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  • A* how make natural look path?

    - by user11177
    I've been reading this: http://theory.stanford.edu/~amitp/GameProgramming/Heuristics.html But there are some things I don't understand, for example the article says to use something like this for pathfinding with diagonal movement: function heuristic(node) = dx = abs(node.x - goal.x) dy = abs(node.y - goal.y) return D * max(dx, dy) I don't know how do set D to get a natural looking path like in the article, I set D to the lowest cost between adjacent squares like it said, and I don't know what they meant by the stuff about the heuristic should be 4*D, that does not seem to change any thing. This is my heuristic function and move function: def heuristic(self, node, goal): D = 10 dx = abs(node.x - goal.x) dy = abs(node.y - goal.y) return D * max(dx, dy) def move_cost(self, current, node): cross = abs(current.x - node.x) == 1 and abs(current.y - node.y) == 1 return 19 if cross else 10 Result: The smooth sailing path we want to happen: The rest of my code: http://pastebin.com/TL2cEkeX

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  • So long Oracle

    - by Roger Brinkley
    This Friday (November 1, 2013) is my last day at Oracle. After Publishing almost 150 Java Spotlight Podcasts with over 800,000 downloads plus another 95 Mobile and Embedded Podcasts Being a founding member of Java.Net with the Desktop Community Starting and founding 3 separate Java.Net Communities. Visiting every continent save one and several cities around the world Traveling to more cities in Brazil than most Brazilians. Speaking at all major Java conferences and lots of Java User Groups Being the longest serving JavaOne Track Lead Meeting, working, and interviewing the best of the best in the Java community Creating JavaHelp the online help system for the Java Platform Most importantly having lots of fun (who else played hickory golf in 6 continents in one year) Its time for me to move on! I'll now be publishing content at http://www.rogerbrinkleyblog.info/ now onwards. Read my new blog to learn about my new adventures!

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  • How to modify the default position of desktop icons

    - by Hanynowsky
    Is it possible to modify the default desktop icons position so that icons move a little bit to right. If yes, how? As far as I know, there is no tweak for that in Nautilus. When I click "Organize Desktop by Name", the icons get aligned to the left of Desktop: that's fine, but they're too close to the launcher when it's in AUTO HIDE mode. So when Launcher is revealed, it comes over icons. Reproduce: Download some files from your browser or copy files/folders from a folder to the desktop, then these latter will be placed just like the screenshot. Their position is fine when the launcher is hidden, but when revealed, it hides a part of the icons. There is no problem when LAUNCHER AUTO-HIDE MODE is disabled. Thanks in advance.

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  • Multiple X screens without Xinerama

    - by Kalle Elmér
    Is there some way to move Windows between separate X screens in Ubuntu 12.04? With 3 monitors on 2 GPUs, using Twinview is not an option. Xinerama allows me to drag windows between all monitors, but it also means that I lose all hardware acceleration. I don't expect to be able to drag windows between the screens and have them occupy two monitors simultaneously, but there must be some way to transfer a program while it is running. At the moment, I don't even know how to select which monitor it will use when launched. Any pointers?

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  • Problems about responsiveness and keyboard/mousepad not working

    - by ChrisTheNoob
    So I installed Ubuntu 12.04, I'm very new at this and want to get into the world of Linux but have run into nothing but problems. I have an Acer Aspire 5553g. First off, my keyboard won't work. Second, my computer has more than enough of everything to run Ubuntu smoothly, but everything runs extremely slow. (You move the mouse and it gets there a few seconds later) It's to the point where I can't even use it and I really want to. I'm tired of Microsoft stuff and I've been looking at learning how to use Linux based operating systems for a while. Please send me some help to fix these issues and maybe some tips to help get me started. Thanks in advance chris

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  • Switching Programming Languages

    - by no spoon
    Hi I'm a senior level Delphi developer looking for move into either C# or possibly Java roles. I have around 8 years of development experience of which pretty much all of it is in Delphi, I have very little commercial experience in C# and no commercial experience in Java. I have about 6 months worth of academic experience in both Java and C# from some University papers I took a 4 years ago and use these languages for hobby projects, so I know the languages I just don't have the commercial experience to back it up. Given that I'm too over qualified for a junior role but do not have the commercial experience for even an intermediate role how does one go about changing jobs?

