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• Floating point arithmetics restricted to integers

  - by user396672

  I use doubles for a uniform implementation of some arithmetic calculations. These calculations may be actually applied to integers too, but there are no C++-like templates in Java and I don't want to duplicate the implementation code, so I simply use "double" version for ints. Does JVM spec guarantees the correctness of integer operations such a <=,=, +, -, *, and / (in case of remainder==0) when the operations are emulated as corresponding floating point ops? (Any integer, of course, has reasonable size to be represented in double's mantissa)

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• Floating point computer - Trouble with getting back correct results

  - by Francisco P.

  Having trouble with a challenge. Let's say I have a theoretical, base 10, floating point calculator with the following characteristics Only 3 digits for mantissa 1 digit for exponent Sign for mantissa and exponent How would this machine compute the following? 300 + \sum_{i=1}^{100} 0.2 The correct result is 320. The machine's result is 300. But why? Can't get where the 20 goes goes missing... Thanks for your time.

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• Custom Floating Point Representation

  - by Abion47

  I'm trying to write a parser that will read a particular file type, and I need to map the different data types to C# equivalents. Most of them aren't that difficult, but I'm having trouble wrapping my head around what "int16 with a bias of 14" means. I've deduced that it's some kind of floating point type, so my best bet would be to write a converter that would map it to a float, double, or decimal type. I'm not sure where to take it from here, though.

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• The Science of Brain Freezes [Video]

  - by Jason Fitzpatrick

  For many readers summer is in full swing and icy treats are abundant; check out this video to see the science behind how a frozen treat can bring on the dreaded “brain freeze”. [via Boing Boing] How to Make Your Laptop Choose a Wired Connection Instead of Wireless HTG Explains: What Is Two-Factor Authentication and Should I Be Using It? HTG Explains: What Is Windows RT and What Does It Mean To Me?

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• Brain Teaser: How Did I Do This (Part 1: The Solution)

  - by Geertjan

  In Part 1: The Challenge, published this time last week, I introduced a "brain teaser". The brain teaser asks you to figure out how to allow images and other files to be meaningfully dropped onto a NetBeans Platform application, i.e., on the drop something useful should happen with the dropped file: if the file is an image, the image should open in the IDE; if the file is a PDF document, the PDF viewer should open externally; if the file is a text file, it should open as a text in the IDE, etc. Solution. And here is the solution: http://bits.netbeans.org/dev/javadoc/org-openide-windows/org/openide/windows/ExternalDropHandler.html When an implementation of the "ExternalDropHandler" class is available in the global Lookup, and an object is being dragged over some part of the main window, the window system may call the methods of this class to decide whether it can accept or reject the drag operation. And when the object is actually dropped, this class will be asked to handle the drop. OK, so go ahead and implement the above class and put it into the Lookup. Or... guess what? The NetBeans Platform has a default implementation of the above class, appropriately named "DefaultExternalDropHandler". Not only is this useful to learn about how to implement the ExternalDropHandler class (i.e., by reading the source here): you can simply include the module that contains this class in your own NetBeans Platform application and then your application will be able to receive external drag/drop events and do something meaningful with them thanks to the DefaultExternalDropHandler. Do this: Open your NetBeans Platform application in NetBeans IDE. Right-click the application in the Projects window and choose Properties. In the Libraries tab, expand the "ide" cluster, and select "User Utilities". (That's where "DefaultExternalDropHandler.java" is found and registered in the Lookup.) Now click the "Resolve" button, if it appears, because some additional related modules need to now be included, if they haven't been included yet. Again in the "ide" cluster in the Libraries tab, select "Image". That's the Image Editor. Click OK. Run the application. Drag an image or some other type of file into your application, from outside the application, and you'll see the application tries to handle the drop. If the file being dragged is an image, it will open in the Image Editor, which you included in the previous step of these instructions. Hurray, you're done. Without any programming at all, you've added a cool new feature to your application.

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• Floating DIV's alignment problem.

