formula editor - Page 101

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 y-axis and the third is about z-axis. From my understanding about ordinary matrix transformations, the later transformation is always applied to the right hand side. And if I'm right about this, then the above equation should have a rotation order starting from rotating about z-axis, y-axis, then finally x-axis. But, from the symbols it seems that the rotation order start rotating about x-axis, then y-axis, then finally z-axis. What should the actual order of the rotation be? Also, I am confuse about if the input vector, in this case, would be a row vector on the left, or a column vector on the right?

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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 meantime you can read how the search engine has been implemented using Lucene.net. Lots of improvements have been made to the codebase of Subtext for this release: ...Did you know that DotNetSlackers also publishes .net articles written by top known .net Authors? We already have over 80 articles in several categories including Silverlight. Take a look: here.

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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 < 0. By doing Z-Buffering, I need to find the depth of the point of a polygon (they're all planar) which corresponds to a certain pixel on the screen so I can hide the surfaces that are not visible. My questions are the following: How do I determine to which polygon does a pixel belong to so I could use the formula of the plane which contains the polygon to find the Z-coordinate? Are my data structures correct? Do I need to store something else entirely in order for this to work? I'm just projecting the vertices onto the projection plane and joining them with lines based on the pointer lists.

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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 difference, if( !d ) d = signum( disparity ) ; // last 10 go by 1's score += d ; Where inline int signum( float val ){ if( val > 0 ) return 1 ; else if( val < 0 ) return -1 ; else return 0 ; } So, it kind of works where it makes big changes rapidly, then it creeps in the last few one at a time. But I'm looking for better (or possibly well known?) score-creeping functions. Any one?

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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, 0, 0) would make it move to the upper right. For world-space translations I simply turn the movement vector into a matrix and multiply it by the position matrix: position_mat = translation_mat * position_mat. For local-space translations I'd think I'd have to use the rotation matrix into that formula, but I see the object spin around instead when I apply a translation over time no matter where I multiply the rotation matrix.

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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 there a formula or something I could use to determine which tiles fall in range? I've linked a picture of the layout of the tiles for reference. If there isn't one, or there's a better way to determine which tiles are on screen and which to cull, I'm all ears and am grateful for any ideas. I've got a few other methods I may be able to try such as checking the position of the tile against a rectangle. I pretty much just need something quick. Thanks for giving this a read =)

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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 the tbl_Color table. The expected anaser is "#5D8AA8 - Air Force Blue". This is because #5D8AA8 is the nearest color for #5D8AA7. Do we have any algorithm for finding the nearest color? How to write it using C# / Java? REFERENCE http://stackoverflow.com/questions/5440051/algorithm-for-parsing-hex-into-color-family http://stackoverflow.com/questions/6130621/algorithm-for-finding-the-color-between-two-others-in-the-colorspace-of-painte Suggested Formula: Suggested by @user281377. Choose the color where the sum of those squared differences is minimal (Square(Red(source)-Red(target))) + (Square(Green(source)-Green(target))) +(Square(Blue(source)-Blue(target)))

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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 . w / ( |v| |w| ) ) The problem I'm having is the nature of arccos only returning values between 0 and 180. This makes it impossible to determine whether I should turn left or right to face the other ship. Is there a better way to do this?

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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 finish and then I play my second animation. Now I have a smooth, continuous animation, BUT I have introduced a delay between my action and character animation. If I play the second animation right away as it is triggered, the character animation won't be continuous and smooth. I was thinking on breaking the idle animation in small pieces and also to have the same number of second action animations to match the last frame of the idle pieces. This won't solve the delay completely, only will minimize it a bit. So it's a magic formula of how can I get rid of this delay? Thanks.

