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• Drawing a random x,y grid of objects within a prespective

  - by T Reddy

  I'm wrapping my head around OpenGL ES 2.0 and I think I'm trying to do something very simple, but I think the math may be eluding me. I created a simple, flat-ish cylinder in Blender that is 2 units in diameter. I want to create an arbitrary grid of these edge to edge (think of a checker board). I'm using a 3D perspective with GLKit: CGSize size = [[self view] bounds].size; _projectionMatrix = GLKMatrix4MakePerspective(GLKMathDegreesToRadians(45.0f), size.width/size.height, 0.1f, 100.0f); So, I managed to manually get all of these cylinders drawn on the screen just fine. However, I would like to understand how I can programmatically "fit" all of these cylinders on the screen at the same time given the camera location, screen size, cylinder diameter, and the number of rows/columns. So the net effect is that for small grids (i.e., 5x5) the objects are closer to the camera, but for large grids (i.e., 30x30) the objects are farther away. In either case, all of the cylinders are visible.

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• 2D Rectangle Collision Response with Multiple Rectangles

  - by Justin Skiles

  Similar to: Collision rectangle response I have a level made up of tiles where the edges of the level are made up of collidable rectangles. The player's collision box is represented by a rectangle as well. The player can move in 8 directions. The player's velocity is equal in X and Y directions and constant. Each update, I am checking the player's collision against all tiles that are a certain distance away. When the player collides with a rectangle, I am finding the intersection depth and resolving along the most shallow axis followed by the other axis. This resolution happens for both axes simultaneously. See below for two examples of situations where I am having trouble. Moving up-left against the left wall In the scenario below, the player is colliding with two tiles. The tile intersection depth is equal on both axes for the top tile and more shallow in the X axis for the middle tile. Because the player is moving up the wall, the player should slide in an upward direction along the wall. This works properly as long as the rectangle with the more shallow depth is evaluated first. If the equal intersection depth rectangle is evaluated first, there is a chance the player becomes stuck. Moving up-left against the top wall Here is an identical scenario with the exception that the collision is with the top wall. The same problem occurs at the corners when intersection depth is equal for both axes. I guess my overall question is: How can I ensure that collision response occurs on tiles that have non-equal intersection depth before tiles that have equal intersection depth in order to get around the weirdness that occurs at these corners. Sean's answer in the linked question was good, but his solution required having different velocity components in a certain direction. My situation has equal velocities, so there's no good way to tell which direction to resolve at corners. I hope I have made my explanation clear.

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• Get Specific depth values in Kinect (XNA)

  - by N0xus

  I'm currently trying to make a hand / finger tracking with a kinect in XNA. For this, I need to be able to specify the depth range I want my program to render. I've looked about, and I cannot see how this is done. As far as I can tell, kinect's depth values only work with pre-set ranged found in the depthStream. What I would like to do is make it modular so that I can change the depth range my kinect renders. I know this has been down before but I can't find anything online that can show me how to do this. Could someone please help me out? I have made it possible to render the standard depth view with the kinect, and the method that I have made for converting the depth frame is as follows (I've a feeling its something in here I need to set) private byte[] ConvertDepthFrame(short[] depthFrame, DepthImageStream depthStream, int depthFrame32Length) { int tooNearDepth = depthStream.TooNearDepth; int tooFarDepth = depthStream.TooFarDepth; int unknownDepth = depthStream.UnknownDepth; byte[] depthFrame32 = new byte[depthFrame32Length]; for (int i16 = 0, i32 = 0; i16 < depthFrame.Length && i32 < depthFrame32.Length; i16++, i32 += 4) { int player = depthFrame[i16] & DepthImageFrame.PlayerIndexBitmask; int realDepth = depthFrame[i16] >> DepthImageFrame.PlayerIndexBitmaskWidth; // transform 13-bit depth information into an 8-bit intensity appropriate // for display (we disregard information in most significant bit) byte intensity = (byte)(~(realDepth >> 8)); if (player == 0 && realDepth == 00) { // white depthFrame32[i32 + RedIndex] = 255; depthFrame32[i32 + GreenIndex] = 255; depthFrame32[i32 + BlueIndex] = 255; } // omitted other if statements. Simple changed the color of the pixels if they went out of the pre=set depth values else { // tint the intensity by dividing by per-player values depthFrame32[i32 + RedIndex] = (byte)(intensity >> IntensityShiftByPlayerR[player]); depthFrame32[i32 + GreenIndex] = (byte)(intensity >> IntensityShiftByPlayerG[player]); depthFrame32[i32 + BlueIndex] = (byte)(intensity >> IntensityShiftByPlayerB[player]); } } return depthFrame32; } I have a strong hunch it's something I need to change in the int player and int realDepth values, but i can't be sure.

