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• What are the steps taken by this GLSL code?

  - by user827992

  1 void main(void) 2 { 3 vec2 pos = mod(gl_FragCoord.xy, vec2(50.0)) - vec2(25.0); 4 float dist_squared = dot(pos, pos); 5 6 gl_FragColor = (dist_squared < 400.0) 7 ? vec4(.90, .90, .90, 1.0) 8 : vec4(.20, .20, .40, 1.0); 9 } taken from http://people.freedesktop.org/~idr/OpenGL_tutorials/03-fragment-intro.html Now, this looks really trivial and simple, but my problem is with the mod function. This function is taking 2 vec2 as inputs but is supposed to take just 2 atomic arguments according to the official documentation, also this function makes an implicit use of the floor function that only accepts, again, 1 atomic argument. Can someone explain this to me step by step and point out what I'm not getting here? It's some kind of OpenGL trick? OpenGL Math trick? in the GLSL docs i always find and explicit reference to the type accepted by the function and vec2 it's not there.

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• How to move an object along a circumference of another object?

  - by Lumis

  I am so out of math that it hurts, but for some of you this should be a piece of cake. I want to move an object around another along its ages or circumference on a simple circular path. At the moment my game algorithm knows how to move and position a sprite just at the edge of an obstacle and now it waits for the next point to move depending on various conditions. So the mathematical problem here is how to get (aX, aY) and (bX, bY) positions, when I know the Centre (cX, cY), the object position (oX, oY) and the distance required to move (d)

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• Your system is running in low-graphics mode with an ATI Radeon 3200 Graphics card

  - by say

  I installed 12.04 LTS (upgrade from 11.10) but When I start my computer it show "Your system is running in low-graphics mode, Your screen, graphics card, and input device settings could not be detected correctly. You will need to configure these yourself." And than show dialog what I want to do, but this one doesn´t work correctly. So I can access only terminal but I don´t know how set this staf or how to start GUI. Because I´m terminal kiddies :-) Thanks for any help :-)

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• Qwant annonce plusieurs nouveautés, nouveau mode d'affichage, catégorie Vidéos enrichie

  Qwant annonce plusieurs nouveautés, nouveau mode d'affichage, catégorie Vidéos enrichie Lancé en bêta en février dernier, Qwant détenu dans sa grande majorité par des capitaux français est disponible en version stable depuis le 04 juillet. Après le lancement d'une version mobile et d'un logo légèrement retouché, le Français vient présenter les nouvelles fonctionnalités de son outil de recherche. Qwant s'est basé sur les retours des utilisateurs pour améliorer sa solution. Il veut également...

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• Vector normalization gives very imprecise results

  - by Kipras

  When I normalize vectors I receive very strange results. The lengths of the normalized vectors range from 1.0 to almost 1.5. The functions are all written by me, but I just can't find a mistake in my algorithm. When I normalize I just divide all components of the vector by the vector's length. public double length(){ return Math.sqrt(x*x + y*y); } public void normalize(){ if(length() > 0){ x /= length(); y /= length(); } } Is this supposed to happen? I mean I can see the length ranging from 0.9 to 1.1 at worst, but this is just overwhelming. Cheers

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• Do I need a Point and a Vector object? Or just using a Vector object to represent a Point is ok?

  - by JCM

  Structuring the components of an engine that I am developing along with a friend (learning purposes), I came to this doubt. Initially we had a Point constructor, like the following: var Point = function( x, y ) { this.x = x; this.y = y; }; But them we started to add some Vector math to it, and them decided to rename it to Vector2d. But now, some methods are a bit confusing (at least in my opinion), such as the following, which is used to make a line: //before the renaming of Point to Vector2, the parameters were startingPoint and endingPoint Geometry.Line = function( startingVector, endingVector ) { //... }; I should make a specific constructor for the Point object, or there are no problems in defining a point as a vector? I know a vector have magnitude and direction, but I see so many people using a vector to just represent the position of an object.

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• Can I customize the indentation of ternary operators in emacs' cperl-mode?

  - by Ryan Thompson

  In emacs cperl-mode, ternary operators are not treated specially. If you break them over multiple lines, cperl-mode simply indents each line the same way it indents any continued statement, like this: $result = ($foo == $bar) ? 'result1' : ($foo == $baz) ? 'result2' : ($foo == $qux) ? 'result3' : ($foo == $quux) ? 'result4' : fail_result; This is not very readable. Is there some way that I can convince cperl-mode indent like this? $result = ($foo == $bar) ? 'result1' : ($foo == $baz) ? 'result2' : ($foo == $qux) ? 'result3' : ($foo == $quux) ? 'result4' : fail_result; By the way, code example from this question.

