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  • Finding the endpoint of a named bone in Irrlicht

    - by Boreal
    I'm making a tank game that will have multiple tanks. I want to be able to define the weapon placements using bones that I can add right inside the modelling program (Blender to be exact). All tanks will have a bone called Body and a bone called Turret, and then names like Cannon0 and PickupGun for where the shots will be fired from that are attached to the Turret bone. Is there some way to find the absolute end position of a bone that I choose by name?

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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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  • Fast determination of whether objects are onscreen in 2D

    - by Ben Ezard
    So currently, I have this in each object's renderer's update method: float a = transform.position.x * Main.scale; float b = transform.position.y * Main.scale; float c = Camera.main.transform.position.x * Main.scale; float d = Camera.main.transform.position.y * Main.scale; onscreen = a + width - c > 0 && a - c < GameView.width && b + height - d > 0 && b - d < GameView.height; transform.position is a 2D vector containing the game engine's definition of where the object is - this is then multiplied by Main.scale to translate that coordinate into actual screen space Similarly, Camera.main.transform.position is the in-engine representation of where the main camera is, and this is also multiplied by Main.scale The problem is, as my game is tile-based, thousands of these updates get called every frame, just to determine whether or not each object should be drawn - how can I improve this please?

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  • Deferred rendering order?

    - by Nick Wiggill
    There are some effects for which I must do multi-pass rendering. I've got the basics set up (FBO rendering etc.), but I'm trying to get my head around the most suitable setup. Here's what I'm thinking... The framebuffer objects: FBO 1 has a color attachment and a depth attachment. FBO 2 has a color attachment. The render passes: Render g-buffer: normals and depth (used by outline & DoF blur shaders); output to FBO no. 1. Render solid geometry, bold outlines (as in toon shader), and fog; output to FBO no. 2. (can all render via a single fragment shader -- I think.) (optional) DoF blur the scene; output to the default frame buffer OR ELSE render FBO2 directly to default frame buffer. (optional) Mesh wireframes; composite over what's already in the default framebuffer. Does this order seem viable? Any obvious mistakes?

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  • Set vertex position

    - by user1806687
    Can anyone tell me how to set the positions of model vertices? I want to be able to change the position of some of the vertices of a Model. Is there any way to make that happen? And make the changed visible at that moment. EDIT: Well, the thing is,I have a model, a cube, that is made up of four "thin" cubes(top,bottom,left side, right side), so I get this cube with "hole" in the middle. And I want to scale it on Y axis. If I do Scale(0,2,0) it will scale the whole object meaning, it will double the Y size of left and right side, but also double the size of the top and bottom cube, which I do not want. Same for X axis I want to double the size of top and bottom cubes but not the left and right one. Hope you can help

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  • How to get this wavefront .obj data onto the frustum?

    - by NoobScratcher
    I've finally figured out how to get the data from a .obj file and store the vertex positions x,y,z into a structure called Points with members x y z which are of type float. I want to know how to get this data onto the screen. Here is my attempt at doing so: //make a fileobject and store list and the index of that list in a c string ifstream file (list[index].c_str() ); std::vector<int>faces; std::vector<Point>points; points.push_back(Point()); Point p; int face[4]; while ( !file.eof() ) { char modelbuffer[10000]; //Get lines and store it in line string file.getline(modelbuffer, 10000); switch(modelbuffer[0]) { case 'v' : sscanf(modelbuffer, "v %f %f %f", &p.x, &p.y, &p.z); points.push_back(p); cout << "Getting Vertex Positions" << endl; cout << "v" << p.x << endl; cout << "v" << p.y << endl; cout << "v" << p.z << endl; break; case 'f': sscanf(modelbuffer, "f %d %d %d %d", face, face+1, face+2, face+3 ); cout << face[0] << endl; cout << face[1] << endl; cout << face[2] << endl; cout << face[3] << endl; faces.push_back(face[0]); faces.push_back(face[1]); faces.push_back(face[2]); faces.push_back(face[3]); } GLuint vertexbuffer; glGenBuffers(1, &vertexbuffer); glBindBuffer(GL_ARRAY_BUFFER, vertexbuffer); glBufferData(GL_ARRAY_BUFFER, points.size(), points.data(), GL_STATIC_DRAW); //glBufferData(GL_ARRAY_BUFFER,sizeof(points), &(points[0]), GL_STATIC_DRAW); glVertexAttribPointer(0, 4, GL_FLOAT, GL_FALSE, 0, 0); glVertexPointer(3, GL_FLOAT, sizeof(points),points.data()); glIndexPointer(GL_DOUBLE, 0, faces.data()); glDrawArrays(GL_QUADS, 0, points.size()); glDrawElements(GL_QUADS, faces.size(), GL_UNSIGNED_INT, faces.data()); } As you can see I've clearly failed the end part but I really don't know why its not rendering the data onto the frustum? Does anyone have a solution for this?