  - by Rodrigo

  I have a fluid layout with DIV's of different heights and widths, and I'd like them to be aligned by lines, kind of like when you do a search on istockphoto, except aligned to the top: image here--http://i207.photobucket.com/albums/bb121/jpbanks/Capturadepantalla2010-06-02alas1902.png I tried floating all the DIV's to the left, but they are not aligned correctly into lines: image here--http://i207.photobucket.com/albums/bb121/jpbanks/Capturadepantalla2010-06-02alas1900.png See how "Prueba" doesn't go all the way to the left? I thought of the jQuery plugin Masonry but what I want is obviously different. Any solution using either CSS or jQuery would be fine. Any ideas?

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• Another floating point question

  - by jeffmax329

  I have read most of the posts on here regarding floating point, and I understand the basic underlying issue that using IEEE 754 (and just by the nature of storing numbers in binary) certain fractions cannot be represented. I am trying to figure out the following: If both Python and JavaScript use the IEEE 754 standard, why is it that executing the following in Python .1 + .1 Results in 0.20000000000000001 (which is to be expected) Where as in Javascript (in at least Chrome and Firefox) the answer is .2 However performing .1 + .2 In both languages results in 0.30000000000000004 In addition, executing var a = 0.3; in JavaScript and printing a results in 0.3 Where as doing a = 0.3 in Python results in 0.29999999999999999 I would like to understand the reason for this difference in behavior. In addition, many of the posts on OS link to a JavaScript port of Java's BigDecimal, but the link is dead. Does anyone have a copy?

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• Using write to print floating point numbers.

  - by Tom

  Hi, As an exercise to achieve something larger, i'm trying to use write to print a floating point number. I haven't done this in a while. I must be doing something wrong because I cant get it to work. Here is my code #include <unistd.h> int main(){ float f = 4.5; write(1,&f,sizeof float); return 0; } However, when running it im getting ?@ Any thoughts? Thanks in advance.

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• Floating point innacuracies

  - by Greg

  While writing a function which will perform some operation with each number in a range I ran into some problems with floating point inaccuracies. The problem can be seen in the code below: #include <iostream> using namespace std; int main() { double start = .99999, end = 1.00001, inc = .000001; int steps = (end - start) / inc; for(int i = 0; i <= steps; ++i) { cout << (start + (inc * i)) << endl; } } The problem is that the numbers the above program outputs look like this: 0.99999 0.999991 0.999992 0.999993 0.999994 0.999995 0.999996 0.999997 0.999998 0.999999 1 1 1 1 1 1.00001 1.00001 1.00001 1.00001 1.00001 1.00001 They only appear to be correct up to the first 1. What is the proper way to solve this problem?

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• floating point equality in Python and in general

  - by eric.frederich

  I have a piece of code that behaves differently depending on whether I go through a dictionary to get conversion factors or whether I use them directly. The following piece of code will print 1.0 == 1.0 -> False But if you replace factors[units_from] with 10.0 and factors[units_to ] with 1.0 / 2.54 it will print 1.0 == 1.0 -> True #!/usr/bin/env python base = 'cm' factors = { 'cm' : 1.0, 'mm' : 10.0, 'm' : 0.01, 'km' : 1.0e-5, 'in' : 1.0 / 2.54, 'ft' : 1.0 / 2.54 / 12.0, 'yd' : 1.0 / 2.54 / 12.0 / 3.0, 'mile' : 1.0 / 2.54 / 12.0 / 5280, 'lightyear' : 1.0 / 2.54 / 12.0 / 5280 / 5.87849981e12, } # convert 25.4 mm to inches val = 25.4 units_from = 'mm' units_to = 'in' base_value = val / factors[units_from] ret = base_value * factors[units_to ] print ret, '==', 1.0, '->', ret == 1.0 Let me first say that I am pretty sure what is going on here. I have seen it before in C, just never in Python but since Python in implemented in C we're seeing it. I know that floating point numbers will change values going from a CPU register to cache and back. I know that comparing what should be two equal variables will return false if one of them was paged out while the other stayed resident in a register. Questions What is the best way to avoid problems like this?... In Python or in general. Am I doing something completely wrong? Side Note This is obviously part of a stripped down example but what I'm trying to do is come with with classes of length, volume, etc that can compare against other objects of the same class but with different units. Rhetorical Questions If this is a potentially dangerous problem since it makes programs behave in an undetermanistic matter, should compilers warn or error when they detect that you're checking equality of floats Should compilers support an option to replace all float equality checks with a 'close enough' function? Do compilers already do this and I just can't find the information.

