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  • Develop 3d game for iphone & android in single code

    - by lajpat
    I have to make a 3d game on the lines of this app 3D Chess I want to make this app for both android & iphone by writing a single code. Of course little native code will be required to be done. I want to ensure that entire logic & animation code is written only once. What software does one suggest to achieve this since I am not a tight schedule. I came across Corona but I am not sure if such game can be made using it. Others I found Unity & Shiva. I am not experience in 3D game so please if someone can help Thanks Lajpat

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  • Regulating how much to draw based on how much was drawn last frame.

    - by Mike Howard
    I have a 3D game world on an iPhone (limited graphics speed), and I'm already regulating whether I draw each shape on the screen based on it's size and distance from the camera. Something like... if (how_big_it_looks_from_the_camera > constant) then draw What I want to do now is also take into account how many shapes are being drawn, so that in busier areas of the game world I can draw less than I otherwise would. I tried to do this by dividing how_big_it_looks by the number of shapes that were drawn last frame (well, the square root of this but I'm simplifying - the problem is the same). if (how_big_it_looks / shapes_drawn > constant2) then draw But the check happens at the level of objects which represent many drawn shapes, and if an object containing many shapes is switched on, it increases shapes_drawn lots and switches itself back off the next frame. It flickers on and off. I tried keeping a kind of weighted average of previous values, by each frame doing something like shapes_drawn_recently = 0.9 * shapes_drawn_recently + 0.1 * shapes_just_drawn, but of course it only slows the flickering down because of the nature of the feedback loop. Is there a good way of solving this? My project is in Objective-C, but a general algorithm or pseudo-code is good too. Thanks.

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  • Speed up lighting in deferred shading

    - by kochol
    I implemented a simple deferred shading renderer. I use 3 G-Buffer for storing position (R32F), normal (G16R16F) and albedo (ARGB8). I use sphere map algorithm to store normals in world space. Currently I use inverse of view * projection matrix to calculate the position of each pixel from stored depth value. First I want to avoid per pixel matrix multiplication for calculating the position. Is there another way to store and calculate position in G-Buffer without the need of matrix multiplication Store the normal in view space Every lighting in my engine is in world space and I want do the lighting in view space to speed up my lighting pass. I want an optimized lighting pass for my deferred engine.

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  • Direct2D Transform

    - by James
    I have a beginner question about Direct2D transforms. I have a 20 x 10 bitmap that I would like to draw in different orientations. To start, I would like to draw it vertically with a destination rectangle of say: (left, top, right, bottom) (300, 300, 310, 320) The bitmap is wider than it is tall (20 x 10), but when I draw it vertically, it will be appear taller than it is wide (10 x 20). I know that I can use a rotation matrix like so: m_pRenderTarget->SetTransform( D2D1::Matrix3x2F::Rotation( 90.0f, D2D1::Point2F(<center of shape>)) ); But when I use this method to rotate my shape, the destination rectangle is still wider than it is tall. Maybe it would look something like this: (left, top, right, bottom) (280, 290, 300, 300) The destination rectangle is 20 x 10 but the bitmap appears on the screen as 10 x 20. I can't look at the destination rectangle in the debugger and compare it to: (left, top, right, bottom) (300, 300, 310, 320) Is there any simple way to say "I want to rotate it so that the image is rendered to exactly this destination rectangle after the rotation?" In this case, I would like to say "Please rotate the bitmap so that it appears on the screen at this location:" (left, top, right, bottom) (300, 300, 310, 320) If I can't do that, is there any way to find out the 10 x 20 destination rectangle where the bitmap is actually being rendered to the screen?

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  • Moving a body in a specific direction using XNA with Farseer Physics

    - by Code Assasssin
    I have a custom polygon attached to a body, which looks like this: What I am trying to accomplish is getting the body to move according to wherever the tip of the body is. So far this is what I've tried: if (ks.IsKeyDown(Keys.Up)) { body.ApplyForce(new Vector2(0, -20),body.GetLocalPoint(new Vector2(0,0))); } if (ks.IsKeyDown(Keys.Left)) { body.ApplyTorque(-500); } if (ks.IsKeyDown(Keys.Right)) { body.ApplyTorque(500); } The body rotates fine - but when I try making the body accelerate according to the tip of the body - assuming I have specified the tip correctly(I am pretty sure I haven't), it just spins around, as if I have applied Torque to it. Can anyone point me in the right direction of how to fix this problem?

