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  • TGA loader: reverse height

    - by aVoX
    I wrote a TGA image loader in Java which is working perfectly for files created with GIMP as long as they are saved with the option "origin" set to "Top Left" (Note: Actually TGA files are meant to be stored upside down - "Bottom Left" in GIMP). My problem is that I want my image loader to be capable of reading all different kinds of TGAs, so my question is, how do I flip the image upside down? Note that I store all image data inside a one-dimensional byte array, because OpenGL (glTexImage2D to be specific) requires it that way. Thanks in advance.

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  • RTS style fog of war woes

    - by Fricken Hamster
    So I'm trying to make a rts style line of sight fog of war style engine for my grid based game. Currently I am getting a set of vertices by raycasting in 360 degree. Then I use that list of vertices to do a graphics style polygon scanline fill to get a list of all points within the polygon. The I compare the new list of seen tiles and compare that with the old one and increment or decrement the world vision array as needed. The polygon scanline function is giving me trouble. I'm mostly following this http://www.cs.uic.edu/~jbell/CourseNotes/ComputerGraphics/PolygonFilling.html So far this is my code without cleaning anything up var edgeMinX:Vector.<int> = new Vector.<int>; var edgeMinY:Vector.<int> = new Vector.<int>; var edgeMaxY:Vector.<int> = new Vector.<int>; var edgeInvSlope:Vector.<Number> = new Vector.<Number>; var ilen:int = outvert.length; var miny:int = -1; var maxy:int = -1; for (i = 0; i < ilen; i++) { var curpoint:Point = outvert[i]; if (i == ilen -1) { var nextpoint:Point = outvert[0]; } else { nextpoint = outvert[i + 1]; } if (nextpoint.y == curpoint.y) { continue; } if (curpoint.y < nextpoint.y) { var curslope:Number = ((nextpoint.y - curpoint.y) / (nextpoint.x - curpoint.x)); edgeMinY.push(curpoint.y); edgeMinX.push(curpoint.x); edgeMaxY.push(nextpoint.y); edgeInvSlope.push(1 / curslope); if (curpoint.y < miny || miny == -1) { miny = curpoint.y; } if (nextpoint.y > maxy) { maxy = nextpoint.y; } } else { curslope = ((curpoint.y - nextpoint.y) / (curpoint.x - nextpoint.x)); edgeMinY.push(nextpoint.y); edgeMinX.push(nextpoint.x); edgeMaxY.push(curpoint.y); edgeInvSlope.push(1 / curslope); if (nextpoint.y < miny || miny == -1) { miny = curpoint.y; } if (curpoint.y > maxy) { maxy = nextpoint.y; } } } var activeMaxY:Vector.<int> = new Vector.<int>; var activeCurX:Vector.<Number> = new Vector.<Number>; var activeInvSlope:Vector.<Number> = new Vector.<Number>; for (var scanline:int = miny; scanline < maxy + 1; scanline++) { ilen = edgeMinY.length; for (i = 0; i < ilen; i++) { if (edgeMinY[i] == scanline) { activeMaxY.push(edgeMaxY[i]); activeCurX.push(edgeMinX[i]); activeInvSlope.push(edgeInvSlope[i]); //trace("added(" + edgeMinX[i]); edgeMaxY.splice(i, 1); edgeMinX.splice(i, 1); edgeMinY.splice(i, 1); edgeInvSlope.splice(i, 1); i--; ilen--; } } ilen = activeCurX.length; for (i = 0; i < ilen - 1; i++) { for (var j:int = i; j < ilen - 1; j++) { if (activeCurX[j] > activeCurX[j + 1]) { var tempint:int = activeMaxY[j]; activeMaxY[j] = activeMaxY[j + 1]; activeMaxY[j + 1] = tempint; var tempnum:Number = activeCurX[j]; activeCurX[j] = activeCurX[j + 1]; activeCurX[j + 1] = tempnum; tempnum = activeInvSlope[j]; activeInvSlope[j] = activeInvSlope[j + 1]; activeInvSlope[j + 1] = tempnum; } } } var prevx:int = -1; var jlen:int = activeCurX.length; for (j = 0; j < jlen; j++) { if (prevx == -1) { prevx = activeCurX[j]; } else { for (var k:int = prevx; k < activeCurX[j]; k++) { graphics.lineStyle(2, 0x124132); graphics.drawCircle(k * 20 + 10, scanline * 20 + 10, 5); if (k == prevx || k > activeCurX[j] - 1) { graphics.lineStyle(3, 0x004132); graphics.drawCircle(k * 20 + 10, scanline * 20 + 10, 2); } prevx = -1; //tileLightList.push(k, scanline); } } } ilen = activeCurX.length; for (i = 0; i < ilen; i++) { if (activeMaxY[i] == scanline + 1) { activeCurX.splice(i, 1); activeMaxY.splice(i, 1); activeInvSlope.splice(i, 1); i--; ilen--; } else { activeCurX[i] += activeInvSlope[i]; } } } It works in some cases but some of the x intersections are skipped, primarily when there are more than 2 x intersections in one scanline I think. Is there a way to fix this, or a better way to do what I described? Thanks

