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• Is it better to cut and store all sprites needed from a spritesheet in memory, or cut them out just-in-time?

  - by xLite

  I'm not sure what's best practice here as I have little experience with this. Essentially what I am asking is... if it's better to get your single PNG with all your different sprites on it for use in-game, cut out every sprite on startup and store them in memory, then access the already-cut-out sprite from memory quickly or Only have the single PNG with all the different sprites residing in memory, and when you need, for example, a tree. You cut out the tree from the PNG and then continue to use it as normal. I imagine the former is more CPU friendly than the latter but less memory friendly, vice versa for the latter. I want to know what the norm is for game dev. This is a pixel based game using 2D art. Each PNG is actually an avatar's sprite sheet with each body part separated and then later joined to form the full body of the avatar.

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• 2-components color model

  - by Cyan

  RGB is the natural color model for OpenGL. But a lot of other color models exist. For example, CMY(K) for printers, YUV for JPEG, the little cousins YCbCr and YCoCg, HSL & HSV from the 70's, and so on. All these models tend to share a common property : they are based on 3 components. Therefore my question is : Does it exist a 2-components color model ? I'm surprised to not find any. I was expecting something along the line of Hue+light could exist. I guess it cannot be as "complete" as a true 3-components color model, but a fine-enough approximation will be good for my usecase. The end objective is to store the 2 components into a single BC5 texture (GL_COMPRESSED_RED_GREEN_RGTC2 in OpenGL). The 3rd component requires a second fetch into a second texture, which hurts performance.

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• Cannot create a neutral unit with a trigger

  - by Xitcod13

  I've been playing around with the starcraft UMS (Use map settings) for a while and usually i figure things out pretty quickly when im stuck. Alas not this time. I'm trying to place a neutral unit (player 12) using a trigger. It refuses to work. I'm using Scmdraft 2.0 as my editor (but i cant get it to work in other editors either) (all neutral units placed before the game starts are visible and all other triggers work fine. Also i created a text msg and it does displays it in-game so the trigger triggers ) For testing I created a trigger that looks like this: Player: neutral (i tried neutral players player 1 and all players as well) Condition: -always Action: -Create *1 Terran Medic* at '*location 022*' for *Neutral* (also tried neutral players) When I start the game nothing happens. Here is what I tried: I tried placing a start location for neutral player (player 12) I tried changing the owner under map properties of player 12 to neutral and computer from unused which was the default. Although it seems like it should be a common enough problem, I don't see it in any FAQ and I cant find anything about it when I Google it. Thanks in advance.

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• failbit is being set and I can't figure out why

  - by felipedrl

  I'm writing a MIDI file loader. Everything is going fine until at some track I get a failbit exception while trying to read from file. I can't figure out why, I've checked the file size and it's ok too. Upon checking "errno" and it returns "0". Any ideas? Thanks. The snippet follows: file.read(reinterpret_cast<char*>(&mHeader.id), sizeof(MidiHeader)); mTracks = new MidiTrack[mHeader.nTracks]; for (uint i = 0; i < mHeader.nTracks; ++i) { // this read fails on 6th i. I've checked hexadecimal file and it's // ok so far. file.read(reinterpret_cast<char*>(&mTracks[i].id), sizeof(uint)); if (file.fail()) { std::cerr << errno << std::endl; massert(false); } massert(mTracks[i].id == 0x6B72544D); file.read(reinterpret_cast<char*>(&mTracks[i].size), sizeof(uint)); mTracks[i].size = swapBytes(mTracks[i].size); mTracks[i].data = new char[mTracks[i].size]; file.read(mTracks[i].data, mTracks[i].size * sizeof(char)); totalBytesRead += 8 + mTracks[i].size; massert(totalBytesRead <= fileSize); }

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• Help decide HTML5 library or framework

  - by aoi

  I need a library or framework for small html5 contents and animation centric softwares. My priority isn't things like physics or network. I need fast rendering speed, support for touch event and most of all maximum compatibility across various platforms, including ios and android. I am pondering upon sprite js, crafty js, and kinetic js. But i can't really test the platform compatibilities, so can someone please tell me which one covers the maximum number of platforms, and if there are any better free alternatives?

