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  • Bubble shooter search alghoritm

    - by Fofole
    So I have a Matrix of NxM. At a given position (for ex. [2][5]) I have a value which represents a color. If there is nothing at that point the value is -1. What I need to do is after I add a new point, to check all his neighbours with the same color value and if there are more than 2, set them all to -1. If what I said doesn't make sense what I'm trying to do is an alghoritm which I use to destroy all the same color bubbles from my screen, where the bubbles are memorized in a matrix where -1 means no bubble and {0,1,2,...} represent that there is a bubble with a specific color. This is what I tried and failed: public class Testing { static private int[][] gameMatrix= {{3, 3, 4, 1, 1, 2, 2, 2, 0, 0}, {1, 4, 1, 4, 2, 2, 1, 3, 0, 0}, {2, 2, 4, 4, 3, 1, 2, 4, 0, 0}, {0, 1, 2, 3, 4, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, }; static int Rows=6; static int Cols=10; static int count; static boolean[][] visited=new boolean[15][15]; static int NOCOLOR = -1; static int color = 1; public static void dfs(int r, int c, int color, boolean set) { for(int dr = -1; dr <= 1; dr++) for(int dc = -1; dc <= 1; dc++) if(!(dr == 0 && dc == 0) && ok(r+dr, c+dc)) { int nr = r+dr; int nc = c+dc; // if it is the same color and we haven't visited this location before if(gameMatrix[nr][nc] == color && !visited[nr][nc]) { visited[nr][nc] = true; count++; dfs(nr, nc, color, set); if(set) { gameMatrix[nr][nc] = NOCOLOR; } } } } static boolean ok(int r, int c) { return r >= 0 && r < Rows && c >= 0 && c < Cols; } static void showMatrix(){ for(int i = 0; i < gameMatrix.length; i++) { System.out.print("["); for(int j = 0; j < gameMatrix[0].length; j++) { System.out.print(" " + gameMatrix[i][j]); } System.out.println(" ]"); } System.out.println(); } static void putValue(int value,int row,int col){ gameMatrix[row][col]=value; } public static void main(String[] args){ System.out.println("Initial Matrix:"); putValue(1, 4, 1); putValue(1, 5, 1); showMatrix(); for(int n = 0; n < 15; n++) for(int m = 0; m < 15; m++) visited[n][m] = false; //reset count count = 0; //dfs(bubbles.get(i).getRow(), bubbles.get(i).getCol(), color, false); // get the contiguous count dfs(5,1,color,false); //if there are more than 2 set the color to NOCOLOR for(int n = 0; n < 15; n++) for(int m = 0; m < 15; m++) visited[n][m] = false; if(count > 2) { //dfs(bubbles.get(i).getRow(), bubbles.get(i).getCol(), color, true); dfs(5,1,color,true); } System.out.println("Matrix after dfs:"); showMatrix(); } }

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  • I love video games and know I want to work in the sector but hate programming

    - by normyp
    I just hate how I'll put in 8-10 hours in and get little to nothing back. The return results for your efforts seem to be pathetically small the majority of the time and I don't find that rewarding enough for me to put in the time and effort to learn programming and make myself better. I've heard game design is fun and I think I'd love that but apparently you can only get into that really if you can program, is that true? I feel a bit lost because I'm doing a degree in Games Technology and am worried that I'm sending myself into a job I'll hate.

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  • Get collision details from Rectangle.Intersects()

    - by Daniel Ribeiro
    I have a Breakout game in which, at some point, I detect the collision between the ball and the paddle with something like this: // Ball class rectangle.Intersects(paddle.Rectangle); Is there any way I can get the exact coordinates of the collision, or any details about it, with the current XNA API? I thought of doing some basic calculations, such as comparing the exact coordinates of each object on the moment of the collision. It would look something like this: // Ball class if((rectangle.X - paddle.Rectangle.X) < (paddle.Rectangle.Width / 2)) // Collision happened on the left side else // Collision happened on the right side But I'm not sure this is the correct way to do it. Do you guys have any tips on maybe an engine I might have to use to achieve that? Or even good coding practices using this method?

