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• What's a way to implement a flexible buff/debuff system?

  - by gkimsey

  Overview: Lots of games which RPG-like statistics allow for character "buffs", ranging from simple "Deal 25% extra damage" to more complicated things like "Deal 15 damage back to attackers when hit." The specifics of each type of buff aren't really relevant. I'm looking for a (presumably object-oriented) way to handle arbitrary buffs. Details: In my particular case, I have multiple characters in a turn-based battle environment, so I envisioned buffs being tied to events like "OnTurnStart", "OnReceiveDamage", etc. Perhaps each buff is a subclass of a main Buff abstract class, where only the relevant events are overloaded. Then each character could have a vector of buffs currently applied. Does this solution make sense? I can certainly see dozens of event types being necessary, it feels like making a new subclass for each buff is overkill, and it doesn't seem to allow for any buff "interactions". That is, if I wanted to implement a cap on damage boosts so that even if you had 10 different buffs which all give 25% extra damage, you only do 100% extra instead of 250% extra. And there's more complicated situations that ideally I could control. I'm sure everyone can come up with examples of how more sophisticated buffs can potentially interact with each other in a way that as a game developer I may not want. As a relatively inexperienced C++ programmer (I generally have used C in embedded systems), I feel like my solution is simplistic and probably doesn't take full advantage of the object-oriented language. Thoughts? Has anyone here designed a fairly robust buff system before?

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• Java : 2D Collision Detection

  - by neko

  I'm been working on 2D rectangle collision for weeks and still cannot get this problem fixed. The problem I'm having is how to adjust a player to obstacles when it collides. I'm referencing this link. The player sometime does not get adjusted to obstacles. Also, it sometimes stuck in obstacle guy after colliding. Here, the player and the obstacle are inheriting super class Sprite I can detect collision between the two rectangles and the point by ; public Point getSpriteCollision(Sprite sprite, double newX, double newY) { // set each rectangle Rectangle spriteRectA = new Rectangle( (int)getPosX(), (int)getPosY(), getWidth(), getHeight()); Rectangle spriteRectB = new Rectangle( (int)sprite.getPosX(), (int)sprite.getPosY(), sprite.getWidth(), sprite.getHeight()); // if a sprite is colliding with the other sprite if (spriteRectA.intersects(spriteRectB)){ System.out.println("Colliding"); return new Point((int)getPosX(), (int)getPosY()); } return null; } and to adjust sprites after a collision: // Update the sprite's conditions public void update() { // only the player is moving for simplicity // collision detection on x-axis (just x-axis collision detection at this moment) double newX = x + vx; // calculate the x-coordinate of sprite move Point sprite = getSpriteCollision(map.getSprite().get(1), newX, y);// collision coordinates (x,y) if (sprite == null) { // if the player is no colliding with obstacle guy x = newX; // move } else { // if collided if (vx > 0) { // if the player was moving from left to right x = (sprite.x - vx); // this works but a bit strange } else if (vx < 0) { x = (sprite.x + vx); // there's something wrong with this too } } vx=0; y+=vy; vy=0; } I think there is something wrong in update() but cannot fix it. Now I only have a collision with the player and an obstacle guy but in future, I'm planning to have more of them and making them all collide with each other. What would be a good way to do it? Thanks in advance.

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• How do I find which isometric tiles are inside the cameras current view?

  - by Steve

  I'm putting together an isometric engine and need to cull the tiles that aren't in the camera's current view. My tile coordinates go from left to right on the X and top to bottom on the Y with (0,0) being the top left corner. If I have access to say the top left, top right, bottom left and bottom right corner coordinates, is there a formula or something I could use to determine which tiles fall in range? This is a screenshot of the layout of the tiles for reference. If there isn't one, or there's a better way to determine which tiles are on screen and which to cull, I'm all ears and am grateful for any ideas. I've got a few other methods I may be able to try such as checking the position of the tile against a rectangle. I pretty much just need something quick. Thanks for giving this a read =)

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• Logic / Render phases with a single thread

  - by DevilWithin

  The question I have may generate different opinions from different developers, but I'd still like to have an answer on this. Its all about the updating and rendering steps of the game loop, and their use under multi and single threaded environments. Currently, there is one thread running, which takes care of sequentially executing events , logic and rendering. Sometimes, the logic part may wish to change the game state to something else, and in between do some loading of files. The result is that the game hangs completely while loading, and then proceeds to normal rendering of the new state. To go around this, i could make another thread, do the loading there while the main thread renders a smooth loading animation, and then proceed normally. The real question is about if i don't create another thread. I could refresh the screen from the logic thread, and provide some basic loading screen, which could be not so smoothly updated while the files load. In fact, this approach is not loved by a lot of developers, as it scrambles render code in the logic step, which may cause problems of different sorts.. Hope its clear!

