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• Any learning/studying material for C/C++ that use game programming as learning context out there?

  - by mac

  As most of game programming is done - I read on this very site - in C/C++ I was wondering if there is any learning/studying material for C/C++ that would target specifically game programming. I am not looking for material about "developing games" or "software architecture for games", but rather for material that uses "game programming" as the CONTEXT for introducing and illustrating C/C++ features, idioms, programming techniques, etc... With a simile: think to the GOF book on design patterns. There, they used "developing a text-editor" as a context for introducing design patterns, but the book is most definitively not a book about "developing text-editors". Thanks in advance for your time and advice! PS: My background: I am a programmer with a solid experience in OO scripting languages and only some experience in C and Assembler (on AVR microcontrollers), so I am thinking to mid-to-advanced level material, rather than tutorials for beginners, although it might be interesting to take a look to the latter ones if nothing else is available.

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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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• Bouncing ball isssue

  - by user

  I am currently working on the 2D Bouncing ball physics that bounces the ball up and down. The physics behaviour works fine but at the end the velocity keep +3 then 0 non-stop even the ball has stopped bouncing. How should I modify the code to fix this issue? ballPos = D3DXVECTOR2( 50, 100 ); velocity = 0; accelaration = 3.0f; isBallUp = false; void GameClass::Update() { velocity += accelaration; ballPos.y += velocity; if ( ballPos.y >= 590 ) isBallUp = true; else isBallUp = false; if ( isBallUp ) { ballPos.y = 590; velocity *= -1; } // Graphics Rendering m_Graphics.BeginFrame(); ComposeFrame(); m_Graphics.EndFrame(); }

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• Extremely Hybrid Game requirements

  - by tugrul büyükisik

  What system specifications would a game need if it was: Total players per planet: ~20000 Total players per team:~1M Total players per map(small volume of space or small surface over a planet): ~2000 Total players: ~10M(world has more players than this amount i think) Two of the players are commanders of opposite quadrants(from HUD of a strategy game). Lots of players use space-crafts as a captain(like 3d fps and rts). Many many players control consoles in those space-crafts as under command of captains.(fps ) Some players are still in stone-age trying to reinvent wheel in some planet. Players design and construct any vehicles they have. With good physics engine Has puzzles inside. Everyone get experience by doing stuff(RPG). Commerce, income or totally different resource-based group(like starcraft) Player classes(primitive: cunning and strong, wrapped: healthy, wealthy) Arcade top-down style firing with ships when people get bored very low chance of miraculous things.(mediclorians, wormholes, bugs) Different game-modes: persistent(living world), resetted periodically(a new chance for noobs), instant(pre-built space + hack&slash) I suspect this would need 128GB ram and 2048 cores.

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• How do I scroll in the physical world?

  - by Esteban Quintero

  I am using andengine to make a game where a sprite (player) is going up across the stage, this is my world. final Rectangle ground = new Rectangle(0, CAMERA_HEIGHT - 2, CAMERA_WIDTH, 2, vertexBufferObjectManager); final Rectangle roof = new Rectangle(0, 0, CAMERA_WIDTH, 2, vertexBufferObjectManager); final Rectangle left = new Rectangle(0, 0, 2, CAMERA_HEIGHT, vertexBufferObjectManager); final Rectangle right = new Rectangle(CAMERA_WIDTH - 2, 0, 2, CAMERA_HEIGHT, vertexBufferObjectManager); final FixtureDef wallFixtureDef = PhysicsFactory.createFixtureDef(0, 0.5f, 0.5f); PhysicsFactory.createBoxBody(this.mPhysicsWorld, ground, BodyType.StaticBody, wallFixtureDef); PhysicsFactory.createBoxBody(this.mPhysicsWorld, roof, BodyType.StaticBody, wallFixtureDef); PhysicsFactory.createBoxBody(this.mPhysicsWorld, left, BodyType.StaticBody, wallFixtureDef); PhysicsFactory.createBoxBody(this.mPhysicsWorld, right, BodyType.StaticBody, wallFixtureDef); /* Create two sprits and add it to the scene. */ this.mScene.setBackground(autoParallaxBackground); this.mScene.attachChild(ground); this.mScene.attachChild(roof); this.mScene.attachChild(left); this.mScene.attachChild(right); this.mScene.registerUpdateHandler(this.mPhysicsWorld); The problem is that if the sprite reaches up and hits the wall, as I scroll here?

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• Farseer Physics: Ways to create a Body?

