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  • 2D Skeletal Animation Transformations

    - by Brad Zeis
    I have been trying to build a 2D skeletal animation system for a while, and I believe that I'm fairly close to finishing. Currently, I have the following data structures: struct Bone { Bone *parent; int child_count; Bone **children; double x, y; }; struct Vertex { double x, y; int bone_count; Bone **bones; double *weights; }; struct Mesh { int vertex_count; Vertex **vertices; Vertex **tex_coords; } Bone->x and Bone->y are the coordinates of the end point of the Bone. The starting point is given by (bone->parent->x, bone->parent->y) or (0, 0). Each entity in the game has a Mesh, and Mesh->vertices is used as the bounding area for the entity. Mesh->tex_coords are texture coordinates. In the entity's update function, the position of the Bone is used to change the coordinates of the Vertices that are bound to it. Currently what I have is: void Mesh_update(Mesh *mesh) { int i, j; double sx, sy; for (i = 0; i < vertex_count; i++) { if (mesh->vertices[i]->bone_count == 0) { continue; } sx, sy = 0; for (j = 0; j < mesh->vertices[i]->bone_count; j++) { sx += (/* ??? */) * mesh->vertices[i]->weights[j]; sy += (/* ??? */) * mesh->vertices[i]->weights[j]; } mesh->vertices[i]->x = sx; mesh->vertices[i]->y = sy; } } I think I have everything I need, I just don't know how to apply the transformations to the final mesh coordinates. What tranformations do I need here? Or is my approach just completely wrong?

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  • Collision detection of convex shapes on voxel terrain

    - by Dave
    I have some standard convex shapes (cubes, capsules) on a voxel terrain. It is very easy to detect single vertex collisions. However, it becomes computationally expensive when many vertices are involved. To clarify, currently my algorithm represents a cube as multiple vertices covering every face of the cube, not just the corners. This is because the cubes can be much bigger than the voxels, so multiple sample points (vertices) are required (the distance between sample points must be at least the width of a voxel). This very rapidly becomes intractable. It would be great if there were some standard algorithm(s) for collision detection between convex shapes and arbitrary voxel based terrain (like there is with OBB's and seperating axis theorem etc). Any help much appreciated.

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  • XNA C# Platformer - physics engine or tile based?

    - by Hugh
    I would like to get some opinions on whether i should develop my game using a physics engine (farseer physics seems to be the best option) or follow the traditional tile-based method. Quick background: - its a college project, my first game, but have 4 years academic programming experience - Just want a basic platformer with a few levels, nothing fancy - want a shooting mechanic, run and gun, just like contra or metal slug for example - possibly some simple puzzles I have made a basic prototype with farseer, the level is hardcoded with collisions and not really tiled, more like big full-screen sized tiles, with collision bodies drawn manually along the ground and walls etc. My main problem is i want a simple retro feel to the jumping and physics but because its a physics simulation engine its going to be realistic, whereas typical in air controllable physics for platformers arent realistic. I have to make a box with wheel body fixture under it to have this effect and its glitchy and doesnt feel right. I chose to use a physics engine because i tried the tile method initially and found it very hard to understand, the engine took care of alot things to save me time, mainly being able to do slopes easily was nice and the freedom to draw collision bounds wherever i liked, rather then restricted to a grid, which gave me more freedom for art design also. In conclusion i don't know which method to pick, i want to use a method which will be the most straight forward way to implement and wont give me a headache later on, preferably a method which has an abundance of tutorials and resources so i dont get "stuck" doing something which has been done a million times before! Let me know i haven't provided enough information for you to help me! Thanks in advance, Hugh.

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  • How to utilize miniMax algorithm in Checkers game

    - by engineer
    I am sorry...as there are too many articles about it.But I can't simple get this. I am confused in the implementation of AI. I have generated all possible moves of computer's type pieces. Now I can't decide the flow. Whether I need to start a loop for the possible moves of each piece and assign score to it.... or something else is to be done. Kindly tell me the proper flow/algorithm for this. Thanks

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  • Box2D: How to get the Exact Collision Point and ignore the collision (from 2 "ghost bodies")

    - by Moritz
    I have a very basic problem with Box2D. For a arenatype game where you can throw scriptable "missiles" at other players I decided to use Box2D for the collision detection between the players and the missiles. Players and missiles have their own circular shape with a specific size (varying). But I don´t want to use dynamic bodies because the missiles need to move themselve in any way they want to (defined in the script) and shouldnt be resolved unless the script wants it. The behavior I look for is as following (for each time step): velocity of missiles is set by the specific missile script each missile is moved according to that velocity if a collision accurs now, I want to get the exact position of impact, and now I need a mechanism to decide if the missile should just ignore the collision (for example collision between two fireballs which shouldnt interact) or take it (so they are resolved and dont overlap anymore) So is there a way in Box2D to create Ghost bodies and listen to collisions from them, then deciding if they should ignore the collision or should take them and resolve their position? I hope I was clear enough and would be happy about any help!

