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  • Isometric Movement in Javascript In the DOM

    - by deep
    I am creating a game using Javascript. I am not using the HTML5 Canvas Element. The game requires both side view controlles, and Isometric controls, hence the movementMode variable. I have got the specific angles, but I am stuck on an aspect of this. https://chillibyte.makes.org/thimble/movement function draw() { if (keyPressed) { if (whichKey == keys.left) { move(-1,0) } if (whichKey == keys.right) { move(1,0) } if (whichKey == keys.up) { move(0,-1) } if (whichKey == keys.down) { move(0,1) } } } This gives normal up, down , left, and right. i want to refactor this so that i can plugin two variables into the move() function, which will give the movement wanted. Now for the trig. /| / | / | y / | /a___| x Take This Right angled Triangle. given that x is 1, y must be equal to tan(a) That Seems right. However, when I do Math.tan(45), i get a number similar to 1.601. Why? To Sum up this question. I have a function, and i need a function which will converts an angle to a value, which will tell me the number of pixels that i need to go up by, if i only go across 1. Is it Math.tan that i want? or is it something else?

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  • How can I test different TV display types for my XBLIG game?

    - by Steve Dunn
    The XBLIG submission check-list says to ensure that all important stuff critical to game-play be visible in the 'TitleSafeArea'. I've received a bug report during play-test of my game (Crazy Balloon Lite) that says parts of my scrolling 2D map are only half visible (i.e. chopped at the left of the screen). I've tested my game myself on a 47" TV and also a 19" VGA monitor, both of which look fine. The bug report says the issue occurs on a standard 20" TV. My question is: without buying different sizes of TVs, is there a way to test what my game will look like on different sized displays?

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  • Calculating collision force with AfterCollision/NormalImpulse is unreliable when IgnoreCCD = false?

    - by Michael
    I'm using Farseer Physics Engine 3.3.1 in a very simple XNA 4 test game. (Note: I'm also tagging this Box2D, because Farseer is a direct port of Box2D and I will happily accept Box2D answers that solve this problem.) In this game, I'm creating two bodies. The first body is created using BodyFactory.CreateCircle and BodyType.Dynamic. This body can be moved around using the keyboard (which sets Body.LinearVelocity). The second body is created using BodyFactory.CreateRectangle and BodyType.Static. This body is static and never moves. Then I'm using this code to calculate the force of collision when the two bodies collide: staticBody.FixtureList[0].AfterCollision += new AfterCollisionEventHandler(AfterCollision); protected void AfterCollision(Fixture fixtureA, Fixture fixtureB, Contact contact) { float maxImpulse = 0f; for (int i = 0; i < contact.Manifold.PointCount; i++) maxImpulse = Math.Max(maxImpulse, contact.Manifold.Points[i].NormalImpulse); // maxImpulse should contain the force of the collision } This code works great if both of these bodies are set to IgnoreCCD=true. I can calculate the force of collision between them 100% reliably. Perfect. But here's the problem: If I set the bodies to IgnoreCCD=false, that code becomes wildly unpredictable. AfterCollision is called reliably, but for some reason the NormalImpulse is 0 about 75% of the time, so only about one in four collisions is registered. Worse still, the NormalImpulse seems to be zero for completely random reasons. The dynamic body can collide with the static body 10 times in a row in virtually exactly the same way, and only 2 or 3 of the hits will register with a NormalImpulse greater than zero. Setting IgnoreCCD=true on both bodies instantly solves the problem, but then I lose continuous physics detection. Why is this happening and how can I fix it? Here's a link to a simple XNA 4 solution that demonstrates this problem in action: http://www.mediafire.com/?a1w242q9sna54j4

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  • Android threads trouble wrapping my head around design

    - by semajhan
    I am having trouble wrapping my head around game design. On the android platform, I have an activity and set its content view with a custom surface view. The custom surface view acts as my panel and I create instances of all classes and do all the drawing and calculation in there. Question: Should I instead create the instances of other classes in my activity? Now I create a custom thread class that handles the game loop. Question: How do I use this one class in all my activities? Or do I have to create a separate thread each time? In my previous game, I had multiple levels that had to create an instance of the thread class and in the thread class I had to set constructor methods for each separate level and in the loop use a switch statement to check which level it needs to render and update. Sorry if that sounds confusing. I just want to know if the method I am using is inefficient (which it probably is) and how to go about designing it the correct way. I have read many tutorials out there and I am still having lots of trouble with this particular topic. Maybe a link to a some tutorials that explain this? Thanks.

