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  • A Basic Thread

    - by Joe Mayo
    Most of the programs written are single-threaded, meaning that they run on the main execution thread. For various reasons such as performance, scalability, and/or responsiveness additional threads can be useful. .NET has extensive threading support, from the basic threads introduced in v1.0 to the Task Parallel Library (TPL) introduced in v4.0. To get started with threads, it's helpful to begin with the basics; starting a Thread. Why Do I Care? The scenario I'll use for needing to use a thread is writing to a file.  Sometimes, writing to a file takes a while and you don't want your user interface to lock up until the file write is done. In other words, you want the application to be responsive to the user. How Would I Go About It? The solution is to launch a new thread that performs the file write, allowing the main thread to return to the user right away.  Whenever the file writing thread completes, it will let the user know.  In the meantime, the user is free to interact with the program for other tasks. The following examples demonstrate how to do this. Show Me the Code? The code we'll use to work with threads is in the System.Threading namespace, so you'll need the following using directive at the top of the file: using System.Threading; When you run code on a thread, the code is specified via a method.  Here's the code that will execute on the thread: private static void WriteFile() { Thread.Sleep(1000); Console.WriteLine("File Written."); } The call to Thread.Sleep(1000) delays thread execution. The parameter is specified in milliseconds, and 1000 means that this will cause the program to sleep for approximately 1 second.  This method happens to be static, but that's just part of this example, which you'll see is launched from the static Main method.  A thread could be instance or static.  Notice that the method does not have parameters and does not have a return type. As you know, the way to refer to a method is via a delegate.  There is a delegate named ThreadStart in System.Threading that refers to a method without parameters or return type, shown below: ThreadStart fileWriterHandlerDelegate = new ThreadStart(WriteFile); I'll show you the whole program below, but the ThreadStart instance above goes in the Main method. The thread uses the ThreadStart instance, fileWriterHandlerDelegate, to specify the method to execute on the thread: Thread fileWriter = new Thread(fileWriterHandlerDelegate); As shown above, the argument type for the Thread constructor is the ThreadStart delegate type. The fileWriterHandlerDelegate argument is an instance of the ThreadStart delegate type. This creates an instance of a thread and what code will execute, but the new thread instance, fileWriter, isn't running yet. You have to explicitly start it, like this: fileWriter.Start(); Now, the code in the WriteFile method is executing on a separate thread. Meanwhile, the main thread that started the fileWriter thread continues on it's own.  You have two threads running at the same time. Okay, I'm Starting to Get Glassy Eyed. How Does it All Fit Together? The example below is the whole program, pulling all the previous bits together. It's followed by its output and an explanation. using System; using System.Threading; namespace BasicThread { class Program { static void Main() { ThreadStart fileWriterHandlerDelegate = new ThreadStart(WriteFile); Thread fileWriter = new Thread(fileWriterHandlerDelegate); Console.WriteLine("Starting FileWriter"); fileWriter.Start(); Console.WriteLine("Called FileWriter"); Console.ReadKey(); } private static void WriteFile() { Thread.Sleep(1000); Console.WriteLine("File Written"); } } } And here's the output: Starting FileWriter Called FileWriter File Written So, Why are the Printouts Backwards? The output above corresponds to Console.Writeline statements in the program, with the second and third seemingly reversed. In a single-threaded program, "File Written" would print before "Called FileWriter". However, this is a multi-threaded (2 or more threads) program.  In multi-threading, you can't make any assumptions about when a given thread will run.  In this case, I added the Sleep statement to the WriteFile method to greatly increase the chances that the message from the main thread will print first. Without the Thread.Sleep, you could run this on a system with multiple cores and/or multiple processors and potentially get different results each time. Interesting Tangent but What Should I Get Out of All This? Going back to the main point, launching the WriteFile method on a separate thread made the program more responsive.  The file writing logic ran for a while, but the main thread returned to the user, as demonstrated by the print out of "Called FileWriter".  When the file write finished, it let the user know via another print statement. This was a very efficient use of CPU resources that made for a more pleasant user experience. Joe

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  • Using Ubuntu without any knowledge of Linux

    - by Kiran Aaditya Jhonny
    Can I still install and use Ubuntu without any basic knowledge of a Linux operating system - do I need any background knowledge of Linux to use Ubuntu? If so, what will be the limits of my experience? Also, I heard from http://www.whylinuxisbetter.net/ that I don't need any drivers for hardware and peripherals. Can somebody shed some light on this statement? P.S. I don't know if these questions have been asked yet, I searched for these (maybe I didn't search hard enough), but I didn't find any.

