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• What is a good practice for 2D scene graph partitioning for culling?

  - by DevilWithin

  I need to know an efficient way to cull the scene graph objects, to render exclusively the ones in the view, and as fast as possible. I am thinking of doing it the following way, having in each object a local boundingbox which holds the object bounds, and a global boundingbox which holds the bounds of the object and all children. When a camera is moved, the render list is updated by traversing the global boundingboxes. When only the object is being moved, it tries to enlarge or shrink the ancestors global boundingboxes, and in the end updating or not the renderlist. What do you think of this approach? Do you think it will provide a fast and efficient culling? Also, because the render list is a contiguous list, it could accelerate the rendering, right? Any further tips for a 2D scene graphs are highly appreciated!

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• Undeclared Scope in Rock Paper Scissors Simple Game

  - by Rianelle

  #include <iostream> #include <string> #include <cstdlib> #include <ctime> using namespace std; bool win; int winnings; int draws; int loses; string comChoice; string playerChoice; void winGame () { cout << "You won! Play again?" <<endl; cout << "Type y/n" <<endl; char x; cin >> x; if (x == 'y') { beginGame(); } else if ('n'){ cout << "Game Stopped." <<endl; cout << "Number of Draws: " <<draws << endl; cout << "Number of Loses: " <<loses << endl; cout << "Number of Wins: " << winnings << endl; win = true; } } void drawGame (){ ++draws; cout << "Draw! Try again" << endl; return; } void lose () { cout << "You lose! Try again?" <<endl; cout << "Type y/n" <<endl; char feedback; cin >> feedback; if (feedback == 'y') { beginGame(); } else if ('n'){ cout << "Game Stopped." <<endl; cout << "Number of Draws: " <<draws << endl; cout << "Number of Loses: " <<loses << endl; cout << "Number of Wins: " << winnings << endl; } } void beginGame() { cout << "Welcome to the Rock, Paper and Scissors Game!" <<endl; cout << "Let's begin. Type <rock, paper, scissors> for your choice!" <<endl; cin >> playerChoice; srand(time(0)); int randomizer = 1+(rand()%3); if (randomizer == 1) comChoice = "rock"; if (randomizer == 2) comChoice = "paper"; if (randomizer == 3) comChoice = "scissors"; do { if (playerChoice == comChoice) { drawGame(); } if (playerChoice == "rock" && comChoice == "paper") ++loses; lose(); if (playerChoice == "rock" && comChoice == "scissors") ++winnings; winGame(); if (playerChoice == "paper" && comChoice == "rock") ++winnings; winGame(); if (playerChoice == "paper" && comChoice == "scissors") ++loses; lose(); if (playerChoice == "scissors" && comChoice == "rock") ++loses; lose(); if (playerChoice == "scissors" && comChoice == "paper") ++winnings; winGame(); }while (win != true); } int main () { beginGame(); return 0; }

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• Move the location of the XYZ pivot point on a mesh in UDK

  - by WebDevHobo

  When working with any mesh, you get an XYZ point somewhere on it. If you just want to move the mesh in any direction, it doesn't matter where this point is located. However, I want to rotate a door. This requires the point of rotation to be very specific. I can't find anywhere how to change the location of the point. Can anyone help? EDIT: solved, to change the pivot point, right click on the mesh, go to "Pivot" and move it. Then right click again and this time select "Save PrePivot to Pivot"

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• Why was my Facebook game rejected with the note that "your app icon must not overlap with content in your cover image?"

  - by peterwilli

  My FB game just recently got rejected for two reasons. The first I fixed, but I just can't see to figure out what they mean by the second, and I was hoping someone else got the same issue and did know what they meant. The remaining error is: Cover Image Your app icon must not overlap with content in your cover image. Click on 'Web Preview' in the 'App Details' section to check for overlap prior to submitting your app. See more here. All I know is that the rejection has something to do with the cover image, not the icons or the screenshots. The web preview of my game looks like this now: Please let me know what to do to get approved.