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  • Tweaking AStar to find closest location to unreachable destination

    - by Shivan Dragon
    I've implemented AStar in Java and it works ok for an area with obstacles where the chosen destination is reachable. However, when the destination is unreachable, the calculated "path" is in no way to the closest location (to the unreachable location) but is instead some random path. Is there a feasible way to tweak AStar into finding the path to the closest location to an unreachable destination?

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  • Effects to make a speeding spaceship look faster

    - by Badescu Alexandru
    I have a spaceship and I've created a "boost" functionality that speeds up my spaceship, what effects should I implement to create the impression of high speed? I was thinking of making everything except my spaceship blurry but I think there would be something missing. Any ideas? Btw. I am working in XNA C# but if you aren't familiar to XNA describing some effects is still useful. The Game is 3d and i've attached some printscreens of the game This is in normal mode ( none boosted ) and here is the boosted mode ( the craft speeds up forward while the camera speeds in its normal speed , the non boosted speed )

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  • How to create Executable Jar

    - by Siddharth
    When I try to create a jar file i found the following error, so please someone help me to out of this. Exception in thread "LWJGL Application" com.badlogic.gdx.utils.GdxRuntimeException: Couldn't load file: img/black_ring.png at com.badlogic.gdx.graphics.Pixmap.(Pixmap.java:137) at com.badlogic.gdx.graphics.glutils.FileTextureData.prepare(FileTextureData.java:55) at com.badlogic.gdx.graphics.Texture.load(Texture.java:175) at com.badlogic.gdx.graphics.Texture.create(Texture.java:159) at com.badlogic.gdx.graphics.Texture.(Texture.java:133) at com.badlogic.gdx.graphics.Texture.(Texture.java:122) at com.badlogic.runningball.UserBall.(UserBall.java:19) at com.badlogic.runningball.GameScreen.(GameScreen.java:25) at com.badlogic.runningball.RunningBall.create(RunningBall.java:12) at com.badlogic.gdx.backends.lwjgl.LwjglApplication.mainLoop(LwjglApplication.java:126) at com.badlogic.gdx.backends.lwjgl.LwjglApplication$1.run(LwjglApplication.java:113) Caused by: com.badlogic.gdx.utils.GdxRuntimeException: File not found: img/black_ring.png (Internal) at com.badlogic.gdx.files.FileHandle.read(FileHandle.java:108) at com.badlogic.gdx.files.FileHandle.length(FileHandle.java:364) at com.badlogic.gdx.files.FileHandle.readBytes(FileHandle.java:156) at com.badlogic.gdx.graphics.Pixmap.(Pixmap.java:134) ... 10 more

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  • How to show a minimap in a 3d world

    - by Bubblewrap
    Got a really typical use-case here. I have large map made up of hexagons and at any given time only a small section of the map is visible. To provide an overview of the complete map, i want to show a small 2d representation of the map in a corner of the screen. What is the recommended approach for this in libgdx? Keep in mind the minimap must be updated when the currently visible section changes and when the map is updated. I've found SpriteBatch, but the warning label on it made me think twice: A SpriteBatch is a pretty heavy object so you should only ever have one in your program. I'm not sure i'm supposed to use the one SpriteBatch that i can have on the minimap, and i'm also not sure how to interpret "heavy" in this context. Another thing to possibly keep in mind is that the minimap will probably be part of a larger UI...is there any way to integrate these two?

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  • How was collision detection handled in The Legend of Zelda: A Link to the Past?

    - by Restart
    I would like to know how the collision detection was done in The Legend of Zelda: A Link To The Past. The game is 16x16 tile based, so how did they do the tiles where only a quarter or half of the tile is occupied? Did they use a smaller grid for collision detection like 8x8 tiles, so four of them make one 16x16 tile of the texture grid? But then, they also have true half tiles which are diagonally cut and the corners of the tiles seem to be round or something. If Link walks into tiles corner he can keep on walking and automatically moves around it's corner. How is that done? I hope someone can help me out here.