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  • Infinite terrain shadows

    - by user35399
    I'm creating an infinite terrain engine, which generates the terrain either with fractals or noise. How can I make dynamic shadows for the sun on this terrain, if I don't know in advance what will be rendered in front of the sun. My terrain: The sun is the only light, it is directional, my terrain is generated on a plane which is positioned before the camera, frustum culled and fits the size of the viewing frustum. It is height mapped with generated noise texture, and using tessellation shaders on it. Video:http://www.youtube.com/watch?v=tk6yFwYusOs Dynamic shadows with the infinite terrain.

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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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  • HUD layer not being added on my scene

    - by Shailesh_ios
    I have a CCScene which already holds my gameLayer and I am trying to add HUD layer on that.But the HUD layer is not getting added in my scene, I can say that because I have set up a CCLabel on HUD layer and when I run my project, I cannot see that label. Here's what I am doing : In my gameLayer: +(id) scene { CCScene *scene = [CCScene node]; GameScreen *layer = [GameScreen node]; [scene addChild: layer]; HUDclass * otherLayer = [HUDclass node]; [scene addChild:otherLayer]; layer.HC = otherLayer;// HC is reference to my HUD layer in @Interface of gameLayer return scene; } And then in my HUD layer I have just added a CCLabelTTF in its init method like this : -(id)init { if ((self = [super init])) { CCLabelTTF * label = [CCLabelTTF labelWithString:@"IN WEAPON CLASS" fontName:@"Arial" fontSize:15]; label.position = ccp(240,160); [self addChild:label]; } return self; } But now when I run my project I dont see that label, What am I doing wrong here ..? Any Ideas.. ? Thanks in advance for your time.

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  • Putting Together a Game Design Team?

    - by Kaia
    I'm attempting to put together a game design team that is willing to help me design/program, test, and somewhat produce the game we make to the public. I need anyone who knows anything about programming/coding, designing, etc. Once we get it up and running and out into the world (over dramatic maybe? haha) I have ideas of generating a profit from it so there is a possibility of payment. My thinking on it (so far) is this: 2D (possibly. I haven't decided if I want it 2D or 3D. It really depends on what is easier) 3rd person. Adventure (I want there to be a point to it, but like a point with no real end) I want there to be a story to it. If you've ever played Dofus, think like that. There is a story to the game, but no real end. I want (if possible) to include mini-games. These could end up becoming a possible way for a player to aquire in-game money, quest items, etc. If anyone is interested in helping me create the story line/script (which we will finsih first, before creating the game) please contact me. I want to get this completed as soon as possible.

