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  • Dynamic quadrees

    - by paul424
    recently I come out writing Quadtree for creatures culling in Opendungeons game. Thing is those are moving points and bounding hierarchy will quickly get lost if the quadtree is not rebuild very often. I have several variants, first is to upgrade the leaf position , every time creature move is requested. ( note if I would need collision detection anyway, so this might be necessery anyway). Second would be making leafs enough large , that the creature would sure stay inside it's bounding box ( due to its speed limit). The partition of a plane in quadtree is always fixed ( modulo the hierarchical unions of some parts) . For creatures close to the center of the plane , there would be no way of keeping it but inside one big leaf, besides this brokes the invariant that each point can be put into any small area as desired. So on the second thought could I use several quadrees ? Each would have its "coordinate axis XY" somwhere shifted ? Before I start playing with this maybe some other space diving structure would suit me better, unfortunetly wiki does not compare it's execution time : http://en.wikipedia.org/wiki/Grid_%28spatial_index%29#See_also

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  • jump pads problem

    - by Pasquale Sada
    I'm trying to make a character jump on a landing pad who stays above him. Here is the formula I've used (everything is pretty much self-explainable, maybe except character_MaxForce that is the total force the character can jump ): deltaPosition = target - character_position; sqrtTerm = Sqrt(2*-gravity.y * deltaPosition.y + MaxYVelocity* character_MaxForce); time = (MaxYVelocity-sqrtTerm) /gravity.y; speedSq = jumpVelocity.x* jumpVelocity.x + jumpVelocity.z *jumpVelocity.z; if speedSq < (character_MaxForce * character_MaxForce) we have the right time so we can store the value jumpVelocity.x = deltaPosition.x / time; jumpVelocity.z = deltaPosition.z / time; otherwise we try the other solution time = (MaxYVelocity+sqrtTerm) /gravity.y; and then store it jumpVelocity.x = deltaPosition.x / time; jumpVelocity.z = deltaPosition.z / time; jumpVelocity.y = MaxYVelocity; rigidbody_velocity = jumpVelocity; The problem is that the character is jumping away from the landing pad or sometime he jumps too far never hitting the landing pad.

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  • How to apply Data Oriented Design with Object Oriented Programming?

    - by Pombal
    Hi. I've read lots of articles about DOD and I understand it but I can't design an Object Oriented system with DOD in mind, I think my OOP education is blocking me. How should I think to mix the two? The objective is to have a nice OO interface while using DOD behind the scenes. I saw this too but didn't help much: http://stackoverflow.com/questions/3872354/how-to-apply-dop-and-keep-a-nice-user-interface

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  • Story and news-feed ideas for social network games

    - by arpine
    I am currently working on a educational and fun 2-in-1 game. As I am not a professional, I need advice on story and news-feed. The goal is simple-get richer, the story is about a worker who is trying to get over his/her financial problems and become rich. During the whole gaming process there is a news-feed (every day there are a couple of fresh news about what is going on). The news are fresh and individual so I need to write about 2000 pieces of news for 2 year gaming, maybe more. The problem is that I am not sure whether repetitive news can interest in this game. What can be done to make the news-making process easier but not boring from the point of view of the player?

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  • Box2D `ApplyLinearImpulse` is not working whereas `SetLinearVelocity` works

    - by Narek
    I need to mimic jumping behavior for the player in my game. Player consists of two fixtures with circle and rectangle shapes. Rectangle I use to detect ground and it is a sensor. Is some point for jumping I do this: float impulseY = body->GetMass() * PLAYER_JUMPING_VEOCITY / PTM_RATIO * std::sin(PLAYER_JUMPING_ANGLE * PI / 180); body->ApplyLinearImpulse(b2Vec2(0, impulseY), body->GetWorldCenter(), true); and player does not jump. But when I do this: body->SetLinearVelocity(b2Vec2(0, PLAYER_JUMPING_VEOCITY / PTM_RATIO * std::sin(PLAYER_JUMPING_ANGLE * PI / 180))); my player jumps. Also when I change the rectangle shape to be normal (not sensor) shape, its works again. Why? Just in case here are the parameters of my rectangular sensor: b2PolygonShape boxShape; boxShape.SetAsBox(width * 0.5/2/PTM_RATIO, height * 0.2/2/PTM_RATIO, b2Vec2(0, -height * 0.4 /PTM_RATIO), 0); b2FixtureDef boxFixtureDef; boxFixtureDef.friction = 0; boxFixtureDef.restitution = 0; boxFixtureDef.density = 1; boxFixtureDef.isSensor = true; boxFixtureDef.userData = static_cast<void*>(PLAYER_GROUP);

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  • How can I change this isometric engine to make it so that you could distinguish between blocks that are on different planes?

