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  • AABB - AABB Collision, which face do I hit?

    - by PeeS
    To allow my objects to slide when they collide, I need to : Know which face of the AABB they collide with. Calculate the normal to that face. Return the normal and calculate the impulse that to apply to the player's velocity. Question How can I calculate which face of the AABB I collided with, knowing that I have two AABB's colliding? One is the player and the other is a world object. Here's what that looks like (problem collision circled in white): Thank you for your help.

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  • How can I solve this SAT direct corner intersection edge case?

    - by ssb
    I have a working SAT implementation, but I am running into a problem where direct collisions at a corner do not work for tiled surfaces. That is, it clips on the surface when going in a certain direction because it gets hung up on one of the tiles, and so, for example, if I walk across a floor while holding both down and left, the player will stop when meeting the next shape because the player will be colliding with the right side rather than with the top of the floor tile. This illustration shows what I mean: The top block will translate right first and then up. I have checked here and here which are helpful, but this does not address what I should do in a situation where I don't have a tile-based world. My usage of the term "tile" before isn't really accurate since what I'm doing here is manually placing square obstacles next to each other, not assigning them spots on a grid. What can I do to fix this?

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  • OOP implementation of BUFFS and Stats. Suggestion

    - by Mattia Manzo Manzati
    I am developing an MMORPG server using NodeJS. I am not sure how to implement Buffs, i mean, equipped objects or used skills have effects on the Player() which has many Stats(), some of them have a max cap... Effects can change the Stat value, increasing or decreasing it by a value, a percentage or completly rewrite the value of the stat. After a while I have decided to create a base class for buffs, which can be hidden (if they are casted from an equipped object) or shown if they came from an ability (Spell). Anyway I need suggestion how to implement it, use an array for all active buffs for a stat and have a function calculate the value of the stat affected by buffs each time I need the value of the stat or...? Other more OOP's ways to do it? I have read this What's a way to implement a flexible buff/debuff system? but this implements only a percentage system, which buffs can only say "+10%, +20%, etc...", but I would love to have an hybrid system, which can have percentage values or static values (like WoW does), and using modifiers it's hard to implement, because modifiers refers to the current value of stat :/ Thanks for suggestions :)

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  • Better way to go up/down slope based on yaw?

    - by CyanPrime
    Alright, so I got a bit of movement code and I'm thinking I'm going to need to manually input when to go up/down a slope. All I got to work with is the slope's normal, and vector, and My current and previous position, and my yaw. Is there a better way to rotate whether I go up or down the slope based on my yaw? Vector3f move = new Vector3f(0,0,0); move.x = (float)-Math.toDegrees(Math.cos(Math.toRadians(yaw))); move.z = (float)-Math.toDegrees(Math.sin(Math.toRadians(yaw))); move.normalise(); if(move.z < 0 && slopeNormal.z > 0 || move.z > 0 && slopeNormal.z < 0){ if(move.x < 0 && slopeNormal.x > 0 || move.x > 0 && slopeNormal.x < 0){ move.y += slopeVec.y; } } if(move.z > 0 && slopeNormal.z > 0 || move.z < 0 && slopeNormal.z < 0){ if(move.x > 0 && slopeNormal.x > 0 || move.x < 0 && slopeNormal.x < 0){ move.y -= slopeVec.y; } } move.scale(movementSpeed * delta); Vector3f.add(pos, move, pos);

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  • Algorithm to simplify building/structural meshes

    - by morpheus
    I am looking for an algorithm to simplify the meshes of buildings or similar structures. EDIT: I had made a comment that Hoppe's algorithm tends to make meshes more and more spherical with simplification. But, I am not sure about it, so am deleting the comment. Buildings in contrast should tend to become more and more rectangular with increasing simplification. The D3DX extensions for D3D in version 9.0 (d3dx9.lib) used to have classes to do progressive mesh simplification. See: http://doc.51windows.net/Directx9_SDK/?url=/directx9_sdk/graphics/reference/d3dx/functions/mesh/d3dxgeneratepmesh.htm http://msdn.microsoft.com/en-us/library/windows/desktop/bb281243(v=vs.85).aspx