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  • Long delays in Unity3D substance generation

    - by Josh Buhler
    Currently working on an iOS/Android project in Unity3d, and we're seeing some incredibly long times for generating substances between testing runs. We can run the game, but once we shut down the playback, Unity begins to re-import all off the substances built using Substance Designer. As we've got a lot of these in our game, it's starting to lead to 5 minute delays between testing runs just to test a small change. Any suggestions or parameters we should check that could possibly prevent Unity from needing to regenerate these substances every time? Shouldn't it be caching these things somewhere?

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  • Game editor integration with the engine?

    - by Daniel
    What I am trying to figure out is what is the best way to integrate the editor(level, effects, model, etc...) in the most effective way? Now the first thing I thought would be to create the game engine(*) extremely modular. For example I took the example of game states. You could have multiple game states that all have their own update() and draw() methods among others. Each game state class would inherit from a base GameState class. This allows for a more modular approach and a useful one at that. Now would the most efficient approach be to implement the editor along with the modular engine, or create two different designs for both the game, and editor? I thought to take the game state example and extend it to window states, and well could be used for a lot more systems. Is there a better implementation of this design(game state) for use in other systems used in the engine? *: Now I know the term game engine is sorta irrelevant, and misused in many situations. What I am referring to as the "game engine" is the combination of the systems that the game must interact with for short. Also this is more of a theory / design question than an implementation. Even though both mix, i'd rather like to have a more general idea on how the editor is built in an efficient way and still using the same engine code as what the game uses. Thanks, Daniel P.S If you need more clarification or extra bits just leave a comment.

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  • Need ideas for an algorithm to draw irregular blotchy shapes

    - by Yttermayn
    I'm looking to draw irregular shapes on an x,y grid, and I'd like to come up with a simple, fast method if possible. My only idea so far is to draw a bunch of circles of random sizes very near each other, but at a random distance apart from a more or less central coordinate, then fill in any blank spaces. I realize this is a clunky, inelegant method, hopefully it will give you a rough idea of the kinds of rounded, random blotchy shapesI'm shooting for. Please suggest methods to accomplish this, I'm not so much interested in code. I can noodle that part out myself. Thanks!

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  • How do I draw a point sprite using OpenGL ES on Android?

    - by nbolton
    Edit: I'm using the GL enum, which is incorrect since it's not part of OpenGL ES (see my answer). I should have used GL10, GL11 or GL20 instead. Here's a few snippets of what I have so far... void create() { renderer = new ImmediateModeRenderer(); tiles = Gdx.graphics.newTexture( Gdx.files.getFileHandle("res/tiles2.png", FileType.Internal), TextureFilter.MipMap, TextureFilter.Linear, TextureWrap.ClampToEdge, TextureWrap.ClampToEdge); } void render() { Gdx.gl.glClear(GL10.GL_COLOR_BUFFER_BIT | GL10.GL_DEPTH_BUFFER_BIT); Gdx.gl.glClearColor(0.6f, 0.7f, 0.9f, 1); } void renderSprite() { int handle = tiles.getTextureObjectHandle(); Gdx.gl.glBindTexture(GL.GL_TEXTURE_2D, handle); Gdx.gl.glEnable(GL.GL_POINT_SPRITE); Gdx.gl11.glTexEnvi(GL.GL_POINT_SPRITE, GL.GL_COORD_REPLACE, GL.GL_TRUE); renderer.begin(GL.GL_POINTS); renderer.vertex(pos.x, pos.y, pos.z); renderer.end(); } create() is called once when the program starts, and renderSprites() is called for each sprite (so, pos is unique to each sprite) where the sprites are arranged in a sort-of 3D cube. Unfortunately though, this just renders a few white dots... I suppose that the texture isn't being bound which is why I'm getting white dots. Also, when I draw my sprites on anything other than 0 z-axis, they do not appear -- I read that I need to crease my zfar and znear, but I have no idea how to do this using libgdx (perhaps it's because I'm using ortho projection? What do I use instead?). I know that the texture is usable, since I was able to render it using a SpriteBatch, but I guess I'm not using it properly with OpenGL.

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  • Cocos2d and Body with few collision shapes using chipmunk

    - by Eimantas
    I'm using Cocos2d (0.99.5) with chipmunk physics engine. Currently I'm trying to place a body into space which is combined from few circle shapes. Let's say I have a corresponding sprite image with displays atom (nucleus + 3 electrons around it. Something like this without orbit lines). In it's simplest form - only one circle shape at the center should be enough which would detect collisions from other objects with nucleus. Now I'd like to add other circle shapes for each electron. How can I do that? Now when I add those shapes to the body and add the body into chipmunk space - the shapes (together with the body/sprite) start flickering and spinning with no recognizable pattern (or reason for that matter).

