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• PhysX Capsule Character Controller floating above ground

  - by Jannie

  I am using PhysX Version 3.0.2 in the simulation package I'm working on, and I've encountered some bizarre behavior with the capsule character controller. When I set the controller's height and radius to the appropriate values (r = 0.25, h = 1.86)it behaves correctly (moving along the ground, colliding with other objects, and so on) except that the capsule itself is floating above the ground. The actor will then bump his head when trying to get through a door, since the capsule is the correct height but also floating above the ground. This image should illustrate what I'm going on about: One can clearly see that the rest of the scene has their collision bodies wrapped correctly, it's just the capsule that's going wrong! The stop-gap I've implemented is creating a smaller capsule and giving it an offset, but I need to implement ray-picking for the controller next so the capsule has to surround the character model properly. Here's my character creation code (with height = 1.86f and radius = 0.25f): NxController* D3DPhysXManager::CreateCharacterController( std::string l_stdsControllerName, float l_fHeight, float l_fRadius, D3DXVECTOR3 l_v3Position ) { NxCapsuleControllerDesc l_CapsuleControllerDescription; l_CapsuleControllerDescription.height = l_fHeight; l_CapsuleControllerDescription.radius = l_fRadius; l_CapsuleControllerDescription.position.set( l_v3Position.x, l_v3Position.y, l_v3Position.z ); l_CapsuleControllerDescription.callback = &this->m_ControllerHitReport; NxController* l_pController = this->m_pControllerManager->createController( this->m_pScene, l_CapsuleControllerDescription ); this->m_pControllerMap.insert( l_ControllerValuePair( l_stdsControllerName, l_pController ) ); return l_pController; } Any help at all would be appreciated, I just can't figure this one out! P.S. I've found a couple of (rather old) threads describing the same issue, but it seems they couldn't find a solution either. Here are the links: http://forum-archive.developer.nvidia.com/index.php?showtopic=6409 http://forum-archive.developer.nvidia.com/index.php?showtopic=3272 http://www.ogre3d.org/addonforums/viewtopic.php?f=8&t=23003

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• iPhone 3d Model format: .h file, .obj, or some other?

  - by T Reddy

  I'm beginning to write an iPhone game using OpenGL-ES and I've come across a problem with deciding what format my 3D models should be in. I've read (link escapes me at the moment) that some developers prefer the models compiled in Objective-C .h files. Still, others prefer having .obj as these are more portable (i.e., for deployment on non-iPhone platforms). Various 3D game engines seem to support many(?) formats, but I'm not going to use any of these engines as I would like to actually learn OpenGL-ES. Am I putting myself at a disadvantage here by not using a packaged engine? Thanks!

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• Am I missing something about these considerations about Leaderboard's database's schema?

  - by misiMe

  I just finished to develop a mobile game, now I want to implement an online leaerboard using mysql. I'm wondering about the database's schema, I thought about some possibilities: (I didn't got in detail with syntax because my question is just about the logic of it) Name: string; Score: integer I thought to ask the name just the first time. If, in the future, you will modify that, it will call just an update to the name associated with your id. Leaderboard(ID, Name, Score) ID: integer autoincrement, PrimaryKey With this kind of idea maybe the db will grow fast because if you choose everytime a different name for the score, it will add a new entry. Leaderboard(PhoneId, Name, Score) Here PhoneId will be the unique identifier of the phone, PrimaryKey. A con of this choice is that if you want to play with your friends' phone, you can't put a different name for the score. Leaderboard(Name, Score) Here Name is PrimaryKey. With that, if you enter a name that already exists, you will be prompted to choose another one. Do you agree with this considerations? What will you do? Am I missing something?