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  • Cocoa multiple threads, locks don't work

    - by Igor
    I have a threadMethod which shows in console robotMotorsStatus every 0.5 sec. But when I try to change robotMotorsStatus in changeRobotStatus method I receive an exception. Where I need to put locks in that program. #import "AppController.h" @implementation AppController extern char *robotMotorsStatus; - (IBAction)runThread:(id)sender { [self performSelectorInBackground:@selector(threadMethod) withObject:nil]; } - (void)threadMethod { char string_to_send[]="QFF001100\r"; //String prepared to the port sending (first inintialization) string_to_send[7] = robotMotorsStatus[0]; string_to_send[8] = robotMotorsStatus[1]; while(1){ [theLock lock]; usleep(500000); NSLog (@"Robot status %s", robotMotorsStatus); [theLock unlock]; } } - (IBAction)changeRobotStatus:(id)sender { robotMotorsStatus[0]='1'; }

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  • Why is it java code indented as BSD KNF Style and C C++ code indented as Allman or BSD style?

    - by Caffeine
    I do understand that coding convention is a matter of preference, and that different coding conventions have different subtle advantages or shortcomings, and depending on what one wants, one should choose his/her style. But why is usually Java written where the opening brace is on the same line as the function definition of control statement, and in C or C++ the curly braces have a line of their own? BSD KNF style if (data != NULL && res > 0) { if (JS_DefineProperty(cx, o, "data", STRING_TO_JSVAL(JS_NewStringCopyN(cx, data, res)), NULL, NULL, JSPROP_ENUMERATE) != 0) { QUEUE_EXCEPTION("Internal error!"); goto err; } PQfreemem(data); } else { if (JS_DefineProperty(cx, o, "data", OBJECT_TO_JSVAL(NULL), NULL, NULL, JSPROP_ENUMERATE) != 0) { QUEUE_EXCEPTION("Internal error!"); goto err; } } Allman or BSD Style if (x == y) { something(); somethingelse(); } Courtesy: http://en.wikipedia.org/wiki/Indent_style

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  • Which will be faster? Switching shaders or ignore that some cases don't need full code?

    - by PolGraphic
    I have two types of 2d objects: In first case (for about 70% of objects), I need that code in the shader: float2 texCoord = input.TexCoord + textureCoord.xy But in the second case I have to use: float2 texCoord = fmod(input.TexCoord, texCoordM.xy - textureCoord.xy) + textureCoord.xy I can use second code also for first case, but it will be a little slower (fmod is useless here, input.TexCoord will be always lower than textureCoord.xy - textureCoord.xy for sure). My question is, which way will be faster: Making two independent shaders for both types of rectangles, group rectangles by types and switch shaders during rendering. Make one shader and use some if statement. Make one shader and ignore that sometimes (70% of cases) I don't need to use fmod.

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  • Un-used Indexes on MDP_MATRIX Consuming Resources

    - by user702295
    Disable un-used Indexes: As much as it is recommended to create relevant indexes, it is advised not to have too many indexes on the mdp_matrix table.  Too many indexes will cause long waits on the table as indexes needs to get updated every time the table is updated.  There are many seeded indexes on mdp_matrix, every out of the box data model level has an index on the matrix table.  If a level is unused in the specific data model of the implementation, it is advisable to disable that index.  If the customer is not sure if and how indexes are utilized, the DBA can monitor all indexes.  After a few cycles of operation, the DBA should go over that list and see which indexes have not been used.  Consider disabling them. There are scripts on the net to monitor indexes or use the monitoring usage clause in the alter index statement.

