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• Good 2D Platformer Physics

  - by Joe Wreschnig

  I have a basic character controller set up for a 2D platformer with Box2D, and I'm starting to tweak it to try to make it feel good. Physics engines have a lot of knobs to tweak, and it's not clear to me, writing with a physics engine for the first time, which ones I should use. Should jumping apply a force for several ticks? An impulse? Directly set velocity? How do I stop the avatar from sticking to walls without taking away all its friction (or do I take away all the friction, but only in the air)? Should I model the character as a capsule? A box with rounded corners? A box with two wheels? Just one big wheel? I feel like someone must have done this before! There seem to be very few resources available on the web that are not "baby's first physics", which all cut off where I'm hoping someone has already solved the issues. Most examples of physics engines for platformers have floaty-feeling controls, or in-air jumps, or easily exploitable behavior when temporary penetration is too high, etc. Some examples of what I mean: A short tap of jump jumps a short distance; a long tap jumps higher. Short skidding when stopping or reversing directions at high velocity. Standing stably on inclines (but maybe sliding down them when ducking). Analog speed when using an analog controller. All the other things that separate good platformers from bad platformers. Dare I suggest, stable moving platforms? I'm not really looking for "hey, do this." Obviously, the right thing to do is dependent on what I want in the game. But I'm hoping someone somewhere has gone through the possibilities and said "well technique A does feature X well, technique B does Y well, but that doesn't work with C", or has some worked examples beyond "if (key == space) character.impulse(0, 1)"

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• XNA Transparency depending on drawing order?

  - by DarthRoman

  I am drawing two 3D objects, both of them can fade from opaque to transparent independently, and they can intersect between them (so you cannot say when one of them is before the other one). Look at the image for a better understanding (one of the object is a terrain and the other one an area): Now, if I apply transparency to both of them, and draw the terrain before the area, the terrain is not transparent respecting to the area, but the area is: And finally, if I draw the area before the terrain, then the area is not transparent respecting of the terrain: QUESTION: How can I make all the objects transparent to the rest of objects without depending on the drawing order?

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• Dynamic Dijkstra

  - by Dani

  I need dynamic dijkstra algorithm that can update itself when edge's cost is changed without a full recalculation. Full recalculation is not an option. I've tryed to "brew" my own implemantion with no success. I've also tryed to find on the Internet but found nothing. A link to an article explaining the algorithm or even it's name will be good. Edit: Thanks everyone for answering. I managed to make algorithm of my own that runs in O(V+E) time, if anyone wishes to know the algorithm just say so and I will post it.

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• If statement causing xna sprites to draw frame by frame

  - by user1489599

  I’m a bit new to XNA but I wanted to write a simple program that would fire a cannon ball from a cannon at a 45 degree angle. It works fine outside of my keyboard i/o if statement, but when I encapsulate the code around an if statement checking to see if the user hits the space bar, the sprite will draw one frame at a time every time the space bar is hit. This is the code in question if (currentKeyboardState.IsKeyUp(Keys.Space) && previousKeyboardState.IsKeyDown(Keys.Space) && !skullBall.Alive) { //works outside the keyboard input if statement //{ skullBall.Position = cannon.Position; skullBall.DeltaY = -(float)(Math.Sin(MathHelper.ToRadians(45)) * 50/*39.7577*/ * time + 0.5 * (gravity * (time * time))); skullBall.DeltaX = (float)(Math.Cos(MathHelper.ToRadians(45)) * 50/*39.7577*/ * time); skullBall.Alive = true; //} } The skull ball represents the cannon ball and the cannon is just the starting point. DeltaX and DeltaY are the values I’m using to update the cannon balls position per update. I know it's dumb to have the cannon ball start at the cannons position every time the update is called but it’s not really noticeable right now. I was wondering if after examining my code, if anyone noticed any errors that would cause the sprite to display frame by frame instead of drawing it as a full animation of the cannon ball leaving the cannon and moving from there.