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• Dynamic libraries are not allowed on iOS but what about this?

  - by tapirath

  I'm currently using LuaJIT and its FFI interface to call C functions from LUA scripts. What FFI does is to look at dynamic libraries' exported symbols and let the developer use it directly form LUA. Kind of like Python ctypes. Obviously using dynamic libraries is not permitted in iOS for security reasons. So in order to come up with a solution I found the following snippet. /* (c) 2012 +++ Filip Stoklas, aka FipS, http://www.4FipS.com +++ THIS CODE IS FREE - LICENSED UNDER THE MIT LICENSE ARTICLE URL: http://forums.4fips.com/viewtopic.php?f=3&t=589 */ extern "C" { #include <lua.h> #include <lualib.h> #include <lauxlib.h> } // extern "C" #include <cassert> // Please note that despite the fact that we build this code as a regular // executable (exe), we still use __declspec(dllexport) to export // symbols. Without doing that FFI wouldn't be able to locate them! extern "C" __declspec(dllexport) void __cdecl hello_from_lua(const char *msg) { printf("A message from LUA: %s\n", msg); } const char *lua_code = "local ffi = require('ffi') \n" "ffi.cdef[[ \n" "const char * hello_from_lua(const char *); \n" // matches the C prototype "]] \n" "ffi.C.hello_from_lua('Hello from LUA!') \n" // do actual C call ; int main() { lua_State *lua = luaL_newstate(); assert(lua); luaL_openlibs(lua); const int status = luaL_dostring(lua, lua_code); if(status) printf("Couldn't execute LUA code: %s\n", lua_tostring(lua, -1)); lua_close(lua); return 0; } // output: // A message from LUA: Hello from LUA! Basically, instead of using a dynamic library, the symbols are exported directly inside the executable file. The question is: is this permitted by Apple? Thanks.

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• What Type of Options should be on the Game Settings Menu?

  - by A13X

  I have seen a post about the main menu options here: UI: Main Menu options for mobile games. What options should be listed? What do users want to see? But I want to know what kind of options should/need to be available on the settings screen. I am making a rather simple 2D game for Android, but really I haven't found many aspects that warrant an options button or a check box besides turning the sound and music on/off. I was thinking graphics settings but then again, how many apps really need graphics settings besides immersive 3D ones?

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• Best way to render 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; 2) Render SVG to image of proper size at once. 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?

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• Impact of variable-length loops on GPU shaders

  - by Will

  Its popular to render procedural content inside the GPU e.g. in the demoscene (drawing a single quad to fill the screen and letting the GPU compute the pixels). Ray marching is popular: This means the GPU is executing some unknown number of loop iterations per pixel (although you can have an upper bound like maxIterations). How does having a variable-length loop affect shader performance? Imagine the simple ray-marching psuedocode: t = 0.f; while(t < maxDist) { p = rayStart + rayDir * t; d = DistanceFunc(p); t += d; if(d < epsilon) { ... emit p return; } } How are the various mainstream GPU families (Nvidia, ATI, PowerVR, Mali, Intel, etc) affected? Vertex shaders, but particularly fragment shaders? How can it be optimised?

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• How to create a thread in XNA for pathfinding?

  - by Dan

  I am trying to create a separate thread for my enemy's A* pathfinder which will give me a list of points to get to the player. I have placed the thread in the update method of my enemy. However this seems to cause jittering in the game every-time the thread is called. I have tried calling just the method and this works fine. Is there any way I can sort this out so that I can have the pathfinder on its own thread? Do I need to remove the thread start from the update and start it in the constructor? Is there any way this can work? Here is the code at the moment: bool running = false; bool threadstarted; System.Threading.Thread thread; public void update() { if (running == false && threadstarted == false) { thread = new System.Threading.Thread(PathThread); //thread.Priority = System.Threading.ThreadPriority.Lowest; thread.IsBackground = true; thread.Start(startandendobj); //PathThread(startandendobj); threadstarted = true; } } public void PathThread(object Startandend) { object[] Startandendarray = (object[])Startandend; Point startpoint = (Point)Startandendarray[0]; Point endpoint = (Point)Startandendarray[1]; bool runnable = true; // Path find from 255, 255 to 0,0 on the map foreach(Tile tile in Map) { if(tile.Color == Color.Red) { if (tile.Position.Contains(endpoint)) { runnable = false; } } } if(runnable == true) { running = true; Pathfinder p = new Pathfinder(Map); pathway = p.FindPath(startpoint, endpoint); running = false; threadstarted = false; } }