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  • ISTQB terminology question (Defect)

    - by user970696
    According to ISTQB (and few more sources + wiki ), a defect/bug is the actual cause of error in software, e.g. incorrect statement, logical or semantic error. The actual definion is: a flaw in the system or component that could lead to the failure. But what about specification bugs? I cannot relate to it. Specification bugs are quite common but if the programmer implements software according to spec with a bug, it is not his fault (IMHO). But then the definion could not apply and I am sure it must have been addressed somehow. Could you help me to understand this?

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  • OBIA on Teradata - Part 1 Loader and Monitoring

    - by Mohan Ramanuja
    Normal 0 false false false EN-US X-NONE X-NONE /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-qformat:yes; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin:0in; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri","sans-serif"; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-fareast-font-family:"Times New Roman"; mso-fareast-theme-font:minor-fareast; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;} The out-of-the-box (OOB) OBIA Informatica mappings come with TPump loader.   TPUMP  FASTLOAD TPump does not lock the table. FastLoad applies exclusive lock on the table. The table that TPump is loading can have data. The table that FastLoad is loading needs to be empty. Normal 0 false false false EN-US X-NONE X-NONE /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-qformat:yes; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin:0in; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri","sans-serif"; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-fareast-font-family:"Times New Roman"; mso-fareast-theme-font:minor-fareast; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;} TPump is not efficient with lookups. FastLoad is more efficient in the absence of lookups. Normal 0 false false false EN-US X-NONE X-NONE /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-qformat:yes; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin:0in; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri","sans-serif"; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-fareast-font-family:"Times New Roman"; mso-fareast-theme-font:minor-fareast; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;} The out-of the box Informatica mappings come with TPump loader. There is chance for bottleneck in writer thread The out-of the box tables in Teradata supplied with OBAW features all Dimension and Fact tables using ROW_WID as the key for primary index. Also, all staging tables use integration_id as the key for primary index. This reduces skewing of data across Teradata AMPs.You can use an SQL statement similar to the following to determine if data for a given table is distributed evenly across all AMP vprocs. The SQL statement displays the AMP with the most used through the AMP with the least-used space, investigating data distribution in the Message table in database RST.SELECT vproc,CurrentPermFROM DBC.TableSizeWHERE Databasename = ‘PRJ_CRM_STGC’AND Tablename = ‘w_party_per_d’ORDER BY 2 descIf you suspect distribution problems (skewing) among AMPS, the following is a sample of what you might enter for a three-column PI:SELECT HASHAMP (HASHBUCKET (HASHROW (col_x, col_y, col_z))), count (*)FROM hash15GROUP BY 1ORDER BY 2 desc; ETL Error Monitoring Error Table – These are tables that start with ET. Location and name can be specified in Informatica session as well as the loader connection.Loader Log – Loader log is available in the Informatica server under the session log folder. These give feedback on the loader parameters such as Packing Factor to use. These however need to be monitored in the production environment. The recommendations made in one environment may not be used in another environment.Log Table – These are tables that start with TL. These are sparse on information.Bad File – This is the Informatica file generated in case there is data quality issues

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  • Camera movement and threshold not working

    - by irish guy mcconagheh
    I have a platformer that is in progress, part of this has a camera which I only want to move when the character moves out of a certain threshold, to try to accomplish this I have the following if statement: if(((Mathf.Abs(target.transform.position.x))-(Mathf.Abs(transform.position.x)))>thres){ x = moveTo(transform.position.x, target.position.x, trackSpeed); } in unity/c#. In pseudocode it means if((absolute value of player x) - (absolute value of camera x) is greater than the threshold){ move { however this does not seem to work correctly. it appears to work for the first couple of times the threshold is reached, however the distance between the camera and the player has to increase every time for the camera to move. I do not believe the movement of the camera is the problem, however the code for it is as follows: private float moveTo(float n, float target, float accel) { if (n == target) { return n; } else { float dir = Mathf.Sign(target - n); n += accel * Time.deltaTime * dir; return (dir == Mathf.Sign(target-n))? n: target; } } }

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  • What is Perl's relation with hackers?