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• Software: Launching League of Legends spectator mode from Command Line (Mac)

  - by Alex Popov

  Background: tl;dr at the end League of Legends has a spectator mode, in which you can watch someone else's game (essentially a replay) with a 3 minute delay. Popular LoL website OP.GG has figured out a clever way of hosting these spectator games on their own servers, thereby making them replayable, as opposed to only being available while the game is on (as Riot does it). If you request a replay from OP.GG, it sends a batch file which looks for where the League is situated and then the magic happens: @start "" "League of Legends.exe" "8394" "LoLLauncher.exe" "" "spectator fspectate.op.gg:4081 tjJbtRLQ/HMV7HuAxWV0XsXoRB4OmFBr 1391881421 NA1" This works fine on Windows. I'm trying to get it to work on Mac (which has an official client). First I tried running the same command by hand, (split for convenience) /Applications/ ... /LeagueOfLegends.app/ ... /LeagueofLegends 8393 LoLLauncher \ /Applications/ ... /LolClient spectator fspectate.op.gg:4081 tjJbtRLQ/HMV7HuAxWV0XsXoRB4OmFBr 1391881421 NA1 Running this, however, just starts the LoLLauncher, which closes all the active League processes. The exactly same thing happens if I just call /Applications/ ... /LeagueOfLegends.app/ ... /LeagueofLegends Next I tried seeing what actually happens when Spectator mode is initiated so I ran $ ps -axf | grep -i lol which showed UID PID PPID C STIME TTY TIME CMD 503 3085 1 0 Wed02pm ?? 0:00.00 (LolClient) 503 24607 1 0 9:19am ?? 0:00.98 /Applications/League of Legends.app/Contents/LOL/RADS/system/UserKernel.app/Contents/MacOS/UserKernel updateandrun lol_launcher LoLLauncher.app 503 24610 24607 0 9:19am ?? 1:08.76 /Applications/League of Legends.app/Contents/LoL/RADS/projects/lol_launcher/releases/0.0.0.122/deploy/LoLLauncher.app/Contents/MacOS/LoLLauncher 503 24611 24610 0 9:19am ?? 1:23.02 /Applications/League of Legends.app/Contents/LoL/RADS/projects/lol_air_client/releases/0.0.0.127/deploy/bin/LolClient -runtime .\ -nodebug META-INF\AIR\application.xml .\ -- 8393 503 24927 24610 0 9:44am ?? 0:03.37 /Applications/League of Legends.app/Contents/LoL/RADS/solutions/lol_game_client_sln/releases/0.0.0.117/deploy/LeagueOfLegends.app/Contents/MacOS/LeagueofLegends 8394 LoLLauncher /Applications/League of Legends.app/Contents/LoL/RADS/projects/lol_air_client/releases/0.0.0.127/deploy/bin/LolClient spectator 216.133.234.17:8088 Yn1oMX/n3LpXNebibzUa1i3Z+s2HV0ul 1400781241 NA1 Of Interest: there is (LolClient) which I cannot kill by it's PID. UserKernel updateandrun lol_launcher LoLLauncher.app is launched first. LoLLauncher is launched by the UserKernel (as we can see from the PPID) The very long command (PID: 24927) is how Spectator mode is launched, and is also launched by UserKernel. Spectator mode is launched in exactly the same way that the OP.GG .bat wanted to, with the only difference that Spectator mode connects to Riot instead of OP.GG's spectate server. I tried attaching GDB to the LolClient, but I couldn't get anything meaningful from it since it's an Adobe AIR application (and I've never used GDB with code other than mine own). Next I ran dtruss -a -b 100m -f -p $PID on everything I could think of: the LolClient, the LolLauncher and the UserKernel and skimmed the half a million lines produced. I found stuff like the GET request used to get the information of the game to spectate, but I could not see any launch of the equivalent of League of Legends.exe with spectator options. Finally, I ran lsof | grep -i lol to see if anything else was opened in the process, but didn't find anything that seemed appropriate. Open were UserKernel, LolLauncher, LolClient, Adobe AIR, LeagueofLegends and then Bugsplat, all of which are expected. None of this seemed especially relevant to figuring out how LeagueofLegends was opened into spectator mode. It obviously can be done, since Spectator mode is accessible from within the client. It seems likely that it can be done from the CLI, since Windows can do it and the clients are supposed to equals. Unless I'm missing something in the difference between how UNIX and Windows handle CLI application launches. My question is if there are any other things I can try to figure out how to launch Spectator mode myself. tl;dr: Trying to get into spectator mode from the CLI. It's possible on Windows (see first code block) but it just restarts League on Mac. What else can I try to find what call is made, and how to reproduce it? PS: Please let me know how I can improve this question or its formatting, I'd love to use StackOverflow/SuperUser, but as the guys said on the podcast this week (Ep. 59) it's very intimidating. Sorry for posting this on StackOverflow the first time :(

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• It's like I'm in recovery mode after update, but I'm not

