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  • Island Generation Library

    - by thatguy
    Can anyone recommend a tile map generator (written in Java is a plus), where one can control some land types? For example: islands, large continents, singe large continent, archipelago, etc. I've been reading through many posts on the subject, it almost seems like many are just rolling their own. Before creating my own, I'm wondering if there's already an open source implementation that I might not be finding. If not, it seems like using Perlin Noise is a popular choice. Some articles I've been reading: http://simblob.blogspot.com/2010/01/simple-map-generation.html Generate islands/continents with simplex noise https://sites.google.com/site/minecraftlandgenerator/

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  • Algorithm for waypoint path following?

    - by Thierry Savard Saucier
    I have a worldmap, with different cities on it. The player can choose a city from a menu, or click on an available cities on the world map, and the toon should walk over there. I want him to follow a predefined path. Lets say our hero is on the city 1. He clicks on city 4. I want him to follow the path to city 2 and from there to city 4. I was handling this easily with arrow movement (left right top bottom) since its a single check. Now I'm not sure how I should do this. Should I loop threw each possible path and check which one leads me to D the fastest ... and if I do how do I avoid running in circle forever with cities 1-5-2 ?

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  • Why does Unity3D crash in VirtualBox?

    - by FakeRainBrigand
    I'm running Unity3D in a virtual instance of Windows, using the Virtual Box software on Linux. I have guest additions installed with DirectX support. I've tried using Windows XP SP3 32-bit, and Windows 7 64bit. My host is Ubuntu 12.04 64bit. I installed and registered Unity on both. It loads up fine, and then crashes my entire VirtualBox instance (equivalent of a computer shutting off with no warning).

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  • SDL_image & OpenGL Problem

    - by Dylan
    i've been following tutorials online to load textures using SDL and display them on a opengl quad. but ive been getting weird results that no one else on the internet seems to be getting... so when i render the texture in opengl i get something like this. http://www.kiddiescissors.com/after.png when the original .bmp file is this: http://www.kiddiescissors.com/before.bmp ive tried other images too, so its not that this particular image is corrupt. it seems like my rgb channels are all jumbled or something. im pulling my hair out at this point. heres the relevant code from my init() function if ( SDL_Init(SDL_INIT_VIDEO) != 0 ) { return 1; } SDL_GL_SetAttribute(SDL_GL_DOUBLEBUFFER, 1); SDL_GL_SetAttribute( SDL_GL_RED_SIZE, 8 ); SDL_GL_SetAttribute( SDL_GL_GREEN_SIZE, 8 ); SDL_GL_SetAttribute( SDL_GL_BLUE_SIZE, 8 ); SDL_GL_SetAttribute( SDL_GL_ALPHA_SIZE, 8 ); SDL_GL_SetAttribute(SDL_GL_MULTISAMPLEBUFFERS, 1); SDL_GL_SetAttribute(SDL_GL_MULTISAMPLESAMPLES, 4); SDL_SetVideoMode(WINDOW_WIDTH, WINDOW_HEIGHT, 32, SDL_HWSURFACE | SDL_GL_DOUBLEBUFFER | SDL_OPENGL); glMatrixMode(GL_PROJECTION); glLoadIdentity(); gluPerspective(50, (GLfloat)WINDOW_WIDTH/WINDOW_HEIGHT, 1, 50); glMatrixMode(GL_MODELVIEW); glLoadIdentity(); glEnable(GL_DEPTH_TEST); glEnable(GL_MULTISAMPLE); glEnable(GL_TEXTURE_2D); glTexEnvi(GL_TEXTURE_ENV, GL_TEXTURE_ENV_MODE, GL_MODULATE); glBlendFunc(GL_ONE, GL_ONE_MINUS_SRC_ALPHA); glEnable(GL_BLEND); heres the code that is called when my main player object (the one with which this sprite is associated) is initialized texture = 0; SDL_Surface* surface = IMG_Load("i.bmp"); glGenTextures(1, &texture); glBindTexture(GL_TEXTURE_2D, texture); glTexImage2D(GL_TEXTURE_2D, 0, GL_RGB, surface->w, surface->h, 0, GL_RGB, GL_UNSIGNED_BYTE, surface->pixels); glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_MIN_FILTER, GL_LINEAR); glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_MAG_FILTER, GL_LINEAR); SDL_FreeSurface(surface); and then heres the relevant code from my display function glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT); glLoadIdentity(); glColor4f(1, 1, 1, 1); glPushMatrix(); glBindTexture(GL_TEXTURE_2D, texture); glTranslatef(getCenter().x, getCenter().y, 0); glRotatef(getAngle()*(180/M_PI), 0, 0, 1); glTranslatef(-getCenter().x, -getCenter().y, 0); glBegin(GL_QUADS); glTexCoord2f(0, 0); glVertex3f(getTopLeft().x, getTopLeft().y, 0); glTexCoord2f(0, 1); glVertex3f(getTopLeft().x, getTopLeft().y + size.y, 0); glTexCoord2f(1, 1); glVertex3f(getTopLeft().x + size.x, getTopLeft().y + size.y, 0); glTexCoord2f(1, 0); glVertex3f(getTopLeft().x + size.x, getTopLeft().y, 0); glEnd(); glPopMatrix(); let me know if i left out anything important... or if you need more info from me. thanks a ton, -Dylan

