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  • How to keep balance / Unlock items / achievement rules

    - by Mark Knol
    I'm working on an engine for a game, too learn javascript and just because its fun. I'm a flashdeveloper, I know how to build websites. Now making games is a different challenge, javascript is a challenge, but I'd love to learn how to structure code and what patterns are common. I dont mind if the game ever finish, I'm mostly interested in the programming part of it. I dont have a particular endresult in mind, so I'll see where it takes me. I currently have a system where you can buy items. The items cost a specified amount of gold, silver, diamonds etc. When you have selected and bought the item, it takes time before getting rewarded. When time is over, you are getting rewarded with other properties (gold, energy, diamonds). For example, you can buy an apple for 50gold, It takes a minute, you get rewarded with 75energy. Or if you take a run, it cost 50energy, it takes 5minutes, reward is 25gold and 25silver. These definitions is what i call actions. Currently I already have a system where this already works and I can define as much actions with as much properties as I want. The definitions I have kinda looks like this: {id:101, category:544, onInit:{gold:-75}, onComplete:{energy:75}, time:2000, name:"Apple", locked: false} {id:102, category:544, onInit:{gold:-135}, onComplete:{energy:145}, time:2000, name:"Banana", locked: false} {id:106, category:302, onInit:{energy:-50, power: -25}, onComplete:{gold:100, diamonds:2}, time:10000, name:"Run", locked: false} {id:107, category:302, onInit:{energy:-70, silver: -55}, onComplete:{gold:100}, time:10000, name:"Dance", locked: false} {id:108, category:302, onInit:{energy:-230, power: -355}, onComplete:{gold:70, silver:70}, time:10000, name:"Fitness", locked: false} Now, I would love to add a system where I can lock/unlock the actions using achievement rules. Lets say, if you buy 10 apples, you unlock a new action, like bananas which cost more, and reward more. In the future I maybe want to restrict achievements and actions to levels. I am kinda stuck how to structure this. I have 2 questions: Which patterns are used to define achievements? How/where are they defined? Should it be part of the action, or should it be a separate controller? Is it a good idea to register all completed actions to it? I think I want multiple types of achievement rules, Id love to hear some ideas how to develop it. How do you create/find a good balance, so the user does not get stuck or can cheat by repeat a pattern of actions to get too much rewards. I know there is not a simple answer and i'm lacking of a good game-concept, but I wonder if anyone created such a game and how you dealed and played with it.

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  • Is there any hueristic to polygonize a closed 2d-raster shape with n triangles?

    - by Arthur Wulf White
    Lets say we have a 2d image black on white that shows a closed geometric shape. Is there any (not naive brute force) algorithm that approximates that shape as closely as possible with n triangles? If you want a formal definition for as closely as possible: Approximate the shape with a polygon that when rendered into a new 2d image will match the largest number of pixels possible with the original image.

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  • Height Map Mapping to "Chunked" Quadrilateralized Spherical Cube

    - by user3684950
    I have been working on a procedural spherical terrain generator for a few months which has a quadtree LOD system. The system splits the six faces of a quadrilateralized spherical cube into smaller "quads" or "patches" as the player approaches those faces. What I can't figure out is how to generate height maps for these patches. To generate the heights I am using a 3D ridged multi fractals algorithm. For now I can only displace the vertices of the patches directly using the output from the ridged multi fractals. I don't understand how I generate height maps that allow the vertices of a terrain patch to be mapped to pixels in the height map. The only thing I can think of is taking each vertex in a patch, plug that into the RMF and take that position and translate into u,v coordinates then determine the pixel position directly from the u,v coordinates and determine the grayscale color based on the height. I feel as if this is the right approach but there are a few other things that may further complicate my problem. First of all I intend to use "height maps" with a pixel resolution of 192x192 while the vertex "resolution" of each terrain patch is only 16x16 - meaning that I don't have any vertices to sample for the RMF for most of the pixels. The main reason the height map resolution is higher so that I can use it to generate a normal map (otherwise the height maps serve little purpose as I can just directly displace vertices as I currently am). I am pretty much following this paper very closely. This is, essentially, the part I am having trouble with. Using the cube-to-sphere mapping and the ridged multifractal algorithm previously described, a normalized height value ([0, 1]) is calculated. Using this height value, the terrain position is calculated and stored in the first three channels of the positionmap (RGB) – this will be used to calculate the normalmap. The fourth channel (A) is used to store the height value itself, to be used in the heightmap. The steps in the first sentence are my primary problem. I don't understand how the pixel positions correspond to positions on the sphere and what positions are sampled for the RMF to generate the pixels if only vertices cannot be used.