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  • Find angle for projectile to meet target in parabolic arc

    - by TheBroodian
    I'm making a thing that launches projectiles in 2D. Its projectiles are fired with a set initial velocity, and are only affected by gravity. Assuming that its target is within range, and that there aren't any obstacles, how would my thing find the appropriate angle at which to launch its projectile (in radians)? The equation for this is found here: Wikipedia: Angle Required to Hit Coordinate Sadly, I'm not a physicist (a.k.a. can't read smart people math) and am having a hard time reading its breakdown. If not only for the sake of anybody else that might read this other than myself, would anybody be kind enough to break the equation down into baby words please?

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  • How to use music in a simple game?

    - by Aerovistae
    It's like this: I've got this very simple game in mind, and I happen to be lucky enough to know this guy at my college who is the best musician I've ever met in person who wasn't already on a stage. He writes these beautiful songs on piano, just meandering and mysterious. They'd add so much as background music. But here's my dilemma: say I record a 5 minute long song from him. How do I use it? Do I set it playing, and then make it start over as soon as it ends? Do I leave a 5 minute period of silence and then start it over again? Or do I find other music and just have continuous music playing? What do other people usually do for this sort of thing?

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  • Which isometric angles can be mirrored (and otherwise transformed) for optimization?

    - by Tom
    I am working on a basic isometric game, and am struggling to find the correct mirrors. Mirror can be any form of transform. I have managed to get SE out of SW, by scaling the sprite on X axis by -1. Same applies for NE angle. Something is bugging me, that I should be able to also mirror N to S, but I cannot manage to pull this one off. Am I just too sleepy and trying to do the impossible, or a basic -1 scale on Y axis is not enough? What are the common used mirror table for optimizing 8 angle (N, NE, E, SE, S, SW, W, NW) isometric sprites?

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  • A way to store potentially infinite 2D map data?

    - by Blam
    I have a 2D platformer that currently can handle chunks with 100 by 100 tiles, with the chunk coordinates are stored as longs, so this is the only limit of maps (maxlong*maxlong). All entity positions etc etc are chunk relevant and so there is no limit there. The problem I'm having is how to store and access these chunks without having thousands of files. Any ideas for a preferably quick & low HD cost archive format that doesn't need to open everything at once?

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  • OpenGL Lighting

    - by gopgop
    I have a simple day and night cycle by at day disabling OpenGL lighting and at night enabling openGL Lighting. When I enable everything appears darker. My question is How would I make it that at a specific spot there would be a light that will only light up its surrounding area for example: http://media.giantbomb.com/uploads/0/276/1414275-light_large.png Where the light is is where I want to position my light. My application is in 2D.

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  • How to ignore collision between two objects

    - by eren_trigger
    I have a player that shoots in the direction that it is facing. However, the shot that is created when I click, also destroys the player. How would I make the shot ignore collision with the player? Or better yet, how to make a shot destroy anything it touches and destroy itself without affecting the player? This is the code that controls collisions: function OnTriggerEnter (col : Collider) { Destroy(col.gameObject); } The shot is a trigger, but the player isn't. Not sure if this changes anything in this case. Thanks in advance. EDIT: http://gfycat.com/TediousAridFeline

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  • Managing many draw calls for dynamic objects