  - by mawburn

  I used the Ubuntu software updater and updated to the most recent packages. After the last update today, it's like I have gone into recovery mode, but I haven't. I am running UbuntuGNOME First, everything looks like this: Switching to dark mode does nothing. Also, default applications do not work. Such as Startup and the default screenshot application. Everything was working fine before the latest software update. System Info Ubuntu 14.04 LTS Gnome-Shell 3.10.4 Kernel 3.13.0-29 I can't figure out how to get an update history, but this is almost a fresh install. It's about a week old install and this is the 3rd time I've used the Ubuntu Software Update. I am running AMD ATI HD6700 with the proprietary Catalyst drivers. I tried to provide all information that I thought would be useful, if you need any more please let me know. Edit - I believe something went wrong within these updates: Update Log: Start-Date: 2014-06-09 19:07:07 Commandline: aptdaemon role='role-commit-packages' sender=':1.68' Install: libgnome-desktop-3-10:amd64 (3.12.0-0~eugenesan~trusty2) Upgrade: gnome-session-common:amd64 (3.9.90-0ubuntu12, 3.12.0-0~eugenesan~trusty10), gnome-session-bin:amd64 (3.9.90-0ubuntu12, 3.12.0-0~eugenesan~trusty10), gir1.2-gnomedesktop-3.0:amd64 (3.8.4-0ubuntu3, 3.12.0-0~eugenesan~trusty2), gnome-session:amd64 (3.9.90-0ubuntu12, 3.12.0-0~eugenesan~trusty10), python-libxml2:amd64 (2.9.1+dfsg1-3ubuntu4.1, 2.9.1+dfsg1-3ubuntu4.2), libspice-server1:amd64 (0.12.4-0nocelt2, 0.12.4-0nocelt2.02~eugenesan~trusty1), gir1.2-mutter-3.0:amd64 (3.10.4-0ubuntu2, 3.10.4-0ubuntu2.1), xserver-xorg-video-qxl:amd64 (0.1.1-0ubuntu3, 0.1.1-0ubuntu3.01), libxml2:amd64 (2.9.1+dfsg1-3ubuntu4.1, 2.9.1+dfsg1-3ubuntu4.2), libxml2:i386 (2.9.1+dfsg1-3ubuntu4.1, 2.9.1+dfsg1-3ubuntu4.2), gnome-desktop3-data:amd64 (3.8.4-0ubuntu3, 3.12.0-0~eugenesan~trusty2), mutter:amd64 (3.10.4-0ubuntu2, 3.10.4-0ubuntu2.1), mutter-common:amd64 (3.10.4-0ubuntu2, 3.10.4-0ubuntu2.1), libxml2-utils:amd64 (2.9.1+dfsg1-3ubuntu4.1, 2.9.1+dfsg1-3ubuntu4.2), libmutter0c:amd64 (3.10.4-0ubuntu2, 3.10.4-0ubuntu2.1) End-Date: 2014-06-09 19:07:12 I also installed Citrix Receiver today, following the tutorial here: Citrix Receiver 12.1 on Ubuntu 14.04 64-bit Log Start-Date: 2014-06-09 18:59:06 Commandline: apt-get install libmotif4:i386 nspluginwrapper lib32z1 libc6-i386 libxp6:i386 libxpm4:i386 libasound2:i386 Install: libmotif-common:amd64 (2.3.4-5, automatic), libatk1.0-0:i386 (2.10.0-2ubuntu2, automatic), libxft2:i386 (2.3.1-2, automatic), libgraphite2-3:i386 (1.2.4-1ubuntu1, automatic), nspluginviewer:i386 (1.4.4-0ubuntu5, automatic), libpango-1.0-0:i386 (1.36.3-1ubuntu1, automatic), libxcursor1:i386 (1.1.14-1, automatic), libmotif4:i386 (2.3.4-5), libxm4:amd64 (2.3.4-5, automatic), libxm4:i386 (2.3.4-5, automatic), libxp6:i386 (1.0.2-1ubuntu1), libpangocairo-1.0-0:i386 (1.36.3-1ubuntu1, automatic), libxcb-render0:i386 (1.10-2ubuntu1, automatic), libthai0:i386 (0.1.20-3, automatic), libharfbuzz0b:i386 (0.9.27-1, automatic), libpixman-1-0:i386 (0.30.2-2ubuntu1, automatic), libpangoft2-1.0-0:i386 (1.36.3-1ubuntu1, automatic), libcairo2:i386 (1.13.0~20140204-0ubuntu1, automatic), lib32z1:amd64 (1.2.8.dfsg-1ubuntu1), libjasper1:i386 (1.900.1-14ubuntu3, automatic), libgtk2.0-0:i386 (2.24.23-0ubuntu1.1, automatic), nspluginwrapper:amd64 (1.4.4-0ubuntu5), libuil4:amd64 (2.3.4-5, automatic), libuil4:i386 (2.3.4-5, automatic), libxcb-shm0:i386 (1.10-2ubuntu1, automatic), libxmu6:i386 (1.1.1-1, automatic), libc6-i386:amd64 (2.19-0ubuntu6), libxinerama1:i386 (1.1.3-1, automatic), libgdk-pixbuf2.0-0:i386 (2.30.7-0ubuntu1, automatic), libxcomposite1:i386 (0.4.4-1, automatic), libmrm4:amd64 (2.3.4-5, automatic), libmrm4:i386 (2.3.4-5, automatic), libdatrie1:i386 (0.2.8-1, automatic), libxrandr2:i386 (1.4.2-1, automatic), libxpm4:i386 (3.5.10-1) End-Date: 2014-06-09 18:59:11

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• network will not work properly after having run TCP optimizer, but safe mode settings work perfectly. how to restore?