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• Slopes in 2D Platformer

  - by Carlosrdz1

  I'm dealing with Slopes in a 2D platformer game I'm developing in XNA Game Studio. I was really tired of trying without success, until I found this post: 45° Slopes in a Tile based 2D platformer, and I solved part of the problem with the bummzack answer. Now I'm dealing with 2 more problems: 1) Inverted slopes: The post says: If you're only dealing with 45 degree angles, then it gets even simpler: y1 = y + (x1 - x) If the slope is the other way round, it's: y1 = y + (v - (x1 - x)) My question is, what if I'm dealing with slopes with less than 45 degree angles? Does y1 = y + (v - (x1 - x)) work? 2) Going down the slope: I can't find a better way to handle the "going down through the slope" situation, considering that my player can accelerate its velocity. Edit: I was about to post a image but I guess I need to have more reputation he he he... What I'm trying to say with "going down" is like walking towards the opposite direction, assuming that if you are walking to the right, you are incrementing your Y position because you are climbing the slope, but if you are walking to the left, you are decrementing your Y position.

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• JiglibX addition to existing project questions

  - by SomeXnaChump

  Got a very simple existing project, that basically contains a lot of cubes. Now I am wanting to add a physics system to it and JiglibX seemed like the simplest one with some tutorials out there. My main problem is that the physics don't seem to be working how I imagined, I expected my tower of cubes to come crashing down, but they dont seem to do anything. I think my problem is that my cubes do not inherit DrawableGameComponent, they are managed by a world object that will update and render them. So they are at no point put into the games component list. I am not sure if this means that JiglibX will not be able to interact with them as in all the tutorials there are no explicit calls to add the Body objects to the physics system, so I can only presume that they are using a static/singleton under the hood which automatically hooks in all things, or they use the game objects component list somehow. I also noticed that in alot of the tutorials they use the following when setting up the physics system: float timeStep = (float)gameTime.ElapsedGameTime.Ticks / TimeSpan.TicksPerSecond; PhysicsSystem.CurrentPhysicsSystem.Integrate(timeStep); Would it not be better to keep a local instance of the created PhysicsSystem object and just call myPhysicsSystem.Integrate(timeStep)?

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• OpenGL ES 2.0. Sprite Sheet Animation

  - by Project Dumbo Dev

  I've found a bunch of tutorials on how to make this work on Open GL 1 & 1.1 but I can't find it for 2.0. I would work it out by loading the texture and use a matrix on the vertex shader to move through the sprite sheet. I'm looking for the most efficient way to do it. I've read that when you do the thing I'm proposing you are constantly changing the VBO's and that that is not good. Edit: Been doing some research myself. Came upon this two Updating Texture and referring to the one before PBO's. I can't use PBO's since i'm using ES version of OpenGL so I suppose the best way is to make FBO's but, what I still don't get, is if I should create a Sprite atlas/batch and make a FBO/loadtexture for each frame of if I should load every frame into the buffer and change just de texture directions.

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• Using ImpactJS: How to set a publicly available variable

  - by Dave Voyles

  I'm trying to get an entity (a bullet, a grenade, and an explosive) from my player player. Specifically, I want the shootingRate of my bullet (how frequently it can be fired). How can I do this without having to call getEntityByType each time I fire this projectile? There has got to be a cleaner way from what I'm doing right now.... // Shooting var isShooting = ig.input.state('shoot'); if (isShooting && this.lastShootTimer.delta() > 0) { switch (this.activeWeapon) { case("EntityBullet"): ig.game.spawnEntity(this.activeWeapon, this.pos.x, this.pos.y - 10); var equipedWeap = ig.game.getEntitiesByType(EntityBullet); this.lastShootTimer.set(equippedWeap.shootingRate); console.log(equipedWeap.shootingRate); break; case("EntityGrenade"): ig.game.spawnEntity(this.activeWeapon, this.pos.x, this.pos.y +5); var equipedWeap = ig.game.getEntitiesByType(EntityGrenade); this.lastShootTimer.set(equipedWeap.shootingRate); console.log(EquipedWeap.shootingRate); break; case("EntityExplosiveBomb"): ig.game.spawnEntity(this.activeWeapon, this.pos.x, this.pos.y +5 ); var equipedWeap = ig.game.getEntitiesByType(EntityExplosiveBomb)[0]; this.lastShootTimer.set(equipedWeap.shootingRate); console.log(equipedWeap.shootingRate); break; } }

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• Putting a Java/Slick game on your website?