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• Unexpected results for projection on to plane

  - by ravenspoint

  I want to use this projection matrix: GLfloat shadow[] = { -1,0,0,0, 1,0,-1,1, 0,0,-1,0, 0,0,0,-1 }; It should cast object shadows onto the y = 0 plane from a point light at 1,1,-1. I create a rectangle in the x = 0.5 plane glBegin( GL_QUADS ); glVertex3f( 0.5,0.2,-0.5); glVertex3f( 0.5,0.2,-1.5); glVertex3f( 0.5,0.5,-1.5); glVertex3f( 0.5,0.5,-0.5); glEnd(); Now if I manually multiply these vertices with the matrix, I get. glBegin( GL_QUADS ); glVertex3f( 0.375,0,-0.375); glVertex3f( 0.375,0,-1.625); glVertex3f( 0,0,-2); glVertex3f( 0,0,0); glEnd(); Which produces a reasonable display ( camera at 0,5,0 looking down y axis ) So rather than do the calculation manually, I should be able to use the opengl model transormation. I write this code: glMatrixMode (GL_MODELVIEW); GLfloat shadow[] = { -1,0,0,0, 1,0,-1,1, 0,0,-1,0, 0,0,0,-1 }; glLoadMatrixf( shadow ); glBegin( GL_QUADS ); glVertex3f( 0.5,0.2,-0.5); glVertex3f( 0.5,0.2,-1.5); glVertex3f( 0.5,0.5,-1.5); glVertex3f( 0.5,0.5,-0.5); glEnd(); But this produces a blank screen! What am I doing wrong? Is there some debug mode where I can print out the transformed vertices, so I can see where they are ending up? Note: People have suggested that using glMultMatrixf() might make a difference. It doesn't. Replacing glLoadMatrixf( shadow ); with glLoadIdentity(); glMultMatrixf( shadow ); gives the identical result ( of course! )

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• Move projectile in direction the gun is facing

  - by Manderin87

  I am attempting to have a projectile follow the direction a gun is facing. When using the following code I am unable to make the projectile go in the right direction. float speed = .5f; float dX = (float) -Math.cos(Math.toRadians(degree)) * speed; float dY = (float) Math.sin(Math.toRadians(degree)) * speed; Can anyone tell me what I am doing wrong? The degree is the direction the gun is facing in degree's.

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• Comparing angles and working out the difference

  - by Thomas O

  I want to compare angles and get an idea of the distance between them. For this application, I'm working in degrees, but it would also work for radians and grads. The problem with angles is that they depend on modular arithmetic, i.e. 0-360 degrees. Say one angle is at 15 degrees and one is at 45. The difference is 30 degrees, and the 45 degree angle is greater than the 15 degree one. But, this breaks down when you have, say, 345 degrees and 30 degrees. Although they compare properly, the difference between them is 315 degrees instead of the correct 45 degrees. How can I solve this? I could write algorithmic code: if(angle1 > angle2) delta_theta = 360 - angle2 - angle1; else delta_theta = angle2 - angle1; But I'd prefer a solution that avoids compares/branches, and relies entirely on arithmetic.

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• library for octree or kdtree

  - by Will

  Are there any robust performant libraries for indexing objects? It would need frustum culling and visiting objects hit by a ray as well as neighbourhood searches. I can find lots of articles showing the math for the component parts, often as algebra rather than simple C, but nothing that puts it all together (apart from perhaps Ogre, which has rather more involved and isn't so stand-alone). Surely hobby game makers don't all have to make their own octrees? (Python or C/C++ w/bindings preferred)

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• Explicit resource loading in Ogre (Mogre)

  - by sebf

  I am just starting to learn Mogre and what I would like to do is to be able to load resources 'explicitly' (i.e. I just provide an absolute path instead of using a resource group tied to a directory). This is very different to manually loading resources, which I believe in Ogre has a very specific meaning, to build up the object using Ogres methods. I want to use Ogres resource management system/resource loading code, but to have finer control over which files are loaded and in what groups they are. I remember reading how to do this but cannot find the page again; I think its possible to do something like: Declare a resource group Declare the resource(s) (this is when the actual resource file name is provided) Initialise the resource group to actually load the resource(s) Is this the correct procedure? If so, is there any example code showing how to do this?