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  • How to run the pixel shader effcet??

    - by Yashwinder
    Below stated is the code for my pixel shader which I am rendering after the vertex shader. I have set the wordViewProjection matrix in my program but I don't know to set the progress variable i.e in my pixel shader file which will make the image displayed by the help of a quad to give out transition effect. Here is the code for my pixel shader program::: As my pixel shader is giving a static effect and now I want to use it to give some effect. So for this I have to add a progress variable in my pixel shader and initialize to the Constant table function i.e constantTable.SetValue(D3DDevice,"progress",progress ); I am having the problem in using this function for progress in my program. Anybody know how to set this variable in my program. And my new pixel Shader code is float progress : register(C0); sampler2D implicitInput : register(s0); sampler2D oldInput : register(s1); struct VS_OUTPUT { float4 Position : POSITION; float4 Color : COLOR0; float2 UV : TEXCOORD 0; }; float4 Blinds(float2 uv) { if(frac(uv.y * 5) < progress) { return tex2D(implicitInput, uv); } else { return tex2D(oldInput, uv); } } // Pixel Shader { return Blinds(input.UV); }

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  • About Alpha blending sprites in Direct3D9

    - by ambrozija
    I have a Direct3D9 application that is rendering ID3DXSprites. The problem I am experiencing is best described in this situation: I have a texture that is totally opaque. On top of it I draw a rectangle filled with solid color and alpha of 128. On top of the rectangle I have a text that is totally opaque. I draw all of this and get the resulting image through GetRenderTarget call. The problem is that on the resulting image, on the area where the transparent rectangle is, I have semi transparent pixels. It is not a problem that the rectangle is transparent, the problem is that the resulting image is. The question is how to setup the blending so in this situation I don't get the transparent pixels in the resulting image? I use the sprite with D3DXSPRITE_ALPHABLEND which sets the device state to D3DBLEND_SRCALPHA and D3DBLEND_INVSRCALPHA. I tried couple of combinations of SetRenderState, like D3DBLEND_SRCALPHA, D3DBLEND_DESTALPHA etc., but couldn't make it work. Thanks.

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  • Algorithm to find average position

    - by Simran kaur
    In the given diagram, I have the extreme left and right points, that is -2 and 4 in this case. So, obviously, I can calculate the width which is 6 in this case. What we know: The number of partitions:3 in this case The partition number at at any point i.e which one is 1st,second or third partition (numbered starting from left) What I want: The position of the purple line drawn which is positio of average of a particular partition So, basically I just want a generalized formula to calculate position of the average at any point.

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  • Implementing a multilanguage AI contest platform

    - by Alejandro Piad
    This is a followup to this question. To sum: I'm implementing an AI contest site, where each user may submit several AI implementations for different games. Think about Google AI Challenge but instead of just having a big event once a year, I would like it more on a league fashion, with all virtual players playing with each other every some close period of time. I want to support as many programming languages as possible. I've seen that contest sites (like codeforces) ask you to submit a source code and interact through stdin and stdout. The first question is: what is the best way of supporting multiple languages? As I see it, I can either ask people to upload some binary/script, and interact either through stdin/*stdout*, or sockets, or the file system; or ask people to submit source code, and wrap it with whatever is necessary for the interaction. I would like to skip the need to compile the code by myself (in the server, I mean), but I am willing to do it if its the "best" choice. I need to comunicate virtual players with each other, or even better, with some intermediary arbiter. The second question is regarding security. If I'm going to be running user code in my server, I want to ensure strict security conditions, like no file system access, no networking, etc. Otherwise it would be a safe heaven for hackers. I will be implementing the engine/arbiter in .NET. I would like to support at least C#, C++, Java and Python for the user's implementations. I'm willing to write interfaces for each of these languages to simplify the user interaction with the system. Thanks in advance.

