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• Jumping over non-stationary objects without problems ... 2-D platformer ... how could this be solved? [on hold]

  - by help bonafide pigeons

  You know this problem ... take Super Mario Bros. for example. When Mario/Luigi/etc. comes in proximity with a nearing pipe image an invisible boundary setter must prevent him from continuing forward movement. However, when you jump and move both x and y you are coordinately moving in two dimensions at an exact time. When nearing the pipe in mid-air as you are falling, i.e. implementation of gravity in the computer program "pulling" the image back down, and you do not want them to get "stuck" in both falling and moving. That problem is solved, but how about this one: The player controlling the ball object is attempting to jump and move rightwards over the non-stationary block that moves up and down. How could we measure its top and lower x+y components to determine the safest way for the ball to accurately either fall back down, or catch the ledge, or get pushed down under it, etc.?

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• How many textures can usually I bind at once?

  - by Avi

  I'm developing a game engine, and it's only going to work on modern (Shader model 4+) hardware. I figure that, by the time I'm done with it, that won't be such an unreasonable requirement. My question is: how many textures can I bind at once on a modern graphics card? 16 would be sufficient. Can I expect most modern graphics cards to support that amount? My GTX 460 appears to support 32, but I have no idea if that's representative of most modern video cards.

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• Help Decide between C#/XNA client or Java

  - by Sparkky

  The game runs on a client/server architecture currently setup for TCP, and the client code was built in AS3 to be web based. What we're running into is 3 problems for the client. AS3 has no hardware acceleration so we are having some issues with slowdown when implementing some features TCP is really frustrating for a sidescroller when you're talking with a server. I'm having a heck of a time with the interpolation/extrapolation to make everyone else look smooth while minimizing lag. I would much rather be able to use UDP and throw in something similar to the age old Quake interpolation/extrapolation. No right click I work professionally with C#, and I did all my University (almost 2 years ago) with Java. Java really appeals to me because of the compatability while C# appeals to me because I've heard so much good about XNA and I love visual studio. For a Client/Server based MMOish sidescroller in your opinion should I stick with AS3 and the TCP protocol, or should I abandon some of my audience, ramp up the graphics and hit C#, or journey back to the land of Java. Thanks :D

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• What file formats and conventions should I support to make my game engine artist-friendly?

  - by Avi

  I'm writing a game engine, and I want to know what I should do to make it more artist-friendly. I don't want to be too limiting in terms of what file formats I support, etc. Some specific questions: Are there specific formats artists like to model in? Does it not matter because the 3D modeler abstracts the data storage away? Is it okay if I don't support per-vertex coloration in my game engine? If I have to store a diffuse, specular, ambient, and emissive color value for each vertex, it doubles the size of vertices in the buffer. Is it reasonable to ask artists to do all these things in textures / maps? Any other tips you have about making it so that artists have to adapt their style to my specific engine as little as possible would be nice.

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• Adobe Air Mobile AS3 app: challenges and how to overcome them?

  - by Arthur Wulf White

  I made a PC flash game for LD 26 - minimalism and I am working on porting it to Android. Some questions I'd like to ask: Is it bad to heavily use vector graphics (ie. this.graphics.lineTo()) in Mobile Air? Does Stencyl completely alleviate this issue? Are there any inherit disadvantages to using Air Mobile that I'm missing? Where is the documentation for Air mobile (I googled and found no recent books or documentation pdf so far)

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• Why isn't one of the constant buffers being loaded inside the shader?

  - by Paul Ske

  I however got the model to load under tessellation; only problem is that one of the constant buffers aren't actually updating the shader's tessellation factor inside the hullshader. I created a messagebox at the rendering point so I know for sure the tessellation factor is assigned to the dynamic constant buffer. Inside the shader code where it says .Edges[1] = tessellationAmount; the tessellationAmount is suppose to be sent from the dynamic buffer to the shader. Otherwise it's just a plain box. In better explanation; there's a matrixBuffer, cameraBuffer, TessellationBuffer for constant. There's a multiBuffer array that assigns the matrix, camera, tesselation. So, when I set the Hull Shader, PixelShader, VertexShader, DomainShader it gets assigned by the multibuffer. E.G. devcon-HSSetConstantBuffers(0,3,multibuffer); The only way around the whole ideal would be to go in the shader and change how much the edges tessellate and inside the edges as well with the same number. My question is why wouldn't the tessellationBuffer not work in the shader?

