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  • Turn based battle and formula

    - by Mark Chapman
    I'm building a game called DVP(Digimon Virtual Pet), and in this game other than taking care of your digimon, You can also battle and breed them. I'm working on the battle system (making it first cause the actual pet system will be easy compared to the netplay, or 39DLL)but here is the problem I don't want it to be "too" simple or "too" complicated, but I do want to go by a certain formula. There are str, def, spd, and int. Strength: How hard the attacking digimon is hitting Defense: How much damage your digimon can defend when being attacked Speed: The chance of you missing the enemy Intelligence (battle knowledge): The chance of you hitting a critical hit or defending a critical hit. I can make a super simple turn based example, but I don't know how exactly to make the formulas for what I've explained above, any help?

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  • How would I balance a multiplayer competitive game

    - by Simon
    I'm looking at my first foray into developing a game, and would love to know whether you guys have any thoughts on game balancing on limited multiplayer games. The game I have in mind involves a neutral player that has to achieve a goal, with two supporting "deity" players who are one of 'good' and 'evil' - One of the deity players would try to help the player achieve their goal, while the other would try to thwart them. Any thoughts or pointers on how I can ensure the deities are balanced? If you want me to expand, I will, just didn't want to give away too much of the game play before I finish it.

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  • How should I generate and store the boundries of a cave?

    - by Bob Roberts
    I am making a small cave copter game (seriously, where did this type of game come from anyway) and I am trying to figure out how to make and store the procedural generated walls. I am thinking about creating the walls by randomly picking two points away from the center of the screen. They will be no closer than the height of helicopter and no further than the edge of the screen, weighted to prefer to go in the same direction as the point prior so I end up with stalactites and stalagmites and not just noise, at set intervals of distance. To store, perhaps parallel arrays/lists, one for distance from center to top screen and one for distance from center to bottom. Am I way off base with my thinking? I just want the cave to be varied and challenging, I just have never worked with generating data like this. Edit: Woah, I just realized that my idea would lead to a player being able to stay in the middle of the screen and win. That isn't right at all. So the very basis of how I was going to generate is wrong. Edit 2: I also realized I left out a very crucial point. Part of the mechanics of the game will let the player go backwards therefor the data structure should be continuous.

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  • how can i move static box2d object.

    - by user5198
    how can i move static box2d sprites. i have tried this tutorial from . http://www.raywenderlich.com/475/how-to-create-a-simple-breakout-game-with-box2d-and-cocos2d-tutorial-part-12. I managed to add another "paddle" object with box2d body, but i can seam to be able to make the code to move the second "paddle" body. Can anyone direct me how to do it? Is there a way to move a "b2_staticBody" box 2d object? i have tried, but i can only move it when i use "b2_dynamicBody" if i used "b2_staticBody" i can move it at all.

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  • Frames per Second and Updates per Second [on hold]

    - by matt murray
    So this is more a general resources question, as I am seeking knowledge on how best to conserve resources in a game (I am writing in Java, and please this is not a thread on what language I should write it in, I have already chosen Java) so that the updates and frames per second could be the highest they could be. In general I am just searching for any articles you may have, any personal experience, anything what so ever that could be of use to a pretty new Java game developer on the subject! Thanks in advance!

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  • Camera Collision inside the room model

    - by sanddy
    I am having a problem in Calculating the camera collision for my Room model which consists of sofa, tables and other models. The users shall be moving the camera front, back, rotating so i need to make sure that the camera does not collide with any of the models with in the room. I have treated all my models inside the room by BoundingBox[] and the camera by BoundingSphere. So, far i have implemented collision by looking into the tutorial from http://www.toymaker.info/Games/XNA/html/xna_model_collisions.html which was great. But, I guess the problem lies in the Transformation part. I debugged and found some points to be at Vector(-XXX,-XXX,-XXX) where X is digit. Also i found my radius of some models where too large(in thousand, i just looked into its radius value before converting to BoundingBox). Do I need to scale the model for collision??? Below are my code:- On My LoadContent(): Matrix[] transforms = new Matrix[myModel.Bones.Count]; myModel.CopyAbsoluteBoneTransformsTo(transforms); int index = 0; box = new List<BoundingBox>(); BoundingBox worldModel = Utility.CalculateBoundingBox(myModel); foreach (ModelMesh mesh in myModel.Meshes) { Vector3[] obb = new Vector3[8]; worldModel.GetCorners(obb); Vector3[] asdf = (Vector3[])obb.Clone(); Vector3.Transform(obb, ref transforms[mesh.ParentBone.Index], obb); BoundingBox worldBox = BoundingBox.CreateFromPoints(obb); box.Add(worldBox); index++; } On CameraPosition Update: BoundingSphere bs = new BoundingSphere(this.cameraPos, 5.0f); if (RoomWalkthrough.Utility.CheckCollision(bs, bb)) { // Do Something } Please Help.