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• GAME MAKER Problem with sprites! Can't see the sprite after mouse action

  - by user46882

  I have got a problem in Game Maker Pro: http://www.directupload.net/file/d/3646/egdpdu6u_gif.htm At the start we see a white square moving. If I press a key the square stop to move and the background changes to white. If the background changes to white a new animation/sprite should play on the same position where the white square was. BUT IT DOESNT! (Actually it is still there! It just does not move and this is fine) The animation is basically a sprite animation with some outlines of the square. If I press a key again, the background changes to white and we see the animation of the sprite.. but we do not see the animation of the sprites when it does not move. And this is strange!! I want to have the animation of the square when it doesn't move. But I don't get it.. by the way.. the .gif is a old version. I allready fixed the problem with the moving animation.. but I am still not able to play the animation if the square does not fly. The color of the animation is allready set to green or something! for better contrast. But still.. can't see it. Here is the code: obj.weisse.kugel.stepevent = the white square with the movements and sprite animations etc. if (global.kweiss == 1 ) { // vspeed = 8; //visible = true // sprite_index=spr_weisse_kugel; image_speed = 0; image_index = 0; } else if (global.kweiss == 0) { sprite_index=spr_animation_fade_out; image_speed =0.2; image_index=image_number-1 vspeed = 0; //visible = false // } then I have 1 create event for all the global.variables obj.global_var globalvar kweiss; kweiss = 1; globalvar kschwarz; kschwarz = 0; and then I have 1 controll stepevent in a new obj: if device_mouse_check_button_pressed (0, mb_left) { if background_color = c_black { background_color = c_white } else { background_color = c_black } // change of the square to white if (global.kweiss = 0) { global.kweiss = 1; } else { global.kweiss = 0; } if (global.kschwarz = 0) // change the square to black (other bullets.. we do not need this at the moment!) { global.kschwarz = 1; } else { global.kschwarz = 0; } Many thanks in advance

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• GLSL Normals not transforming propertly

  - by instancedName

  I've been stuck on this problem for two days. I've read many articles about transforming normals, but I'm just totaly stuck. I understand choping off W component for "turning off" translation, and doing inverse/traspose transformation for non-uniform scaling problem, but my bug seems to be from a different source. So, I've imported a simple ball into OpenGL. Only transformation that I'm applying is rotation over time. But when my ball rotates, the illuminated part of the ball moves around just as it would if direction light direction was changing. I just can't figure out what is the problem. Can anyone help me with this? Here's the GLSL code: Vertex Shader: #version 440 core uniform mat4 World, View, Projection; layout(location = 0) in vec3 VertexPosition; layout(location = 1) in vec3 VertexColor; layout(location = 2) in vec3 VertexNormal; out vec4 Color; out vec3 Normal; void main() { Color = vec4(VertexColor, 1.0); vec4 n = World * vec4(VertexNormal, 0.0f); Normal = n.xyz; gl_Position = Projection * View * World * vec4(VertexPosition, 1.0); } Fragment Shader: #version 440 core uniform vec3 LightDirection = vec3(0.0, 0.0, -1.0); uniform vec3 LightColor = vec3(1f); in vec4 Color; in vec3 Normal; out vec4 FragColor; void main() { diffuse = max(0.0, dot(normalize(-LightDirection), normalize(Normal))); vec4 scatteredLight = vec4(LightColor * diffuse, 1.0f); FragColor = min(Color * scatteredLight, vec4(1.0)); }

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• Debugging Minimum Translation Vector

  - by SyntheCypher

  I implemented the minimum translation vector from codezealot's tutorial on SAT (Separating Axis Theorem) but I'm having an issue I can't quite figure out. Here's the example I have: As you can see in top and bottom left images regardless of the side the of the green car which red car is penetrating the MTV for the red car still remains as a negative number also here is the same example when the front of the red car is facing the opposite direction the number will always be positive. When the red car is past the half way through the green car it should switch polarity. I thought I'd compensated for this in my code, but apparently not either that or it's a bug I can find. Here is my function for finding and returning the MTV, any help would be much appreciated: Code

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• Strange behavior of RigidBody with gravity and impulse applied

  - by Heisenbug

  I'm doing some experiments trying to figure out how physics works in Unity. I created a cube mesh with a BoxCollider and a RigidBody. The cuve is laying on a mesh plane with a BoxCollider. I'm trying to update the object position applying a force on its RigidBody. Inside script FixedUpdate function I'm doing the following: public void FixedUpdate() { if (leftButtonPressed()) this.rigidbody.AddForce( this.transform.forward * this.forceStrength, ForceMode.Impulse); } Despite the object is aligned with the world axis and the force is applied along Z axis, it performs a quite big rotation movement around its y axis. Since I didn't modify the center of mass and the BoxCollider position and dimension, all values should be fine. Removing gravity and letting the object flying without touching the plane, the problem doesn't show. So I suppose it's related to the friction between objects, but I can't understand exactly which is the problem. Why this? What's my mistake? How can I fix this, or what's the right way to do such a moving an object on a plane through a force impulse?