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  • How to manage Areas/Levels in an RPG?

    - by Hexlan
    I'm working on an RPG and I'm trying to figure out how to manage the different levels/areas in the game. Currently I create a new state (source file) for every area, defining its unique aspects. My concern is that as the game grows the number of class files will become unmanageable with all the towns, houses, shops, dungeons, etc. that I need to keep track of. I would also prefer to separate my levels from the source code because non-programmer members of the team will be creating levels, and I would like the engine to be as free from game specific code as possible. I'm thinking of creating a class that provides all the functions that will be the same between all the levels/areas with a unique member variable that can be used to look up level specifics from data. This way I only need to define level/area once in the code, but can create multiple instances each with its own unique aspects provided by data. Is this a good way to go about solving the issue? Is there a better way to handle a growing number of levels?

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  • How to reference or connect a variable to another class without stack overflow?

    - by SystemNetworks
    I really need to re-arrange all my functions. I created a class. All my var, booleans, int, doubles and other things. I created every new variable so they can reference it and so they don't have an error. If your asking why I never just reference my main class vars to my sub-class becuase it will give me stack overflow! When in my main class i link my sub-class. subClass s = new subClass(); Then I reference my fake variable to my real variable for example: This is my sub-class variable(I call it fake) public int x = 0; In my main class, I put it like this: s.x = x; The problem is, it does not work! Maybe this is not the right place but I cant ask any questions on stack overflow because they banned me. If I connect my main class and connect my sub-class it will give me stack overflow. How do I stop it?

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  • Better way to go up/down slope based on yaw?

    - by CyanPrime
    Alright, so I got a bit of movement code and I'm thinking I'm going to need to manually input when to go up/down a slope. All I got to work with is the slope's normal, and vector, and My current and previous position, and my yaw. Is there a better way to rotate whether I go up or down the slope based on my yaw? Vector3f move = new Vector3f(0,0,0); move.x = (float)-Math.toDegrees(Math.cos(Math.toRadians(yaw))); move.z = (float)-Math.toDegrees(Math.sin(Math.toRadians(yaw))); move.normalise(); if(move.z < 0 && slopeNormal.z > 0 || move.z > 0 && slopeNormal.z < 0){ if(move.x < 0 && slopeNormal.x > 0 || move.x > 0 && slopeNormal.x < 0){ move.y += slopeVec.y; } } if(move.z > 0 && slopeNormal.z > 0 || move.z < 0 && slopeNormal.z < 0){ if(move.x > 0 && slopeNormal.x > 0 || move.x < 0 && slopeNormal.x < 0){ move.y -= slopeVec.y; } } move.scale(movementSpeed * delta); Vector3f.add(pos, move, pos);

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  • Why my collision detection is not accurate?

    - by optimisez
    After trying and trying, I still cannot understand why the leg of character exceeds the wall but no clipping issue when I hit the wall from below. How should I fix it to make him standstill on the wall? void initPlayer() { // Create texture. hr = D3DXCreateTextureFromFileEx(d3dDevice, "player.png", 169, 44, D3DX_DEFAULT, NULL, D3DFMT_A8R8G8B8, D3DPOOL_MANAGED, D3DX_DEFAULT, D3DX_DEFAULT, D3DCOLOR_XRGB(255, 255, 255), NULL, NULL, &player); playerRect.left = playerRect.top = 0; playerRect.right = 29; playerRect.bottom = 36; playerDest.X = 0; playerDest.Y = 564; playerDest.length = playerRect.right - playerRect.left; playerDest.height = playerRect.bottom - playerRect.top; } void initBox() { hr = D3DXCreateTextureFromFileEx(d3dDevice, "brock.png", 330, 132, D3DX_DEFAULT, NULL, D3DFMT_A8R8G8B8, D3DPOOL_MANAGED, D3DX_DEFAULT, D3DX_DEFAULT, D3DCOLOR_XRGB(255, 255, 255), NULL, NULL, &box); boxRect.left = 33; boxRect.top = 0; boxRect.right = 63; boxRect.bottom = 30; boxDest.X = boxDest.Y = 300; boxDest.length = boxRect.right - boxRect.left; boxDest.height = boxRect.bottom - boxRect.top; } bool spriteCollide(Entity player, Entity target) { float left1, left2; float right1, right2; float top1, top2; float bottom1, bottom2; left1 = player.X; left2 = target.X; right1 = player.X + player.length; right2 = target.X + target.length; top1 = player.Y; top2 = target.Y; bottom1 = player.Y + player.height; bottom2 = target.Y + target.height; if (bottom1 < top2) return false; if (top1 > bottom2) return false; if (right1 < left2) return false; if (left1 > right2) return false; return true; } void collideWithBox() { if ( spriteCollide(playerDest, boxDest) && keyArr[VK_UP]) //playerDest.Y += 50; playerDest.Y = boxDest.Y + boxDest.height; else if ( spriteCollide(playerDest, boxDest) && !keyArr[VK_UP]) playerDest.Y = boxDest.Y - boxDest.height; }