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  • How to update entity states and animations in a component-based game

    - by mivic
    I'm trying to design a component-based entity system for learning purposes (and later use on some games) and I'm having some troubles when it comes to updating entity states. I don't want to have an update() method inside the Component to prevent dependencies between Components. What I currently have in mind is that components hold data and systems update components. So, if I have a simple 2D game with some entities (e.g. player, enemy1, enemy 2) that have Transform, Movement, State, Animation and Rendering components I think I should have: A MovementSystem that moves all the Movement components and updates the State components And a RenderSystem that updates the Animation components (the animation component should have one animation (i.e. a set of frames/textures) for each state and updating it means selecting the animation corresponding to the current state (e.g. jumping, moving_left, etc), and updating the frame index). Then, the RenderSystem updates the Render components with the texture corresponding to the current frame of each entity's Animation and renders everything on screen. I've seen some implementations like Artemis framework, but I don't know how to solve this situation: Let's say that my game has the following entities. Each entity have a set of states and one animation for each state: player: "idle", "moving_right", "jumping" enemy1: "moving_up", "moving_down" enemy2: "moving_left", "moving_right" What are the most accepted approaches in order to update the current state of each entity? The only thing that I can think of is having separate systems for each group of entities and separate State and Animation components so I would have PlayerState, PlayerAnimation, Enemy1State, Enemy1Animation... PlayerMovementSystem, PlayerRenderingSystem... but I think this is a bad solution and breaks the purpose of having a component-based system. As you can see, I'm quite lost here, so I'd very much appreciate any help.

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  • Calculating a child Position, Rotation and Scale values?

    - by Sergio Plascencia
    I am making my own game editor(just for fun) anyway I have problem that I had several days trying to resolve but I have been unsuccessful. Here goes... I have an object "A": Position: (3,3,3), Rotation: (45,10,0), Scale(1,2,2.5) And an object "B": Position: (1,1,1), Rotation: (10,34,18), Scale(1.5,2,1) I now make a parent/child relationship. "B" is a child of "A": A |--B When I do the relationship I need to re-calculate the Child("B") Position, Rotation and Scale such that it maintains its current position, rotation and scale(Location in world). So for child position "B" it would now be (-2, -2, -2) since now "A" it is center and (-2, -2, -2) will keep the object in its same position. I think I got the Position and scale figure out, but rotation I cant. So I was trying to figure out what to do and what I did is opened Unity and run the same example and I did noticed that when making an abject a child object the child object did not moved at all but had its Position, Rotation and Scale values changed(Related to the parent). For example: Unity (Parent Object "A"): Position: (0,0,0) Rotation: (45,10,0) Scale: (1,1,1) Unity (Child Object "B"): Position: (0,0,0) Rotation: (0,0,0) Scale: (1,1,1) When making it a parent child relation("B" is a child of "A") the child object("B") in its Rotation values now has: X: -44.13605 Y: -14.00195 Z: 9.851074 If I plug the same values to my editor(To the child "B" rotation X, Y, Z values) the object does not move at all. So I basically need to know how did Unity arrive at those rotation values for the child(What are the calculations?). If you can help and put all the equations for the Position, Rotation or Scale then I can double check I am doing it correctly but with the Rotation I really need help. Thanks!

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  • Implmenting RLE into a tilemap or how to create a large 3D array?