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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 the quad and the size of the texture. For example if my sprite is a quad 32x32 pixels. The quad size is 3.2 units wide and tall. And the texcoords are 32 / the size of the texture wide and tall. Then the frustum is: matrixFrustum(-(float)backingWidth/frustumScale,(float)backingWidth/frustumScale, -(float)backingHeight/frustumScale, (float)backingHeight/frustumScale, 40, 1000, mProjection); Where frustumScale is 800 for a retina screen. Then at a distance of 800 from camera the sprite is pixel for pixel the same as photoshop. For 3d games sometimes I still want to be able to do this. But depending on the scene I sometimes need the FOV to be different things. I'm looking for a way to figure out what Z depth will achieve this same pixel unity for a given FOV. For this my mProjection is set using: matrixPerspective(cameraFOV, near, far, (float)backingWidth / (float)backingHeight, mProjection); With testing I found that at an FOV of 45.0 a Z of 38.5 is very close to pixel unity. And at an FOV of 30.0 a Z of 59.5 is about right. But how can I calculate a value that is spot on? Here's my matrixPerspecitve code: void matrixPerspective(float angle, float near, float far, float aspect, mat4 m) { //float size = near * tanf(angle / 360.0 * M_PI); float size = near * tanf(degreesToRadians(angle) / 2.0); float left = -size, right = size, bottom = -size / aspect, top = size / aspect; // Unused values in perspective formula. m[1] = m[2] = m[3] = m[4] = 0; m[6] = m[7] = m[12] = m[13] = m[15] = 0; // Perspective formula. m[0] = 2 * near / (right - left); m[5] = 2 * near / (top - bottom); m[8] = (right + left) / (right - left); m[9] = (top + bottom) / (top - bottom); m[10] = -(far + near) / (far - near); m[11] = -1; m[14] = -(2 * far * near) / (far - near); } And my mView is set using: lookAtMatrix(cameraPos, camLookAt, camUpVector, mView); * UPDATE * I'm going to leave this here in case anyone has a different solution, can explain how they do it, or why this works. This is what I figured out. In my system I use a 10th scale unit to pixels on non-retina displays and a 20th scale on retina displays. The iPhone is 640 pixels wide on retina and 320 pixels wide on non-retina (obsolete). So if I want something to be the full screen width I divide by 20 to get the OpenGL unit width. Then divide that by 2 to get the left and right unit position. Something 32 units wide centered on the screen goes from -16 to +16. Believe it or not I have an excel spreadsheet do all this math for me and output all the vertex data for my sprite sheet. It's an arbitrary thing I made up to do .1 units = 1 non-retina pixel or 2 retina pixels. I could have made it .01 units = 2 pixels and someday I might switch to that. But for now it's the other. So the width of the screen in units is 32.0, and that means the left most pixel is at -16.0 and the right most is at 16.0. After messing a bit I figured out that if I take the [0] value of an identity modelViewProjection matrix and multiply it by 16 I get the depth required to get 1:1 pixels. I don't know why. I don't know if the 16 is related to the screen size or just a lucky guess. But I did a test where I placed a sprite at that calculated depth and varied the FOV through all the valid values and the object stays steady on screen with 1:1 pixels. So now I'm just calculating the unityDepth that way. If someone gives me a better answer I'll checkmark it.

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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, too? Also, if inside pages that got high PR from homepage have link back to homepage, will that increase homepage PR additionally, since those links should count too? By Google PR algorithm formula, by calculations on Wikipedia and Stanford PR algorithm explanation ( which is originally developed by ) it counts those links, and also it counts after-increase backlink again, making few times circle ( it stops because of d ( 0.85 ) factor. ), but it counts them. Does anyone know is this correct?

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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 run time. I thought that since the inner loop has 1 statement, and using the series equation of: (n * (n - 1)) / 2, I figured it to be: 1n * (n-1) / 2. Thus equaling (n^2 - 1) / 2. And so I generalized the runtime to be O(n^2 / 2). I'm not sure this is right though haha, was I supposed to divide my answer again by 2 since j is being upped in intervals of 2? Or is my answer completely off?

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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 would not work. This is where Inventor comes in. My friend can plug the dimensional data to Inventor and it immediately returns the surface area and volume. The erosion process takes several minutes to complete and records data at very short intervals, so it would be very arduous to plug in the data thousand of time. Since Inventor supports macros and VBA, is there a way to plug the data into Inventor and output it into another spreadsheet? Any suggestions would be appreciated.

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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 coordinates will be? I know the answer involves things like sin/cosin, because I used to know how to do this, but I have since forgotten the formula. Can anyone help?