  - by michele

  I was experiencing some issues with my connection while playing online and I tried to optimize it by running TCP optimizer on my PC (Windows 7 64bit professional). I thought maybe the situation could improve. but it didn't. actually, I now get an extremely slow page loading time, probably due to a very low RWIN value of 1024. I understand that Windows 7 has a system to automatically adjust the RWIN value when needed. The setting from netsh is "normal" so I guess something else must be wrong. I tried every automatic tool out there to restore Windows' default values, but I had no success. I currently have what should be labeled as "default values" for everything TCP Optimizer initially changed, but the problem persists. The thing is, I just found out that running Windows in safe mode SOLVES the problem completely. The problem is that as soon as I reboot, I get the same issue all over again. So my question is: is there a way to use SAFE MODE network settings in NORMAL mode?

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• Sans-serif math with latex in matplotlib

  - by Morgoth

  The following script: import matplotlib matplotlib.use('Agg') import matplotlib.pyplot as mpl mpl.rc('font', family='sans-serif') mpl.rc('text', usetex=True) fig = mpl.figure() ax = fig.add_subplot(1,1,1) ax.text(0.2,0.5,r"Math font: $451^\circ$") ax.text(0.2,0.7,r"Normal font (except for degree symbol): 451$^\circ$") fig.savefig('test.png') is an attempt to use a sans-serif font in matplotlib with LaTeX. The issue is that the math font is still a serif font (as indicated by the axis numbers, and as demonstrated by the labels in the center). Is there a way to set the math font to also be sans-serif?

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• Bounding Boxes for Circle and Arcs in 3D

  - by David Rutten

  Given curves of type Circle and Circular-Arc in 3D space, what is a good way to compute accurate bounding boxes (world axis aligned)? Edit: found solution for circles, still need help with Arcs. C# snippet for solving BoundingBoxes for Circles: public static BoundingBox CircleBBox(Circle circle) { Point3d O = circle.Center; Vector3d N = circle.Normal; double ax = Angle(N, new Vector3d(1,0,0)); double ay = Angle(N, new Vector3d(0,1,0)); double az = Angle(N, new Vector3d(0,0,1)); Vector3d R = new Vector3d(Math.Sin(ax), Math.Sin(ay), Math.Sin(az)); R *= circle.Radius; return new BoundingBox(O - R, O + R); } private static double Angle(Vector3d A, Vector3d B) { double dP = A * B; if (dP <= -1.0) { return Math.PI; } if (dP >= +1.0) { return 0.0; } return Math.Acos(dP); }

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• Help Understanding Function

  - by Fred F.

  What does the following function perform? public static double CleanAngle(double angle) { while (angle < 0) angle += 2 * System.Math.PI; while (angle > 2 * System.Math.PI) angle -= 2 * System.Math.PI; return angle; } This is how it is used with ATan2. I believe the actually values passed to ATan2 are always positive. static void Main(string[] args) { int q = 1; //'x- and y-coordinates will always be positive values //'therefore, do i need to "clean"? foreach (Point oPoint in new Point[] { new Point(8,20), new Point(-8,20), new Point(8,-20), new Point(-8,-20)}) { Debug.WriteLine(Math.Atan2(oPoint.Y, oPoint.X), "unclean " + q.ToString()); Debug.WriteLine(CleanAngle(Math.Atan2(oPoint.Y, oPoint.X)), "cleaned " + q.ToString()); q++; } //'output //'unclean 1: 1.19028994968253 //'cleaned 1: 1.19028994968253 //'unclean 2: 1.95130270390726 //'cleaned 2: 1.95130270390726 //'unclean 3: -1.19028994968253 //'cleaned 3: 5.09289535749705 //'unclean 4: -1.95130270390726 //'cleaned 4: 4.33188260327232 }

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• Stupid problem with Javascript calculations and postbacks