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• Keeping sync in multiplayer RTS game that uses floating point arithmetic

  - by Calmarius

  I'm writing a 2D space RTS game in C#. Single player works. Now I want to add some multiplayer functionality. I googled for it and it seems there is only one way to have thousands of units continuously moving without a powerful net connection: send only the commands through the network while running the same simulation at every player. And now there is a problem the entire engine uses doubles everywhere. And floating point calculations are depends heavily on compiler optimalizations and cpu architecture so it is very hard to keep things syncronized. And it is not grid based at all, and have a simple phisics engine to move the space-ships (space ships have impulse and angular-momentum...). So recoding the entire stuff to use fixed point would be quite cumbersome (but probably the only solution). So I have 2 options so far: Say bye to the current code and restart from scratch using integers Make the game LAN only where there is enough bandwidth to have 8 players with thousands of units and sending the positions and orientation etc in (almost) every frame... So I looking for better opinions, (or even tips on migrating the code to fixed-point without messing everything up...)

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• Make floating element "maximally wide"

  - by bobobobo

  I have some floating elements on a page. What I want is the div that is floated left to be "maximally wide" so that it is as wide as it possibly can be without causing the red div ("I go at the right") to spill over onto the next line. An example is here: The width:100%; doesn't produce the desired effect! ** I don't want the green element ("I want to be as wide as possible") to go "under" the red element. Its very important that they both stay separate i.e. .. I think they must both be floated! <div class="container"> <div class="a1">i go at the right</div> <div class="a2">i want to be as wide as possible,</div> <div class="clear"></div> </div> <style> div { border: solid 2px #000; background-color: #eee; margin: 8px; padding: 8px; } div.a1 { float:right; background-color: #a00; border: solid 2px #f00; margin: 12px; padding: 6px; } div.a2 { float: left; /*width: 100%;*/ /*this doens't produce desired effect!*/ background-color: #0b0; border: solid 2px #0f0; margin: 12px; padding: 14px; } .clear { border: none; padding: 0 ; margin: 0; clear:both; } </style>

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• c++ floating point precision loss: 3015/0.00025298219406977296

  - by SigTerm

  The problem. Microsoft Visual C++ 2005 compiler, 32bit windows xp sp3, amd 64 x2 cpu. Code: double a = 3015.0; double b = 0.00025298219406977296; //*((unsigned __int64*)(&a)) == 0x40a78e0000000000 //*((unsigned __int64*)(&b)) == 0x3f30945640000000 double f = a/b;//3015/0.00025298219406977296; the result of calculation (i.e. "f") is 11917835.000000000 (*((unsigned __int64*)(&f)) == 0x4166bb4160000000) although it should be 11917834.814763514 (i.e. *((unsigned __int64*)(&f)) == 0x4166bb415a128aef). I.e. fractional part is lost. Unfortunately, I need fractional part to be correct. Questions: 1) Why does this happen? 2) How can I fix the problem? Additional info: 0) The result is taken directly from "watch" window (it wasn't printed, and I didn't forget to set printing precision). I also provided hex dump of floating point variable, so I'm absolutely sure about calculation result. 1) The disassembly of f = a/b is: fld qword ptr [a] fdiv qword ptr [b] fstp qword ptr [f] 2) f = 3015/0.00025298219406977296; yields correct result (f == 11917834.814763514 , *((unsigned __int64*)(&f)) == 0x4166bb415a128aef ), but it looks like in this case result is simply calculated during compile-time: fld qword ptr [__real@4166bb415a128aef (828EA0h)] fstp qword ptr [f] So, how can I fix this problem? P.S. I've found a temporary workaround (i need only fractional part of division, so I simply use f = fmod(a/b)/b at the moment), but I still would like to know how to fix this problem properly - double precision is supposed to be 16 decimal digits, so such calculation isn't supposed to cause problems.

