplicate]

  - by Irfan Dahir

  This question already has an answer here: Rotating To Face a Point 1 answer I need some help with rotating sprites towards the mouse. I'm currently using the library allegro 5.XX. The rotation of the sprite works but it's constantly inaccurate. It's always a few angles off from the mouse to the left. Can anyone please help me with this? Thank you. P.S I got help with the rotating function from here: http://www.gamefromscratch.com/post/2012/11/18/GameDev-math-recipes-Rotating-to-face-a-point.aspx Although it's by javascript, the maths function is the same. And also, by placing: if(angle < 0) { angle = 360 - (-angle); } doesn't fix it. The Code: #include <allegro5\allegro.h> #include <allegro5\allegro_image.h> #include "math.h" int main(void) { int width = 640; int height = 480; bool exit = false; int shipW = 0; int shipH = 0; ALLEGRO_DISPLAY *display = NULL; ALLEGRO_EVENT_QUEUE *event_queue = NULL; ALLEGRO_BITMAP *ship = NULL; if(!al_init()) return -1; display = al_create_display(width, height); if(!display) return -1; al_install_keyboard(); al_install_mouse(); al_init_image_addon(); al_set_new_bitmap_flags(ALLEGRO_MIN_LINEAR | ALLEGRO_MAG_LINEAR); //smoother rotate ship = al_load_bitmap("ship.bmp"); shipH = al_get_bitmap_height(ship); shipW = al_get_bitmap_width(ship); int shipx = width/2 - shipW/2; int shipy = height/2 - shipH/2; int mx = width/2; int my = height/2; al_set_mouse_xy(display, mx, my); event_queue = al_create_event_queue(); al_register_event_source(event_queue, al_get_mouse_event_source()); al_register_event_source(event_queue, al_get_keyboard_event_source()); //al_hide_mouse_cursor(display); float angle; while(!exit) { ALLEGRO_EVENT ev; al_wait_for_event(event_queue, &ev); if(ev.type == ALLEGRO_EVENT_KEY_UP) { switch(ev.keyboard.keycode) { case ALLEGRO_KEY_ESCAPE: exit = true; break; /*case ALLEGRO_KEY_LEFT: degree -= 10; break; case ALLEGRO_KEY_RIGHT: degree += 10; break;*/ case ALLEGRO_KEY_W: shipy -=10; break; case ALLEGRO_KEY_S: shipy +=10; break; case ALLEGRO_KEY_A: shipx -=10; break; case ALLEGRO_KEY_D: shipx += 10; break; } }else if(ev.type == ALLEGRO_EVENT_MOUSE_AXES) { mx = ev.mouse.x; my = ev.mouse.y; angle = atan2(my - shipy, mx - shipx); } // al_draw_bitmap(ship,shipx, shipy, 0); //al_draw_rotated_bitmap(ship, shipW/2, shipH/2, shipx, shipy, degree * 3.142/180,0); al_draw_rotated_bitmap(ship, shipW/2, shipH/2, shipx, shipy,angle, 0); //I directly placed the angle because the allegro library calculates radians, and if i multiplied it by 180/3. 142 the rotation would go hawire, not would, it actually did. al_flip_display(); al_clear_to_color(al_map_rgb(0,0,0)); } al_destroy_bitmap(ship); al_destroy_event_queue(event_queue); al_destroy_display(display); return 0; } EDIT: This was marked duplicate by a moderator. I'd like to say that this isn't the same as that. I'm a total beginner at game programming, I had a view at that other topic and I had difficulty understanding it. Please understand this, thank you. :/ Also, while I was making a print of what the angle is I got this... Here is a screenshot:http://img34.imageshack.us/img34/7396/fzuq.jpg Which is weird because aren't angles supposed to be 360 degrees only?

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• Do I need the 'w' component in my Vector class?

  - by bobobobo

  Assume you're writing matrix code that handles rotation, translation etc for 3d space. Now the transformation matrices have to be 4x4 to fit the translation component in. However, you don't actually need to store a w component in the vector do you? Even in perspective division, you can simply compute and store w outside of the vector, and perspective divide before returning from the method. For example: // post multiply vec2=matrix*vector Vector operator*( const Matrix & a, const Vector& v ) { Vector r ; // do matrix mult r.x = a._11*v.x + a._12*v.y ... real w = a._41*v.x + a._42*v.y ... // perspective divide r /= w ; return r ; } Is there a point in storing w in the Vector class?

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