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  • Bouncing ball isssue

    - by user
    I am currently working on the 2D Bouncing ball physics that bounces the ball up and down. The physics behaviour works fine but at the end the velocity keep +3 then 0 non-stop even the ball has stopped bouncing. How should I modify the code to fix this issue? ballPos = D3DXVECTOR2( 50, 100 ); velocity = 0; accelaration = 3.0f; isBallUp = false; void GameClass::Update() { velocity += accelaration; ballPos.y += velocity; if ( ballPos.y >= 590 ) isBallUp = true; else isBallUp = false; if ( isBallUp ) { ballPos.y = 590; velocity *= -1; } // Graphics Rendering m_Graphics.BeginFrame(); ComposeFrame(); m_Graphics.EndFrame(); }

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  • Algorithm to simplify building/structural meshes

    - by morpheus
    I am looking for an algorithm to simplify the meshes of buildings or similar structures. EDIT: I had made a comment that Hoppe's algorithm tends to make meshes more and more spherical with simplification. But, I am not sure about it, so am deleting the comment. Buildings in contrast should tend to become more and more rectangular with increasing simplification. The D3DX extensions for D3D in version 9.0 (d3dx9.lib) used to have classes to do progressive mesh simplification. See: http://doc.51windows.net/Directx9_SDK/?url=/directx9_sdk/graphics/reference/d3dx/functions/mesh/d3dxgeneratepmesh.htm http://msdn.microsoft.com/en-us/library/windows/desktop/bb281243(v=vs.85).aspx

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  • Farseer Physics: Ways to create a Body?

    - by EdgarT
    I want to create something similar to this using farsser and Kinect: https://vimeo.com/33500649 This is my implementation until now: http://www.youtube.com/watch?v=GlIvJRhco4U I have the outline vertices and the triangulation of the user. And following the Texture to Polygonmsample i used this line to create the shape, where farseerObject is a list of vertices of the triangles: _compound = BodyFactory.CreateCompoundPolygon(World, farseerObject, 1f, BodyType.Dynamic); But I have to update the body each frame (like 30 fps) and this is very slow. I get just 2 or 3 fps. There's another (faster) way to create the Body from a list of triangles or the contour vertices?

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  • Extremely Hybrid Game requirements

    - by tugrul büyükisik
    What system specifications would a game need if it was: Total players per planet: ~20000 Total players per team:~1M Total players per map(small volume of space or small surface over a planet): ~2000 Total players: ~10M(world has more players than this amount i think) Two of the players are commanders of opposite quadrants(from HUD of a strategy game). Lots of players use space-crafts as a captain(like 3d fps and rts). Many many players control consoles in those space-crafts as under command of captains.(fps ) Some players are still in stone-age trying to reinvent wheel in some planet. Players design and construct any vehicles they have. With good physics engine Has puzzles inside. Everyone get experience by doing stuff(RPG). Commerce, income or totally different resource-based group(like starcraft) Player classes(primitive: cunning and strong, wrapped: healthy, wealthy) Arcade top-down style firing with ships when people get bored very low chance of miraculous things.(mediclorians, wormholes, bugs) Different game-modes: persistent(living world), resetted periodically(a new chance for noobs), instant(pre-built space + hack&slash) I suspect this would need 128GB ram and 2048 cores.

