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  • How does this snippet of code create a ray direction vector?

    - by Isaac Waller
    In the Minecraft source code, this code is used to create a direction vector for a ray from pitch and yaw:' float f1 = MathHelper.cos(-rotationYaw * 0.01745329F - 3.141593F); float f3 = MathHelper.sin(-rotationYaw * 0.01745329F - 3.141593F); float f5 = -MathHelper.cos(-rotationPitch * 0.01745329F); float f7 = MathHelper.sin(-rotationPitch * 0.01745329F); return Vec3D.createVector(f3 * f5, f7, f1 * f5); I was wondering how it worked, and what is the constant 0.01745329F?

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  • Rendering scaled-down card images

    - by user1065145
    I have high-quality SVG card images, but they drastically lose their quality when I downsize them. I have tried two ways of rendering cards (using Inkscape and Imagemagics): 1) Render SVG to high-res PNG and resize it then: inkscape -D --export-png=QS1024.png --export-width=1024 QS.svg convert QS1024.png -filter Lanczos -sampling-factor 1x1 -resize 71x QS71.png 2) Render SVG to image of proper size at once: inkscape -D --export-png=QS71.png --export-width=71 QS.svg Both approaches generate blurry card images, which looks even worse than old Windows cards. What are the best way to generate smaller card images from SVG sources and not to loose their quality a lot? UPDATE: I am using Inkscape to render SVG - PNG and ImageMagick then to downsize PNG. I've tried using convert -resize with couple of filters (Lanczos/Mitchell/etc), but result was pretty much the same. Original: 71x raster:

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  • Tips for building an AI for a 2D racing game

    - by declique
    I have a school project to build an AI for a 2D racing game in which it will compete with several other AIs (no collision). We are given a black and white bitmap image of the racing track, we are allowed to choose basic stats for our car (handling, acceleration, max speed and brakes) after we receive the map. The AI connects to the game's server and gives to it several times a second numbers for the current acceleration and steering. The language I chose is C++, by the way. The questions are: What is the best strategy or algorithm (since I want to try and win)? I currently have in mind some ideas found on the net and one or two of my own, but I would like before I start to code that my perspective is one of the best. What good books are there on that matter? What sites should I refer to?

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  • Creating Rectangle-based buttons with OnClick events

    - by Djentleman
    As the title implies, I want a Button class with an OnClick event handler. It should fire off connected events when it is clicked. This is as far as I've made it: public class Button { public event EventHandler OnClick; public Rectangle Rec { get; set; } public string Text { get; set; } public Button(Rectangle rec, string text) { this.Rec = rec; this.Text = text; } } I have no clue what I'm doing with regards to events. I know how to use them but creating them myself is another matter entirely. I've also made buttons without using events that work on a case-by-case basis. So basically, I want to be able to attach methods to the OnClick EventHandler that will fire when the Button is clicked (i.e., the mouse intersects Rec and the left mouse button is clicked).

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  • i am going to start learning to develop games, and have a very importent question

    - by levi s.
    so i am going to be starting to start learning to develop games soon, and i have already learned the basics of java. before i really go balls out. am i making a bad choice of language? should i stop now and move to c++ or c#? will that hinder me? is java going to hinder me worse? im kinda having regrets on saying "oh hey minecraft was made in java, it must be best!" im mainly asking, what should i do?

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  • My GLSL shader isn't compiling even though it should. What should I investigate?