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  • Updating games for iOS 6 and new iPhone/iPod Touch

    - by SundayMonday
    Say I have a game that runs full-screen on iPhone 4S and older devices. The balance of the game is just right for the 480 x 320 screen and associated aspect ratio. Now I want to update my game to run full-screen on the new iPhone/iPod Touch where the aspect ratio of the screen is different. It seems like this can be challenging for some games in terms of maintaining the "balance". For example if the extra screen space was just tacked onto the right side of Jet Pack Joyride the balance would be thrown off since the user now has more time to see and react to obstacles. Also it could be challenging in terms of code maintenance. Perhaps Jet Pack Joyride would slightly increase the speed of approaching obstacles when the game is played on newer devices. However this quickly becomes messy when extra conditional statements are added all over the code. One solution is to have some parameters that are set in once place at start-up depending on the device type. What are some strategies for updating iOS games to run on the new iPhone and iPod Touch?

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  • Circular motion on low powered hardware

    - by Akroy
    I was thinking about platforms and enemies moving in circles in old 2D games, and I was wondering how that was done. I understand parametric equations, and it's trivial to use sin and cos to do it, but could an NES or SNES make real time trig calls? I admit heavy ignorance, but I thought those were expensive operations. Is there some clever way to calculate that motion more cheaply? I've been working on deriving an algorithm from trig sum identities that would only use precalculated trig, but that seems convoluted.

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  • Libgdx ParallaxScrolling and TiledMaps

    - by kirchhoff
    I implemented ParallaxScrolling for my SideScroller project, everything is working but the tiled map (the most important part!). I've been trying out everything but it doesn't work (see the code below). I'm using ParallaxCamera from GdxTests, it's working perfectly for the background layers. I can't explain myself properly in english, so I recorded 2 videos: Before parallaxScrolling After parallaxScrolling As you can see, now the platforms appear in the middle of the Y-axis. I've got a Map class with 2 tiled maps, so I need two renderers too: private TiledMapRenderer renderer1; private TiledMapRenderer renderer2; public void update(GameCamera camera) { renderer1.setView(camera.calculateParallaxMatrix(1f, 0f), camera.position.x - camera.viewportWidth / 2, **camera.position.y - camera.viewportHeight/2**, camera.viewportWidth, camera.viewportHeight); renderer2.setView(camera.calculateParallaxMatrix(1f, 0f), camera.position.x - camera.viewportWidth / 2, **camera.position.y - camera.viewportHeight/2**, camera.viewportWidth, camera.viewportHeight); } In bold, the code I think I should change. I've tried changing parameters, even adding hardcoded values, etc, but one of two: 1. Nothing happens. 2. Platforms disappear. Here is some aditional code. The render method: world.update(delta); parallaxBackground.update(camera); clear(0.5f, 0.7f, 1.0f, 1); batch.setProjectionMatrix(camera.calculateParallaxMatrix(0, 0)); batch.disableBlending(); batch.begin(); batch.draw(background, -(int)background.getRegionWidth()/2, -(int)background.getRegionHeight()/2); batch.end(); batch.enableBlending(); parallaxBackground.draw(batch, camera); renderer.render(batch);

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  • the unity aspect ratio script looks good in computer but not in android phones