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• Avoid double compression of resources

  - by user1095108

  I am using .pngs for my textures and am using a virtual file system in a .zip file for my game project. This means my textures are compressed and decompressed twice. What are the solutions to this double compression problem? One solution I've heard about is to use .tgas for textures, but it seems ages ago, since I've heard that. Another solution is to implement decompression on the GPU and, since that is fast, forget about the overhead.

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• How to capture the screen in DirectX 9 to a raw bitmap in memory without using D3DXSaveSurfaceToFile

  - by cloudraven

  I know that in OpenGL I can do something like this glReadBuffer( GL_FRONT ); glReadPixels( 0, 0, _width, _height, GL_RGB, GL_UNSIGNED_BYTE, _buffer ); And its pretty fast, I get the raw bitmap in _buffer. When I try to do this in DirectX. Assuming that I have a D3DDevice object I can do something like this if (SUCCEEDED(D3DDevice->GetBackBuffer(0, 0, D3DBACKBUFFER_TYPE_MONO, &pBackbuffer))) { HResult hr = D3DXSaveSurfaceToFileA(filename, D3DXIFF_BMP, pBackbuffer, NULL, NULL); But D3DXSaveSurfaceToFile is pretty slow, and I don't need to write the capture to disk anyway, so I was wondering if there was a faster way to do this

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• How can I select an audio output device in directshow

  - by Vibhore Tanwer

  I was wondering how I can select the output device for audio in directshow. I am able to get available audio output devices in directshow. But how can I make one of these to be audio output device. Its always going for the default audio device. I want to be able to output audio on my choice of device. I have been struggling through google but couldn't find anything useful. All I could get was this link but it doesn't really solve my problem. Any help will be really helpful for me.

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• How to make an Actor follow my finger

  - by user48352

  I'm back with another question that may be really simple. I've a texture drawn on my spritebatch and I'm making it move up or down (y-axis only) with Libgdx's Input Handler: touchDown and touchUp. @Override public boolean touchDown(int screenX, int screenY, int pointer, int button) { myWhale.touchDownY = screenY; myWhale.isTouched = true; return true; } @Override public boolean touchUp(int screenX, int screenY, int pointer, int button) { myWhale.isTouched = false; return false; } myWhale is an object from Whale Class where I move my texture position: public void update(float delta) { this.delta = delta; if(isTouched){ dragWhale(); } } public void dragWhale() { if(Gdx.input.getY(0) - touchDownY < 0){ if(Gdx.input.getY(0)<position.y+height/2){ position.y = position.y - velocidad*delta; } } else{ if(Gdx.input.getY(0)>position.y+height/2){ position.y = position.y + velocidad*delta; } } } So the object moves to the center of the position where the person is pressing his/her finger and most of the time it works fine but the object seems to take about half a second to move up or down and sometimes when I press my finger it wont move. Maybe there's another simplier way to do this. I'd highly appreciate if someone points me on the right direction.

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• How much localizations is too much for a game?

  - by Krom Stern

  We are making an RTS game and we intend to add localizations to all languages our players use. So far we have 16 locales and about 3-4 are being planned. Now some crazy ideas pop up from our community, players ask for "funny text" localizations. We have been already offered a pack that makes it for 1 of our languages. Now I was thinking where should we draw a line between official localizations which we include into the game and unofficial mods that players will have to install on their own? Obviously overcrowding locale selection menu with all sorts of funny locales (LOL-cat, redneck, welsh, medieval, simplified, etc.) for all the languages seems way too much. But is it really? What are the hidden pros and cons of having too much locales and how much is too much?

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• Any way to set up a grid for a board game in cocos 2d?

  - by Scott

  My first idea was to create a 2d array for my columns and rows, but it seems like there should be a better, or possibly cleaner, way to achieve this. Each square on the grid is going to have a background image, probably a .png although I might just draw the images with a draw method. Basically, I want to be able to drag and drop images onto the individual grid squares. I've been searching for a solution and the closest thing I can find is the tiled map solution. That just seems like a little overkill for what I'm trying to accomplish. Also, I don't know if this helps but i need my grid to be 12 by 12 and take up the entire width of the iphone screen.