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  • Why is my Simplex Noise appearing in four columns?

    - by Joe the Person
    I'm trying to make a Texture out of Simplex noise, but it keeps appearing like this regardless of how big or small scale is: The following code is used to produce the image's color date: private Color[,] GetSimplex() { Color[,] colors = new Color[800, 600]; float scale = colors.GetLength(0); for (int x = 0; x < 800; x++) { for (int y = 0; y < 600; y++) { byte noise = (byte)(Noise.Generate(x / scale, y / scale) * 255); colors[x, y] = new Color(noise, noise, noise); } } return colors; }

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  • add collision detection to sprite?

    - by xBroak
    bassically im trying to add collision detection to the sprite below, using the following: self.rect = bounds_rect collide = pygame.sprite.spritecollide(self, wall_list, False) if collide: # yes print("collide") However it seems that when the collide is triggered it continuously prints 'collide' over and over when instead i want them to simply not be able to walk through the object, any help? def update(self, time_passed): """ Update the creep. time_passed: The time passed (in ms) since the previous update. """ if self.state == Creep.ALIVE: # Maybe it's time to change the direction ? # self._change_direction(time_passed) # Make the creep point in the correct direction. # Since our direction vector is in screen coordinates # (i.e. right bottom is 1, 1), and rotate() rotates # counter-clockwise, the angle must be inverted to # work correctly. # self.image = pygame.transform.rotate( self.base_image, -self.direction.angle) # Compute and apply the displacement to the position # vector. The displacement is a vector, having the angle # of self.direction (which is normalized to not affect # the magnitude of the displacement) # displacement = vec2d( self.direction.x * self.speed * time_passed, self.direction.y * self.speed * time_passed) self.pos += displacement # When the image is rotated, its size is changed. # We must take the size into account for detecting # collisions with the walls. # self.image_w, self.image_h = self.image.get_size() global bounds_rect bounds_rect = self.field.inflate( -self.image_w, -self.image_h) if self.pos.x < bounds_rect.left: self.pos.x = bounds_rect.left self.direction.x *= -1 elif self.pos.x > bounds_rect.right: self.pos.x = bounds_rect.right self.direction.x *= -1 elif self.pos.y < bounds_rect.top: self.pos.y = bounds_rect.top self.direction.y *= -1 elif self.pos.y > bounds_rect.bottom: self.pos.y = bounds_rect.bottom self.direction.y *= -1 self.rect = bounds_rect collide = pygame.sprite.spritecollide(self, wall_list, False) if collide: # yes print("collide") elif self.state == Creep.EXPLODING: if self.explode_animation.active: self.explode_animation.update(time_passed) else: self.state = Creep.DEAD self.kill() elif self.state == Creep.DEAD: pass #------------------ PRIVATE PARTS ------------------# # States the creep can be in. # # ALIVE: The creep is roaming around the screen # EXPLODING: # The creep is now exploding, just a moment before dying. # DEAD: The creep is dead and inactive # (ALIVE, EXPLODING, DEAD) = range(3) _counter = 0 def _change_direction(self, time_passed): """ Turn by 45 degrees in a random direction once per 0.4 to 0.5 seconds. """ self._counter += time_passed if self._counter > randint(400, 500): self.direction.rotate(45 * randint(-1, 1)) self._counter = 0 def _point_is_inside(self, point): """ Is the point (given as a vec2d) inside our creep's body? """ img_point = point - vec2d( int(self.pos.x - self.image_w / 2), int(self.pos.y - self.image_h / 2)) try: pix = self.image.get_at(img_point) return pix[3] > 0 except IndexError: return False def _decrease_health(self, n): """ Decrease my health by n (or to 0, if it's currently less than n) """ self.health = max(0, self.health - n) if self.health == 0: self._explode() def _explode(self): """ Starts the explosion animation that ends the Creep's life. """ self.state = Creep.EXPLODING pos = ( self.pos.x - self.explosion_images[0].get_width() / 2, self.pos.y - self.explosion_images[0].get_height() / 2) self.explode_animation = SimpleAnimation( self.screen, pos, self.explosion_images, 100, 300) global remainingCreeps remainingCreeps-=1 if remainingCreeps == 0: print("all dead")