    - by reapz
    I'm porting an iOS game to Android. One of the shaders I'm using wouldn't compile until I reduced the number of uniform variables. Here are the uniform definitions: uniform highp mat4 ViewProjMatrix; uniform mediump vec3 LightDirWorld; uniform mediump int BoneCount; uniform highp mat4 BoneMatrixArray[8]; uniform highp mat3 BoneMatrixArrayIT[8]; uniform mediump int LightCount; uniform mediump vec3 LightPos[4]; // This used to be 12, but now 4, next lines also uniform lowp vec3 LightColour[4]; uniform mediump vec3 LightInnerOuterFalloff[4]; My issue is that the GLSL shader wouldn't compile until I reduced the count of the above arrays from 12 to 4. My understanding is that if those 3 lines were arrays of 12 then I would be using 56 vertex uniform vectors. I query the system at startup (GL_MAX_VERTEX_UNIFORM_VECTORS) and it says that 128 are available. Why wouldn't it compile with 56? I'm having issues on the Kindle Fire.

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  • openGL managing images, VBOs and shaders

    - by roxlu
    I'm working on a game where I use shaders with vertex attributes (so not immediate mode). I'm drawing lots of images and changing the width/height of the quads I use to draw them a lot. To optimize this it's probably a good idea to have one buffer but then one needs to update the complete buffer when one image changes (or only a part of the buffer using glBufferSubData...) I was just wondering what kind of strategies you guys are using?

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  • Calc direction vector based on destination vector and distance from enemy in AS3

    - by Phil
    I'm working on a zombie game in AS3 where I want a character to be able to move away from a zombie depending upon how close the zombie is. The character also has a destination that it's trying to get too on the screen. Ok so I have 2 vectors, one pointing to my destination, and one pointing to the zombie which I then invert to get my "away" vector. I then turn the distance between my character and the zombie into a value between 0 and 1. And then I'm stuck on how to get a resultant vector for my character. How would I use my 0-1 value to calculate how much of the away vector is used and how much of the original destination vector is still left if that makes sense? to end up with 1 direction vector to move my character? So if the zombie is right where my character is, then my direction vector = away vector, and if I'm far away from the zombie than my direction vector = destination vector, but how do I calculate the in-between? Ideally need the answer in AS3.

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  • How to deal with animated doors in isometric tiles

    - by George Profenza
    I've got a tricky issue I'm not sure how to tackle best: I have an animated tile of a door. When it's closed it should be sorted one way, but when it's openend it will need to be sorted a different way, as it belonging to a different(neighbouring tile). Here's the door closed: and the door opened: I imagine it would be possible to override the sorting system for such tiles and adjust the sorting based on the frame, but it feels a bit hacky. Has anyone encountered a similar scenario ? Any elegant solutions ?

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  • Handling cameras in a large scale game engine

    - by Hannesh
    What is the correct, or most elegant, way to manage cameras in large game engines? Or should I ask, how does everybody else do it? The methods I can think of are: Binding cameras straight to the engine; if someone needs to render something, they bind their own camera to the graphics engine which is in use until another camera is bound. A camera stack; a small task can push its own camera onto the stack, and pop it off at the end to return to the "main" camera. Attaching a camera to a shader; Every shader has exactly one camera bound to it, and when the shader is used, that camera is set by the engine when the shader is in use. This allows me to implement a bunch of optimizations on the engine side. Are there other ways to do it?

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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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  • Open source management game in java

    - by jcw
    I am trying to find an open source sport management game, much like the link below, but am failing to do so. There are two links provided in the below question that are both fine,'except for one minor problem - I only know java! Is there an open source sports manager project? After some googling, I have been unsuccessful in finding a sports management game that is written in java. I am do not particullarly care about the type of sport, becuase I am mostly interested in mechanics. Does anyone know of any such projects or am I out of luck on java?

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  • 3D Texture Mapping (Atlas)

    - by Tim Hatch
    This is a pretty simple question. If I was to use multiple images in a single texture for a 3D cube, how would I go about re-using each vertex (having 8 total vs 24)? With a single buffer of 8 vertices, I don't see how I'd properly reuse the UV values. Any help on that? I know it's not terribly clear, but I figured it was a simple question. The 2D method is pretty easy, the next coordinates would be the same as the first (0,0 and 0,1 respectively). However, the above 3D version has me quite befuddled.

