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• Any learning/studying material for C/C++ that use game programming as learning context out there?

  - by mac

  As most of game programming is done - I read on this very site - in C/C++ I was wondering if there is any learning/studying material for C/C++ that would target specifically game programming. I am not looking for material about "developing games" or "software architecture for games", but rather for material that uses "game programming" as the CONTEXT for introducing and illustrating C/C++ features, idioms, programming techniques, etc... With a simile: think to the GOF book on design patterns. There, they used "developing a text-editor" as a context for introducing design patterns, but the book is most definitively not a book about "developing text-editors". Thanks in advance for your time and advice! PS: My background: I am a programmer with a solid experience in OO scripting languages and only some experience in C and Assembler (on AVR microcontrollers), so I am thinking to mid-to-advanced level material, rather than tutorials for beginners, although it might be interesting to take a look to the latter ones if nothing else is available.

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• Opengl + SDL linking error

  - by me2loveit2

  I am trying to load an image as a texture with opengl using c++ in visual studio 2010. I researched a couple hours online and found the SDL library, then I implemented a simple example and got some linking error I can not seem to figure out. The error log is here: 1Build started 10/20/2012 12:09:17 AM. 1InitializeBuildStatus: 1 Touching "Debug\texture mapping test.unsuccessfulbuild". 1ClCompile: 1 All outputs are up-to-date. 1 texture mapping test.cpp 1ManifestResourceCompile: 1 All outputs are up-to-date. 1texture mapping test.obj : error LNK2019: unresolved external symbol _IMG_Load referenced in function "void __cdecl display(void)" (?display@@YAXXZ) 1MSVCRTD.lib(crtexe.obj) : error LNK2019: unresolved external symbol main referenced in function __tmainCRTStartup 1C:\Users\Me\Documents\Visual Studio 2010\Projects\Programming projects\texture mapping test\Debug\texture mapping test.exe : fatal error LNK1120: 2 unresolved externals 1 1Build FAILED. 1 1Time Elapsed 00:00:02.45 ========== Build: 0 succeeded, 1 failed, 0 up-to-date, 0 skipped ========== Can someone please help me!! I am at a desperate point right now. I downloaded the SDL, and copied all the .h file into: C:\Program Files (x86)\Microsoft SDKs\Windows\v7.0A\Include I added the .lib (x86) files into://as a not i tried the (x64) file too but got the exact same error C:\Program Files (x86)\Microsoft SDKs\Windows\v7.0A\Lib and the .dll(x86) into: C:\Windows\System32 For implementing textures, I used the simple sample code from: http://www.sdltutorials.com/sdl-tip-sdl-surface-to-opengl-texture Please let me know if you can see me doing something wrong, or know how I can fix this!! Thanks Phil

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• Remove enemy when bullet hits enemy

  - by jordi12100

  For my education I have to make a basic game in HTML5 canvas. The game is a shooter game. When you can move left - right and space is shoot. When I shoot the bullets will move up. The enemy moves down. When the bullet hits the enemy the enemy has to dissapear and it will gain +1 score. But the enemy will dissapear after it comes up the screen. Demo: http://jordikroon.nl/test.html space = shoot + enemy shows up This is my code: for (i=0;i<enemyX.length;i++) { if(enemyX[i] > canvas.height) { enemyY.splice(i,1); enemyX.splice(i,1); } else { enemyY[i] += 5; moveEnemy(enemyX[i],enemyY[i]); } } for (i=0;i<bulletX.length;i++) { if(bulletY[i] < 0) { bulletY.splice(i,1); bulletX.splice(i,1); } else { bulletY[i] -= 5; moveBullet(bulletX[i],bulletY[i]); for (ib=0;ib<enemyX.length;ib++) { if(bulletX[i] + 50 < enemyX[ib] || enemyX[ib] + 50 < bulletX[i] || bulletY[i] + 50 < enemyY[ib] || enemyY[ib] + 50 < bulletY[i]) { ++score; enemyY.splice(i,1); enemyX.splice(i,1); } } } } Objects: function moveBullet(posX,posY) { //console.log(posY); ctx.arc(posX, (posY-150), 10, 0 , 2 * Math.PI, false); } function moveEnemy(posX,posY) { ctx.rect(posX, posY, 50, 50); ctx.fillStyle = '#ffffff'; ctx.fill(); }