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  • SharePoint 2010 ECB Menu on any column

    - by Sahil Malik
    SharePoint 2010 Training: more information You know that ECB Menu in SharePoint 2007? Well in SharePoint 2010 you can very easily move it around on any column you wish. What you do is, open the view in SharePoint Designer, then you click on the field you wish to see the ECB menu in, then you will see a little floatie button with this on it ">", then, you click on that floatie, and it shows a little popup with 2 checkboxes in it. "Common xsl:value-of Tasks"- Show List Item Menu- Show Link To Item You check the "Show List Item Menu" checkbox, and off you go - now the ECB menu is available on the other column. Enjoy! Read full article ....

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  • Working out of a vertex array for destrucible objects

    - by bobobobo
    I have diamond-shaped polygonal bullets. There are lots of them on the screen. I did not want to create a vertex array for each, so I packed them into a single vertex array and they're all drawn at once. | bullet1.xyz | bullet1.rgb | bullet2.xyz | bullet2.rgb This is great for performance.. there is struct Bullet { vector<Vector3f*> verts ; // pointers into the vertex buffer } ; This works fine, the bullets can move and do collision detection, all while having their data in one place. Except when a bullet "dies" Then you have to clear a slot, and pack all the bullets towards the beginning of the array. Is this a good approach to handling lots of low poly objects? How else would you do it?

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  • How can I render player movement on a 2d plane efficiently?

    - by user422318
    I'm prototyping a 2d HTML5 game with similar interaction to Diablo II. (See an older post of mine describing the interaction here: How can I imitate interaction and movement in Diablo II?) I just got the player click-to-move system working using the Bresenham algorithm but I can't figure out how to efficiently render the player's avatar as he moves across the screen. By the time redraw() is called, the player has already finished moving to the target point. If I try to call redraw() more frequently (based on my game timer), there's incredible system lag and I don't even see the avatar image glide across the screen. I have a game timer based off this awesome timer class: http://www.dailycoding.com/Posts/object_oriented_programming_with_javascript__timer_class.aspx In the future, there will be multiple enemies chasing the player. Fast pace is essential to the experience. What should I do?

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  • how does the rectangle bounds (x,y,width,height) in libgdx work

    - by JG22
    I cant work out how to use the rectangle bounds in libgdx I am currently using the superJumper example and have 2or 3 examples with that are pause Bounds = new Rectangle(320 - 64, 480 - 64, 64, 64); this is the pause button in the top right corner resume Bounds = new Rectangle(160 - 96, 240, 192, 36); this is a rectangle resume button in the middle of the page in the menu that comes up when the pause button is pressed. basically my question is aimed at the 360 -64 and 160 -96 because I don't know why this is used I need to create a rectangle that covers the left side of the screen and the same on the right because I want to create a on screen buttons, I have already created the does for these buttons and I have managed to get them to work but I can move the rectangles to where I want. Thank you If you can help

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  • How do I know if I am using Scrum methodologies?

    - by Jake
    When I first started at my current job, my purpose was to rewrite a massive excel-VBA workbook-application to C# Winforms because it was thought that the new C# app will fix all existing problems and have all the new features for a perfect world. If it were a direct port, in theory it would be easy as i just need to go through all the formulas, conditional formatting, validations, VBA etc. to understand it. However, that was not the case. Many of the new features are tightly dependant on business logic which I am unfamiliar with. As a solo programmer, the first year was spent solely on deciphering the excel workbook and writing the C# app. In theory, I had the business people to "help" me specify requirements, how GUI looks and work, and testing of the app etc; but in practice it is like a contant tsunami of feature creep. At the beginning of the second year I managed to convince the management that this is not going anywhere. I made them start from scratch with the excel-VBA. I have this "issue log" saved on the network, each time they found something they didn't like about the excel-VBA app, they will write it in there. I check the log daily and consolidate issues (in my mind) mainly into 2 groups: (1) requires massive change. (2) can be fixed in current version. For massive change issues, I make a copy of the latest excel-VBA and give it a new version number, then work on it whenever I can. For current version fixes, I make the changes in a few days to a week, and then immediately release it. I also ensure I update the same change in any in-progress massive change future versions. This has gone on for about 4 months and I feel it works great. I made many releases and solved many real issues, also understood the business logic more and more. However, my boss (non-IT trained) thinks what I am doing are just adhoc changes and that i am not looking at the "bigger picture". I am struggling to convince my boss that this works. So I hope to formalise my approach and maybe borrow a buzzword to confuse him. Incidentally, I read about Agile and SCRUM, about backlog and sprints. But it's all very vague to me still. QUESTION (finally): I want to tell him that this is SCRUM! But I want to hold my breath first and ask whether my current approach is considered SCRUM or SCRUM-like? How can I make it more SCRUM-like? Note that I have only myself, there's no project leader or teams.