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  • Game Resource Generation

    - by Darthg8r
    I am currently building a game that has a "City" entity. These cities generate and consume resources such as food variably over a period of time. I need to be able query the server often to find exactly how much food the city at any given point. These queries can take place multiple times per minute. There could also be 400,000 cities to track at a given time. How would you handle tracking these resources? Would you do it in real time, keeping an instance of the city in memory on the server, with some sort of a snapshot in time of the resources, then computing the growth/consumption from that snapshot time for subsequent queries? Would you work exclusively with a database, using a similar "snapshoting" scheme? Maybe a mixture of the 2, caching recently queried cities in memory for a period of time? There is also a lot of other data that each city needs to track. A player can queue units to build in a barrack. The armies available in the city will need to be updated as units complete. I'm interested in everyone's input on where/when/how you'd manage the real time data.

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  • Solving 2D Collision Detection Issues with Relative Velocities

    - by Jengerer
    Imagine you have a situation where two objects are moving parallel to one-another and are both within range to collide with a static wall, like this: A common method used in dynamic collision detection is to loop through all objects in arbitrary order, solve for pair-wise collision detection using relative velocities, and then move the object to the nearest collision, if any. However, in this case, if the red object is checked first against the blue one, it would see that the relative velocity to the blue object is -20 m/s (and would thereby not collide this time frame). Then it would see that the red object would collide with the static wall, and the solution would be: And the red object passes through the blue one. So it appears to be a matter of choosing the right order in which you check collisions; but how can you determine which order is correct? How can this passing through of objects be avoided? Is ignoring relative velocity and considering every object as static during pair-wise checks a better idea for this reason?

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  • Coordinate based travel through multi-line path over elapsed time

    - by Chris
    I have implemented A* Path finding to decide the course of a sprite through multiple waypoints. I have done this for point A to point B locations but am having trouble with multiple waypoints, because on slower devices when the FPS slows and the sprite travels PAST a waypoint I am lost as to the math to switch directions at the proper place. EDIT: To clarify my path finding code is separate in a game thread, this onUpdate method lives in a sprite like class which happens in the UI thread for sprite updating. To be even more clear the path is only updated when objects block the map, at any given point the current path could change but that should not affect the design of the algorithm if I am not mistaken. I do believe all components involved are well designed and accurate, aside from this piece :- ) Here is the scenario: public void onUpdate(float pSecondsElapsed) { // this could be 4x speed, so on slow devices the travel moved between // frames could be very large. What happens with my original algorithm // is it will start actually doing circles around the next waypoint.. pSecondsElapsed *= SomeSpeedModificationValue; final int spriteCurrentX = this.getX(); final int spriteCurrentY = this.getY(); // getCoords contains a large array of the coordinates to each waypoint. // A waypoint is a destination on the map, defined by tile column/row. The // path finder converts these waypoints to X,Y coords. // // I.E: // Given a set of waypoints of 0,0 to 12,23 to 23, 0 on a 23x23 tile map, each tile // being 32x32 pixels. This would translate in the path finder to this: // -> 0,0 to 12,23 // Coord : x=16 y=16 // Coord : x=16 y=48 // Coord : x=16 y=80 // ... // Coord : x=336 y=688 // Coord : x=336 y=720 // Coord : x=368 y=720 // // -> 12,23 to 23,0 -NOTE This direction change gives me trouble specifically // Coord : x=400 y=752 // Coord : x=400 y=720 // Coord : x=400 y=688 // ... // Coord : x=688 y=16 // Coord : x=688 y=0 // Coord : x=720 y=0 // // The current update index, the index specifies the coordinate that you see above // I.E. final int[] coords = getCoords( 2 ); -> x=16 y=80 final int[] coords = getCoords( ... ); // now I have the coords, how do I detect where to set the position? The tricky part // for me is when a direction changes, how do I calculate based on the elapsed time // how far to go up the new direction... I just can't wrap my head around this. this.setPosition(newX, newY); }

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  • Tool for creating complex paths?