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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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• Rain drops on screen

  - by user1075940

  I am trying to make simple rain drop effect on screen.Something like this http://fc00.deviantart.net/fs20/f/2007/302/5/6/Rain_drops_by_rockraikar.png My idea is to: Create small drop shaped normal textures,randomly put few on screen,apply texture perturbation and mix with current frame pixels. Here are my questions: -Does this idea even have sense?How professionals do this effect?Everything from text to code will be appreciated -How to pass pixels to shader of already rendered frame?

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• what is the easiest way to make a hitbox that rotates with it's texture

  - by Matthew Optional Meehan

  In xna when you have a sprite that doesnt rotate it's very easy to get the four corner of a sprite to make a hitbox, but when you do a rotation the points get moved and I assume there is some kind of math that I can use to aquire them. I am using the four points to draw a rectangle that visually represents the hitboxes. I have seen some per-pixel collission examples but I can forsee they would be hard to draw a box/'convex hull' around. I have also seen physics like farseer but I'm not sure if there is a quick tutorial to do what I want. What do you guys think is the best approach becuase I am looking to complete this work by the end of the week.

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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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• Where have the Direct3D 11 tutorials on MSDN have gone?

  - by Cam Jackson

  I've had this tutorial bookmarked for ages. I've just decided to give DX11 a real go, so I've gone through that tutorial, but I can't find where the next one in the series is! There are no links from that page to either the next in the series, or back up to the table of contents that lists all of the tutorials. These are just companion tutorials to the samples that come with the SDK, but I find them very helpful. Searching MSDN from google and the MSDN Bing search box has turned up nothing, it's like they've removed all links to these tutorials, but the pages are still there if you have the URLs. Unfortunately, MSDN URLs are akin to youtube URLs, so I can't just guess the URL of the next tutorial. Anyone have any idea what happened to these tutorials, or how I can find the others?

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• Efficient way to render tile-based map in Java