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• Will making players pay a virtual currency before entering a match discourage them from playing?

  - by Bane

  I'm making a multiplayer match-making game, and by my current design, people will need to pay a small fee before joining a match. At the end of the match, the team that won will get the money. That will be a virtual currency, but still, will it discourage people to enter matches? I introduced it to make the matches matter more, because there's always a fear that you will loose your investments. I'm not talking about anything big here, but even a small amount might have a similar psychological effect as a bigger one.

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• Where can I find affordable legal advice for game software related inquiries?

  - by Steven Lu

  I am working on simulation middleware which is applicable for game engine implementations. What I would like to do is to make it freely available for use for all non-commercial purposes, while at the same time imposing some percentage of royalty on revenue (above a certain threshold) that is derived from my work. Something very similar to Epic's UDK licensing model. To facilitate the use of my software, I plan to offer binaries (static libs) for several platforms, as well as obfuscated source code which I will freely distribute, in addition to documentation of the API. I simply want to impose the restriction that if you try to make money from it, I get a cut eventually. I'm wondering if there are online forums and such where I am likely to find people who are willing to assist me in terms of learning what sort of things I have to do to get things down on the right kinds of documents. So far a site like this seems to be the most promising.

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• Multithreading 2D gravity calculations

  - by Postman

  I'm building a space exploration game and I've currently started working on gravity ( In C# with XNA). The gravity still needs tweaking, but before I can do that, I need to address some performance issues with my physics calculations. This is using 100 objects, normally rendering 1000 of them with no physics calculations gets well over 300 FPS (which is my FPS cap), but any more than 10 or so objects brings the game (and the single thread it runs on) to its knees when doing physics calculations. I checked my thread usage and the first thread was killing itself from all the work, so I figured I just needed to do the physics calculation on another thread. However when I try to run the Gravity.cs class's Update method on another thread, even if Gravity's Update method has nothing in it, the game is still down to 2 FPS. Gravity.cs public void Update() { foreach (KeyValuePair<string, Entity> e in entityEngine.Entities) { Vector2 Force = new Vector2(); foreach (KeyValuePair<string, Entity> e2 in entityEngine.Entities) { if (e2.Key != e.Key) { float distance = Vector2.Distance(entityEngine.Entities[e.Key].Position, entityEngine.Entities[e2.Key].Position); if (distance > (entityEngine.Entities[e.Key].Texture.Width / 2 + entityEngine.Entities[e2.Key].Texture.Width / 2)) { double angle = Math.Atan2(entityEngine.Entities[e2.Key].Position.Y - entityEngine.Entities[e.Key].Position.Y, entityEngine.Entities[e2.Key].Position.X - entityEngine.Entities[e.Key].Position.X); float mult = 0.1f * (entityEngine.Entities[e.Key].Mass * entityEngine.Entities[e2.Key].Mass) / distance * distance; Vector2 VecForce = new Vector2((float)Math.Cos(angle), (float)Math.Sin(angle)); VecForce.Normalize(); Force = Vector2.Add(Force, VecForce * mult); } } } entityEngine.Entities[e.Key].Position += Force; } } Yeah, I know. It's a nested foreach loop, but I don't know how else to do the gravity calculation, and this seems to work, it's just so intensive that it needs its own thread. (Even if someone knows a super efficient way to do these calculations, I'd still like to know how I COULD do it on multiple threads instead) EntityEngine.cs (manages an instance of Gravity.cs) public class EntityEngine { public Dictionary<string, Entity> Entities = new Dictionary<string, Entity>(); public Gravity gravity; private Thread T; public EntityEngine() { gravity = new Gravity(this); } public void Update() { foreach (KeyValuePair<string, Entity> e in Entities) { Entities[e.Key].Update(); } T = new Thread(new ThreadStart(gravity.Update)); T.IsBackground = true; T.Start(); } } EntityEngine is created in Game1.cs, and its Update() method is called within Game1.cs. I need my physics calculation in Gravity.cs to run every time the game updates, in a separate thread so that the calculation doesn't slow the game down to horribly low (0-2) FPS. How would I go about making this threading work? (any suggestions for an improved Planetary Gravity system are welcome if anyone has them) I'm also not looking for a lesson in why I shouldn't use threading or the dangers of using it incorrectly, I'm looking for a straight answer on how to do it. I've already spent an hour googling this very question with little results that I understood or were helpful. I don't mean to come off rude, but it always seems hard as a programming noob to get a straight meaningful answer, I usually rather get an answer so complex I'd easily be able to solve my issue if I understood it, or someone saying why I shouldn't do what I want to do and offering no alternatives (that are helpful). Thank you for the help!

