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  • "Time Control" in a 2d Platformer

    - by Woody Zantzinger
    I am making a 2d platformer where the player can press a button, and restart the level, only their previous character will also run the level at the same time, like they are traveling back in time. I know other games have done this before, and the way I have thought of doing it is to make the game character have a set of actions (Idle, Jumping, Walking Left etc.) and then detect changes in those actions and log them into a list along with the game time. So then when I need the character to run the level again on its own, I can just go through the list changing its actions at the right time. Is this the best way to do it? Does anyone have any experience in this? Thanks.

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  • Transform 3d viewport vector to 2d vector

    - by learning_sam
    I am playing around with 3d transformations and came along an issue. I have a 3d vector already within the viewport and need to transform it to a 2d vector. (let's say my screen is 10x10) Does that just straight works like regualar transformation or is something different here? i.e.: I have the vector a = (2, 1, 0) within the viewport and want the 2d vector. Does that works like this and if yes how do I handle the "0" within the 3rd component?

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  • 2D Ragdoll - should it collide with itself?

    - by Axarydax
    Hi, I'm working on a ragdoll fighting game as a hobby project, but I have one dilemma. I am not sure if my ragdoll should collide with itself or not, i.e. if ragdoll's body parts should collide. 2D world is somewhat different than 3D, because there are several layers of stuff implied (for example in Super Mario you jump through a platform above you while going up). The setup I'm currently most satisfied with is when only the parts which are joined by a joint don't collide, so head doesn't collide with neck, neck with chest, chest with upper arm etc, but the head can collide with chest, arms, legs. I've tried every different way, but I'm not content with either. Which way would recommend me to go?

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  • Making a clone of a game legal?

    - by user782220
    My question is similar to a previous question. Consider the following clone of starcraft. Change the artwork, sound, music, change the names of units. However, leave the unit hitpoints unchanged, unit damage unchanged, unit movement speed unchanged, change ability names but not ability effects. Is that considered illegal? In other words is copying the unit hp, dmg, etc. considered illegal even if everything else is changed.

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  • Textual descriptions of 8-bit and 16-bit game engines

    - by ixtmixilix
    I found a good description of the engine in the Sonic games. It describes roughly how the engine works for people writing their own clones. In my case, I am simply interested in getting a general view of how the many 8-bit and 16-bit game engines worked on their respective consoles. So, this is a big-list style question asking, what other online descriptions of specific game engines have people found?

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  • Collision with half of a semi-circle

    - by heitortsergent
    I am trying to port a game I made using Flash/AS3, to the Windows Phone using C#/XNA 4.0. You can see it here: http://goo.gl/gzFiE In the flash version I used a pixel-perfect collision between meteors (it's a rectangle, and usually rotated) that spawn outside the screen, and move towards the center, and a shield in the center of the screen(which is half of a semi-circle, also rotated by the player), which made the meteor bounce back in the opposite direction it came from, when they collided. My goal now is to make the meteors bounce in different angles, depending on the position it collides with the shield (much like Pong, hitting the borders causes a change in the ball's angle). So, these are the 3 options I thought of: Pixel-perfect collision (Microsoft has a sample) , but then I wouldn't know how to change the meteor angle after the collision 3 BoundingCircle's to represent the half semi-circle shield, but then I would have to somehow move them as I rotate the shield. Farseer Physics. I could make a shape composed of 3 lines, and use that as the collision object for the shield. Is there any other way besides those? Which would be the best way to do it(it's aimed towards mobile devices, so pixel-perfect is probably not a good choice)? Most of the time there's always a easier/better way than what we think of...

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  • Unity: Assigning String value in inspector

    - by Marc Pilgaard
    I got an issue with Unity I can't seem to comprehend, and it is possibly very simple: I am trying to write a simple piece of code in JavaScript where a button toggles the activation of a shield, by dragging a prefab with Resources.load("ActivateShieldPreFab") and destroying it again (Haven't implemented that yet). I wish to assign this button through the inspector, so I have created a string variable which appears as intended in the inspector. Though it doesn't seem to register the inspector input, even though I changed the value through the inspector. It only provides the error: "Input Key named: is unknown" When the button name is assigned within the code, there is no issues. Code as follows: var ShieldOn = false; var stringbutton : String; function Start(){ } function Update () { if(Input.GetKey(stringbutton) && ShieldOn != true) { Instantiate(Resources.load("ActivateShieldPreFab"), Vector3 (0, 0, 0), Quaternion.identity); ShieldOn = true; } } Hope somebody can help, in advance... Thanks