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• Spawning bullets on command in Box2D

  - by recharge330

  I'm making a simple bullet hell game but I can't figure out how to get my character to shoot. Lets say I have bulletBody and shipBody, how would I continually spawn bulletBodies using the shipBody coordinates. I've tried a function that uses an array of b2bodies and just assigns them the bodydef and fixture but that causes the game to crash. C++ sample code would be best but any help is appreciated. EDIT: It looks like any reference to my b2World in a function will cause the game to crash. How do I declare the bodies without using a b2World as an argument in the function.

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• Cocos-2D asteroids style movement (iOS)

  - by bwheeler96

  So I have a CCSprite subclass, well call this Spaceship. Spaceship needs to move on a loop, until I say othersise by calling a method. The method should look something like - (void)moveForeverAtVelocity { // method logic } The class Spaceship has two relevant iVars, resetPosition and targetPosition, the target is where we are headed, the reset is where we set to when we've hit our target. If they are both off-screen this creates a permanent looping effect. So for the logic, I have tried several things, such as CCMoveTo *move = [CCMoveTo actionWithDuration:2 position:ccp(100, 100)]; CCCallBlockN *repeat = [CCCallBlockN actionWithBlock: ^(CCNode *node) { [self moveForeverAtVelocity]; }]; [self runAction:[CCSequence actions: move, repeat, nil]]; self.position = self.resetPosition; recursively calling the moveForeverAtVelocity method. This is psuedo-code, so its not perfect. I have hard-coded some of the values for the sake of simplicity. Enough garble: The problem I am having, how can I make a method that loops forever, but can be called and reset at will. I'm running into issues with creating multiple instances of this method. If you can offer any assistance with creating this effect, that would be appreciated.

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• Tetris : Effective rotation

  - by hqt

  I rotate each piece by rotation formula. More detail, because rotation angle is 90 so : xNew = y; yNew = -x; But my method has met two problems : 1) Out of box : each type of pieces is fit in square 4x4. (0,0 at under left) But by this rotation, at some case they will out of this box. For example, there is a point with coordinate (5,6) So, please help me how to fit these coordinate into 4x4 box again, or give me another formula for this. 2) at I case : (4 squares at same row or same column), just has two rotations case. but in method above, they still has 4 pieces. So, how to prevent this. Thanks :)

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• My Sprite comes out the screen

  - by IlNero

  If i an action moves the sprite,how can i keep the CCSprite on the screen???? this is my code: [enemy runAction:[CCSequence actions:[CCMoveBy actionWithDuration:2.0 position:ccp(-winSize.width*0.4, 0)], [CCMoveBy actionWithDuration:randomValueBetween(1.0, 0.3) position:ccp(randomValueBetween(winSize.width*0.2, -winSize.width*0.2), randomValueBetween(winSize.height*0.2, -winSize.height*0.2))], [CCDelayTime actionWithDuration:0.5], [CCMoveBy actionWithDuration:randomValueBetween(1.0, 0.3) position:ccp(randomValueBetween(winSize.width*0.2, -winSize.width*0.2), randomValueBetween(winSize.height*0.2, -winSize.height*0.2))], [CCDelayTime actionWithDuration:0.5], [CCMoveBy actionWithDuration:randomValueBetween(1.0, 0.3) position:ccp(randomValueBetween(winSize.width*0.2, -winSize.width*0.2), randomValueBetween(winSize.height*0.2, -winSize.height*0.2))], [CCDelayTime actionWithDuration:0.5], [CCMoveBy actionWithDuration:randomValueBetween(1.0, 0.3) position:ccp(randomValueBetween(winSize.width*0.2, -winSize.width*0.2), randomValueBetween(winSize.height*0.2, -winSize.height*0.2))], [CCDelayTime actionWithDuration:0.5], [CCMoveBy actionWithDuration:randomValueBetween(1.0, 0.3) position:ccp(randomValueBetween(winSize.width*0.2, -winSize.width*0.2), randomValueBetween(winSize.height*0.2, -winSize.height*0.2))], [CCDelayTime actionWithDuration:0.5], [CCMoveBy actionWithDuration:randomValueBetween(1.0, 0.3) position:ccp(randomValueBetween(-winSize.width*0.3,winSize.width*0.3), randomValueBetween(winSize.height*0.3, -winSize.height*0.3))], [CCDelayTime actionWithDuration:0.5], [CCMoveBy actionWithDuration:randomValueBetween(1.0, 0.3) position:ccp(randomValueBetween(-winSize.width*0.2,winSize.width*0.2), randomValueBetween(winSize.height*0.2, -winSize.height*0.2))], [CCDelayTime actionWithDuration:0.5], [CCMoveBy actionWithDuration:randomValueBetween(1.0, 0.3) position:ccp(randomValueBetween(-winSize.width*0.3,winSize.width*0.3), randomValueBetween(winSize.height*0.3, -winSize.height*0.3))], [CCDelayTime actionWithDuration:0.5], [CCMoveBy actionWithDuration:randomValueBetween(1.0, 0.3) position:ccp(randomValueBetween(-winSize.width*0.2,winSize.width*0.2), randomValueBetween(winSize.height*0.2, -winSize.height*0.2))], [CCDelayTime actionWithDuration:0.5], [CCMoveBy actionWithDuration:randomValueBetween(1.0, 0.3) position:ccp(randomValueBetween(-winSize.width*0.3,winSize.width*0.3), randomValueBetween(winSize.height*0.3, -winSize.height*0.3))], [CCDelayTime actionWithDuration:0.5], [CCMoveBy actionWithDuration:randomValueBetween(1.0, 0.3) position:ccp(randomValueBetween(-winSize.width*0.2,winSize.width*0.2), randomValueBetween(winSize.height*0.2, -winSize.height*0.2))], [CCDelayTime actionWithDuration:0.5], [CCMoveBy actionWithDuration:2.0 position:ccp(-winSize.width*1.5, 0)], [CCCallFuncN actionWithTarget:self selector:@selector(invisNode:)], nil]]; but whit this code the sprite sometimes comes out the screen, i need the sprite moves randomly in the screen without comes out..