  - by EdgarT

  I want to create something similar to this using farsser and Kinect: https://vimeo.com/33500649 This is my implementation until now: http://www.youtube.com/watch?v=GlIvJRhco4U I have the outline vertices and the triangulation of the user. And following the Texture to Polygonmsample i used this line to create the shape, where farseerObject is a list of vertices of the triangles: _compound = BodyFactory.CreateCompoundPolygon(World, farseerObject, 1f, BodyType.Dynamic); But I have to update the body each frame (like 30 fps) and this is very slow. I get just 2 or 3 fps. There's another (faster) way to create the Body from a list of triangles or the contour vertices?

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• Box2D platformer movement. Are joints a good idea?

  - by Romeo

  So i smashed my brains trying to make my character move. As i wanted later in the game to add explosions and bullets it wasn't a good idea to mess with the velocity and the forces/impulses didn't work as i expected so something stuck in my mind: Is it a good idea to put at his bottom a wheel(circle) which is invisible to the player that will do the movement by rotation? I will attach this to my main body with a revolute joint but i don't really know how to make the main body and wheel body to don't collide one with each other since funny things can happen. What is your oppinion?

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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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• 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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• What kind of physics to choose for our arcade 3D MMO?

  - by Nick

  We're creating an action MMO using Three.js (WebGL) with an arcadish feel, and implementing physics for it has been a pain in the butt. Our game has a terrain where the character will walk on, and in the future 3D objects (a house, a tree, etc) that will have collisions. In terms of complexity, the physics engine should be like World of Warcraft. We don't need friction, bouncing behaviour or anything more complex like joints, etc. Just gravity. I have managed to implement terrain physics so far by casting a ray downwards, but it does not take into account possible 3D objects. Note that these 3D objects need to have convex collisions, so our artists create a 3D house and the player can walk inside but can't walk through the walls. How do I implement proper collision detection with 3D objects like in World of Warcraft? Do I need an advanced physics engine? I read about Physijs which looks cool, but I fear that it may be overkill to implement that for our game. Also, how does WoW do it? Do they have a separate raycasting system for the terrain? Or do they treat the terrain like any other convex mesh? A screenshot of our game so far:

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• Android - Efficient way to draw tiles in OpenGL ES

  - by Maecky

  Hi, I am trying to write efficient code to render a tile based map in android. I load for each tile the corresponding bitmap (just one time) and then create the according tiles. I have designed a class to do this: public class VertexQuad { private float[] mCoordArr; private float[] mColArr; private float[] mTexCoordArr; private int mTextureName; private static short mCounter = 0; private short mIndex; As you can see, each tile has it's x,y location, a color array, texture coordinates and a texture name. Now, I want to render all my created tiles. To reduce the openGL api calls (I read somewhere that the state changes are costly and therefore I want to keep them to a minimum), I first want to hand ALL the coordinate-arrays, color-arrays and texture-coordinates over to OpenGL. After that I run two for loops. The first one iterates over the textures and binds the texture. The second for loop iterates over all Tiles and puts all tiles with the corresponding texture into an IndexBuffer. After the second for loop has finished, I call gl.gl_drawElements() whith the corresponding index buffer, to draw all tiles with the texture associated. For the next texture I do the same again. Now I run into some problems: Allocating and filling the FloatBuffers at the start of each rendering cycle costs very much time. I just run a test, where i wanted to put 400 coordinates into a FloatBuffer which took me about 200ms. My questions now are: Is there a better way, handling the coordinate and color structures? How is this correctly done, this is obviously not the optimal way? ;) thanks in advance, regards Markus

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• Give me some Links which provides Tutorial related to iphone samples code and pdf ebooks.

  - by Ankit Vyas

  Hi!I am new in the iphone Development.I want some useful blogs,pdf files,urls,Tutorials address etc..whatever gives me the information about iphone Development hints.please give me some reference regarding iphone Development...Thanks in Advance...

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• It's possible to fulfill the social necessity of a human being through a social game in 3D like IMVU?