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• Converting a GameObject method call from UnityScript to C#

  - by Crims0n_

  Here is the UnityScript implementation of the method i use to generate a randomly tiled background, the problem i'm having relates to how to translate the call to the newTile method in c#, so far i've had no luck fiddling... can anyone point me in the correct direction? Thanks #pragma strict import System.Collections.Generic; var mapSizeX : int; var mapSizeY : int; var xOffset : float; var yOffset : float; var tilePrefab : GameObject; var tilePrefab2 : GameObject; var tiles : List.<Transform> = new List.<Transform>(); function Start () { var i : int = 0; var xIndex : int = 0; var yIndex : int = 0; xOffset = 2.69; yOffset = -1.97; while(yIndex < mapSizeY){ xIndex = 0; while(xIndex < mapSizeX){ var z = Random.Range(0, 5); if (z > 2) { var newTile : GameObject = Instantiate (tilePrefab, Vector3(xIndex*0.64 - (xOffset * (mapSizeX/10)), yIndex*-0.64 - (yOffset * (mapSizeY/10)), 0), Quaternion.identity); tiles.Add(newTile.transform); newTile.transform.parent = transform; newTile.transform.name = "tile_"+i; i++; xIndex++; } if (z < 2) { var newTile2 : GameObject = Instantiate (tilePrefab2, Vector3(xIndex*0.64 - (xOffset * (mapSizeX/10)), yIndex*-0.64 - (yOffset * (mapSizeY/10)), 0), Quaternion.identity); tiles.Add(newTile2.transform); newTile2.transform.parent = transform; newTile2.transform.name = "Ztile_"+i; i++; xIndex++; } } yIndex++; } } C# Version [Fixed] using UnityEngine; using System.Collections; public class LevelGen : MonoBehaviour { public int mapSizeX; public int mapSizeY; public float xOffset; public float yOffset; public GameObject tilePrefab; public GameObject tilePrefab2; int i; public System.Collections.Generic.List<Transform> tiles = new System.Collections.Generic.List<Transform>(); // Use this for initialization void Start () { int i = 0; int xIndex = 0; int yIndex = 0; xOffset = 1.58f; yOffset = -1.156f; while (yIndex < mapSizeY) { xIndex = 0; while(xIndex < mapSizeX) { int z = Random.Range(0, 5); if (z > 5) { GameObject newTile = (GameObject)Instantiate(tilePrefab, new Vector3(xIndex*0.64f - (xOffset * (mapSizeX/10.0f)), yIndex*-0.64f - (yOffset * (mapSizeY/10.0f)), 0), Quaternion.identity); tiles.Add(newTile.transform); newTile.transform.parent = transform; newTile.transform.name = "tile_"+i; i++; xIndex++; } if (z < 5) { GameObject newTile2 = (GameObject)Instantiate(tilePrefab, new Vector3(xIndex*0.64f - (xOffset * (mapSizeX/10.0f)), yIndex*-0.64f - (yOffset * (mapSizeY/10.0f)), 0), Quaternion.identity); tiles.Add(newTile2.transform); newTile2.transform.parent = transform; newTile2.transform.name = "tile2_"+i; i++; xIndex++; } } yIndex++; } } // Update is called once per frame void Update () { } }

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• Game engine IDE template [on hold]

  - by Spencer Killen

  Hey so I'm working on a fairly basic javascript game, and it's beginning to get to the point where my 'engine' to which I wrote, is difficult to manage in an all text environment, Iv already thought of using a javascript IDE like jet brains, but i was wondering if I could go 1 step further and have use a piece of software to purpose as an IDE and have a customizable GUI that I could use to automate class construction and such, for example, I have it set up right now so that everytime I want to create a new block (it's a platformer) I must copy a text file and fill in all the setting such as bounding box, sprite ect, it would be a lot easier if I could press a button and have a menu apear where I would fill in these values (I have a game maker background) is there software like this? If not what are some similar solutions to my problem?

