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  • Zoom Layer centered on a Sprite

    - by clops
    I am in process of developing a small game where a space-ship travels through a layer (doh!), in some situations the spaceship comes close to an enemy space ship, and the whole layer is zoomed in on the two with the zoom level being dependent on the distance between the ship and the enemy. All of this works fine. The main question, however, is how do I keep the zoom being centered on the center point between the two space-ships and make sure that the two are not off-screen? Currently I control the zooming in the GameLayer object through the update method, here is the code (there is no layer repositioning here yet): -(void) prepareLayerZoomBetweenSpaceship{ CGPoint mainSpaceShipPosition = [mainSpaceShip position]; CGPoint enemySpaceShipPosition = [enemySpaceShip position]; float distance = powf(mainSpaceShipPosition.x - enemySpaceShipPosition.x, 2) + powf(mainSpaceShipPosition.y - enemySpaceShipPosition.y,2); distance = sqrtf(distance); /* Distance > 250 --> no zoom Distance < 100 --> maximum zoom */ float myZoomLevel = 0.5f; if(distance < 100){ //maximum zoom in myZoomLevel = 1.0f; }else if(distance > 250){ myZoomLevel = 0.5f; }else{ myZoomLevel = 1.0f - (distance-100)*0.0033f; } [self zoomTo:myZoomLevel]; } -(void) zoomTo:(float)zoom { if(zoom > 1){ zoom = 1; } // Set the scale. if(self.scale != zoom){ self.scale = zoom; } } Basically my question is: How do I zoom the layer and center it exactly between the two ships? I guess this is like a pinch zoom with two fingers!

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  • Basic game architechture best practices in Cocos2D on iOS

    - by MrDatabase
    Consider the following simple game: 20 squares floating around an iPhone's screen. Tapping a square causes that square to disappear. What's the "best practices" way to set this up in Cocos2D? Here's my plan so far: One Objective-c GameState singleton class (maintains list of active squares) One CCScene (since there's no menus etc) One CCLayer (child node of the scene) Many CCSprite nodes (one for each square, all child nodes of the layer) Each sprite listens for a tap on itself. Receive tap = remove from GameState Since I'm relatively new to Cocos2D I'd like some feedback on this design. For example I'm unsure of the GameState singleton. Perhaps it's unnecessary.

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  • Smooth pixels while rotating sprite

    - by goodm
    I just started with andengine, so this maybe gonna be silly question. How to make my sprites more smooth while I rotate them? Or maybe it because this is screenshot from tablet? Thanks JohnEye it works: Just need to change my BitmapTextureAtlas from: BitmapTextureAtlas carAtlas = new BitmapTextureAtlas(this.getTextureManager(),100, 63); to: BitmapTextureAtlas carAtlas = new BitmapTextureAtlas(this.getTextureManager(),100, 63, TextureOptions.BILINEAR);

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  • Ray Intersecting Plane Formula in C++/DirectX