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  • Drag camera/view in a 3D world

    - by Dono
    I'm trying to make a Draggable view in a 3D world. Currently, I've made it using mouse position on the screen, but, when I move the distance traveled by my mouse is not equal to the distance traveled in the 3D world. So, I've tried to do that : Compute a ray from mouse position to 3D world. Calculate intersection with the ground. Check intersection difference old position <- new position. Translate camera with the difference. I've got a problem with this method: The ray is computed with the current camera's position I move the camera I compute the new ray with new camera position. The difference between old ray and new ray is now invalid. So, graphically my camera don't stop to move to previous/new position everytime. How can I do a draggable camera with another solution ? Thanks!

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  • AABB - AABB Collision, which face do I hit?

    - by PeeS
    To allow my objects to slide when they collide, I need to : Know which face of the AABB they collide with. Calculate the normal to that face. Return the normal and calculate the impulse that to apply to the player's velocity. Question How can I calculate which face of the AABB I collided with, knowing that I have two AABB's colliding? One is the player and the other is a world object. Here's what that looks like (problem collision circled in white): Thank you for your help.

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  • OOP implementation of BUFFS and Stats. Suggestion

    - by Mattia Manzo Manzati
    I am developing an MMORPG server using NodeJS. I am not sure how to implement Buffs, i mean, equipped objects or used skills have effects on the Player() which has many Stats(), some of them have a max cap... Effects can change the Stat value, increasing or decreasing it by a value, a percentage or completly rewrite the value of the stat. After a while I have decided to create a base class for buffs, which can be hidden (if they are casted from an equipped object) or shown if they came from an ability (Spell). Anyway I need suggestion how to implement it, use an array for all active buffs for a stat and have a function calculate the value of the stat affected by buffs each time I need the value of the stat or...? Other more OOP's ways to do it? I have read this What's a way to implement a flexible buff/debuff system? but this implements only a percentage system, which buffs can only say "+10%, +20%, etc...", but I would love to have an hybrid system, which can have percentage values or static values (like WoW does), and using modifiers it's hard to implement, because modifiers refers to the current value of stat :/ Thanks for suggestions :)

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  • proper way to creation multiple similiar buttons/panels

    - by JayAvon
    I have the below Code which i tried to do, but it only shows(the minus/plus button) on the last GirdLayout (Intelligence stat): JButton plusButton = new JButton("+"); JButton minusButton = new JButton("-"); statStrengthGridPanel = new JPanel(new GridLayout(1,3)); statStrengthGridPanel.add(minusButton); statStrengthGridPanel.add(new JLabel("10")); statStrengthGridPanel.add(plusButton); statConstitutionGridPanel = new JPanel(new GridLayout(1,3)); statConstitutionGridPanel.add(minusButton); statConstitutionGridPanel.add(new JLabel("10")); statConstitutionGridPanel.add(plusButton); statDexterityGridPanel = new JPanel(new GridLayout(1,3)); statDexterityGridPanel.add(minusButton); statDexterityGridPanel.add(new JLabel("10")); statDexterityGridPanel.add(plusButton); statIntelligenceGridPanel = new JPanel(new GridLayout(1,3)); statIntelligenceGridPanel.add(minusButton); statIntelligenceGridPanel.add(new JLabel("10")); statIntelligenceGridPanel.add(plusButton); I know I can do something like I did for the Panel names(have multiple ones), but I did not want to do that for the Panels in the first place. I am trying to use best practice and not have my code be repetitive. Any suggestions?? The goal is to have 4 stats, to assign points to, with decrement and increment buttons(I decided against sliders). Eventually I will have them have upper and lower limits, decrement the "unused" label, and all of that good stuff, but I just want to not be repetitive. Thanks for any help.