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• Changing Ogre3D terrain lighting in real time

  - by lezebulon

  I'm looking at the Ogre 3D library and I'm browsing through some examples / tutorials. My question is about terrain. There are a few examples showing how great the terrain system is, but I think that the global illumination and shadows of the terrain have to be pre-computed, which kinda makes it impossible to integrate this with a day / night cycle. Is there a way to change the terrain light sources in real time? If so it is possible to do it and keep a decent FPS?

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• Wheel rotation, to change velocity of vehicle

  - by Lewis

  I update the velocity of my vehicle like so: [v setVelocity: ((2 * 3.14 * 100 * (wheel.getRotationValue / 360) / 30)) * gameSpeed]; // update on 60 fps this gets velocity on all frames divide by 60 for 1 frame. This is done in my update method in my world class. Now wheel.getRotationValue returns the rotation value which is worked out like this: - (void)ccTouchesMoved:(NSSet *)touches withEvent:(UIEvent *)event { UITouch *touch = [touches anyObject]; CGPoint location = [touch locationInView:[touch view]]; location = [[CCDirector sharedDirector] convertToGL:location]; if (CGRectContainsPoint(wheel.boundingBox, location)) { CGPoint firstLocation = [touch previousLocationInView:[touch view]]; CGPoint location = [touch locationInView:[touch view]]; CGPoint touchingPoint = [[CCDirector sharedDirector] convertToGL:location]; CGPoint firstTouchingPoint = [[CCDirector sharedDirector] convertToGL:firstLocation]; CGPoint firstVector = ccpSub(firstTouchingPoint, wheel.position); CGFloat firstRotateAngle = -ccpToAngle(firstVector); CGFloat previousTouch = CC_RADIANS_TO_DEGREES(firstRotateAngle); CGPoint vector = ccpSub(touchingPoint, wheel.position); CGFloat rotateAngle = -ccpToAngle(vector); CGFloat currentTouch = CC_RADIANS_TO_DEGREES(rotateAngle); float limit = 0.5; rotationValue += (currentTouch - previousTouch) * limit; } touching = YES; } Say I steer the vehicle to the far right of the screen, and want to move it to the far left, It wont start moving to the left of the screen until the rotationValue is past 0 degrees again (the wheel is in its center posistion) and is dragged past this value. Is there anyway to change the code I have above, so that movement on the wheel is recognised instantly and updates the velocity of v instantly too?

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• Mapping dynamic buffers in Direct3D11 in Windows Store apps

  - by Donnie

  I'm trying to make instanced geometry in Direct3D11, and the ID3D11DeviceContext1->Map() call is failing with the very helpful error of "Invalid Parameter" when I'm attempting to update the instance buffer. The buffer is declared as a member variable: Microsoft::WRL::ComPtr<ID3D11Buffer> m_instanceBuffer; Then I create it (which succeeds): D3D11_BUFFER_DESC instanceDesc; ZeroMemory(&instanceDesc, sizeof(D3D11_BUFFER_DESC)); instanceDesc.Usage = D3D11_USAGE_DYNAMIC; instanceDesc.ByteWidth = sizeof(InstanceData) * MAX_INSTANCE_COUNT; instanceDesc.BindFlags = D3D11_BIND_VERTEX_BUFFER; instanceDesc.CPUAccessFlags = D3D11_CPU_ACCESS_WRITE; instanceDesc.MiscFlags = 0; instanceDesc.StructureByteStride = 0; DX::ThrowIfFailed(d3dDevice->CreateBuffer(&instanceDesc, NULL, &m_instanceBuffer)); However, when I try to map it: D3D11_MAPPED_SUBRESOURCE inst; DX::ThrowIfFailed(d3dContext->Map(m_instanceBuffer.Get(), 0, D3D11_MAP_WRITE, 0, &inst)); The map call fails with E_INVALIDARG. Nothing is NULL incorrectly, and this being one of my first D3D apps I'm currently stumped on what to do next to track it down. I'm thinking I must be creating the buffer incorrectly, but I can't see how. Any input would be appreciated.

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• Can anyone recommend an AI sandbox?