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  • Drag camera/view in a 3D world

    - by Dono
    I'm trying to make a Draggable view in a 3D world. Currently, I've made it using mouse position on the screen, but, when I move the distance traveled by my mouse is not equal to the distance traveled in the 3D world. So, I've tried to do that : Compute a ray from mouse position to 3D world. Calculate intersection with the ground. Check intersection difference old position <- new position. Translate camera with the difference. I've got a problem with this method: The ray is computed with the current camera's position I move the camera I compute the new ray with new camera position. The difference between old ray and new ray is now invalid. So, graphically my camera don't stop to move to previous/new position everytime. How can I do a draggable camera with another solution ? Thanks!

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  • How should I determine direction from a phone's orientation & accelerometer?

    - by Manoj Kumar
    I have an Android application which moves a ball based on the orientation of the phone. I've been using the following code to extract the data - but how do I use it to determine what direction the ball should actually travel in? public void onSensorChanged(int sensor, float[] values) { // TODO Auto-generated method stub synchronized (this) { Log.d("HIIIII :- ", "onSensorChanged: " + sensor + ", x: " + values[0] + ", y: " + values[1] + ", z: " + values[2]); if (sensor == SensorManager.SENSOR_ORIENTATION) { System.out.println("Orientation X: " + values[0]); System.out.println("Orientation Y: " + values[1]); System.out.println("Orientation Z: " + values[2]); } if (sensor == SensorManager.SENSOR_ACCELEROMETER) { System.out.println("Accel X: " + values[0]); System.out.println("Accel Y: " + values[1]); System.out.println("Accel Z: " + values[2]); } } }

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  • Scale DIV with tiles

    - by user15350
    I am trying to create a repeating background. I have a main DIV with a grid of small 16x16 DIVs. I am trying to scale the main DIV in CSS; when the small DIVs simply have a red background color everything works great, but when there is a background image in the small DIVs then borders become visible between the tiles. This image explains the problem: http://cl.ly/FpNW/o Check the HTML in these examples: With BG-COLOR: http://jsfiddle.net/pTLXw/ With BG-IMG: http://jsfiddle.net/vkpuY/ Does anyone know what is causing this problem and how to fix it? If it is not possible to fix while using DIV, is there another way to do this? Thanks you so much!

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  • Opengl + SDL linking error

    - by me2loveit2
    I am trying to load an image as a texture with opengl using c++ in visual studio 2010. I researched a couple hours online and found the SDL library, then I implemented a simple example and got some linking error I can not seem to figure out. The error log is here: 1Build started 10/20/2012 12:09:17 AM. 1InitializeBuildStatus: 1 Touching "Debug\texture mapping test.unsuccessfulbuild". 1ClCompile: 1 All outputs are up-to-date. 1 texture mapping test.cpp 1ManifestResourceCompile: 1 All outputs are up-to-date. 1texture mapping test.obj : error LNK2019: unresolved external symbol _IMG_Load referenced in function "void __cdecl display(void)" (?display@@YAXXZ) 1MSVCRTD.lib(crtexe.obj) : error LNK2019: unresolved external symbol main referenced in function __tmainCRTStartup 1C:\Users\Me\Documents\Visual Studio 2010\Projects\Programming projects\texture mapping test\Debug\texture mapping test.exe : fatal error LNK1120: 2 unresolved externals 1 1Build FAILED. 1 1Time Elapsed 00:00:02.45 ========== Build: 0 succeeded, 1 failed, 0 up-to-date, 0 skipped ========== Can someone please help me!! I am at a desperate point right now. I downloaded the SDL, and copied all the .h file into: C:\Program Files (x86)\Microsoft SDKs\Windows\v7.0A\Include I added the .lib (x86) files into://as a not i tried the (x64) file too but got the exact same error C:\Program Files (x86)\Microsoft SDKs\Windows\v7.0A\Lib and the .dll(x86) into: C:\Windows\System32 For implementing textures, I used the simple sample code from: http://www.sdltutorials.com/sdl-tip-sdl-surface-to-opengl-texture Please let me know if you can see me doing something wrong, or know how I can fix this!! Thanks Phil