    - by Smallbro
    Currently I've been using a 3D array for my tiles in a 2D world but the 3D side comes in when moving down into caves and whatnot. Now this is not memory efficient and I switched over to a 2D array and can now have much larger maps. The only issue I'm having now is that it seems that my tiles cannot occupy the same space as a tile on the same z level. My current structure means that each block has its own z variable. This is what it used to look like: map.blockData[x][y][z] = new Block(); however now it works like this map.blockData[x][y] = new Block(z); I'm not sure why but if I decide to use the same space on say the floor below it wont allow me to. Does anyone have any ideas on how I can add a z-axis to my 2D array? I'm using java but I reckon the concept carries across different languages. Edit: As Will posted, RLE sounds like the best method for achieving a fast 3D array. However I'm struggling to understand how I would even start to implement it? Would I create a 4D array the 4th being something which controls how many to skip? Or would the x-axis simply change altogether and have large gaps in between - for example [5][y][z] would skip 5 tiles? Is there something really obvious here which I am missing? The number of z levels I'm trying to have is around 66, it would be preferably that I can have up to or more than 1000 in x and y.

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  • How can i get latency when using Game Center?

    - by Freddy
    I'm pretty new to network programming. Basically I'm using game center for making a relatively simple iPhone game using Game-center p2p. However i'm now working on a algorithm to improve the multiplayer performance. But, I need to know how long it took for a package to travel from one device to the another device (latency) for the algorithm to work good. As for now, I have solved the problem by sending a double with time interval since 1970 in the package and then I compare it with the time at the other device. However I have heard that the NSDate methods is connected to the internet, which also will cause latency so the time interval would not be perfectly correct. What is the ideal way to check for how long it take for a package to be sent?

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  • Converting a GameObject method call from UnityScript to C#

    - by Crims0n_
    Here is the UnityScript implementation of the method i use to generate a randomly tiled background, the problem i'm having relates to how to translate the call to the newTile method in c#, so far i've had no luck fiddling... can anyone point me in the correct direction? Thanks #pragma strict import System.Collections.Generic; var mapSizeX : int; var mapSizeY : int; var xOffset : float; var yOffset : float; var tilePrefab : GameObject; var tilePrefab2 : GameObject; var tiles : List.<Transform> = new List.<Transform>(); function Start () { var i : int = 0; var xIndex : int = 0; var yIndex : int = 0; xOffset = 2.69; yOffset = -1.97; while(yIndex < mapSizeY){ xIndex = 0; while(xIndex < mapSizeX){ var z = Random.Range(0, 5); if (z > 2) { var newTile : GameObject = Instantiate (tilePrefab, Vector3(xIndex*0.64 - (xOffset * (mapSizeX/10)), yIndex*-0.64 - (yOffset * (mapSizeY/10)), 0), Quaternion.identity); tiles.Add(newTile.transform); newTile.transform.parent = transform; newTile.transform.name = "tile_"+i; i++; xIndex++; } if (z < 2) { var newTile2 : GameObject = Instantiate (tilePrefab2, Vector3(xIndex*0.64 - (xOffset * (mapSizeX/10)), yIndex*-0.64 - (yOffset * (mapSizeY/10)), 0), Quaternion.identity); tiles.Add(newTile2.transform); newTile2.transform.parent = transform; newTile2.transform.name = "Ztile_"+i; i++; xIndex++; } } yIndex++; } } C# Version [Fixed] using UnityEngine; using System.Collections; public class LevelGen : MonoBehaviour { public int mapSizeX; public int mapSizeY; public float xOffset; public float yOffset; public GameObject tilePrefab; public GameObject tilePrefab2; int i; public System.Collections.Generic.List<Transform> tiles = new System.Collections.Generic.List<Transform>(); // Use this for initialization void Start () { int i = 0; int xIndex = 0; int yIndex = 0; xOffset = 1.58f; yOffset = -1.156f; while (yIndex < mapSizeY) { xIndex = 0; while(xIndex < mapSizeX) { int z = Random.Range(0, 5); if (z > 5) { GameObject newTile = (GameObject)Instantiate(tilePrefab, new Vector3(xIndex*0.64f - (xOffset * (mapSizeX/10.0f)), yIndex*-0.64f - (yOffset * (mapSizeY/10.0f)), 0), Quaternion.identity); tiles.Add(newTile.transform); newTile.transform.parent = transform; newTile.transform.name = "tile_"+i; i++; xIndex++; } if (z < 5) { GameObject newTile2 = (GameObject)Instantiate(tilePrefab, new Vector3(xIndex*0.64f - (xOffset * (mapSizeX/10.0f)), yIndex*-0.64f - (yOffset * (mapSizeY/10.0f)), 0), Quaternion.identity); tiles.Add(newTile2.transform); newTile2.transform.parent = transform; newTile2.transform.name = "tile2_"+i; i++; xIndex++; } } yIndex++; } } // Update is called once per frame void Update () { } }