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• 3d Picking under reticle

  - by Wolftousen

  i'm currently trying to work out some 3d picking code that I started years ago, but then lost interested the assignment was completed (this part wasn't actually part of the assignment). I am not using the mouse coords for picking, i'm just using the position in 3d space and a ray directly out from there. A small hitch though is that I want to use a cone and not a ray. Here are the variables i'm using: float iReticleSlope = 95/3000; //inverse reticle slope float baseReticle = 1; //radius of the reticle at z = 0 float maxRange = 3000; //max range to target Quaternion orientation; //the cameras orientation Vector3d position; //the cameras position Then I loop through each object in the world: Vector3d transformed; //object position after transformations float d, r; //holder variables for(i = 0; i < objects.length; i++) { transformed = position - objects[i].position; //transform the position relative to camera orientation.multiply(transformed); //orient the object relative to the camera if(transformed.z < 0) { d = sqrt(transformed[0] * transformed[0] + transformed[1] * transformed[1]); r = -transformed[2] * iReticleSlope + objects[i].radius; if(d < r && -transformed[2] - objects[i].radius <= maxRange) { //the object is under the reticle } else { //the object is not under the reticle } } else { //the object is not under the reticle } } Now this all works fine and dandy until the window ratio doesn't match the resolution ratio. Is there any simple way to account for that

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• Deferred contexts and inheriting state from the immediate context

  - by dreijer

  I took my first stab at using deferred contexts in DirectX 11 today. Basically, I created my deferred context using CreateDeferredContext() and then drew a simple triangle strip with it. Early on in my test application, I call OMSetRenderTargets() on the immediate context in order to render to the swap chain's back buffer. Now, after having read the documentation on MSDN about deferred contexts, I assumed that calling ExecuteCommandList() on the immediate context would execute all of the deferred commands as "an extension" to the commands that had already been executed on the immediate context, i.e. the triangle strip I rendered in the deferred context would be rendered to the swap chain's back buffer. That didn't seem to be the case, however. Instead, I had to manually pull out the immediate context's render target (using OMGetRenderTargets()) and then set it on the deferred context with OMSetRenderTargets(). Am I doing something wrong or is that the way deferred contexts work?

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• DirectX 11 Constant Buffers vs Effect Framework

  - by Alex

  I'm having some trouble understanding the differences between using constant buffers or using the effect framework of DirectX11 for updating shader constants. From what I understand they both do exactly the same thing, although from reading the documentation it appears as if using effects is meant to be 'easier'. However they seem the same to me, one uses VSSetConstantBuffers and the other GetConstantBufferByName. Is there something I'm missing here?

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• Infinite terrain shadows

  - by user35399

  I'm creating an infinite terrain engine, which generates the terrain either with fractals or noise. How can I make dynamic shadows for the sun on this terrain, if I don't know in advance what will be rendered in front of the sun. My terrain: The sun is the only light, it is directional, my terrain is generated on a plane which is positioned before the camera, frustum culled and fits the size of the viewing frustum. It is height mapped with generated noise texture, and using tessellation shaders on it. Video:http://www.youtube.com/watch?v=tk6yFwYusOs Dynamic shadows with the infinite terrain.

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• Making particle bounce off a line with friction

  - by Dlaor

  So I'm making a game and I need a particle to bounce off a line. I've got this so far: public static Vector2f Reflect(this Vector2f vec, Vector2f axis) //vec is velocity { Vector2f result = vec - 2f * axis * axis.Dot(vec); return result; } Which works fine, but then I decided I wanted to be able to change the bounciness and friction of the bounce. I got bounciness down... public static Vector2f Reflect(this Vector2f vec, Vector2f axis, float bounciness) //Bounciness goes from 0 to 1, 0 being not bouncy and 1 being perfectly bouncy { var reflect = (1 + bounciness); //2f Vector2f result = vec - reflect * axis * axis.Dot(vec); return result; } But when I tried to add friction, everything went to hell and back... public static Vector2f Reflect(this Vector2f vec, Vector2f axis, float bounciness, float friction) //Does not work at all! { var reflect = (1 + bounciness); //2f Vector2f subtract = reflect * axis * axis.Dot(vec); Vector2f subtract2 = axis * axis.Dot(vec); Vector2f result = vec - subtract; result -= axis.PerpendicularLeft() * subtract2.Length() * friction; return result; } Any physics guys willing to help me out with this? (if you're not sure what I mean with the friction of a bounce see this: http://www.metanetsoftware.com/technique/diagrams/A-1_particle_collision.swf)