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  • Character movement on a 2D tile map

    - by Chris Morris
    I'm working at making a HTML5 game. Top down, closest thing I can equate it to is the gameboy zeldas, but open world and no rooms. What I have so far is a procedurally generated map in a multi dimensional array. And a starting position on the map. Along with this I have an array of movable and non movable tile ID's. I also have a class for my player and have him being rendered out in the center of the starting tile. My problem however is getting the movement sorted out for the player. I want to be able to have the character free move around the map (pixel by pixel essentially) ontop of this 2D generated world. Ideally this would allow the user to move around the walk able area of the canvas. this is simple enough for me to do, but I am having problems now moving the world. If the user is 20% from the edge of the screen i want the world to start panning in the direction the player is heading. But I'm rather lacking in ideas of how to do this. I've looked around for some tutorials, but am coming up blank on ideas of how to generate the playable area (zoomed in) and to then move this generated area under the player when they reach near the end of the screen. My current idea was to generate a certain amount of tiles full size to fill the screen and place the player i the middle. Then when the user approaches the edge of the screen start generating the tiles offset by the distance moved and the direction. I can kind of see this working but I really have no idea if this is the best or easiest to code of methods for generating the world. sorry for the lack of code but I'm still just in the theory stages of working this all out.

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  • XNA 4.0 SpriteFont not displaying all Characters

    - by Iain Brown
    Am looking for a little help and trying to use SpriteFont in my XNA 4.0 game but the problem is am displaying to string "This is a test" but all that's displayed on the screen is "This is st" so the "a te" are missing from the screen. The space is there for the characters but the letters are not. The code am using is: spriteBatch.Begin(SpriteSortMode.BackToFront, BlendState.AlphaBlend); spriteBatch.DrawString(font,"this is a test",new Vector2(692,372),Color.White); spriteBatch.Draw(texture,new Rectangle(0,0,100,100),Color.White); spriteBatch.End(); Any help with this would be great!

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  • Automatically zoom out the camera to show all players

    - by user36159
    I am building a game in XNA that takes place in a rectangular arena. The game is multiplayer and each player may go where they like within the arena. The camera is a perspective camera that looks directly downwards. The camera should be automatically repositioned based on the game state. Currently, the xy position is a weighted sum of the xy positions of important entities. I would like the camera's z position to be calculated from the xy coordinates so that it zooms out to the point where all important entities are visible. My current approach is to: hw = the greatest x distance from the camera to an important entity hh = the greatest y distance from the camera to an important entity Calculate z = max(hw / tan(FoVx), hh / tan(FoVy)) My code seems to almost work as it should, but the resulting z values are always too low by a factor of about 4. Any ideas?

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  • Slick2d Spritesheet showing whole image

    - by BotskoNet
    I'm trying to show a single subimage from a sprite sheet. Using slick2d SpriteSheet class, all it's doing is showing me the entire image, but scaled down to fit the cell dimensions. The image is 96x192 and should have cells of 32x32. The code: SpriteSheet spriteSheet = new SpriteSheet("images/"+file, 32, 32 ); System.out.println("Horiz Count: " + spriteSheet.getHorizontalCount()); System.out.println("Vert Count: " + spriteSheet.getVerticalCount()); System.out.println("Height: " + spriteSheet.getHeight()); System.out.println("Width: " + spriteSheet.getWidth()); System.out.println("Texture Width: " + spriteSheet.getTextureWidth()); System.out.println("Texture Height: " + spriteSheet.getTextureHeight()); Prints: Horiz Count: 3 Vert Count: 6 Height: 192 Width: 96 Texture Width: 0.75 Texture Height: 0.75 Not sure what the texture dimensions refer to, but the rest is entirely accurate. However, when I draw the icon, the entire sprite image shows scaled down to 32x32: Image image = spriteSheet.getSprite(1, 0); // a test image.bind(); GL11.glEnable(GL11.GL_BLEND); GL11.glBlendFunc(GL11.GL_SRC_ALPHA, GL11.GL_ONE_MINUS_SRC_ALPHA); GL11.glBegin(GL11.GL_QUADS); GL11.glTexCoord2f(0,0); GL11.glVertex2f(x,y); GL11.glTexCoord2f(1,0); GL11.glVertex2f(x+image.getWidth(),y); GL11.glTexCoord2f(1,1); GL11.glVertex2f(x+image.getWidth(),y+image.getHeight()); GL11.glTexCoord2f(0,1); GL11.glVertex2f(x,y+image.getHeight()); GL11.glEnd(); GL11.glDisable(GL11.GL_BLEND);

