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  • Collisions and Lists

    - by user50635
    I've run into an issue that breaks my collisions. Here's my method: Gather Input Project Rectangle Check for intersection and ispassable Update The update method is built on object_position * seconds_passed * velocity * speed. Input changes velocity and is normalized if 1. This method works well with just one object comparison, however I pass a list or a for loop to the collision detector and velocity gets changed back to a non zero when the list hits an object that passes the test and the object can pass through. Any solutions would be much appreciated. Side note is there a more proper way to simulate movement?

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  • Can a high FPS negatively affect how a program runs?

    - by rphello101
    Yeah I know this is a broad question and will get down rated, I'm just hoping for some answer before it gets closed. Anyway, I'm using Slick 2D/Java to play around with graphics. I'm having some trouble with trying to move an image. The weird thing is, the code works just fine on my laptop, but the image sporadically moves to (0,0) and stops on my desktop. The only difference between the two is that it says the FPS is about 500 on my laptop and 6600 on my desktop. Can that affect it or does someone have any ideas for what to check on?

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  • How can I track a falling ball with a camera?

    - by Jason
    I have been trying to get my camera to follow a falling ball but with no success. here is the code float cameraY = (FrustumHeight / 2)+((ball.getPosition().y) /2) - (FrustumHeight /2); if (cameraY < FrustumHeight/2 ) cameraY = FrustumHeight/2; camera.position.set(0f,cameraY, 0f); Gdx.app.log("test",camera.position.toString()); camera.update(); camera.apply(Gdx.gl10); batch.setProjectionMatrix(camera.combined); batch.begin(); batch.draw(backgroundRegion, camera.position.x - FrustumWidth / 2, -cameraY - (FrustumHeight/2) , 320, 480); batch.draw(ballTexture, (camera.position.x - FrustumWidth / 2) + ball.getPosition().x,-cameraY + ball.getPosition().y - (FrustumHeight/2) , 32, 32); I'm sure I am doing this completely wrong - what is the correct way to do this?

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  • Is my implementation of A* wrong?

    - by Bloodyaugust
    I've implemented the A* algorithm in my program. However, it would seem to be functioning incorrectly at times. Below is a screenshot of one such time. The obviously shorter line is to go immediately right at the second to last row. Instead, they move down, around the tower, and continue to their destination (bottom right from top left). Below is my actual code implementation: nodeMap.prototype.findPath = function(p1, p2) { var openList = []; var closedList = []; var nodes = this.nodes; for (var i = 0; i < nodes.length; i++) { //reset heuristics and parents for nodes var curNode = nodes[i]; curNode.f = 0; curNode.g = 0; curNode.h = 0; curNode.parent = null; if (curNode.pathable === false) { closedList.push(curNode); } } openList.push(this.getNode(p1)); while(openList.length > 0) { // Grab the lowest f(x) to process next var lowInd = 0; for(i=0; i<openList.length; i++) { if(openList[i].f < openList[lowInd].f) { lowInd = i; } } var currentNode = openList[lowInd]; if (currentNode === this.getNode(p2)) { var curr = currentNode; var ret = []; while(curr.parent) { ret.push(curr); curr = curr.parent; } return ret.reverse(); } closedList.push(currentNode); for (i = 0; i < openList.length; i++) { //remove currentNode from openList if (openList[i] === currentNode) { openList.splice(i, 1); break; } } for (i = 0; i < currentNode.neighbors.length; i++) { if(closedList.indexOf(currentNode.neighbors[i]) !== -1 ) { continue; } if (currentNode.neighbors[i].isPathable === false) { closedList.push(currentNode.neighbors[i]); continue; } var gScore = currentNode.g + 1; // 1 is the distance from a node to it's neighbor var gScoreIsBest = false; if (openList.indexOf(currentNode.neighbors[i]) === -1) { //save g, h, and f then save the current parent gScoreIsBest = true; currentNode.neighbors[i].h = currentNode.neighbors[i].heuristic(this.getNode(p2)); openList.push(currentNode.neighbors[i]); } else if (gScore < currentNode.neighbors[i].g) { //current g better than previous g gScoreIsBest = true; } if (gScoreIsBest) { currentNode.neighbors[i].parent = currentNode; currentNode.neighbors[i].g = gScore; currentNode.neighbors[i].f = currentNode.neighbors[i].g + currentNode.neighbors[i].h; } } } return false; } Towers block pathability. Is there perhaps something I am missing here, or does A* not always find the shortest path in a situation such as this? Thanks in advance for any help.