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• In MMO game, how to handle user characters, who are offline?

  - by Deele

  In my medieval MMO game, players have their own character, that represents themselves inside game. Like a King. Players could have cities and armies, but King acts as main driving force. Then it comes to player, going offline/vacation/disconnect. How to deal with "offline King", to keep some sort of reality in game, without ruining everything for player. I have never liked unrealistic stuff in games, like appearing/dissapearing from thin air, like in WoW or other MMO RPG's, when it comes to connect/disconnect, like in Matrix movie, when you are disconnected, your "avatar" inside the system just vaninshes. Ok, if player char stays where it was left, other players who are online could kick his ass like offline player char was frozen? I see only one solution - give player char, while offline, some sort of AI, that controls char. Is there any other solutions? May be, some sort of legend/story, could make users only as inner-voice, leaving King just passively controlled by user, or other stuff... Please, help! I hope you understand my question.

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• Outline Shader Effect for Orthogonal Geometry in XNA

  - by Griffin

  I just recently started learning the art of shading, but I can't give an outline width to 2D, concave geometry when restrained to a single vertex/pixel shader technique (thanks to XNA). the shape I need to give an outline to has smooth, per-vertex coloring, as well as opacity. The outline, which has smooth, per-vertex coloring, variable width, and opacity cannot interfere with the original shape's colors. A pixel depth border detection algorithm won't work because pixel depth isn't a 3.0 semantic. expanding geometry / redrawing won't work because it interferes with the original shape's colors. I'm wondering if I can do something with the stencil/depth buffer outside of the shader functions since I have access to that through the graphics device. But I don't believe I'm able to manipulate actual values. How might I do this?

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• In concept how is Animation done?

  - by sharethis

  The first approaches in animation for my game relied mostly on sine and cosine functions with the time as parameter. As a jump a perfect sine function is acceptable but for motions of arms, weapons or face it would look quite unnatural. Moreover patching every animation out of sine and cosine is stretched to its limits soon. I head of skeletons and rigging already. Although I could not implement skeletal animations I can't imagine that quite natural animations in major games are made of static predefined motion states. So how in general is animation done today?

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• Trouble using Ray.Intersect method on bounding boxes in a 2D XNA game

  - by getsauce

  I am trying to use a ray and bounding box to determine if a box is between the player and the mouse pointer in 2D space. When I try testing the code, the collision will return true when pointed at the box but it also returns true under other circumstances where it shouldn't. For instance. If I have a player on the left and a box directly to the right, I can put the mouse pointer a few hundred pixels above the box or a few hundred below and it will still return true. Also, I can put my mouse pointer to the left of the player and in a certain area it will still return true. Does anyone have any idea what might cause this? I have left out definitions for some of my members and properties just to make this code sample easier to read. The position property is just a Vector2 for where each object is located. ray = new Ray(new Vector3(player.Position, 0), new Vector3(mouse.Position, 0); box = new BoundingBox(new Vector3(box.Position, 0), new Vector3( new Vector2(box.Position + box.Width, box.Position + box.Height), 0); if (ray.Intersects(box) != null) collision = true; else collision = false;

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• Calculating a child object's Position, Rotation and Scale values?