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  • Unreal 3 Editor (Unreal Tournament 3) Why does the X Y Z translations now rotate along with my static meshes?

    - by Gareth Jones
    So I was making a map for UT3, using the Unreal 3 Editor provided, and all was going well. However I was doing some work with InterpActors and Vehicle Spawners, when I must have hit a key by mistake (or other wise somehow changed something) by mistake. Now the X Y Z translations that are used to move objects around in the editor will rotate along with the object (Ive put images down below to help show what I mean) - This is very annoying because it also changes the direction the arrow keys move a rotated object, in the example below, the Down arrow key will now move the object to the right. How can I fix this? (Note both images are taken from the same viewpoint) Before Rotation: After Rotation: P.S. If someone could please provide me with the correct / better name for the X Y Z "things" it would be much appreciated, thanks!

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  • box2d resize bodies arround point

    - by philipp
    I have a compound object, consisting of a b2Body, vector-graphics and a list polygons which describe the b2body's shapes. This object has its own transformation matrix to centralize the storage of transformations. So far everything is working quiet fine, even scaling works, but not if i scale around a point. In the initialization phase of the object it is scaled around a point. This happens in this order: transform the main matrix transform the vector graphics and the polygons recreate the b2Body After this function ran, the shapes and all the graphics are exactly where they should be, BUT: after the first steps of the b2World the graphical stuff moves away from the body. When I ran the debugger I found out that the position of the body is 0/0 the red dot shows the center of scaling. the first image shows the basic setup and the second the final position of the graphics. This distance stays constant for the rest of the simulation. If I set the position via myBody.SetPosition( sx, sy ); the whole scenario just plays a bit more distant for the origin. Any Idea how to fix this? EDIT:: I came deeper down to the problem and it lies in the fact that i must not scale the transform matrix for the b2body shapes around the center, but set the b2body's position back to the point after scaling. But how can I calculate that point? EDIT 2 :: I came ever deeper down to it, even solved it, but this is a slow solution and i hope that there is somebody who understands what formula I need. assuming to have a set polygons relative to an origin as basis shapes for a b2body: scaling the whole object around a certain point is done in the following steps: i scale everything around the center except the polygons i create a clone of the polygons matrix i scale this clone around the point i calculate dx, dy as difference of clone.tx - original.tx and clone.ty - original.ty i scale the original polygon matrix NOT around the point i recreate the body i create the fixture i set the position of the body to dx and dy done! So what i an interested in is a formula for dx and dy without cloning matrices, scaling the clone around a point, getting dx and dy and finally scale the vertex matrix.

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  • Method for spawning enemies according to player score and game time

    - by Sun
    I'm making a top-down shooter and want to scale the difficulty of the game according to what the score is and how much time has Passed. Along with this, I want to spawn enemies in different patterns and increase the intervals at which these enemies are shown. I'm going for a similar effect to Geometry wars. However, I can think of a to do this other than have multiple if-else statments, e.g. : if (score > 1000) { //spawn x amount if enemies } else if (score > 10000) { //spawn x amount of enemy type 1 & 2 } else if (score > 15000) { //spawn x amount of enemy type 1 & 2 & 3 } else if (score > 25000) { //spawn x amount of enemy type 1 & 2 & 3 //create patterns with enemies } ...etc What would be a better method of spawning enemies as I have described?

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  • Lwjgl or opengl double pixels

    - by Philippe Paré
    I'm working in java with LWJGL and trying to double all my pixels. I'm trying to draw in an area of 800x450 and then stretch all the frame image to the complete 1600x900 pixels without them getting blured. I can't figure out how to do that in java, everything I find is in c++... A hint would be great! Thanks a lot. EDIT : I've tried drawing to a texture created in opengl by setting it to the framebuffer, but I can't find a way to use glGenTextures() in java... so this is not working... also I though about using a shader but I would not be able to draw only in the smaller region...