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• OpenGL + Allegro. Moving from software drawing X Y to openGL is confusing

  - by Aaron

  Having a fair bit of trouble. I'm used to Allegro and drawing sprites on a bitmap buffer at X Y coords. Now I've started a test project with OpenGL and its weird. Basically, as far as I know, theirs many ways to draw stuff in OpenGL. At the moment, I think I'm creating a Quad? Whatever that is, and I think Ive given it a texture of a bitmap and them im drawing that: GLuint gl_image; bitmap = load_bitmap("cat.bmp", NULL); gl_image = allegro_gl_make_texture_ex(AGL_TEXTURE_MASKED, bitmap, GL_RGBA); glBindTexture(GL_TEXTURE_2D, gl_image); glBegin(GL_QUADS); glColor4ub(255, 255, 255, 255); glTexCoord2f(0, 0); glVertex3f(-0.5, 0.5, 0); glTexCoord2f(1, 0); glVertex3f(0.5, 0.5, 0); glTexCoord2f(1, 1); glVertex3f(0.5, -0.5, 0); glTexCoord2f(0, 1); glVertex3f(-0.5, -0.5, 0); glEnd(); So yeah. So I got a few questions: Is this the best way of drawing a sprite? Is it suitable? The big question: Can anyone help / Does anyone know any tutorials on this weird coordinate thing? If it even is that. It's vastly different from XY, but I want to learn it. I was thinking maybe I could learn how this weird positioning stuff works, and then write a function to try and translate it to X and Y coords. Thats about it. I'm still trying to figure it all out on my own but any contributions you guys can make would be greatly appreciated =D Thanks!

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• How can I replicate the look and limitations of the Super NES?

  - by Mikalichov

  I am looking to produce graphics with the same limitations / look that in the Super Nes era. I am specifically looking for graphics similar to Chrono Trigger / FF6. It would be a lot easier to do if I had an idea of the resolution / dpi I am supposed to use. I found that the technical specs for the SNES are: Progressive: 256 × 224, 512 × 224, 256 × 239, 512 × 239 Interlaced: 512 × 448, 512 × 478 But even by using these resolutions, it is pointless if I set it at 72dpi, as I will still have possibly very detailed graphics (that is the main thing, I don't want detailed graphics, I want to go pixelated). I figured it might be related to the sprite size limit, i.e.: Sprites can be 8 × 8, 16 × 16, 32 × 32, or 64 × 64 pixels, each using one of eight 16-color palettes and tiles from one of two blocks of 256 in VRAM. Up to 32 sprites and 34 8 × 8 sprite tiles may appear on any one line. This would work for sprites (characters, objects), but what about maps? Are they built entirely from 8x8 tiles? And then, at what resolution is the end result displayed? It might seem like I am giving the question and answers at the same time, but all of these are suppositions I am making, so could someone confirm or correct them?

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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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• 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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• Avatar creation / dressing feature

  - by milesmeow

  What is the effort required to use a game engine such as Unreal or Unity, etc. and create an avatar customization features...complete with clothes. The user should be able to customize the body features and the clothes need to then fit onto the customized body. What is needed? Can you create one set of 3D models for clothes and somehow programatically have the clothes adapt to the body shape? I.e. The same shirt model will be able to fit on a skinny person vs. someone with a big beer belly. How difficult is this? What are the steps needed to implement this avatar creation/dressing feature. I'm basically talking about something like in Rockband 3.

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• Must all AI states be able to react to any event?

  - by Prog

  FSMs implemented with the State design pattern are a common way to design AI agents. I am familiar with the State design pattern and know how to implement it. How is this used in games to design AI agents? Consider a simplified class Monster, representing an AI agent: class Monster { State state; // other fields omitted public void update(){ // called every game-loop cycle state.execute(this); } public void setState(State state){ this.state = state; } // irrelevant stuff omitted } There are several State subclasses implementing execute() differently. So far, classic State pattern. AI agents are subject to environmental effects and other objects communicating with them. For example, an AI agent might tell another AI agent to attack (i.e. agent.attack()). Or a fireball might tell an AI agent to fall down. This means that the agent must have methods such as attack() and fallDown(), or commonly some message receiving mechanism to understand such messages. With an FSM, the current State of the agent should be the one taking care of such method calls - i.e. the agent delegates to the current state upon every event. Is this correct? If correct, how is this done? Are all states obligated by their superclass to implement methods such as attack(), fallDown() etc., so the agent can always delegate to them on almost every event? Or is it done in some other way?