    - by user4585
    I'm developing a picking system that will use rays that intersect volumes and I'm having trouble with ray intersection versus a plane. I was able to figure out spheres fairly easily, but planes are giving me trouble. I've tried to understand various sources and get hung up on some of the variables used within their explanations. Here is a snippet of my code: bool Picking() { D3DXVECTOR3 vec; D3DXVECTOR3 vRayDir; D3DXVECTOR3 vRayOrig; D3DXVECTOR3 vROO, vROD; // vect ray obj orig, vec ray obj dir D3DXMATRIX m; D3DXMATRIX mInverse; D3DXMATRIX worldMat; // Obtain project matrix D3DXMATRIX pMatProj = CDirectXRenderer::GetInstance()->Director()->Proj(); // Obtain mouse position D3DXVECTOR3 pos = CGUIManager::GetInstance()->GUIObjectList.front().pos; // Get window width & height float w = CDirectXRenderer::GetInstance()->GetWidth(); float h = CDirectXRenderer::GetInstance()->GetHeight(); // Transform vector from screen to 3D space vec.x = (((2.0f * pos.x) / w) - 1.0f) / pMatProj._11; vec.y = -(((2.0f * pos.y) / h) - 1.0f) / pMatProj._22; vec.z = 1.0f; // Create a view inverse matrix D3DXMatrixInverse(&m, NULL, &CDirectXRenderer::GetInstance()->Director()->View()); // Determine our ray's direction vRayDir.x = vec.x * m._11 + vec.y * m._21 + vec.z * m._31; vRayDir.y = vec.x * m._12 + vec.y * m._22 + vec.z * m._32; vRayDir.z = vec.x * m._13 + vec.y * m._23 + vec.z * m._33; // Determine our ray's origin vRayOrig.x = m._41; vRayOrig.y = m._42; vRayOrig.z = m._43; D3DXMatrixIdentity(&worldMat); //worldMat = aliveActors[0]->GetTrans(); D3DXMatrixInverse(&mInverse, NULL, &worldMat); D3DXVec3TransformCoord(&vROO, &vRayOrig, &mInverse); D3DXVec3TransformNormal(&vROD, &vRayDir, &mInverse); D3DXVec3Normalize(&vROD, &vROD); When using this code I'm able to detect a ray intersection via a sphere, but I have questions when determining an intersection via a plane. First off should I be using my vRayOrig & vRayDir variables for the plane intersection tests or should I be using the new vectors that are created for use in object space? When looking at a site like this for example: http://www.tar.hu/gamealgorithms/ch22lev1sec2.html I'm curious as to what D is in the equation AX + BY + CZ + D = 0 and how does it factor in to determining a plane intersection? Any help will be appreciated, thanks.

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  • Why does my 3D model not translate the way I expect? [closed]

    - by ChocoMan
    In my first image, my model displays correctly: But when I move the model's position along the Z-axis (forward) I get this, yet the Y-axis doesnt change. An if I keep going, the model disappears into the ground: Any suggestions as to how I can get the model to translate properly visually? Here is how Im calling the model and the terrain in draw(): cameraPosition = new Vector3(camX, camY, camZ); // Copy any parent transforms. Matrix[] transforms = new Matrix[mShockwave.Bones.Count]; mShockwave.CopyAbsoluteBoneTransformsTo(transforms); Matrix[] ttransforms = new Matrix[terrain.Bones.Count]; terrain.CopyAbsoluteBoneTransformsTo(ttransforms); // Draw the model. A model can have multiple meshes, so loop. foreach (ModelMesh mesh in mShockwave.Meshes) { // This is where the mesh orientation is set, as well // as our camera and projection. foreach (BasicEffect effect in mesh.Effects) { effect.EnableDefaultLighting(); effect.PreferPerPixelLighting = true; effect.World = transforms[mesh.ParentBone.Index] * Matrix.CreateRotationY(modelRotation) * Matrix.CreateTranslation(modelPosition); // Looking at the model (picture shouldnt change other than rotation) effect.View = Matrix.CreateLookAt(cameraPosition, modelPosition, Vector3.Up); effect.Projection = Matrix.CreatePerspectiveFieldOfView( MathHelper.ToRadians(45.0f), aspectRatio, 1.0f, 10000.0f); effect.TextureEnabled = true; } // Draw the mesh, using the effects set above. prepare3d(); mesh.Draw(); } //Terrain test foreach (ModelMesh meshT in terrain.Meshes) { foreach (BasicEffect effect in meshT.Effects) { effect.EnableDefaultLighting(); effect.PreferPerPixelLighting = true; effect.World = ttransforms[meshT.ParentBone.Index] * Matrix.CreateRotationY(0) * Matrix.CreateTranslation(terrainPosition); // Looking at the model (picture shouldnt change other than rotation) effect.View = Matrix.CreateLookAt(cameraPosition, terrainPosition, Vector3.Up); effect.Projection = Matrix.CreatePerspectiveFieldOfView( MathHelper.ToRadians(45.0f), aspectRatio, 1.0f, 10000.0f); effect.TextureEnabled = true; } // Draw the mesh, using the effects set above. prepare3d(); meshT.Draw(); DrawText(); } base.Draw(gameTime); } I'm suspecting that there may be something wrong with how I'm handling my camera. The model rotates fine on its Y-axis.