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• XNA - positioning after rotation

  - by DijkeMark

  I have a turret with a 2 gunbarrels. The turret rotates towards my mouse. So far no problem. When it creates a few bullets and positions them at the end of the gun barrels. Here is the problem. It only works the moment the gun is point upwards. The moment it rotates the end of the gun barrels have moved ofcourse, thus the bullets don't spawn at the end of the gun battels, but at the place the where the gun barrels are when the turret is pointing upwards. How can I check where the end of the gun barrels are the moment it rotates? Thanks in Advance, Mark Dijkema PS. If you need code please let me know, I didn't post any yet, because I didn't what code you would need.

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• Game getting progressively laggier?

  - by Valentin Krummenacher

  I have a small game in HTML5 that uses socket.io to communicate with a node.js server. Now my problem is that, eversince I did my last update on it it seems to have something "chunk up" in the background making it laggier and laggier the longer it runs. In the update were a few temporary local variables being defined with var(you know, variables that are only used during one function and then not needed anymore) alongside with alot of other changes, and I am not even sure if this update or something else is causing this. Might the "var" have caused it? Or what other reasons might this strange complication have?

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• Translating an object along its heading

  - by Kuros

  I am working on a simulation that requires me to have several objects moving around in 3D space (text output of their current position on the grid and heading is fine, I do not need graphics), and I am having some trouble getting objects to move along their relative headings. I have a basic understanding of vectors and matrices. I am using a vector to represent their position, and I am also using Euler Angles. I can translate one of my entities with a matrix along whatever axis, and I can alter their heading. For example, if I have an entity at (order is XYZ) 1, 1, 1, with a heading of 0, I can apply a translation matrix to get them to talk to 1, 1, 2 fine. However, if I change their heading to 270, they still walk to 1, 1, 3, instead of 2, 1, 2 as I desire. I have a feeling that my problem lies in not translating my matrix from world space to object space, but I am not sure how to go about that. How can I do this? Addition: I am using 3D vectors to represent their current position and their heading (using the three euler angles). For now, all I want to do is have an entity walk in a square, reporting their current position at each step. So, assuming it starts at 10, 10, 10 I want it to walk as follows: 10,10,10 -> 10, 10, 15 10, 10, 15 -> 5, 10, 15 5, 10, 15 -> 5, 10, 10 5, 10, 10 -> 10, 10, 10 My 1 Z unit translation matrix is as follows: [1 0 0 0] [0 1 0 0] [0 0 1 1] [0 0 0 1] My rotation matrix is as follows: [0 0 1 0] [0 1 0 0] [-1 0 0 0] [0 0 0 1]

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• Java getResourceAsStream as local resource

  - by Dajgoro Labinac

  Before using LWJGL, I used the Graphic method, and there I displayed imageicons, and I had the picture file located in the resources. I used: ImageIcon tcard = new ImageIcon(this.getClass().getResource("RCA.png")); to load the image. Now when I load textures in LWJGL, I have to use absolute paths to locate the file: tcard = TextureLoader.getTexture("PNG", ResourceLoader.getResourceAsStream("C:/RCA.png")); I tried Googling, but I didn't find anything helpful. How can I load the image from the local resources like in the first example?