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  • Particle system lifetimes in OpenGL ES 2

    - by user16547
    I don't know how to work with my particle's lifetimes. My design is simple: each particle has a position, a speed and a lifetime. At each frame, each particle should update its position like this: position.y = position.y + INCREMENT * speed.y However, I'm having difficulties in choosing my INCREMENT. If I set it to some sort of FRAME_COUNT, it looks fine until FRAME_COUNT has to be set back to 0. The effect will be that all particles start over at the same time, which I don't want to happen. I want my particles sort of live "independent" of each other. That's the reason I need a lifetime, but I don't know how to make use of it. I added a lifetime for each particle in the particle buffer, but I also need an individual increment that's updated on each frame, so that when PARTICLE_INCREMENT = PARTICLE_LIFETIME, each increment goes back to 0. How can I achieve something like that?

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  • Getting an object from a 2d array inside of a class

    - by user36324
    I am have a class file that contains two classes, platform and platforms. platform holds the single platform information, and platforms has an 2d array of platforms. Im trying to render all of them in a for loop but it is not working. If you could kindly help me i would greatly appreciate. void Platforms::setUp() { for(int x = 0; x < tilesW; x++){ for(int y = 0; y < tilesH; y++){ Platform tempPlat(x,y,true,renderer,filename,tileSize/scaleW,tileSize/scaleH); platArray[x][y] = tempPlat; } } } void Platforms::show() { for(int x = 0; x < tilesW; x++){ for(int y = 0; y < tilesH; y++){ platArray[x][y].show(renderer,scaleW,scaleH); } } }

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  • Adding gesture recognizer (or dragging) to CCSprite

    - by user339946
    I'm trying to allow a CCSprite to be dragged across the screen. I've succeeded so far by doing it on a Layer level (from this tutorial). However, this only allows ONE sprite to be dragged at a time as the method implementation can only identify a single sprite to move at a time. I'd like to be able to perhaps add a gesture recognizer or somehow implement ccTouchesBegan/Moved in my own little CCSprite subclass. However, from what I understand, you can't just add gesture recognizers to CCSprites. ccTouchMoved are also not available on CCSprites?? Really confused as to how to implement touches on Cocos2D. What is the easiest way to add some position translation code to a CCSprite so it can be dragged around? Thanks!

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  • Techniques for lighting a texture (no shadows)

    - by Paul Manta
    I'm trying to learn about dynamic shadows for 2D graphics. While I understand the basic ideas behind determining what areas should be lit and which should be in shadow, I don't know how I would "lighten" a texture in the first place. Could you go over various popular techniques for lighting a texture and what (dis)advantages each one has? Also, how is lighting a texture with colored light different from using white light?

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  • Is an extra collision-mesh for level-data worth the hassle?

    - by Serthy
    What is the optimal approach for collision-detection with the environment in an 3D engine (with triangle mesh based geometry, no bsp)? A) Use the render mesh [+] no need for additional work for artists to fiddle with collision detection [-] high detail is harder for physics calculation [+/-] maybe use collidable flags for materials [+/-] compute the collision-mesh from the render-mesh B) Use an additional collision mesh [+] faster/more optimal collision-detection [-] additional work (either by the artist or by the programmer who has to develop an algorithm to compute it from the render-mesh) [-] more memory useage How do AAA title handle this? And what are the indie dev's approaches?

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  • Triangles in a C++ STL Vector as an Objective-C member sometimes draws incorrectly in OpenGL ES

    - by Rahil627
    The polygons draw correctly 80% of the time. When it fails, a vertex is dislocated. The polygon is consistently drawn with the wrong vertex. I checked that the vector is correct during initialization, even when it's wrongly drawn. I'm using Cocos2d. The class member: @interface Polygon : CCSprite { std::vector<float> triangleVertices; } The draw function called in [Polygon draw]: + (void)drawTrianglesWithVertices:(const std::vector<float> &)v { //glEnableClientState(GL_VERTEX_ARRAY); glDisable(GL_TEXTURE_2D); glDisableClientState(GL_TEXTURE_COORD_ARRAY); glDisableClientState(GL_COLOR_ARRAY); glVertexPointer(2, GL_FLOAT, 0, &v[0]); glDrawArrays(GL_TRIANGLES, 0, v.size()); //glDisableClientState(GL_VERTEX_ARRAY); glEnableClientState(GL_COLOR_ARRAY); glEnableClientState(GL_TEXTURE_COORD_ARRAY); glEnable(GL_TEXTURE_2D); } Any ideas?