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  • cocos2d/OpenGL multitexturing problem

    - by Gajoo
    I've got a simple shader to test multitextureing the problem is both samplers are using same image as their reference. the shader code is basically just this : vec4 mid = texture2D(u_texture,v_texCoord); float g = texture2D(u_guide,v_guideCoord); gl_FragColor = vec4(g , mid.g,0,1); and this is how I'm calling draw function : int last_State; glGetIntegerv(GL_ACTIVE_TEXTURE, &last_State); glActiveTexture(GL_TEXTURE0); glBindTexture(GL_TEXTURE_2D, getTexture()->getName()); glActiveTexture(GL_TEXTURE1); glEnable(GL_TEXTURE_2D); glBindTexture(GL_TEXTURE_2D, mGuideTexture->getName()); ccGLEnableVertexAttribs( kCCVertexAttribFlag_TexCoords |kCCVertexAttribFlag_Position); glVertexAttribPointer(kCCVertexAttrib_Position, 2, GL_FLOAT, GL_FALSE, 0, vertices); glVertexAttribPointer(kCCVertexAttrib_TexCoords, 2, GL_FLOAT, GL_FALSE, 0, texCoord); glDrawArrays(GL_TRIANGLE_STRIP, 0, 4); glDisable(GL_TEXTURE_2D); I've already check mGuideTexture->getName() and getTexture()->getName() are returning correct textures. but looking at the result I can tell, both samplers are reading from getTexture()->getName(). here are some screen shots showing what is happening : The image rendered Using above codes The image rendered when I change textures passed to samples I'm expecting to see green objects from the first picture with red objects hanging from the top.

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  • Interesting 3d zooming technique

    - by stark
    Is it possible to zoom to a certain point on screen by modifying the field of view and rotating the camera as to keep that point/object in the same place on screen while zooming ? Changing the camera position is not allowed.. I projected the 3d pos of the object on screen and remembered it. Then on each frame I calculate the direction to it in camera space and then I construct a rotation matrix to align this direction to Z axis (in cam space). After this, I calculate the direction from the camera to the object in world space and transform this vector with the matrix I obtained earlier and then use this final vector as the camera's new direction. And it's actually "kinda working", the problem is that it is more/less off than the camera's rotation before starting to zoom depending on the area you are trying to zoom in (larger error on edges/corners). It looks acceptable, but I'm not settling for only this. Any suggestions/resources for doing this technique perfectly ? If some of you want to explain the math in detail, be my guests, I can understand these things well. Thanks. Edit: I'll check often for responses, I'm really curious about this :D

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  • Loadbalancing Questions

    - by Van Holtz
    I have been learning networking for about 4 months. Wrote a single standalone Multiplayer server and succeeded with authoritative approach. Now I want to extend it by splitting the single server into clusters to allow even more players to log in to avoid latency issues. Now I have protyped the Loadbalancing server and its running pretty good so far. This is my architecture, I have a master server which acts as a proxy, every sub servers(chat, login, game) connect to the master server as well as all the clients. when a client connects, Client Request: Send Request - MS(Master) - Decides which SS(SubServer) to forward to - Forwards Request to SS - SS - Analyze Message - Send Response to MS - Decides which Client to forward to - Forwards Response to Client Well, it looks like its going through lots of stages. it takes double the time to process the message than a single server approach. i feel like my model isnt the best or i may be wrong. is there any better model or the one they use in professional games? I still want a Master-SubServer approach. I just want to clarify that I'm going in the right direction before writing all my codes. Thanks for any answer :)

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  • Best way to do large XNA animations?