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• Using SVN post-commit hook to update only files that have been commited

  - by fondie

  I am using an SVN repository for my web development work. I have a development site set up which holds a checkout of the repository. I have set up an SVN post-commit hook so that whenever a commit is made to the repository the development site is updated: cd /home/www/dev_ssl /usr/bin/svn up This works fine but due to the size of the repository the updates take a long time (approx. 3 minutes) which is rather frustrating when making regular commits. What I'd like is to change the post-commit hook to only update those files/directories that have been committed but I don't know how to go about doing this. Updating the "lowest common directory" would probably be the best solution, e.g. If committing the follow files: /branches/feature_x/images/logo.jpg /branches/feature_x/css/screen.css It would update the directory: /branches/feature_x/ Can anyone help me create a solution that achieves this please? Thanks! Update: The repository and development site are located on the same server so network issues shouldn't be involved. CPU usage is very low, and I/O should be ok (it's running on hi-spec dedicated server) The development site is approx. 7.5GB in size and contains approx. 600,000 items, this is mainly due to having multiple branches/tags

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• How can I fix latency problems for car game?

  - by Freddy

  Basically I'm trying to make a online car racing game for IOS using Game Center real time multiplayer. I have setup a timer that sends data every 0.02 seconds to the other player with the current position and current angle. However sometimes, it will take LONGER then these 0.02 seconds for the package to be sent and then received. In this case i have implemented a method that "calculate" what the next position should be if no position is received based on the last position and angle. However, when the data then receives for let say 0.04 seconds after, it will change back to the last position, which will result in the car "jumping" back and lag. And If i just keep ignoring the data it will never take any input from the other user. Is their any way to prevent this? I suppose this needs to be fixed with some client-sided algorithm.

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• How to create realistic 2d lighting using colour temperature

  - by Truncheon

  I'm looking for a lighting algorithm that produces realistic lights expressed in kelvins, from about 2500k to 6500k. What I'm confused about is how to make the lights properly interact with the colors of game objects. If a whole level is fully lit (overcast daylight) then it would seem that I should use just the color of the object. But what if I'm in a closed room with no windows, and there is an incandescent bulb shining light in the room? How would that light properly light up the objects in the room? There does not seem to be an obvious solution to the problem. And simply mixing the color of the light with the colors of the object, seems an inaccurate approach.

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• Why was my Facebook game rejected with the note that "your app icon must not overlap with content in your cover image?"

  - by peterwilli

  My FB game just recently got rejected for two reasons. The first I fixed, but I just can't see to figure out what they mean by the second, and I was hoping someone else got the same issue and did know what they meant. The remaining error is: Cover Image Your app icon must not overlap with content in your cover image. Click on 'Web Preview' in the 'App Details' section to check for overlap prior to submitting your app. See more here. All I know is that the rejection has something to do with the cover image, not the icons or the screenshots. The web preview of my game looks like this now: Please let me know what to do to get approved.

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• Bullet pattern isn't behaving as expected

  - by Fibericon

  I have a boss that's supposed to continuously shoot five streams of bullets, each at a different angle. It starts off just fine, but doesn't seem to want to use its entire array of bullets. No matter how large I set the length of bulletList, the boss simply stops shooting after a couple of seconds, then pick up again shortly. Here's what I'm using to generate the pattern: Vector3 direction = new Vector3(0.5f, -1, 0); for (int r = 0; r < boss.gun.bulletList.Length; r++) { if (!boss.gun.bulletList[r].isActive) { boss.gun.bulletList[r].direction = direction; boss.gun.bulletList[r].speed = boss.gun.BulletSpeedAdjustment; boss.gun.bulletList[r].position = boss.position; boss.gun.bulletList[r].isActive = true; break; } } direction = new Vector3(-0.5f, -1, 0); //Repeat with four similar for loops, to place a bullet in each direction It doesn't seem to matter if the bulletList length is 1000 or 100000. What could be the issue here?

