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• Converting a WIndows Store App to Android

  - by pm_2

  I cross posted this from SO I'm very new to Xamarin. I have a few published Windows Store apps and want to convert them to Android. I'm attempting to use Xamarin for this. I'm just using the free version of Xamarin. Here's where I am so far: I am trying two apps - one was build with Monogame and one is just build on the WinRT framework. I have managed to get them both into Xamarin studio, basically by hacking the csproj files. I'm getting build errors because it's missing references. There does appear to be some equivalent Mono / .Net4 libraries, but things like Microsoft.Xna.Framework seem to be missing. So, my question is: am I going about this the right way and, if so, am I missing a step ("convert dependencies" or something)? If I'm not going about this the right way then how should I be doing this (I found very few online resources on this subject)?

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• Can various browsers be assumed to maintain predictible state accurately in multiplayer online gaming?

  - by Nikos

  With many games it is said that server will assume that clients keep track of the world accurately. Assuming this is true, for a browser based multiplier space invaders game you would only tell the client when new bullets or the players ship moves and everything that behaves in a predetermined manner in the js client. It would be expected that positions would be the same in the browsers. Do you think you could trust browsers to do this? I feel that timings could differ between rendering loops and cause positions to get out of sync and might just get the server to maintain all the positions to make sure.

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• FPS camera specification

  - by user1095108

  I remember I once composed a FPS viewing transformation, as a composition of 3 rotations, each with an angle as a parameter. The first angle specified the left/right rotation around the y-axis, the second angle the up/down rotation around the x-axis, and the third around the z-axis. The viewing transformation was therefore specified by 3 angles. Naturally, this transformation had a gimbal lock, depending in what order the transformation were performed. What should I look at to derive my viewing transformation without the gimbal lock? I know the "lookAt" method already, but I consider that cumbersome. EDIT: MY first guess is to do the first 2 transformations to get a viewing direction and then the axis-angle rotation on this axis.

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• Adapting Javascript game for mobile

  - by Cardin

  I'm currently developing a Javascript web game for desktop users. It is a sort of tower-defense game that relies on mouse input only, developed on canvas using EaselJS. In the future, or perhaps simultaneously, I would like to adapt the game for mobile devices. I can see at least 3 potential areas in shifting from desktop to mobile: 1. resolution size and UI rearrangement, 2. converting mouse events to touch events, 3. distribution as native app wrapper or mobile Web. What would be the best strategy to facilitate this desktop to mobile conversion? For example, should I try to code the game for both platforms, or port the game UI over to mobile by branching the code base. Should I just publish on the mobile Web or wrap the game in a native app framework? And if I were to code for both platforms using the same codebase, should I register both click and touch events, or remap click events to touch using dispatchEvent?

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• How to create Button/Switch-Like Tile where you can step on it and change its value?

  - by aldroid16

  If the player step on Button-Tile when its true, it become false. If the player step on Button-Tile when its false, it become true. The problem is, when the player stand on (intersect) the Button-Tile, it will keep updating the condition. So, from true, it become false. Because its false and player intersect on it, it become true again. True-false-true-false and so on. I use ElapsedGameTime to make the updating process slower, and player can have a chance to change the Button to true or false. However, its not a solution I was looking for. Is there any other way to make it keep in False/True condition while the Player standing on it (The Button tile) ?

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• HTML5 Canvas A* Star Path finding

  - by Veyha

  I am trying to learn A* Star Path finding. Library I am using this - https://github.com/qiao/PathFinding.js But I am don't understand one thing how to do. I am need find path from player.x/player.y (player.x and player.y is both 0) to 10/10 This code return array of where I am need to move - var path = finder.findPath(player.x, player.y, 10, 10, grid); I am get array where I am need to move, but how to apply this array to my player.x and player.y? Array structure like - 0: 0 1: 0 length: 2, 0: 1 1: 0 length: 2, ... I am very sorry for my bad English language. Thanks.

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• Translate along local axis

  - by Aaron

  I have an object with a position matrix and a rotation matrix (derived from a quaternion, but I digress). I'm able to translate this object along world-relative vectors, but I'm trying to figure out how to translate it along local-relative vectors. So if the object is tilted 45 degrees around its Z-axis the vector (1, 0, 0) would make it move to the upper right. For world-space translations I simply turn the movement vector into a matrix and multiply it by the position matrix: position_mat = translation_mat * position_mat. For local-space translations I'd think I'd have to use the rotation matrix into that formula, but I see the object spin around instead when I apply a translation over time no matter where I multiply the rotation matrix.