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  • Unity mouse input not working in webplayer build

    - by Califer
    I have a button script with the following code void OnMouseDown() { animation.Play("button-squish"); enlarged = true; audio.PlayOneShot(buttonSound); } void OnMouseUpAsButton() { if (enlarged) { SelectThisButton(); enlarged = false; animation.Play("button-return"); } } void OnMouseExit() { if (enlarged) { enlarged = false; animation.Play("button-return"); } } It works great in the editor, but when I made a build and tested it in Chrome none of the buttons had any response. Further testing revealed that it did work in Firefox. Rather than telling people to change their browser if they want to play, I want to make the button code work. How else can I get the buttons to know when they're being pressed if the built-in stuff isn't working?

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  • Tunnels in pseudo 3D racing game

    - by Nicholas
    How would one go about doing tunnels in a pseudo 3D racing game ? The main problem I have at the moment is perspective - I cant think of a way, beyond having to Z sort the sprites and tunnel coordinates, so that vehicles are displayed in front of the tunnel entrance and somehow block the display when out of site. I would like my tunnels to be used on both flat, curved and hills and slopes. The tunnel enterance/exit is made up of 3 separate graphics, (left, right and top), whilst inside the tunnel it is just one line graphic along the top (the idea being its supposed to be a set distance above the current vertical road position). As you can see from the picture, the vehicles are still being rendered whilst in the tunnel. I've converted the Code Incomplete road system to GLBasic.

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  • How to apply Data Oriented Design with Object Oriented Programming?

    - by Pombal
    Hi. I've read lots of articles about DOD and I understand it but I can't design an Object Oriented system with DOD in mind, I think my OOP education is blocking me. How should I think to mix the two? The objective is to have a nice OO interface while using DOD behind the scenes. I saw this too but didn't help much: http://stackoverflow.com/questions/3872354/how-to-apply-dop-and-keep-a-nice-user-interface

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  • What are the steps taken by this GLSL code?

    - by user827992
    1 void main(void) 2 { 3 vec2 pos = mod(gl_FragCoord.xy, vec2(50.0)) - vec2(25.0); 4 float dist_squared = dot(pos, pos); 5 6 gl_FragColor = (dist_squared < 400.0) 7 ? vec4(.90, .90, .90, 1.0) 8 : vec4(.20, .20, .40, 1.0); 9 } taken from http://people.freedesktop.org/~idr/OpenGL_tutorials/03-fragment-intro.html Now, this looks really trivial and simple, but my problem is with the mod function. This function is taking 2 vec2 as inputs but is supposed to take just 2 atomic arguments according to the official documentation, also this function makes an implicit use of the floor function that only accepts, again, 1 atomic argument. Can someone explain this to me step by step and point out what I'm not getting here? It's some kind of OpenGL trick? OpenGL Math trick? in the GLSL docs i always find and explicit reference to the type accepted by the function and vec2 it's not there.

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  • How does this circle collision detection math work?

    - by Griffin
    I'm going through the wildbunny blog to learn about collision detection. I'm confused about how the vectors he's talking about come into play. Here's the part that confuses me: p = ||A-B|| – (r1+r2) The two spheres are penetrating by distance p. We would also like the penetration vector so that we can correct the penetration once we discover it. This is the vector that moves both circles to the point where they just touch, correcting the penetration. Importantly it is not only just a vector that does this, it is the only vector which corrects the penetration by moving the minimum amount. This is important because we only want to correct the error, not introduce more by moving too much when we correct, or too little. N = (A-B) / ||A-B|| P = N*p Here we have calculated the normalised vector N between the two centres and the penetration vector P by multiplying our unit direction by the penetration distance. I understand that p is the distance by which the circles penetrate, but I don't get what exactly N and P are. It seems to me N is just the coordinates of the 3rd point of the right trianlge formed by point A and B (A-B) then being divided by the hypotenuse of that triangle or distance between A and B (||A-B||). What's the significance of this? Also, what is the penetration vector used for? It seems to me like a movement that one of the circles would perform to get un-penetrated.