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• Designing generic render/graphics component in C++?

  - by s73v3r

  I'm trying to learn more about Component Entity systems. So I decided to write a Tetris clone. I'm using the "style" of component-entity system where the Entity is just a bag of Components, the Components are just data, a Node is a set of Components needed to accomplish something, and a System is a set of methods that operates on a Node. All of my components inherit from a basic IComponent interface. I'm trying to figure out how to design the Render/Graphics/Drawable Components. Originally, I was going to use SFML, and everything was going to be good. However, as this is an experimental system, I got the idea of being able to change out the render library at will. I thought that since the Rendering would be fairly componentized, this should be doable. However, I'm having problems figuring out how I would design a common Interface for the different types of Render Components. Should I be using C++ Template types? It seems that having the RenderComponent somehow return it's own mesh/sprite/whatever to the RenderSystem would be the simplest, but would be difficult to generalize. However, letting the RenderComponent just hold on to data about what it would render would make it hard to re-use this component for different renderable objects (background, falling piece, field of already fallen blocks, etc). I realize this is fairly over-engineered for a regular Tetris clone, but I'm trying to learn about component entity systems and making interchangeable components. It's just that rendering seems to be the hardest to split out for me.

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• Publishing a game -- any way to target both WP7 and Win8 Store?

  - by Rei Miyasaka

  I'm at a dilemma which seems should soon become an important issue for a lot of developers. If I build a game in XNA, I won't be able to publish it on the Windows 8 Store, as it would be a classic application -- and classic applications can't be sold on the store. If I build a game in Metro DirectX, I would be able to sell it on the Store, but porting it to Windows Phone would involve porting it to Reach XNA, which in fact would likely involve more effort even than porting to OS X or Android -- both of which support C++. Of all the WinRT API that is supported on C++/JS/.NET, DirectX can only be programmed from C++. It's also unlikely that Microsoft will update Windows 7 or Vista to support the new DirectX features, although that would make the Metro DirectX the first new version of DirectX to stop supporting the immediate predecessor OS. If I build a game in Pre-Win8 DirectX 9/10/11, I won't be able to sell it on the Windows Store or Windows Phone, but I could sell it on something like Steam. It would also involve the most amount of manual plumbing. In fact, DirectWrite, despite being part of DirectX 11, doesn't talk to Direct3D. I'm getting really tired of all these restrictions -- artificial and otherwise -- and I'm coming to a point where I'm considering switching to a platform with a less fragmented API, like Android or Mac/iOS. As far as bringing a game into market goes, excluding the actual market share of any platforms that I might consider, what other factors would help me in making a decision? Just a few years ago this question was a lot easier to answer: if you were primarily concerned with Windows platforms, all you had to answer was whether you wanted DirectX, XNA, or something like SlimDX. If you made the wrong decision, no biggie -- all you really would have lost is XBox and the fairly small Windows Phone market.

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• Changing DisplayMode seems not to update Input&Graphic Dimension

  - by coding.mof

  I'm writing a small game using Slick and Nifty-GUI. At the program startup I set the DisplayMode using the following lines: AppGameContainer app = new ... app.setDisplayMode( 800, 600, false ); app.start(); I wrote a Nifty-ScreenController for my settings dialog in which the user can select the desired DisplayMode. When I try to set the new DisplayMode within this controller class the game window gets resized correctly but the Graphics and Input objects aren't updated accordingly. Therefore my rendering code just uses a part of the new window. I tried to set different DisplayModes in the main method to test if it's generally possible to invoke this method multiple times. It seems that changing the DisplayMode only works before I call app.start(). Furthermore I tried to update the Graphics & Input object manually but the init and setDimensions methods are package private. :( Does someone know what I'm doing wrong and how to change the DisplayMode correctly?

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• Creating Gun objects with upgrades?