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  • Pros and Cons of Session Replication

    - by techsjs2012
    Do I really need Session Replication? I am working on a number of web projects for a firm. Most of the projects are about one or two pages of input and then doing a save to a mysql database. Very Basic projects. My SA's are pushing to try to get session replication working in JBoss but I don't really see any need for it and all of its overhead. We need load balancing and clustering so if the server does go down we can move the new requests to the backup service but I am not to big in session replication. This is very low volume projects. In my eyes what is the odds of a user being in the project as the server goes down on the one or two pages. I need to convince the SAs that session replication is an un-necessary complication in this instance. I am looking for pros and cons of session replication so that I can better structure my argument.

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  • Can't type my username and password, random freeze at login

    - by rakesh
    My netbook runs a dual OS(Windows7 & Ubuntu 12.04). After Ubuntu login screen appears, that’s it, it gets hanged, can't even move my cursor nor type my user name. I had to turn off my system and boot again. Still its not sure that it won't freeze out at login screen again, but this is the temporary solution I have to get into Ubuntu. This freezing at login screen doesn't happen every time, it happens randomly. It seems like I had to enter into Ubuntu purely based on my luck, which is quite irritating. I found many other types of login problem in Ubuntu when I googled, which were quite different from my case. So any1 kindly help me out.

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  • How To Use USB Drives With the Nexus 7 and Other Android Devices

    - by Chris Hoffman
    The Nexus 7 may not have a lot of storage space – especially the original 8 GB model – but you can connect a USB drive to it if you want to watch videos or access other files. Unfortunately, Android doesn’t automatically mount USB drives by default. You’ll need to root your device to enable support for USB drives. Why Does 64-Bit Windows Need a Separate “Program Files (x86)” Folder? Why Your Android Phone Isn’t Getting Operating System Updates and What You Can Do About It How To Delete, Move, or Rename Locked Files in Windows

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  • Questions Anyone?

    - by Kevin Smith
    I've been working with WebCenter Content for almost 9 years now and have a ton of topics rolling around my head that I'm sure would make excellent blog post once I find the time to write them up. Does anyone have any questions they would like answered? Like why does WCC do ...? How does this feature work? I can't seem to get this working? Post your question to the comments and if it is something on my list of topics I had planned on creating a blog post about I will move it to the top of the list.

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  • How can set up a file sharing server to allow remote access over a WAN?

    - by pst007x
    I want to set up a server to allow remote access over a WAN. The purpose is to allow people to remote connect and download specific files from a specified folder hosted on the server. Is there software available to achieve this, preferably with an interface so I can easily add and remove users, plus monitor who is connected at any time? I have looked around and only found terminal references, and not very clear how to set up. I have a service running on my Win server, but I am hoping to move from that to Ubuntu for my file sharing. I do not want people who access the server to have any local accounts or any access to any folder/files apart from authorised folders/files. Thanks

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  • Not Quite Multiseat

    - by user2773520
    I am attempting to create a pair programming environment sort of set up like multiseat: https://help.ubuntu.com/community/MultiseatX[1] or https://help.ubuntu.com/community/MultiseatOneCard[2] (as the standard issue boxes only have one graphics card) The thing is, I only want one login session, just with 2 monitors, keyboards, and mice. As well as having 2 active applications (so 2 people can be typing independantly). They should ideally be able to mouse over and click & type in the other persons monitor, as well as move windows between the montors. Does anybody know of anything like this that will work? We are running Ubuntu 12.04.

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  • How to remove unused usings from class file ?

    - by Samir R. Bhogayta
    When we create a .cs file means code file class is automatically create. That .cs file means class has default usings for namespace. using System;using System.Collections.Generic;using System.Linq;using System.Web;using System.Web.UI;using System.Web.UI.WebControls; We don't use all namespaces  in that class so we have to remove unused namespaces from file. We can remove  namespace manually but it takes time and need full knowledge of class library so we can use Visual Studio . Step 1:  Right Click in .cs File. Step 2:  Move on Organize usings. Step 3: Click on Remove Unused Usings. After that we have only those namespaces in the file these are using.  