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  • Blur gets displaced compared to original image

    - by user1294203
    I have implemented a SSAO and I'm using a blur step to smooth it out. The problem is that the blurred texture is slightly displaced compared to the original. I'm blurring using a 4x4 kernel since that was my noise kernel in SSAO. The following is the blurring shader: float result = 0.0; for(int i = 0; i < 4; i++){ for(int j = 0; j < 4; j++){ vec2 offset = vec2(TEXEL_SIZE.x * i, TEXEL_SIZE.y * j); result += texture(aoSampler, TexCoord + offset).r; } } out_AO = vec4(vec3(0.0), result * 0.0625); Where TEXEL_SIZE is one over my window resolution. I was thinking that this is was an error based on how OpenGL counts the Texel center, so I tried displacing the texture coordinate I was using by 0.5 * TEXEL_SIZE, but there was still a slight displacement. The texture input to my blur shader, has wrap parameters: glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_WRAP_S, GL_CLAMP); glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_WRAP_T, GL_CLAMP); When I tell the blur shader to just output the the value of the pixel, the result is not displaced, so it must have something to do with how neighboring pixels are sampled. Any thoughts?

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  • Rotation based on x coordinate and x velocity?

    - by Lewis
    -(void) accelerometer:(UIAccelerometer *)accelerometer didAccelerate:(UIAcceleration *)acceleration { float deceleration = 0.3f, sensitivity = 8.0f, maxVelocity = 150; // adjust velocity based on current accelerometer acceleration playerVelocity.x = playerVelocity.x * deceleration + acceleration.x * sensitivity; // we must limit the maximum velocity of the player sprite, in both directions (positive & negative values) playerVelocity.x = fmaxf(fminf(playerVelocity.x, maxVelocity), -maxVelocity); } Hi, I want to rotate my sprite based on the velocity and accelerometer input. My sprite can move along the X axis like so: <--------- sprite ----------- But it always faces forwards, if it is moving left I want it to point slightly to the left, the degree of how far it is pointing to be judged from the velocity. This should also work for the right. I tried using atan but as the y velocity and position is always the same the function returns 0, which doesn't rotate it at all. Any ideas? Regards, Lewis.

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  • Making a surface transparent from blackness of texture

    - by Dan the Man
    I am making a "halo" shader in unity using GLSL. And I've come to a roadblock. What I need to do is take a texture, like the following, and make it transparent according to the darkness of it. And I don't want a cutout, because that cuts it off at a hard edge. This line of code doesn't seem to work. gl_FragColor = texture2D( vec4( _MainTex.r, _MainTex.g, _MainTex.b, _MainTex.a), vec2(textureCoordinates));

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  • SlimDX Texture2D from DataRectangle array

    - by Rebekah Bryant
    I'm totally new to DirectX. I'm using SlimDX to create a texture consisting of 13046 DataRectangles. Here's my code. It's breaking on the Texture2D constructor with "E_INVALIDARG: An invalid parameter was passed to the returning function (-2147024809)." inParms is just a struct containing handle to a Panel. public Renderer(Parameters inParms, ref DataRectangle[] inShapes) { Texture2DDescription description = new Texture2DDescription() { Width = 500, Height = 500, MipLevels = 1, ArraySize = inShapes.Length, Format = Format.R32G32B32_Float, SampleDescription = new SampleDescription(1, 0), Usage = ResourceUsage.Default, BindFlags = BindFlags.RenderTarget | BindFlags.ShaderResource, CpuAccessFlags = CpuAccessFlags.None, OptionFlags = ResourceOptionFlags.None }; SwapChainDescription chainDescription = new SwapChainDescription() { BufferCount = 1, IsWindowed = true, Usage = Usage.RenderTargetOutput, ModeDescription = new ModeDescription(0, 0, new Rational(60, 1), Format.R8G8B8A8_UNorm), SampleDescription = new SampleDescription(1, 0), Flags = SwapChainFlags.None, OutputHandle = inParms.Handle, SwapEffect = SwapEffect.Discard }; Device.CreateWithSwapChain(DriverType.Hardware, DeviceCreationFlags.None, chainDescription, out mDevice, out mSwapChain); Texture2D texture = new Texture2D(Device, description, inShapes); } EDIT: Running with the Debug flag set, I got: D3D11 ERROR: ID3D11Device::CreateTexture2D: The format (0x6, R32G32B32_FLOAT) cannot be bound as a RenderTarget, or cast to a format that could be bound as a RenderTarget. This is because the current graphics implementation does not even support this Format. Therefore this format does not support D3D11_BIND_RENDER_TARGET. Use CheckFormatSupport to check Format support. [ STATE_CREATION ERROR #92: CREATETEXTURE2D_UNSUPPORTEDFORMAT] D3D11 ERROR: ID3D11Device::CreateTexture2D: Returning E_INVALIDARG, meaning invalid parameters were passed. [ STATE_CREATION ERROR #104: CREATETEXTURE2D_INVALIDARG_RETURN]