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  • Estimate angle to launch missile, maths question

    - by Jonathan
    I've been working on this for an hour or two now and my maths really isn't my strong suit which is definitely not a good thing for a game programmer but that shouldn't stop me enjoying a hobby surely? After a few failed attempts I was hoping someone else out there could help so here's the situation. I'm trying to implement a bit of faked intelligence when the A.I fires it's missiles at a target in a 2D game world. By predicting the likely position the target will be in given it's current velocity and the time it will take the missile to reach it's target. I created an image to demonstrate my thinking: http://i.imgur.com/SFmU3.png which also contains the logic I use for accelerating the missile after launch. The ship that fires the missile can fire within a total of 40 degree angle, 20 either side of itself, but this could likely become variable. My current attempt was to break the space between the two lines into segments which match the targets width. Then calculate the time it would take the missile to get to that location using the formula. So for each iteration of this we total up the values and that tells us the distance travelled, ad it would then just need compared to distance to the segment. startVelocity * ((startVelocity * acceleration)^(currentframe-1) So for example. If we start at a velocity of 1f/frame with an acceleration of 0.1f the formula, at frame 4, would be 1 * (1.1^3) = 1.331 But I quickly realized I was getting lost when trying to put this into practice. Does this seem like a correct starting point or am I going completely the wrong way about it? Any pointers would help me greatly. Maths really isn't my strong suit so I get easily lost in these matters and don't even really know a good phrase to search for with this. So I guess in summary my question is more about the correct way to approach this problem and any additional code samples on top of that would be great but I'm not averse to working out the complete code from helpful pointers.

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  • Issues implementing arcball viewer

    - by Pris
    My scene has a simple cube, and a camera built with the lookAt function (I'm using OpenGL). The scene renders fine, and I'm sure I have my model/view/projection matrices set up correctly. Now I'm trying to implement arcball rotation for my camera, but I'm having some trouble. I've got it down to calculating the angle/axis rotation for a virtual sphere in normalized screen coordinates. That means when I move my mouse left to right, I get an angle around the Y axis... and moving my mouse up/down will get me an angle about X. I'm not sure where to go from here -- what do I need to do with my axis so I can apply the angle to simulate camera rotation about its viewpoint? If I try directly applying the axis/angle rotation the camera/view transform I get what you'd expect. The view is rotated about the world axes which the mouse moving over the virtual sphere on the screen corresponds to. So if I move the mouse up/down the view rotates about the world's X axis (what I get reminds me of a first-person view)... but this isn't what I want. I think I need the axis I get to be transformed so it passes through the camera viewpoint and is oriented correct in reference to the camera... but I don't know if that's right or how to do that.

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  • Has a multi player graphic adventure* ever been made?

    - by Petruza
    By graphic adventure, I mean point & click LucasArts-type games. Those games have a mostly linear structure in nature, and usually don't offer as many variants as other games types like action, rpg, strategy, which makes this genre difficult to implement a multi-player feature. I'd like to know if there has been any attempts on doing such a thing, and if it would be viable, as players going offline or leaving a game in the middle would affect significantly the other players' game.

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  • Preventing item duplication?

    - by PuppyKevin
    For my game, there's two types of items - stackable, and nonstackable. Nonstackable items get assigned a unique ID that stays with it forever. A character ID is assosicated with the item, as is a state (CHANGED, UNCHANGED, NEW, REMOVED). The character ID and state is used for item saving purposes. Stackable items have one unique ID, as in the entire stack has one unique ID. For example: 5 Potions (stacked ontop of each other) has one unique ID. When dropping a nonstackable item, the state gets set to REMOVED, and the unique ID and state don't change. If picked up by another player, the state gets set to NEW, and the character ID gets changed to the new character's ID. When dropping all items in a stack of stackable items (for example, 5 potions out of 5) - it behaves just like a nonstackable item. When dropping some of a stack of stackable items (for example, 3 potions out of 5)... I really have no clue what to do. The 3 dropped potions have the state of REMOVED, but the same unique ID and character ID. If another player picks it up, it has no choice but to obtain a new unique ID, and its state gets changed to NEW and its character ID to the new one. If the dropping player picks it back up, they'd just be readded to the stack. There's two issues with that though. 1. If the player who dropped the 3 potions picks it back up, there's no way to tell if they legitimately dropped the items, or if they're duped items. 2. If another player picks up the 3 potions (assuming they're duped), there's no way to know if they're duped or not. My question is: How can I create a system that detects duplicated items for both nonstackable and stackable items?