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  • Game Editor - When screen is clicked, how do you identify which object that is clicked?

    - by Deukalion
    I'm trying to create a Game Editor, currently just placing different types of Shapes and such. I'm doing this in Windows Forms while drawing the 3D with XNA. So, if I have a couple of Shapes on the screen and I click the screen I want to be able to identify "which" of these objects you clicked. What is the best method for this? Since having two objects one behind the other, it should be able to recognize the one in front and not the one behind it and also if I rotate the camera and click on the one behind it - it should identify it and not the first one. Are there any smart ways to go about this?

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  • LibGDX drawing map using tiles without space

    - by Enayat Muradi
    I am making a board game. To draw the map on the board I use different tiles. On some screen the map looks good but on some other screens there is a space between the tiles. How can I do so there won't be any space between the tiles? I am designing my game with the size 480x800. To fit other screens I stretch it. My tiles looks like this: I draw the map using a for loop to draw the tile in different (x,y) position on screen. Here is what I mean with space between tiles: Screen with 240x400 Screen with 360x600, here there is no spacing between tiles. I use camera and the screen to draw I don't use stage. I have also tried to use Viewport but I get the same results. cam = new OrthographicCamera();cam.setToOrtho(true, gameWidth, gameHeight); batcher = new SpriteBatch(); batcher.setProjectionMatrix(cam.combined); shapeRenderer = new ShapeRenderer(); shapeRenderer.setProjectionMatrix(cam.combined); How can I do to solve the problem?

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  • Android 2D terrain scrolling

    - by Nikola Ninkovic
    I want to make infinite 2D terrain based on my algorithm.Then I want to move it along Y axis (to the left) This is how I did it : public class Terrain { Queue<Integer> _bottom; Paint _paint; Bitmap _texture; Point _screen; int _numberOfColumns = 100; int _columnWidth = 20; public Terrain(int screenWidth, int screenHeight, Bitmap texture) { _bottom = new LinkedList<Integer>(); _screen = new Point(screenWidth, screenHeight); _numberOfColumns = screenWidth / 6; _columnWidth = screenWidth / _numberOfColumns; for(int i=0;i<=_numberOfColumns;i++) { // Generate terrain point and put it into _bottom queue } _paint = new Paint(); _paint.setStyle(Paint.Style.FILL); _paint.setShader(new BitmapShader(texture, Shader.TileMode.REPEAT, Shader.TileMode.REPEAT)); } public void update() { _bottom.remove(); // Algorithm calculates next point _bottom.add(nextPoint); } public void draw(Canvas canvas) { Iterator<Integer> i = _bottom.iterator(); int counter = 0; Path path = new Path(); path.moveTo(0, _screen.y); while (i.hasNext()) { path.lineTo(counter, _screen.y-i.next()); counter += _columnWidth; } path.lineTo(_screen.x, _screen.y); path.lineTo(0, _screen.y); canvas.drawPath(path2, _paint); } } The problem is that the game is too 'fast', so I tried with pausing thread with Thread.sleep(50); in run() method of my game thread but then it looks too torn. Well, is there any way to slow down drawing of my terrain ?

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  • Geometry Shader : points + Triangles

    - by CmasterG
    I have different Shaders and for each Shader a instance of the ShaderClass class, which initializes the Shaders, Renders the Shaders, etc. I use most of the Shaderclasses without Geometry Shader, but in one Shader Class i also use a Geometry Shader. The problem is, that when I render one object with the Shaderclass that uses the Geometry shader, all other object are rendered with the same geometry that I create in the Geometry Shader. Can you help me? Is it possible that I have to use a Geometry Shader for each object, when I use one for one object? I use DirectX 11 with C++.