  - by Lucius

  Some time ago I posted here because I was having some memory issues with a game I'm working on. That has been pretty much solved thanks to some suggestions here, so I decided to come back with another problem I'm having. Basically, I feel that too much of the CPU is being used when rendering the map. I have a Core i5-2500 processor and when running the game, the CPU usage is about 35% - and I can't accept that that's just how it has to be. This is how I'm going about rendering the map: I have the X and Y coordinates of the player, so I'm not drawing the whole map, just the visible portion of it; The number of visible tiles on screen varies according to the resolution chosen by the player (the CPU usage is 35% here when playing at a resolution of 1440x900); If the tile is "empty", I just skip drawing it (this didn't visibly lower the CPU usage, but reduced the drawing time in about 20ms); The map is composed of 5 layers - for more details; The tiles are 32x32 pixels; And just to be on the safe side, I'll post the code for drawing the game here, although it's as messy and unreadable as it can be T_T (I'll try to make it a little readable) private void drawGame(Graphics2D g2d){ //Width and Height of the visible portion of the map (not of the screen) int visionWidht = visibleCols * TILE_SIZE; int visionHeight = visibleRows * TILE_SIZE; //Since the map can be smaller than the screen, I center it just to be sure int xAdjust = (getWidth() - visionWidht) / 2; int yAdjust = (getHeight() - visionHeight) / 2; //This "deducedX" thing is to move the map a few pixels horizontally, since the player moves by pixels and not full tiles int playerDrawX = listOfCharacters.get(0).getX(); int deducedX = 0; if (listOfCharacters.get(0).currentCol() - visibleCols / 2 >= 0) { playerDrawX = visibleCols / 2 * TILE_SIZE; map_draw_col = listOfCharacters.get(0).currentCol() - visibleCols / 2; deducedX = listOfCharacters.get(0).getXCol(); } //"deducedY" is the same deal as "deducedX", but vertically int playerDrawY = listOfCharacters.get(0).getY(); int deducedY = 0; if (listOfCharacters.get(0).currentRow() - visibleRows / 2 >= 0) { playerDrawY = visibleRows / 2 * TILE_SIZE; map_draw_row = listOfCharacters.get(0).currentRow() - visibleRows / 2; deducedY = listOfCharacters.get(0).getYRow(); } int max_cols = visibleCols + map_draw_col; if (max_cols >= map.getCols()) { max_cols = map.getCols() - 1; deducedX = 0; map_draw_col = max_cols - visibleCols + 1; playerDrawX = listOfCharacters.get(0).getX() - map_draw_col * TILE_SIZE; } int max_rows = visibleRows + map_draw_row; if (max_rows >= map.getRows()) { max_rows = map.getRows() - 1; deducedY = 0; map_draw_row = max_rows - visibleRows + 1; playerDrawY = listOfCharacters.get(0).getY() - map_draw_row * TILE_SIZE; } //map_draw_row and map_draw_col representes the coordinate of the upper left tile on the screen //iterate through all the tiles on screen and draw them - this is what consumes most of the CPU for (int col = map_draw_col; col <= max_cols; col++) { for (int row = map_draw_row; row <= max_rows; row++) { Tile[] tiles = map.getTiles(col, row); for(int layer = 0; layer < tiles.length; layer++){ Tile currentTile = tiles[layer]; boolean shouldDraw = true; //I only draw the tile if it exists and is not empty (id=-1) if(currentTile != null && currentTile.getId() >= 0){ //The layers above 1 can be draw behing or infront of the player according to where it's standing if(layer > 1 && currentTile.getId() >= 0){ if(playerBehind(col, row, layer, listOfCharacters.get(0))){ behinds.get(0).add(new int[]{col, row}); //the tiles that are infront of the player wont be draw right now shouldDraw = false; } } if(shouldDraw){ g2d.drawImage( tiles[layer].getImage(), (col-map_draw_col)*TILE_SIZE - deducedX + xAdjust, (row-map_draw_row)*TILE_SIZE - deducedY + yAdjust, null); } } } } } } There's some more code in this method but nothing relevant to this question. Basically, the biggest problem is that I iterate over around 5000 tiles (in this specific resolution) 60 times each second. I thought about rendering the visible portion of the map once and storing it into a BufferedImage and when the player moved move the whole image the same amount but to the opposite side and then drawn the tiles that appeared on the screen, but if I do it like that, I wont be able to have animated tiles (at least I think). That being said, any suggestions?

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• How to create games with scrolling?

  - by Chandan Shetty SP

  In games like city story or we farm how do they implement scrolling? To do scrolling using UIScrollView the EAGLView size has to be bigger. In those games EAGLView size look like more than 1024*1024. But there is limitation in viewport size in iphone devices(in 3G iphone max is 1024). I played those games in 3G iphone they are working fine. Any idea how they implemented their scrolling mechanism?

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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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• Why does Unity in 2d mode employ scaling and the default othographic size the way it does?

  - by Neophyte

  I previously used SFML, XNA, Monogame, etc to create 2d games, where if I display a 100px sprite on the screen, it will take up 100px. If I use 128px tiles to create a background, the first tile will be at (0,0) while the second will be at (129,0). Unity on the other hand, has its own odd unit system, scaling on all transforms, pixel-to-units, othographic size, etc etc. So my question is two-fold, namely: Why does Unity have this system by default for 2d? Is it for mobile dev? Is there a big benefit I'm not seeing? How can I setup my environment, so that if I have a 128x128 sprite in Photoshop, it displays as a 128x128 sprite in Unity when I run my game? Note that I am targeting desktop exclusively.