  - by user19433

  I'm passionate person, who has been around AI from a long time [1] but never going in deep enough. Now it's time! I've been really looking for some way to concentrate on AI coding but couldn't succeeded to find an AI environment I can focus on. I just want to use an AI sandbox environment which would let me have tools like: visibility information character controller able to easily define a level, with obstacles of course physics collider management triggers management don't need to be a shiny, eye candy graphical render : this is about pathfinding, tactical reasoning, etc.. I have tried : Unreal Dev Kit : while the new release announce is about C++ coding, this is about external tools and will be released in 2013 Cry Engine : really interesting as AI is presents here but coding with it appears to be an hell: did I got it wrong ? Half Life source, C4, Torque, Dx Studio : either quite old, not very useful or costly these imply to dig in documentation (when provided) to code everything, graphics included. Unity 3D : the most promising platform. While you also need to create your own environment, there are lot of examples. The disadvantage is, in addition to spend time to have this env. working, is the languages choice : C#, Javascript or Boo. C# is not that hard, but this implies you'll allways have to convert papers (I love those from Lars Linden) books codes, or anything you can have in Aigamedev are most often in C++. This is extra work. I've look at "Simple Path", the very good Arong Greenberg work but no source provided and AngryAnt work. AI Sandbox : this seems to be exactly what as AI coder I want to use. I saw some preview but from 2009 we still don't know what it will be about precisely, will it be opensource or free (I strongly doubt), will I be able to buy it? will it really provide me tools I need to focus on AI ? That being said, what is the best environment to be able to focus on AI coding only, is it even possible?

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• database design help for game / user levels / progress

  - by sprugman

  Sorry this got long and all prose-y. I'm creating my first truly gamified web app and could use some help thinking about how to structure the data. The Set-up Users need to accomplish tasks in each of several categories before they can move up a level. I've got my Users, Tasks, and Categories tables, and a UserTasks table which joins the three. ("User 3 has added Task 42 in Category 8. Now they've completed it.") That's all fine and working wonderfully. The Challenge I'm not sure of the best way to track the progress in the individual categories toward each level. The "business" rules are: You have to achieve a certain number of points in each category to move up. If you get the number of points needed in Cat 8, but still have other work to do to complete the level, any new Cat 8 points count toward your overall score, but don't "roll over" into the next level. The number of Categories is small (five currently) and unlikely to change often, but by no means absolutely fixed. The number of points needed to level-up will vary per level, probably by a formula, or perhaps a lookup table. So the challenge is to track each user's progress toward the next level in each category. I've thought of a few potential approaches: Possible Solutions Add a column to the users table for each category and reset them all to zero each time a user levels-up. Have a separate UserProgress table with a row for each category for each user and the number of points they have. (Basically a Many-to-Many version of #1.) Add a userLevel column to the UserTasks table and use that to derive their progress with some kind of SUM statement. Their current level will be a simple int in the User table. Pros & Cons (1) seems like by far the most straightforward, but it's also the least flexible. Perhaps I could use a naming convention based on the category ids to help overcome some of that. (With code like "select cats; for each cat, get the value from Users.progress_{cat.id}.") It's also the one where I lose the most data -- I won't know which points counted toward leveling up. I don't have a need in mind for that, so maybe I don't care about that. (2) seems complicated: every time I add or subtract a user or a category, I have to maintain the other table. I foresee synchronization challenges. (3) Is somewhere in between -- cleaner than #2, but less intuitive than #1. In order to find out where a user is, I'd have mildly complex SQL like: SELECT categoryId, SUM(points) from UserTasks WHERE userId={user.id} & countsTowardLevel={user.level} groupBy categoryId Hmm... that doesn't seem so bad. I think I'm talking myself into #3 here, but would love any input, advice or other ideas. P.S. Sorry for the cross-post. I wrote this up on SO and then remembered that there was a game dev-focused one. Curious to see if I get different answers one place than the other....

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• 2D Grid based game - how should I draw grid lines?