    - by l5p4ngl312
    I have been working on an isometric minecraft-esque game engine for a strategy game I plan on making. As you can see, it really needs some sort of shading. It is difficult to distinguish between separate elevations when the camera is facing away from the slope because everything is the same shade. So my question is: can I shade just a specific section of a sprite? All of those blocks are just sprites, so if I shaded the entire image, it would shade the whole block. I am using LWJGL. Are there any other approaches to take? Heres a link to a screenshot from the engine: http://i44.tinypic.com/qxqlix.jpg

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  • Unable to create suitable graphics device?

    - by kraze
    I've been following the Eye of the Dragon tutorial, which is basicly a guide to making a 2D RPG game, obviously. I recently finished the tutorial about making pop up screens in the menu and changed the screen to load as a full screen. Whenever I try and load the game it just goes black and my mouse sits there. I cannot change out of it other then with CtrlAltDel. Once i do that it says No suitable graphics card found, unable to create graphics device. I read somewhere about XNA not allowing more then one screen when any one of them is full screen. but it wasnt very informative. Anyone have any ideas whats going on and/or how to fix this? Just incase if this helps this is the code for the graphics device: public Game1() { graphics = new GraphicsDeviceManager(this); graphics.PreferredBackBufferWidth = 900; graphics.PreferredBackBufferHeight = 768; graphics.IsFullScreen = true; this.Window.Title = "Eyes of the Dragon"; Content.RootDirectory = "Content"; }

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  • Constrained A* problem

    - by Ragekit
    I've got a little problem with an A* algorithm that I need to Constrained a little bit. Basically : I use an A* to find the shortest path between 2 randomly placed room in 3D space, and then build a corridor between them. The problem I found is that sometimes it makes chimney like corridors that are not ideal, so I constrict the A* so that if the last movement was up or down, you go sideways. Everything is fine, but in some corner cases, it fails to find a path (when there is obviously one). Like here between the blue and red dot : (i'm in unity btw, but i don't think it matters) Here is the code of the actual A* (a bit long, and some redundency) while(current != goal) { //add stair up / stair down foreach(Node<GridUnit> test in current.Neighbors) { if(!test.Data.empty && test != goal) continue; //bug at arrival; if(test == goal && penul !=null) { Vector3 currentDiff = current.Data.bounds.center - test.Data.bounds.center; if(!Mathf.Approximately(currentDiff.y,0)) { //wanna drop on the last if(!coplanar(test.Data.bounds.center,current.Data.bounds.center,current.Data.parentUnit.bounds.center,to.Data.bounds.center)) { continue; } else { if(Mathf.Approximately(to.Data.bounds.center.x, current.Data.parentUnit.bounds.center.x) && Mathf.Approximately(to.Data.bounds.center.z, current.Data.parentUnit.bounds.center.z)) { continue; } } } } if(current.Data.parentUnit != null) { Vector3 previousDiff = current.Data.parentUnit.bounds.center - current.Data.bounds.center; Vector3 currentDiff = current.Data.bounds.center - test.Data.bounds.center; if(!Mathf.Approximately(previousDiff.y,0)) { if(!Mathf.Approximately(currentDiff.y,0)) { //you wanna drop now : continue; } if(current.Data.parentUnit.parentUnit != null) { if(!coplanar(test.Data.bounds.center,current.Data.bounds.center,current.Data.parentUnit.bounds.center,current.Data.parentUnit.parentUnit.bounds.center)) { continue; }else { if(Mathf.Approximately(test.Data.bounds.center.x, current.Data.parentUnit.parentUnit.bounds.center.x) && Mathf.Approximately(test.Data.bounds.center.z, current.Data.parentUnit.parentUnit.bounds.center.z)) { continue; } } } } } g = current.Data.g + HEURISTIC(current.Data,test.Data); h = HEURISTIC(test.Data,goal.Data); f = g + h; if(open.Contains(test) || closed.Contains(test)) { if(test.Data.f > f) { //found a shorter path going passing through that point test.Data.f = f; test.Data.g = g; test.Data.h = h; test.Data.parentUnit = current.Data; } } else { //jamais rencontré test.Data.f = f; test.Data.h = h; test.Data.g = g; test.Data.parentUnit = current.Data; open.Add(test); } } closed.Add (current); if(open.Count == 0) { Debug.Log("nothingfound"); //nothing more to test no path found, stay to from; List<GridUnit> r = new List<GridUnit>(); r.Add(from.Data); return r; } //sort open from small to biggest travel cost open.Sort(delegate(Node<GridUnit> x, Node<GridUnit> y) { return (int)(x.Data.f-y.Data.f); }); //get the smallest travel cost node; Node<GridUnit> smallest = open[0]; current = smallest; open.RemoveAt(0); } //build the path going backward; List<GridUnit> ret = new List<GridUnit>(); if(penul != null) { ret.Insert(0,to.Data); } GridUnit cur = goal.Data; ret.Insert(0,cur); do{ cur = cur.parentUnit; ret.Insert(0,cur); } while(cur != from.Data); return ret; You see at the start of the foreach i constrict the A* like i said. If you have any insight it would be cool. Thanks