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  • Image loaded from TGA texture isn't displayed correctly

    - by Ramy Al Zuhouri
    I have a TGA texture containing this image: The texture is 256x256. So I'm trying to load it and map it to a cube: #import <OpenGL/OpenGL.h> #import <GLUT/GLUT.h> #import <stdlib.h> #import <stdio.h> #import <assert.h> GLuint width=640, height=480; GLuint texture; const char* const filename= "/Users/ramy/Documents/C/OpenGL/Test/Test/texture.tga"; void init() { // Initialization glEnable(GL_DEPTH_TEST); glViewport(-500, -500, 1000, 1000); glMatrixMode(GL_PROJECTION); glLoadIdentity(); gluPerspective(45, width/(float)height, 1, 1000); glMatrixMode(GL_MODELVIEW); glLoadIdentity(); gluLookAt(0, 0, -100, 0, 0, 0, 0, 1, 0); // Texture char bitmap[256][256][3]; FILE* fp=fopen(filename, "r"); assert(fp); assert(fread(bitmap, 3*sizeof(char), 256*256, fp) == 256*256); fclose(fp); glGenTextures(1, &texture); glBindTexture(GL_TEXTURE_2D, texture); glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_MAG_FILTER, GL_LINEAR); glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_MIN_FILTER, GL_LINEAR); glTexImage2D(GL_TEXTURE_2D, 0, GL_RGB, 256, 256, 0, GL_RGB, GL_UNSIGNED_BYTE, bitmap); } void display() { glClearColor(0, 0, 0, 0); glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT); glEnable(GL_TEXTURE_2D); glBindTexture(GL_TEXTURE_2D, texture); glColor3ub(255, 255, 255); glBegin(GL_QUADS); glVertex3f(0, 0, 0); glTexCoord2f(0.0, 0.0); glVertex3f(40, 0, 0); glTexCoord2f(0.0, 1.0); glVertex3f(40, 40, 0); glTexCoord2f(1.0, 1.0); glVertex3f(0, 40, 0); glTexCoord2f(1.0, 0.0); glEnd(); glDisable(GL_TEXTURE_2D); glutSwapBuffers(); } int main(int argc, char** argv) { glutInit(&argc, argv); glutInitDisplayMode(GLUT_RGB | GLUT_DEPTH | GLUT_DOUBLE); glutInitWindowPosition(100, 100); glutInitWindowSize(width, height); glutCreateWindow(argv[0]); glutDisplayFunc(display); init(); glutMainLoop(); return 0; } But this is what I get when the window loads: So just half of the image is correctly displayed, and also with different colors.Then if I resize the window I get this: Magically the image seems to fix itself, even if the colors are wrong.Why?

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  • How can I draw crisp per-pixel images with OpenGL ES on Android?

    - by Qasim
    I have made many Android applications and games in Java before, however I am very new to OpenGL ES. Using guides online, I have made simple things in OpenGL ES, including a simple triangle and a cube. I would like to make a 2D game with OpenGL ES, but what I've been doing isn't working quite so well, as the images I draw aren't to scale, and no matter what guide I use, the image is always choppy and not the right size (I'm debugging on my Nexus S). How can I draw crisp, HD images to the screen with GL ES? Here is an example of what happens when I try to do it: And the actual image: Here is how my texture is created: //get id int id = -1; gl.glGenTextures(1, texture, 0); id = texture[0]; //get bitmap Bitmap bitmap = BitmapFactory.decodeResource(context.getResources(), R.drawable.ball); //parameters gl.glBindTexture(GL10.GL_TEXTURE_2D, id); gl.glTexParameterf(GL10.GL_TEXTURE_2D, GL10.GL_TEXTURE_MIN_FILTER, GL10.GL_NEAREST); gl.glTexParameterf(GL10.GL_TEXTURE_2D, GL10.GL_TEXTURE_MAG_FILTER, GL10.GL_LINEAR); gl.glTexParameterf(GL10.GL_TEXTURE_2D, GL10.GL_TEXTURE_WRAP_S, GL10.GL_CLAMP_TO_EDGE); gl.glTexParameterf(GL10.GL_TEXTURE_2D, GL10.GL_TEXTURE_WRAP_T, GL10.GL_CLAMP_TO_EDGE); gl.glTexEnvf(GL10.GL_TEXTURE_ENV, GL10.GL_TEXTURE_ENV_MODE, GL10.GL_REPLACE); GLUtils.texImage2D(GL10.GL_TEXTURE_2D, 0, bitmap, 0); //crop image mCropWorkspace[0] = 0; mCropWorkspace[1] = height; mCropWorkspace[2] = width; mCropWorkspace[3] = -height; ((GL11) gl).glTexParameteriv(GL10.GL_TEXTURE_2D, GL11Ext.GL_TEXTURE_CROP_RECT_OES, mCropWorkspace, 0);