    - by codetiger
    We are developing a game (cross-platform) using Irrlicht. The game has many (around 200 - 500) dynamic objects flying around during the game. Most of these objects are static mesh and build from 20 - 50 unique Meshes. We created seperate scenenodes for each object and referring its mesh instance. But the output was very much unexpected. Menu screen: (150 tris - Just to show you the full speed rendering performance of 2 test computers) a) NVidia Quadro FX 3800 with 1GB: 1600 FPS DirectX and 2600 FPS on OpenGL b) Mac Mini with Geforce 9400M 256mb: 260 FPS in OpenGL Now inside the game in a test level: (160 dynamic objects counting around 10K tris): a) NVidia Quadro FX 3800 with 1GB: 45 FPS DirectX and 50 FPS on OpenGL b) Mac Mini with Geforce 9400M 256mb: 45 FPS in OpenGL Obviously we don't have the option of mesh batch rendering as most of the objects are dynamic. And the one big static terrain is already in single mesh buffer. To add more information, we use one 2048 png for texture for most of the dynamic objects. And our collision detection hardly and other calculations hardly make any impact on FPS. So we understood its the draw calls we make that eats up all FPS. Is there a way we can optimize the rendering, or are we missing something?

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  • How can I load .obj files in the Soya3D engine?

    - by John Riselvato
    I recently just found soya3d. I want to import .obj files, but it seems to only accept .data files. How can I import .obj files? Importing a .obj file named "house" produces this error: Traceback (most recent call last): File "introduction.py", line 7, in <module> model = soya.Model.get("house") File "/usr/lib/pymodules/python2.6/soya/__init__.py", line 259, in get return klass._alls.get(filename) or klass._alls.setdefault(filename, klass.load(filename)) File "/usr/lib/pymodules/python2.6/soya/__init__.py", line 268, in load dirname = klass._get_directory_for_loading_and_check_export(filename) File "/usr/lib/pymodules/python2.6/soya/__init__.py", line 194, in _get_directory_for_loading_and_check_export dirname = klass._get_directory_for_loading(filename, ext) File "/usr/lib/pymodules/python2.6/soya/__init__.py", line 171, in _get_directory_for_loading raise ValueError("Cannot find a %s named %s!" % (klass, filename)) ValueError: Cannot find a <class 'soya.Model'> named house! * Soya3D * Quit...

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  • Fixing a collision detection bug in Slick2D

    - by Jesse Prescott
    My game has a bug with collision detection. If you go against the wall and tap forward/back sometimes the game thinks the speed you travelled at is 0 and the game doesn't know how to get you out of the wall. My collision detection works by getting the speed you hit the wall at and if it is positive it moves you back, if it is negative it moves you forward. It might help if you download it: https://rapidshare.com/files/1550046269/game.zip Sorry if I explained badly, it's hard to explain. float maxSpeed = 0.3f; float minSpeed = -0.2f; float acceleration = 0.002f; float deacceleration = 0.001f; float slowdownSpeed = 0.002f; float rotateSpeed = 0.08f; static float currentSpeed = 0; boolean up = false; boolean down = false; boolean noKey = false; static float rotate = 0; //Image effect system static String locationCarNormal; static String locationCarFront; static String locationCarBack; static String locationCarBoth; static boolean carFront = false; static boolean carBack = false; static String imageRef; boolean collision = false; public ComponentPlayerMovement(String id, String ScarNormal, String ScarFront, String ScarBack, String ScarBoth) { this.id = id; playerBody = new Rectangle(900/2-16, 700/2-16, 32, 32); locationCarNormal = ScarNormal; locationCarFront = ScarFront; locationCarBack = ScarBack; locationCarBoth = ScarBoth; imageRef = locationCarNormal; } @Override public void update(GameContainer gc, StateBasedGame sbg, int delta) throws SlickException { Input input = gc.getInput(); playerBody.transform(Transform.createRotateTransform(2)); float hip = currentSpeed * delta; float unstuckspeed = 0.05f * delta; if(carBack && !carFront) { imageRef = locationCarBack; ComponentImageRender.updateImage(); } else if(carFront && !carBack) { imageRef = locationCarFront; ComponentImageRender.updateImage(); } else if(carFront && carBack) { imageRef = locationCarBoth; ComponentImageRender.updateImage(); } if(input.isKeyDown(Input.KEY_RIGHT)) { rotate += rotateSpeed * delta; owner.setRotation(rotate); } if(input.isKeyDown(Input.KEY_LEFT)) { rotate -= rotateSpeed * delta; owner.setRotation(rotate); } if(input.isKeyDown(Input.KEY_UP)) { if(!collision) { up = true; noKey = false; if(currentSpeed < maxSpeed) { currentSpeed += acceleration; } MapCoordStorage.mapX += hip * Math.sin(Math.toRadians(rotate)); MapCoordStorage.mapY -= hip * Math.cos(Math.toRadians(rotate)); } else { currentSpeed = 1; } } else if(input.isKeyDown(Input.KEY_DOWN) && !collision) { down = true; noKey = false; if(currentSpeed > minSpeed) { currentSpeed -= slowdownSpeed; } MapCoordStorage.mapX += hip * Math.sin(Math.toRadians(rotate)); MapCoordStorage.mapY -= hip * Math.cos(Math.toRadians(rotate)); } else { noKey = true; if(currentSpeed > 0) { currentSpeed -= deacceleration; } else if(currentSpeed < 0) { currentSpeed += acceleration; } MapCoordStorage.mapX += hip * Math.sin(Math.toRadians(rotate)); MapCoordStorage.mapY -= hip * Math.cos(Math.toRadians(rotate)); } if(entityCollisionWith()) { collision = true; if(currentSpeed > 0 || up) { up = true; currentSpeed = 0; carFront = true; MapCoordStorage.mapX += unstuckspeed * Math.sin(Math.toRadians(rotate-180)); MapCoordStorage.mapY -= unstuckspeed * Math.cos(Math.toRadians(rotate-180)); } else if(currentSpeed < 0 || down) { down = true; currentSpeed = 0; carBack = true; MapCoordStorage.mapX += unstuckspeed * Math.sin(Math.toRadians(rotate)); MapCoordStorage.mapY -= unstuckspeed * Math.cos(Math.toRadians(rotate)); } else { currentSpeed = 0; } } else { collision = false; up = false; down = false; } if(currentSpeed >= -0.01f && currentSpeed <= 0.01f && noKey && !collision) { currentSpeed = 0; } } public static boolean entityCollisionWith() throws SlickException { for (int i = 0; i < BlockMap.entities.size(); i++) { Block entity1 = (Block) BlockMap.entities.get(i); if (playerBody.intersects(entity1.poly)) { return true; } } return false; } }