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• Scrolling a WriteableBitmap

  - by Skoder

  I need to simulate my background scrolling but I want to avoid moving my actual image control. Instead, I'd like to use a WriteableBitmap and use a blitting method. What would be the way to simulate an image scrolling upwards? I've tried various things buy I can't seem to get my head around the logic: //X pos, Y pos, width, height Rect src = new Rect(0, scrollSpeed , 480, height); Rect dest = new Rect(0, 700 - scrollSpeed , 480, height); //destination rect, source WriteableBitmap, source Rect, blend mode wb.Blit(destRect, wbSource, srcRect, BlendMode.None); scrollSpeed += 5; if (scrollSpeed > 700) scrollSpeed = 0; If height is 10, the image is quite fuzzy and moreso if the height is 1. If the height is a taller, the image is clearer, but it only seems to do a one to one copy. How can I 'scroll' the image so that it looks like it's moving up in a continuous loop? (The height of the screen is 700).

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• What happened to .fx files in D3D11?

  - by bobobobo

  It seems they completely ruined .fx file loading / parsing in D3D11. In D3D9, loading an entire effect file was D3DXCreateEffectFromFile( .. ), and you got a ID3DXEffect9, which had great methods like SetTechnique and BeginPass, making it easy to load and execute a shader with multiple techniques. Is this completely manual now in D3D11? The highest level functionality I can find is loading a SINGLE shader from an FX file using D3DX11CompileFromFile. Does anyone know if there's an easier way to load FX files and choose a technique? With the level of functionality provided in D3D11 now, it seems like you're better off just writing .hlsl files and forgetting about the whole idea of Techniques.

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• More Efficient Data Structure for Large Layered Tile Map

  - by Stupac

  It seems like the popular method is to break the map up into regions and load them as needed, my problem is that in my game there are many AI entities other than the player out performing actions in virtually all the regions of the map. Let's just say I have a 5000x5000 map, when I use a 2D array of byte's to render it my game uses around 17 MB of memory, as soon as I change that data structure to a my own defined MapCell class (which only contains a single field: byte terrain) my game's memory consumption rockets up to 400+ MB. I plan on adding layering, so an array of byte's won't cut it and I figure I'd need to add a List of some sort to the MapCell class to provide objects in the layers. I'm only rendering tiles that are on screen, but I need the rest of the map to be represented in memory since it is constantly used in Update. So my question is, how can I reduce the memory consumption of my map while still maintaining the above requirements? Thank you for your time! Here's a few snippets my C# code in XNA4: public static void LoadMapData() { // Test map generations int xSize = 5000; int ySize = 5000; MapCell[,] map = new MapCell[xSize,ySize]; //byte[,] map = new byte[xSize, ySize]; Terrain[] terrains = new Terrain[4]; terrains[0] = grass; terrains[1] = dirt; terrains[2] = rock; terrains[3] = water; Random random = new Random(); for(int x = 0; x < xSize; x++) { for(int y = 0; y < ySize; y++) { //map[x,y] = new MapCell(terrains[random.Next(4)]); map[x,y] = new MapCell((byte)random.Next(4)); //map[x, y] = (byte)random.Next(4); } } testMap = new TileMap(map, xSize, ySize); // End test map setup currentMap = testMap; } public class MapCell { //public TerrainType terrain; public byte terrain; public MapCell(byte itsTerrain) { terrain = itsTerrain; } // the type of terrain this cell is treated as /*public Terrain terrain { get; set; } public MapCell(Terrain itsTerrain) { terrain = itsTerrain; }*/ }

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• How should I plan the inheritance structure for my game?