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  • Design: How to model / where to store relational data between classes

    - by Walker
    I'm trying to figure out the best design here, and I can see multiple approaches, but none that seems "right." There are three relevant classes here: Base, TradingPost, and Resource. Each Base has a TradingPost which can offer various Resources depending on the Base's tech level. Where is the right place to store the minimum tech level a base must possess to offer any given resource? A database seems like overkill. Putting it in each subclass of Resource seems wrong--that's not an intrinsic property of the Resource. Do I have a mediating class, and if so, how does it work? It's important that I not be duplicating code; that I have one place where I set the required tech level for a given item. Essentially, where does this data belong? P.S. Feel free to change the title; I struggled to come up with one that fits.

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  • How to balance this Pokémon simulator metagame by feedback?

    - by Dokkat
    This is a Pokémon simulator where you build a team of 6 pokémon and battle with someone. Unfortunately, some Pokémon are stronger than others and only a few of the hundredth species are practical. I'm trying to create a metagame where all of them are competitive. For this, I am tagging a Pokémon with a parameter (level) that changes it's strength and scales up/down depending on the it's performance. That is, if the system detects Mewtwo is overperforming, it should decrease it's level tag until Mewtwo is balanced. The question is: how can I identify if a Pokémon is causing an unbalance? The data I have is the historic of the battles (player 1, player 2, pokémon list, winner). The most basic solution I can think of is victory/loss counting.

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  • Engine for 2D Top-Down Physics-Based Skeletal Animation

    - by RylandAlmanza
    I just watched at the Sui Generis video, and was completely amazed. Specifically, the part where the big troll thing is beating up the player with his flail. This got me really excited, and I would like to try implementing something like this in a 2D Top-Down format. Something like this. That atloria example seems simple enough, but it's not exactly what I'm looking to make. I think atloria is using predefined animations, where as I would like to make something more physics-based like the Sui Generis engine does. So, I'm wondering what physics engines might work for something like this, and if I'd need to implement my own skeletal system, or if I could just use "joints" and such from the engine. The only experience I have in terms of physics engines is Box2D, which I've heard shouldn't be used for top-down settings, and I can think of a few reasons it wouldn't work out well. One of those reasons being gravity. In box 2D, gravity pulls towards a side of the screen (usually the bottom.) I wouldn't want my player's forearms constantly being pulled to one side. :) Also should mention that the programming language doesn't matter all that much to me. I'm currently playing with HTML5 stuff, though. :) Thanks in advance!

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  • what is the easiest way to make a hitbox that rotates with it's texture

    - by Matthew Optional Meehan
    In xna when you have a sprite that doesnt rotate it's very easy to get the four corner of a sprite to make a hitbox, but when you do a rotation the points get moved and I assume there is some kind of math that I can use to aquire them. I am using the four points to draw a rectangle that visually represents the hitboxes. I have seen some per-pixel collission examples but I can forsee they would be hard to draw a box/'convex hull' around. I have also seen physics like farseer but I'm not sure if there is a quick tutorial to do what I want. What do you guys think is the best approach becuase I am looking to complete this work by the end of the week.

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  • How can I simulate a rigid body bounced from a wall in 3D world?

    - by HyperGroups
    How can I simulate a rigid sword bounced from a wall and hit the ground (like in physical world)? I want to use this for a simple animation. I can detect the figure and the size of the sword (maybe needed in doing bounce). Rotation can be controlled by quaternions/matrix/euler angles. It should turn the head and do rotations and fly to the ground. How can I simulate this physical process? Maybe what I need is an equation and some parameters? I need these data, and would combine them into my movie file, I use Mathematica to do the thing that generate the movie file(If I have the data, I can also export it into a 3DSMax script for example).