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  • Hover alternatve for touch devices [migrated]

    - by Joshua Frank
    I'm building a standard infographic where you mouse over a region and the image changes as you move. For instance, imagine a map of the world, and when you mouse over a country, that country glows and a panel shows statistics about that country. The implementation is to have a separate image for the glowing country, and a div element with the statistics, and the code shows these additional elements on a hover over the country. The question is: what should this do on a tablet, where there's no hover event? What's a good alternative navigation metaphor for this kind of situation on touch-only devices?

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  • What's the recommended way of doing a HUD for an android game?

    - by joxnas
    Basically the question is in the title. I'm creating a RTS game and I will need buttons like attack move / attack ground, etc. I am not using any engine. When people do games in OpenGL for android (my case), do they ever use android components to control the game or do they create their components in the game? What are the general recommended approach, if there's any? How about more complex components like scrolling lists of items , etc? I would also appreciate you to pair your answer with a brief comment about how was your experience using the approach(es) you describe. Thanks :)

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  • Need some help implementing VBO's with Frustum Culling

    - by Isracg
    i'm currently developing my first 3D game for a school project, the game world is completely inspired by minecraft (world completely made out of cubes). I'm currently seeking to improve the performance trying to implement vertex buffer objects but i'm stuck, i already have this methods implemented: Frustum culling, only drawing exposed faces and distance culling but i have the following doubts: I currently have about 2^24 cubes in my world, divided in 1024 chunks of 16*16*64 cubes, right now i'm doing immediate mode rendering, which works well with frustum culling, if i implement one VBO per chunk, do i have to update that VBO each time i move the camera (to update the frustum)? is there a performance hit with this? Can i dynamically change the size of each VBO? of do i have to make each one the biggest possible size (the chunk completely filled with objects)?. Would i have to keep each visited chunk in memory or could i efficiently remove that VBO and recreated it when needed?.

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  • Free eBook on ASP.NET MVC 4

    - by TATWORTH
    Syncfusion is offering a free book "ASP.NET MVC 4" at http://www.syncfusion.com/resources/techportal/ebooks/aspnetmvc4?utm_medium=BizDev-Innerworkings0912"Syncfusion has been a firm believer in ASP.NET MVC for web development since its beginning. And now that the use of mobile devices over desktops is skyrocketing, MVC is the most viable option for mobile development. With ASP.NET MVC 4 Mobile Websites Succinctly by Lyle Luppes, developers currently using ASP.NET and MVC 3 can make the move to MVC 4 with minimal effort. Complete with downloadable code samples, a walkthrough of features new to MVC 4, and even a few tips for MVC 3 mobile development if you're hesitant to make the switch, this book will teach you how to make a website with MVC 4 that can handle the unique challenges presented by mobile and desktop clients. " They have further free books available at http://www.syncfusion.com/resources/techportal

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  • Efficient way to render tile-based map in Java