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  • Tools for creating assets? [closed]

    - by Agent_9191
    There are similar questions about finding existing resources that are free for use (free sprites/images, music, sound), but I'm interested in creating the resources myself. What tools do you use for asset creation/modification? Please only put one tool per answer. Also try to include the following information: Product Name Link to website Type of assets is can create (2D images, 3D images, audio, etc) OS(s) supported Cost License (if free/open source) General summary

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  • Using copyrighted sprites

    - by Zertalx
    I was thinking about making a pacman clone, I know there is a similar question here Using Copyrighted Images , but I know i can't use the original art from the game because it belongs to Namco, so if I design a character that has the shape of the slice circle it will look exactly like pacman, maybe if I use green instead of yellow? Also if the game plays like the original pacman, it is wrong? I just want to make the game as a personal project and and publish it in my site without getting in trouble

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  • Register Game Object Components in Game Subsystems? (Component-based Game Object design)

    - by topright
    I'm creating a component-based game object system. Some tips: GameObject is simply a list of Components. There are GameSubsystems. For example, rendering, physics etc. Each GameSubsystem contains pointers to some of Components. GameSubsystem is a very powerful and flexible abstraction: it represents any slice (or aspect) of the game world. There is a need in a mechanism of registering Components in GameSubsystems (when GameObject is created and composed). There are 4 approaches: 1: Chain of responsibility pattern. Every Component is offered to every GameSubsystem. GameSubsystem makes a decision which Components to register (and how to organize them). For example, GameSubsystemRender can register Renderable Components. pro. Components know nothing about how they are used. Low coupling. A. We can add new GameSubsystem. For example, let's add GameSubsystemTitles that registers all ComponentTitle and guarantees that every title is unique and provides interface to quering objects by title. Of course, ComponentTitle should not be rewrited or inherited in this case. B. We can reorganize existing GameSubsystems. For example, GameSubsystemAudio, GameSubsystemRender, GameSubsystemParticleEmmiter can be merged into GameSubsystemSpatial (to place all audio, emmiter, render Components in the same hierarchy and use parent-relative transforms). con. Every-to-every check. Very innefficient. con. Subsystems know about Components. 2: Each Subsystem searches for Components of specific types. pro. Better performance than in Approach 1. con. Subsystems still know about Components. 3: Component registers itself in GameSubsystem(s). We know at compile-time that there is a GameSubsystemRenderer, so let's ComponentImageRender will call something like GameSubsystemRenderer::register(ComponentRenderBase*). pro. Performance. No unnecessary checks as in Approach 1. con. Components are badly coupled with GameSubsystems. 4: Mediator pattern. GameState (that contains GameSubsystems) can implement registerComponent(Component*). pro. Components and GameSubystems know nothing about each other. con. In C++ it would look like ugly and slow typeid-switch. Questions: Which approach is better and mostly used in component-based design? What Practice says? Any suggestions about implementation of Approach 4? Thank you.

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  • Calculate gears rotation for a realtime simulation

    - by nkint
    Hi I'm trying to do a game with real time simulations of gears. There is a big Gear with inside a smaller gear. I managed to draw gears with different diameters but equal size teeth, but if i try to move the smaller one inside the bigger one the movement is odd. see the animated gif. the biggest gear is in center C1 and the small in the center C2. I calculate C2 position in this way: C2.x = C1.x + C1_RADIUS-C2_RADIUS) * cos(t); C2.y = C1.y - C1_RADIUS-C2_RADIUS) * sin(t); for t that goes from 0 to TWO_PI in n steps. I apply as rotation the angle t, but maybe it is wrong and i have to calculate another rotation for get a perfect joint

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  • Sprites rendering blurry with velocity

    - by ashes999
    After adding velocity to my game, I feel like my textures are twitching. I thought it was just my eyes, until I finally captured it in a screenshot: The one on the left is what renders in my game; the one on the right is the original sprite, pasted over. (This is a screenshot from Photoshop, zoomed in 6x.) Notice the edges are aliasing -- it looks almost like sub-pixel rendering. In fact, if I had not forced my sprites (which have position and velocity as ints) to draw using integer values, I would swear that MonoGame is drawing with floating point values. But it isn't. What could be the cause of these things appearing blurry? It doesn't happen without velocity applied. To be precise, my SpriteComponent class has a Vector2 Position field. When I call Draw, I essentially use new Vector2((int)Math.Round(this.Position.X), (int)Math.Round(this.Position.Y)) for the position. I had a bug before where even stationary objects would jitter -- that was due to me using the straight Position vector and not rounding the values to ints. If I use Floor/Ceiling instead of round, the sprite sinks/hovers (one pixel difference either way) but still draws blurry.