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  • Texturize a shape of multiple triangles in 2D

    - by Deukalion
    This is an example of a shape consisting of multiple points, triangles and eventually a shape: Red Dots = Vector3 (X, Y, Z) or Vector2 (X, Y) If I have a Texture of a certain size, how do I texturize this area in the best way so that the texture inside the shape matches the shape and does not overlap anywhere? Perhaps also with a chance to scale the texture in case it's too small or to big for the shape, but still so that it gets rendered correctly. Do I treat the shape as a rectangle? Figure out it's 4 corners? Or do I calculate the distance between Center - (Texture Width / 2) and Point (to see how "many" times the texture can fit between on that axis to estimate at what Coordinates the Texture should be at that certain point? I've looked at Texture Mapping but haven't found any concrete examples that it explains it well, it's also confusing with 0.0-1.0 values for Texture Coordinates.

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  • Fast software color interpolating triangle rasterization technique

    - by Belgin
    I'm implementing a software renderer with this rasterization method, however, I was wondering if there is a possibility to improve it, or if there exists an alternative technique that is much faster. I'm specifically interested in rendering small triangles, like the ones from this 100k poly dragon: As you can see, the method I'm using is not perfect either, as it leaves small gaps from time to time (at least I think that's what's happening). I don't mind using assembly optimizations. Pseudocode or actual code (C/C++ or similar) is appreciated. Thanks in advance.

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  • How can I downsample a texture using FBOs?

    - by snape
    I am rendering a scene to FBO as my render target whose size is 8 times the size of the orignal screen in OpenGL. Now i wan to downsample the texture generated by FBO to the size of the screen so as to achieve spatial anti aliasing. How do i achieve the down sampling ? Please provide implementation details. Note : If there is a better way of doing anti aliasing in FBOs please mention that too. I am trying to remove the aliasing in the image attached below.

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  • Importing FBX with multiple meshes in UDK

    - by andresp
    I need to import into UDK a several amount of FBX models (representing buildings) which are composed by various submeshes (walls, windows, roof...). I need to keep the individual meshes (can't use the merge option) but I also need to work with the building as a whole. Do you know if this is possible? How? Also, is there a way to keep the textures assignment for the FBX models after importing them to Unreal? Doing the process manually (importing model, importing texture, assign to the material, assign the material to each mesh and submesh) for 100 or 200 models (to import an entire city from City Engine), isn't viable.

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  • Representing heightmaps, on disk and when drawing

    - by gardian06
    This is a conglomeration question when answering please specify which part you are addressing. I am looking at creating a maze type game that utilizes elevation. I have a few features I would like to have, but am unsure as to some of the implementation. I have done work doing fileIO maze generation (using a key to read the file, and then generate the level based on that file), but I am unsure how to think about this with elevation in the mix. I think height maps might be a good approach, but don't know how to represent them effectively. for a height map which is more beneficial XML(containing h[u,v] data and key definition), CSV (item1 is key reference, item2 is elevation), or another approach that I have not thought of yet? When it comes to placing the elevation values themselves what kind of deltah values are appropriate to have it noticeable at about a 60degree angle while not really effecting gravity driven physics (assuming some effect while moving up/down hill)? I am thinking of maybe going to procedural generation at some point, but am wondering if it is practical to have a procedurally generated grid (wall squares possibly same dimensions as the open space squares), or if designing to a thin wall open spaces is better? this decision will effect the amount of work need on the graphics end for uniform vs. irregular walls. EDIT: Game will be a elevation maze shooter. Levels/maps will be mazes with elevation the player has to negotiate. Elevations will have effects on "combat" vision, and movement.

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  • MMORPG design for time-limited players

    - by Philipp
    I believe that there is a significant market of players who would enjoy the exploration and interaction aspects of MMORPGs, but simply don't have the time for the endless grinding marathons which are part of the average MMORPG. MMORPGs are all about interaction between players. But when different players have different amounts of time to invest into a game, those with less time to spend will soon lack behind their power-leveling friends and won't be able to interact with them anymore. One way to solve this would be to limit the progress a player can achieve per day, so that it simply doesn't make sense to play more than one or two hours a day. But even the busiest casual players sometimes like to spend a whole sunday afternoon playing a video game. Just stopping them after two hours would be really frustrating. It also creates a pressure to use the daily progress limit every day, because otherwise the player would feel like wasting something. This pressure would be detrimental for casual gamers. What else could be done to level the playing field between those players who play 40+ hours a week and those who can't play more than 10?