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  • point to rectangle distance

    - by john smith
    I have a 2D rectangle with x, y position and it's height and width and a randomly positioned point nearby it. Is there a way to check if this point might collide with the rectangle if closer than a certain distance? like imagine an invisible radius outside of that point colliding with said rectangle. I have problems with this simply because it is not a square, it would be so much easier this way! Any help? Thanks in advance.

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  • Questions before I revamp my rendering engine to use shaders (GLSL)

    - by stephelton
    I've written a fairly robust rendering engine using OpenGL ES 1.1 (fixed-function.) I've been looking into revamping the engine to use OpenGL ES 2.0, which necessitates that I use shaders. I've been absorbing information all day long and still have some questions. Firstly, lighting. The fixed-function pipeline is guaranteed to have at least 8 lights available. My current engine finds lights that are "close" to the primitives being drawn and enables them; I don't know how many lights are going to be enabled until I draw a given model. Nothing is dynamically allocated in GLSL, so I have to define in a shader some number of lights to be used, right? So if I want to stick with 8, should I write my general purpose shader to have 8 lights and then use uniforms to tell it how many / which lights to use? Which brings me to another question: should I be concerned with the amount of data I'm allocating in a shader? Recent video cards have hundreds of "stream processors." If I've got a fragment shader being used on some number of fragments in a given triangle, I assume they must each have their own stack to work on. Are read-only variables copied here, or read when needed? My initial goal is to rework my code so that it is virtually identical to the current implementation. What I have in mind is to create my own matrix stack so that I can implement something along the lines of push/popMatrix and apply all my translations, rotations, and scales to this matrix, then provide the matrix to the vertex shader so that it can make very quick vertex translations. Is this approach sound? Edit: My original intention was to ask if there was a tutorial that would explain the bare minimum necessary to jump from fixed-function to using shaders. Thanks!

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  • Operations on multiple overlapping layers not working

    - by Arun
    Hi I am developing a game in android just like Farmville by Zinga. In that game we have to place elements in the diamond shaped field so the don't overlap each other. Now I did coding for placing the field inside the farm field but I cannot stop the problem of overlapping of the farm field. I Am attaching the code that I have down for all this someone please help me.... try{ if(bm1.getPixel((int)initX,(int)initY)!=0){ if(bm1.getPixel((int)initX,(int)initY+20)!=0){ if(bm1.getPixel((int)initX-20,(int)initY)!=0){ if(bm1.getPixel((int)initX+20,(int)initY)!=0){ if(bm1.getPixel((int)initX,(int)initY-20)!=0){ c.drawBitmap(bm,initX-30,initY-20, paint); } } } } } }catch(Exception e) { Toast.makeText(getContext(), e.toString(), Toast.LENGTH_SHORT); }

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  • Textures selectively not applying in Unity

    - by user46790
    On certain imported objects (fbx) in Unity, upon applying a material, only the base colour of the material is applied, with none of the tiled texture showing. This isn't universal; on a test model only some submeshes didn't show the texture, while some did. I have tried every combination of import/calculate normals/tangents to no avail. FYI I'm not exactly experienced with the software or gamedev in general; this is to make a small static scene with 3-4 objects max. One model tested was created in 3DSMax, the other in Blender. I've had this happen on every export from Blender, but only some submeshes from the 3DSMax model (internet sourced to test the problem)

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  • Android Loading Screen: How do I go about using a stack to load elements, and the option of incrementing the size counter?