    - by Pooya Fayyaz
    I'm developing a game for android devices.and i have a script that solve the ratio problem but i have a problem in this code.and i dont know why.it looks perfect in computer even resize the game screen but in mobile phones have a problem.my game runs in landscape mode.this is the script : using UnityEngine; using System.Collections; using System.Collections.Generic; public class reso : MonoBehaviour { void Update() { // set the desired aspect ratio (the values in this example are // hard-coded for 16:9, but you could make them into public // variables instead so you can set them at design time) float targetaspect = 16.0f / 9.0f; // determine the game window's current aspect ratio float windowaspect = (float)Screen.width / (float)Screen.height; // current viewport height should be scaled by this amount float scaleheight = windowaspect / targetaspect; // obtain camera component so we can modify its viewport Camera camera = GetComponent<Camera>(); // if scaled height is less than current height, add letterbox if (scaleheight < 1.0f && Screen.width <= 490 ) { Rect rect = camera.rect; rect.width = 1.0f; rect.height = scaleheight; rect.x = 0; rect.y = (1.0f - scaleheight) / 2.0f; camera.rect = rect; } else // add pillarbox { float scalewidth = 1.0f / scaleheight; Rect rect = camera.rect; rect.width = scalewidth; rect.height = 1.0f; rect.x = (1.0f - scalewidth) / 2.0f; rect.y = 0; camera.rect = rect; } } } i figure that my problem occur in this part of the script: if (scaleheight < 1.0f) { Rect rect = camera.rect; rect.width = 1.0f; rect.height = scaleheight; rect.x = 0; rect.y = (1.0f - scaleheight) / 2.0f; camera.rect = rect; } and its look like this in my mobile phone in portrait: and in landscape mode:

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  • How can I factor momentum into my space sim?

    - by Josh Petite
    I am trying my hand at creating a simple 2d physics engine right now, and I'm running into some problems figuring out how to incorporate momentum into movement of a spaceship. If I am moving in a given direction at a certain velocity, I am able to currently update the position of my ship easily (Position += Direction * Velocity). However, if the ship rotates at all, and I recalculate the direction (based on the new angle the ship is facing), and accelerate in that direction, how can I take momentum into account to alter the "line" that the ship travels? Currently the ship changes direction instantaneously and continues at its current velocity in that new direction when I press the thrust button. I want it to be a more gradual turning motion so as to give the impression that the ship itself has some mass. If there is already a nice post on this topic I apologize, but nothing came up in my searches. Let me know if any more information is needed, but I'm hoping someone can easily tell me how I can throw mass * velocity into my game loop update.

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  • Toon/cel shading with variable line width?

    - by Nick Wiggill
    I see a few broad approaches out there to doing cel shading: Duplication & enlargement of model with flipped normals (not an option for me) Sobel filter / fragment shader approaches to edge detection Stencil buffer approaches to edge detection Geometry (or vertex) shader approaches that calculate face and edge normals Am I correct in assuming the geometry-centric approach gives the greatest amount of control over lighting and line thickness, as well eg. for terrain where you might see the silhouette line of a hill merging gradually into a plain? What if I didn't need pixel lighting on my terrain surfaces? (And I probably won't as I plan to use cell-based vertex- or texturemap-based lighting/shadowing.) Would I then be better off sticking with the geometry-type approach, or go for a screen space / fragment approach instead to keep things simpler? If so, how would I get the "inking" of hills within the mesh silhouette, rather than only the outline of the entire mesh (with no "ink" details inside that outline? Lastly, is it possible to cheaply emulate the flipped-normals approach, using a geometry shader? Is that exactly what the GS approaches do? What I want - varying line thickness with intrusive lines inside the silhouette... What I don't want...

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  • How to efficiently map tokens to code in a script interpreter?

    - by lithander
    I'm writing an interpreter for a simple scripting language where each line is a complete, executable command. (Like the instructions in assembler) When parsing a line I have to map the requested command to actual code. My current solution looks like this: std::string op, param1, param2; //parse line, identify op, param1, param2 ... //call command specific code if(op == "MOV") ExecuteMov(AsNumber(param1)); else if(op == "ROT") ExecuteRot(AsNumber(param1)); else if(op == "SZE") ExecuteSze(AsNumber(param1)); else if(op == "POS") ExecutePos((AsNumber(param1), AsNumber(param2)); else if(op == "DIR") ExecuteDir((AsNumber(param1), AsNumber(param2)); else if(op == "SET") ExecuteSet(param1, AsNumber(param2)); else if(op == "EVL") ... The more commands are supported the more string comparisions I'll have to do to identify and call the associated method. Can you point me to a more efficient implementation in the described scenario?

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  • What's the best game engine to use for my PC game project? [closed]

    - by user19860
    I'm in the planning phase of creating an action-rpg for the PC, and I'd like to create a League of Legends style look for the game (animated/cartoony). Any idea which engine best replicates this look? I ask because when I look at a lot of the UDk/Unreal games, they've all got the more realistic 3-D look that I'd like to avoid, so I was wondering if an alternate look was possible on that type of engine. Source SDK and Unity also look very interesting, I just don't know what types of visual capabilities these engines have. Thanks in advance.