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  • Application toolkits like QT versus traditional game/multimedia libraries like SFML

    - by Aaron
    I currently intend to use SFML for my next game project. I'll need a substantial GUI though (RPG/strategy-type) so I'll either have to implement my own or try to find an appropriate third party library, which seem to boil down to CEGUI, libRocket, and GWEN. At the same time, I do not anticipate doing that many advanced graphical effects. My game will be 2D and primarily sprite-based with some sprite animations. I've recently discovered that QT applications can have their appearance styled so that they don't have to look like plain OS apps. Given that, I am beginning to consider QT a valid alternative to SFML. I wouldn't have to implement the GUI functionality I'd need, and I may not be taking advantage of SFML's lower-level access anyway. The only drawbacks I can think of immediately are the learning curve for QT and figuring out how to fit game logic inside such a framework after getting used to the input/update/render loop of traditional game libraries. When would an application toolkit like QT be more appropriate for a game than a traditional game or multimedia library like SFML?

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  • Alternative to NV Occlusion Query - getting the number of fragments which passed the depth test

    - by Etan
    In "modern" environments, the "NV Occlusion Query" extension provide a method to get the number of fragments which passed the depth test. However, on the iPad / iPhone using OpenGL ES, the extension is not available. What is the most performant approach to implement a similar behaviour in the fragment shader? Some of my ideas: Render the object completely in white, then count all the colors together using a two-pass shader where first a vertical line is rendered and for each fragment the shader computes the sum over the whole row. Then, a single vertex is rendered whose fragment sums all the partial sums of the first pass. Doesn't seem to be very efficient. Render the object completely in white over a black background. Downsample recursively, abusing the hardware linear interpolation between textures until being at a reasonably small resolution. This leads to fragments which have a greyscale level depending on the number of white pixels where in their corresponding region. Is this even accurate enough? ... ?

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  • Help with Strategy-game AI

    - by f20k
    Hi, I am developing a strategy-game AI (think: Final Fantasy Tactics), and I am having trouble coming up for the design of the AI. My main problem is determining which is the optimal thing for it to do. First let me describe the priority of what action I would like the AI to take: Kill nearest player unit Fulfill primary directive (kill all player units, kill target unit, survive for x turns) Heal ally unit / cast buffer Now the AI can do the following in its turn: Move - {Attack / Ability / Item} (either attack or ability or item) {Attack / Ability / Item} - Move Move closer (if targets not in range) {Attack / Ability / Item} (if move not available) Notes Abilities have various ranges / effects / costs / effects. Each ai unit has maybe 5-10 abilities to choose from. The AI will prioritize killing over safety unless its directive is to survive for x turns. It also doesn't care about ability cost much. While a player may want to save a big spell for later, the AI will most likely use it asap. Movement is on a (hex) grid num of player units: 3-6 num of ai units: 3-7 or more. Probably max 10. AI and player take turns controlling ONE unit, instead of all at the same time. Platform is Android (if program doesnt respond after some time, there will be a popup saying to Force Quit or Wait - which looks really bad!). Now comes the questions: The best ability to use would obviously be the one that hits the most targets for the most damage. But since each ability has different ranges, I won't know if they are in range without exploring each possible place I can move to. One solution would be to go through each possible places to move to, determine the optimal attack at that location - which gives me a list of optimal moves for each location. Then choose the optimal out of the list and execute it. But this will take a lot of CPU time. Is there a better solution? My current idea is to move as close as possible towards the closest, largest group of people, and determine the optimal attack/ability from there. I think this would be a lot less work for the CPU and still allow for wide-range attacks. Its sub-optimal but the AI will still seem 'smart'. Other notes/questions: Am I over-thinking/over-complicating it? Better solution? I am open to all sorts of suggestions I have taken a look at the spell-casting question, but it doesn't take into account the movement - so perhaps use that algo for each possible move location? The top answer mentioned it wasn't great for area-of-effect and group fights - so maybe requires more tweaking? Please, if you mention a graph/tree, let me know basically how to use it. E.g. Node means ability, level corresponds to damage, then search for the deepest node.