  - by Eric Thoma

  I am trying to write a platform shooter in C++ with a really good class structure for robustness. The game itself is secondary; it is the learning process of writing it that is primary. I am implementing an inheritance tree for all of the objects in my game, but I find myself unsure on some decisions. One specific issue that it bugging me is this: I have an Actor that is simply defined as anything in the game world. Under Actor is Character. Both of these classes are abstract. Under Character is the Philosopher, who is the main character that the user commands. Also under Character is NPC, which uses an AI module with stock routines for friendly, enemy and (maybe) neutral alignments. So under NPC I want to have three subclasses: FriendlyNPC, EnemyNPC and NeutralNPC. These classes are not abstract, and will often be subclassed in order to make different types of NPC's, like Engineer, Scientist and the most evil Programmer. Still, if I want to implement a generic NPC named Kevin, it would nice to be able to put him in without making a new class for him. I could just instantiate a FriendlyNPC and pass some values for the AI machine and for the dialogue; that would be ideal. But what if Kevin is the one benevolent Programmer in the whole world? Now we must make a class for him (but what should it be called?). Now we have a character that should inherit from Programmer (as Kevin has all the same abilities but just uses the friendly AI functions) but also should inherit from FriendlyNPC. Programmer and FriendlyNPC branched away from each other on the inheritance tree, so inheriting from both of them would have conflicts, because some of the same functions have been implemented in different ways on the two of them. 1) Is there a better way to order these classes to avoid these conflicts? Having three subclasses; Friendly, Enemy and Neutral; from each type of NPC; Engineer, Scientist, and Programmer; would amount to a huge number of classes. I would share specific implementation details, but I am writing the game slowly, piece by piece, and so I haven't implemented past Character yet. 2) Is there a place where I can learn these programming paradigms? I am already trying to take advantage of some good design patterns, like MVC architecture and Mediator objects. The whole point of this project is to write something in good style. It is difficult to tell what should become a subclass and what should become a state (i.e. Friendly boolean v. Friendly class). Having many states slows down code with if statements and makes classes long and unwieldy. On the other hand, having a class for everything isn't practical. 3) Are there good rules of thumb or resources to learn more about this? 4) Finally, where does templating come in to this? How should I coordinate templates into my class structure? I have never actually taken advantage of templating honestly, but I hear that it increases modularity, which means good code.

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• How can I improve my Animation

  - by sharethis

  The first approaches in animation for my game relied mostly on sine and cosine functions with the time as parameter. Here is an example of a very basic jump I implemented. if(jumping) { height = sin(time); if(height < 0) jumping = false; // player landed player.position.z = height; } if(keydown(SPACE) && !jumping) { jumping = true; time = now(); // store the starting time } So my player jumped in a perfect sine function. That seems quite natural, because he slows down when he reached the top position, and in the fall he speeds up again. But patching every animation out of sine and cosine is stretched to its limits soon. So can I improve my animation and provide a more abstract layer?

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• Having troubles with LibNoise.XNA and generating tileable maps

  - by Jon

  Following up on my previous post, I found a wonderful port of LibNoise for XNA. I've been working with it for about 8 hours straight and I'm tearing my hair out - I just can not get maps to tile, I can't figure out how to do this. Here's my attempt: Perlin perlin = new Perlin(1.2, 1.95, 0.56, 12, 2353, QualityMode.Medium); RiggedMultifractal rigged = new RiggedMultifractal(); Add add = new Add(perlin, rigged); // Initialize the noise map int mapSize = 64; this.m_noiseMap = new Noise2D(mapSize, perlin); //this.m_noiseMap.GeneratePlanar(0, 1, -1, 1); // Generate the textures this.m_noiseMap.GeneratePlanar(-1,1,-1,1); this.m_textures[0] = this.m_noiseMap.GetTexture(this.graphics.GraphicsDevice, Gradient.Grayscale); this.m_noiseMap.GeneratePlanar(mapSize, mapSize * 2, mapSize, mapSize * 2); this.m_textures[1] = this.m_noiseMap.GetTexture(this.graphics.GraphicsDevice, Gradient.Grayscale); this.m_noiseMap.GeneratePlanar(-1, 1, -1, 1); this.m_textures[2] = this.m_noiseMap.GetTexture(this.graphics.GraphicsDevice, Gradient.Grayscale); The first and third ones generate fine, they create a perlin noise map - however the middle one, which I wanted to be a continuation of the first (As per my original post), is just a bunch of static. How exactly do I get this to generate maps that connect to each other, by entering in the mapsize * tile, using the same seed, settings, etc.?