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  • Maya is lagging in a specific way...?

    - by Aerovistae
    My Maya installation worked perfectly. It is not my computer. Something caused it to stop working overnight, somehow. When I try to drag a vertex or something like that, it moves the vertex, but then I have to click like 3 times somewhere outside the mesh before the actual mesh will catch up and follow the vertex. Until I do that, it just stays as it was, with a floating vertex somewhere inside it or outside it. It makes modeling borderline impossible and completely infuriating. What ought to be happening is what we're all used to-- as I move the vertex, the mesh follows it actively, so I can see what it looks like at every given moment until I release the vertex in its new position. Other weird thing: this only applies to complex meshes, like a couple thousand faces. A simple cube works fine. What gives?? Anybody?

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  • Multiplication for MVP matrices: Any benefits to doing so within the vertex shader?

    - by Nick Wiggill
    I'd like to understand under what circumstances (if any) it is worth doing MVP matrix multiplication inside a vertex shader. The vertex shader is run once per vertex, and a single mesh typically contains many vertices. All MVP inputs remain the same for each vertex in the vertex batch relating to a given draw call (model). Surely then, you're always better off keeping the multiplications in the client code, such that you pass in the whole MVP precalculated as a uniform? (avoiding redundant ops between individual vertices)

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  • How to get xy coordinates along a given path

    - by netbrain
    Say i have two points (x,y), (0,0) and (10,10). Now i wan´t to get coordinates along the line by stepping through values of x and y. I thought i solved it with the following functions: fy = startY + (x - startX) * ((destY-startY)/(destX-startX)); fx = (y + startY) / ((destY-startY)/(destX-startX)) + startX; taken from http://en.wikipedia.org/wiki/Linear_interpolation However, it seems that im getting a problem when destX and startX is the same value, so you get division by zero. Is there a better way of getting coordinates along a line when knowing the start and endpoint of the line?

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  • LibGDX - SpriteBatch's .draw() method requiring float[]

    - by just_a_programmer
    Please excuse my lack of knowledge with LibGDX, as I have just started learning it. I am going through some simple tutorials, and in one of them, I draw a string onto the screen like so: // the following code is in the main file in the core project folder: // this is in the create() method: private SpriteBatch batch; batch = new SpriteBatch(); // this is in the render() method: batch.draw(batch, "Hello world", 200, 200); I am getting an error saying: The method draw(texture, float[], int, int) in the type SpriteBatch is not applicable for the arguments (SpriteBatch, int, int) So, LibGDX wants a float array to draw instead of a string? Thanks in advance.