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  • convert image to spritesheet of tiles for isometric map?

    - by Paul
    is there a way to convert an isometric image (like the first image) to a spritesheet (like the second image), in order to place each image on the isometric map with the code? The map looks like the first image, but some buildings are bigger than just one tile, so I need several squares (let's say the first image is a building, made of multiple tiles with different colors), and each square is placed with an offset of 64x32. The building is created in Blender and I save the image with the isometric perspective. But I have to split each square from this image in order to have the spritesheet, maybe there is smarter way, or a java software that would make the conversion for me?

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  • How to I get a rotated sprite to move left or right?

    - by rphello101
    Using Java/Slick 2D, I'm using the mouse to rotate a sprite on the screen and the directional keys (in this case, WASD) to move the spite. Forwards and backwards is easy, just position += cos(ang)*speed or position -= cos(ang)*speed. But how do I get the sprite to move left or right? I'm thinking it has something to do with adding 90 degrees to the angle or something. Any ideas? Rotation code: int mX = Mouse.getX(); int mY = HEIGHT - Mouse.getY(); int pX = sprite.x+sprite.image.getWidth()/2; int pY = sprite.y+sprite.image.getHeight()/2; double mAng; if(mX!=pX){ mAng = Math.toDegrees(Math.atan2(mY - pY, mX - pX)); if(mAng==0 && mX<=pX) mAng=180; } else{ if(mY>pY) mAng=90; else mAng=270; } sprite.angle = mAng; sprite.image.setRotation((float) mAng); And the movement code (delta is change in time): Input input = gc.getInput(); Vector2f direction = new Vector2f(); Vector2f velocity = new Vector2f(); direction.x = (float) Math.cos(Math.toRadians(sprite.angle)); direction.y = (float) Math.sin(Math.toRadians(sprite.angle)); if(direction.length()>0) direction = direction.normalise(); //On a separate note, what does this line of code do? velocity.x = (float) (direction.x * sprite.moveSpeed); velocity.y = (float) (direction.y * sprite.moveSpeed); if(input.isKeyDown(sprite.up)){ sprite.x += velocity.x*delta; sprite.y += velocity.y*delta; }if (input.isKeyDown(sprite.down)){ sprite.x -= velocity.x*delta; sprite.y -= velocity.y*delta; }if (input.isKeyDown(sprite.left)){ //??? }if (input.isKeyDown(sprite.right)){ //??? }

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  • Is it possible to extract textures or sprites from compiled game files?

    - by Brian Reindel
    For instance, every map in Portal has what appear to be sprites over a texture indicating the obstacles you'll face (see screenshot). Are these resources compiled into the source as byte code, or is it possible to extract them from installation files? Obviously I understand copyright implications, and I am only interested in using it for a recreational project. Instead of recreating them, I wonder if they can be extracted.

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  • Basic Connections Through Socket Server

    - by Walrus
    I'm designing a simple 2 player RTS with Stencyl, a program that uses blocks for coding. The current code updates lists whenever an actor moves (new X and Y), and I'd want the server to update the game state with each change to the list. However, to start off: I don't even know how to set up a socket server. Stencyl has taught me the basics of logic, but I've yet to learn any programming languages. I've downloaded a Smartfox 2X socket server that I'm intending to use. Right now I'm only looking to make baby steps; I want to do something to this effect: "When someone connects to the server, open insert file here". How can I do this? My intention is to have this file be the game client. Is this "open file when connected" method the best way to go about this? When answering: assume that I know nothing, because really, though I have done research (I know that UDPTCP for real time), implementation-wise I know nothing.