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  • Using Google App Engine to Perform World Updates vs an Authoritative Server

    - by Error 454
    I am considering different game server architectures that use GAE. The types of games I am considering are turn-based where the world status would need to be updated about once per minute. I am looking for an answer that persuades me to either perform the world update on the google servers OR an authoritative server that syncs with the datastore. The main goal here would be to minimize GAE daily quotas. For some rough numbers, I am assuming 10,000 entities requiring updates. Each entity update would require: Reading 5 private entity variables (fetched from datastore) Fetching as many as 20 static variables (from datastore or persisted in server memory) Writing 5 entity variables Clients of the game would authenticate and set state directly against GAE as well as pull the latest world state from GAE. Running the update on GAE would consist of a cron job launched every minute. This would update all of the entities and save the results to the datastore. This would be more CPU intensive for GAE. Running the update on an authoritative server would consist of fetching entity data from the GAE datastore, calculating the new entity states and pushing the new state variables back to the datastore. This would be more bandwidth intensive for the datastore.

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  • Applying Textures to Hexagonal Tiles Seamlessly

    - by PATRY
    I'm doing a tactical game (X-Com / Fallout style) for fun. I've decided to use a hexagonal map, but I'm having a graphic problem. My current map display is HUD-like, with only the border of the map cells displayed, without any texture. it's simple and allow for display of different types of informations by varying the color of the border. For exemple the "danger view mode" displays the borders with a color going from green (no damage possible) to red (prob of damage 90%). Now, It's a bit hard to differentiate the kind of tile the player is on. I could put a plain color (green is grass, pale blue is water...), but this is going to limit the possibilities. Thus, i would like to display a texture on my tiles. Since the map are generated, i can not use a picture for the whole map with the HUD over. So, my question is : does any one knows how i could generate the sealess hexagonal textures (algo or plugin), or if there is a site with some hexagonal tiles ?

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  • Getting an OBB out of another OBB?

    - by Milo
    I'm working on collision resolution for my game. I just need a good way to get an object out of another object if it gets stuck. In this case a car. Here is a typical scenario. The red car is in the green object. How do I correctly get it out so the car can slide along the edge of the object as it should. I tried: if(buildings.size() > 0) { Entity e = buildings.get(0); Vector2D vel = new Vector2D(); vel.x = vehicle.getVelocity().x; vel.y = vehicle.getVelocity().y; vel.normalize(); while(vehicle.getRect().overlaps(e.getRect())) { vehicle.setCenter(vehicle.getCenterX() - vel.x * 0.1f, vehicle.getCenterY() - vel.y * 0.1f); } colided = true; } But that does not work too well. Is there some sort of vector I could calculate to use as the vector to move the car away from the object? Thanks

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  • Dynamic Terrain Texture

    - by lgrevenl
    I've been looking at a 2D physics game called 'Hill Climb Racing' (Android and iOS) and was wondering how they went about texturing the terrain? I've had a think about it and I've come up with nothing and finding a resource on the web has proved impossible. Please help. The game mentioned uses Cocos2d. Would it be just as doable in a different environment? EDIT: I was looking at another question: Drawing large 2D sidescroller level terrain The end result is what I'm looking for, but in my mind I was thinking that there would be some way to add this effect (using small textures) to some terrain specified by vertices rather than making a very large image to match whatever is seen in the level.