  - by rockinthesixstring

  I'm working on an ASP.NET web app where I'm using a Wizard to take the client through a large series of steps. One of the steps includes calculating a bunch of numbers on the fly... the numbers calculate properly but when I click "next" and then go back again... some of the numbers are not retained. Here is the calculation function function CalculateFields() { txtSellingPrice = document.getElementById('<%=txtSellingPrice.ClientID %>'); txtBalanceSheet = document.getElementById('<%=txtBalanceSheet.ClientID %>'); txtDownPayment = document.getElementById('<%=txtDownPayment.ClientID %>'); txtSusEarn = document.getElementById('<%=txtSusEarn.ClientID %>'); txtSusRev = document.getElementById('<%=txtSusRev.ClientID %>'); txtBalanceMult = document.getElementById('<%=txtBalanceMult.ClientID %>'); txtGoodwillMult = document.getElementById('<%=txtGoodwillMult.ClientID %>'); txtSellingPriceMult = document.getElementById('<%=txtSellingPriceMult.ClientID %>'); txtGoodWill = document.getElementById('<%=txtGoodWill.ClientID %>'); txtBalance = document.getElementById('<%=txtBalance.ClientID %>'); chkTakeBack = document.getElementById('<%=chkTakeBack.ClientID %>'); txtVendorTakeBackPercentage = document.getElementById('<%=txtVendorTakeBackPercentage.ClientID %>'); txtSusEarnPercentage = document.getElementById('<%=txtSusEarnPercentage.ClientID %>'); txtBalanceMultPercentage = document.getElementById('<%=txtBalanceMultPercentage.ClientID %>'); txtGoodwillMultPercentage = document.getElementById('<%=txtGoodwillMultPercentage.ClientID %>'); txtSellingPriceMultPercentage = document.getElementById('<%=txtSellingPriceMultPercentage.ClientID %>'); var regexp = /[$,]/g; //Empty value checks SellingPrice = (SellingPrice == "" ? "$0" : SellingPrice); BalanceSheet = (BalanceSheet == "" ? "$0" : BalanceSheet); DownPayment = (DownPayment == "" ? "$0" : DownPayment); susearn = (susearn == "" ? "$0" : susearn); susrev = (susrev == "" ? "$0" : susrev); balmult = (balmult == "" ? "$0" : balmult); goodmult = (goodmult == "" ? "$0" : goodmult); sellmult = (sellmult == "" ? "$0" : sellmult); //Replace $ with String.Empty SellingPrice = txtSellingPrice.value.replace(regexp, ""); BalanceSheet = txtBalanceSheet.value.replace(regexp, ""); DownPayment = txtDownPayment.value.replace(regexp, ""); susearn = txtSusEarn.value.replace(regexp, ""); susrev = txtSusRev.value.replace(regexp, ""); balmult = txtBalanceMult.value.replace(regexp, ""); goodmult = txtGoodwillMult.value.replace(regexp, ""); sellmult = txtSellingPriceMult.value.replace(regexp, ""); //Set the new values txtGoodWill.value = "$" + (SellingPrice - BalanceSheet); txtBalance.value = "$" + (SellingPrice - DownPayment); txtSellingPriceMult.value = "$" + SellingPrice; txtGoodwillMult.value = "$" + (SellingPrice - BalanceSheet); txtBalanceMult.value = "$" + BalanceSheet; if (chkTakeBack.checked == 1) { txtVendorTakeBackPercentage.value = Math.round((SellingPrice - DownPayment) / SellingPrice * 100); } else { txtVendorTakeBackPercentage.value = "0"; } if (!(susearn == "") && !(susearn == "0") && !(susearn == "$0")) { txtSusEarnPercentage.value = Math.round(susearn / susrev * 100); txtBalanceMultPercentage.value = Math.round(balmult / susearn); txtGoodwillMultPercentage.value = Math.round(goodmult / susearn); txtSellingPriceMultPercentage.value = Math.round(sellmult / susearn); } else { txtSusEarnPercentage.value = "0"; txtBalanceMultPercentage.value = "0"; txtGoodwillMultPercentage.value = "0"; txtSellingPriceMultPercentage.value = "0"; } } all of these calculate properly and retain their value across postbacks txtGoodWill.value = "$" + (SellingPrice - BalanceSheet); txtBalance.value = "$" + (SellingPrice - DownPayment); txtSellingPriceMult.value = "$" + SellingPrice; txtGoodwillMult.value = "$" + (SellingPrice - BalanceSheet); txtBalanceMult.value = "$" + BalanceSheet; These ones however do not retain their value across postbacks if (chkTakeBack.checked == 1) { txtVendorTakeBackPercentage.value = Math.round((SellingPrice - DownPayment) / SellingPrice * 100); } else { txtVendorTakeBackPercentage.value = "0"; } if (!(susearn == "") && !(susearn == "0") && !(susearn == "$0")) { txtSusEarnPercentage.value = Math.round(susearn / susrev * 100); txtBalanceMultPercentage.value = Math.round(balmult / susearn); txtGoodwillMultPercentage.value = Math.round(goodmult / susearn); txtSellingPriceMultPercentage.value = Math.round(sellmult / susearn); } else { txtSusEarnPercentage.value = "0"; txtBalanceMultPercentage.value = "0"; txtGoodwillMultPercentage.value = "0"; txtSellingPriceMultPercentage.value = "0"; } The txtVendorTakeBackPercentage always comes back BLANK and the other three always come back as 0 I'm firing these functions by using the onkeyup event within the form fields. If Not Page.IsPostBack Then txtSellingPrice.Attributes.Add("onkeyup", "CalculateFields()") txtBalanceSheet.Attributes.Add("onkeyup", "CalculateFields()") txtDownPayment.Attributes.Add("onkeyup", "CalculateFields()") txtSusRev.Attributes.Add("onkeyup", "CalculateFields()") txtSusEarn.Attributes.Add("onkeyup", "CalculateFields()") End If any thoughts/help/direction would be greatly appreciated.