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  • Tunnels in pseudo 3D racing game

    - by Nicholas
    How would one go about doing tunnels in a pseudo 3D racing game ? The main problem I have at the moment is perspective - I cant think of a way, beyond having to Z sort the sprites and tunnel coordinates, so that vehicles are displayed in front of the tunnel entrance and somehow block the display when out of site. I would like my tunnels to be used on both flat, curved and hills and slopes. The tunnel enterance/exit is made up of 3 separate graphics, (left, right and top), whilst inside the tunnel it is just one line graphic along the top (the idea being its supposed to be a set distance above the current vertical road position). As you can see from the picture, the vehicles are still being rendered whilst in the tunnel. I've converted the Code Incomplete road system to GLBasic.

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  • XNA Windows Phone 7 Sprite movement

    - by Darren Gaughan
    I'm working on a Windows phone game and I'm having difficulty with the sprite movement. What I want to do is make the sprite gradually move to the position that is touched on screen, when there is only one quick touch and release. At the minute all I can do is either make the sprite jump instantly to the touch location or move along to the touch location when the touch is held down. Code for jumping to touch location: TouchCollection touchCollection = TouchPanel.GetState(); foreach (TouchLocation tl in touchCollection) { if ((tl.State == TouchLocationState.Pressed) || (tl.State == TouchLocationState.Moved)) { Vector2 newPos = new Vector2(tl.Position.X,tl.Position.Y); if (position != newPos) { while (position.X < newPos.X) { position.X += (float)theGameTime.ElapsedGameTime.Milliseconds / 10.0f * spriteDirectionRight; } } } } Code to gradually move along while touch is held: TouchCollection touchCollection = TouchPanel.GetState(); foreach (TouchLocation tl in touchCollection) { if ((tl.State == TouchLocationState.Pressed) || (tl.State == TouchLocationState.Moved)) { Vector2 newPos = new Vector2(tl.Position.X,tl.Position.Y); if (position != newPos) { position.X += (float)theGameTime.ElapsedGameTime.Milliseconds / 10.0f * spriteDirectionRight; } } } These are in the Update() method of the Sprite class.

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  • How can I make a collection of mini-games in XNA where the user can download packs of minigames and the main .exe can run them without being altered?

    - by Pyroka
    I'm currently making a PC game in XNA. It's actually a collection of mini-games (there's 3 mini-games at the moment) however I plan to make and add more, in downloadable 'packs'. My question is, what's the best way to achieve this? Currently my thoughts are: Create a 'game' interface Build games to this interface but create them as .dlls Have the main .exe file scan a directory and load in the .dlls at runtime. I've not messed around with the idea much, but I know there are applications at-least that use this plug-in approach (Notepad++ seems to), but I'm not sure of any games that do (although I'm sure they must exist). However it seems that this is a problem that has been solved previously, so I'm wondering if there's any form of established best-practice.

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  • Why do consoles have so little memory compared to classic computers?

    - by jokoon
    I remember the Playstation having 2MB ram and 1MB graphic memory. The Playstation 3 now has only 256MB ram and 256MB graphic memory, and I'm sure that the day the console was released, even laptop's "standard" capacity was at least 1GB. So why do they put so little memory in their machines, while developers would benefit a lot by having more ? Or is the memory that much faster than desktops and thus more expensive ? Or is it not that much worth it for developers ? What are the Sony/XBox/Nintendo engineers thinking that seems to be the same reason ?

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  • a flexible data structure for geometries

    - by AkiRoss
    What data structure would you use to represent meshes that are to be altered (e.g. adding or removing new faces, vertices and edges), and that have to be "studied" in different ways (e.g. finding all the triangles intersecting a certain ray, or finding all the triangles "visible" from a given point in the space)? I need to consider multiple aspects of the mesh: their geometry, their topology and spatial information. The meshes are rather big, say 500k triangles, so I am going to use the GPU when computations are heavy. I tried using arrays with vertices and arrays with indices, but I do not love adding and removing vertices from them. Also, using arrays totally ignore spatial and topological information, which I may need studying the mesh. So, I thought about using custom double-linked list data structures, but I believe doing so will require me to copy the data to array buffers before going on the GPU. I also thought about using BST, but not sure it fits. Any help is appreciated. If I have been too fuzzy and you require other information feel free to ask.