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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 into memory using (bitsperpixel / 8) * pixelsWidth ' pixelHeight, like this: uint32_t bitsPerPixel = FreeImage_GetBPP(bitmap); // resolves to 24 uint32_t widthInPixels = FreeImage_GetWidth(bitmap); // resolves to 1024 uint32_t heightInPixels = FreeImage_GetHeight(bitmap); // resolves to 1024 // container is a std::vector<uint8_t> pkgMaterial.mTextureData.insert(pkgMaterial.mTextureData.begin(), FreeImage_GetBits(bitmap), FreeImage_GetBits(bitmap) + ((bitsPerPixel/8) * widthInPixels * heightInPixels)); I have a jpg which is 31 kilobytes in size on disc. Yet when I load it using the above formula, I see the vector is then filled with 3145728 bytes, which is approx 3145 kilobytes. What am I doing wrong?

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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 the correct answer. 2. Writin' example, where the line 2 is used stack. Create a stack of 20 items that the first element is 1, and the next is calculated by the formula an=an-1+1/an-1. Found this stack items that are whole numbers.

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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 using the formula arccos((v · w) / (|v| · |w|)) The problem I'm having is that arccos only returns values between 0° and 180°. This makes it impossible to determine whether I should turn left or right to face the other ship. Is there a better way to do this?

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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 code represents the normal vector of 2 objects (I'm using a simple array to represent the normal vector). int[] normal = new int[2]; normal[0] = ball2.x - ball1.x; normal[1] = ball2.y - ball1.y; I am unsure what the tutorial means by dividing the magnitude of n to get the un. What is un? How can I calculate it with my Java array?

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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). This data is then processed by no less than 3 servers (per car) so that the engineers in the pit have access to telemetry, strategy information, timing feeds, while the servers are exposed to carbon dust, oil,...Did you know that DotNetSlackers also publishes .net articles written by top known .net Authors? We already have over 80 articles in several categories including Silverlight. Take a look: here.

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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. This is what I get with $1364: $1364 = 1 000,64 €. I don't know what to do, will someone please help me? Thanks. decimal toEuro; Val.doy = "$" + decimal.Parse(richTextBox1.Text); //Ignore this, it's for the output form CultureInfo eu = new CultureInfo("fr-FR"); toEuro = decimal.Parse(richTextBox1.Text.Trim()); toEuro = toEuro * 0.73361m; richTextBox1.Clear(); Val.duh = toEuro.ToString("C2", eu);

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help Add Any Application Shortcut in Desktop Context Menu

- by blackjack

i got the info here but after adding that i didn't get any shortcut on my desktop contest menu :( pls help me i want it only on my desktop context menu Open regedit and goto: CODEHKEY_CLASSES_ROOT\Directory\Background\shell now under this key create another key with any name and in right-side pane set its value to the label, which you want to show in desktop context menu, like Media Player, Winamp, Firefox, anything else. Now create another key under this newly created key with name command. and in right-side pane set its value to the exact path of application, like: C:\Program Files\Windows Media Player\wmplayer.exe C:\Program Files\Winamp\winamp.exe etc... Thats it. Now you can check your favorite application shortcut in desktop context menu. You can create as many shortcut as you want. Simply create a separate key for all the applications. Following is a ready-made code: CODEWindows Registry Editor Version 5.00 [HKEY_CLASSES_ROOT\Directory\Background\shell\WMP] @="Windows Media Player" [HKEY_CLASSES_ROOT\Directory\Background\shell\WMP\command] @="C:\Program Files\Windows Media Player\wmplayer.exe" Just change the label and path to ur desired application and save with the name "vishal.reg" (including the quotes) and run it. U can also set the application shortcut to show only when u press key by adding "Extended" String value in right-side pane of the newly created key: CODEWindows Registry Editor Version 5.00 [HKEY_CLASSES_ROOT\Directory\Background\shell\WMP] @="Windows Media Player" "Extended"="" [HKEY_CLASSES_ROOT\Directory\Background\shell\WMP\command] @="C:\Program Files\Windows Media Player\wmplayer.exe"

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iOrgSoft Video Converter for Mac