    - by Harold
    What's the best way to have large animations in XNA 4.0? I have created a spritesheet with the sprite being 250x400 (more of an image than a sprite but hey ho) and there are approximately 45 frames in the animation. This causes problems for XNA as it says that the maximum filesize for Reach is 2048. I'd rather not change to hidef as I heard that means that your game is less compatible with some computers and systems so does anyone have any idea what the best thing I could do is? The only thing I could come up with is to have a list of textures to flick through but that's not ideal.

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  • Rope Colliding with a Rectangle

    - by Colton
    I have my rope, and I have my rectangles. The rope is similar to the implementation found here: http://nehe.gamedev.net/tutorial/rope_physics/17006/ Now, I want to make the rope properly collide with the rectangle such that the rope will not pass through a rectangle, and wrap around the rectangle and all that good stuff. Currently, I have it set so no rope node can pass through a rect (successfully), however, this means a rope segment can still pass through a block. Ex: So the question is, what can I do to fix this? What I have tried: I create a rectangle between two nodes of a rope, calculate rotation between the nodes, and get myself a transformed rectangle. I can successfully detect a collision between rope segments and a (non-transformed) rectangle. Create a new node or pivot point around the corner of the block, and rearrange nodes to point to the corner node. Trouble is determining what corner the rope segment is passing through. And then the current rope setup goes wonky (based on verlet integration, so a sudden change in position causes the rope to wiggle like a seismograph during a magnitude 8 earth quake.) Among other issues that might be solvable, but its turning into a case by case thing, which doesn't seem right. I think the best answer here would just be a link to a tutorial (I simply can't find any, most lead to box2D or farseer, but I want to at least learn how it works before I hide behind an engine).

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  • How to handle animations?

    - by Bane
    I am coding a simple 2D engine to be used with HTML5. I already have classes such as Picture, Scene, Camera and Renderer, but now I need to work on Animations. Picture is basocally a wrapper for a normal image object, with it's own draw method, but this is unrelated, I'm interested in how animation in 2D games is usually done. What I planned to do, is to have the Animation class as well act like a wrapper for a few image objects, and then have methods such as getCurrentImage, next and animate (which would use intervals to quickly change the current image). I meant to feed the animation a couple of PNG's at inicialisation. Is quickly swapping PNG images acceptable for 2D animation? Are there some standard ways of doing this, or are there flaws in my ways?

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  • Strategies to Defeat Memory Editors for Cheating - Desktop Games

    - by ashes999
    I'm assuming we're talking about desktop games -- something the player downloads and runs on their local computer. Many are the memory editors that allow you to detect and freeze values, like your player's health. How do you prevent cheating? What strategies are effective to combat this kind of cheating? I'm looking for some good ones. Two I use that are mediocre are: Displaying values as a percentage instead of the number (eg. 46/50 = 92% health) A low-level class that holds values in an array and moves them with each change

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  • Efficient existing rating system for multiplayer?

    - by Nikolay Kuznetsov
    I would like to add a rating for online version of a board game. In this game there are many game rooms each normally having 3-4 people. So I expect that player's rating adjustments (RA) should depends on Rating of opponents in the game room Number of players in game room and final place of a player Person gets rating increase if he plays more games and more frequently If a person leaves a game room (disconnect) before the game ends he should get punished with a high rating decrease I have found two related questions in here Developing an ELO like point system for a multiplayer gaming site Simplest most effective way to rank and measure player skill in a multi-player environment? Please, let me know what would be the most appropriate existing rating model to refer.

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  • How to convert from wav or mp3 to raw PCM [on hold]

    - by Komyg
    I am developing a game using Cocos2d-X and Marmalade SDK, and I am looking for any recommendations of programs that can convert audio files in mp3 or wav format to raw PCM 16 format. The problem is that I am using the SimpleAudioEngine class to play sounds in my game and in Marmalade it only supports files that are encoded as raw PCM 16. Unfortunately I've been having a very hard time finding a program that can do this type of conversion, so I am looking for a recommendation.