  - by Totty

  (I'm not advertising nor promoting this game, as it's just an example of my experience and I would like to have your opinion about the matter if possible) I've been started researching "things" about games and I've decided to begin to play IMVU as a friend of mine said it's cool. At first it seemed just another 3d social game, not so cool.. But I've "tried to like" and after 1 day I can say I'm addicted to it! Yes; I will explain better: About the game: You can go in chat-rooms, move to positions. Some positions are like sitting in a sofa, floor, dancing alone or with a partner, kissing and more in this way. In the free version of the game there is no nudity. You can even listen to music, view youtube... The 3d graphics are quite low end, so it's not as real as the paid PC games of today. About my experience: At first I was going with my friend in chat-rooms, they seemed very nice. There were people talking about general stuff, quite like in a real life. Well, I begin to know some girls (yes, virtual girls commanded by a real girl, I hope!). Things happened: Some girls are just crazy, not like in real life, they make out in before even talking; Other girls you can speak a little bit, then they add you to their friend-list. Sometimes they invite to their virtual places. Some girls have really IMVU boyfriends only (but not in reality) and most of them don't even make up in the game, so it's really a level of commitment involved here! But from what my friend told they last for him, at least, about 3 days... Some others have real and IMVU boyfriends that are the same. Until now I haven't find a girl with different boyfriend in the IMVU and reality. Nor multiple boyfriends. There are rooms where the same people find each selves every day and speak about general stuff, relationships and so on... They are nice with you, they "feel" you and show careness. This is what amazes me, they treat you like a real human being and as being their friend in the real world. (of course it's not always like this) There are jealous girls too and competitiveness between females lol, I know you loled! This is kind of social. So today I closed my door in my room and I've played it all day long and guess what, I didn't feel a need to stay with a real person at all. Normally, If I would stay a full day alone I would get quite crazy... So the question is: It's just me that seemed to be able to fulfill my social needs or there is something more? thanks for your precious time for reading my full question,

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• Why is this 8 puzzle unsolvable?

  - by Ashwin

  I am developing a 8 puzzle game. I went through the rules in this (see Detecting Unsolvable Puzzles) link, which tell you how to detect if an initial state is unsolvable. It says that if the number of inversions is odd, then the goal state cannot be reached and if even the goal state can be reached. Inversion is defined as Given a board, an inversion is any pair of blocks i and j where i < j but i appears after j when considering the board in row-major order (row 0, followed by row 1, and so forth). There is a 8-puzzle solver(applet) here. Choose 8-puzzle from the options. 1,0,3,2,4,5,6,7,8 and 7,0,2,8,5,3,6,4,1 As you can see both of them contain an even number of inversions. Still the program says that the puzzle is unsolvable. So is the Princeton link wrong?

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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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• 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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• LibGDX drawing map using tiles without space

  - by Enayat Muradi

  I am making a board game. To draw the map on the board I use different tiles. On some screen the map looks good but on some other screens there is a space between the tiles. How can I do so there won't be any space between the tiles? I am designing my game with the size 480x800. To fit other screens I stretch it. My tiles looks like this: I draw the map using a for loop to draw the tile in different (x,y) position on screen. Here is what I mean with space between tiles: Screen with 240x400 Screen with 360x600, here there is no spacing between tiles. I use camera and the screen to draw I don't use stage. I have also tried to use Viewport but I get the same results. cam = new OrthographicCamera();cam.setToOrtho(true, gameWidth, gameHeight); batcher = new SpriteBatch(); batcher.setProjectionMatrix(cam.combined); shapeRenderer = new ShapeRenderer(); shapeRenderer.setProjectionMatrix(cam.combined); How can I do to solve the problem?

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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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• How should I model an economy-based game in code?

  - by Matthew G.

  I'd like to create an economy game based on an ancient civilization. I'm not sure how to design it. If I were working on a smaller game, like a copy of "Space Invaders," I'd have no problem structuring it like this: Main Control Class Graphics Class Player Class Enemy class I don't understand how I'd do this for larger projects like my economy game. Do I create a country class that contains a bunch of towns? Do the towns contain a lot building class, most contain classes of people? Do I make a path finding class that the player can access to get around?

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• Could someone explain in detail simplex /or perlin noise?

  - by Ryan Szemplinski

  I am really interested in perlin/simplex noise but I am having a difficult time understanding it. I am not very good at math but I am willing to learn because it interests me greatly. If someone is willing to dedicate there time into this I would be immensely appreciative of this. To be more concise, an explanation of functions and some calculation inside the functions would be nice to understand. Thanks in advance!

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• Detecting tile with height in isometric game

  - by Carlos Navarro

  I'm trying to create an isometric tile-based game (for iPhone) and I'm having trouble with height in tiles. What I currently do (without heights) is apply some mathematic transformations to my 2D-matrix (which represent the tiles) so that I know where in the screen (x,y) should I place the isometric tile. Then, when the user clicks somewhere in the screen, I take that values and pass them through a function (kind of f^-1) to get which tile it belongs to. This works perfectly. My problem is: imagine that I want some tiles to have a different height from others. In order to draw the tile itself its pretty simple, since the z-coordinate has no transformation in the isometric approach used in games (z'=z). BUT what if I want to calculate the tile coordinate (defined by X-tile and Y-tile) from the touch coordinates (x,y)? Any guess?