  - by Adam K Dean

  I'm playing around with a 2D grid based game idea, and I am using sprites for the grid cells. Let's say there is a 10 x 10 grid and each cell is 48x48, which will have sprites drawn there. That is fine. But in design mode, I'd like to have a grid overlay the screen. I can do this either with sprites (2x600 pixel image etc) or with primitives, but which is best? Should I really be switching between sprites and 3d/2d rendering? Like so: Thanks!

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• Why doesn't my cube hold a position?

  - by Christian Frantz

  I gave up a previous method of creating cubes so I went with a list to hold my cube objects. The list is being populated from an array like so: #region MAP float[,] map = { {0, 0, 0, 0, 0}, {0, 0, 0, 0, 0}, {0, 0, 0, 0, 0}, {0, 0, 0, 0, 0}, {0, 0, 0, 0, 0} }; #endregion MAP for (int x = 0; x < mapWidth; x++) { for (int z = 0; z < mapHeight; z++) { cubes.Add(new Cube(device, new Vector3(x, map[x,z], z), Color.Green)); } } The cube follows all the parameters of what I had before. This is just easier to deal with. But when I debug, every cube has a position of (0, 0, 0) and there's just one black cube in the middle of my screen. What could I be doing wrong here? public Vector3 cubePosition { get; set; } public Cube(GraphicsDevice graphicsDevice, Vector3 Position, Color color) { device = graphicsDevice; color = Color.Green; Position = cubePosition; SetUpIndices(); SetUpVerticesArray(); } That's the cube constructor. All variables are being passed correctly I think

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• Manipulating Perlin Noise

  - by Numeri

  I've been learning about Procedurally Generated Content lately (in particular, Perlin noise). Perlin noise works great for making things like landscapes, height maps, and stuff like that. But now I am trying to generate structures more like mountain ranges (in 2D, as 3D would be way over my head right now) or underground veins of ores. I can't manage to manipulate Perlin Noise to do this. Making a cut off point (i.e. using only the tops of the 'mountains' of a heightmap) wouldn't work, because I would get lumps of mountains/veins. Any suggestions? Thanks, Numeri

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• HTML5 Canvas Game Timer

  - by zghyh

  How to create good timer for HTML5 Canvas games? I am using RequestAnimationFrame( http://paulirish.com/2011/requestanimationframe-for-smart-animating/ ) But object's move too fast. Something like my code is: http://pastebin.com/bSHCTMmq But if I press UP_ARROW player don't move one pixel, but move 5, 8, or 10 or more or less pixels. How to do if I press UP_ARROW player move 1 pixel? Thanks for help.

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• 2d shapes in XNA 4.0?

  - by Lautaro

  Having some experience of XNA but none of 3D programming. I have an idea i want to realize but i have not decided to do it in 3d or 2d. Im not sure which one will be best in XNA. I want to have a shape like a blob that can reshape depending on input. The morphing does not need to be very advanced. It could be a circle (2d) or globe (3d) that just has one point that moves slightly in a random direction. In ASP.NET i have made this through the 2d Draw classes where i can make lines, circles, squares etc and then modify the points that makes them up. But it seems to me that XNA does not have classes for making 2d shapes (can i get this confirmed?). If it had, then this would be the quickest solution for me.

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• Game Code Design for Rendering

  - by kuroutadori

  I first created a game on the iPhone and I'm now porting it to Android. I wrote most of the code in C++, but when it came to porting it wasn't so easy. The Android way is to have two threads, one for rendering and one for updating. This due to some devices blocking when updating the hardware. My problem is that I am coming from the iPhone. When I transition, say from the Menu to the Game, I would stop the Animation (Rendering) and load up the next Manager (the Menu has a Manager and so has the Game). I could implement the same thing on Android, but I have noticed on game ports like Quake, don't do this - as far as I can tell. I have learnt that I cannot just dynamically add another Renderer class the the tree because I will probably get a dequeuing buffer error - which I believe to be a problem with the OpenGL ES side. So how is it done?

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• isometric background that covers the viewport [on hold]

  - by Richard

  The background image should cover the viewport. The technique I use now is a loop with an innerloop that draws diamond shaped images on a canvas element, but it looks like a rotated square. This is a nice example: ,that covers the whole viewport. I have heard something about clickthrough maps, but what more ways are there that are most efficient with mobile devices and javascript? Any advice in grid design out there?.