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  • Best way to implement mouse-based movement in MMOG

    - by fiftyeight
    I want to design an MMO where players click the destination they want to walk to with their mouse and the character moves there, similar to Runescape in this manner. I think it should be easier than keyboard movement since the client can simply send the server the destination each time the player clicks on a destination. The main thing I'm trying to decide is what to do when there are obstacles in the way. It's no problem to implement a simple path-finding solution on the client, the question is if the server will do path-finding as well, since it'll probably take too much Computation power from the server. What I though is that when there is an obstacle the client will send only the first coordinate it plans to go to and then when he gets there he'll send the next coordinate automatically. For example if there is a rock in the way the character will decide on a route that is made of two destinations so it goes around the rock and when it arrives at the first destination it sends the next coordinate. That way if the player changes destination is the middle he won't send unnecessary information. Is this a good way to implement it and is there a standard way MMOGs usually do it? EDIT: I should also mention that the server will make sure all movements are legal and there aren't any walls in the way etc. In the way I wrote it should be quite easy since all movements will be sent in straight lines so the server will just check there aren't any obstacles along that line.

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  • XNA Shader Texture Memory

    - by Alex
    I was wondering about texture optimization in XNA 4.0. Will the the contentmanager send the texturedata to the GPU directly when the texture gets loaded or do I send the texture data to the GPU when I declare a texture in my shader. If that's the case, what happens if I have 5 shaders all using the same texture, does that mean that I send 5 instances of that texture data to the gpu or am I simply telling the GPU what preloaded texture to use? Or does XNA do the heavy lifting in the background?

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  • Linking one uniform variable to many shaders

    - by Winged
    Let's say, that I have 3 programs, and in each of those programs there is a view matrix uniform, which should be the same in all those programs. Right now, when my camera moves, I need to re-upload the modified matrix to every program separately. Is it possible to create some kind of global uniforms which are constant for all programs linked to it, so I could just upload the matrix once? I tried creating a globalUniforms object which looked kinda like this: var globalUniforms = { program: {}, // (...) vMatrixUniform: null, // (...) initialize: function() { vMatrixUniform = gl.getUniformLocation(this.program, 'uVMatrix'); } }; So I could just link it to proper programs like this: program.vMatrixUniform = globalUniforms.vMatrixUniform;, and then pass the matrix like this: if (camera.isDirty.viewMatrix !== false) { camera.isDirty.viewMatrix = false; gl.uniformMatrix4fv(globalUniforms.vMatrixUniform, false, camera.viewMatrix.element); } but unfortunately it throws an error: Uncaught exception: gl.INVALID_VALUE was caused by call to: getUniformLocation called from line 272, column 2 in () in mysite/js/mesh.js: vMatrixUniform = gl.getUniformLocation(this.program, 'uVMatrix'); Summing up: is there a more efficient way of managing shaders which follows my logic?

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  • XNA 4.0, Combining model draw calls

    - by MayContainNuts
    I have the following problem: The levels in my game are made up of a Large Quantity of small Models and because of that I am experiencing frame rate problems. I already did some research and came to the conclusion that the amount of draw calls I am making must be the root of my problems. I've looked around for a while now and couldn't quite find a satisfying solution. I can't cull any of those models, in a worst case scenario there could be 1000 of them visible at the same time. I also looked at Hardware geometry Instancing, but I don't think that's quite what I'm looking for, because the level consists of a lot of different parts. So, what I'd like to do is combining 100 or 200 of these Models into a single large one and draw it as a whole 'chunk'. The whole geometry is static so it wouldn't have to be changed after combining, but different parts of it would have to use different textures (I think I can accomplish that with a texture atlas). But I have no idea how to to that, so does anybody have any suggestions?