    - by tom_mai78101
    I have some problems with figuring out what value I should put in the function: int value_needed_to_figure_out = X; ProgressBar.incrementProgressBy(value_needed_to_figure_out); I've been researching about loading screens and how to use them. Some examples I've seen have implemented Thread.sleep() in a Handler.post(new Runnable()) function. To me, I got most of that concept of using the Handler to update the ProgressBar, while pretending to do some heavy crunching work. So, I kept looking. I have read this thread here: How do I load chunks of data from an assest manager during a loading screen? It said that I can try using a stack it needs to load, and adding a size counter as I add elements to the stack. What does it mean? This is the part where I'm totally stumped. If anyone would provide some hints, I'll gladly appreciate it. Thanks in advance.

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  • Problems loading Hilva tutorials

    - by Beska
    I'm a newcomer to XNA, and I'm evaluating some libraries. The Hilva Graphics Engine looks interesting, and I'm trying to run their tutorials. However, all of them give me errors. For example, if I download the ParallaxMappingSample demo, and try to build it, I get Error 1 Error loading pipeline assembly "C:\Users\Me\Desktop\ParallaxMappingSample\Hilva.Content.dll". ParallaxMappingSample I get similar errors for all of the samples. Unfortunately, this error isn't very enlightening. I can see the Hilva.Content.dll in the appropriate directory. I tried removing and readding the reference from the content project, but I get the same error. I'm not sure it's relevant, but I'm on Windows 7, I'm using Microsoft Visual Studio 2010, and XNA 4.0. Is there an easy (or difficult) solution? EDIT: If you happen to try this, even if you don't have a solution, let me know about it in a comment. Whether it works for you, or if you get the same problem...either result would be something that might let me know if it's just a problem with the tutorial, or if it's on my end.

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  • Create Adventure Game Scene/Room/Backdrop from Real Photo

    - by Lyuben
    Is there a suitable software or a good tutorial for creating 2D rooms/scenery for adventure games from real photos? Is it possible to achieve good results by using photos, or the hand-drawn style will always be the best choice? Thank you! --- EDIT --- I want to clarify that I'm particularly interested in the art creation process, not on the environment in which to build games. I'm writing the game in Java for Android, but I don't think it matters. Also, I'm not trying to decide if the game will have photo realistic rooms or not - I want to achieve 2d pixelated, old-school style background scenes and I wonder if this can be made from photos, because I cannot draw them myself. For example, can I shoot a scene with my camera and then make it look something like the image in the following link: PIXEL ART FOREST I know that I cannot get the same quality as an absolutely hand-drawn pixel, but I'm looking for some decent technology/tutorial/software to make them somewhat similar.

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  • Text on a model

    - by alecnash
    I am trying to put some text on a Model and I want it to be dynamic. Did some research and came up with drawing the text on the texture and then set it on the model. I use something like this: public static Texture2D SpriteFontTextToTexture(SpriteFont font, string text, Color backgroundColor, Color textColor) { Size = font.MeasureString(text); RenderTarget2D renderTarget = new RenderTarget2D(GraphicsDevice, (int)Size.X, (int)Size.Y); GraphicsDevice.SetRenderTarget(renderTarget); GraphicsDevice.Clear(Color.Transparent); Spritbatch.Begin(); //have to redo the ColorTexture Spritbatch.Draw(ColorTexture.Create(GraphicsDevice, 1024, 1024, backgroundColor), Vector2.Zero, Color.White); Spritbatch.DrawString(font, text, Vector2.Zero, textColor); Spritbatch.End(); GraphicsDevice.SetRenderTarget(null); return renderTarget; } When I was working with primitives and not models everything worked fine because I set the texture exactly where I wanted but with the model (RoundedRect 3D button). It now looks like that: Is there a way to have the text centered only on one side?

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  • How many textures can usually I bind at once?