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• How do I interpolate air drag with a variable time step?

  - by Valentin Krummenacher

  So I have a little game which works with small steps, however those steps vary in time, so for example I sometimes have 10 Steps/second and then I have 20 Steps/second. This changes automatically depending on how many steps the user's computer can take. To avoid inaccurate positioning of the game's player object I use y=v0*dt+g*dt^2/2 to determine my objects y-position, where dt is the time since the last step, v0 is the velocity of my object in the beginning of my step and g is the gravity. To calculate the velocity in the end of a step I use v=v0+g*dt what also gives me correct results, independent of whether I use 2 steps with a dt of for example 20ms or one step with a dt of 40ms. Now I would like to introduce air drag. For simplicity's sake I use a=k*v^2 where a is the air drag's acceleration (I am aware that it would usually result in a force, but since I assume 1kg for my object's mass the force is the same as the resulting acceleration), k is a constant (in this case I'm using 0.001) and v is the speed. Now in an infinitely small time interval a is k multiplied by the velocity in this small time interval powered by 2. The problem is that v in the next time interval would depend on the drag of the last which again depends on the v of the last interval and so on... In other words: If I use a=k*v^2 I get different results for my position/velocity when I use 2 steps of 20ms than when I use one step of 40ms. I used to have this problem for my position too, but adding +g*dt^2/2 to the formula for my position fixed the problem since it takes into account that the position depends on the velocity which changes slightly in every infinitely small time interval. Does something like that exist for air drag too? And no, I dont mean anything like Adding air drag to a golf ball trajectory equation or similar, for that kind of method only gives correct results when all my steps are the same. (I hope you can understand my intermediate english, it's not my main language so I would like to say sorry for all the silly mistakes I might have made in my question)

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• Tiled perlin/value noise texture with (2^n)+1 size

  - by tobi

  Actually what I have in mind is value noise I think, but what I am going to ask applies to both of them. It is known that if you want to produce tiled texture by using the perlin/value noise, the size of the texture should be specified as the power of 2 (2^n). Without any modifications to the algorithm when you use the size of (2^n)+1 the texture cannot be tiled anymore, so I am wondering whether it is possible (by modifying the algorithm somehow) to generate such tiling texture with the size of (2^n)+1. The article (from which I have my implementation) is here: http://devmag.org.za/2009/04/25/perlin-noise/ I am aware that I can produce texture with 2^n size and just copy twice the last column/row from the ends to make it (2^n)+1, but I don't want to, because such repetitions are visible too much.

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• Detailed Modern Opengl Tutorial?

  - by Kogesho

  I am asking for a specific modern opengl tutorial. I need a tutorial that does not skip to explain any lines of code. It should also include different independent objects moving/rotating (most tutorials use only one object), as well as imported 3d objects and collision detection for them. It should also avoid stuff that won't be used. Arcysnthesis for example gives a new concept, and after teaching it, in the next tutorial, it explains how bad it is for performance and introduces another method. Do you know any?

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• Fixing a collision detection bug in Slick2D