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• How can I make smoother upwards/downwards controls in pygame?

  - by Zolani13

  This is a loop I use to interpret key events in a python game. # Event Loop for event in pygame.event.get(): if event.type == QUIT: pygame.quit() sys.exit() if event.type == pygame.KEYDOWN: if event.key == pygame.K_a: my_speed = -10; if event.key == pygame.K_d: my_speed = 10; if event.type == pygame.KEYUP: if event.key == pygame.K_a: my_speed = 0; if event.key == pygame.K_d: my_speed = 0; The 'A' key represents up, while the 'D' key represents down. I use this loop within a larger drawing loop, that moves the sprite using this: Paddle1.rect.y += my_speed; I'm just making a simple pong game (as my first real code/non-gamemaker game) but there's a problem between moving upwards <= downwards. Essentially, if I hold a button upwards (or downwards), and then press downwards (or upwards), now holding both buttons, the direction will change, which is a good thing. But if I then release the upward button, then the sprite will stop. It won't continue in the direction of my second input. This kind of key pressing is actually common with WASD users, when changing directions quickly. Few people remember to let go of the first button before pressing the second. But my program doesn't accommodate the habit. I think I understand the reason, which is that when I let go of my first key, the KEYUP event still triggers, setting the speed to 0. I need to make sure that if a key is released, it only sets the speed to 0 if another key isn't being pressed. But the interpreter will only go through one event at a time, I think, so I can't check if a key has been pressed if it's only interpreting the commands for a released key. This is my dilemma. I want set the key controls so that a player doesn't have to press one button at a time to move upwards <= downwards, making it smoother. How can I do that?

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• XNA - 3D AABB collision detection and response

  - by fastinvsqrt

  I've been fiddling around with 3D AABB collision in my voxel engine for the last couple of days, and every method I've come up with thus far has been almost correct, but each one never quite worked exactly the way I hoped it would. Currently what I do is get two bounding boxes for my entity, one modified by the X translation component and the other by the Z component, and check if each collides with any of the surrounding chunks (chunks have their own octrees that are populated only with blocks that support collision). If there is a collision, then I cast out rays into that chunk to get the shortest collision distance, and set the translation component to that distance if the component is greater than the distance. The problem is that sometimes collisions aren't even registered. Here's a video on YouTube that I created showing what I mean. I suspect the problem may be with the rays that I cast to get the collision distance not being where I think they are, but I'm not entirely sure what would be wrong with them if they are indeed the problem. Here is my code for collision detection and response in the X direction (the Z direction is basically the same): // create the XZ offset vector Vector3 offsXZ = new Vector3( ( _translation.X > 0.0f ) ? SizeX / 2.0f : ( _translation.X < 0.0f ) ? -SizeX / 2.0f : 0.0f, 0.0f, ( _translation.Z > 0.0f ) ? SizeZ / 2.0f : ( _translation.Z < 0.0f ) ? -SizeZ / 2.0f : 0.0f ); // X physics BoundingBox boxx = GetBounds( _translation.X, 0.0f, 0.0f ); if ( _translation.X > 0.0f ) { foreach ( Chunk chunk in surrounding ) { if ( chunk.Collides( boxx ) ) { float dist = GetShortestCollisionDistance( chunk, Vector3.Right, offsXZ ) - 0.0001f; if ( dist < _translation.X ) { _translation.X = dist; } } } } else if ( _translation.X < 0.0f ) { foreach ( Chunk chunk in surrounding ) { if ( chunk.Collides( boxx ) ) { float dist = GetShortestCollisionDistance( chunk, Vector3.Left, offsXZ ) - 0.0001f; if ( dist < -_translation.X ) { _translation.X = -dist; } } } } And here is my implementation for GetShortestCollisionDistance: private float GetShortestCollisionDistance( Chunk chunk, Vector3 rayDir, Vector3 offs ) { int startY = (int)( -SizeY / 2.0f ); int endY = (int)( SizeY / 2.0f ); int incY = (int)Cube.Size; float dist = Chunk.Size; for ( int y = startY; y <= endY; y += incY ) { // Position is the center of the entity's bounding box Ray ray = new Ray( new Vector3( Position.X + offs.X, Position.Y + offs.Y + y, Position.Z + offs.Z ), rayDir ); // Chunk.GetIntersections(Ray) returns Dictionary<Block, float?> foreach ( var pair in chunk.GetIntersections( ray ) ) { if ( pair.Value.HasValue && pair.Value.Value < dist ) { dist = pair.Value.Value; } } } return dist; } I realize some of this code can be consolidated to help with speed, but my main concern right now is to get this bit of physics programming to actually work.