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  • Method for spawning enemies according to player score and game time

    - by Sun
    I'm making a top-down shooter and want to scale the difficulty of the game according to what the score is and how much time has Passed. Along with this, I want to spawn enemies in different patterns and increase the intervals at which these enemies are shown. I'm going for a similar effect to Geometry wars. However, I can think of a to do this other than have multiple if-else statments, e.g. : if (score > 1000) { //spawn x amount if enemies } else if (score > 10000) { //spawn x amount of enemy type 1 & 2 } else if (score > 15000) { //spawn x amount of enemy type 1 & 2 & 3 } else if (score > 25000) { //spawn x amount of enemy type 1 & 2 & 3 //create patterns with enemies } ...etc What would be a better method of spawning enemies as I have described?

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  • Hide individual regions on a territory map

    - by Paul
    I have a map of adjacent irregularly-shaped territories. It happens to be a county map, but that's not important. In the game, the player only sees a few to start, and as he progresses to new territories, the ones adjacent to it are revealed. It's a territory-scale fog-of-war. I'm using Unity3D, and my inclination is to make a set of planes, each of which has an image of a single territory on it, and then arrange them manually like a jigsaw puzzle. It then is fairly easy to respond to a click on each region and also to mark the planes as visible or invisible, or even do clever things like fade or zoom on individual regions. This sounds like an arduous task, and if we need to change the visual design of the territories, we'd have to cut up the main map all over again into each of the individual pieces. Does anyone have a more elegant solution to this problem?

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  • Effects to make a speeding spaceship look faster

    - by Badescu Alexandru
    I have a spaceship and I've created a "boost" functionality that speeds up my spaceship, what effects should I implement to create the impression of high speed? I was thinking of making everything except my spaceship blurry but I think there would be something missing. Any ideas? Btw. I am working in XNA C# but if you aren't familiar to XNA describing some effects is still useful. The Game is 3d and i've attached some printscreens of the game This is in normal mode ( none boosted ) and here is the boosted mode ( the craft speeds up forward while the camera speeds in its normal speed , the non boosted speed )

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  • Processing component pools problem - Entity Subsystem

    - by mani3xis
    Architecture description I'm creating (designing) an entity system and I ran into many problems. I'm trying to keep it Data-Oriented and efficient as much as possible. My components are POD structures (array of bytes to be precise) allocated in homogeneous pools. Each pool has a ComponentDescriptor - it just contains component name, field types and field names. Entity is just a pointer to array of components (where address acts like an entity ID). EntityPrototype contains entity name and array of component names. Finally Subsystem (System or Processor) which works on component pools. Actual problem The problem is that some components dependents on others (Model, Sprite, PhysicalBody, Animation depends on Transform component) which makes a lot of problems when it comes to processing them. For example, lets define some entities using [S]prite, [P]hysicalBody and [H]ealth: Tank: Transform, Sprite, PhysicalBody BgTree: Transform, Sprite House: Transform, Sprite, Health and create 4 Tanks, 5 BgTrees and 2 Houses and my pools will look like: TTTTTTTTTTT // Transform pool SSSSSSSSSSS // Sprite pool PPPP // PhysicalBody pool HH // Health component There is no way to process them using indices. I spend 3 days working on it and I still don't have any ideas. In previous designs TransformComponent was bound to the entity - but it wasn't a good idea. Can you give me some advices how to process them? Or maybe I should change the overall design? Maybe I should create pools of entites (pools of component pools) - but I guess it will be a nightmare for CPU caches. Thanks

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  • Breakout clone, how to handle/design for collision detection/physics between objects?

    - by Zolomon
    I'm working on a breakout clone, and I wish to create some realistic physics effects for collision - angles on the paddle should allow the ball to bounce, as well as doing curve balls etc. I could use per-pixel based collision detection, but then I thought it might be easier with line/circle intersection testing. So, then I naturally consider making a polygon class for the line-based objects and use the built-in circle class for the circular objects. That sounds like an OK approach, right? And then just check for collision using the specified algorithm based on the objects that might be within each other's range?