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  • Is it possible to construct a cube with fewer than 24 vertices

    - by Telanor
    I have a cube-based world like Minecraft and I'm wondering if there's a way to construct a cube with fewer than 24 vertices so I can reduce memory usage. It doesn't seem possible to me for 2 reasons: the normals wouldn't come out right and per-face textures wouldn't work. Is this the case or am I wrong? Maybe there's some fancy new DX11 tech that can help? Edit: Just to clarify, I have 2 requirements: I need surface normals for each cube face in order to do proper lighting and I need a way to address a different indexes in a texture array for each cube face

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  • How should I do 3D games through Java on a mac?

    - by Steven Rogers
    I have been self-teaching myself Java on the mac mostly because the language is cross-platform. Recently, I have been only able to develop 2D games using the Graphics2D class. Now, I want to learn how to make 3D games in Java. I used to model and animate stuff in 3D, so my knowledge of 3-Dimensional stuff is okay. I have spent the last 3 hours using google to look up ways of making 3D games in java. Apparently the best one to use is OpenGL, so i looked up a tutorial on it and i cannot find a tutorial that shows how to (if there is a way) install JOGL on the Mac platform. Should i continue to use Java? How can i make 3D games using Java? What is the best way to make 3D games on a mac?

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  • 2D Tile Map for Platformer, XML or SQLite?

    - by Stephen Tierney
    I'm developing a 2D platformer with some uni friends. We've based it upon the XNA Platformer Starter Kit which uses .txt files to store the tile map. While this is simple it does not give us enough control and flexibility with level design. I'm doing some research into whether to store level data in an XML file or in a database like SQLite. Which would be the best for this situation? Do either have any drawbacks (performance etc) compared to the other?

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  • What does SetTextureStage(0, D3DTSS_COLORARG2, 0) in DirectX mean?

    - by Vite Falcon
    I'm trying to convert some DirectX code to Ogre3D and was wondering what the following translates to: pDev->SetTextureStage(0, D3DTSS_TEXCOORDINDEX, 0) pDev->SetTextureStage(0, D3DTSS_COLORARG1, D3DTA_TEXTURE) pDev->SetTextureStage(0, D3DTSS_COLOROP, D3DTOP_MODULATE) pDev->SetTextureStage(0, D3DTSS_COLORARG2, 0) What is the modulation operation happening here? Is the texture getting modulated with the background? Or is it getting zeroed? I've tried searching for what this means and unfortunately I haven't come across anything meaningful. Any help to shed light on this matter will be much appreciated.

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  • How do you calculate UVW coordinates?

    - by Jenko
    I'm working on a 3d engine and I'm calculating UVT coordinates, where U and V represent pixels on the texture measured in 0-1, and T is: T = perspective / Z But I'm trying to use this perspective-correct triangle rasteriser, which requires a W, per vertex. How do I calculate the W for each vertex for the drawPerspectiveTexturedPolygon() function? Hint: The code comments refer to W as the "homogenous coordinate" ... does that mean anything?