    - by TerryB
    I want to create some fairly complex predefined paths for my AI sprites to follow. I'll need to use curves, splines etc to get the effect I want. Is there a drawing tool out there that will allow me to draw such curves, "mesh" them by placing lots of points along them at some defined density and then output the coordinates of all of those points for me? I could write this tool myself but hopefully one of the drawing packages can do this? Cheers!

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  • Colorize with a given color a texture

    - by Pacha
    I have a texture and I want to "colorize" it with a given color, lets say cyan (#00ffff) or purple (#800080). What I want to do, is get all the pixel values from the texture, and remove the color and keep the "brightness" and "saturation" and apply to the desired color. There is a tool in GIMP to do this called Colorize (Colors -> Colorize.. while editing), I made an example below. This is will all be done in a shader (GLSL), although this is probably a general algorithm.

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  • C# creating a simple snake game

    - by Guy David
    I was thinking about creating a snake game with C#, so I ran ideas in my head, and some problems came up. How can I track and output in the correct location the blocks that run after the snake's head? If the snake is built of five blocks, and the user starts going in a circle, how can I print the snake body in the right location? Also, how can I create an action that will run on the background, which will move the snake forward, no matter what the user does? What structure should my code have? (code design structure) This should be a console application, since it's the only framework I am familiar with. I am not looking for finished code, since I want to really understand how it should work.

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  • Problems with 3D Array for Voxel Data

    - by Sean M.
    I'm trying to implement a voxel engine in C++ using OpenGL, and I've been working on the rendering of the world. In order to render, I have a 3D array of uint16's that hold that id of the block at the point. I also have a 3D array of uint8's that I am using to store the visibility data for that point, where each bit represents if a face is visible. I have it so the blocks render and all of the proper faces are hidden if needed, but all of the blocks are offset by a power of 2 from where they are stored in the array. So the block at [0][0][0] is rendered at (0, 0, 0), and the block at 11 is rendered at (1, 1, 1), but the block at [2][2][2] is rendered at (4, 4, 4) and the block at [3][3][3] is rendered at (8, 8, 8), and so on and so forth. This is the result of drawing the above situation: I'm still a little new to the more advanced concepts of C++, like triple pointers, which I'm using for the 3D array, so I think the error is somewhere in there. This is the code for creating the arrays: uint16*** _blockData; //Contains a 3D array of uint16s that are the ids of the blocks in the region uint8*** _visibilityData; //Contains a 3D array of bytes that hold the visibility data for the faces //Allocate memory for the world data _blockData = new uint16**[REGION_DIM]; for (int i = 0; i < REGION_DIM; i++) { _blockData[i] = new uint16*[REGION_DIM]; for (int j = 0; j < REGION_DIM; j++) _blockData[i][j] = new uint16[REGION_DIM]; } //Allocate memory for the visibility _visibilityData = new uint8**[REGION_DIM]; for (int i = 0; i < REGION_DIM; i++) { _visibilityData[i] = new uint8*[REGION_DIM]; for (int j = 0; j < REGION_DIM; j++) _visibilityData[i][j] = new uint8[REGION_DIM]; } Here is the code used to create the block mesh for the region: //Check if the positive x face is visible, this happens for every face //Block::VERT_X_POS is just an array of non-transformed cube verts for one face //These checks are in a triple loop, which goes over every place in the array if (_visibilityData[x][y][z] & 0x01 > 0) { _vertexData->AddData(&(translateVertices(Block::VERT_X_POS, x, y, z)[0]), sizeof(Block::VERT_X_POS)); } //This is a seperate method, not in the loop glm::vec3* translateVertices(const glm::vec3 data[], uint16 x, uint16 y, uint16 z) { glm::vec3* copy = new glm::vec3[6]; memcpy(&copy, &data, sizeof(data)); for(int i = 0; i < 6; i++) copy[i] += glm::vec3(x, -y, z); //Make +y go down instead return copy; } I cannot see where the blocks may be getting offset by more than they should be, and certainly not why the offsets are a power of 2. Any help is greatly appreciated. Thanks.

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  • Server-side Architecture for Online Game

    - by Draiken
    Hi, basically I have a game client that has communicate with a server for almost every action it takes, the game is in Java (using LWJGL) and right now I will start making the server. The base of the game is normally one client communicating with the server alone, but I will require later on for several clients to work together for some functionalities. I've already read how authentication server should be sepparated and I intend on doing it. The problem is I am completely inexperienced in this kind of server-side programming, all I've ever programmed were JSF web applications. I imagine I'll do socket connections for pretty much every game communication since HTML is very slow, but I still don't really know where to start on my server. I would appreciate reading material or guidelines on where to start, what architecture should the game server have and maybe some suggestions on frameworks that could help me getting the client-server communication. I've looked into JNAG but I have no experience with this kind of thing, so I can't really tell if it is a solid and good messaging layer. Any help is appreciated... Thanks !