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  • How do I get a collision event from a KActor subclass?

    - by Almo
    I have a subclass of KActor, and I want an event when it collides with things. event RigidBodyCollision seems to be what I want according to this http://wiki.beyondunreal.com/UE3:Actor_events_%28UDK%29#RigidBodyCollision Called when a PrimitiveComponent this Actor owns has: -bNotifyRigidBodyCollision set to true -ScriptRigidBodyCollisionThreshold greater than 0 -it is involved in a physics collision where the relative velocity exceeds ScriptRigidBodyCollisionThreshold As far as I can tell, I have these set up, and the event is not called for any collisions (KActor-KActor, KActor-world geometry, etc). Is there something else I need to do?

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  • How to properly code in Unity? [on hold]

    - by Vincent B.
    I'm fairly new to Unity (yet I touched it and made a few proto with it) and I'd like to know how I'm supposed to work with it. I'm student in programming so I'm used to C/C++ with SDL/SFML, writing code and only using Input/Graphics/Network libs. I followed a few Unity guides and it was way more around drag & drop on scenes and a bit of scripting to activate it all, which disturbed me. So I fond a way to only use one GameObject and use a Singleton to launch code and display stuff (for 2d games at least). At the end of the day I make games not using "Instantiate" or such at all. Is it the right way ? Am I supposed to do this ? How much are your scenes populated (in a professional environment) ? When should I stop coding and start using the editor ?

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  • Which jar has JBox2d's p5 package

    - by Brantley Blanchard
    Using eclipse, I'm trying to write a simple hello world program in processing that simply draws a rectangle on the screen then has gravity drop it as seen in this Tutorial. The problem is that when I try to import the p5 package, it's not resolving so I can't declare my Physics object. I tried two things. Download the zip, unzip it, then import the 3 jars (library, serialization, & testbed) a. import org.jbox2d.p5.*; doesn't resolve but the others do b. Physics physics; doesn't resolve Download the older standalone testbed jar then import it a. Physics physics; doesn't resolve; Here is basically where I'm starting import org.jbox2d.util.nonconvex.*; import org.jbox2d.dynamics.contacts.*; import org.jbox2d.testbed.*; import org.jbox2d.collision.*; import org.jbox2d.common.*; import org.jbox2d.dynamics.joints.*; import org.jbox2d.p5.*; import org.jbox2d.dynamics.*; import processing.core.PApplet; public class MyFirstJBox2d extends PApplet { Physics physics; public void setup() { size(640,480); frameRate(60); initScene(); } public void draw() { background(0); if (keyPressed) { //Reset everything physics.destroy(); initScene(); } } public void initScene() { physics = new Physics(this, width, height); physics.setDensity(1.0f); physics.createRect(300,200,340,300); } }

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  • Can Layer Masks Achieve This Effect

    - by Julian
    If you look at the image below you will see the player surrounded by a dotted yellow box. The dotted yellow box is also part of the player and represented a portion of the player being masked from both rendering and affected by physics. My question is if layer masks in Unity can achieve the following effect. -In Area 1, the red box/animations of the player are visible and the rigidbody of this shape is affected by all Physics. -Any portion of the player that enters Area 2 makes the larger yellow box within the area become visible (and affected by physics) and vice versa for any portion of the smaller red box that enters. -This can persist when both entering and leaving either area from any direction. Thank you for any help!

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  • How can I derive force vectors from velocity vectors?

    - by PixelRouter
    I'm making a 2d shooter ala Geometry Wars. I've got my own simple physics at work driving the background grid and all my entities. To move anything in the world I apply a Vector2d force to it. The 'engine' calculates the resulting acceleration and therefore the velocity. I am trying to port some code I found which implements the classic 'Boids' flocking algorithm, but the code I have works by calculating the Boids' velocities directly, so If i use it as is, it bypasses my physics engine. How I can translate the velocity vectors into force vectors that I can apply to the Boids and which will result in the proper velocities via my physics engine.