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  • Continuous Movement of gun bullet

    - by Siddharth
    I was using box2d for the movement of the body. When I apply gravity (0,0) the bullet continuously move but when I change gravity to the earth the behavior was changed. I also try to apply continuous force to the bullet body but the behavior was not so good. So please provide any suggestion to continuously move bullet body in earth gravity. currentVelocity = bulletBody.getLinearVelocity(); if (currentVelocity.len() < speed|| currentVelocity.len() > speed + 0.25f) { velocityChange = Math.abs(speed - currentVelocity.len()); currentVelocity.set(currentVelocity.x* velocityChange, currentVelocity.y*velocityChange); bulletBody.applyLinearImpulse(currentVelocity,bulletBody.getWorldCenter()); } I apply above code for the continuous velocity of the body. And also I did not able to find any setGravityScale method in the library.

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  • 3D rotation matrices deform object while rotating

    - by Kevin
    I'm writing a small 3D renderer (using an orthographic projection right now). I've run into some trouble with my 3D rotation matrices. They seem to squeeze my 3D object (a box primitive) at certain angles. Here's a live demo (only tested in Google Chrome): http://dl.dropbox.com/u/109400107/3D/index.html The box is viewed from the top along the Y axis and is rotating around the X and Z axis. These are my 3 rotation matrices (Only rX and rZ are being used): var rX = new Matrix([ [1, 0, 0], [0, Math.cos(radiants), -Math.sin(radiants)], [0, Math.sin(radiants), Math.cos(radiants)] ]); var rY = new Matrix([ [Math.cos(radiants), 0, Math.sin(radiants)], [0, 1, 0], [-Math.sin(radiants), 0, Math.cos(radiants)] ]); var rZ = new Matrix([ [Math.cos(radiants), -Math.sin(radiants), 0], [Math.sin(radiants), Math.cos(radiants), 0], [0, 0, 1] ]); Before projecting the verticies I multiply them by rZ and rX like so: vert1.multiply(rZ); vert1.multiply(rX); vert2.multiply(rZ); vert2.multiply(rX); vert3.multiply(rZ); vert3.multiply(rX); The projection itself looks like this: bX = (pos.x + (vert1.x*scale)); bY = (pos.y + (vert1.z*scale)); Where "pos.x" and "pos.y" is an offset for centering the box on the screen. I just can't seem to find a solution to this and I'm still relativly new to working with Matricies. You can view the source-code of the demo page if you want to see the whole thing.

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  • Is there a way to export all the images of my tweening effect in Flash?

    - by Paul
    i'm using Flash to create the animation of my character in 2D (i'm just beginning). Is it possible to make a tween effect of a character, and then automatically export all the images/frames? So far, it's a bit fastidious : i create my tweening effect, then i put a keyframe for each frame i want to copy and paste, then i select the movieclips and shapes and copy and paste them into another flash document, i position those clips at the exact same location as the previous image, then i erase the previous image and export the image... For 30 frames! Is there any faster way? Thanks

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  • How to translate along Z axis in OpenTK