  - by zardon

  I have a series of guns in my game. I use the Gun class/object like this: (Just an example) @interface Gun : NSObject { NSString *name; // Six-shooter NSNumber *cost; NSNumber *clipPrice; // ie: 700 NSNumber *clipCapacity; // 6 NSNumber *ammoCapacity; // 6 NSNumber *damage; // 0-10 NSNumber *accuracy; // 0-10 NSNumber *fireRate; // 0-10 NSNumber *range; // 0-10 // Not sure if I have all the stats, but this is fine for now } Lets say I want to have 3 upgrades per gun. My problem is I am not sure how to do this. Examples: increase fire-rate increase range increase accuracy silencer double ammo capacity (ie: Drum) double clip capacity (ie: Taped magazine) Thus my question is, I'd like to implement an upgrade system to guns but I am not sure how to do it. Would there be an Upgrade object which is a child to the Gun class, or would it be seperate class altogether. Thanks for your time.

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• Point Light Soft Shadows

  - by notabene

  How to implement soft shadows for omni directional (point) light. We use typical shadow mapping technique. Depth is rendered to texture cube and addresing is pretty simple then. Just using vector from light to fragments world position. It works perfectly. Until you want soft shadows. In our engine we use PCSS technique for spot lights. But for point light there begins troubles. How to sample in 3D? I developed technique when orthonormal basis is created from a direction and upvector (0,1,0). And then multiply sampling vector (something like this (1.0,i/depthMapSize,j/depthMapSize) with this basis. But this (of course :)) looks pretty bad for vectors near (0,1,0) and (0,-1,0). I will appreciate any help on this.

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• Continuous Collision Detection Techniques

  - by Griffin

  I know there are quite a few continuous collision detection algorithms out there , but I can't find a list or summary of different 2D techniques; only tutorials on specific algorithms. What techniques are out there for calculating when different 2D bodies will collide and what are the advantages / disadvantages of each? I say techniques and not algorithms because I have not yet decided on how I will store different polygons which might be concave or even have holes. I plan to make a decision on this based on what the algorithm requires (for instance if an algorithm breaks down a polygon into triangles or convex shapes I will simply store the polygon data in this form).

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• Game Input mouse filtering

  - by aaron

  I'm having a problem with filtering mouse inputs, the method I am doing right know moves the cursor back to the center of the screen each frame. But I cant do this because it messes with other things. Does anyone know how to implement this with delta mouse movement. Here is the relevant code. void update() { static float oldX = 0; static float oldY = 0; static float walkSpeed = .05f; static float sensitivity = 0.002f;//mouse sensitivity static float smooth = 0.7f;//mouse smoothing (0.0 - 0.99) float w = ScreenResolution.x/2.0f; float h = ScreenResolution.y/2.0f; Vec2f scrc(w,h); Vec2f mpos(getMouseX(),getMouseY()); float x = scrc.x-mpos.x; float y = scrc.y-mpos.y; oldX = (oldX*smooth + x*(1.0-smooth)); oldY = (oldY*smooth + y*(1.0-smooth)); x = oldX * sensitivity; y = oldY * sensitivity; camera->rotate(Vec3f(y,0,0)); transform->setRotation(transform->getRotation()*Quaternionf::fromAxisAngle(0.0f,1.0f,0.0f,-x)); setMousePosition((int)scrc.x,(int)scrc.y);//THIS IS THE PROBLEM LINE HOW CAN I AVOID THIS .... }

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• "Walking" along a rotating surface in LimeJS

  - by Dave Lancea

  I'm trying to have a character walk along a plank (a long, thin rectangle) that works like a seesaw, being rotated around a central point by box2d physics (falling objects). I want the left and right arrow keys to move the player up and down the plank, regardless of it's slope, and I don't want to use real physics for the player movement. My idea for achieving this was to compute the coordinate based on the rotation of the plank and the current location "up" or "down" the board. My math is derived from here: http://math.stackexchange.com/questions/143932/calculate-point-given-x-y-angle-and-distance Here's the code I have so far: movement = 0; if(keys[37]){ // Left movement = -3; } if(keys[39]){ // Right movement = 3; } // this.plank is a LimeJS sprite. // getRotation() Should return an angle in degrees var rotation = this.plank.getRotation(); // this.current_plank_location is initialized as 0 this.current_plank_location += movement; var x_difference = this.current_plank_location * Math.cos(rotation); var y_difference = this.current_plank_location * Math.sin(rotation); this.setPosition(seesaw.PLANK_CENTER_X + x_difference, seesaw.PLANK_CENTER_Y + y_difference); This code causes the player to swing around in a circle when they are out of the center of the plank given a slight change in rotation of the plank. Any ideas on how I can get the player position to follow the board position?

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• What''s easy extensible technique to store game data?

