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• How to calculate Sin function quicker and more precisely?

  - by user1297181

  I want to calculate y(n)=32677Sin(45/1024•n), where y is an integer and n ranges from 0 to 2048. How can I make this process quicker and more precisely? Now I want to show you a reference answer: Since Sin(a+b)=Sin(a)Cos(b)+Cos(a)Sin(b) And Cos(a+b)=Cos(a)Cos(b)-Sin(a)Cos(b). So I can store Sin(45/1024•1) andCos(45/1024•1) `…

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• Confusion about Rotation matrices from Euler Angles

  - by xEnOn

  I am trying to learn more about Euler Angles so as to help myself in understanding how I can control my camera better in the game. I came across the following formula that converts Euler Angles to rotation matrices: In the equation, I could see that the first matrix from the left is the rotation matrix about x-axis, the second is about…

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• Subtext 2.5 is released!

  After more then one year since last release, we are happy to announce that the new version of Subtext, number 2.5, has just been released. The main features are the new dashboard, featuring the Ayendes formula for blog post popularity, and a improved site-wide search based on Lucene.net. More about that will be published shortly, in the…

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• How can I permute pairs across a set?

  - by sila

  I am writing a bet settling app in C# and WinForms. I have 6 selections, 4 of them have won. I know that using the following formula from Excel: =FACT(selections)/(FACT(selections-doubles))/FACT(doubles) This is coded into my app and working well: I can work out how many possible doubles (e.g., AB, AC, AD, AE, BC, BD, BE, etc.) need…

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• Scan-Line Z-Buffering Dilemma

  - by Belgin

  I have a set of vertices in 3D space, and for each I retain the following information: Its 3D coordinates (x, y, z). A list of pointers to some of the other vertices with which it's connected by edges. Right now, I'm doing perspective projection with the projecting plane being XY and the eye placed somewhere at (0, 0, d), with d…

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• Nearest color algorithm using Hex Triplet

  - by Lijo

  Following page list colors with names http://en.wikipedia.org/wiki/List_of_colors. For example #5D8AA8 Hex Triplet is "Air Force Blue". This information will be stored in a databse table (tbl_Color (HexTriplet,ColorName)) in my system Suppose I created a color with #5D8AA7 Hex Triplet. I need to get the nearest color available in…

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• Nice function for "rolling score up"?

  - by bobobobo

  I'm adding to the player's score, and I'm using a per-frame formula like: int score, displayedScore ;// score is ACTUAL score player has, // displayedScore is what is shown this frame to the player // (the creeping/"rolling" number) float disparity = score - displayedScore ; int d = disparity * .1f ; // add 1/10 of the…

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• Translate along local axis

  - by Aaron

  I have an object with a position matrix and a rotation matrix (derived from a quaternion, but I digress). I'm able to translate this object along world-relative vectors, but I'm trying to figure out how to translate it along local-relative vectors. So if the object is tilted 45 degrees around its Z-axis the vector (1,…

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• Isometric tile range aquisition

  - by Steve

  I'm putting together an isometric engine and need to cull the tiles that aren't in the camera's current view. My tile coordinates go from left to right on the X and top to bottom on the Y with (0,0) being the top left corner. If I have access to say the top left, top right, bot left and bot right corner coordinates, is…

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• Calculating angle between 2 vectors

  - by Error 454

  I am working on some movement AI where there are no obstacles and movement is restricted to the XY plane. I am calculating 2 vectors: v - the direction of ship 1 w - the vector pointing from the position of ship 1 to ship 2 I am then calculating the angle between these two vectors using the standard formula: arccos( v…

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• Using VBA to model data in Autodesk Inventor?

  - by user108478

  I have a close friend who is using a specific device that records the dimensions of an object as it is eroded and outputs the dimensional data to an excel sheet. The object is spherical in nature but is eroded from the top and bottom, so the shape is constantly changing and a single formula for surface area and volume…

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• In 3D camera math, calculate what Z depth is pixel unity for a given FOV

  - by badweasel

  I am working in iOS and OpenGL ES 2.0. Through trial and error I've figured out a frustum to where at a specific z depth pixels drawn are 1 to 1 with my source textures. So 1 pixel in my texture is 1 pixel on the screen. For 2d games this is good. Of course it means that I also factor in things like the size of…

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• Does Google counts backlinks from homepage to inside pages?