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  • Collision detection in 3D space

    - by dreta
    I've got to write, what can be summed up as, a compelte 3D game from scratch this semester. Up untill now i have only programmed 2D games in my spare time, the transition doesn't seem tough, the game's simple. The only issue i have is collision detection. The only thing i could find was AABB, bounding spheres or recommendations of various physics engines. I have to program a submarine that's going to be moving freely inside of a cave system, AFAIK i can't use physics libraries, so none of the above solves my problem. Up untill now i was using SAT for my collision detection. Are there any similar, great algorithms, but crafted for 3D collision? I'm not talking about octrees, or other optimalizations, i'm talking about direct collision detection of one set of 3D polygons with annother set of 3D polygons. I thought about using SAT twice, project the mesh from the top and the side, but then it seems so hard to even divide 3D space into convex shapes. Also that seems like far too much computation even with octrees. How do proffessionals do it? Could somebody shed some light.

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  • Do leaderboard sets (in Game Center) allow 500 unique leaderboards?

    - by Korey Hinton
    The Game Kit Programming Guide for iOS claims: The number of different leaderboards allowed increases to 500 leaderboards per game when leaderboard sets have been enabled...Leaderboard sets offer developers the ability to combine several leaderboards into a single group. But their example (see image below) implies that a single leaderboard is placed into multiple leaderboard sets. Is that the only way to be able to use the full 500 leaderboards? by combining the same leaderboard into multiple sets? I want to be able to have 500 unique leaderboards that are not duplicated between sets. Is this possible?

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  • Cocos2d/Cocos2d-x Attaching an arrow (sprite) to another body sprite (person)

    - by Satchmo Brown
    I am trying to set up a simple bow and arrow game. When the arrow hits the enemy body, the arrow's body is deleted and the arrow sprite continues to update, keeping the position correct in relation to the enemy it hit. Picture an arrow sticking into a body and that body still rotating and moving. My problem is that the rotation is completely wrong when the enemy rotates. I know how to do this in 3d with matrix transformation but I can't seem to figure it out in 2d with Cocos. Here is my method. I save offset at which the arrow hit the enemy. Every frame, I make the rotation of the sprite match the rotation of the enemy. Then, I apply the offset I took initially which is where the arrow hit the enemy. When they rotate, they rotate about their respective anchors and I am wondering if I need to set the anchor of the arrow to the center of the sprite. Does anyone know of an easy way to do this. If not, I will try to create an algorithm where the anchor is set to the offset divided by the width and height of the sprite image hopefully giving me the correct anchor values. Then I assume I need to reposition the sprite. Does anyone have a simpler way to do this?

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  • iOS : Creating a 3D Compass

    - by Md. Abdul Munim
    Originally posted here: iOS : Creating a 3D Compass Hi everybody, Quite new in this forum.Posted the same question in stackoverflow and there some people suggested to shift it here, so that I can get a quick help from more specialists in this regard. So what's the big matter? Actually, I want to make a 3D metal compass in iOS which will have a movable cover. That is when you touch it by 3 fingers and try to move your fingers upward the cover keeps moving with your fingers and after certain distance it gets opened.Once you pull it down using 3 fingers again, it gets closed.I can not attach an image here as I don't have that much reputation. So I request you to check the original question at stack overflow that I linked at top. Is it possible using core animations and CALayers? Or would I have to use OpenGL ES? Please someone help me out, I am badly in need of it.And I need to complete it asap!

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  • Handling Players, enemies and attacks in HTML5

    - by Chris Morris
    I'm building a simple (currently) game with free roaming player and monsters on a map built by a 2D grid. I've been looking at the methods for implementing characters and enemies onto the screen and I've seen two seperate methods for doing this online. Drawing the player onto the screen canvas directly and refreshing the entire screen every FPS tick. Having a separate canvas to handle the player and moving the player canvas on top of the screen canvas via absolute positioning. I can see some pros and cons of both methods but what is generally the best method for doing this? I assume the second due to not having to drain resources by refreshing the map when the user is not moving, but the type of game will generally have constant movement.