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• Displaying Multimedia Content In A Floating Window Using FancyBox

  While surfing the web you may have come across websites with images and other multimedia content that, when clicked, were displayed in a floating window that hovered above the web page. Perhaps it was a page that showed a series of thumbnail images of products for sale, where clicking on a thumbnail displayed the full sized image in a floating window, dimming out the web page behind it. Have you ever wondered how this was accomplished or whether you could add such functionality to your ASP.NET website? In years past, adding such rich client-side functionality to a website required a solid understanding of JavaScript and the "eccentricities" of various web browsers. Today, thanks to powerful JavaScript libraries like jQuery, along with an active developer community creating plugins and tools that integrate with jQuery, it's possible to add snazzy client-side behaviors without being a JavaScript whiz. This article shows how to display text, images, and other multimedia content in a floating window using FancyBox, a free client-side library. You'll learn how it works, see what steps to take to get started using it, and explore a number of FancyBox demos. There's also a demo available for download that shows using FancyBox to display both text and images in a floating window in an ASP.NET website. Read on to learn more! Read More >Did you know that DotNetSlackers also publishes .net articles written by top known .net Authors? We already have over 80 articles in several categories including Silverlight. Take a look: here.

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• Displaying Multimedia Content In A Floating Window Using FancyBox

  While surfing the web you may have come across websites with images and other multimedia content that, when clicked, were displayed in a floating window that hovered above the web page. Perhaps it was a page that showed a series of thumbnail images of products for sale, where clicking on a thumbnail displayed the full sized image in a floating window, dimming out the web page behind it. Have you ever wondered how this was accomplished or whether you could add such functionality to your ASP.NET website? In years past, adding such rich client-side functionality to a website required a solid understanding of JavaScript and the "eccentricities" of various web browsers. Today, thanks to powerful JavaScript libraries like jQuery, along with an active developer community creating plugins and tools that integrate with jQuery, it's possible to add snazzy client-side behaviors without being a JavaScript whiz. This article shows how to display text, images, and other multimedia content in a floating window using FancyBox, a free client-side library. You'll learn how it works, see what steps to take to get started using it, and explore a number of FancyBox demos. There's also a demo available for download that shows using FancyBox to display both text and images in a floating window in an ASP.NET website. Read on to learn more! Read More >

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• SQL SERVER – Take the Quiz for a chance to win a Quadcopter Drone – Brain Teasers

  - by Pinal Dave

  It has been a long time since we ran quiz. So let us get ready for a quiz. The quiz has two parts. You have to get both the parts correct to win Quadcopter with Camera (we will call it drone). We will be giving away a total of 2 Quadcopters. The quiz is extremely easy and I will ship the Drone anywhere in the world where Amazon will ship it. Let us jump directly to the quiz. Please complete all the three questions of the contest.  Contest Part 1: Brain Teasers There are two questions for you in this part of the contest. Question: There are two 7s. How will you write select statement with a single operator that returns single 7? Hint: SELECT 7(Answer)7 Question: Write down the shortest code that produces 1 without using any numbers in the select statement? Hint: SELECT (Answer) Contest Part 2: Download and Activate Rapid SQL Question: Download and Activate Rapid SQL. Hint: You have to download and activate Rapid SQL. If you do not activate Rapid SQL, you will be disqualified for the contest. Why take risk, let us start! That’s it! Just answer above questions in the following comments area, in following format. Remember: Use comments area right below the blog to take participation in the contest Answer before June 5, 2014 midnight GMT. The winner will be announced on June 8. The winner will be selected randomly from all the valid answers. All the valid answers will be kept hidden till June 5, 2014. There will be a total of two winners. The contest is open for any country of the world where Amazon ships products. Reference: Pinal Dave (http://blog.sqlauthority.com)Filed under: PostADay, SQL, SQL Authority, SQL Puzzle, SQL Query, SQL Server, SQL Tips and Tricks, T SQL