    - by Avi
    I'm developing a game engine, and it's only going to work on modern (Shader model 4+) hardware. I figure that, by the time I'm done with it, that won't be such an unreasonable requirement. My question is: how many textures can I bind at once on a modern graphics card? 16 would be sufficient. Can I expect most modern graphics cards to support that amount? My GTX 460 appears to support 32, but I have no idea if that's representative of most modern video cards.

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  • What's the best way to add some particle or laser effects to an already animated character?

    - by Scott
    I just purchased some rigged and animated robot characters from 3drt for a game I'm making in unity. I would like to be able to add some weapon effects to the characters. For example, I would like for the robots to be able to shot lasers out of the hands at enemies. I have know idea where to even start with this task as I'm more of a programmer than a graphics guy. Can some experienced developers / designers please point me in a good direction? Thanks. Note: As of right now I have maya and blender installed on my computer.

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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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  • What are the pros and cons of non-unique display names?

    - by Davy8
    I know of at least big title game (Starcraft II) that doesn't require unique display names, so it would seem like it can work in at least some circumstance. Under what situations does allowing non-unique display names work well? When does it not work well? Does it come down to whether or not impersonation of someone else is a problem? The reasons I believe it works for Starcraft II is that there isn't any kind of in-game trading of virtual goods and other than "for kicks" there isn't much incentive to impersonate someone else in the game. There's also ladder rankings so even trying to impersonate a pro is easily detectable unless you're on a similar skill level. What are some other cases where it makes sense to specifically allow or disallow duplicate display names?

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  • How to handle jumping up a slope in a runner game?

    - by you786
    In an 2D endless runner, what should happen when the player is running "too fast" up a slope and jumps? For example, in a "normal" case: .O. . __..O_____ . / . / O/ _/ If he is moving to the right slowly enough, he will jump upwards and land on the flat part of the surface. However, if he is moving too fast, the jump will have no effect as his forward motion will bring him back in contact with the slope before he can get high enough to pass over it. When the speed is sufficiently high, there will effectively be no jump. _________ / .O/ O/ _/ Are there any known ways to solve this issue? I know it's physically correct*, but are there techniques that other games use to overcome this in a reasonable manner? As a last resort I'll have to just remove all slopes that are too slanted. *If you constrain the player to never jumping backwards.

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  • How can I imitate interaction and movement in Diablo II?

    - by user422318
    I'm prototyping a simple browser-based game. It's played from a top down perspective on a 2d canvas. You left-click on a point on the map, and your character will begin walking to it. If you click on a different point on the map, then your character will begin walking to the new point. It's similar to Diablo II: http://www.youtube.com/watch?v=EvDKt-To6K0&feature=related How can I best imitate this movement system for a player? Ideas... Track current coords and target coords If target coords are exactly up, left, right, or down, then increment appropriate direction until you get there Implied else: target coords are in a quadrant. To make this movement look natural, character will have to move diagonally. For example, pretend the target is to the northeast. For each game frame, alternate incrementing current coordinates in the north and then east directions.

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  • Is there an AIR native extension to use GameCenter APIs for turn-based games?

    - by Phil
    I'm planning a turn based game using the iOS 5 GameCenter (GameKit) turn-based functions. Ideally I would program the game with AIR (I'm a Flash dev), but so far I can't seem to find any already available native extension that offers that (only basic GameCenter functions), so my questions are: Does anyone know if that already exists? And secondly how complex a task would it be to create an extension that does that? Are there any pitfalls I should be aware of etc.? ** UPDATE ** There does not seem a solution to the above from Adobe. For anyone who is interested check out the Adobe Gaming SDK. It contains a Game Center ANE which I've read contains options for multiplayer but not turn-based multiplayer, at least it's a start. Comes a bit late for me as I've already learned Obj-c!

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  • Architectural advice - websockets javascript/php integration

    - by Ewan Vaentine
    Myself and a friend have started making a game, he's likely to be using impact.js for the user interaction etc, but we need multiplayer functionality so some form of websockets for TCP connections etc. So we were thinking impact.js into socket.io and node.js. However, user accounts, ecommerce, session handling and social media integration will all be handled with Codeigniter (PHP), my question is, is it wise to have node.js running in parallel with Codeigniter, or if this is even possible? If not, if you were to create a multiplayer online game utilising ecomms to buy credits and user accounts, how would you go about this from a structural position and what engines/frameworks would you recommend? I'm new to this site so I apologise in advance if I'm posting something inappropriate. Cheers, Ewan

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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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