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  • How to use shared_ptr for COM interface pointers

    - by Seefer
    I've been reading about various usage advice relating to the new c++ standard smart pointers unique_ptr, shared_ptr and weak_ptr and generally 'grok' what they are about when I'm writing my own code that declares and consumes them. However, all the discussions I've read seem restricted to this simple usage situation where the programmer is using smart in his/her own code, with no real discussion on techniques when having to work with libraries that expect raw pointers or other types of 'smart pointers' such as COM interface pointers. Specifically I'm learning my way through C++ by attempting to get a standard Win32 real-time game loop up and running that uses Direct2D & DirectWrite to render text to the display showing frames per second. My first task with Direct2D is in creating a Direct2D Factory object with the following code from the Direct2D examples on MSDN: ID2D1Factory* pD2DFactory = nullptr; HRESULT hr = D2D1CreateFactory(D2D1_FACTORY_TYPE_SINGLE_THREADED, &pD2DFactory); pD2DFactory is obviously an 'out' parameter and it's here where I become uncertain how to make use of smart pointers in this context, if indeed it's possible. My inexperienced C++ mind tells me I have two problems: With pD2DFactory being a COM interface pointer type, how would smart_ptr work with the Add() / Release() member functions for a COM object instance? Are smart pointers able to be passed to functions in situations where the function is using an 'out' pointer parameter technique? I did experiment with the alternative of using _com_ptr_t in the comip.h header file to help with pointer lifetime management and declared the pD2DFactory pointer with the following code: _com_ptr_t<_com_IIID<pD2DFactory, &__uuidof(pD2DFactory)>> pD2DFactory = nullptr; and it appears to work so far but, as you can see, the syntax is cumbersome :) So, I was wondering if any C++ gurus here could confirm whether smart pointers are able to help in cases like this and provide examples of usage, or point me to more in-depth discussions of smart pointer usage when needing to work with other code libraries that know nothing of them. Or is it simply a case of my trying to use the wrong tool for the job? :)

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  • Algorithm to find average position

    - by Simran kaur
    In the given diagram, I have the extreme left and right points, that is -2 and 4 in this case. So, obviously, I can calculate the width which is 6 in this case. What we know: The number of partitions:3 in this case The partition number at at any point i.e which one is 1st,second or third partition (numbered starting from left) What I want: The position of the purple line drawn which is positio of average of a particular partition So, basically I just want a generalized formula to calculate position of the average at any point.

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  • Mobile 3D engine renders alpha as full-object transparency

    - by Nils Munch
    I am running a iOS project using the isgl3d framework for showing pod files. I have a stylish car with 0.5 alpha windows, that I wish to render on a camera background, seeking some augmented reality goodness. The alpha on the windows looks okay, but when I add the object, I notice that it renders the entire object transparently, where the windows are. Including interior of the car. Like so (in example, keyboard can be seen through the dashboard, seats and so on. should be solid) The car interior is a seperate object with alpha 1.0. I would rather not show a "ghost car" in my project, but I haven't found a way around this. Have anyone encountered the same issue, and eventually reached a solution ?

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  • Limit the amount a camera can pitch

    - by ChocoMan
    I'm having problems trying to limit the range my camera can pitch. Currently my camera can pitch around a model without restriction, but having a hard time trying to find the value of the degree/radian the camera is currently at after pitching. Here is what I got so far: // Moves camera with thumbstick Pitch = pController.ThumbSticks.Right.Y * MathHelper.ToRadians(speedAngleMAX); // Pitch Camera around model public void cameraPitch(float pitch) { pitchAngle = ModelLoad.camTarget - ModelLoad.CameraPos; axisPitch = Vector3.Cross(Vector3.Up, pitchAngle); // pitch constrained to model's orientation axisPitch.Normalize(); ModelLoad.CameraPos = Vector3.Transform(ModelLoad.CameraPos - ModelLoad.camTarget, Matrix.CreateFromAxisAngle(axisPitch, pitch)) + ModelLoad.camTarget; } I've tried restraining the Y-camera position of ModelLoad.CameraPos.Y, but doing so gave me some unwanted results.

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  • Typical Applications of Linear System Solver in Game Developemnt

    - by craftsman.don
    I am going to write a custom solver for linear system. I would like to survey the typical problems involved the linear system solving in games. So that I can custom optimization on these problems based on the shape of the matrix. currently I am focus on these problems: B-Spline editing (I use a linear solve to resolve the C0, C1, C2 continuity) Constraint in Simulation (especially Position-Constraint, cloth) Both of them are Banded Matrix. I want to hear about some other applications of a linear system in games. Thank you.