  - by Jesse Prescott

  My game has a bug with collision detection. If you go against the wall and tap forward/back sometimes the game thinks the speed you travelled at is 0 and the game doesn't know how to get you out of the wall. My collision detection works by getting the speed you hit the wall at and if it is positive it moves you back, if it is negative it moves you forward. It might help if you download it: https://rapidshare.com/files/1550046269/game.zip Sorry if I explained badly, it's hard to explain. float maxSpeed = 0.3f; float minSpeed = -0.2f; float acceleration = 0.002f; float deacceleration = 0.001f; float slowdownSpeed = 0.002f; float rotateSpeed = 0.08f; static float currentSpeed = 0; boolean up = false; boolean down = false; boolean noKey = false; static float rotate = 0; //Image effect system static String locationCarNormal; static String locationCarFront; static String locationCarBack; static String locationCarBoth; static boolean carFront = false; static boolean carBack = false; static String imageRef; boolean collision = false; public ComponentPlayerMovement(String id, String ScarNormal, String ScarFront, String ScarBack, String ScarBoth) { this.id = id; playerBody = new Rectangle(900/2-16, 700/2-16, 32, 32); locationCarNormal = ScarNormal; locationCarFront = ScarFront; locationCarBack = ScarBack; locationCarBoth = ScarBoth; imageRef = locationCarNormal; } @Override public void update(GameContainer gc, StateBasedGame sbg, int delta) throws SlickException { Input input = gc.getInput(); playerBody.transform(Transform.createRotateTransform(2)); float hip = currentSpeed * delta; float unstuckspeed = 0.05f * delta; if(carBack && !carFront) { imageRef = locationCarBack; ComponentImageRender.updateImage(); } else if(carFront && !carBack) { imageRef = locationCarFront; ComponentImageRender.updateImage(); } else if(carFront && carBack) { imageRef = locationCarBoth; ComponentImageRender.updateImage(); } if(input.isKeyDown(Input.KEY_RIGHT)) { rotate += rotateSpeed * delta; owner.setRotation(rotate); } if(input.isKeyDown(Input.KEY_LEFT)) { rotate -= rotateSpeed * delta; owner.setRotation(rotate); } if(input.isKeyDown(Input.KEY_UP)) { if(!collision) { up = true; noKey = false; if(currentSpeed < maxSpeed) { currentSpeed += acceleration; } MapCoordStorage.mapX += hip * Math.sin(Math.toRadians(rotate)); MapCoordStorage.mapY -= hip * Math.cos(Math.toRadians(rotate)); } else { currentSpeed = 1; } } else if(input.isKeyDown(Input.KEY_DOWN) && !collision) { down = true; noKey = false; if(currentSpeed > minSpeed) { currentSpeed -= slowdownSpeed; } MapCoordStorage.mapX += hip * Math.sin(Math.toRadians(rotate)); MapCoordStorage.mapY -= hip * Math.cos(Math.toRadians(rotate)); } else { noKey = true; if(currentSpeed > 0) { currentSpeed -= deacceleration; } else if(currentSpeed < 0) { currentSpeed += acceleration; } MapCoordStorage.mapX += hip * Math.sin(Math.toRadians(rotate)); MapCoordStorage.mapY -= hip * Math.cos(Math.toRadians(rotate)); } if(entityCollisionWith()) { collision = true; if(currentSpeed > 0 || up) { up = true; currentSpeed = 0; carFront = true; MapCoordStorage.mapX += unstuckspeed * Math.sin(Math.toRadians(rotate-180)); MapCoordStorage.mapY -= unstuckspeed * Math.cos(Math.toRadians(rotate-180)); } else if(currentSpeed < 0 || down) { down = true; currentSpeed = 0; carBack = true; MapCoordStorage.mapX += unstuckspeed * Math.sin(Math.toRadians(rotate)); MapCoordStorage.mapY -= unstuckspeed * Math.cos(Math.toRadians(rotate)); } else { currentSpeed = 0; } } else { collision = false; up = false; down = false; } if(currentSpeed >= -0.01f && currentSpeed <= 0.01f && noKey && !collision) { currentSpeed = 0; } } public static boolean entityCollisionWith() throws SlickException { for (int i = 0; i < BlockMap.entities.size(); i++) { Block entity1 = (Block) BlockMap.entities.get(i); if (playerBody.intersects(entity1.poly)) { return true; } } return false; } }

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• c++ most used libraries [on hold]

  - by Basaa

  I'm trying to find out whether or not I want to switch from Java to c++ for my OpenGL game programming. I now have setup a test project in VS 11 professional, with GLUT. I created my windows with GLUT, and I can render OpenGL primitives without any problems. Now my question: What library(s) is/are used mostly in the indie/semi professional industry for using OpenGL in c++? With 'using OpenGL' I mean: Creating and managing an OpenGL window Actually using the OpenGL API Handling user-input (keyboard/mouse)

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• What are some ways to texture map a terrain?

  - by ApocKalipsS

  I'm working with XNA on a 3D Game, and I'm trying to have a proper and nice environnement. I actually followed a tutorial to create a terrain from a heightmap. To texture it, I just apply a grass texture on it and tile it a number of times. But what I want to do is to have a really realistic texturing, but also generate it automatically (for example if I want to use Perlin noise to generate a terrain and then texture it). I already learned about multi-texturing, loading a map file with different colors for different textures, but I don't think this is really efficient, for instance for cliffs or very steep areas it will tile a texture badly as it's a view from the top. (Also, I don't know how I'll draw roads or dirt paths with that.) I'm looking for an efficient solution to realistically texture mapping procedurally-generated terrain.