    - by Lucius
    Some time ago I posted here because I was having some memory issues with a game I'm working on. That has been pretty much solved thanks to some suggestions here, so I decided to come back with another problem I'm having. Basically, I feel that too much of the CPU is being used when rendering the map. I have a Core i5-2500 processor and when running the game, the CPU usage is about 35% - and I can't accept that that's just how it has to be. This is how I'm going about rendering the map: I have the X and Y coordinates of the player, so I'm not drawing the whole map, just the visible portion of it; The number of visible tiles on screen varies according to the resolution chosen by the player (the CPU usage is 35% here when playing at a resolution of 1440x900); If the tile is "empty", I just skip drawing it (this didn't visibly lower the CPU usage, but reduced the drawing time in about 20ms); The map is composed of 5 layers - for more details; The tiles are 32x32 pixels; And just to be on the safe side, I'll post the code for drawing the game here, although it's as messy and unreadable as it can be T_T (I'll try to make it a little readable) private void drawGame(Graphics2D g2d){ //Width and Height of the visible portion of the map (not of the screen) int visionWidht = visibleCols * TILE_SIZE; int visionHeight = visibleRows * TILE_SIZE; //Since the map can be smaller than the screen, I center it just to be sure int xAdjust = (getWidth() - visionWidht) / 2; int yAdjust = (getHeight() - visionHeight) / 2; //This "deducedX" thing is to move the map a few pixels horizontally, since the player moves by pixels and not full tiles int playerDrawX = listOfCharacters.get(0).getX(); int deducedX = 0; if (listOfCharacters.get(0).currentCol() - visibleCols / 2 >= 0) { playerDrawX = visibleCols / 2 * TILE_SIZE; map_draw_col = listOfCharacters.get(0).currentCol() - visibleCols / 2; deducedX = listOfCharacters.get(0).getXCol(); } //"deducedY" is the same deal as "deducedX", but vertically int playerDrawY = listOfCharacters.get(0).getY(); int deducedY = 0; if (listOfCharacters.get(0).currentRow() - visibleRows / 2 >= 0) { playerDrawY = visibleRows / 2 * TILE_SIZE; map_draw_row = listOfCharacters.get(0).currentRow() - visibleRows / 2; deducedY = listOfCharacters.get(0).getYRow(); } int max_cols = visibleCols + map_draw_col; if (max_cols >= map.getCols()) { max_cols = map.getCols() - 1; deducedX = 0; map_draw_col = max_cols - visibleCols + 1; playerDrawX = listOfCharacters.get(0).getX() - map_draw_col * TILE_SIZE; } int max_rows = visibleRows + map_draw_row; if (max_rows >= map.getRows()) { max_rows = map.getRows() - 1; deducedY = 0; map_draw_row = max_rows - visibleRows + 1; playerDrawY = listOfCharacters.get(0).getY() - map_draw_row * TILE_SIZE; } //map_draw_row and map_draw_col representes the coordinate of the upper left tile on the screen //iterate through all the tiles on screen and draw them - this is what consumes most of the CPU for (int col = map_draw_col; col <= max_cols; col++) { for (int row = map_draw_row; row <= max_rows; row++) { Tile[] tiles = map.getTiles(col, row); for(int layer = 0; layer < tiles.length; layer++){ Tile currentTile = tiles[layer]; boolean shouldDraw = true; //I only draw the tile if it exists and is not empty (id=-1) if(currentTile != null && currentTile.getId() >= 0){ //The layers above 1 can be draw behing or infront of the player according to where it's standing if(layer > 1 && currentTile.getId() >= 0){ if(playerBehind(col, row, layer, listOfCharacters.get(0))){ behinds.get(0).add(new int[]{col, row}); //the tiles that are infront of the player wont be draw right now shouldDraw = false; } } if(shouldDraw){ g2d.drawImage( tiles[layer].getImage(), (col-map_draw_col)*TILE_SIZE - deducedX + xAdjust, (row-map_draw_row)*TILE_SIZE - deducedY + yAdjust, null); } } } } } } There's some more code in this method but nothing relevant to this question. Basically, the biggest problem is that I iterate over around 5000 tiles (in this specific resolution) 60 times each second. I thought about rendering the visible portion of the map once and storing it into a BufferedImage and when the player moved move the whole image the same amount but to the opposite side and then drawn the tiles that appeared on the screen, but if I do it like that, I wont be able to have animated tiles (at least I think). That being said, any suggestions?

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  • How do I get one monitor on top of the other in Ubuntu 10.10?

    - by Jan
    I'm using a laptop and a monitor (wall mounted) over my laptop. I would like to reflect this physical hardware setup in my software screen setup. So that I can move my mouse upward, out of my laptop screen and use the monitor on the wall. I have been searching for a solution for a while, and I hope somone can help me out. I'm using Ubuntu 10.10 "out of the box". Side by side screen setups works just fine, over/under is doesn't work.

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  • Why do we use the Pythagorean theorem in game physics?