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• How do I get the child of a unique parent in ActionScript?

  - by Koen

  My question is about targeting a child with a unique parent. For example. Let's say I have a box people can move called box_mc and 3 platforms it can jump on called: Platform_1 Platform_2 Platform_3 All of these platforms have a child element called hit. Platform_1 Hit Platform_2 Hit Platform_3 Hit I use an array and a for each statement to detect if box_mc hits one of the platforms childs. var obj_arr:Array = [Platform_1, Platform_2, Platform_3]; for each(obj in obj_arr){ if(box_mc.hitTestObject(obj.hit)){ trace(obj + " " + obj.hit); box_mc.y = obj.hit.y - box_mc.height; } } obj seems to output the unique parent it is hitting but obj.hit ouputs hit, so my theory is that it is applying the change of y to all the childs called hit in the stage. Would it be possible to only detect the child of that specific parent?

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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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• My frustum culling is culling from the wrong point

  - by Xbetas

  I'm having problems with my frustum being in the wrong origin. It follows the rotation of my camera but not the position. In my camera class I'm generating a view-matrix: void Camera::Update() { UpdateViewMatrix(); glMatrixMode(GL_MODELVIEW); //glLoadIdentity(); glLoadMatrixf(GetViewMatrix().m); } Then extracting the planes using the projection matrix and modelview matrix: void UpdateFrustum() { Matrix4x4 projection, model, clip; glGetFloatv(GL_PROJECTION_MATRIX, projection.m); glGetFloatv(GL_MODELVIEW_MATRIX, model.m); clip = model * projection; m_Planes[RIGHT][0] = clip.m[ 3] - clip.m[ 0]; m_Planes[RIGHT][1] = clip.m[ 7] - clip.m[ 4]; m_Planes[RIGHT][2] = clip.m[11] - clip.m[ 8]; m_Planes[RIGHT][3] = clip.m[15] - clip.m[12]; NormalizePlane(RIGHT); m_Planes[LEFT][0] = clip.m[ 3] + clip.m[ 0]; m_Planes[LEFT][1] = clip.m[ 7] + clip.m[ 4]; m_Planes[LEFT][2] = clip.m[11] + clip.m[ 8]; m_Planes[LEFT][3] = clip.m[15] + clip.m[12]; NormalizePlane(LEFT); m_Planes[BOTTOM][0] = clip.m[ 3] + clip.m[ 1]; m_Planes[BOTTOM][1] = clip.m[ 7] + clip.m[ 5]; m_Planes[BOTTOM][2] = clip.m[11] + clip.m[ 9]; m_Planes[BOTTOM][3] = clip.m[15] + clip.m[13]; NormalizePlane(BOTTOM); m_Planes[TOP][0] = clip.m[ 3] - clip.m[ 1]; m_Planes[TOP][1] = clip.m[ 7] - clip.m[ 5]; m_Planes[TOP][2] = clip.m[11] - clip.m[ 9]; m_Planes[TOP][3] = clip.m[15] - clip.m[13]; NormalizePlane(TOP); m_Planes[NEAR][0] = clip.m[ 3] + clip.m[ 2]; m_Planes[NEAR][1] = clip.m[ 7] + clip.m[ 6]; m_Planes[NEAR][2] = clip.m[11] + clip.m[10]; m_Planes[NEAR][3] = clip.m[15] + clip.m[14]; NormalizePlane(NEAR); m_Planes[FAR][0] = clip.m[ 3] - clip.m[ 2]; m_Planes[FAR][1] = clip.m[ 7] - clip.m[ 6]; m_Planes[FAR][2] = clip.m[11] - clip.m[10]; m_Planes[FAR][3] = clip.m[15] - clip.m[14]; NormalizePlane(FAR); } void NormalizePlane(int side) { float length = 1.0/(float)sqrt(m_Planes[side][0] * m_Planes[side][0] + m_Planes[side][1] * m_Planes[side][1] + m_Planes[side][2] * m_Planes[side][2]); m_Planes[side][0] /= length; m_Planes[side][1] /= length; m_Planes[side][2] /= length; m_Planes[side][3] /= length; } And check against it with: bool PointInFrustum(float x, float y, float z) { for(int i = 0; i < 6; i++) { if( m_Planes[i][0] * x + m_Planes[i][1] * y + m_Planes[i][2] * z + m_Planes[i][3] <= 0 ) return false; } return true; } Then i render using: camera->Update(); UpdateFrustum(); int numCulled = 0; for(int i = 0; i < (int)meshes.size(); i++) { if(!PointInFrustum(meshCenter.x, meshCenter.y, meshCenter.z)) { meshes[i]->SetDraw(false); numCulled++; } else meshes[i]->SetDraw(true); } What am i doing wrong?