  - by MakesYouStranger

  I've made a simple little 2D game in Java using Slick and I want to embed it in my website. I'm just a little confused as to how to go about it, I'm guessing I need to export it as a WAR file? Sorry if this isn't really specific but oddly enough I couldn't find any information on this subject. I think I may lack the basic vernacular to describe my question, because most of my google and other searches turn up completely unrelated results any help would be appreciated, I just need a starting point. Thanks

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• Can there be an Environment that Reacts to Weather changes in-game?

  - by The415

  Just to be straightforward, I am completely new to many aspects of coding and am searching for different specs and guidelines to aid me on my journey to crafting a wonderful game in Epic Games' Unreal Engine 4. I had some recent thoughts about the possibility of creating an environment in a game that interacts with weather (Rain, Snow, Storms) Is it possible to make an environment that can simulate weather changes in a game? I wrote notes on this for weeks now. I was thinking that an increase on environments occlusion maps was necessary for creating the effect of rain on windows, as well as making a flowing liquid surface on windows that is only visible in rain. I was also considering the idea of additive bump-maps on meshes for snow, to simulate accumulation. Are these elements dynamic in Unreal 4? Can I implement them?

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• Help with timebased scoring algorithm

  - by Dave

  Im trying to devise an appropriate scoring system for my game. The game in essense has a finite number of tasks to complete (say 20) and the quicker you complete these task, the more points you get. I had devised a basic way of doing this using bands of time multiplied by a score for that band multiplied by the number of tasks solved within that time band i.e. (Time Band) = (Points) 1-5 sec = 15, 5-10 secs = 10, 10-20 secs = 5, 20-30 secs = 3, 40 secs onwards = 1, So for example if I did 3 tasks in the 1-5sec band i'd get 15*3=45points, if i found 10 in the 20-30sec band i'd get 3*10=30 points. Im sure there is a more mathematical way of doing this using powers of some kind but I just can't think how and hoping someone has already done something smilar.. Many thanks in advance

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• Embedding Pygame to C++ [closed]

  - by Pendertuga

  If embedding Pygame to C++ to have a game be an executable, is there any extra process I would have to use in order to use Pygame functions when embedding into C++? As opposed to just writing embedding code in C++ for normal Python code? To clear cut the question I want to know if it's the same process without having to call different functions. EDIT: My question is if I have to call different functions in C++ when embedding Python code that uses Pygame modules. I am NOT using pygame2exe nor py2exe. I never even mentioned those. My question is solely about code embedding.

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• What is the correct way to use glTexCoordPointer?

  - by RubyKing

  I'm trying to work out how to use this function glTexCoordPointer. The man page states that I must set a pointer to the first element of the array that uses the texture cordinate. Here is my array: static const GLfloat GUIVertices[] = { //FIRST QUAD 1.0f, 1.0f, 0.0f, 1.0f, 1.0f, 0.0f, -1.0f, 1.0f, 0.0f, 1.0f, 0.0f, 0.0f, -1.0f, 0.94f, 0.0f, 1.0f, 0.0f, 1.0f, 1.0f, 0.94f, 0.0f, 1.0f, 1.0f, 1.0f, //2ND QUAD // x y z w X Y 1.0f, -1.0f, 0.0f, 1.0f, 1.0f, 0.0f, -1.0f, -1.0f, 0.0f, 1.0f, 0.0f, 0.0f, -1.0f, -0.94f, 0.0f, 1.0f, 0.0f, 1.0f, 1.0f, -0.94f, 0.0f, 1.0f, 1.0f, 1.0, }; But how do I set the pointer correctly for the fifth element on the 2nd quad first row? I was thinking something like this: glTexCoordPointer(1, GL_FLOAT, 6, reinterpret_cast<const GLvoid *>(29 * sizeof(float)));

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• Complex event system for DungeonKeeper like game