    - by Starkers
    I've recently learned that we use Pythagorean theorem a lot in our physics calculations and I'm afraid I don't really get the point. Here's an example from a book to make sure an object doesn't travel faster than a MAXIMUM_VELOCITY constant in the horizontal plane: MAXIMUM_VELOCITY = <any number>; SQUARED_MAXIMUM_VELOCITY = MAXIMUM_VELOCITY * MAXIMUM_VELOCITY; function animate(){ var squared_horizontal_velocity = (x_velocity * x_velocity) + (z_velocity * z_velocity); if( squared_horizontal_velocity <= SQUARED_MAXIMUM_VELOCITY ){ scalar = squared_horizontal_velocity / SQUARED_MAXIMUM_VELOCITY; x_velocity = x_velocity / scalar; z_velocity = x_velocity / scalar; } } Let's try this with some numbers: An object is attempting to move 5 units in x and 5 units in z. It should only be able to move 5 units horizontally in total! MAXIMUM_VELOCITY = 5; SQUARED_MAXIMUM_VELOCITY = 5 * 5; SQUARED_MAXIMUM_VELOCITY = 25; function animate(){ var x_velocity = 5; var z_velocity = 5; var squared_horizontal_velocity = (x_velocity * x_velocity) + (z_velocity * z_velocity); var squared_horizontal_velocity = 5 * 5 + 5 * 5; var squared_horizontal_velocity = 25 + 25; var squared_horizontal_velocity = 50; // if( squared_horizontal_velocity <= SQUARED_MAXIMUM_VELOCITY ){ if( 50 <= 25 ){ scalar = squared_horizontal_velocity / SQUARED_MAXIMUM_VELOCITY; scalar = 50 / 25; scalar = 2.0; x_velocity = x_velocity / scalar; x_velocity = 5 / 2.0; x_velocity = 2.5; z_velocity = z_velocity / scalar; z_velocity = 5 / 2.0; z_velocity = 2.5; // new_horizontal_velocity = x_velocity + z_velocity // new_horizontal_velocity = 2.5 + 2.5 // new_horizontal_velocity = 5 } } Now this works well, but we can do the same thing without Pythagoras: MAXIMUM_VELOCITY = 5; function animate(){ var x_velocity = 5; var z_velocity = 5; var horizontal_velocity = x_velocity + z_velocity; var horizontal_velocity = 5 + 5; var horizontal_velocity = 10; // if( horizontal_velocity >= MAXIMUM_VELOCITY ){ if( 10 >= 5 ){ scalar = horizontal_velocity / MAXIMUM_VELOCITY; scalar = 10 / 5; scalar = 2.0; x_velocity = x_velocity / scalar; x_velocity = 5 / 2.0; x_velocity = 2.5; z_velocity = z_velocity / scalar; z_velocity = 5 / 2.0; z_velocity = 2.5; // new_horizontal_velocity = x_velocity + z_velocity // new_horizontal_velocity = 2.5 + 2.5 // new_horizontal_velocity = 5 } } Benefits of doing it without Pythagoras: Less lines Within those lines, it's easier to read what's going on ...and it takes less time to compute, as there are less multiplications Seems to me like computers and humans get a better deal without Pythagorean theorem! However, I'm sure I'm wrong as I've seen Pythagoras' theorem in a number of reputable places, so I'd like someone to explain me the benefit of using Pythagorean theorem to a maths newbie. Does this have anything to do with unit vectors? To me a unit vector is when we normalize a vector and turn it into a fraction. We do this by dividing the vector by a larger constant. I'm not sure what constant it is. The total size of the graph? Anyway, because it's a fraction, I take it, a unit vector is basically a graph that can fit inside a 3D grid with the x-axis running from -1 to 1, z-axis running from -1 to 1, and the y-axis running from -1 to 1. That's literally everything I know about unit vectors... not much :P And I fail to see their usefulness. Also, we're not really creating a unit vector in the above examples. Should I be determining the scalar like this: // a mathematical work-around of my own invention. There may be a cleverer way to do this! I've also made up my own terms such as 'divisive_scalar' so don't bother googling var divisive_scalar = (squared_horizontal_velocity / SQUARED_MAXIMUM_VELOCITY); var divisive_scalar = ( 50 / 25 ); var divisive_scalar = 2; var multiplicative_scalar = (divisive_scalar / (2*divisive_scalar)); var multiplicative_scalar = (2 / (2*2)); var multiplicative_scalar = (2 / 4); var multiplicative_scalar = 0.5; x_velocity = x_velocity * multiplicative_scalar x_velocity = 5 * 0.5 x_velocity = 2.5 Again, I can't see why this is better, but it's more "unit-vector-y" because the multiplicative_scalar is a unit_vector? As you can see, I use words such as "unit-vector-y" so I'm really not a maths whiz! Also aware that unit vectors might have nothing to do with Pythagorean theorem so ignore all of this if I'm barking up the wrong tree. I'm a very visual person (3D modeller and concept artist by trade!) and I find diagrams and graphs really, really helpful so as many as humanely possible please!

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