  - by SharkTheDark

  I have a site with good PR and my inside pages are getting increase of PR, but they don't have links pointing to them, only from my homepage. Does that means that Google counts ALL links on my homepage, including links to inside pages? Does it calculate inside pages PR with one coming from my domain, my homepage,…

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• How to syncronize two animations without delays

  - by GeKi

  I have one character idle animation running inside a game in a loop, over and over again. A a certain time I trigger another animation to be played, for the same character. The second animation won't play immediately, as will be a discontinuity in my character animation. First I wait for the idle animation to…

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• How can I compute the Big-O notation for a given piece of code?

  - by TheNew Rob Mullins

  So I just took a data structure midterm today and I was asked to determine the run time, in Big O notation, of the following nested loop: for (int i = 0; i < n-1; i++) { for(int j = 0; j < i; j++2) { //1 Statement } } I'm having trouble understanding the formula behind determining the…

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• Find the new coordinates using a starting point, a distance, and an angle

  - by dqhendricks

  Okay, say I have a point coordinate. var coordinate = { x: 10, y: 20 }; Now I also have a distance and an angle. var distance = 20; var angle = 72; The problem I am trying to solve is, if I want to travel 20 points in the direction of angle from the starting coordinate, how can I find what my new…

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• Size of an image imported with FreeImage

  - by KaiserJohaan

  I'm having abit of a brainfart and I can't quite grasp what I'm doing wrong. It's quite simple, I am importing an image with FreeImage (http://freeimage.sourceforge.net/) which has a method FreeImage_GetBits that returns a pointer to the first byte of the image data. I then try to load all the data…

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• How can I calculate the angle between two 2D vectors?

  - by Error 454

  I am working on some movement AI where there are no obstacles and movement is restricted to the XY plane. I am calculating two vectors, v, the facing direction of ship 1, and w, the vector pointing from the position of ship 1 to ship 2. I am then calculating the angle between these two vectors…

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• How do I find a unit vector of another in Java?

  - by Shijima

  I'm writing a Java formula based on this tutorial: 2-D elastic collisions without Trigonometry. I am in the section "Elastic Collisions in 2 Dimensions". Part of step 1 says: Next, find the unit vector of n, which we will call un. This is done by dividing by the magnitude of n. My below…

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• algoritm and structure pseucode [closed]

  - by user72759

  Create entries, which administers the test, which is 20 questions, the responses and fixed the 5 correct answer for each question. Write this test, if the execution of the algorithm to each recipe realisations change the order of questions and answers and responses are notified by user enters…

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• F1 Pit Pragmatics

  Occasionally, you just have to man up and deal with complex systems. In fact, sometimes you just need to sacrifice everything else in the name of performance. In Formula 1 Racing, each car has up to 100 sensors, transmitting around 30Gb of data over the course of a race (70% in real-time).…

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• Problem with currency formats and big numbers [on hold]

  - by user132750

  I am working on a dollars to euros/euros to dollars converter in C#. I got the formula, $ times 0.73361 = euro, and I have checked Google with the answers. They were right, (1 dollar equals 0.73 euros). However, it stops working properly when the dollar input value is higher than $1363.…

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• Laissez les bon temps rouler! (Microsoft BI Conference 2010)

  - by smisner

  "Laissez les bons temps rouler" is a Cajun phrase that I heard frequently when I lived in New Orleans in the mid-1990s. It means "Let the good times roll!" and encapsulates a feeling of happy expectation. As I met with many of my peers and new acquaintances at the Microsoft BI…

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• Laissez les bon temps rouler! (Microsoft BI Conference 2010)

  - by smisner

  Laissez les bons temps rouler" is a Cajun phrase that I heard frequently when I lived in New Orleans in the mid-1990s. It means "Let the good times roll!" and encapsulates a feeling of happy expectation. As I met with many of my peers and new acquaintances at the Microsoft BI…

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• Automatic hyperlink in Excel [closed]

  - by developer

  Hi All, Is it possible to hyperlink a url in excel automatically. I mean when the cell starts with something like http or www can I hyperlink that. Currently, I have to hit enter in the cell value in the formula bar to make the link as clickable. Also if I change the value…

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