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• Does Windows 8 still support DirectX 9?

  - by SullY

  Is Windows 8 supporting DirectX 9? Because I was looking through some samples written in C++ and DirectX 9 made for Windows 8. It wasn't that, like I know it ( look here http://directxtutorial.com/Lesson.aspx?lessonid=111-4-2 ). E.g. Inizialising DirectX with COM: ComPtr<ID3D11Device1> dev; ComPtr<ID3D11DeviceContext1> devcon; It's just weird because I know it with the old way: ID3D11Device *dev; ID3D11DeviceContext *devcon; ( I hope you understand what I want to tell ) I hope it hasn't change completely due the released their new OS.

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• Cloning a game and releasing the source

  - by Manux

  I'm not really aware of the legal issues surrounding game clones. I'm around halfway done of making a clone, but it's not just the same gaming concepts, I'm literally using the original game's files (which I do not intend to distribute in any way) in my clone. My original intention was to add features to the game (Firefly studios's first Stronghold) while still using the same art. Is it ok to distribute the source of my clone?

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• Good university for computer science with plans for Game Dev.

  - by DukeYore

  I am starting my Computer science degree at a local community college in Programming using C++. However, i will be transferring to a 4-year university. Does anyone have any insight on university programs? I know Cal State Fullerton has a degree with a minor in Game Dev. however, is that as important as getting a degree from a really great school? if i could shoot for something like Cal Poly would that be better? Or even Stanford or SF state being so close to so many gaming companies up there in the bay area? thank you in advance for any guidance.

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• Help with calculation to steer ship in 3d space

  - by Aaron Anodide

  I'm a beginner using XNA to try and make a 3D Asteroids game. I'm really close to having my space ship drive around as if it had thrusters for pitch and yaw. The problem is I can't quite figure out how to translate the rotations, for instance, when I pitch forward 45 degrees and then start to turn - in this case there should be rotation being applied to all three directions to get the "diagonal yaw" - right? I thought I had it right with the calculations below, but they cause a partly pitched forward ship to wobble instead of turn.... :( Here's current (almost working) calculations for the Rotation acceleration: float accel = .75f; // Thrust +Y / Forward if (currentKeyboardState.IsKeyDown(Keys.I)) { this.ship.AccelerationY += (float)Math.Cos(this.ship.RotationZ) * accel; this.ship.AccelerationX += (float)Math.Sin(this.ship.RotationZ) * -accel; this.ship.AccelerationZ += (float)Math.Sin(this.ship.RotationX) * accel; } // Rotation +Z / Yaw if (currentKeyboardState.IsKeyDown(Keys.J)) { this.ship.RotationAccelerationZ += (float)Math.Cos(this.ship.RotationX) * accel; this.ship.RotationAccelerationY += (float)Math.Sin(this.ship.RotationX) * accel; this.ship.RotationAccelerationX += (float)Math.Sin(this.ship.RotationY) * accel; } // Rotation -Z / Yaw if (currentKeyboardState.IsKeyDown(Keys.K)) { this.ship.RotationAccelerationZ += (float)Math.Cos(this.ship.RotationX) * -accel; this.ship.RotationAccelerationY += (float)Math.Sin(this.ship.RotationX) * -accel; this.ship.RotationAccelerationX += (float)Math.Sin(this.ship.RotationY) * -accel; } // Rotation +X / Pitch if (currentKeyboardState.IsKeyDown(Keys.F)) { this.ship.RotationAccelerationX += accel; } // Rotation -X / Pitch if (currentKeyboardState.IsKeyDown(Keys.D)) { this.ship.RotationAccelerationX -= accel; } I'm combining that with drawing code that does a rotation to the model: public void Draw(Matrix world, Matrix view, Matrix projection, TimeSpan elsapsedTime) { float seconds = (float)elsapsedTime.TotalSeconds; // update velocity based on acceleration this.VelocityX += this.AccelerationX * seconds; this.VelocityY += this.AccelerationY * seconds; this.VelocityZ += this.AccelerationZ * seconds; // update position based on velocity this.PositionX += this.VelocityX * seconds; this.PositionY += this.VelocityY * seconds; this.PositionZ += this.VelocityZ * seconds; // update rotational velocity based on rotational acceleration this.RotationVelocityX += this.RotationAccelerationX * seconds; this.RotationVelocityY += this.RotationAccelerationY * seconds; this.RotationVelocityZ += this.RotationAccelerationZ * seconds; // update rotation based on rotational velocity this.RotationX += this.RotationVelocityX * seconds; this.RotationY += this.RotationVelocityY * seconds; this.RotationZ += this.RotationVelocityZ * seconds; Matrix translation = Matrix.CreateTranslation(PositionX, PositionY, PositionZ); Matrix rotation = Matrix.CreateRotationX(RotationX) * Matrix.CreateRotationY(RotationY) * Matrix.CreateRotationZ(RotationZ); model.Root.Transform = rotation * translation * world; model.CopyAbsoluteBoneTransformsTo(boneTransforms); foreach (ModelMesh mesh in model.Meshes) { foreach (BasicEffect effect in mesh.Effects) { effect.World = boneTransforms[mesh.ParentBone.Index]; effect.View = view; effect.Projection = projection; effect.EnableDefaultLighting(); } mesh.Draw(); } }