  - by paul424

  I am working on opensource GPL3 game. http://opendungeons.sourceforge.net/ , new coders would be welcome. Now there's design question regarding Event System: We want to improve the game logic, that is program a new event system. I will just repost what's settled up already on http://forum.freegamedev.net/viewtopic.php?f=45&t=3033. From the discussion came the idea of the Publisher / Subscriber pattern + "domains": My current idea is to use the subscirbers / publishers model. Its similar to Observable pattern, but instead one subscribes to Events types, not Object's Events. For each Event would like to have both static and dynamic type. Static that is its's type would be resolved by belonging to the proper inherited class from Event. That is from Event we would have EventTile, EventCreature, EvenMapLoader, EventGameMap etc. From that there are of course subtypes like EventCreature would be EventKobold, EventKnight, EventTentacle etc. The listeners would collect the event from publishers, and send them subcribers , each of them would be a global singleton. The Listeners type hierachy would exactly mirror the type hierarchy of Events. In each constructor of Event type, the created instance would notify the proper listeners. That is when calling EventKnight the proper ctor would notify the Listeners : EventListener, CreatureLisener and KnightListener. The default action for an listner would be to notify all subscribers, but there would be some exceptions , like EventAttack would notify AttackListener which would dispatch event by the dynamic part ( that is the Creature pointer or hash). Any comments ? #include <vector> class Subscriber; class SubscriberAttack; class Event{ private: int foo; int bar; protected: // static std::vector<Publisher*> publishersList; static std::vector<Subscriber*> subscribersList; static std::vector<Event*> eventQueue; public: Event(){ eventQueue.push_back(this); } static int subscribe(Subscriber* ss); static int unsubscribe(Subscriber* ss); //static int reg_publisher(Publisher* pp); //static int unreg_publisher(Publisher* pp); }; // class Publisher{ // }; class Subscriber{ public: int (*newEvent) (Event* ee); Subscriber( ){ Event::subscribe(this); } Subscriber( int (*fp) (Event* ee) ):newEvent(fp){ Subscriber(); } ~Subscriber(){ Event::unsubscribe(this); } }; class EventAttack: Event{ private: int foo; int bar; protected: // static std::vector<Publisher*> publishersList; static std::vector<SubscriberAttack*> subscribersList; static std::vector<EventAttack*> eventQueue; public: EventAttack(){ eventQueue.push_back(this); } static int subscribe(SubscriberAttack* ss); static int unsubscribe(SubscriberAttack* ss); //static int reg_publisher(Publisher* pp); //static int unreg_publisher(Publisher* pp); }; class AttackSubscriber :Subscriber{ public: int (*newEvent) (EventAttack* ee); AttackSubscriber( ){ EventAttack::subscribe(this); } AttackSubscriber( int (*fp) (EventAttack* ee) ):newEventAttack(fp){ AttackSubscriber(); } ~AttackSubscriber(){ EventAttack::unsubscribe(this); } }; From that point, others wanted the Subject-Observer pattern, that is one would subscribe to all event types produced by particular object. That way it came out to add the domain system : Huh, to meet the ability to listen to particular game's object events, I though of introducing entity domains . Domains are trees, which nodes are labeled by unique names for each level. ( like the www addresses ). Each Entity wanting to participate in our event system ( that is be able to publish / produce events ) should at least now its domain name. That would end up in Player1/Room/Treasury/#24 or Player1/Creature/Kobold/#3 producing events. The subscriber picks some part of a tree. For example by specifiing subtree with the root in one of the nodes like Player1/Room/* ,would subscribe us to all Players1's room's event, and Player1/Creature/Kobold/#3 would subscribe to Players' third kobold's event. Does such event system make sense to you ? I have many implementation details to ask as well, but first let's start some general discussion. Note1: Notice that in the case of a fight between two creatues fight , the creature being attacked would have to throw an event, becuase it is HE/SHE/IT who have its domain address. So that would be BeingAttackedEvent() etc. I will edit that post if some other reflections on this would come out. Note2: the existing class hierarchy might be used to get the domains addresses being build in constructor . In a ctor you would just add + ."className" to domain address. If you are in a class'es hierarchy leaf constructor one might use nextID , hash or any other charactteristic, just to make the addresses distinguishable . Note3:subscribing to all entity's Events would require knowledge of all possible events produced by this entity . This could be done in one function call, but information on E produced would have to be handled for every Entity. SmartNote4 : Finding proper subscribers in a tree would be easy. One would start in particular Leaf for example Player1/Creature/Kobold/#3 and go up one parent a time , notifiying each Subscriber in a Node ie. : Player1/Creature/Kobold/* , Player1/Creature/* , Player1/* etc, , up to a root that is /* .<<<< Note5: The Event system was needed to have some way of incorporating Angelscript code into application. So the Event dispatcher was to be a gate to A-script functions. But it came out to this one.