- by terryhao

[url=http://www.iorgsoft.com/Video-Converter-for-Mac/]video converter for mac[/url] IOrgSoft[url=http://www.iorgsoft.com/Video-Converter-for-Mac/]video converter for mac[/url] is an excellent video converting and editing software for Macintosh users. A built-in powerful video player, trimming, splitter/joiner/merger tools give you everything you need to manage your videos on mac. This mac converter supports many video formats like AVI, MP4, WMV, MPEG-1,2, YouTube(FLV), Limewire, Realplayer(RM,RMVB), Quicktime(MOV), MKV, MOD, TOD, ASF, 3GP, 3G2, AVCHD/M2TS/MTS/TS/TRP/TS, MXF, etc. Video Converter for Mac features a very clean user interface which makes this task a breeze. You can trim/clip any segments and optionally merge/join and sort them to create your personal movie, crop frame size to remove any unwanted area in the frame just like a pair of smart scissors and set the output video parameters such as video resolution, video frame rate, audio codec, video codec and video quality. Converted videos can be imported into imovie/itunes/FCE/FCP/QuickTime Pro or played on iPad, iPod touch, iPod classic, iPod nano, iPhone, iPhone 3GS, Apple TV, PSP, PS3, Creative Zen, iRiver PMP, Archos, mobile phones and other MP4/MP3 players. Video Converter for Mac makes video conversion easy. Free download now and have a try for yourself! [url=http://www.iorgsoft.com/Video-Editor-for-Mac/]Video Editor for Mac[/url] [url=http://www.iorgsoft.com/Mod-Converter/]mod converter[/url] [url=http://www.iorgsoft.com/Mod-Converter-for-Mac/]mod converter for mac[/url]

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Line-length-tolerant XML diff

- by Jon Skeet

I've looked at the answers to this question, and unfortunately none of them has helped me so far. Not to beat about the bush, the second edition of C# in Depth is now in copy edit. I want to be able to see what the copy editor's done really easily, so I can reject or accept his changes. We're using a modified form of docbook, but I'm happy enough looking at the raw XML source. All fine so far - except that when the copy editor makes a change, that can change the line wrapping. So something that used to read: <para>Foo bar baz second line</para> now reads <para>Foo bar grontle baz second line</para> Now the real change here is the insertion of "grontle". I don't care that "baz" has moved from the first line to the second line... but all the diff tools I've seen do. I realise that one option would be to reformat the whole document (or possibly just whole paragraphs) into single lines... but that's then really hard to read, because diff tools don't wrap when they're displaying. I'm sure I can manage with the tools I've got, but if anyone knows of anything better, I'd be really glad to hear about it. I suspect my publishers would too :) (I've included the Windows tag here because I'd really need it to be available on Windows. I'd like to hear about any non-Windows software too, but only in case I could help to build it on Windows :)

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foswiki: hide some topic info when editing in WYSWYG mode.

- by Mica

I have a FOSWiki installation with a bunch of Topic templates already defined. the problem is, when a user selects the topic, they are presented with a bunch of extra information that they should not edit, and should not even see really. Is there a way to hide this content in the WYSWYG editor? Example: The topic template looks like this:         Header 1 foo etc. etc. etc  And when the user selects the topic template, they get all that in the WYSWYG editor. I would like to hide all that so when the user selects the topic template, they get Header 1 foo etc etc etc Without any of the other mark-up.

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Outlook, Word, and normal.dot (2003 Edition)

- by mosiac

I have one user that for some reason has been having macro issues with her normal.dot file. At first the fix was just remove the file because she isn't actually needing to save anything. This was really a temp fix. We found out that for some reason every time she opened up word it was trying to modify normal.dot but not asking. I set it up to ask so at least we could control the changes going on to normal.dot. There was one file disabled in Word that we enabled because it was a document she never used anymore, making us think that maybe that was the issue. We have automatic antivirus updates and scans so there is little chance of a virus. The issue has stopped as far as just using Word itself. She can open, close, edit, save, etc and never get the dialog. In Outlook however if she clicks reply or forward to an e-mail but decides not to send it, and just close it. She gets the pop up to save changes to normal.dot. This leads me to believe something in outlook about how she is setup to use Word as an e-mail editor is causing the problem. Am I even on the right track here? Short form: Word works fine with normal.dot, as an Outlook mail editor wants to change normal.dot. No idea what to do.

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