    - by JeremyJAlpha
    I am playing around with an OpenGL sample application I downloaded for Xamarin-Android. The sample application produces a rotating colored cube I would simply like to edit it so that the rotating cube is translated along the Z axis and disappears into the distance. I modified the code by: adding an cumulative variable to store my Z distance, adding GL.Enable(All.DepthBufferBit) - unsure if I put it in the right place, adding GL.Translate(0.0f, 0.0f, Depth) - before the rotate functions, Result: cube rotates a couple of times then disappears, it seems to be getting clipped out of the frustum. So my question is what is the correct way to use and initialize the Z buffer and get the cube to travel along the Z axis? I am sure I am missing some function calls but am unsure of what they are and where to put them. I apologise in advance as this is very basic stuff but am still learning :P, I would appreciate it if anyone could show me the best way to get the cube to still rotate but to also move along the Z axis. I have commented all my modifications in the code: // This gets called when the drawing surface is ready protected override void OnLoad (EventArgs e) { // this call is optional, and meant to raise delegates // in case any are registered base.OnLoad (e); // UpdateFrame and RenderFrame are called // by the render loop. This is takes effect // when we use 'Run ()', like below UpdateFrame += delegate (object sender, FrameEventArgs args) { // Rotate at a constant speed for (int i = 0; i < 3; i ++) rot [i] += (float) (rateOfRotationPS [i] * args.Time); }; RenderFrame += delegate { RenderCube (); }; GL.Enable(All.DepthBufferBit); //Added by Noob GL.Enable(All.CullFace); GL.ShadeModel(All.Smooth); GL.Hint(All.PerspectiveCorrectionHint, All.Nicest); // Run the render loop Run (30); } void RenderCube () { GL.Viewport(0, 0, viewportWidth, viewportHeight); GL.MatrixMode (All.Projection); GL.LoadIdentity (); if ( viewportWidth > viewportHeight ) { GL.Ortho(-1.5f, 1.5f, 1.0f, -1.0f, -1.0f, 1.0f); } else { GL.Ortho(-1.0f, 1.0f, -1.5f, 1.5f, -1.0f, 1.0f); } GL.MatrixMode (All.Modelview); GL.LoadIdentity (); Depth -= 0.02f; //Added by Noob GL.Translate(0.0f,0.0f,Depth); //Added by Noob GL.Rotate (rot[0], 1.0f, 0.0f, 0.0f); GL.Rotate (rot[1], 0.0f, 1.0f, 0.0f); GL.Rotate (rot[2], 0.0f, 1.0f, 0.0f); GL.ClearColor (0, 0, 0, 1.0f); GL.Clear (ClearBufferMask.ColorBufferBit); GL.VertexPointer(3, All.Float, 0, cube); GL.EnableClientState (All.VertexArray); GL.ColorPointer (4, All.Float, 0, cubeColors); GL.EnableClientState (All.ColorArray); GL.DrawElements(All.Triangles, 36, All.UnsignedByte, triangles); SwapBuffers (); }

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  • Absorbtion 2d image effect

    - by Ed.
    I want to create a specyfic 2d image effect. It consists in modifying a sprite so it looks like it is being zoomed to a point or "absorbed" by that point. I'm not really sure what is the technical name of this effect so I cannot explain it correctly. Here you can see a video of what I'm talking about, it is the effect when the character absorbs the three glyphs. http://www.youtube.com/watch?v=PIo-GddsMcU&t=4m45s What is the name of this effect? How can I implement it with XNA for 2D textures/sprites?

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  • How to have operations with character/items in binary with concrete operations?

    - by Piperoman
    I have the next problem. A item can have a lot of states: NORMAL = 0000000 DRY = 0000001 HOT = 0000010 BURNING = 0000100 WET = 0001000 COLD = 0010000 FROZEN = 0100000 POISONED= 1000000 A item can have some states at same time but not all of them Is impossible to be dry and wet at same time. If you COLD a WET item, it turns into FROZEN. If you HOT a WET item, it turns into NORMAL A item can be BURNING and POISON Etc. I have tried to set binary flags to states, and use AND to combine different states, checking before if it is possible or not to do it, or change to another status. Does there exist a concrete approach to solve this problem efficiently without having an interminable switch that checks every state with every new state? It is relatively easy to check 2 different states, but if there exists a third state it is not trivial to do.

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  • Where can I find free or buy "next-gen" 3D Assets?

    - by Valmond
    Usually I buy 3D Assets from sites like turbosquid.com or similar. My problem is that I have lately implemented glow, normal maps, specular (and specular power) maps and reflection maps and I can't find any models that use those techniques. So where can I find / buy "next gen" assets (at least models/items with a normal map)? I have checked for similar posts but those I found are about either free only or 2D or 'ordinary' 3D so I hope this is not a duplicate.

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  • Arbitrary projection matrix from 6 arbitrary frustum planes

    - by Doub
    A projection matrix represent a tranformation from the camera view space to the rendering system clip space. In other words, it defines the transormation between a 6-sided frustum to the clip cube. The glOrtho and glFrustum use only 6 parameter to define such a projection, but impose several constraints on the frustum that will get projected to the clip cube: the near and far planes are parallel, the left and right planes intersect on a vertical line, and the top and bottom planes intersect on a horizontal lines, both lines being parallel to the near and far planes. I'd like to lift these restrictions. So, from the definition of the 6 frustum side planes (in whatever representation you see fit), how can I compute a general projection matrix?

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