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  • XNA - Moving Background Calculations

    - by Jesse Emond
    Hi, My question is relatively hard to explain(for me, at least), so I'll go one step at a time and just tell me in the comments if it's not clear enough. So I'm making a "Defend Your Castle" type 2D game, where two players own a castle and create units that will move horizontally to try to destroy the opponent's base. Here's a screenshot of the game: The distance between both castles is much bigger in a real game though, bigger than the screen's width actually. Because the distance is bigger than the screen's width, I had to implement a simple 2D camera: Camera2D, which only holds a Location Vector2 (and I always make sure this camera is within the field area). Then, I just move all the game elements(castles, units, health bars) by that location, so that if a unit is at (5, 0), and the camera's location is (5, 0), then the unit's position will be moved by 5 units to the left, making it (0, 0) on the screen. At first, I simply used a static background with mountains and clouds(yeah, those are supposed to be mountains and clouds). Obviously, this looked awful: when you moved the camera, the background would stay immobile. Instead, I'd like to make a moving background, kind of a "scrolling" one. But rather than making a background with the same width as the distance between the castles, I'd like to make one that is a little bit smaller(but still bigger than the screen's width). I thought this would create an effect of "distance" with the background(but it might just look awful, too). Here's the background I'm testing with: I tried different ways, but none of them seems to work. I tried this: float backgroundFieldRatio = BackgroundTexture.Width / fieldWidth;//find the ratio between the background and the field. float backgroundPositionX = -cam.Location.X * backgroundFieldRatio;//move the background to the left When I run this with fieldWith = 1600, BackgroundTexture.Width = 1500 and while looking at the rightmost area, the background is offset to the left by a too big amount, and we can see the black clear color in the back, as you can see here: I hope I explained properly what I'm trying to achieve. Thank you for your time. Note: I didn't know what to look for on Google, so I thought I'd ask here.

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  • SAT and then what?

    - by Marek
    I am on my way to make another Arkanoid game but this time I decided that I want it a little bit more realistic than just checking intersections between AABB and inverting one vector's component on collision. So I found SAT but I don't know how can I change direction of the ball in realistic matter. Maybe I'm wrong but it seems like knowing MTV doesn't give me much. So my question is what algorithms should I use to make it realistic? I also care about possibility of spinning ball with a pallet. I don't know how to do it exactly but I guess I will need to consider acceleration of the pallet.

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  • Detecting Units on a Grid

    - by hammythepig
    I am making a little turn based strategy game in pygame, that uses a grid system as the main map to hold all the characters and the map layout. (Similar to Fire Emblem, or Advance Wars) I am trying to determine a way to quickly and efficiently (i.e. without too much of a slow down) check if there are any characters within a given range of the currently selected character. So to illustrate: O = currently selected character X = squares within range Range of 1: X X O X X Range of 2: X X X X X X O X X X X X X Range of 3: X X X X X X X X X X X X O X X X X X X X X X X X X Now I have to tell the user who is in range, and I have to let the user choose who to attack if there are multiple enemies in range. If I have a 5x5 grid, filled with " " for empty and numbers for the characters: [ ][ ][ ][ ][4] [ ][1][ ][ ][ ] [ ][ ][ ][ ][ ] [ ][ ][2][3][ ] [ ][ ][ ][ ][ ] Depending on which character the user selects, I would like to show the user which other characters are in range. So if they all had a range of 3: 1 can hit 2 2 can hit 1 or 3 3 can hit 2 4 cannot hit anyone. So, How do I quickly and/or efficiently run though my grid and tell the user where the enemies are? PS- As a bonus, if someone could give an answer that could also work for a minimum distance type range, I would give them a pat on the back and a high five, should they ever travel to Canada and we ever meet in life. For example: Range of 3 to 5: (- is out of range) X X X X X X X X X X X X - X X X X X X - - - X X X X X X - - O - - X X X X X X - - - X X X X X X - X X X X X X X X X X X X

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