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  • Tiny Wings - Placing items

    - by Federico
    I'm currently developing a Flash game like 'Tiny Wings'. I have a lot of work done, but i'm currently working on placing the items ( coins and obstacles ) on the terrain. My player it is moving on a auto-generated terrain (based on Emanuele Feronato's tutorials) so every time the player's x position is greater than (screenWidth + x) another hill is generated and so on. I'm currently having problems placing the items in a correct angle and put 5 or more items together on a hill. Could you please help me with this? Thanks, Regards. PS: This is the URL to the Emanuele Feronato post and the code to make the hills http://www.emanueleferonato.com/2011/10/04/create-a-terrain-like-the-one-in-tiny-wings-with-flash-and-box2d-%E2%80%93-adding-more-bumps/

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  • Exporting .jar files with Jarsplice

    - by SystemNetworks
    Help! I'm Using Mac OS X 10.8 Mountain Lion and Using Eclipse. I'm using the library called Slick and Lwjgl. When i first exported it, it has a .jar file. I followed some You Tube Tutorials (Different, they don't have slick) It worked for them. I don't know why it dosen't work for me. Should i put Slick-util too? I didn't even use lwjgl btw. Please help!!! Jars I used(Libraries) Slick LWJGL(I didn't use it) Tutorials I followed TheCodingUniverse(Exporting) TheNewBoston(The Code and Set-up) Programs I used Eclipse IDE Java Jarsplice No warnings found or errors. It is perfect! But Nothing shows up in the screen everytime I pressed the jar(After Jarsplice) Help!!!

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  • How do I implement layers on a tile map?

    - by mitch
    I have a game where, based upon the visible tiles in the viewport, I need to retrieve data of items in the visible tiles. I am planning to use Javascript to AJAX request in a batch based upon the visible tiles which contain image tags like Google Maps. The layer will be in SVG or canvas. The item information will be in JSON format. What is the best approach, to fetch the data? I currently have complex class I wrote in Javascript which determines the visible columns/rows and offsets relative to the visible area shown. Each item is also user contributed and will be rendered in canvas or SVG layer.

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  • Minecraft style XNA game collision?

    - by Levi
    I've been trying to get this working for ages now, I can detect if there's a solid block at any place on the map and I can check how far something is inside of it, but I don't understand how to fix the collision. I've tried loads of ways and all of them end up by the player getting stuck, glitching around, incorrect responses and I really have no idea how to go about this :/. int Chnk = Utility.GetChunkFromPosition(origin); if (Chnk == -1) return; Vector3 Pos = Utility.GetCubeVectorFromPosition(origin); if (GlobalWorld.LoadedChunks[Chnk].Blocks[(byte)Pos.X, (byte)Pos.Y, (byte)Pos.Z] != 0) { isInIllegalState = true; if (velocity.Y < 0f) velocity.Y = 0f; } while (isInIllegalState) { if (GlobalWorld.LoadedChunks[Chnk].Blocks[(byte)Pos.X, (byte)origin.Y, (byte)Pos.Z] != 0) origin.Y = (int)(origin.Y + 1); else isInIllegalState = false; } if (origin.Y < Chunk.YSize - 2 && GlobalWorld.LoadedChunks[Chnk].Blocks[(byte)Pos.X, (byte)(origin.Y + playerHeight.Y), (byte)Pos.Z] != 0) { velocity.Y = 0f; //Acceleration.Y = 0f; origin.Y = (int)origin.Y;// -0.5f; } for (int x = -1; x <= 1; x+=2) { for (int z = -1; z <= 1; z += 2) { Vector3 CornerPosition = new Vector3(boundingSize * x, 0, boundingSize * z); bool CorrectX = false; bool CorrectZ = false; Vector3 RoundedOrigin = Utility.RoundVector(origin); Vector3 RoundedCorner = Utility.RoundVector(origin + CornerPosition); byte BlockAdjacent = Utility.GetCubeFromPosition(origin + CornerPosition); if (BlockAdjacent == 0) continue; if (RoundedCorner.X != RoundedOrigin.X && RoundedCorner.Z != RoundedOrigin.Z) { CorrectX = true; CorrectZ = true; } if (RoundedCorner.Z != RoundedOrigin.Z && RoundedCorner.X == RoundedOrigin.X) CorrectZ = true; if (RoundedCorner.X != RoundedOrigin.X && RoundedCorner.Z == RoundedOrigin.Z) CorrectX = true; if (CorrectX && CornerPosition.X > 0) { if (origin.X > 0f) origin.X = (int)(origin.X + 1) - boundingSize; else origin.X = (int)origin.X - boundingSize; } else if (CorrectX && CornerPosition.X < 0) { if (origin.X > 0f) origin.X = (int)(origin.X) + boundingSize; else origin.X = (int)(origin.X - 1) + boundingSize; } if (CorrectZ && CornerPosition.Z > 0) { if (origin.Z > 0f) origin.Z = (int)(origin.Z + 1) - boundingSize; else origin.Z = (int)origin.Z - boundingSize; } else if (CorrectZ && CornerPosition.Z < 0) { if (origin.Z > 0f) origin.Z = (int)(origin.Z) + boundingSize; else origin.Z = (int)(origin.Z - 1) + boundingSize; } } }