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  • Meaning of offset in pygame Mask.overlap methods

    - by Alan
    I have a situation in which two rectangles collide, and I have to detect how much did they collide so so I can redraw the objects in a way that they are only touching each others edges. It's a situation in which a moving ball should hit a completely unmovable wall and instantly stop moving. Since the ball sometimes moves multiple pixels per screen refresh, it it possible that it enters the wall with more that half its surface when the collision is detected, in which case i want to shift it position back to the point where it only touches the edges of the wall. Here is the conceptual image it: I decided to implement this with masks, and thought that i could supply the masks of both objects (wall and ball) and get the surface (as a square) of their intersection. However, there is also the offset parameter which i don't understand. Here are the docs for the method: Mask.overlap Returns the point of intersection if the masks overlap with the given offset - or None if it does not overlap. Mask.overlap(othermask, offset) -> x,y The overlap tests uses the following offsets (which may be negative): +----+----------.. |A | yoffset | +-+----------.. +--|B |xoffset | | : :

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  • Can I use DllImport/PInvoke in libraries loaded as Assets in Unity Free?

    - by sebf
    I am interested in using utilising third-party libraries in Unity Free. I know Unity can use managed libraries as Assets, but only the Pro version supports using native libraries. (DllImport within scripts). This thread however suggests that it is possible to import DLLs in the free version. I would like to utilise native libraries (as a hobbyist I cannot afford Pro), but want to do it the supported way so I don't have to worry about Unity 'fixing' this hole if that is what it is. Is there any supported way to use native libraries with Unity free? (i.e. does that thread suggest a workaround or is it a 'bug'? Is it supported to use DllImport/PInvoke in libraries loaded as assets? (could I create a wrapper myself?)

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  • Pong Collision Help in C# w/ XNA

    - by Ramses Brown
    Edit: My goal is to have it function like this: Ball hits 1st Quarter = rebounds higher (aka Y++) Ball hits 2nd Quarter = rebounds higher (using random value) Ball hits 3rd Quarter = rebounds lower (using random value) Ball hits 4th Quarter = rebounds lower (aka Y--) I'm currently using Rectangle Collision for my collision detection, and it's worked. Now I wish to expand it. Instead of it simply detecting whether or not the paddle/ball intersect, I want to make it so that it can determine what section of the paddle gets hit. I wanted it in 4 parts, with each having a different reaction to impact. My first thought is to base it on the Ball's Y position compared to the Paddle's Y position. But since I want it in 4 parts, I don't know how to do that. So it's essentially be if (ball.Y > Paddle.Y) { PaddleSection1 == true; } Except modified so that instead of being top half/bottom half, it's 1st Quarter, etc.

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  • Good book or tutorial for learning how to apply integration methods

    - by Cumatru
    I'm looking to animate a graph layout using edges as springs and nodes as weights ( a node with more links will have a bigger weight ). I'm not capable of wrapping my head around the usage of mathematical and physics relations in my application. As far as i read, Runge Kutta 4 ( preferably ) or Verlet will be a good choice, but i have problems with understanding how they really work, and what physics equations should i apply. If i can't understand them, i can't use them. I'm looking for a book or a tutorial which describe the things that i need.

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  • Who owns the intellectual property to Fragile Allegiance?

    - by analytik
    Fragile Allegiance was developed by Gremlin Interactive, which was later acquired by Infogrames (Atari). I couldn't find any details of the acquisition though. The only interesting thing I have found online is that the owner of the registered trademark Fragile Allegiance is Interplay, who published Fragile Allegiance. However, the only copyright note I've found was in one installation .ini file, claiming it for Gremlin. What are the common business practices when it comes to old, unused IPs? What do publishers/developers actually need to legally claim an intellectual property? Does anyone have an experience with contacting big publishers with copyright/IP inquiries? Related legal question.

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  • Partial recalculation of visibility on a 2D uniform grid

    - by Martin Källman
    Problem Imagine that we have a 2D uniform grid of dimensions N x N. For this grid we have also pre-computed a visibility look-up table, e.g. with DDA, which answers the boolean query is cell X visible from cell Y? The look-up table is a complete graph KN of the cells V in the grid, with each edge E being a binary value denoting the visibility between its vertices. Question If any given cell has its visibility modified, is it possible to extract the subset Edelta of edges which must have their visibility recomputed due to the change, so as to avoid a full-on recomputation for the entire grid? (Which is N(N-1) / 2 or N2 depending on the implementation) Update If is not possible to solve thi in closed form, then maintaining a separate mapping of each cell and every cell pair who's line intersects said cell might also be an option. This obviously consumes more memory, but the data is static. The increased memory requirement could be reduced by introducing a hierarchy, subdividing the grid into smaller parts, and by doing so the above mapping can be reused for each sub-grid. This would come at a cost in terms of increased computation relative to the number of subdivisions; also requiring a resumable ray-casting algorithm.

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