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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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• Possible to draw a select portion of a render target? (in XNA)

  - by TheBroodian

  I'm going to try to do this in reverse fashion and skip straight to the punch line, and then give the back story afterward: Is it possible to, after drawing a scene to a RenderTarget2D, only draw a select portion of the RenderTarget2D, if I don't want the entire thing? I'm using xTile to manage world data in my game (it's a great piece of work, colinvella [xTile's author] has made an amazing product), and for the most part it works great. xTile supports parallax effects in its layers to add some wonderful depth to 2d scenes, which was great, until I implemented a dynamic split-screen system into my game. Wanted to make a co-op game that wouldn't require players to be in close proximity to each other, so I made it so that if the players separate too far apart, the singular full-screen viewport 'snaps-apart', and is replaced by two split-screen viewports, which then smoothly transition to their respective player targets. The effect is pretty smooth aside from the part where the parallax backgrounds become skewed once the viewports split, because xTile's ratio for handling parallax effects is dependent upon viewport size. This is unfortunate, because the effect would otherwise be really snazzy, but the backgrounds become pretty heavily affected when the game goes from single-viewport to multi-viewport. So, Colinvella suggests using rendertargets to record the scene at full viewport size, and then only drawing a portion of it. But as far as I can tell, that isn't even possible? That being said, I've never even used render targets before, so I'm still learning, hence the question here.

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• Give me some Links which provides Tutorial related to iphone samples code and pdf ebooks.

  - by Ankit Vyas

  Hi!I am new in the iphone Development.I want some useful blogs,pdf files,urls,Tutorials address etc..whatever gives me the information about iphone Development hints.please give me some reference regarding iphone Development...Thanks in Advance...

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• Why is this 8 puzzle unsolvable?

  - by Ashwin

  I am developing a 8 puzzle game. I went through the rules in this (see Detecting Unsolvable Puzzles) link, which tell you how to detect if an initial state is unsolvable. It says that if the number of inversions is odd, then the goal state cannot be reached and if even the goal state can be reached. Inversion is defined as Given a board, an inversion is any pair of blocks i and j where i < j but i appears after j when considering the board in row-major order (row 0, followed by row 1, and so forth). There is a 8-puzzle solver(applet) here. Choose 8-puzzle from the options. 1,0,3,2,4,5,6,7,8 and 7,0,2,8,5,3,6,4,1 As you can see both of them contain an even number of inversions. Still the program says that the puzzle is unsolvable. So is the Princeton link wrong?

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• How should I model an economy-based game in code?

  - by Matthew G.

  I'd like to create an economy game based on an ancient civilization. I'm not sure how to design it. If I were working on a smaller game, like a copy of "Space Invaders," I'd have no problem structuring it like this: Main Control Class Graphics Class Player Class Enemy class I don't understand how I'd do this for larger projects like my economy game. Do I create a country class that contains a bunch of towns? Do the towns contain a lot building class, most contain classes of people? Do I make a path finding class that the player can access to get around?

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• How can I simulate a rigid body bounced from a wall in 3D world?

  - by HyperGroups

  How can I simulate a rigid sword bounced from a wall and hit the ground (like in physical world)? I want to use this for a simple animation. I can detect the figure and the size of the sword (maybe needed in doing bounce). Rotation can be controlled by quaternions/matrix/euler angles. It should turn the head and do rotations and fly to the ground. How can I simulate this physical process? Maybe what I need is an equation and some parameters? I need these data, and would combine them into my movie file, I use Mathematica to do the thing that generate the movie file(If I have the data, I can also export it into a 3DSMax script for example).

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• Could someone explain in detail simplex /or perlin noise?

  - by Ryan Szemplinski

  I am really interested in perlin/simplex noise but I am having a difficult time understanding it. I am not very good at math but I am willing to learn because it interests me greatly. If someone is willing to dedicate there time into this I would be immensely appreciative of this. To be more concise, an explanation of functions and some calculation inside the functions would be nice to understand. Thanks in advance!

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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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• 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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• 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 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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