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  • Small 3D Scene Graph

    - by Alon
    I'm looking for a 3D graphics library (not a complete game engine). Preferred a scene graph. Something small (unlike jME, XNA or Unity), that I can easily expand and change. Preferred features: Cross Platform Wrriten in Java/Scala (JOGL or LWJGL), C# (preferred OpenTK), Python or JavaScript/WebGL. Support for OpenGL is a must. Direct3D is optional. Some material system Full support for some model format with full animation support (preferred COLLADA) Level of Detail (LOD) support Lighting support Shaders, GUI, Input and Terrain/Water support are also preferred, but not required Thanks!

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  • Rain effect looks like snowfall effect?

    - by Nikhil Lamba
    i am making a game in that game i want rain effect i am little bit far from this right now i am doing like below particleSystem.addParticleInitializer(new ColorInitializer(1, 1, 1)); particleSystem.addParticleInitializer(new AlphaInitializer(0)); particleSystem.setBlendFunction(GL10.GL_SRC_ALPHA, GL10.GL_ONE); particleSystem.addParticleInitializer(new VelocityInitializer(2, 2, 20, 10)); particleSystem.addParticleInitializer(new RotationInitializer(0.0f, 30.0f)); particleSystem.addParticleModifier(new ScaleModifier(1.0f, 2.0f, 0, 150)); particleSystem.addParticleModifier(new ColorModifier(1, 1, 1, 1f, 1, 1, 1, 3)); particleSystem.addParticleModifier(new ColorModifier(1, 1, 1f, 1, 1, 1, 1, 6)); particleSystem.addParticleModifier(new AlphaModifier(0, 1, 0, 3)); particleSystem.addParticleModifier(new AlphaModifier(1, 0, 1, 125)); particleSystem.addParticleModifier(new ExpireModifier(50, 50)); scene.attachChild(particleSystem); But its looks like snowfall effect what changes i can do for make it rain effect please correct me EDIT : here is link for snapshot http://i.imgur.com/bRIMP.png

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  • How to read BC4 texture in GLSL?

    - by Question
    I'm supposed to receive a texture in BC4 format. In OpenGL, i guess this format is called GL_COMPRESSED_RED_RGTC1. The texture is not really a "texture", more like a data to handle at fragment shader. Usually, to get colors from a texture within a fragment shader, i do : uniform sampler2D TextureUnit; void main() { vec4 TexColor = texture2D(TextureUnit, vec2(gl_TexCoord[0])); (...) the result of which is obviously a v4, for RGBA. But now, i'm supposed to receive a single float from the read. I'm struggling to understand how this is achieved. Should i still use a texture sampler, and expect the value to be in a specific position (for example, within TexColor.r ?), or should i use something else ?

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  • Vector Graphics in DirectX

    - by Doug
    I'm curious as to people's thoughts on the best way to use vector graphics in a directX game instead of rasterized textures(think Super Meat Boy). I want to remain resolution independent and don't want to downscale/upscale rasterized graphics. Also the idea would be for all assets to be vector graphics(again think Super Meat Boy). I've looked at Valve's paper "Improved Alpha-Tested Magnification for Vector Textures and Special Effects" and also looked at using shaders http://http.developer.nvidia.com/GPUGems3/gpugems3_ch25.html. Wondering if anyone has done something similar or an alternate approach. Cheers

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  • Collision filtering techniques

    - by Griffin
    I was wondering what efficient techniques are out there for mapping collision filtering between various bodies, sub-bodies, and so forth. I'm familiar with the simple idea of having different layers of 2D bodies, but this is not sufficient for more complex mapping: (Think of having sub-bodies of a body, such as limbs, collide with each other by placing them on the same layer, and then wanting to only have the legs collide with the ground while the arms would not) This can be solved with a multidimensional layer setup, but I would probably end up just creating more and more layers to the point where the simplicity and efficiency of layer filtering would be gone. Are there any more complex ways to solve even more complex situations than this?