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  • XNA - Am I screwing up the LoadContent for Texture2D?

    - by Bombcode
    I've read forum threads and questions and I done just about everything. I need to know what am I screwing up here. Here's the code in the constructor. Content.RootDirectory = "GameStateContent"; //Content.RootDirectory = "Content"; And this is in the LoadContent method menu = this.Content.Load<Texture2D>("mainmenu"); And here's the image screen shot of the folder structure. http://i.imgur.com/HnndE.png Any helps on this? Thanks.

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  • exact point oh a rotating sphere

    - by nkint
    I have a sphere that represents the heart textured with real pictures. It's rotating about the x axis, and when user click down it has to show me the exact place he clicked on. For example if he clicked on Singapore and the system should be able to: understand that user clicked on the sphere (OK, I'll do it with unProject) understand where user clicked on the sphere (ray-sphere collision?) and take into account the rotation transform sphere-coordinate to some coordinate system good for some web-api service ask to api (OK, this is the simpler thing for me ;-) some advice?

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  • Whats a good way to do Collision with 2D Rectangles? can someone give me a tip?

    - by Javier
    using System; using System.Collections.Generic; using System.Linq; using System.Text; using Microsoft.Xna.Framework; namespace BreakOut { class Field { public static Field generateField() { List<Block> blocks = new List<Block>(); for (int j = 0; j < BlockType.BLOCK_TYPES.Length; j++) for (int i = 0; i < (Game1.WIDTH / Block.WIDTH); i++) { Block b = new Block(BlockType.BLOCK_TYPES[j], new Vector2(i * Block.WIDTH, (Block.HEIGHT + 2) * j + 5)); blocks.Add(b); } return new Field(blocks); } List<Block> blocks; public Field(List<Block> blocks) { this.blocks = blocks; } public void Update(GameTime gameTime, Ball b) { List<Block> removals = new List<Block>(); foreach (Block o in blocks) { if (o.BoundingBox.Intersects(new Rectangle((int)b.pos.X, (int)b.pos.Y, Ball.WIDTH, Ball.HEIGHT))) //collision with blocks { removals.Add(o); } } foreach(Block o in removals) blocks.Remove(o); //removes the blocks, but i need help hitting one at a time } public void Draw(GameTime gameTime) { foreach (Block b in blocks) b.Draw(gameTime); } } } My problem is that My collision in this sucks. I'm trying to add collision with a ball and hitting against a block and then one of the blocks dissapear. The problem i'm having is: When the ball hits the block, it removes it all in one instance. Please people don't be mean and say mean answers to me, im just in highschool, still a nooby and trying to learn more c#/XNA..

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  • Particle trajectory smoothing: where to do the simulation?

    - by nkint
    I have a particle system in which I have particles that are moving to a target and the new targets are received via network. The list of new target are some noisy coordinates of a moving target stored in the server that I want to smooth in the client. For doing the smoothing and the particle I wrote a simple particle engine with standard euler integration model. So, my pseudo code is something like that: # pseudo code class Particle: def update(): # do euler motion model integration: # if the distance to the target is more than a limit # add a new force to the accelleration # seeking the target, # and add the accelleration to velocity # and velocity to the position positionHistory.push_back(position); if history.length > historySize : history.pop_front() class ParticleEngine: particleById = dict() # an associative array # where the keys are the id # and particle istances are sotred as values # this method is called each time a new tcp packet is received and parsed def setNetTarget(int id, Vec2D new_target): particleById[id].setNewTarget(new_target) # this method is called each new frame def draw(): for p in particleById.values: p.update() beginVertex(LINE_STRIP) for v in p.positionHistory: vertex(v.x, v.y) endVertex() The new target that are arriving are noisy but setting some accelleration/velocity parameters let the particle to have a smoothed trajectories. But if a particle trajectory is a circle after a while the particle position converge to the center (a normal behaviour of euler integration model). So I decided to change the simulation and use some other interpolation (spline?) or smooth method (kalman filter?) between the targets. Something like: switch( INTERPOLATION_MODEL ): case EULER_MOTION: ... case HERMITE_INTERPOLATION: ... case SPLINE_INTERPOLATION: ... case KALMAN_FILTER_SMOOTHING: ... Now my question: where to write the motion simulation / trajectory interpolation? In the Particle? So I will have some Particle subclass like ParticleEuler, ParticleSpline, ParticleKalman, etc..? Or in the particle engine?