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  • Simple 2D Flight Physics with Box2D

    - by MarkPowell
    I'm trying to build a simple side scroller with an airplane being the player. As such, I want to build simple flight controls with simple but realistic-feeling physics. I'm making use of cocos2D and Box2D. I have a basic system working, but just can't get the physics feeling correct. I am applying force to the plane (which is a b2CircleShape) based on the user's input. So, basically, if the user pushes up, body_->ApplyForce(b2Vec2(10,30), body_->GetPosition()) is called. Similarly, for down -30 is used. This works and the plane flys along with up/down causing it to dive or climb. But it just doesn't feel right. There is no slowdown on climbs, nor speed up during dives. My simple solution is far to simple. How can I get a better feel for a plane climbing/diving? Thanks!

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  • Memory allocation strategy for the vertex buffers (DirectX 10/11)

    - by Alex
    I have the following question. I write CAD system. So I have a 3D scene and there are many different objects (walls, doors, windows and so on). User can add or delete some objects. The question is: how can I organise the keeping of vertices for all my objects. I can create vertex buffer for every object. But I think drawing/switching from one buffer to another would have performance penalty. Another way - I can create several big buffers for every object type. But I don't understand how to update such buffers. It is too big to update whole buffer (for example buffer for all walls). What I need to do if I want to delete the object from the middle of the buffer? Actually I have the similar question: http://stackoverflow.com/questions/5515700/how-to-properly-update-vertex-buffers-in-directx-10 Most examples I've found work with very static models. Therefore, they tend to create a single vertex buffer with their list of points, and then are just manipulated by matrix transformations. I, on the other hand, will be updating the scene very often.

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  • OpenGL doesn't draw (3.3+) [on hold]

    - by Dhiego Magalhães
    Brief: I've been following this tutorial about OpenGL for 2 days, and I still can't have a triangle drawn, so I'm asking for help here. The tutorial is turned to OpenGL version 3.3 programing, using vertex arrays, buffers, etc. The libraries are: GLFW3 and GLEW, and I setted them by myself. The screen keeps black all the time. Full code: link here (It's just like a Hello World opengl program) Further Details: I get no errors at all. I downloaded a software to test my video card, and it supports OpenGL 4.1+ Standard OpenGL code for drawing (from earlier version) such as this one works normally. I'm using Microsoft Visual Studio 10.0 I presume all the OpenGL implementation was dune right: I added Additional Dependences to the linker as glew32.lib, opengl32.lib, glfw3.lib. The glew.dll was placed at SysWOW64 - because I'm running window 64bits, and glew is 32. Notes: I've been working hard to find out what this is, but I can't find. I would appreciate if anyone could test this code for me, so I can know if I implemented something wrong, and that its not my code.

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  • a flexible data structure for geometries

    - by AkiRoss
    What data structure would you use to represent meshes that are to be altered (e.g. adding or removing new faces, vertices and edges), and that have to be "studied" in different ways (e.g. finding all the triangles intersecting a certain ray, or finding all the triangles "visible" from a given point in the space)? I need to consider multiple aspects of the mesh: their geometry, their topology and spatial information. The meshes are rather big, say 500k triangles, so I am going to use the GPU when computations are heavy. I tried using arrays with vertices and arrays with indices, but I do not love adding and removing vertices from them. Also, using arrays totally ignore spatial and topological information, which I may need studying the mesh. So, I thought about using custom double-linked list data structures, but I believe doing so will require me to copy the data to array buffers before going on the GPU. I also thought about using BST, but not sure it fits. Any help is appreciated. If I have been too fuzzy and you require other information feel free to ask.

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  • No pre-built ActionBar for Android pre-3.0?

    - by Ollie C
    I note the release a few days ago of the static library bringing fragments to Android versions prior to 3.0, but does this library include the ActionBar? I suspect not. I assume that for an app that will work on pre-3.0 versions, that it needs a hand-built ActionBar implementation for versions up to 2.3 and then to use the OS default ActionBar in v3.0? for some reason I assumed the library had ActionBar in it, but as I dig further I'm not finding any evidence of its presence.

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  • Including Microsoft.XNA.Framework.Input.Touch in a project?