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• ECS with Go - circular imports [migrated]

  - by Andreas

  I'm exploring both Go and Entity-Component-Systems. I understand how ECS works, and I'm trying to replicate what seems to be the go-to document of ECS, namely http://cowboyprogramming.com/2007/01/05/evolve-your-heirachy/ For performance, the document recommends to use static arrays of every component type. That is, not arrays of component interfaces (arrays of pointers). The problem with this in Go is circular imports. I have one package, ecs, which contains the definitions for Entity, Component and System types/interfaces as well as an EntityManager. Another package, ecs/components, contains the various components. Obviously, the ecs/components package depends on ecs. But, to declare arrays of specific components in EntityManager, ecs would depend on ecs/components, therefore creating a circular import. Is there any way of avoiding this? I am aware that normally a high level system should not depend on lower systems. I'm also want to point out that using an array of pointers is probably fast enough for my purposes, but I'm interested in possible workarounds (for future reference) Thank you for your help!

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• Reflection velocity

  - by MindSeeker

  I'm trying to get a moving circular object to bounce (elastically) off of an immovable circular object. Am I doing this right? (The results look right, but I hate to trust that alone, and I can't find a tutorial that tackles this problem and includes the nitty gritty math/code to verify what I'm doing). If it is right, is there a better/faster/more elegant way to do this? Note that the object (this) is the moving circle, and the EntPointer object is the immovable circle. //take vector separating the two centers <x, y>, and then get unit vector of the result: MathVector2d unitnormal = MathVector2d(this -> Retxpos() - EntPointer -> Retxpos(), this -> Retypos() - EntPointer -> Retypos()).UnitVector(); //take tangent <-y, x> of the unitnormal: MathVector2d unittangent = MathVector2d(-unitnormal.ycomp, unitnormal.xcomp); MathVector2d V1 = MathVector2d(this -> Retxvel(), this -> Retyvel()); //Calculate the normal and tangent vector lengths of the velocity: (the normal changes, the tangent stays the same) double LengthNormal = DotProduct(unitnormal, V1); double LengthTangent = DotProduct(unittangent, V1); MathVector2d VelVecNewNormal = unitnormal.ScalarMultiplication(-LengthNormal); //the negative of what it was before MathVector2d VelVecNewTangent = unittangent.ScalarMultiplication(LengthTangent); //this stays the same MathVector2d NewVel = VectorAddition(VelVecNewNormal, VelVecNewTangent); //combine them xvel = NewVel.xcomp; //and then apply them yvel = NewVel.ycomp; Note also that this question is just about velocity, the position code is handled elsewhere (in other words, assume that this code is implemented at the exact moment that the circles begin to overlap). Thanks in advance for your help and time!

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• Where can I find good (well organized) examples of game code?

  - by smasher

  Where can I find good (well organized) examples of game code? I'm hoping that I can pick up some organizational tips. Most examples in books are too short and leave out lots of detail for the sake of brevity. I'm particularly interested on how to group your variables and methods so that another programmer would know where to look in the code. For example initializers at the top, then methods that take input, then methods that update views. I don't care about a particular language, as long as its OOP. I looked at the Quake 2 and 3 sources, but they're straight C and not much help for getting tips on organizing your objects. So, have you seen some good source? Any pointers to code that makes you say "wow, that's well organized" would be great.