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  • Cocos2d rotating sprite while moving with CCBezierBy

    - by marcg11
    I've done my moving actions which consists of sequences of CCBezierBy. However I would like the sprite to rotate by following the direction of the movement (like an airplane). How sould I do this with cocos2d? I've done the following to test this out. CCSprite *green = [CCSprite spriteWithFile:@"enemy_green.png"]; [green setPosition:ccp(50, 160)]; [self addChild:green]; ccBezierConfig bezier; bezier.controlPoint_1 = ccp(100, 200); bezier.controlPoint_2 = ccp(400, 200); bezier.endPosition = ccp(300,160); [green runAction:[CCAutoBezier actionWithDuration:4.0 bezier:bezier]]; In my subclass: @interface CCAutoBezier : CCBezierBy @end @implementation CCAutoBezier - (id)init { self = [super init]; if (self) { // Initialization code here. } return self; } -(void) update:(ccTime) t { CGPoint oldpos=[self.target position]; [super update:t]; CGPoint newpos=[self.target position]; float angle = atan2(newpos.y - oldpos.y, newpos.x - oldpos.x); [self.target setRotation: angle]; } @end However it rotating, but not following the path...

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  • Contricted A* problem

    - by Ragekit
    I've got a little problem with an A* algorithm that I need to constrict 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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  • Image first loaded, then it isn't? (XNA)

    - by M0rgenstern
    I am very confused at the Moment. I have the following Class: (Just a part of the class): public class GUIWindow { #region Static Fields //The standard image for windows. public static IngameImage StandardBackgroundImage; #endregion } IngameImage is just one of my own classes, but actually it contains a Texture2D (and some other things). In another class I load a list of GUIButtons by deserializing a XML file. public static GUI Initializazion(string pXMLPath, ContentManager pConMan) { GUI myGUI = pConMan.Load<GUI>(pXMLPath); GUIWindow.StandardBackgroundImage = new IngameImage(pConMan.Load<Texture2D>(myGUI.WindowStandardBackgroundImagePath), Vector2.Zero, 1024, 600, 1, 0, Color.White, 1.0f, true, false, false); System.Console.WriteLine("Image loaded? " + (GUIWindow.StandardBackgroundImage.ImageStrip != null)); myGUI.Windows = pConMan.Load<List<GUIWindow>>(myGUI.GUIFormatXMLPath); System.Console.WriteLine("Windows loaded"); return myGUI; } Here this line: System.Console.WriteLine("Image loaded? " + (GUIWindow.StandardBackgroundImage.ImageStrip != null)); Prints "true". To load the GUIWindows I need an "empty" constructor, which looks like that: public GUIWindow() { Name = ""; Buttons = new List<Button>(); ImagePath = ""; System.Console.WriteLine("Image loaded? (In win) " + (GUIWindow.StandardBackgroundImage.ImageStrip != null)); //Image = new IngameImage(StandardBackgroundImage); //System.Console.WriteLine( //Image.IsActive = false; SelectedButton = null; IsActive = false; } As you can see, I commented lines out in the constructor. Because: Otherwise this would crash. Here the line System.Console.WriteLine("Image loaded? (In win) " + (GUIWindow.StandardBackgroundImage.ImageStrip != null)); Doesn't print anything, it just crashes with the following errormessage: Building content threw NullReferenceException: Object reference not set to an object instance. Why does this happen? Before the program wants to load the List, it prints "true". But in the constructor, so in the loading of the list it prints "false". Can anybody please tell me why this happens and how to fix it?