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  • Importing 3d model with multiple skeletons

    - by Sweta Dwivedi
    I have created an animated butterfly in 3ds Max and try to export it in ".fbx" format to use in XNA, however as soon as I compile, i get the following Errors: Warning 1 Multiple skeletons were found in the file. The first skeleton, named "Left.Wing" has been moved to be a child of the scene root. The other, "Right.Wing", will be ignored. Fragment identifier "Right.Wing". Error 2 Vertex is bound to bone "Right.Wing", but this bone is not present in the skeleton. Which is confusing since I have the bone Right.Wing . . and I use it to animate the butterfly I have seen a few possible solution for Blender but none for 3Ds max it would be really helpful if someone could help me out with this

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  • Logarithmic spacing of FFT subbands

    - by Mykel Stone
    I'm trying to do the examples within the GameDev.net Beat Detection article ( http://archive.gamedev.net/archive/reference/programming/features/beatdetection/index.html ) I have no issue with performing a FFT and getting the frequency data and doing most of the article. I'm running into trouble though in the section 2.B, Enhancements and beat decision factors. in this section the author gives 3 equations numbered R10-R12 to be used to determine how many bins go into each subband: R10 - Linear increase of the width of the subband with its index R11 - We can choose for example the width of the first subband R12 - The sum of all the widths must not exceed 1024 He says the following in the article: "Once you have equations (R11) and (R12) it is fairly easy to extract 'a' and 'b', and thus to find the law of the 'wi'. This calculus of 'a' and 'b' must be made manually and 'a' and 'b' defined as constants in the source; indeed they do not vary during the song." However, I cannot seem to understand how these values are calculated...I'm probably missing something simple, but learning fourier analysis in a couple of weeks has left me Decimated-in-Mind and I cannot seem to see it.

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  • CW/CCW Rotation of a Vector

    - by user23132
    Considering that I have a vector A, and after an arbitrary rotation I get vector B. I want to use this rotation operation in others vectors as well, but I'm having problems in doing that. My idea do that is to calculate the perpendicular vector C of the plane AB (by calculating AxB). This vector C is the axis that I'll need to rotate. To discover the angle I used the dot product between A and B, the acos of the dot product will return the lowest angle between A and B, the angle ang. The rotation I need to do is then: -rotate *ang*º around the C axis. The problem is that I dont know if this rotation is a CW or CCW rotation, since the cos of the dot product does not give me information of the sign of the angle. There's a tip discover that in 2D ( A.x * B.y - A.y * B.x) that you can use to discover if the vector A is at left/right of vector B. But I dont know how to do this in 3D space. Can anyone help me?

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