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  • Make OpenGL game perform better

    - by Csabi
    I have programmed an OpenGL game which just contains one F1 car and a track. It is very simple and only uses around of 10'000 - 20'000 triangles. It should run on any PC but it won't, it needs a really good graphics-card to run at a decent framerate. Can you write some methods or links to sites which would help me make my scene/game more efective? my game can be downloaded from here or directly from here

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  • How can I fix latency problems for car game?

    - by Freddy
    Basically I'm trying to make a online car racing game for IOS using Game Center real time multiplayer. I have setup a timer that sends data every 0.02 seconds to the other player with the current position and current angle. However sometimes, it will take LONGER then these 0.02 seconds for the package to be sent and then received. In this case i have implemented a method that "calculate" what the next position should be if no position is received based on the last position and angle. However, when the data then receives for let say 0.04 seconds after, it will change back to the last position, which will result in the car "jumping" back and lag. And If i just keep ignoring the data it will never take any input from the other user. Is their any way to prevent this? I suppose this needs to be fixed with some client-sided algorithm.

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  • libgdx draw issue and animation

    - by johnny-b
    it seems as though i cannot get the draw method to work??? it seems as though the bullet.draw(batcher) does not work and i cannot understand why as the bullet is a sprite. i have made a Sprite[] and added them as animation. could that be it? i tried batcher.draw(AssetLoader.bulletAnimation.getKeyFrame(runTime), bullet.getX(), bullet.getY(), bullet.getOriginX() / 2, bullet.getOriginY() / 2, bullet.getWidth(), bullet.getHeight(), 1, 1, bullet.getRotation()); but that dont work, the only way it draws is this batcher.draw(AssetLoader.bulletAnimation.getKeyFrame(runTime), bullet.getX(), bullet.getY()); below is the code. // this is in a Asset Class texture = new Texture(Gdx.files.internal("SpriteN1.png")); texture.setFilter(TextureFilter.Nearest, TextureFilter.Nearest); bullet1 = new Sprite(texture, 380, 350, 45, 20); bullet1.flip(false, true); bullet2 = new Sprite(texture, 425, 350, 45, 20); bullet2.flip(false, true); Sprite[] bullets = { bullet1, bullet2 }; bulletAnimation = new Animation(0.06f, bullets); bulletAnimation.setPlayMode(Animation.PlayMode.LOOP); // this is the GameRender class public class GameRender() { private Bullet bullet; private Ball ball; public GameRenderer(GameWorld world) { myWorld = world; cam = new OrthographicCamera(); cam.setToOrtho(true, 480, 320); batcher = new SpriteBatch(); // Attach batcher to camera batcher.setProjectionMatrix(cam.combined); shapeRenderer = new ShapeRenderer(); shapeRenderer.setProjectionMatrix(cam.combined); // Call helper methods to initialize instance variables initGameObjects(); initAssets(); } private void initGameObjects() { ball = GameWorld.getBall(); bullet = myWorld.getBullet(); scroller = myWorld.getScroller(); } private void initAssets() { ballAnimation = AssetLoader.ballAnimation; bulletAnimation = AssetLoader.bulletAnimation; } public void render(float runTime) { Gdx.gl.glClearColor(0, 0, 0, 1); Gdx.gl.glClear(GL30.GL_COLOR_BUFFER_BIT); batcher.begin(); // Disable transparency // This is good for performance when drawing images that do not require // transparency. batcher.disableBlending(); // The ball needs transparency, so we enable that again. batcher.enableBlending(); batcher.draw(AssetLoader.ballAnimation.getKeyFrame(runTime), ball.getX(), ball.getY(), ball.getWidth(), ball.getHeight()); batcher.draw(AssetLoader.bulletAnimation.getKeyFrame(runTime), bullet.getX(), bullet.getY()); // End SpriteBatch batcher.end(); } } // this is the gameworld class public class GameWorld { public static Ball ball; private Bullet bullet; private ScrollHandler scroller; public GameWorld() { ball = new Ball(480, 273, 32, 32); bullet = new Bullet(10, 10); scroller = new ScrollHandler(0); } public void update(float delta) { ball.update(delta); bullet.update(delta); scroller.update(delta); } public static Ball getBall() { return ball; } public ScrollHandler getScroller() { return scroller; } public Bullet getBullet() { return bullet; } } is there anyway so make the sprite work?