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• Isometric projection bad coordonate

  - by Christophe Debove

  I have a 2D map, for each element I apply this isometric projection to place my Sprite //Element e; float[] f= projection(e.getX(), e.getY() ,z); // x and y represent Sprite Coordonate (tile_width and height depend of my // camera size and the number of elements in x and in y float x = f[0]*tile_width; float y = f[1]*tile_height; public float[] projection(float x, float y, float z) { return new float[]{ (( x )-(y) ) , ((x/2) + (y/2) - z )}; } the sprite for one element : The result of my projection : The problem is I need to add an offset of tile_height/2 to the y and tile_width/2 to the x to have something like this (in the red rectangle I drawed with paint what I want) : Where did I make wrong? (I found the projection method in How should I sort images in an isometric game so that they appear in the correct order? )

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• Split vector vs matrix notation for transformation

  - by seahorse

  Some rendering engines like Ogre prefer to use a individual vector based notation for transformations like the following Split vector notation: Net Transformation is represented by Scale vector = sx, sy, sz Transformation vector = tx, ty, tz Rotation Quaternion Vector = w,x,y,z Matrix notation: There are other engines which simply use a net combined transformation matrix. What are the advantages of the first notation over the second? Also for animation interpolation does it work in the first notation that we interpolate across the individual components and use the interpolated parts to get the net transformation? Is this another advantage?

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• OpenGL fovx question

  - by Nick

  To boil my question down to the simplest form, I fear I am oversimplifying how mat4 perspective works. I am using mat4.perspective(45, 2, 0.1, 1000.0) (the binding is WebGL fwiw). With a fovy of 45, and an aspect ratio of 2, I expect to have a fovx of 90. Thus, if I position my camera at (0, 0, 50), looking towards the origin, I expect to see a cube positioned at (50, 0, 0) (45 degrees) right at the very periphery of my screen, half on, half off,. Instead, a cube at (50, 0, 0) is totally off screen, and my actually periphery occurs at about (41.1, 0, 0). What am I missing here? Thanks, nick

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• Opposite Force to Apply to a Collided Rigid Body?