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  • why would you use textures that are not a power of 2?

    - by Will
    In the early days of OpenGL and DirectX, it was required that textures were powers of two. This meant that interpolation of float values could be done very quickly using shifting and such. Since OpenGL 2.0, and preceding that via an extension, non-power-of-two texture dimensions has been supported. Are there performance advantages to sticking to power-of-two textures on modern integrated and discrete GPUs? What advantages do non-power-of-two textures have, if any? Are there large populations of desktop users who don't have cards that support non-power-of-two textures?

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  • Previewing a Demo Level in Mobile for UDK?

    - by Reno Yeo
    I've already clicked on "Emulate Mobile Features" and everything has been compiled. I've also set the mobile previewer settings to iPhone 4's dimensions and features. However, when i click on the mobile previewer, a new window pops up but it goes into a "Not Responding" mode after a while. Is there anything I'm doing wrong? To be honest, I'm afraid of the difficulty curve required in learning UDK, but I am interested in developing a game for it.

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  • Game maps with "counties" that are split along lines that aren't necessarily straight

    - by pm_2
    I want to create a game environment that supports a 2D map. This is a really basic map, but must be split along lines that are not necessarily straight. So imagine a country with county boundaries. I then want to be able to detect drag / drop events within these counties. What I'm really looking for here is a pointer to where to start on this (how it has been done before - any existing libraries out there), as I'm sure that what I'm trying to do is not new - although I can't find a beginners guide for this anywhere.

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  • How do I find the angle required to point to another object?

    - by Ginamin
    I am making an air combat game, where you can fly a ship in a 3D space. There is an opponent that flies around as well. When the opponent is not on screen, I want to display an arrow pointing in the direction the user should turn, as such: So, I took the camera location and the oppenent location and did this: double newDirection = atan2(activeCamera.location.y-ship_wrap.location.y, activeCamera.location.x-ship_wrap.location.x); After which, I get the position on the circumferance of a circle which surrounds my crosshairs, like such: trackingArrow.position = point((60*sin(angle)+240),60*cos(angle)+160); It all works fine, except it's the wrong angle! I assume my calculation for the new direction is incorrect. Can anyone help?

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  • Selection of a mesh with arbitrary region

    - by Tigran
    Considering example: I have a mesh(es) on the OpenGL screen and would like to select a part of it (say for delete purpose). There is a clear way to do the selction via Ray Tracing, or via Selection provided by OpenGL itself. But, for my users, considering that meshes can get wired surfaces, I need to implement a selection via a Arbitrary closed region, so all triangles that appears present inside that region has to be selected. To be more clear, here is screen shot: I want all triangles inside black polygon to be selected, identified, whatever in some way. How can I achieve that ?

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  • How to solve problems with movement in simple tile based multiplayer game?

    - by Murlo
    I'm making a simple tile based 2D multiplayer game in JavaScript using socket.io where you can move one tile every 200 ms. The two solutions I've tried are as follows: The client sends "walk one tile north" every 200 ms. Problem: People can easily hack the client to send the action more often. The client sends "walking north" and "stopped walking". Problem: Sometimes the player moves extra steps when "stopped walking" doesn't arrive in time. Do you know a way around these problems or is there a better way to do it? EDIT: Regarding the first solution I've tried adding validation on the server to check if it has been 200 ms since last movement. The problem is that latency still encourages people just to spam the action as much as possible, giving them an unfair advantage.

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  • How do you maintain content size vs. content quality in an application?