    - by K.Steff
    I know Perl is a language revered by many hackers (as in hacker vs cracker) and respected by many good programmers for its expressiveness. I also realize it is useful to know and it's very handy at generalizing common Unix tasks (Unix here includes Linux and Cygwin). I also know that being a good hacker probably means you're a good programmer in general (references on this one are sparse around the web, but about everything Paul Graham has ever written seems approving of this statement to me). So my question is whether there is a reason that attracts hackers to Perl in particular? Will learing Perl improve my general programming, problem-solving and hacking skills if done properly? Does it present unique tools that are more useful to a hacker?

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  • Clarification of "avoid if-else" advice [duplicate]

    - by deviDave
    This question already has an answer here: Elegant ways to handle if(if else) else 21 answers The experts in clean code advise not to use if/else since it's creating an unreadable code. They suggest rather using IF and not to wait till the end of a method without real need. Now, this if/else advice confuses me. Do they say that I should not use if/else at all (!) or to avoid if/else nesting? Also, if they refer to the nesting of if/else, should I not do even a single nesting or I should limit it to max 2 nestings (as some recommends)? When I say single nesting, I mean this: if (...) { if (...) { } else { } } else { } EDIT Also tools like Resharper will suggest reformatting if/else statements. It usually concerts them to if stand-alone statement, and sometimes even to ternary expression.

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  • WeakReferences are not freed in embedded OS

    - by Carsten König
    I've got a strange behavior here: I get a massive memory leak in production running a WPF application that runs on a DLOG-Terminal (Windows Embedded Standard SP1) that behaves perfectly fine if I run it localy on a normal desktop (Win7 prof.) After many unsucessful attempts to find any problem I put one of those directly beside my monitor, installed the ANTs MemoryProfiler and did one hour test run simulating user operations on both the terminal and my development PC. Result is, that due to some strange reasons the embedded system piles up a huge amount of WeakReference and EffectiveValueEntry[] Objects. Here are are some pictures: Development (PC): And the terminal: Just look at the class list... Has anyone seen something like this before and are there known solutions to this? Where can I get help? (PS the terminals where installed with images prepared for .net4)

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  • Lean/Kanban *Inside* Software (i.e. WIP-Limits, Reducing Queues and Pull as Programming Techniques)

    - by Christoph
    Thinking about Kanban, I realized that the queuing-theory behind the SW-development-methodology obviously also applies to concurrent software. Now I'm looking for whether this kind of thinking is explicitly applied in some area. A simple example: We usually want to limit the number of threads to avoid cache-thrashing (WIP-Limits). In the paper about the disruptor pattern[1], one statement that I found interesting was that producer/consumers are rarely balanced so when using queues, either consumers wait (queues are empty), or producers produce more than is consumed, resulting in either a full capacity-constrained queue or an unconstrained one blowing up and eating away memory. Both, in lean-speak, is waste, and increases lead-time. Does anybody have examples of WIP-Limits, reducing/eliminating queues, pull or single piece flow being applied in programming? http://disruptor.googlecode.com/files/Disruptor-1.0.pdf

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  • Swing: what to do when a GUI update takes too long and freezes other GUI elements?

    - by java.is.for.desktop
    Hello, everyone! I know that GUI code in Java Swing must be put inside SwingUtilities.invokeAndWait or SwingUtilities.invokeLater. This way threading works fine. Sadly, in my situation, the GUI update it that thing which takes much longer than background thread(s). More specific: I update a JTree with about just 400 entries, nesting depth is maximum 4, so should be nothing scary, right? But it takes sometimes one second! I need to ensure that the user is able to type in a JTextPane without delays. Well, guess what, the slow JTree updates do cause delays for JTextPane during input. It refreshes only as soon as the tree gets updated. I am using Netbeans and know empirically that a Java app can update lots of information without freezing the rest of the UI. How can it be done? NOTE 1: All those DefaultMutableTreeNodes are prepared outside the invokeAndWait. NOTE 2: When I replace invokeAndWait with invokeLater the tree doesn't get updated.