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  • Path Modifier in Tower Of Defense Game

    - by Siddharth
    I implemented PathModifier for path of each enemy in my tower of defense game. So I applied fixed time to path modifier in that enemy complete their path. Like following code describe. new PathModifier(speed, path); Here speed define the time to complete the path. But in tower of defense game my problem is, there is a tower which slow down the movement of the enemy. In that particular situation I was stuck. please someone provide me some guidance what to do in this situation. EDIT : Path path = new Path(wayPointList.size()); for (int j = 0; j < wayPointList.size(); j++) { Point point = grid.getCellPoint(wayPointList.get(j).getRow(), wayPointList.get(j).getCol()); path.to(point.x, point.y); }

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  • Why do we use the Pythagorean theorem in game physics?

    - by Starkers
    I've recently learned that we use Pythagorean theorem a lot in our physics calculations and I'm afraid I don't really get the point. Here's an example from a book to make sure an object doesn't travel faster than a MAXIMUM_VELOCITY constant in the horizontal plane: MAXIMUM_VELOCITY = <any number>; SQUARED_MAXIMUM_VELOCITY = MAXIMUM_VELOCITY * MAXIMUM_VELOCITY; function animate(){ var squared_horizontal_velocity = (x_velocity * x_velocity) + (z_velocity * z_velocity); if( squared_horizontal_velocity <= SQUARED_MAXIMUM_VELOCITY ){ scalar = squared_horizontal_velocity / SQUARED_MAXIMUM_VELOCITY; x_velocity = x_velocity / scalar; z_velocity = x_velocity / scalar; } } Let's try this with some numbers: An object is attempting to move 5 units in x and 5 units in z. It should only be able to move 5 units horizontally in total! MAXIMUM_VELOCITY = 5; SQUARED_MAXIMUM_VELOCITY = 5 * 5; SQUARED_MAXIMUM_VELOCITY = 25; function animate(){ var x_velocity = 5; var z_velocity = 5; var squared_horizontal_velocity = (x_velocity * x_velocity) + (z_velocity * z_velocity); var squared_horizontal_velocity = 5 * 5 + 5 * 5; var squared_horizontal_velocity = 25 + 25; var squared_horizontal_velocity = 50; // if( squared_horizontal_velocity <= SQUARED_MAXIMUM_VELOCITY ){ if( 50 <= 25 ){ scalar = squared_horizontal_velocity / SQUARED_MAXIMUM_VELOCITY; scalar = 50 / 25; scalar = 2.0; x_velocity = x_velocity / scalar; x_velocity = 5 / 2.0; x_velocity = 2.5; z_velocity = z_velocity / scalar; z_velocity = 5 / 2.0; z_velocity = 2.5; // new_horizontal_velocity = x_velocity + z_velocity // new_horizontal_velocity = 2.5 + 2.5 // new_horizontal_velocity = 5 } } Now this works well, but we can do the same thing without Pythagoras: MAXIMUM_VELOCITY = 5; function animate(){ var x_velocity = 5; var z_velocity = 5; var horizontal_velocity = x_velocity + z_velocity; var horizontal_velocity = 5 + 5; var horizontal_velocity = 10; // if( horizontal_velocity >= MAXIMUM_VELOCITY ){ if( 10 >= 5 ){ scalar = horizontal_velocity / MAXIMUM_VELOCITY; scalar = 10 / 5; scalar = 2.0; x_velocity = x_velocity / scalar; x_velocity = 5 / 2.0; x_velocity = 2.5; z_velocity = z_velocity / scalar; z_velocity = 5 / 2.0; z_velocity = 2.5; // new_horizontal_velocity = x_velocity + z_velocity // new_horizontal_velocity = 2.5 + 2.5 // new_horizontal_velocity = 5 } } Benefits of doing it without Pythagoras: Less lines Within those lines, it's easier to read what's going on ...and it takes less time to compute, as there are less multiplications Seems to me like computers and humans get a better deal without Pythagorean theorem! However, I'm sure I'm wrong as I've seen Pythagoras' theorem in a number of reputable places, so I'd like someone to explain me the benefit of using Pythagorean theorem to a maths newbie. Does this have anything to do with unit vectors? To me a unit vector is when we normalize a vector and turn it into a fraction. We do this by dividing the vector by a larger constant. I'm not sure what constant it is. The total size of the graph? Anyway, because it's a fraction, I take it, a unit vector is basically a graph that can fit inside a 3D grid with the x-axis running from -1 to 1, z-axis running from -1 to 1, and the y-axis running from -1 to 1. That's literally everything I know about unit vectors... not much :P And I fail to see their usefulness. Also, we're not really creating a unit vector in the above examples. Should I be determining the scalar like this: // a mathematical work-around of my own invention. There may be a cleverer way to do this! I've also made up my own terms such as 'divisive_scalar' so don't bother googling var divisive_scalar = (squared_horizontal_velocity / SQUARED_MAXIMUM_VELOCITY); var divisive_scalar = ( 50 / 25 ); var divisive_scalar = 2; var multiplicative_scalar = (divisive_scalar / (2*divisive_scalar)); var multiplicative_scalar = (2 / (2*2)); var multiplicative_scalar = (2 / 4); var multiplicative_scalar = 0.5; x_velocity = x_velocity * multiplicative_scalar x_velocity = 5 * 0.5 x_velocity = 2.5 Again, I can't see why this is better, but it's more "unit-vector-y" because the multiplicative_scalar is a unit_vector? As you can see, I use words such as "unit-vector-y" so I'm really not a maths whiz! Also aware that unit vectors might have nothing to do with Pythagorean theorem so ignore all of this if I'm barking up the wrong tree. I'm a very visual person (3D modeller and concept artist by trade!) and I find diagrams and graphs really, really helpful so as many as humanely possible please!