  - by Milo

  I'm working on the physics for my GTA2-like game so I can learn more about game physics. The collision detection and resolution are working great. I'm now just unsure how to compute the force to apply to a body after it collides with a wall. My rigid body looks like this: /our simulation object class RigidBody extends Entity { //linear private Vector2D velocity = new Vector2D(); private Vector2D forces = new Vector2D(); private float mass; private Vector2D v = new Vector2D(); //angular private float angularVelocity; private float torque; private float inertia; //graphical private Vector2D halfSize = new Vector2D(); private Bitmap image; private Matrix mat = new Matrix(); private float[] Vector2Ds = new float[2]; private Vector2D tangent = new Vector2D(); private static Vector2D worldRelVec = new Vector2D(); private static Vector2D relWorldVec = new Vector2D(); private static Vector2D pointVelVec = new Vector2D(); private static Vector2D acceleration = new Vector2D(); public RigidBody() { //set these defaults so we don't get divide by zeros mass = 1.0f; inertia = 1.0f; setLayer(LAYER_OBJECTS); } protected void rectChanged() { if(getWorld() != null) { getWorld().updateDynamic(this); } } //intialize out parameters public void initialize(Vector2D halfSize, float mass, Bitmap bitmap) { //store physical parameters this.halfSize = halfSize; this.mass = mass; image = bitmap; inertia = (1.0f / 20.0f) * (halfSize.x * halfSize.x) * (halfSize.y * halfSize.y) * mass; RectF rect = new RectF(); float scalar = 10.0f; rect.left = (int)-halfSize.x * scalar; rect.top = (int)-halfSize.y * scalar; rect.right = rect.left + (int)(halfSize.x * 2.0f * scalar); rect.bottom = rect.top + (int)(halfSize.y * 2.0f * scalar); setRect(rect); } public void setLocation(Vector2D position, float angle) { getRect().set(position.x,position.y, getWidth(), getHeight(), angle); rectChanged(); } public Vector2D getPosition() { return getRect().getCenter(); } @Override public void update(float timeStep) { doUpdate(timeStep); } public void doUpdate(float timeStep) { //integrate physics //linear acceleration.x = forces.x / mass; acceleration.y = forces.y / mass; velocity.x += (acceleration.x * timeStep); velocity.y += (acceleration.y * timeStep); //velocity = Vector2D.add(velocity, Vector2D.scalarMultiply(acceleration, timeStep)); Vector2D c = getRect().getCenter(); v.x = getRect().getCenter().getX() + (velocity.x * timeStep); v.y = getRect().getCenter().getY() + (velocity.y * timeStep); setCenter(v.x, v.y); forces.x = 0; //clear forces forces.y = 0; //angular float angAcc = torque / inertia; angularVelocity += angAcc * timeStep; setAngle(getAngle() + angularVelocity * timeStep); torque = 0; //clear torque } //take a relative Vector2D and make it a world Vector2D public Vector2D relativeToWorld(Vector2D relative) { mat.reset(); Vector2Ds[0] = relative.x; Vector2Ds[1] = relative.y; mat.postRotate(JMath.radToDeg(getAngle())); mat.mapVectors(Vector2Ds); relWorldVec.x = Vector2Ds[0]; relWorldVec.y = Vector2Ds[1]; return relWorldVec; } //take a world Vector2D and make it a relative Vector2D public Vector2D worldToRelative(Vector2D world) { mat.reset(); Vector2Ds[0] = world.x; Vector2Ds[1] = world.y; mat.postRotate(JMath.radToDeg(-getAngle())); mat.mapVectors(Vector2Ds); worldRelVec.x = Vector2Ds[0]; worldRelVec.y = Vector2Ds[1]; return worldRelVec; } //velocity of a point on body public Vector2D pointVelocity(Vector2D worldOffset) { tangent.x = -worldOffset.y; tangent.y = worldOffset.x; pointVelVec.x = (tangent.x * angularVelocity) + velocity.x; pointVelVec.y = (tangent.y * angularVelocity) + velocity.y; return pointVelVec; } public void applyForce(Vector2D worldForce, Vector2D worldOffset) { //add linear force forces.x += worldForce.x; forces.y += worldForce.y; //add associated torque torque += Vector2D.cross(worldOffset, worldForce); } @Override public void draw( GraphicsContext c) { c.drawRotatedScaledBitmap(image, getPosition().x, getPosition().y, getWidth(), getHeight(), getAngle()); } public Vector2D getVelocity() { return velocity; } public void setVelocity(Vector2D velocity) { this.velocity = velocity; } } The way it is given force is by the applyForce method, this method considers angular torque. I'm just not sure how to come up with the vectors in the case where: RigidBody hits static entity RigidBody hits other RigidBody that may or may not be in motion. Would anyone know a way (without too complex math) that I could figure out the opposite force I need to apply to the car? I know the normal it is colliding with and how deep it collided. My main goal is so that say I hit a building from the side, well the car should not just stay there, it should slowly rotate out of it if I'm more than 45 degrees. Right now when I hit a wall I only change the velocity directly which does not consider angular force. Thanks!

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