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• 3d js map rendering

  - by gotha

  In the past I've done a 2D tile map using HTML, CSS and Javascript. Now I have the task of creating a 3D version using the same technologies - think of it like a space map where all planets have x/y/z positions. Currently, I have no idea to do this. Is there an existing library or something I can modify to do my job? If not, what method of rendering the map should I use? It needs to be as browser independent as possible, so I can't use webgl, flash or canvas. I'm considering plain JS & HTML or SVG (using Raphael for compatibility).

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• How do I get a new license for gDEBugger after the 1 free year?

  - by Byte56

  I downloaded the gDEBugger from gremedy over a year ago, with their one year free license. The license has since expired and their site says that I'll be presented with the option for 1 year free license the first time I run it after install. This doesn't happen when re-installing, it just tells me the license has expired. How do I get a new license? I use this regularly for debugging shader problems and performance testing my game.

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• Ad Service That Lets You Choose Your Ad, and Then Some [on hold]

  - by user3634450

  I'm trying to build an app for both Android and/or iOS where part of the gameplay actually involves ads as a texture. I need to be able to choose which ads I would like to use. I need to be able to be able to identify the ads (which if I can choose which ads show up in the app shouldn't be that hard). I need to be able to swap in and out new ads on what could possibly be a daily basis (and don't want to have to update the app to do it). And as if that wasn't too needy a list, I need to be able to load 50 ads from the pool of ads I deem fit, all to each and every user of the app at least every couple of days. I don't care if the ads pay, I'm not looking for clicks, but I don't want to have to make 50 fake ads every couple of days, from an "artistic" level I don't want the content to feel phony or fake, and I don't really have a way to load content to each user via some internet source (if anyone could name one that would be great). I'm not sure what kind of ad provider would like or even approve of this, in fact just what I've described might be against Google Play's or iTunes' content developer policies, but if anyone could give me any advice to steer me in the right direction it would be greatly appreciated, thank you.

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• Audio programming resources

  - by rashleighp

  I've been very interested in the last few months about getting in to audio programming (I'm from a musical background). I've been a .NET developer for two years and have also done some objective c for an iPhone app recently. I realise I would probably need to work on my C++ chops and have been having a play around with FMOD EX and doing a lot of research into the industry. I was just wondering if anyone could suggest some good resources for audio programming (be they websites, podcasts, books, videos, online courses etc). Anything from Fourier analysis, low level coding, audio engine creation to audio APIs. I just want to learn as much as possible! Thanks in advance.

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• webgame engine how does it works

  - by TWCrap

  Hy all, first off all, don't yell that i shouldn't start with it, i just want to know how that works... The thing is, how does the engine of an webgame works. A game like tribalwars, grepolis and forge of empires. How does that keeping alive work. I mean, a user is building an building, and quit the browser... The building is build even when the session of the user is expired. but the points of the user is updated when the building is finished... So how does that works. What do you guys think? do they have some kind of cronjob that is fired every second, and that walks throug the database, and search for finished buildings, and update's the stuff? or do you guys think that they do it difrent?!? I hope that i was clear. -NOTE- i don't need anny code, i'm just intrested in the progress behind the game... Greetingz Marc

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• How do I create a game that runs on Windows, iOS and Android?

  - by AspaApps

  I use C++ to create windows games and now I want to step into another other OS like Android or iOS. I'm totally familiar with C++ so I tried to create app for iOS using objective C it was working awesome. However, I also want to publish games for Android but not by using Java. I don't want to create a single game 5-6 times for other platforms. Is their any way that if I create game for Windows then it will work in Android and iOS ? Or should I use Action Script 3.0? If I use action script 3.0, will it require Flash player to run the game in Windows, Android, iOS?

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• How can I get my first-person character in Unity to move to a ledge with an animation?

  - by BallzOfSteel

  I'm trying to get this to happen: The character walks up to a large crate, the player presses a button, and an animation starts playing where the character climbs up on to the crate. (all in first person view). So far I tried this with normal "First Person Controller" Prefab in Unity. My code so far: function OnTriggerStay(other : Collider){ if(other.tag == "GrabZone"){ if(Input.GetKeyDown("e")){ animation.Play("JumpToLedge"); } } } However when i use this on The FPC it will always play from the position the animation is created on. I also tried to create an empty game object, placing the FPC in there. Gives same effect. I also tried just animating the graphics of the FPC alone. This seems to work but since the Character Controller itself is not animated that stays onthe ground. So the whole FPC wont work anymore. Is there anyway i could let this animation play on the local position the player is on at that time? Or can you think of any other logical solution for a grab and climb?