    - by steven_desu
    So after running through tutorials by both Microsoft and www.xnadevelopment.com I feel very confident in my ability to get to work on my first game using the XNA Framework. I've manipulated sprites, added audio, changed game states, and even went a step further to apply the knowledge I had and figure out how to make animations and basic 2-dimensional physics (including impulses, force, acceleration, and speed calculations) But then shortly into the project I hit a curious bump that I've been unable to figure out. In wanting to implement menus, pause screens, and several different aspects of play (a "pre-level" prep screen, the level itself, and a screen after the level to review how well you did) I took a look at Microsoft's Game State Management sample. I understood the concept, although it was admittedly quite a lot to take in. Not wanting to recreate the entire concept by scratch (after all- what purpose would that serve?) I tried copying and pasting the sample code into my own ScreenManager class (as well as InputState and GameScreen classes) to try and borrow their ingenuity. When I did this, however, my project stopped compiling. I was getting the following error: The type or namespace name 'Touch' does not exist in the namespace 'Microsoft.Xna.Framework.Input' (are you missing an assembly reference?) Having read through their sample code already, I realized that this namespace and every function and class within it could be safely ripped from the code without losing functionality. It's a namespace simply for integrating with touchscreen devices (presumably Windows Phone 7, but maybe also tablets). But then I began to wonder- how come Microsoft's sample compiled but mine didn't? I copied their code exactly so there must be a setting somewhere that I need to change in Visual Studio in order to correct this. I tried creating a new project as a Windows Phone 7 game rather than a Windows game, however that only forced it to compile to a Windows Phone emulator and denied me the ability to change the resolution and other features which I clearly had the power to do in the sample code. So my question is simple - how do I properly use the namespace Microsoft.XNA.Framework.Input.Touch?

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  • Weird appearance for a 3D XNA ground

    - by Belos
    I wanted to add a ground so I can know the position of a helicopter in the world. But the ground appeared in a weird way: http://i.stack.imgur.com/yTSuW.jpg The ground had the following texture: http://i.stack.imgur.com/pdpxB.png EDIT: Sorry, I forgot to post the code: public class ImportModel { public Vector3 Position { get; set; } public Vector3 Rotation { get; set; } public Vector3 Scale { get; set; } Model Model; Matrix[] modeltransforms; GraphicsDevice GraphicDevice; ContentManager Content; BoundingSphere sphere; bool boundingimplemented = false; public ImportModel(string model, GraphicsDevice gd, ContentManager cm, Vector3 position, Vector3 rot, Vector3 sca) { GraphicDevice = gd; Content = cm; Position = position; Rotation = rot; Scale = sca; Model = Content.Load<Model>(model); modeltransforms = new Matrix[Model.Bones.Count]; Model.CopyAbsoluteBoneTransformsTo(modeltransforms); } public void Draw(Camera camera) { Matrix baseworld = Matrix.CreateScale(Scale) * Matrix.CreateFromYawPitchRoll(Rotation.Y, Rotation.X, Rotation.Z) * Matrix.CreateTranslation(Position); foreach (ModelMesh mesh in Model.Meshes) { Matrix localworld = modeltransforms[mesh.ParentBone.Index] * baseworld; foreach (ModelMeshPart meshpart in mesh.MeshParts) { BasicEffect effect = (BasicEffect)meshpart.Effect; effect.World = localworld; effect.View = camera.View; effect.Projection = camera.Projection; effect.EnableDefaultLighting(); } mesh.Draw(); } } public BoundingSphere BoundingSphere { get { if (!boundingimplemented) { foreach (ModelMesh mesh in Model.Meshes) { BoundingSphere transformed = mesh.BoundingSphere.Transform( modeltransforms[mesh.ParentBone.Index]); sphere = BoundingSphere.CreateMerged(sphere, transformed); } Matrix worldTransform = Matrix.CreateScale(Scale) * Matrix.CreateTranslation(Position); BoundingSphere transforme = sphere; transforme = transforme.Transform(worldTransform); return transforme; } else { Matrix worldTransform = Matrix.CreateScale(Scale) * Matrix.CreateTranslation(Position); BoundingSphere transformed = sphere; transformed = transformed.Transform(worldTransform); return transformed; } } } } Then I call the class from the Game1 class: ImportModel ground = new ImportModel("ground", GraphicsDevice, Content, Vector3.Zero, Vector3.Zero, new Vector3(20f)); EDIT2:This is how the scene looks from top: i.stack.imgur.com/Hs983.jpg

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  • SpriteBatch.Begin() making my model not render correctly