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  • How to attach turrets to tiles in a tile based game

    - by Joseph St. Pierre
    I am a flash developer, and I am building a Tower Defense game. The world is being built through tiles, and I have gotten that accomplished easily. I have also gotten level changes and enemy spawning down as well. However, I wish the player to be able to spawn turrets, and have those turrets be on specific tiles, based upon where the player placed it. Here is my code: stop(); colOffset = 50; rowOffset = 50; guns = []; placed = true; dead = 0; spawned = 0; level = 1; interval = 350 / level; amount = level * 20; counter = 0; numCol = 14; numRow = 10; tiles = []; k = 0; create = false; tileName = new Array("road","grass","end", "start"); board = new Array( new Array(1,1,1,1,3,1,1,1,1,1,2,1,1,1), new Array(1,1,1,0,0,1,1,1,1,1,0,1,1,1), new Array(1,1,1,0,1,1,1,1,1,1,0,0,1,1), new Array(1,1,1,0,0,0,1,1,1,1,1,0,1,1), new Array(1,1,1,0,1,0,0,0,1,1,1,0,0,1), new Array(1,1,1,0,1,1,1,0,0,1,1,1,0,1), new Array(1,1,0,0,1,1,1,1,0,1,1,0,0,1), new Array(1,1,0,1,1,1,1,1,0,1,0,0,1,1), new Array(1,1,0,0,0,0,0,0,0,1,0,1,1,1), new Array(1,1,1,1,1,1,1,1,0,0,0,1,1,1) ); buildBoard(); function buildBoard(){ for ( col = 0; col < numCol; col++){ for ( row = 0; row < numRow; row++){ _root.attachMovie("tile", "tile_" + col + "_" + row, _root.getNextHighestDepth()); theTile = eval("tile_" + col + "_" + row); theTile._x = (col * 50); theTile._y = (row * 50); theTile.row = row; theTile.col = col; tileType = board[row][col]; theTile.gotoAndStop(tileName[tileType]); tiles.push(theTile); } } } init(); function init(){ onEnterFrame = function(){ counter += 1; if ( spawned < amount && counter > 50){ min= _root.attachMovie("minion","minion",_root.getNextHighestDepth()); min._x = tile_4_0._x + 25; min._y = tile_4_0._y + 25; min.health = 100; choose = Math.round(Math.random()); if ( choose == 0 ){ min.waypointX = [ tile_4_1._x +25, tile_3_1._x + 25, tile_3_2._x + 25, tile_3_6._x + 25, tile_2_6._x + 25, tile_2_8._x + 25, tile_8_8._x + 25, tile_8_9._x + 25, tile_10_9._x + 25, tile_10_7._x + 25, tile_11_7._x + 25, tile_11_6._x + 25, tile_12_6._x + 25, tile_12_4._x + 25, tile_11_4._x + 25, tile_11_2._x + 25, tile_10_2._x + 25, tile_10_0._x + 25]; min.waypointY = [ tile_4_1._y +25, tile_3_1._y + 25, tile_3_2._y + 25, tile_3_6._y + 25, tile_2_6._y + 25, tile_2_8._y + 25, tile_8_8._y + 25, tile_8_9._y + 25, tile_10_9._y + 25, tile_10_7._y + 25, tile_11_7._y + 25, tile_11_6._y + 25, tile_12_6._y + 25, tile_12_4._y + 25, tile_11_4._y + 25, tile_11_2._y + 25, tile_10_2._y + 25, tile_10_0._y + 25]; } else if ( choose == 1 ){ min.waypointX = [ tile_4_1._x +25, tile_3_1._x + 25, tile_3_2._x + 25, tile_3_3._x + 25, tile_5_3._x + 25, tile_5_4._x + 25, tile_7_4._x + 25, tile_7_5._x + 25, tile_8_5._x + 25, tile_8_8._x + 25, tile_8_9._x + 25, tile_10_9._x + 25, tile_10_7._x + 25, tile_11_7._x + 25, tile_11_6._x + 25, tile_12_6._x + 25, tile_12_4._x + 25, tile_11_4._x + 25, tile_11_2._x + 25, tile_10_2._x + 25, tile_10_0._x + 25 ]; min.waypointY = [ tile_4_1._y +25, tile_3_1._y + 25, tile_3_2._y + 25, tile_3_3._y + 25, tile_5_3._y + 25, tile_5_4._y + 25, tile_7_4._y + 25, tile_7_5._y + 25, tile_8_5._y + 25, tile_8_8._y + 25, tile_8_9._y + 25, tile_10_9._y + 25, tile_10_7._y + 25, tile_11_7._y + 25, tile_11_6._y + 25, tile_12_6._y + 25, tile_12_4._y + 25, tile_11_4._y + 25, tile_11_2._y + 25, tile_10_2._y + 25, tile_10_0._y + 25 ]; } min.i = 0; counter = 0; spawned += 1; min.onEnterFrame = function(){ dx = this.waypointX[this.i] - this._x; dy = this.waypointY[this.i] - this._y; radians = Math.atan2(dy,dx); degrees = radians * 180 / Math.PI; xspeed = Math.cos(radians); yspeed = Math.sin(radians); this._x += xspeed; this._y += yspeed; if( this._x == this.waypointX[this.i] && this._y == this.waypointY[this.i]){ this.i++; } if ( this._x == tile_10_0._x + 25 && this._y == tile_10_0._y + 25){ this.removeMovieClip(); dead += 1; } } } if ( dead >= amount ){ dead = 0; level += 1; amount = level * 20; spawned = 0; } } btnM.onRelease = function(){ create = true; } } game.onEnterFrame = function(){ } It is possible for me however to complete this task, but only once. I am able to make the turret, drag it over to a tile, and have it attach itself to the tile. No problem. The issue is, I cannot do these multiple times. Please Help.