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  • Moving the jBullet collision body to with the player object

    - by Kenneth Bray
    I am trying to update the location of the rigid body for a player class, as my player moves around I would like the collision body to also move with the player object (currently represented as a cube). Below is my current update method for when I want to update the xyz coords, but I am pretty sure I am not able to update the origin coords? : public void Update(float pX, float pY, float pZ) { posX = pX; posY = pY; posZ = pZ; //update the playerCube transform for the rigid body cubeTransform.origin.x = posX; cubeTransform.origin.y = posY; cubeTransform.origin.z = posZ; cubeRigidBody.getMotionState().setWorldTransform(cubeTransform); processTransformMatrix(cubeTransform); } I do not have rotation updated, as I do not actually want/need the player body to rotate at all currently. However, in the final game this will me put in place.

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  • Make Sprite Jump Upon a Platform

    - by Geore Shg
    I have been struggling to make a game like Doodle Jump where the sprite jumps on a platform. So how do you make a sprite jump upon platforms in XNA? Th platforms are represented by a list of positions like Public platformList As List(Of Vector2) This is the collision detection under update() Dim mainSpriteRect As Rectangle = New Rectangle(CInt(mainSprite.Position.X), CInt(mainSprite.Position.Y), mainSprite.texture.Width, mainSprite.texture.Height) 'a node is simply a class with the texture and position' For Each _node As Node In _gameMap.nodeList Dim blockRect As Rectangle = New Rectangle(CInt(_node.Position.X), CInt(_node.Position.Y), _BlocksTexture.Width, _BlocksTexture.Height) If mainSpriteRect.Intersects(blockRect) Then 'what should I do here? For example velocity and position?' End If If (_node.Position.Y > 800) Then nodeList.Remove(_node) End If Next

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  • Any examples of fair mmo games with quick completion

    - by Keith Player
    I'm looking for some example games for inspiration that allow from 10 to a large number of players at a time and can be completed in 10 to 30 minutes. I'm looking for something that would have extremely low bandwidth and not be dependent on chance or luck (i.e one player can't gain an unfair advantage because the computer put them in a better position). Realized on the way home that more clarifications might have been helpful. I'm looking to develop a pay-to-play competition that would allow a large number of players to compete in a relatively short period of time. One way would be to have an mmo that can be completed in 30 minutes, another way would be if you could have 10 person games that finish in under 5 minutes and then have the winners compete against each other until a winner is decided. I'm interested in any genre that would make for a fun/interesting game that doesn't depend on luck, so all players should have the same choice/availability of activities/resources and follow the same rules. Some possible games that could possibly be modified into what I want, would be bztanks (too easy to create a bot), diplomacy (takes too long), risk, some chess like game. I was just wondering if there are other game types to the ones I have been considering.

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  • 3D RTS pathfinding

    - by xcrypt
    I understand the A* algorithm, but I have some trouble doing it in 3D to suit the needs of my RTS Basically, in the game I'm making, there will be agents with different sizes of OBB collision boxes. I can use steering behaviours for avoiding other agents, so I don't need complete dynamic pathfinding. However, there is a problem because different agents have different collision geometry, and structures can be placed in almost any place. This means that there might be a gap between two structures where some agents can go through and some can't. A solution I have found to this problem is to do a sweep of the collision geometry of the agent from start node of the edge the pf algorithm is currently testing, to the end node of that edge. But this is probably a bit overkill since every edge the algorithm tests would also have to create and test with a collision geometry sweep. What are some reasonable approaches to this problem? I should mention that I'd prefer not to use navmeshes, I prefer waypoints because my entire system is based on it atm.

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  • Bending of track in a racing game

    - by caius
    I am trying to create a small racing game in which the track would be modeled using a BSpline curve for the path's center line and directional vectors to define the 'bending' of the track at each point. My problem is that I don't know how to calculate the correct bending / slope of the curve, in such a way that it would be optimal or at least visually nice for a car to 'bend in the corner'. My idea was to use the direction of the 2nd derivatives of the curve, however while this approach looks fine for most of the track, there are points in which the 2nd derivative makes sharp 'twists' / very quick 180 degree flips. I also read about 'knots' of bsplines, but I don't know if such 'twist' in 2nd derivatives is a knot or knots are something else. Can you tell me that using a BSpline: 1. How could I calculate a visually nice bending of a track for a racing game? 2. Is it possible to do this by using some simple calculations of centripertal force / gravity? 3. Is it possible to do this by using 1st, 2nd and 3rd derivatives of the BSpline curve? I am not looking for the 'physically correct' bending angle for the track, I would just like to create something which is visually pleasing in a simple game. I am using a framework which has a built-in class for BSpline, including support for 1st, 2nd and 3rd derivatives of the curve.

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