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• Android 2D terrain scrolling

  - by Nikola Ninkovic

  I want to make infinite 2D terrain based on my algorithm.Then I want to move it along Y axis (to the left) This is how I did it : public class Terrain { Queue<Integer> _bottom; Paint _paint; Bitmap _texture; Point _screen; int _numberOfColumns = 100; int _columnWidth = 20; public Terrain(int screenWidth, int screenHeight, Bitmap texture) { _bottom = new LinkedList<Integer>(); _screen = new Point(screenWidth, screenHeight); _numberOfColumns = screenWidth / 6; _columnWidth = screenWidth / _numberOfColumns; for(int i=0;i<=_numberOfColumns;i++) { // Generate terrain point and put it into _bottom queue } _paint = new Paint(); _paint.setStyle(Paint.Style.FILL); _paint.setShader(new BitmapShader(texture, Shader.TileMode.REPEAT, Shader.TileMode.REPEAT)); } public void update() { _bottom.remove(); // Algorithm calculates next point _bottom.add(nextPoint); } public void draw(Canvas canvas) { Iterator<Integer> i = _bottom.iterator(); int counter = 0; Path path = new Path(); path.moveTo(0, _screen.y); while (i.hasNext()) { path.lineTo(counter, _screen.y-i.next()); counter += _columnWidth; } path.lineTo(_screen.x, _screen.y); path.lineTo(0, _screen.y); canvas.drawPath(path2, _paint); } } The problem is that the game is too 'fast', so I tried with pausing thread with Thread.sleep(50); in run() method of my game thread but then it looks too torn. Well, is there any way to slow down drawing of my terrain ?

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• Putting Together a Game Design Team?

  - by Kaia

  I'm attempting to put together a game design team that is willing to help me design/program, test, and somewhat produce the game we make to the public. I need anyone who knows anything about programming/coding, designing, etc. Once we get it up and running and out into the world (over dramatic maybe? haha) I have ideas of generating a profit from it so there is a possibility of payment. My thinking on it (so far) is this: 2D (possibly. I haven't decided if I want it 2D or 3D. It really depends on what is easier) 3rd person. Adventure (I want there to be a point to it, but like a point with no real end) I want there to be a story to it. If you've ever played Dofus, think like that. There is a story to the game, but no real end. I want (if possible) to include mini-games. These could end up becoming a possible way for a player to aquire in-game money, quest items, etc. If anyone is interested in helping me create the story line/script (which we will finsih first, before creating the game) please contact me. I want to get this completed as soon as possible.

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• Possible to draw a select portion of a render target? (in XNA)

  - by TheBroodian

  I'm going to try to do this in reverse fashion and skip straight to the punch line, and then give the back story afterward: Is it possible to, after drawing a scene to a RenderTarget2D, only draw a select portion of the RenderTarget2D, if I don't want the entire thing? I'm using xTile to manage world data in my game (it's a great piece of work, colinvella [xTile's author] has made an amazing product), and for the most part it works great. xTile supports parallax effects in its layers to add some wonderful depth to 2d scenes, which was great, until I implemented a dynamic split-screen system into my game. Wanted to make a co-op game that wouldn't require players to be in close proximity to each other, so I made it so that if the players separate too far apart, the singular full-screen viewport 'snaps-apart', and is replaced by two split-screen viewports, which then smoothly transition to their respective player targets. The effect is pretty smooth aside from the part where the parallax backgrounds become skewed once the viewports split, because xTile's ratio for handling parallax effects is dependent upon viewport size. This is unfortunate, because the effect would otherwise be really snazzy, but the backgrounds become pretty heavily affected when the game goes from single-viewport to multi-viewport. So, Colinvella suggests using rendertargets to record the scene at full viewport size, and then only drawing a portion of it. But as far as I can tell, that isn't even possible? That being said, I've never even used render targets before, so I'm still learning, hence the question here.

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• Why do we use the Pythagorean theorem in game physics?