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  • Calculating the rotational force of a 2D sprite

    - by Jon
    I am wondering if someone has an elegant way of calculating the following scenario. I have an object of (n) number of squares, random shapes, but we will pretend they are all rectangles. We are dealing with no gravity, so consider the object in space, from a top down perspective. I am applying a force to the object at a specific square (as illustrated below). How do I calculate the rotational angle, based on the force being applied, at the location being applied. If applied in the center square, it would go straight. How should it behave the further I move from the center? How do I calculate the rotational velocity?

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  • Sensor based vs. AABB based collision

    - by Hillel
    I'm trying to write a simple collision system, which will probably be primarily used for 2D platformers, and I've been planning out an AABB system for a few weeks now, which will work seamlessly with my grid data structure optimization. I picked AABB because I want a simple system, but I also want it to be perfect. Now, I've been hearing a lot lately about a different method to handle collision, using sensors, which are placed in the important parts of the entity. I understand it's a good way to handle slopes, better than AABB collision. The thing is, I can't find a basic explanation of how it works, let alone a comparison of it and the AABB method. If someone could explain it to me, or point me to a good tutorial, I'd very much appreciate it, and also a comparison of the advantages and disadvantages of the two techniques would be nice.

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  • Simple 2 player server

    - by Sourabh Lal
    I have recently started learning javascript and html and have developed simple 2 player games such as tick-tack-toe, battleship, and dots&boxes. However these 2 player games can only be played on one computer (i.e. the 2 players must sit together) However, I want to modify this so that one can play with a friend on a different computer. Any suggestions on how this is possible? Also since I am a beginner please do not assume that I know all the jargon.

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  • 2D Collision in Canvas - Balls Overlapping When Velocity is High

    - by kushsolitary
    I am doing a simple experiment in canvas using Javascript in which some balls will be thrown on the screen with some initial velocity and then they will bounce on colliding with each other or with the walls. I managed to do the collision with walls perfectly but now the problem is with the collision with other balls. I am using the following code for it: //Check collision between two bodies function collides(b1, b2) { //Find the distance between their mid-points var dx = b1.x - b2.x, dy = b1.y - b2.y, dist = Math.round(Math.sqrt(dx*dx + dy*dy)); //Check if it is a collision if(dist <= (b1.r + b2.r)) { //Calculate the angles var angle = Math.atan2(dy, dx), sin = Math.sin(angle), cos = Math.cos(angle); //Calculate the old velocity components var v1x = b1.vx * cos, v2x = b2.vx * cos, v1y = b1.vy * sin, v2y = b2.vy * sin; //Calculate the new velocity components var vel1x = ((b1.m - b2.m) / (b1.m + b2.m)) * v1x + (2 * b2.m / (b1.m + b2.m)) * v2x, vel2x = (2 * b1.m / (b1.m + b2.m)) * v1x + ((b2.m - b1.m) / (b2.m + b1.m)) * v2x, vel1y = v1y, vel2y = v2y; //Set the new velocities b1.vx = vel1x; b2.vx = vel2x; b1.vy = vel1y; b2.vy = vel2y; } } You can see the experiment here. The problem is, some balls overlap each other and stick together while some of them rebound perfectly. I don't know what is causing this issue. Here's my balls object if that matters: function Ball() { //Random Positions this.x = 50 + Math.random() * W; this.y = 50 + Math.random() * H; //Random radii this.r = 15 + Math.random() * 30; this.m = this.r; //Random velocity components this.vx = 1 + Math.random() * 4; this.vy = 1 + Math.random() * 4; //Random shade of grey color this.c = Math.round(Math.random() * 200); this.draw = function() { ctx.beginPath(); ctx.fillStyle = "rgb(" + this.c + ", " + this.c + ", " + this.c + ")"; ctx.arc(this.x, this.y, this.r, 0, Math.PI*2, false); ctx.fill(); ctx.closePath(); } }

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