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• correct pattern to handle a lot of entities in a game

  - by lezebulon

  In my game I usually have every NPC / items etc being derived from a base class "entity". Then they all basically have a virtual method called "update" that I would class for each entity in my game at every frame. I am assuming that this is a pattern that has a lot of downsides. What are some other ways to manage different "game objects" throughout the game? Are there other well-known patterns for this? My game is a RPG if that changes anything

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• Inputting cheat codes - hidden keyboard input

  - by Fibericon

  Okay, here's what I want to do - when the player is at the main menu, I want them to be able to type in cheat codes. That's the only place I want it to work. I don't want to give them a text box to type into. Rather, I want them to simply type in a word (let's say "cheat", just for simplicity sake) that activates the cheat code. I only need to capture keyboard input when the window is in focus. What can I do to accomplish this?

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• What's the best way to move cars along roads

  - by David Thielen

  I am implementing car movement game (sort-of like Locomotion). So 60 times a second I have to advance the movement of each car. The problem is I have to look ahead to see if there is a slower car, stop sign, or red light ahead. And then slow down appropiately. I also want to have the cars take time to go from stopped to full speed and again to slow down. I'm not implementing full-blown physics, but just a tick by tick speed up/slow down as that provides most of the realism to match what people expect to see. The best I've come up with is to walk out the full distance the car would travel of it was slowing to a stop and see if anywhere along that path it needed to slow down or stop. And then move it forward appropiately. I am moving the cars 60 times a second so I need this to be fast. And walking out that whole path each tick strikes me as processor intensive. What's the best way to do this?

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• Are there some methodologies to define a game's rules?

  - by bAN

  I would like to write some rules for a game I have in head but I don't know how to do that. So are there some methodologies or modeling tools (like UML) to do that? I'm thinking about a kind of tree of competencies or some kind of map to be sure that the game is well balanced. I always wonder how the team who imagines some powers in magic the gathering for example does it. Do they have some diagrams to be sure the powers or creatures they imagine are well balanced for the entire game? I'm pretty noob in the game creation so I'll be happy with some directions to seek.. Technical terms or basic principles to learn. Thanks for help.

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• Vector-based fonts vs. bitmap fonts in (2d) games?

  - by jmp97

  I know that many games are using bitmap fonts. Which are the advantages for vector-based font rendering / manipulation when compared to bitmap fonts and in which scenarios would they matter the most? Prefer a focus on 2d games when answering this question. If relevant, please include examples for games using either approach. Some factors you might consider: amount of text used in the game scaling of text overlaying glyphs and anti-aliasing general rendering quality font colors and styling user interface requirements localisation / unicode text wrapping and formatting cross-platform deployment 2d vs 3d Background: I am developing a simple falling blocks game in 2d, targeted for pc. I would like to add text labels for level, score, and menu buttons. I am using SFML which uses FreeType internally, so vector-based features are easily available for my project. In my view, font sizes in simple games often don't vary, and bitmap fonts should be easier for cross-platform concerns (font-formats and font rendering quality). But I am unsure if I am missing some important points here, especially since I want to polish the looks of the final game.