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  • Arbitrary projection matrix from 6 arbitrary frustum planes

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

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  • Can't remove JPanel from JFrame while adding new class into it

    - by A.K.
    Basically, I have my Frame class, which instantiates all the properties for the JFrame, and draws a JLabel with an image (my title screen). Then I made a separate JPanel with a start button on it, and made a mouse listener that will allow me to remove these objects while adding in a new Board() class (Which paints the main game). *Note: The JLabel is SEPARATE from the JPanel, but it still gets moved to the side by it. Problem: Whenever I click the button though, it only shows a little square of what I presume is my board class trying to run. Code below for the Frame Class: package OurPackage; //Made By A.K. 5/24/12 //Contains Frame. import java.awt.BorderLayout; import java.awt.Color; import java.awt.Container; import java.awt.Dimension; import java.awt.Graphics; import java.awt.Graphics2D; import java.awt.GridBagLayout; import java.awt.GridLayout; import java.awt.Image; import java.awt.Rectangle; import java.awt.event.ActionEvent; import java.awt.event.ActionListener; import java.awt.event.KeyEvent; import java.awt.event.MouseAdapter; import java.awt.event.MouseEvent; import java.awt.event.MouseListener; import javax.swing.*; import javax.swing.plaf.basic.BasicOptionPaneUI.ButtonActionListener; public class Frame implements MouseListener { public static boolean StartGame = false; ImageIcon img = new ImageIcon(getClass().getResource("/Images/ActionJackTitle.png")); ImageIcon StartImg = new ImageIcon(getClass().getResource("/Images/JackStart.png")); public Image Title; JLabel TitleL = new JLabel(img); public JPanel panel = new JPanel(); JButton StartB = new JButton(StartImg); JFrame frm = new JFrame("Action-Packed Jack"); public Frame() { TitleL.setPreferredSize(new Dimension(1200, 420)); frm.add(TitleL); frm.setLayout(new GridBagLayout()); frm.add(panel); panel.setSize(new Dimension(220, 45)); panel.setLayout(new GridBagLayout ()); panel.add(StartB); StartB.addMouseListener(this); StartB.setPreferredSize(new Dimension(220, 45)); frm.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE); frm.setSize(1200, 420); frm.setVisible(true); frm.setResizable(false); frm.setLocationRelativeTo(null); } public static void main(String[] args) { new Frame(); } public void mouseClicked(MouseEvent e) { StartB.setContentAreaFilled(false); panel.remove(StartB); frm.remove(panel); frm.remove(TitleL); //frm.setLayout(null); frm.add(new Board()); //Add Game "Tiles" Or Content. x = 1200 frm.validate(); System.out.println("Hit!"); } @Override public void mouseEntered(MouseEvent arg0) { // TODO Auto-generated method stub } @Override public void mouseExited(MouseEvent arg0) { // TODO Auto-generated method stub } @Override public void mousePressed(MouseEvent arg0) { // TODO Auto-generated method stub } @Override public void mouseReleased(MouseEvent arg0) { // TODO Auto-generated method stub } }

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  • 2D Rectangle Collision Response with Multiple Rectangles

    - by Justin Skiles
    Similar to: Collision rectangle response I have a level made up of tiles where the edges of the level are made up of collidable rectangles. The player's collision box is represented by a rectangle as well. The player can move in 8 directions. The player's velocity is equal in X and Y directions and constant. Each update, I am checking the player's collision against all tiles that are a certain distance away. When the player collides with a rectangle, I am finding the intersection depth and resolving along the most shallow axis followed by the other axis. This resolution happens for both axes simultaneously. See below for two examples of situations where I am having trouble. Moving up-left against the left wall In the scenario below, the player is colliding with two tiles. The tile intersection depth is equal on both axes for the top tile and more shallow in the X axis for the middle tile. Because the player is moving up the wall, the player should slide in an upward direction along the wall. This works properly as long as the rectangle with the more shallow depth is evaluated first. If the equal intersection depth rectangle is evaluated first, there is a chance the player becomes stuck. Moving up-left against the top wall Here is an identical scenario with the exception that the collision is with the top wall. The same problem occurs at the corners when intersection depth is equal for both axes. I guess my overall question is: How can I ensure that collision response occurs on tiles that have non-equal intersection depth before tiles that have equal intersection depth in order to get around the weirdness that occurs at these corners. Sean's answer in the linked question was good, but his solution required having different velocity components in a certain direction. My situation has equal velocities, so there's no good way to tell which direction to resolve at corners. I hope I have made my explanation clear.

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