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  • Implement 2x speed in tower of defense type game

    - by Siddharth
    I was currently developing tower of defense game and I want to implement 2x feature for my game. Game usually run with 1x speed that was normal speed of the game. Here what 1x and 2x mean : 1x - mention normal speed of the game, 2x - mention the game object moves with double speed means user experience the fast game play. I want to implement such functionality for my game. The functionality that I want contains in the game Medieval Castle game that was available in the market. https://play.google.com/store/apps/details?id=com.nova.root&feature=search_result#?t=W251bGwsMSwxLDEsImNvbS5ub3ZhLnJvb3QiXQ.. The screen shot also shows the 1x and 2x button in that game. I think for 2x speed of the game I have to increase the speed of each object that were in the game. So any member please help what to do for that implementation. Only idea become enough for me.

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  • Texture the quad with different parts of texture

    - by PolGraphic
    I have a 2D quad. Let say it's position is (5,10) and size is (7,11). I want to texture it with one texture, but using three different parts of it. I want to texture the part of quad from x = 5 to x = 7 with part of texture from U = 0 to U = 0.5 (replaying it after achieving 0.5, so I will have 4 same 0.5-lenght fragments). The second one with some other part of texture (also repeating it) and third in the same style. But, how to achieve it? I know that: float2 tc = fmod(input.TexCoord, textureCoordinates.zw - textureCoordinates.xy) + textureCoordinates.xy; //textureCoordinates.xy = fragments' offset Will give me the texture part replaying.

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  • Inverting matrix then decomposing gives different quaternion than decomposing then inverting the quat

    - by Fraser
    I'm getting different signs when I convert a matrix to quaternion and invert that, versus when I invert a matrix and then get the quaternion from it: Quaternion a = Quaternion.Invert(getRotation(m)); Quaternion b = getRotation(Matrix.Invert(m)); I would expect a and b to be identical (or inverses of each other). However, it looks like q1 = (x, y, -z, -w) while q2 = (-x, -y, w, z). In other words, the Z and W components have been switched for some reason. Note: getRotation() decomposes the transform matrix and returns just the rotation part of it (I've tried normalizing the result; it does nothing). The matrix m is a complete transform matrix and contains a translation (and possibly a scale) as well as a rotation. I'm using D3DXMatrixDecompose to do the actual decomposition.

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  • Making entire scene fade to grayscale

    - by Fibericon
    When the player loses all of their lives, I want the entire game screen to go grayscale, but not stop updating immediately. I'd also prefer it fade to grayscale instead of suddenly lose all color. Everything I've found so far is either about taking a screenshot and making it grayscale, or making a specific texture grayscale. Is there a way to change the entire playing field and all objects within to grayscale without iterating through everything?

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  • How can I locate empty space next to polygon regions?

    - by Stephen
    Let's say I have the following area in a top-down map: The circle is the player, the black square is an obstacle, and the grey polygons with red borders are walk-able areas that will be used as a navigation mesh for enemies. Obstacles and grey polygons are always convex. The grey regions were defined using an algorithm when the world was generated at runtime. Notice the little white column. I need to figure out where any empty space like this is, if at all, after the algorithm builds the grey regions, so that I can fill the space with another region. Basically what I'm hoping for is an algorithm that can detect empty space next to a polygon.

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