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• Converting an equation into a way java script can interpret it

  - by GeorgeTaylor

  So I have this code that is meant to do this equation: (1 / 15) * arccos(-tan(L) * tan(23.44 * sin(360 * (D + 284) / 365))) and for testing purposes alert it! But for some reason it returns "NaN". I've probably done something really stupid :P var now = new Date(); var start = new Date(now.getFullYear(), 0, 0); var diff = now - start; var oneDay = 1000 * 60 * 60 * 24; var d = Math.floor(diff / oneDay); var lat = position.coords.latitude; var long = position.coords.longitude; var tanlat = Math.atan(lat); var tantwentythree = Math.tan(23.44); var dayplus = d + 284; var sinday = Math.sin(360 * dayplus); var arccos = Math.acos(tanlat); var start = 1 / 15; var equation = start * arccos * tantwentythree * sinday / 365; alert(equation);

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• How to send a Java integer in four bytes to another application?

  - by user1468729

  public void routeMessage(byte[] data, int mode) { logger.debug(mode); logger.debug(Integer.toBinaryString(mode)); byte[] message = new byte[8]; ByteBuffer byteBuffer = ByteBuffer.allocate(4); ByteArrayOutputStream baoStream = new ByteArrayOutputStream(); DataOutputStream doStream = new DataOutputStream(baoStream); try { doStream.writeInt(mode); } catch (IOException e) { logger.debug("Error converting mode from integer to bytes.", e); return; } byte [] bytes = baoStream.toByteArray(); bytes[0] = (byte)((mode >>> 24) & 0x000000ff); bytes[1] = (byte)((mode >>> 16) & 0x000000ff); bytes[2] = (byte)((mode >>> 8) & 0x00000ff); bytes[3] = (byte)(mode & 0x000000ff); //bytes = byteBuffer.array(); for (byte b : bytes) { logger.debug(b); } for (int i = 0; i < 4; i++) { //byte tmp = (byte)(mode >> (32 - ((i + 1) * 8))); message[i] = bytes[i]; logger.debug("mode, " + i + ": " + Integer.toBinaryString(message[i])); message[i + 4] = data[i]; } broker.routeMessage(message); } I've tried different ways (as you can see from the commented code) to convert the mode to four bytes to send it via a socket to another application. It works well with integers up to 127 and then again with integers over 256. I believe it has something to do with Java types being signed but don't seem to get it to work. Here are some examples of what the program prints. 127 1111111 0 0 0 127 mode, 0: 0 mode, 1: 0 mode, 2: 0 mode, 3: 1111111 128 10000000 0 0 0 -128 mode, 0: 0 mode, 1: 0 mode, 2: 0 mode, 3: 11111111111111111111111110000000 211 11010011 0 0 0 -45 mode, 0: 0 mode, 1: 0 mode, 2: 0 mode, 3: 11111111111111111111111111010011 306 100110010 0 0 1 50 mode, 0: 0 mode, 1: 0 mode, 2: 1 mode, 3: 110010 How is it suddenly possible for a byte to store 32 bits? How could I fix this?

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• Javascript for a prompt which accepts simple math as a value and then returns the answer

  - by user1139403

  I have written a snippet of code in javascript, for a prompt to appear when clicked. I want to be able to enter a simple math problem (i.e. 230/2) and have it output the answer, rather than the math problem I just entered. Your help will be much appreciated. <!DOCTYPE html> <html> <body> <button onclick="myFunction()">Click me</button> <p id="demo"></p> <script type="text/javascript"> function myFunction() { var x; var mathProblem=prompt("Enter your math problem",""); if (name!=null) { x = mathProblem; document.getElementById("demo").innerHTML = x; } } </script> </body> </html>

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• Understanding normal maps on terrain