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  • Assigning a colour to imorted obj. files that are being used as default material

    - by Salino
    I am having a problem with assigning a colour to the different meshes that I have on one object. The technique that I have used is the first approach on this site. Is it possible to export a simulation (animation) from Blender to Unity? So what I would like to do is the following. I have about 107 meshes that are different frames from my shape key animation of my blender model. What I would like to have is that the first mesh will be bright green and up to the 40th mesh the colour turns to be white /greyish... the best would be if I could assign every mesh by hand a colour, however they are all default materials. And if I assign the object a colour, the whole "animation" is going to be in that colour

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  • Why is my animation getting aborted?

    - by Homer_Simpson
    I have a class named Animation which handles my animations. The animation class can be called from multiple other classes. For example, the class Player.cs can call the animation class like this: Animation Playeranimation; Playeranimation = new Animation(TimeSpan.FromSeconds(2.5f), 80, 40, Animation.Sequences.forwards, 0, 5, false, true); //updating the animation public void Update(GameTime gametime) { Playeranimation.Update(gametime); } //drawing the animation public void Draw(SpriteBatch batch) { playeranimation.Draw(batch, PlayerAnimationSpritesheet, PosX, PosY, 0, SpriteEffects.None); } The class Lion.cs can call the animation class with the same code, only the animation parameters are changing because it's another animation that should be played: Animation Lionanimation; Lionanimation = new Animation(TimeSpan.FromSeconds(2.5f), 100, 60, Animation.Sequences.forwards, 0, 8, false, true); Other classes can call the animation class with the same code like the Player class. But sometimes I have some trouble with the animations. If an animation is running and then shortly afterwards another class calls the animation class too, the second animation starts but the first animation is getting aborted. In this case, the first animation couldn't run until it's end because another class started a new instance of the animation class. Why is an animation sometimes getting aborted when another animation starts? How can I solve this problem? My animation class: public class Animation { private int _animIndex, framewidth, frameheight, start, end; private TimeSpan PassedTime; private List<Rectangle> SourceRects = new List<Rectangle>(); private TimeSpan Duration; private Sequences Sequence; public bool Remove; private bool DeleteAfterOneIteration; public enum Sequences { forwards, backwards, forwards_backwards, backwards_forwards } private void forwards() { for (int i = start; i < end; i++) SourceRects.Add(new Rectangle(i * framewidth, 0, framewidth, frameheight)); } private void backwards() { for (int i = start; i < end; i++) SourceRects.Add(new Rectangle((end - 1 - i) * framewidth, 0, framewidth, frameheight)); } private void forwards_backwards() { for (int i = start; i < end - 1; i++) SourceRects.Add(new Rectangle(i * framewidth, 0, framewidth, frameheight)); for (int i = start; i < end; i++) SourceRects.Add(new Rectangle((end - 1 - i) * framewidth, 0, framewidth, frameheight)); } private void backwards_forwards() { for (int i = start; i < end - 1; i++) SourceRects.Add(new Rectangle((end - 1 - i) * framewidth, 0, framewidth, frameheight)); for (int i = start; i < end; i++) SourceRects.Add(new Rectangle(i * framewidth, 0, framewidth, frameheight)); } public Animation(TimeSpan duration, int frame_width, int frame_height, Sequences sequences, int start_interval, int end_interval, bool remove, bool deleteafteroneiteration) { Remove = remove; DeleteAfterOneIteration = deleteafteroneiteration; framewidth = frame_width; frameheight = frame_height; start = start_interval; end = end_interval; switch (sequences) { case Sequences.forwards: { forwards(); break; } case Sequences.backwards: { backwards(); break; } case Sequences.forwards_backwards: { forwards_backwards(); break; } case Sequences.backwards_forwards: { backwards_forwards(); break; } } Duration = duration; Sequence = sequences; } public void Update(GameTime dt) { PassedTime += dt.ElapsedGameTime; if (PassedTime > Duration) { PassedTime -= Duration; } var percent = PassedTime.TotalSeconds / Duration.TotalSeconds; if (DeleteAfterOneIteration == true) { if (_animIndex >= SourceRects.Count) Remove = true; _animIndex = (int)Math.Round(percent * (SourceRects.Count)); } else { _animIndex = (int)Math.Round(percent * (SourceRects.Count - 1)); } } public void Draw(SpriteBatch batch, Texture2D Textures, float PositionX, float PositionY, float Rotation, SpriteEffects Flip) { if (DeleteAfterOneIteration == true) { if (_animIndex >= SourceRects.Count) return; } batch.Draw(Textures, new Rectangle((int)PositionX, (int)PositionY, framewidth, frameheight), SourceRects[_animIndex], Color.White, Rotation, new Vector2(framewidth / 2.0f, frameheight / 2.0f), Flip, 0f); } }

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  • Is it safe to run multiple XNA ContentManager instances on multiple threads?