  - by Starkers

  I've recently learned that we use Pythagorean theorem a lot in our physics calculations and I'm afraid I don't really get the point. Here's an example from a book to make sure an object doesn't travel faster than a MAXIMUM_VELOCITY constant in the horizontal plane: MAXIMUM_VELOCITY = <any number>; SQUARED_MAXIMUM_VELOCITY = MAXIMUM_VELOCITY * MAXIMUM_VELOCITY; function animate(){ var squared_horizontal_velocity = (x_velocity * x_velocity) + (z_velocity * z_velocity); if( squared_horizontal_velocity <= SQUARED_MAXIMUM_VELOCITY ){ scalar = squared_horizontal_velocity / SQUARED_MAXIMUM_VELOCITY; x_velocity = x_velocity / scalar; z_velocity = x_velocity / scalar; } } Let's try this with some numbers: An object is attempting to move 5 units in x and 5 units in z. It should only be able to move 5 units horizontally in total! MAXIMUM_VELOCITY = 5; SQUARED_MAXIMUM_VELOCITY = 5 * 5; SQUARED_MAXIMUM_VELOCITY = 25; function animate(){ var x_velocity = 5; var z_velocity = 5; var squared_horizontal_velocity = (x_velocity * x_velocity) + (z_velocity * z_velocity); var squared_horizontal_velocity = 5 * 5 + 5 * 5; var squared_horizontal_velocity = 25 + 25; var squared_horizontal_velocity = 50; // if( squared_horizontal_velocity <= SQUARED_MAXIMUM_VELOCITY ){ if( 50 <= 25 ){ scalar = squared_horizontal_velocity / SQUARED_MAXIMUM_VELOCITY; scalar = 50 / 25; scalar = 2.0; x_velocity = x_velocity / scalar; x_velocity = 5 / 2.0; x_velocity = 2.5; z_velocity = z_velocity / scalar; z_velocity = 5 / 2.0; z_velocity = 2.5; // new_horizontal_velocity = x_velocity + z_velocity // new_horizontal_velocity = 2.5 + 2.5 // new_horizontal_velocity = 5 } } Now this works well, but we can do the same thing without Pythagoras: MAXIMUM_VELOCITY = 5; function animate(){ var x_velocity = 5; var z_velocity = 5; var horizontal_velocity = x_velocity + z_velocity; var horizontal_velocity = 5 + 5; var horizontal_velocity = 10; // if( horizontal_velocity >= MAXIMUM_VELOCITY ){ if( 10 >= 5 ){ scalar = horizontal_velocity / MAXIMUM_VELOCITY; scalar = 10 / 5; scalar = 2.0; x_velocity = x_velocity / scalar; x_velocity = 5 / 2.0; x_velocity = 2.5; z_velocity = z_velocity / scalar; z_velocity = 5 / 2.0; z_velocity = 2.5; // new_horizontal_velocity = x_velocity + z_velocity // new_horizontal_velocity = 2.5 + 2.5 // new_horizontal_velocity = 5 } } Benefits of doing it without Pythagoras: Less lines Within those lines, it's easier to read what's going on ...and it takes less time to compute, as there are less multiplications Seems to me like computers and humans get a better deal without Pythagorean theorem! However, I'm sure I'm wrong as I've seen Pythagoras' theorem in a number of reputable places, so I'd like someone to explain me the benefit of using Pythagorean theorem to a maths newbie. Does this have anything to do with unit vectors? To me a unit vector is when we normalize a vector and turn it into a fraction. We do this by dividing the vector by a larger constant. I'm not sure what constant it is. The total size of the graph? Anyway, because it's a fraction, I take it, a unit vector is basically a graph that can fit inside a 3D grid with the x-axis running from -1 to 1, z-axis running from -1 to 1, and the y-axis running from -1 to 1. That's literally everything I know about unit vectors... not much :P And I fail to see their usefulness. Also, we're not really creating a unit vector in the above examples. Should I be determining the scalar like this: // a mathematical work-around of my own invention. There may be a cleverer way to do this! I've also made up my own terms such as 'divisive_scalar' so don't bother googling var divisive_scalar = (squared_horizontal_velocity / SQUARED_MAXIMUM_VELOCITY); var divisive_scalar = ( 50 / 25 ); var divisive_scalar = 2; var multiplicative_scalar = (divisive_scalar / (2*divisive_scalar)); var multiplicative_scalar = (2 / (2*2)); var multiplicative_scalar = (2 / 4); var multiplicative_scalar = 0.5; x_velocity = x_velocity * multiplicative_scalar x_velocity = 5 * 0.5 x_velocity = 2.5 Again, I can't see why this is better, but it's more "unit-vector-y" because the multiplicative_scalar is a unit_vector? As you can see, I use words such as "unit-vector-y" so I'm really not a maths whiz! Also aware that unit vectors might have nothing to do with Pythagorean theorem so ignore all of this if I'm barking up the wrong tree. I'm a very visual person (3D modeller and concept artist by trade!) and I find diagrams and graphs really, really helpful so as many as humanely possible please!

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