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• Problem with DirectX scene-graph

  - by Alex

  I'm trying to implement a basic scene graph in DirectX using C++. I am using a left child-right sibling binary tree to do this. I'm having trouble updating each node's world transformation relative to its parent (and its parent's parent etc.). I'm struggling to get it to work recursively, though I can get it to work like this: for(int i = 0; i < NUM_OBJECTS; i++) { // Initialize to identity matrix. D3DXMatrixIdentity(&mObject[i].toWorldXForm); int k = i; while( k != -1 ) { mObject[i].toWorldXForm *= mObject[k].toParentXForm; k = mObject[k].parent; } } toWorldXForm is the object's world transform and toParentXForm is the object's transform relative to the parent. I want to do this using a method within my object class (the code above is in my main class). This is what I've tried but it doesn't work (only works with nodes 1 generation away from the root) if (this->sibling != NULL) this->sibling->update(toParentXForm); D3DXMatrixIdentity(&toWorldXForm); this->toWorldXForm *= this->toParentXForm; this->toWorldXForm *= toParentXForm; toParentXForm *= this->toParentXForm; if (this->child != NULL) this->child->update(toParentXForm); Sorry if I've not been clear, please tell me if there's anything else you need to know. I've no doubt it's merely a silly mistake on my part, hopefully an outside view will be able to spot the problem.

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• HedgeWar code confusion

  - by BluFire

  I looked at an open source project(HedgeWars) that was built using many programming languages such as C++ and Java. While I was looking through the code, I couldn't help noticing that all the math and physics were gone from the Java code. HedgeWars I imported the project file called "SDL-android-project" which was a sub folder to "android build" and project files. My question is where is all the math and physics inside the code? Do I have to look at the C++ code in order to see it? I think Hedgewars was originally programmed in C++ but the files are confusing be because of its size and the fact that it has several programming languages inside.

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• How to Align Gun with Bullets

  - by Shane

  I have a top-down 2D shooter. I have an image of a player holding a gun, that rotates to face the mouse. Please note that the gun isn't a separate image tethered to the player, but rather part of the player. Right now, bullets are created at the player's x and y. This works when the player is facing the right way, but not when they rotate. The bullets move in the right direction, but don't come from the gun. How can I fix this? TL;DR: When the player rotates, bullets don't come from gun. public void fire() { angle = sprite.getRotation(); System.out.println(angle); x = sprite.getX(); y = sprite.getY(); Bullet b = new Bullet(x, y, angle); Utils.world.addBullet(b); }

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• How to implement a game launch counter in LibGDX

  - by Vishal Kumar

  I'm writing a game using LibGDX in which I want to save the number of launches of a game in a text file. So, In the create() of my starter class, I have the following code ..but it's not working public class MainStarter extends Game { private int count; @Override public void create() { // Set up the application AppSettings.setUp(); if(SettingsManager.isFirstLaunch()){ SettingsManager.createTextFileInLocalStorage("gamedata"); SettingsManager.writeLine("gamedata", "Launched:"+count ,FileType.LOCAL_FILE ); } else{ SettingsManager.writeLine("gamedata", "Not First launch :"+count++ ,FileType.LOCAL_FILE ); } // // Load assets before setting the screen // ##################################### Assets.loadAll(); // Set the tests screen setScreen(new MainMenuScreen(this, "Main Menu")); } } What is the proper way to do this?

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• Understanding math used to determine if vector is clockwise / counterclockwise from your vector

  - by MTLPhil

  I'm reading Programming Game AI by Example by Mat Buckland. In the Math & Physics primer chapter there's a listing of the declaration of a class used to represent 2D vectors. This class contains a method called Sign. It's implementation is as follows //------------------------ Sign ------------------------------------------ // // returns positive if v2 is clockwise of this vector, // minus if anticlockwise (Y axis pointing down, X axis to right) //------------------------------------------------------------------------ enum {clockwise = 1, anticlockwise = -1}; inline int Vector2D::Sign(const Vector2D& v2)const { if (y*v2.x > x*v2.y) { return anticlockwise; } else { return clockwise; } } Can someone explain the vector rules that make this hold true? What do the values of y*v2.x and x*v2.y that are being compared actually represent? I'd like to have a solid understanding of why this works rather than just accepting that it does without figuring it out. I feel like it's something really obvious that I'm just not catching on to. Thanks for your help.

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• Calculate gears rotation for a realtime simulation

  - by nkint

  Hi I'm trying to do a game with real time simulations of gears. There is a big Gear with inside a smaller gear. I managed to draw gears with different diameters but equal size teeth, but if i try to move the smaller one inside the bigger one the movement is odd. see the animated gif. the biggest gear is in center C1 and the small in the center C2. I calculate C2 position in this way: C2.x = C1.x + C1_RADIUS-C2_RADIUS) * cos(t); C2.y = C1.y - C1_RADIUS-C2_RADIUS) * sin(t); for t that goes from 0 to TWO_PI in n steps. I apply as rotation the angle t, but maybe it is wrong and i have to calculate another rotation for get a perfect joint

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