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  • Why does the instruction "do" require a "while"?

    - by 909 Niklas
    Since this statement is so common: while (true) (Java) or while (1) (C) or sometimes for (;;) Why is there not a single instruction for this? I could think that an instruction that could do it is just do but do requires a while at the end of the block but it would be more logical to write an infinite loop like this do { //loop forever } Why not? AFAIK the instruction do always requires a while at the end but if we could use it like above then it would be a clear way to define something like while (true) which I think should not be written like that (or for (;;)).

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  • How important is caching for a site's speed with PHP?

    - by benhowdle89
    I've just made a user-content orientated website http://www.humanisms.co.uk Its done in PHP, MySQL and jQuery's AJAX, at the moment there is only a dozen or so submissions and already i can feel it lagging slightly when it goes to a new page (therefore running a new mysql query) Is it most important for me to try and optimise my mysql queries (by prepared statements) or is it worth in looking at CDN's (amazon s3) and caching (much like the WordPress plugin WP Super Cache) which works by serving static HTML files when there hasnt been new content submitted. Which route is the most beneficial, for me as a developer, to take, ie. where am i better off concentrating my efforts to speed up the site?

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  • User prompts (MessageBox) with MVVM

    - by mukapu
    The problem statement: I am tired of thinking how to show a simple message box or user prompt and act based on the response in Model-View-View-Model (MVVM). Common approaches: - It's ok, let's just do this one thing from ViewModel and mock this out for unit testing - Design my own dialog, then what to do from there - Can I write something in view code behind, ah yes, that seems to be the only way out, as anyway MVVM is still not matured...  - and what not?   I am pretty much one among the few frustrated out in this world looking for some convincing answers. I think we can do it a little neater without having the feeling of violating any of our self defined rules! Solution: The Control - Implement a simple control with no designer visibility. - Allow a property to be bound to tell when to show the MessageBox - Provide command binding for possible user actions, Yes, No, Cancel... How do I Use? - Just place the necessary XAML tags in the view - Implement the command for all user actions in the View Model - Run unit tests on the commands

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  • How do I avoid "Developer's Bad Optimization Intuition"?

    - by Mona
    I saw on a article that put forth this statement: Developers love to optimize code and with good reason. It is so satisfying and fun. But knowing when to optimize is far more important. Unfortunately, developers generally have horrible intuition about where the performance problems in an application will actually be. How can a developer avoid this bad intuition? Are there good tools to find which parts of your code really need optimization (for Java)? Do you know of some articles, tips, or good reads on this subject?

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  • How can Java be improved so that it no longer needs to perform type erasure? [closed]

    - by user63904
    The official Java tutorial on generics explains type erasure and why it was added to the compiler: When a generic type is instantiated, the compiler translates those types by a technique called type erasure — a process where the compiler removes all information related to type parameters and type arguments within a class or method. Type erasure enables Java applications that use generics to maintain binary compatibility with Java libraries and applications that were created before generics. This most likely was a pragmatic approach, or perhaps the least painful one. However, now that generics is widely supported across the industry, what can be done in order for us to not need type erasure? Is it feasible with out needing to break backwards compatibility, or if it is feasible, is it practical? Has the last the last statement in the quote above become self referential? That is: "type erasure enables Java applications that use generics to maintain binary compatibility with Java libraries and applications that were created with Java versions that perform type erasure."

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  • Free LINQPad is a great way to learn LINQ!