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  • Is it a good idea to use a formula to balance a game's complexity, in order to keep players in constant flow?

    - by user1107412
    I read a lot about Flow theory and its applications to video games, and I got an idea sticking in my mind. If a number of weight values are applied to different parameters of a certain game level (i.e. the size of the level, the number of enemies, their overal strength, the variance in their behavior, etc), then it should be technically possible to find an overal score mechanism for each level in the game. If a constant ratio of complexity increase were empirically defined, for instance 1,3333, or say, the Golden Ratio, would it be a good idea to arrange the levels in such an order that the increase of overal complexity tends to increase that much? Has somebody tried it?

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  • Top down space game control problem

    - by Phil
    As the title suggests I'm developing a top down space game. I'm not looking to use newtonian physics with the player controlled ship. I'm trying to achieve a control scheme somewhat similar to that of FlatSpace 2 (awesome game). I can't figure out how to achieve this feeling with keyboard controls as opposed to mouse controls though. Any suggestions? I'm using Unity3d and C# or javaScript (unityScript or whatever is the correct term) works fine if you want to drop some code examples. Edit: Of course I should describe FlatSpace 2's control scheme, sorry. You hold the mouse button down and move the mouse in the direction you want the ship to move in. But it's not the controls I don't know how to do but rather the feeling of a mix of driving a car and flying an aircraft. It's really well made. Youtube link: FlatSpace2 on iPhone I'm not developing an iPhone game but the video shows the principle of the movement style. Edit 2 As there seems to be a slight interest, I'll post the version of the code I've used to continue. It works good enough. Sometimes good enough is sufficient! using UnityEngine; using System.Collections; public class ShipMovement : MonoBehaviour { public float directionModifier; float shipRotationAngle; public float shipRotationSpeed = 0; public double thrustModifier; public double accelerationModifier; public double shipBaseAcceleration = 0; public Vector2 directionVector; public Vector2 accelerationVector = new Vector2(0,0); public Vector2 frictionVector = new Vector2(0,0); public int shipFriction = 0; public Vector2 shipSpeedVector; public Vector2 shipPositionVector; public Vector2 speedCap = new Vector2(0,0); void Update() { directionModifier = -Input.GetAxis("Horizontal"); shipRotationAngle += ( shipRotationSpeed * directionModifier ) * Time.deltaTime; thrustModifier = Input.GetAxis("Vertical"); accelerationModifier = ( ( shipBaseAcceleration * thrustModifier ) ) * Time.deltaTime; directionVector = new Vector2( Mathf.Cos(shipRotationAngle ), Mathf.Sin(shipRotationAngle) ); //accelerationVector = Vector2(directionVector.x * System.Convert.ToDouble(accelerationModifier), directionVector.y * System.Convert.ToDouble(accelerationModifier)); accelerationVector.x = directionVector.x * (float)accelerationModifier; accelerationVector.y = directionVector.y * (float)accelerationModifier; // Set friction based on how "floaty" controls you want shipSpeedVector.x *= 0.9f; //Use a variable here shipSpeedVector.y *= 0.9f; //<-- as well shipSpeedVector += accelerationVector; shipPositionVector += shipSpeedVector; gameObject.transform.position = new Vector3(shipPositionVector.x, 0, shipPositionVector.y); } }

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  • Projected trajectory of a vehicle?