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  • Radiosity using a hemisphere

    - by P. Avery
    I'm working on a radiosity processor. I'm projecting scene geometry onto a hemisphere at a high order of tessellation during a visibility pass onto a 1024x1024 render target. The problem is that the edges of certain triangles are not being rendered to the item buffer( render target )...so when I test certain edges( or pixels during pixel shader ) for visibility during a reconstruction pass, visible edges are not identified and as a result the pixel for that edge is discarded. One solution was to increase the resolution of the item buffer( up to 4096x4096 )...this helped and more edges were visible, however, this was not fullproof. How do I increase visibility? Here is a screenshot of a scene after radiosity is applied: the seams are edges along a triangle face that were not visible due to the resolution of the item buffer... fixed the problem by sampling the item buffer w/8 points:

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  • Questions about game states

    - by MrPlow
    I'm trying to make a framework for a game I've wanted to do for quite a while. The first thing that I decided to implement was a state system for game states. When my "original" idea of having a doubly linked list of game states failed I found This blog and liked the idea of a stack based game state manager. However there were a few things I found weird: Instead of RAII two class methods are used to initialize and destroy the state Every game state class is a singleton(and singletons are bad aren't they?) Every GameState object is static So I took the idea and altered a few things and got this: GameState.h class GameState { private: bool m_paused; protected: StateManager& m_manager; public: GameState(StateManager& manager) : m_manager(manager), m_paused(false){} virtual ~GameState() {} virtual void update() = 0; virtual void draw() = 0; virtual void handleEvents() = 0; void pause() { m_paused = true; } void resume() { m_paused = false; } void changeState(std::unique_ptr<GameState> state) { m_manager.changeState(std::move(state)); } }; StateManager.h class GameState; class StateManager { private: std::vector< std::unique_ptr<GameState> > m_gameStates; public: StateManager(); void changeState(std::unique_ptr<GameState> state); void StateManager::pushState(std::unique_ptr<GameState> state); void popState(); void update(); void draw(); void handleEvents(); }; StateManager.cpp StateManager::StateManager() {} void StateManager::changeState( std::unique_ptr<GameState> state ) { if(!m_gameStates.empty()) { m_gameStates.pop_back(); } m_gameStates.push_back( std::move(state) ); } void StateManager::pushState(std::unique_ptr<GameState> state) { if(!m_gameStates.empty()) { m_gameStates.back()->pause(); } m_gameStates.push_back( std::move(state) ); } void StateManager::popState() { if(!m_gameStates.empty()) m_gameStates.pop_back(); } void StateManager::update() { if(!m_gameStates.empty()) m_gameStates.back()->update(); } void StateManager::draw() { if(!m_gameStates.empty()) m_gameStates.back()->draw(); } void StateManager::handleEvents() { if(!m_gameStates.empty()) m_gameStates.back()->handleEvents(); } And it's used like this: main.cpp StateManager states; states.changeState( std::unique_ptr<GameState>(new GameStateIntro(states)) ); while(gamewindow::gameWindow.isOpen()) { states.handleEvents(); states.update(); states.draw(); } Constructors/Destructors are used to create/destroy states instead of specialized class methods, state objects are no longer static but

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  • Learning to optimize with Assembly

    - by niktehpui
    I am a second year student of Computer Games Technology. I recently finished my first prototype of my "kind" of own pathfinder (that doesn't use A* instead a geometrical approach/pattern recognition, the pathfinder just needs the knowledge about the terrain that is in his view to make decisions, because I wanted an AI that could actually explore, if the terrain is already known, then it will walk the shortest way easily, because the pathfinder has a memory of nodes). Anyway my question is more general: How do I start optimizing algorithms/loops/for_each/etc. using Assembly, although general tips are welcome. I am specifically looking for good books, because it is really hard to find good books on this topic. There are some small articles out there like this one, but still isn't enough knowledge to optimize an algorithm/game... I hope there is a modern good book out there, that I just couldn't find...

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  • Drag Gestures - fractional delta values

    - by Den
    I have an issue with objects moving roughly twice as far as expected when dragging them. I am comparing my application to the standard TouchGestureSample sample from MSDN. For some reason in my application gesture samples have fractional positions and deltas. Both are using same Microsoft.Xna.Framework.Input.Touch.dll, v4.0.30319. I am running both apps using standard Windows Phone Emulator. I am setting my break point immediately after this line of code in a simple Update method: GestureSample gesture = TouchPanel.ReadGesture(); Typical values in my app: Delta = {X:-13.56522 Y:4.166667} Position = {X:184.6956 Y:417.7083} Typical values in sample app: Delta = {X:7 Y:16} Position = {X:497 Y:244} Have anyone seen this issue? Does anyone have any suggestions? Thank you.

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