    - by CatherineRussell
    LINQPad is a great way to learn LINQ: it comes loaded with 500 examples from the book, C# 4.0 in a Nutshell.  There's no better way to experience the coolness of LINQ and functional programming. LINQPad is more than just a LINQ tool: it's an ergonomic C#/VB scratchpad that instantly executes any C#/VB expression, statement block or program with rich output formatting – the ultimate in dynamic development. Put an end to those hundreds of Visual Studio Console projects cluttering your source folder! Best of all, LINQPad standard edition is free and can run without installation (or with a low-impact setup). The executable is 3MB and is self-updating. To get it, go to: http://www.linqpad.net/

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  • JDK 7 In Action - Learn With Java Tutorials and Developer Guides

    - by sowmya
    At JavaOne 2012, Stuart Marks, Mike Duigou, and Joe Darcy gave a presentation about JDK 7 In Action. Learn more about using JDK 7 features with the help of Java Tutorials and JDK 7 Developer Guides. Links to relevant information are provided below. If you are considering moving to JDK 7 from a previous release, the JDK 7 Release Notes and JDK 7 Adoption Guide are great resources. Project Coin Features Improved Literals * Literals section in Primitive Datatypes topic. * Binary Literals * Underscores in Numeric Literals Strings In Switch * Strings In Switch Diamond * Type Inference for Generic Instance Creation * Type Inference and Instantiation of Generic Classes Multi-catch and Precise Throw * Catching Multiple Exception Types and Rethrowing Exceptions with Improved Type Checking * Catch Blocks Try-with-resources * The try-with-resources Statement NIO.2 File System API * File I/O for information on path, files, change notification, and more * Zip File System Provider * Zip File System Provider * Developing a Custom File System Provider Fork Join Framework * Fork/Join - Sowmya

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  • Depth is disabled - How to turn on?

    - by marc wellman
    In XNA 3.1 is there any other way to disable depth in 3D Worlds using DirectX models other than GraphicsDevice.RenderState.DepthBufferEnable = false; ? The reason for my question is I have quite a huge program which offers a 3D World with a couple of 3D DirectX models inside. Depth was never an issue since it ever worked fine but since a few days after doing some modifications my models are all depth-translucent i.e. depth-buffering and/or culling seems to be disabled. But in my whole source code I never touch any of the options related to Depth or Culling which means I never turn these settings on explicitly nor turn it off somewhere. So I am searching for some other statement maybe related to the GraphicsDevice that implicitly turns depth off - but I can't find it. (Sorry that I don't post any source code but I have too much source code and I simply don't know where to search) UPDATE: These are a couple of simple objects seen with correct depth. These are the same objects in their current state.

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  • Align table columns HTML

    - by Luigi Tiburzi
    I finally was able to align the columns in the tables of a page of my website. Though I found the solution I don't understand it. This is a fiddle I prepared. If you delete display: block from the CSS the columns are centered perfectly. The fact is that I don't understand what that instruction is causing problems, doesn't it means that elements are displayed as block elements? Shouldn't it cause the elements (the raw in particular) to fill an entire line? Thanks for your explanation

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  • Arguments for or against using Try/Catch as logical operators

    - by James P. Wright
    I just discovered some lovely code in our companies app that uses Try-Catch blocks as logical operators. Meaning, "do some code, if that throws this error, do this code, but if that throws this error do this 3rd thing instead". It uses "Finally" as the "else" statement it appears. I know that this is wrong inherently, but before I go picking a fight I was hoping for some well thought out arguments. And hey, if you have arguments FOR the use of Try-Catch in this manner, please do tell. EDIT For any who are wondering, the language is C# and the code in question is about 30+ lines and is looking for specific exceptions, it is not handling ALL exceptions.

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  • How to solve linear recurrences involving two functions?

    - by Aditya Bahuguna
    Actually I came across a question in Dynamic Programming where we need to find the number of ways to tile a 2 X N area with tiles of given dimensions.. Here is the problem statement Now after a bit of recurrence solving I came out with these. F(n) = F(n-1) + F(n-2) + 2G(n-1), and G(n) = G(n-1) + F(n-1) I know how to solve LR model where one function is there.For large N as is the case in the above problem we can do the matrix exponentiation and achieve O(k^3log(N)) time where k is the minimum number such that for all km F(n) does not depend on F(n-k). The method of solving linear recurrence with matrix exponentiation as it is given in that blog. Now for the LR involving two functions can anyone suggest an approach feasible enough for large N.

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