    - by Boinst
    My XNA project currently uses one ContentManager instance, and one dedicated background thread for loading all content. I wonder, would it be safe to have multiple ContentManager instances, each in it's own dedicated thread, loading different content at the same time? I'm prompted to ask this question because this article makes the following statement: If there are two textures created at the same time on different threads, they will clobber the other and you will end up with some garbage in the textures. I think that what the author is saying here, is that if I access one ContentManager simultaneously on two threads, I'll get garbage. But what if I have separate ContentManager instances for each thread? If no-one knows the answer already from experience, I'll go ahead and try it and see what happens.

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  • Pixel Shader Issues :

    - by Morphex
    I have issues with a pixel shader, my issue is mostly that I get nothing draw on the screen. float4x4 MVP; // TODO: add effect parameters here. struct VertexShaderInput { float4 Position : POSITION; float4 normal : NORMAL; float2 TEXCOORD : TEXCOORD; }; struct VertexShaderOutput { float4 Position : POSITION; }; VertexShaderOutput VertexShaderFunction(VertexShaderInput input) { input.Position.w = 0; VertexShaderOutput output; output.Position = mul(input.Position, MVP); // TODO: add your vertex shader code here. return output; } float4 PixelShaderFunction(VertexShaderOutput input) : SV_TARGET { return float4(1, 0, 0, 1); } technique { pass { Profile = 11.0; VertexShader = VertexShaderFunction; PixelShader = PixelShaderFunction; } } My matrix is calculated like this : Matrix MVP = Matrix.Multiply(Matrix.Multiply(Matrix.Identity, Matrix.LookAtLH(new Vector3(-10, 10, -10), new Vector3(0), new Vector3(0, 1, -0))), Camera.Projection); VoxelEffect.Parameters["MVP"].SetValue(MVP); Visual Studio Graphics Debug shows me that my vertex shader is actually working, but not the PixelShader. I striped the Shader to the bare minimums so that I was sure the shader was correct. But why is my screen still black?

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  • How to manage enemy movement and shoot in a shmup?

    - by whatever
    I'm wondering what is the best (or at least a good) way of managing enemies in a shoot-em-up. Basically, what I'd do would be a class that manages displaying and updating positions of all the enemies. But how to create good deplacements for enemies? A list of where-to-go points? gravitating around some fixed points (with ponderation, distance evaluation etc.)? Same question for the shoot patterns? Can you please put me on a track?

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  • IndexOutOfRangeException on World.Step after enabling/disabling a Farseer physics body?

    - by WilHall
    Earlier, I posted a question asking how to swap fixtures on the fly in a 2D side-scroller using Farseer Physics Engine. The ultimate goal being that the player's physical body changes when the player is in different states (I.e. standing, walking, jumping, etc). After reading this answer, I changed my approach to the following: Create a physical body for each state when the player is loaded Save those bodies and their corresponding states in parallel lists Swap those physical bodies out when the player state changes (which causes an exception, see below) The following is my function to change states and swap physical bodies: new protected void SetState(object nState) { //If mBody == null, the player is being loaded for the first time if (mBody == null) { mBody = mBodies[mStates.IndexOf(nState)]; mBody.Enabled = true; } else { //Get the body for the given state Body nBody = mBodies[mStates.IndexOf(nState)]; //Enable the new body nBody.Enabled = true; //Disable the current body mBody.Enabled = false; //Copy the current body's attributes to the new one nBody.SetTransform(mBody.Position, mBody.Rotation); nBody.LinearVelocity = mBody.LinearVelocity; nBody.AngularVelocity = mBody.AngularVelocity; mBody = nBody; } base.SetState(nState); } Using the above method causes an IndexOutOfRangeException when calling World.Step: mWorld.Step(Math.Min((float)nGameTime.ElapsedGameTime.TotalSeconds, (1f / 30f))); I found that the problem is related to changing the .Enabled setting on a body. I tried the above function without setting .Enabled, and there was no error thrown. Turning on the debug views, I saw that the bodies were updating positions/rotations/etc properly when the state was changes, but since they were all enabled, they were just colliding wildly with each other. Does Enabling/Disabling a body remove it from the world's body list, which then causes the error because the list is shorter than expected? Update: For such a straightforward issue, I feel this question has not received enough attention. Has anyone else experienced this? Would anyone try a quick test case? I know this issue can be sidestepped - I.e. by not disabling a body during the simulation - but it seems strange that this issue would exist in the first place, especially when I see no mention of it in the documentation for farseer or box2d. I can't find any cases of the issue online where things are more or less kosher, like in my case. Any leads on this would be helpful.