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  • How can I make a 32 bit render target with a 16 bit alpha channel in DirectX?

    - by J Junker
    I want to create a render target that is 32-bit, with 16 bits each for alpha and luminance. The closest surface formats I can find in the DirectX SDK are: D3DFMT_A8L8 // 16-bit using 8 bits each for alpha and luminance. D3DFMT_G16R16F // 32-bit float format using 16 bits for the red channel and 16 bits for the green channel. But I don't think either of these will work, since D3DFMT_A8L8 doesn't have the precision and D3DFMT_G16R16F doesn't have an alpha channel (I need a separate blend state for alpha). How can I create a render target that allows a separate blend state for luminance and alpha, with 16 bit precision on each channel, that doesn't exceed 32 bits per pixel?

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  • How can I solve this SAT direct corner intersection edge case?

    - by ssb
    I have a working SAT implementation, but I am running into a problem where direct collisions at a corner do not work for tiled surfaces. That is, it clips on the surface when going in a certain direction because it gets hung up on one of the tiles, and so, for example, if I walk across a floor while holding both down and left, the player will stop when meeting the next shape because the player will be colliding with the right side rather than with the top of the floor tile. This illustration shows what I mean: The top block will translate right first and then up. I have checked here and here which are helpful, but this does not address what I should do in a situation where I don't have a tile-based world. My usage of the term "tile" before isn't really accurate since what I'm doing here is manually placing square obstacles next to each other, not assigning them spots on a grid. What can I do to fix this?

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