  - by Miro

  I'm looking for library/technique for storing my game resources - levels, object (effects,world info), items(price,effects,...), NPC(visual info, behavior), everything except graphics/audio stuff. I've seen lua used for Awesome WM configuration. protobuf looks good, but it seems to be designed for network communication. I've tried to write my own parser, but as the project grows it's more and more harder to manage it and catch all the bugs. My requiremets: stability easy extension of data without need to convert older versions to newer good(don't have to be the best) performance of loading not much coding not XML!

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• fragment shader directional light positioning with camera

  - by meWantToLearn

  Im trying to set up directional lighting in the fragment shader. So the direction of my light moves with the camera position. #version 150 core uniform sampler2D diffuseTex; uniform vec4 lightColour; uniform vec3 lightDirection; vec3 LNorm = normalize(lightDirection); vec3 normal = normalize(IN.normal); vec3 calColour = lightColour[i].rgb * intensity; gl_FragColor = vec4(diffuse.rbg * calColour, diffuse.a); It lights the entire scene.

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• How can I get my meshes to work with Bullet Physics?

  - by Molmasepic

  The problem is that I'm trying to use my meshes with Bullet Physics for the collision part of my game. When I attempted doing this method with my GLM(model loading library by nate robins) model, I get a segmentation fault in the debug, so I figured that it doesnt like the coordinate variables of the model. If i use blender to export my model as a collision file, what type of file should I use? I have heard of a .bullet exporter, but i dont know hot to integrate this python script into my Blender 2.5 program.

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• XNA model drawing problem

  - by user1990950

  When using this code: public static void DrawModel(Model model, Vector3 position, Vector3 offset, float xRotation, float yRotation, float zRotation, float allrot, float xScale, float yScale, float zScale) { position.Y *= -1; offset.Y *= -1; Matrix worldMatrix = ((Matrix.CreateRotationZ(MathHelper.ToRadians(zRotation)) * Matrix.CreateRotationX(MathHelper.ToRadians(xRotation))) * Matrix.CreateRotationY(MathHelper.ToRadians(yRotation))) * (Matrix.CreateTranslation(offset) * Matrix.CreateRotationY(MathHelper.ToRadians(allrot))) * Matrix.CreateScale(xScale, yScale, zScale); worldMatrix *= Matrix.CreateTranslation(position) * theCamera.GetTransformation() * Matrix.CreateTranslation(new Vector3(-(graphics.GraphicsDevice.Viewport.Width / 2), graphics.GraphicsDevice.Viewport.Height / 2, 0)); foreach (ModelMesh mesh in model.Meshes) { for (int i = 0; i < mesh.Effects.Count; i++) { ((BasicEffect)mesh.Effects[i]).EnableDefaultLighting(); ((BasicEffect)mesh.Effects[i]).World = worldMatrix; ((BasicEffect)mesh.Effects[i]).View = viewMatrix; ((BasicEffect)mesh.Effects[i]).Projection = projectionMatrix; } mesh.Draw(); } } The model rotates and then scales. It should scale and then rotate, but whenever I try to change it, it won't work.

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• Check if an object is facing another based on angles

  - by Isaiah

  I already have something that calculates the bearing angle to get one object to face another. You give it the positions and it returns the angle to get one to face the other. Now I need to figure out how tell if on object is facing toward another object within a specified field and I can't find any information about how to do this. The objects are obj1 and obj2. Their angles are at obj1.angle and obj2.angle. Their vectors are at obj1.pos and obj2.pos. It's in the format [x,y]. The angle to have one face directly at another is found with direction(obj1.pos,obj2.pos). I want to set the function up like this: isfacing(obj1,obj2,area){...} and return true/false depending if it's in the specified field area to the angle to directly see it. I've got a base like this: var isfacing = function (obj1,obj2,area){ var toface = direction(obj1.pos,obj2.pos); if(toface+area >= obj1.angle && ob1.angle >= toface-area){ return true; } return false; } But my problem is that the angles are in 360 degrees, never above 360 and never below 0. How can I account for that in this? If the first object's angle is say at 0 and say I subtract a field area of 20 or so. It'll check if it's less than -20! If I fix the -20 it becomes 340 but x < 340 isn't what I want, I'd have to x 340 in that case. Is there someone out there with more sleep than I that can help a new dev pulling an all-nighter just to get enemies to know if they're attacking in the right direction? I hope I'm making this harder than it seems. I'd just make them always face the main char if the producer didn't want attacks from behind to work while blocking. In which case I'll need the function above anyways. I've tried to give as much info as I can think would help. Also this is in 2d.