  - by JohnB

  I'm having trouble understanding some of the math behind normal map textures even though I've got it to work using borrowed code, I want to understand it. I have a terrain based on a heightmap. I'm generating a mesh of triangles at load time and rendering that mesh. Now for each vertex I need to calculate a normal, a tangent, and a bitangent. My understanding is as follows, have I got this right? normal is a unit vector facing outwards from the surface of the triangle. For a vertex I take the average of the normals of the triangles using that vertex. tangent is a unit vector in the direction of the 'u' coordinates of the texture map. As my texture u,v coordinates follow the x and y coordinates of the terrain, then my understanding is that this vector is simply the vector along the surface in the x direction. So should be able to calculate this as simply the difference between vertices in the x direction to get a vector, (and normalize it). bitangent is a unit vector in the direction of the 'v' coordinates of the texture map. As my texture u,v coordinates follow the x and y coordinates of the terrain, then my understanding is that this vector is simply the vector along the surface in the y direction. So should be able to calculate this as simply the difference between vertices in the y direction to get a vector, (and normalize it). However the code I have borrowed seems much more complicated than this and takes into account the actual values of u, and v at each vertex which I don't understand the need for as they increase in exactly the same direction as x, and y. I implemented what I thought from above, and it simply doesn't work, the normals are clearly not working for lighting. Have I misunderstood something? Or can someone explain to me the physical meaning of the tangent and bitangent vectors when applied to a mesh generated from a hightmap like this, when u and v texture coordinates map along the x and y directions. Thanks for any help understanding this.

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• 3D Vector "End Point" Calculation for procedural Vector Graphics

  - by FrostFlame64

  Alright, So I need some help with some Vector Math. I've developing some game Engines that have Procedural Fractal Generation for Some Graphics, such as using Lindenmayer Systems for generating Trees and Plants. L-Systems, are drawn by using Turtle Graphics, which is a form of Vector graphics. I first created a system to draw in 2D Graphics, which works perfectly fine. But now I want to make a 3D equivalent, and I’ve run into an issue. For my 2D Version, I created a Method for quickly determining the “End Point” of a Vector-like movement. Given a starting point (X, Y), a direction (between 0 and 360 degrees), and a distance, the end point is calculated by these formulas: newX = startX + distance * Sin((PI * direction) / 180) newY = startY + distance * Cos((PI * direction) / 180) Now I need something Similarly Equivalent for performing this Calculation in 3D, But I haven’t been able to Google anything that could show me how to do this. I'm flexible enough to get whatever required information is needed for this method calculation, in any reasonable form (Vector3, Quaternion, ect). To summarize: Given a starting point/vector position in 3D space (X, Y, Z), a Direction in 3D space (Vector3, Quaternion, ect), and a Distance, I need to find the “End Point” in 3D Space. Thank you for your time and help.

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• Calculating 3d rotation around random axis

  - by mitim

  This is actually a solved problem, but I want to understand why my original method didn't work (hoping someone with more knowledge can explain). (Keep in mind, I've not very experienced in 3d programming, having only played with the very basic for a little bit...nor do I have a lot of mathematical experience in this area). I wanted to animate a point rotating around another point at a random axis, say a 45 degrees along the y axis (think of an electron around a nucleus). I know how to rotate using the transform matrix along the X, Y and Z axis, but not an arbitrary (45 degree) axis. Eventually after some research I found a suggestion: Rotate the point by -45 degrees around the Z so that it is aligned. Then rotate by some increment along the Y axis, then rotate it back +45 degrees for every frame tick. While this certainly worked, I felt that it seemed to be more work then needed (too many method calls, math, etc) and would probably be pretty slow at runtime with many points to deal with. I thought maybe it was possible to combine all the rotation matrixes involve into 1 rotation matrix and use that as a single operation. Something like: [ cos(-45) -sin(-45) 0] [ sin(-45) cos(-45) 0] rotate by -45 along Z [ 0 0 1] multiply by [ cos(2) 0 -sin(2)] [ 0 1 0 ] rotate by 2 degrees (my increment) along Y [ sin(2) 0 cos(2)] then multiply that result by (in that order) [ cos(45) -sin(45) 0] [ sin(45) cos(45) 0] rotate by 45 along Z [ 0 0 1] I get 1 mess of a matrix of numbers (since I was working with unknowns and 2 angles), but I felt like it should work. It did not and I found a solution on wiki using a different matirx, but that is something else. I'm not sure if maybe I made an error in multiplying, but my question is: this is actually a viable way to solve the problem, to take all the separate transformations, combine them via multiplying, then use that or not?

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• Japanese Multiplication simulation - is a program actually capable of improving calculation speed?

  - by jt0dd

  On SuperUser, I asked a (possibly silly) question about processors using mathematical shortcuts and would like to have a look at the possibility at the software application of that concept. I'd like to write a simulation of Japanese Multiplication to get benchmarks on large calculations utilizing the shortcut vs traditional CPU multiplication. I'm curious as to whether it makes sense to try this. My Question: I'd like to know whether or not a software math shortcut, as described above is actually a shortcut at all. This is a question of programming concept. By utilizing the simulation of Japanese Multiplication, is a program actually capable of improving calculation speed? Or am I doomed from the start? The answer to this question isn't required to determine whether or not the experiment will succeed, but rather whether or not it's logically possible for such a thing to occur in any program, using this concept as an example. My theory is that since addition is computed faster than multiplication, a simulation of Japanese multiplication may actually allow a program to multiply (large) numbers faster than the CPU arithmetic unit can. I think this would be a very interesting finding, if it proves to be true. If, in the multiplication of numbers of any immense size, the shortcut were to calculate the result via less instructions (or faster) than traditional ALU multiplication, I would consider the experiment a success.