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• Java 2D Tile Collision

  - by opiop65

  I have been working on a way to do collision detection forever, and just can't figure it out. Here's my simple 2D array: for (int x = 0; x < 16; x++) { for (int y = 0; y < 16; y++) { map[x][y] = AIR; if(map[x][y] == AIR) { air.draw(x * tilesize, y * tilesize); } } } for (int x = 0; x < 16; x++) { for (int y = 6; y < 16; y++) { map[x][y] = GRASS; if(map[x][y] == GRASS) { grass.draw(x * tilesize, y * tilesize); } } } for (int x = 0; x < 16; x++) { for (int y = 8; y < 16; y++) { map[x][y] = STONE; if(map[x][y] == STONE) { stone.draw(x * tilesize, y * tilesize); } } } I want to do it with rectangles, and using the intersect() method, but how would I go about adding rectangles to all the tiles? Edit: My player moves like this: if(input.isKeyDown(Input.KEY_W)) { shiftY -= delta * speed; idY = (int) shiftY; if(shift == true) { shiftY -= delta * runspeed; } if(isColliding == true) { shiftY += delta * speed; } } if(input.isKeyDown(Input.KEY_S)) { shiftY += delta * speed; idY = (int) shiftY; if(shift == true) { shiftY += delta * runspeed; } if(isColliding == true) { shiftY -= delta * speed; } } if (input.isKeyDown(Input.KEY_A)) { steve = left; shiftX -= delta * speed; idX = (int) shiftX; if(shift == true) { shiftX -= delta * runspeed; } if(isColliding == true) { shiftX += delta * speed; } } if (input.isKeyDown(Input.KEY_D)) { steve = right; shiftX += delta * speed; idX = (int) shiftX; if(shift == true) { shiftX += delta * runspeed; } if(isColliding == true) { shiftX -= delta * speed; } } (I have tried my own collision code, but its horrible. Doesn't work in the slightest)

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• Can Google Translate's audio files be used in a game?

  - by ashes999

  For my game, I need text-to-speech. Since it's Android, I decided to settle for MP3s, since the range of words spoken is few. For my prototype, I'm using Google Translate to generate the audio since it has awesome pronounciation across multiple languages. But can I use it in production? What if I sell my game for $1 on the app store? All I can find on SE is that the API may be LGPL, and that the licensing page mentions the API is only available for academic research -- nothing more. My usage is a bit different; I'm actually capturing the audio bits and using those instead. I'm curious to know the license for this; I can't find anything with my Google-fu.

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• Quaternions, Axis Angles and Rotation Matrices. Which of these should I use for FP Camera?

  - by Afonso Lage

  After 2 weeks of reading many math formulas and such I know what is a Quaternion, an Axis Angles and Matrices. I have made my own math libary (Java) to use on my game (LWJGL). But I'm really confused about all this. I want to have a 3D first person camera. The move (translation) is working fine but the rotation isnt working like I need. I need a camera to rotate arround world Axis and not about its own axis. But even using Quaternions, this doesnt work and no matter how much I read about Euler Angles, everybody says to me dont touch on it! This is a little piece of code that i'm using to make the rotation: Quaternion qPitch = Quaternion.createFromAxis(cameraRotate.x, 1.0f, 0.0f, 0.0f); Quaternion qYaw = Quaternion.createFromAxis(cameraRotate.y, 0.0f, 1.0f, 0.0f); this.multiplicate(qPitch.toMatrix4f().toArray()); this.multiplicate(qYaw.toMatrix4f().toArray()); Where this is a Matrix4f view matrix and cameraRotate is a Vector3f that just handle the angles to rotate obtained from mouse move. So I think I'm doing everything right: Translate the view Matrix Rotate the Move Matrix So, after reading all this, I just want to know: To obtain a correct first person camera rotate, I must need to use Quaternios to make the rotations, but how to rotate around world axis? Thanks for reading it. Best regards, Afonso Lage

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