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• How to implement an intelligent enemy in a shoot-em-up?

  - by bummzack

  Imagine a very simple shoot-em-up, something we all know: You're the player (green). Your movement is restricted to the X axis. Our enemy (or enemies) is at the top of the screen, his movement is also restricted to the X axis. The player fires bullets (yellow) at the enemy. I'd like to implement an A.I. for the enemy that should be really good at avoiding the players bullets. My first idea was to divide the screen into discrete sections and assign weights to them: There are two weights: The "bullet-weight" (grey) is the danger imposed by a bullet. The closer the bullet is to the enemy, the higher the "bullet-weight" (0..1, where 1 is highest danger). Lanes without a bullet have a weight of 0. The second weight is the "distance-weight" (lime-green). For every lane I add 0.2 movement cost (this value is kinda arbitrary now and could be tweaked). Then I simply add the weights (white) and go to the lane with the lowest weight (red). But this approach has an obvious flaw, because it can easily miss local minima as the optimal place to go would be simply between two incoming bullets (as denoted with the white arrow). So here's what I'm looking for: Should find a way through bullet-storm, even when there's no place that doesn't impose a threat of a bullet. Enemy can reliably dodge bullets by picking an optimal (or almost optimal) solution. Algorithm should be able to factor in bullet movement speed (as they might move with different velocities). Ways to tweak the algorithm so that different levels of difficulty can be applied (dumb to super-intelligent enemies). Algorithm should allow different goals, as the enemy doesn't only want to evade bullets, he should also be able to shoot the player. That means that positions where the enemy can fire at the player should be preferred when dodging bullets. So how would you tackle this? Contrary to other games of this genre, I'd like to have only a few, but very "skilled" enemies instead of masses of dumb enemies.

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• How can I pass an external instance to the constructor of an object that's being created using the default XNA XML content loader?

  - by Michael

  I'm trying to understand how to use the XNA XML content importer to instantiate non-trivial objects that are more than a collection of basic properties (e.g., a class that inherits from DrawableGameObject or GameObject and requires other things to be passed into its constructor). Is it possible to pass existing external instances (e.g., an instance of the current Game) to the constructor of an object that's being created using the default XNA XML content loader? For example, imagine that I have the following class, inheriting from DrawableGameComponent: public class Character : DrawableGameComponent { public string Name { get; set; } public Character(Game game) : base(game) { } public override void Update(GameTime gameTime) { } public override void Draw(GameTime gameTime) { } } If I had a simple class that did not need other parameters in its constructor (i.e., the Game instance), then I could simply use this XML: <XnaContent> <Asset Type="MyNamespace.Character"> <Name>John Doe</Name> </Asset> </XnaContent> ...and then create an instance of Character using this code: var character = Content.Load<Character>("MyXmlAssetName"); But that won't work because I need to pass the need to pass the Game into the constructor. What's the best way to handle this situation? Is there a way to pass in things like the current Game using the default XNA XML content loader? Do I need to write my own XML loader? (If so, how?) Is there a better object-oriented design that I should be using for my classes? Note: Although I used Game in this example, I'm really just asking how to pass any type of existing instance to my constructors. (For example, I'm using the Farseer Physics Engine, and some of my classes also need a reference to the Farseer World object too.) Thanks in advance.

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• Confusion about Rotation matrices from Euler Angles

  - by xEnOn

  I am trying to learn more about Euler Angles so as to help myself in understanding how I can control my camera better in the game. I came across the following formula that converts Euler Angles to rotation matrices: In the equation, I could see that the first matrix from the left is the rotation matrix about x-axis, the second is about y-axis and the third is about z-axis. From my understanding about ordinary matrix transformations, the later transformation is always applied to the right hand side. And if I'm right about this, then the above equation should have a rotation order starting from rotating about z-axis, y-axis, then finally x-axis. But, from the symbols it seems that the rotation order start rotating about x-axis, then y-axis, then finally z-axis. What should the actual order of the rotation be? Also, I am confuse about if the input vector, in this case, would be a row vector on the left, or a column vector on the right?

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