    - by mac
    In the game I am developing, I have to calculate if my vehicle (1) which in the example is travelling north with a speed V, can reach its target (2). The example depict the problem from atop: There are actually two possible scenarios: V is constant (resulting in trajectory 4, an arc of a circle) or the vehicle has the capacity to accelerate/decelerate (trajectory 3, an arc of a spiral). I would like to know if there is a straightforward way to verify if the vehicle is able to reach its target (as opposed to overshooting it). I'm particularly interested in trajectory #3, as I the only thing I could think of is integrating the position of the vehicle over time. EDIT: of course the vehicle has always the capacity to steer, but the steer radius vary with its speed (think to a maximum lateral g-force). EDIT2: also notice that (as most of the vehicles in real life) there is a minimum steering radius for the in-game ones too).

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  • What's a way to implement a flexible buff/debuff system?

    - by gkimsey
    Overview: Lots of games which RPG-like statistics allow for character "buffs", ranging from simple "Deal 25% extra damage" to more complicated things like "Deal 15 damage back to attackers when hit." The specifics of each type of buff aren't really relevant. I'm looking for a (presumably object-oriented) way to handle arbitrary buffs. Details: In my particular case, I have multiple characters in a turn-based battle environment, so I envisioned buffs being tied to events like "OnTurnStart", "OnReceiveDamage", etc. Perhaps each buff is a subclass of a main Buff abstract class, where only the relevant events are overloaded. Then each character could have a vector of buffs currently applied. Does this solution make sense? I can certainly see dozens of event types being necessary, it feels like making a new subclass for each buff is overkill, and it doesn't seem to allow for any buff "interactions". That is, if I wanted to implement a cap on damage boosts so that even if you had 10 different buffs which all give 25% extra damage, you only do 100% extra instead of 250% extra. And there's more complicated situations that ideally I could control. I'm sure everyone can come up with examples of how more sophisticated buffs can potentially interact with each other in a way that as a game developer I may not want. As a relatively inexperienced C++ programmer (I generally have used C in embedded systems), I feel like my solution is simplistic and probably doesn't take full advantage of the object-oriented language. Thoughts? Has anyone here designed a fairly robust buff system before?

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  • XNA model drawing problem

    - by user1990950
    When using this code: public static void DrawModel(Model model, Vector3 position, Vector3 offset, float xRotation, float yRotation, float zRotation, float allrot, float xScale, float yScale, float zScale) { position.Y *= -1; offset.Y *= -1; Matrix worldMatrix = ((Matrix.CreateRotationZ(MathHelper.ToRadians(zRotation)) * Matrix.CreateRotationX(MathHelper.ToRadians(xRotation))) * Matrix.CreateRotationY(MathHelper.ToRadians(yRotation))) * (Matrix.CreateTranslation(offset) * Matrix.CreateRotationY(MathHelper.ToRadians(allrot))) * Matrix.CreateScale(xScale, yScale, zScale); worldMatrix *= Matrix.CreateTranslation(position) * theCamera.GetTransformation() * Matrix.CreateTranslation(new Vector3(-(graphics.GraphicsDevice.Viewport.Width / 2), graphics.GraphicsDevice.Viewport.Height / 2, 0)); foreach (ModelMesh mesh in model.Meshes) { for (int i = 0; i < mesh.Effects.Count; i++) { ((BasicEffect)mesh.Effects[i]).EnableDefaultLighting(); ((BasicEffect)mesh.Effects[i]).World = worldMatrix; ((BasicEffect)mesh.Effects[i]).View = viewMatrix; ((BasicEffect)mesh.Effects[i]).Projection = projectionMatrix; } mesh.Draw(); } } The model rotates and then scales. It should scale and then rotate, but whenever I try to change it, it won't work.

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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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