    - by PeterK
    I am developing my first Cocos2d iPhone/iPad game that includes quite a few sprites, I would need approximately 80 different. As this is for both normal and HD displays I have 2x of each sprite. I am using TexturePacker to optimize the thing. I would like to ask if there are any rules-of-thumb, tricks, ideas etc. to adjust to in regards to size of content, quality and how you maintain high-quality HD-based graphics due to its size vs. the device memory sizes? Also, is it a good idea to only have one copy of the sprites and scale it using code?

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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 be data oriented programming applied for GUI system?

    - by Miro
    I've just learned basics of Data oriented programming design, but I'm not very familiar with that yet. I've also read Pitfalls of Object Oriented Programming GCAP 09. It seems that data oriented programming is much better idea for games, than OOP. I'm just creating my own GUI system and it's completely OOP. I'm thinking if is data oriented programming design applicable for structured things like GUI. The main problem I see is that every type widget has different data, so I can hardly group them into arrays. Also every type of widget renders differently so I still need to call virtual functions.

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  • Problem with boundary collision

    - by James Century
    The problem: When the player hits the left boundary he stops (this is exactly what I want), when he hits the right boundary. He continues until his rectangle's left boundary meets with the right boundary. Outcome: https://www.youtube.com/watch?v=yuJfIWZ_LL0&feature=youtu.be My Code public class Player extends GameObject{ BufferedImageLoader loader; Texture tex = Game.getInstance(); BufferedImage image; Animation playerWalkLeft; private HealthBarManager healthBar; private String username; private int width; private ManaBarManager manaBar; public Player(float x, float y, ObjectID ID) { super(x, y, ID, null); loader = new BufferedImageLoader(); playerWalkLeft = new Animation(5,tex.player[10],tex.player[11],tex.player[12],tex.player[13],tex.player[14],tex.player[15],tex.player[17],tex.player[18]); } public void tick(LinkedList<GameObject> object) { setX(getX()+velX); setY(getY()+velY); playerWalkLeft.runAnimation(); } public void render(Graphics g) { g.setColor(Color.BLACK); FontMetrics fm = g.getFontMetrics(g.getFont()); if(username != null) width = fm.stringWidth(username); if(username != null){ g.drawString(username,(int) x-width/2+15,(int) y); } if(velX != 0){ playerWalkLeft.drawAnimation(g, (int)x, (int)y); }else{ g.drawImage(tex.player[16], (int)x, (int)y, null); } g.setColor(Color.PINK); g.drawRect((int)x,(int)y,33,48); g.drawRect(0,0,(int)Game.getWalkableBounds().getWidth(), (int)Game.getWalkableBounds().getHeight()); } @SuppressWarnings("unused") private Image getCurrentImage() { return image; } public float getX() { return x; } public float getY() { return y; } public void setX(float x) { Rectangle gameBoundry = Game.getWalkableBounds(); if(x >= gameBoundry.getMinX() && x <= gameBoundry.getMaxX()){ this.x = x; } } public void setY(float y) { //IGNORE THE SetY please. this.y = y; } public float getVelX() { return velX; } public void setHealthBar(HealthBarManager healthBar){ this.healthBar = healthBar; } public HealthBarManager getHealthBar(){ return healthBar; } public float getVelY() { return velY; } public void setVelX(float velX) { this.velX = velX; } public void setVelY(float velY) { this.velY = velY; } public ObjectID getID() { return ID; } public void setUsername(String playerName) { this.username = playerName; } public String getUsername(){ return this.username; } public void setManaBar(ManaBarManager manaBar) { this.manaBar = manaBar; } public ManaBarManager getManaBar(){ return manaBar; } public int getLevel(){ return 1; } public boolean isPlayerInsideBoundry(float x, float y){ Rectangle boundry = Game.getWalkableBounds(); if(boundry.contains(x,y)){ return true; } return false; } } What I've tried: - Using a method that checks if the game boundary contains player boundary rectangle. This gave me the same result as what the check statement in my setX did.

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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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