    - by manning18
    I was trying to output some debug information using DrawString when I noticed my model suddenly was being rendered like it was inside-out (like the culling had been disabled or something) and the texture maps weren't applied I commented out the DrawString method until I only had SpriteBatch.Begin() and .End() and that was enough to cause the model rendering corruption - when I commented those calls out the model rendered correctly What could this be a symptom of? I've stripped it down to the barest of code to isolate the problem and this is what I noticed. Draw code below (as stripped down as possible) GraphicsDevice.Clear(Color.LightGray); foreach (ModelMesh mesh in TIEAdvanced.Meshes) { foreach (Effect effect in mesh.Effects) { if (effect is BasicEffect) ((BasicEffect)effect).EnableDefaultLighting(); effect.CurrentTechnique.Passes[0].Apply(); } } spriteBatch.Begin(); spriteBatch.DrawString(spriteFont, "Camera Position: " + cameraPosition.ToString(), new Vector2(10, 10), Color.Blue); spriteBatch.End(); GraphicsDevice.DepthStencilState = DepthStencilState.Default; TIEAdvanced.Draw(Matrix.CreateScale(0.025f), viewMatrix, projectionMatrix);

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  • Multithreading in lwjgl getting rid of sleep.

    - by pangaea
    I'm trying to use multithreading in my game. However, I can't seem to get rid of the sleep. If I don't it's a blank screen, as there is no time for the computer to actually render the triangleMob as it can't access getArrayList(), in my main class I have a TriangleMob arraylist. If I delay it, then it can access the previousMob and it renders. If I don't, then it's blank screen. Can I get rid of the delay? Also, is this a bad way to multithread? Surely, this should be fast. I need multithreading so can you please not suggest not using it. public class TriangleMob extends Thread implements Runnable { private static int count=0; private int objectDisplayList; private static ArrayList<TriangleMob> previousMob = new ArrayList<TriangleMob>(); private static ArrayList<TriangleMob> currentMob = new ArrayList<TriangleMob>(); private static ArrayList<TriangleMob> laterMob = new ArrayList<TriangleMob>(); private Vector3f position = new Vector3f(0f,0f,0f); private Vector3f movement = new Vector3f(0f,0f,0f); public TriangleMob() { // Create the display list CreateDisplayList(); count++; } public TriangleMob(Vector3f position) { // Create the display list CreateDisplayList(); this.position = position; count++; } private void CreateDisplayList() { objectDisplayList = glGenLists(1); glNewList(objectDisplayList, GL_COMPILE); { double topPoint = 0.75; glBegin(GL_TRIANGLES); glColor4f(1, 1, 0, 1f); glVertex3d(0, topPoint, -5); glColor4f(0, 0, 1, 1f); glVertex3d(-1, -0.75, -4); glColor4f(0, 0, 1, 1f); glVertex3d(1, -.75, -4); glColor4f(1, 1, 0, 1f); glVertex3d(0, topPoint, -5); glColor4f(0, 0, 1, 1f); glVertex3d(1, -0.75, -4); glColor4f(0, 0, 1, 1f); glVertex3d(1, -0.75, -6); glColor4f(1, 1, 0, 1f); glVertex3d(0, topPoint, -5); glColor4f(0, 0, 1, 1f); glVertex3d(1, -0.75, -6); glColor4f(0, 0, 1, 1f); glVertex3d(-1, -.75, -6); glColor4f(1, 1, 0, 1f); glVertex3d(0, topPoint, -5); glColor4f(0, 0, 1, 1f); glVertex3d(-1, -0.75, -6); glColor4f(0, 0, 1, 1f); glVertex3d(-1, -.75, -4); glEnd(); glColor4f(1, 1, 1, 1); } glEndList(); } public static int getCount() { return count; } public Vector3f getMovement() { return movement; } public Vector3f getPosition() { return position; } public synchronized int getObjectList() { return objectDisplayList; } public synchronized static ArrayList<TriangleMob> getArrayList(){ if(previousMob != null) { return previousMob; } previousMob.add(new TriangleMob()); return previousMob; } public synchronized void move(Vector3f movement) { // If you want to move in all 3 axis position.x += movement.x; position.y += movement.y; position.z += movement.z; } public synchronized void render() { glPushMatrix(); glTranslatef(-position.x, -position.y, -position.z); glCallList(objectDisplayList); glPopMatrix(); } public synchronized static void setTriangleMob(ArrayList<TriangleMob> triangleMobSet) { laterMob = triangleMobSet; } private synchronized void setPreTriangleMob(ArrayList<TriangleMob> currentMob2) { previousMob = currentMob2; } public void run(){ while(true) { if(laterMob == null) { currentMob = laterMob; System.out.println("Copying"); } for(int i=0; i<currentMob.size(); i++) { currentMob.get(i).move(new Vector3f(0.1f,0.01f,0.01f)); } setPreTriangleMob(currentMob); try { sleep(1L); } catch (InterruptedException e) { // TODO Auto-generated catch block e.printStackTrace(); } } } }