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• XNA 4: RenderTarget2D textures getting transparent on fullscreen

  - by Shashwat

  I'm generating a Texture2D object using RenderTarget2D as in the following code public static Texture2D GetTextTexture(string text, Vector2 position, SpriteFont font, Color foreColor, Color backColor, Texture2D background=null) { int width = (int)font.MeasureString(text).X; int height = (int)font.MeasureString(text).Y; GraphicsDevice device = Settings.game.GraphicsDevice; SpriteBatch spriteBatch = Settings.game.spriteBatch; RenderTarget2D renderTarget = new RenderTarget2D(device, width, height, false, SurfaceFormat.Color, DepthFormat.Depth24Stencil8, device.PresentationParameters.MultiSampleCount, RenderTargetUsage.DiscardContents); device.SetRenderTarget(renderTarget); device.Clear(backColor); spriteBatch.Begin(SpriteSortMode.Immediate, BlendState.Opaque); if (background != null) spriteBatch.Draw(background, new Rectangle(0, 0, 70, 70), Color.White); spriteBatch.End(); spriteBatch.Begin(); spriteBatch.DrawString(font, text, position, foreColor, 0, new Vector2(0), 0.8f, SpriteEffects.None, 0); spriteBatch.End(); device.SetRenderTarget(null); ResetGraphicsDeviceSettings(); return (Texture2D)renderTarget; } It's working all fine. But when I ToggleFullScreen() (and vice-versa), the previous textures are getting transparent. However, the new textures after that are being generated correctly. What can be the reason for this?

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• How do I properly center Nifty GUI elements on screen?

  - by Jason Crosby

  I am new to JME3 game engine but I know Android XML GUI layouts pretty good. I have a simple layout here and I cant figure out what is wrong. Here is my XML code: <?xml version="1.0" encoding="UTF-8"?> <nifty xmlns="http://nifty-gui.sourceforge.net/nifty-1.3.xsd" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://nifty-gui.sourceforge.net/nifty-1.3.xsd http://nifty-gui.sourceforge.net/nifty-1.3.xsd"> <useControls filename="nifty-default-controls.xml" /> <useStyles filename="nifty-default-styles.xml" /> <screen id="start" controller="com.jasoncrosby.game.farkle.gui.MenuScreenGui"> <layer id="layer" backgroundColor="#66CD00" childLayout="center"> <panel id="panel" align="center" valign="center" childLayout="center" visibleToMouse="true"> <image filename="Textures/wood_floor.png" height="95%" width="95%"/> <panel id="panel" align="center" valign="center" childLayout="center" visibleToMouse="true"> <text text="test" font="Interface/Fonts/Eraser.fnt"></text> </panel> </panel> </layer> </screen> Everything works well until I get to displaying the text. I have tried different alignments and tried moving the text into different panels but no matter what I do the text is never in the center of the screen. It's always in the upper left corner, so far I can only see the lower right part of the text. How can I center the text element in the center of the screen?

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• Best way to calculate unit deaths in browser game combat?

  - by MikeCruz13

  My browser game's combat system is written and mechanically functioning well. It's written in PHP and uses a SQL database. I'm happy with the unit balance in relation to one another. I am, however, a little worried about how I'm calculating unit deaths when one player attacks another because the deaths seem to pile up a little fast for my taste. For this system, a battle doesn't just trigger, calculate winner, and end. Instead, it is allowed to go for several rounds (say one round every 15 mins.) until one side passes a threshold of being too strong for the other player and allows players to send reinforcements between rounds. Each round, units pair up and attack each other. Essentially what I do is calculate the damage: AP = Attack Points HP = Hit Points Units AP * Quantity * Random Factors * other factors (such as attrition) I take that and divide by the defending unit's HP to find the number of casualties of defending units. So, for example (simplified to take out some factors), if I have: 500 attackers with 50 AP vs 1000 defenders with 100 HP = 250 deaths. I wonder if that last step could be handled better to reduce the deaths piling up. Some ideas: I just change all the units with more HP? I make sure to set the Attacking unit's AP to be a max of the defender's HP to make sure they only kill 1 unit. (is that fair if I have less huge units vs many small units?) I spread the damage around more by including the defending unit's quantity more? i.e. in that scenario some are dead and some are 50% damage. (How would I track this every round?) Other better mathematical approaches?

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