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• How to solve problems with movement in simple tile based multiplayer game?

  - by Murlo

  I'm making a simple tile based 2D multiplayer game in JavaScript using socket.io where you can move one tile every 200 ms. The two solutions I've tried are as follows: The client sends "walk one tile north" every 200 ms. Problem: People can easily hack the client to send the action more often. The client sends "walking north" and "stopped walking". Problem: Sometimes the player moves extra steps when "stopped walking" doesn't arrive in time. Do you know a way around these problems or is there a better way to do it? EDIT: Regarding the first solution I've tried adding validation on the server to check if it has been 200 ms since last movement. The problem is that latency still encourages people just to spam the action as much as possible, giving them an unfair advantage.

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• Flixel: doesn't light tile up

  - by Arno

  i'm creating a game with flixel, and I want to have a effect when you mouse over a tile, I tried implementing it, and this is what it gives: public class GameState extends FlxState { private var block:EmptyBlock; public function GameState() { } override public function create():void { for (var i:Number = 0; i < 30; i++) { block = new EmptyBlock(i, 20); block.create(); } } override public function update():void { block.update(); super.update(); } } } GameState class and here is the EmptyBlock class: public class EmptyBlock { private var x:int; private var y:int; private var row:FlxRect public function EmptyBlock(x:int, y:int ) { this.x = x; this.y = y; } public function create():void { row = new FlxRect(x, y, 32, 32); trace ("Created block at" + x + y); } public function update():void { if (FlxG.mouse.screenX == row.x) { if (FlxG.mouse.screenY == row.y) { var outline:FlxSprite = new FlxSprite(row.x, row.y).makeGraphic(row.width, row.height, 0x002525); } } } } }

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• How are trajectories calculated and transmitted to other players in Multi-Player ?

  - by giulio

  I play alot of COD4. And can see tracers for gunfire, missles, care packages fall from helicopters etc. There is alot of activity. I am curious to know the algorithm (at a high level) that manages all this action when you have 20 people on a map shooting each other to death ? This question touches on the subject but doesn't ask for a more in-depth answer as to how you the developers go about calculating and transmitting movement and collision detection for projectiles, be it missles/bullets or any other object that is flying through the air in real-time.

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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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• Comparison between a value with static type Array and a possibly unrelated type Class

  - by Kaoru

  I got this error: Comparison between a value with static type Array and a possibly unrelated type Class. After i modify the class to many classes (before that, everything is on 1 class (all of the functions)), but after i move everything to many classes (all the functions is not on 1 class), that error appear. How to solve this? I am using AS3 and as3isolib Library. Here is the code after i modify the function: if (Constant.dude.y < Constant._numY) { if (Constant.dude.sprites != marioBackClass) { Constant.dude.sprites = [marioBackClass]; Constant.dudeDir = "Up"; } } Here is the code before i change the function to many classes: if (dude.y < ._numY) { if (dude.sprites.toString() != marioBackClass.toString()) { dude.sprites = [marioBackClass]; dudeDir = "Up"; } }

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• what knowledge would I need to make a good simulation games

  - by Skeith

  I have an idea for a game like theme park but don't know how simulation games are made. I am not some noob on his first game so I appreciated constructive answers instead of "its hard, don't do it". What I want is to know how simulation game mechanics are put together. I figure it would be heaver on the AI than normal games and not knowing much about AI would like to know some programming techniques I should look into for this style game. specific techniques please not just a book on ai. what sort of architecture would be used? I guess it would have some sort of probability engine with pre designed events that are triggered based on the AI state. Would it use a FSM or be purely event driven ? Any information on how a sims game functions would be cool.