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• Enabling and Disabling Colliders Unity

  - by Blue

  I'm trying to make the collider appear every 1 second. But I can't get the code write. I tried enabling the collider under a boolean and putting a yield to make it every second or so. But it's not working(gives me an error: Update() can not be a coroutine.). How would I fix this? Would I need a timer system and set the collider to be enabled every 'x' seconds and disabled every 'y' seconds? var waitTime : float = 1; var trigger : boolean = false; function Update () { if(!trigger){ collider.enabled = false; yield WaitForSeconds(waitTime); } if(trigger){ collider.enabled = true; yield WaitForSeconds(waitTime); } } }

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• Civilization 4: time in own scenario runs up too quickly.

  - by oKtosiTe

  In Civilization 4 (Beyond the Sword) I started making a scenario that focuses on the colonization of North America. For added realism, I set the StartYear=1780. Everytime I run the scenario, the time runs up far too quickly–probably because I set Era=ERA_ANCIENT and GameTurn=0–so that after just twenty turns the clock nears present day. I'm not really sure how to go fix this, other than by playing an actual marathon game from the start up to the year 1780 and copy over the values. Is there any way to calculate/know the right values for my scenario?

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• Is it possible to programmatically prevent a game from pausing when its window loses focus?

  - by user836045

  I'm playing Skyrim in windowed mode and I am trying to create a bot for this game for personal use. I would like to have the bot play the game in the background, while I do other things, the only problem is that the game window pauses when it loses focus. Is there a way to make the Skyrim process think that it still has the focus, so it continues to run while I do something else on another window? I'm not a windows programming expert but would this be possible if I could somehow intercept the message that says unfocused or minimized to the process, and thus let the process think its still focused? I think Skyrim uses directx, so is it possible to come up with a solution from that end?

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• How can you represent equip-able items in a 2d game?

  - by ThePlan

  I've been working on an item system for a post-apocalyptic RPG, with diablo as inspiration, and it would be awesome if I could visually represent an item that can be equipped on the player sprite. I was thinking you could have a player sprite with certain animations, then the equipped item would be drawn as if it was on the player with the same animations, so it syncs with the player animations but that couldn't work very smoothly, I imagine there's a better system. How can you graphically represent an item worn on the player, which moves like he does, and looks as if he's wearing it? I'm not asking you how to do it in framework X or platform X (altho if you REALLY need it, I'm using Allegro 5 with codeblocks on win XP) but instead I'm asking you how to generally program such an idea.

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• What is the correct way to use glTexCoordPointer?

  - by RubyKing

  I'm trying to work out how to use this function glTexCoordPointer. The man page states that I must set a pointer to the first element of the array that uses the texture cordinate. Here is my array: static const GLfloat GUIVertices[] = { //FIRST QUAD 1.0f, 1.0f, 0.0f, 1.0f, 1.0f, 0.0f, -1.0f, 1.0f, 0.0f, 1.0f, 0.0f, 0.0f, -1.0f, 0.94f, 0.0f, 1.0f, 0.0f, 1.0f, 1.0f, 0.94f, 0.0f, 1.0f, 1.0f, 1.0f, //2ND QUAD // x y z w X Y 1.0f, -1.0f, 0.0f, 1.0f, 1.0f, 0.0f, -1.0f, -1.0f, 0.0f, 1.0f, 0.0f, 0.0f, -1.0f, -0.94f, 0.0f, 1.0f, 0.0f, 1.0f, 1.0f, -0.94f, 0.0f, 1.0f, 1.0f, 1.0, }; But how do I set the pointer correctly for the fifth element on the 2nd quad first row? I was thinking something like this: glTexCoordPointer(1, GL_FLOAT, 6, reinterpret_cast<const GLvoid *>(29 * sizeof(float)));

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• Is there a (family of) monotonically non-decreasing noise function(s)?

  - by Joe Wreschnig

  I'd like a function to animate an object moving from point A to point B over time, such that it reaches B at some fixed time, but its position at any time is randomly perturbed in a continuous fashion, but never goes backwards. The objects move along straight lines, so I only need one dimension. Mathematically, that means I'm looking for some continuous f(x), x ? [0,1], such that: f(0) = 0 f(1) = 1 x < y ? f(x) = f(y) At "most" points f(x + d) - f(x) bears no obvious relation to d. (The function is not uniformly increasing or otherwise predictable; I think that's also equivalent to saying no degree of derivative is a constant.) Ideally, I would actually like some way to have a family of these functions, providing some seed state. I'd need at least 4 bits of seed (16 possible functions), for my current use, but since that's not much feel free to provide even more. To avoid various issues with accumulation errors, I'd prefer the function not require any kind of internal state. That is, I want it to be a real function, not a programming "function".

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