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  • c++ and SDL: How would I add tile layers with my area class as a singleton?

    - by Tony
    I´m trying to wrap my head around how to get this done, if at all possible. So basically I have a Area class, Map class and Tile class. My Area class is a singleton, and this is causing some confusion. I´m trying to draw like this: Background / Tiles / Entities / Overlay Tiles / UI. void C_Application::OnRender() { // Fill the screen black SDL_FillRect( Surf_Screen, &Surf_Screen->clip_rect, SDL_MapRGB( Surf_Screen->format, 0x00, 0x00, 0x00 ) ); // Draw background // Draw tiles C_Area::AreaControl.OnRender(Surf_Screen, -C_Camera::CameraControl.GetX(), -C_Camera::CameraControl.GetY()); // Draw entities for(unsigned int i = 0;i < C_Entity::EntityList.size();i++) { if( !C_Entity::EntityList[i] ) { continue; } C_Entity::EntityList[i]->OnRender( Surf_Screen ); } // Draw overlay tiles // Draw UI // Update the Surf_Screen surface SDL_Flip( Surf_Screen); } Would be nice if someone could give a little input. Thanks.

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  • Scaling sprite velocity / co-ordinatesin Android

    - by user22241
    I'm trying to find the answer to a question that I've had for a long time, but am having trouble finding it! I hope someone can help :-) I'm trying to find information on how to scale sprite velocity / movement / co-ordinates. What I mean by this is how do I get a sprite to move at the same speed relative to the screen size / DPI so that it takes the same amount of real-time to get from one side of the screen to the other? All of the posts pertaining to sprite scaling that I can find on the various forums relate to the size of the sprite, but this part of it I'm OK with so far, it's just that when I move a sprite, it kind of gets there at different speed depending on the dpi / resolution of the device. I hope I'm making sense. This is the code I have so far, instead of using explicit amounts, like 1, I'm using something like the following: platSpeedFloat= (1 * (dpi/160)); //Use '1' so on an MDPI screen, the sprite will move by 1 physical pixel Then basically what I'm doing is something like this: (all varialble previously declared) platSpeedSave+=platSpeedFloat; //Add the platSpeedFloat value to the current platSpeedSave value platSpeed=(int) platSpeedSave; //Cast to int so it can be checked in the following statement if (platSpeed==platSpeedSave) //Check the casted int value to float value stored previoiusly {floorY=floorY-platSpeed; //If they match then change the Y value platSpeedSave=0;} //Reset Would be grateful if someone could assists - hope I'm making sense. The above doesn't seems to work the sprite moves 'faster' on lower DPI screens. Thanks

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  • GPU optimization question: pre-computed or procedural?

    - by Jay
    Good morning, I'm learning shader program and need some general direction. I want to add noise to my laser beam (like this). Which is the best way to handle it? I could pre-compute an image and pass it to the shader. I could then use the image to change the opacity and easily animate the smoke by changing the offset of the texture lookup. I could also generate noise in the shader and do the same thing the texture was used for. Is it generally better to avoid I/O to the graphics card or the opposite? Thanks!

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  • How can I calculate the angle between two 2D vectors?

    - by Error 454
    I am working on some movement AI where there are no obstacles and movement is restricted to the XY plane. I am calculating two vectors, v, the facing direction of ship 1, and w, the vector pointing from the position of ship 1 to ship 2. I am then calculating the angle between these two vectors using the formula arccos((v · w) / (|v| · |w|)) The problem I'm having is that arccos only returns values between 0° and 180°. This makes it impossible to determine whether I should turn left or right to face the other ship. Is there a better way to do this?

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