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  • Level Representation in a 2D Game

    - by meszar.imola
    I would like to create a 2D game, where a character should move on a stage/level. My stage would be static, constructed some little cubes, similar to the well-known Mario game: some of the elements should represent an element of the way where the character can step, but if the element is missing, the character should fall. My problem is, how to represent this programmatically? My first thought was to represent the stage with a vector, which should contain boolean elements, depending on the state of the element on the stage - if it's missing or not. But this means, I have to verify at my character's x or y position change if it has a stage element under or not (if not, to simulate the falling of the character) - I think it is not the best practice, it's not the beautiful solution. Can you help me with some advice, how to represent the stage?

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  • unity player doesnt support my ubuntu so i cant play battalstar gallactica [closed]

    - by jrwhite3230
    ive been trying to install the unity player that supports battlestar gallactica online at big point.com /but then it is saying that my system (ubuntu) is not supported isnt there a patch by now because the game has been on for years now and there has been many people that i know running ubuntu who has the same difficulty ! also is there another program that would work with ubuntu and battlestar gallactica online?? there has to be a fix or ill just have to uninstall ubuntu/which is my next question how do i do that ??where is the control panel that allows you to uninstall programs within ubunty thank you very much for any support or advice [email protected]

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  • XNA - 2D Rotation of an object to a selected direction

    - by lobsterhat
    I'm trying to figure out the best way of rotating an object towards the directional input of the user. I'm attempting to mimic making turns on ice skates. For instance, if the player is moving right and the input is down and left, the player should start rotating to the right a set amount each tick. I'll calculate a new vector based on current velocity and rotation and apply that to the current velocity. That should give me nice arcing turns, correct? At the moment I've got eight if/else statements for each key combination which in turn check the current rotation: // Rotate to 225 if (keyboardState.IsKeyDown(Keys.Up) && keyboardState.IsKeyDown(Keys.Left)) { // Rotate right if (rotation >= 45 || rotation < 225) { rotation += ROTATION_PER_TICK; } // Rotate left else if (rotation < 45 || rotation > 225) { rotation -= ROTATION_PER_TICK; } } This seems like a sloppy way to do this and eventually, I'll need to do this check about 10 times a tick. Any help toward a more efficient solution is appreciated.

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  • HTML5 Canvas Converting between cartesian and isometric coordinates

    - by Amir
    I'm having issues wrapping my head around the Cartesian to Isometric coordinate conversion in HTML5 canvas. As I understand it, the process is two fold: (1) Scale down the y-axis by 0.5, i.e. ctx.scale(1,0.5); or ctx.setTransform(1,0,0,0.5,0,0); This supposedly produces the following matrix: [x; y] x [1, 0; 0, 0.5] (2) Rotate the context by 45 degrees, i.e. ctx.rotate(Math.PI/4); This should produce the following matrix: [x; y] x [cos(45), -sin(45); sin(45), cos(45)] This (somehow) results in the final matrix of ctx.setTransform(2,-1,1,0.5,0,0); which I cannot seem to understand... How is this matrix derived? I cannot seem to produce this matrix by multiplying the scaling and rotation matrices produced earlier... Also, if I write out the equation for the final transformation matrix, I get: newX = 2x + y newY = -x + y/2 But this doesn't seem to be correct. For example, the following code draws an isometric tile at cartesian coordinates (500, 100). ctx.setTransform(2,-1,1,0.5,0,0); ctx.fillRect(500, 100, width*2, height); When I check the result on the screen, the actual coordinates are (285, 215) which do not satisfy the equations I produced earlier... So what is going on here? I would be very grateful if you could: (1) Help me understand how the final isometric transformation matrix is derived; (2) Help me produce the correct equation for finding the on-screen coordinates of an isometric projection. Many thanks and kind regards

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