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• Vector vs Scalar velocity?

  - by Serguei Fedorov

  I am revamping an engine I have been working on and off on for the last few weeks to use a directional vector to dictate direction; this way I can dictate the displacement based on a direction. However, the issue I am trying to overcome is the following problem; the speed towards X and speed towards Y are unrelated to one another. If gravity pulls the object down by an increasing velocity my velocity towards the X should not change. This is very easy to implement if my speed is broken into a Vector datatype, Vector.X dictates one direction Vector.Y dictates the other (assuming we are not concerned about the Z axis). However, this defeats the purpose of the directional vector because: SpeedX = 10 SpeedY = 15 [1, 1] normalized = ~[0.7, 0.7] [0.7, 0.7] * [10, 15] = [7, 10.5] As you can see my direction is now "scaled" to my speed which is no longer the direction that I want to be moving in. I am very new to vector math and this is a learning project for me. I looked around a little bit on the internet but I still want to figure out things on my own (not just look at an example and copy off it). Is there way around this? Using a directional vector is extremely useful but I am a little bit stumped at this problem. I am sorry if my mathematical understanding maybe completely wrong.

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• JavaScript 3D space ship rotation

  - by user36202

  I am working with a fairly low-level JavaScript 3D API (not Three.js) which uses euler angles for rotation. In most cases, euler angles work quite well for doing things like aligning buildings, operating a hovercraft, or looking around in the first-person. However, in space there is no up or down. I want to control the ship's roll, pitch, and yaw. To do that, some people would use a local coordinate system or a permenant matrix or quaternion or whatever to represent the ship's angle. However, since I am not most people and am using a library that deals exclusively in euler angles, I will be using relative angles to represent how to rotate the ship in space and getting the resulting non-relative euler angles. For you math nerds, that means I need to convert 3 euler angles (with Y being the vertical axis, X representing the pitch, and Z representing a roll which is unaffected by the other angles, left-handed system) into a 3x3 orientation matrix, do something fancy with the matrix, and convert it back into the 3 euler angles. Euler to matrix to euler. Somebody has posted something similar to this on SO (http://stackoverflow.com/questions/1217775/rotating-a-spaceship-model-for-a-space-simulator-game) but he ended up just working with a matrix. This will not do for me. Also, I am using JavaScript, not C++. What I want essentially are the functions do_roll, do_pitch, and do_yaw which only take in and put out euler angles. Many thanks.

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• Line Intersection from parametric equation

  - by Sidar

  I'm sure this question has been asked before. However, I'm trying to connect the dots by translating an equation on paper into an actual function. I thought It would be interesting to ask here instead on the Math sites (since it's going to be used for games anyway ). Let's say we have our vector equation : x = s + Lr; where x is the resulting vector, s our starting point/vector. L our parameter and r our direction vector. The ( not sure it's called like this, please correct me ) normal equation is : x.n = c; If we substitute our vector equation we get: (s+Lr).n = c. We now need to isolate L which results in L = (c - s.n) / (r.n); L needs to be 0 < L < 1. Meaning it needs to be between 0 and 1. My question: I want to know what L is so if I were to substitute L for both vector equation (or two lines) they should give me the same intersection coordinates. That is if they intersect. But I can't wrap my head around on how to use this for two lines and find the parameter that fits the intersection point. Could someone with a simple example show how I could translate this to a function/method?

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• Calculating the correct particle angle in an outwards explosion

  - by Sun

  I'm creating a simple particle explosion but am stuck in finding the correct angle to rotate my particle. The effect I'm going for is similar to this: Where each particle is going outwards from the point of origin and at the correct angle. This is what I currently have: As you can see, each particle is facing the same angle, but I'm having a little difficulty figuring out the correct angle. I have the vector for the point of emission and the new vector for each particle, how can I use this to calculate the angle? Some code for reference: private Particle CreateParticle() { ... Vector2 velocity = new Vector2(2.0f * (float)(random.NextDouble() * 2 - 1), 2.0f * (float)(random.NextDouble() * 2 - 1)); direction = velocity - ParticleLocation; float angle = (float)Math.Atan2(direction.Y, direction.X); ... return new Particle(texture, position, velocity, angle, angularVelocity, color, size, ttl, EmitterLocation); } I am then using the angle created as so in my particles Draw method: spriteBatch.Draw(Texture, Position, null, Color, Angle, origin, Size, SpriteEffects.None, 0f);

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