  - by Sergio Plascencia

  I am making my own game editor, but have encountered the following problem: I have two objects, A and B. A's initial values: Position: (3,3,3), Rotation: (45,10,0), Scale(1,2,2.5) B's initial values: Position: (1,1,1), Rotation: (10,34,18), Scale(1.5,2,1) If I now make B a child of A, I need to re-calculate the B's Position, Rotation and Scale relative to A such that it maintains its current position, rotation and scale in world coordinates. So B's position would now be (-2, -2, -2) since now A is its center and (-2, -2, -2) will keep B in the same position. I think I got the Position and scale figured out, but not rotation. So I opened Unity and ran the same example and I noticed that when making a child object, the child object did not move at all. but had its Position, Rotation and Scale values changed relative to the parent. For example: Unity (Parent Object "A"): Position: (0,0,0) Rotation: (45,10,0) Scale: (1,1,1) Unity (Child Object "B"): Position: (0,0,0) Rotation: (0,0,0) Scale: (1,1,1) When B becomes a child of A, it's rotation values become: X: -44.13605 Y: -14.00195 Z: 9.851074 If I plug the same rotation values into the B object in my editor, the object does not move at all. How did Unity arrive at those rotation values for the child? What are the calculations? If you can put all the equations for the Position, Rotation or Scale then I can double check I am doing it correctly but the Rotation is what I really need.

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• How should bots be recognised in a game?

  - by Bane

  I'm interested in how bots are usually written. Here's my situation: I plan to make an online 2D mecha game in HTML5, and the server-side will be done with node. It is intended to be multiplayer, but I also want to make bots in case there aren't enough players. How does my game logic see them, as players or as bots? Is there a standard by which I should make them? Also, any general tips and hints will be OK.

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• following a moving sprite

  - by iQue

  Im trying to get my enemies to follow my main-character of the game (2D), but for some reason the game starts lagging like crazy when I do it the way I want to do it, and the following-part dosnt work 100% either, its just 1/24 enemies that comes to my sprite, the other 23 move towards it but stay at a certain point. Might be a poor explenation but dont know how else to put it. Code for moving my enemies: private int enemyX(){ int x = 0; for (int i = 0; i < enemies.size(); i++){ if (controls.pointerPosition.x > enemies.get(i).getX()){//pointerPosition is the position of my main-sprite. x = 5; } else{ x=-5; } Log.d(TAG, "happyX HERE: " + controls.pointerPosition.x); Log.d(TAG, "enemyX HERE: " + enemies.get(i).getX()); } return x; } private int enemyY(){ int y = 0; for (int i = 0; i < enemies.size(); i++){ if (controls.pointerPosition.y > enemies.get(i).getY()){ y = 5; } else{ y=-5; } } return y; } I send it to the update-method in my Enemy-class: private void drawEnemy(Canvas canvas){ addEnemies(); // a method where I add enemies to my arrayList, no parameters except bitmap. for(int i = 0; i < enemies.size(); i++){ enemies.get(i).update(enemyX(), enemyY()); } for(int i = 0; i < enemies.size(); i++){ enemies.get(i).draw(canvas); } } and finally, the update-method itself, located in my Enemy-class: public void update(int velX, int velY) { x += velX; //sets x before I draw y += velY; //sets y before I draw currentFrame = ++currentFrame % BMP_COLUMNS; } So can any1 figure out why it starts lagging so much and how I can fix it? Thanks for your time!

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• Optimized algorithm for line-sphere intersection in GLSL

  - by fernacolo

  Well, hello then! I need to find intersection between line and sphere in GLSL. Right now my solution is based on Paul Bourke's page and was ported to GLSL this way: // The line passes through p1 and p2: vec3 p1 = (...); vec3 p2 = (...); // Sphere center is p3, radius is r: vec3 p3 = (...); float r = ...; float x1 = p1.x; float y1 = p1.y; float z1 = p1.z; float x2 = p2.x; float y2 = p2.y; float z2 = p2.z; float x3 = p3.x; float y3 = p3.y; float z3 = p3.z; float dx = x2 - x1; float dy = y2 - y1; float dz = z2 - z1; float a = dx*dx + dy*dy + dz*dz; float b = 2.0 * (dx * (x1 - x3) + dy * (y1 - y3) + dz * (z1 - z3)); float c = x3*x3 + y3*y3 + z3*z3 + x1*x1 + y1*y1 + z1*z1 - 2.0 * (x3*x1 + y3*y1 + z3*z1) - r*r; float test = b*b - 4.0*a*c; if (test >= 0.0) { // Hit (according to Treebeard, "a fine hit"). float u = (-b - sqrt(test)) / (2.0 * a); vec3 hitp = p1 + u * (p2 - p1); // Now use hitp. } It works perfectly! But it seems slow... I'm new at GLSL. You can answer this questions in two ways: Tell me there is no solution, showing some proof or strong evidence. Tell me about GLSL features (vector APIs, primitive operations) that makes the above algorithm faster, showing some example. Thanks a lot!

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