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• How to store bitmaps in memory?

  - by Geotarget

  I'm working with general purpose image rendering, and high-performance image processing, and so I need to know how to store bitmaps in-memory. (24bpp/32bpp, compressed/raw, etc) I'm not working with 3D graphics or DirectX / OpenGL rendering and so I don't need to use graphics card compatible bitmap formats. My questions: What is the "usual" or "normal" way to store bitmaps in memory? (in C++ engines/projects?) How to store bitmaps for high-performance algorithms, such that read/write times are the fastest? (fixed array? with/without padding? 24-bpp or 32-bpp?) How to store bitmaps for applications handling a lot of bitmap data, to minimize memory usage? (JPEG? or a faster [de]compression algorithm?) Some possible methods: Use a fixed packed 24-bpp or 32-bpp int[] array and simply access pixels using pointer access, all pixels are allocated in one continuous memory chunk (could be 1-10 MB) Use a form of "sparse" data storage so each line of the bitmap is allocated separately, reusing more memory and requiring smaller contiguous memory segments Store bitmaps in its compressed form (PNG, JPG, GIF, etc) and unpack only when its needed, reducing the amount of memory used. Delete the unpacked data if its not used for 10 secs.

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• I love video games and know I want to work in the sector but hate programming

  - by normyp

  I just hate how I'll put in 8-10 hours in and get little to nothing back. The return results for your efforts seem to be pathetically small the majority of the time and I don't find that rewarding enough for me to put in the time and effort to learn programming and make myself better. I've heard game design is fun and I think I'd love that but apparently you can only get into that really if you can program, is that true? I feel a bit lost because I'm doing a degree in Games Technology and am worried that I'm sending myself into a job I'll hate.

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• Multiplayer tile based movement synchronization

  - by Mars

  I have to synchronize the movement of multiple players over the Internet, and I'm trying to figure out the safest way to do that. The game is tile based, you can only move in 4 directions, and every move moves the sprite 32px (over time of course). Now, if I would simply send this move action to the server, which would broadcast it to all players, while the walk key is kept being pressed down, to keep walking, I have to take this next command, send it to the server, and to all clients, in time, or the movement won't be smooth anymore. I saw this in other games, and it can get ugly pretty quick, even without lag. So I'm wondering if this is even a viable option. This seems like a very good method for single player though, since it's easy, straight forward (, just take the next movement action in time and add it to a list), and you can easily add mouse movement (clicking on some tile), to add a path to a queue, that's walked along. The other thing that came to my mind was sending the information that someone started moving in some direction, and again once he stopped or changed the direction, together with the position, so that the sprite will appear at the correct position, or rather so that the position can be fixed if it's wrong. This should (hopefully) only make problems if someone really is lagging, in which case it's to be expected. For this to work out I'd need some kind of queue though, where incoming direction changes and stuff are saved, so the sprite knows where to go, after the current movement to the next tile is finished. This could actually work, but kinda sounds overcomplicated. Although it might be the only way to do this, without risk of stuttering. If a stop or direction change is received on the client side it's saved in a queue and the char keeps moving to the specified coordinates, before stopping or changing direction. If the new command comes in too late there'll be stuttering as well of course... I'm having a hard time deciding for a method, and I couldn't really find any examples for this yet. My main problem is keeping the tile movement smooth, which is why other topics regarding synchronization of pixel based movement aren't helping too much. What is the "standard" way to do this?

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• Rendering transparent textures in directX

  - by Vibhore Tanwer

  I am working with a directX application with WPF, I am facing a problem with videos and images that contains transparent pixels, I have to draw a color in background an then a video/image over it. What I expect is background color should be visible while playing video only non transparent pixels should be visible but what I get is a black background behind the video. I am using following settings on device to achieve alpha blending : device.RenderState.SourceBlend = Blend.SourceAlpha; device.RenderState.DestinationBlend = Blend.InvSourceAlpha; device.RenderState.AlphaBlendEnable = true; What am I missing here? What is the best approach to handle transparent videos? Any help will be of great value to me.

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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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