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• Exact textual representation of an IEEE "double"

  - by CyberShadow

  I need to represent an IEEE 754-1985 double (64-bit) floating point number in a human-readable textual form, with the condition that the textual form can be parsed back into exactly the same (bit-wise) number. Is this possible/practical to do without just printing the raw bytes? If yes, code to do this would be much appreciated.

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• Why does 99.99 / 100 = 0.9998999999999999

  - by the-locster

  Whereas 99.99 * 0.01 = 0.99 Clearly this is the age old floating point rounding issue, however the rounding error in this case seems quite large to me; what I mean is I might have expected a result of 0.99990000001 or some similar 'close' result. And for the record I got the same answer in a JavaVM and in a .Net environment.

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• CPU Architecture and floating-point math

  - by Jo-Herman Haugholt

  I'm trying to wrap my head around some details about how floating point math is performed on the CPU, trying to better understand what data types to use etc. I think I have a fairly good understanding of how integer math is performed. If I've understood correctly, and disregarding SIMD, a 32-bit CPU will generally perform integer math at at least 32-bit precision etc. Is it correct that floating-point math is dependent on the presence of a FPU? And that the FPU on the x86 is 80-bit, so floating point math is performed at this precision unless using SIMD? What about ARM?

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• About floating point precision and why do we still use it

  - by system_is_b0rken

  Floating point has always been troublesome for precision on large worlds. This article explains behind-the-scenes and offers the obvious alternative - fixed point numbers. Some facts are really impressive, like: "Well 64 bits of precision gets you to the furthest distance of Pluto from the Sun (7.4 billion km) with sub-micrometer precision. " Well sub-micrometer precision is more than any fps needs (for positions and even velocities), and it would enable you to build really big worlds. My question is, why do we still use floating point if fixed point has such advantages? Most rendering APIs and physics libraries use floating point (and suffer it's disadvantages, so developers need to get around them). Are they so much slower? Additionally, how do you think scalable planetary engines like outerra or infinity handle the large scale? Do they use fixed point for positions or do they have some space dividing algorithm?

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• understanding floating point variables

  - by Syom

  There is some problem, i can't understand anyway. look at this code please <script type="text/javascript"> function math(x) { var y; y = x*10; alert(y); } </script> <input type="button" onclick="math(0.011)"> What must be alerted after i click on button? i think 0.11, but no, it alerts 0.10999999999999999 explain please this behavior. thanks in advance

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• how IEEE-754 floating point numbers work

  - by hatorade

  Let's say I have this: float i = 1.5 in binary, this float is represented as: 0 01111111 10000000000000000000000 I broke up the binary to represent the 'signed', 'exponent' and 'fraction' chunks. What I don't understand is how this represents 1.5. The exponent is 0 once you subtract the bias (127 - 127), and the fraction part with the implicit leading one is 1.1. How does 1.1 scaled by nothing = 1.5???

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• Find max integer size that a floating point type can handle without loss of precision

  - by Checkers

  Double has range more than a 64-bit integer, but its precision is less dues to its representation (since double is 64-bit as well, it can't fit more actual values). So, when representing larger integers, you start to lose precision in the integer part. #include <boost/cstdint.hpp> #include <limits> template<typename T, typename TFloat> void maxint_to_double() { T i = std::numeric_limits<T>::max(); TFloat d = i; std::cout << std::fixed << i << std::endl << d << std::endl; } int main() { maxint_to_double<int, double>(); maxint_to_double<boost::intmax_t, double>(); maxint_to_double<int, float>(); return 0; } This prints: 2147483647 2147483647.000000 9223372036854775807 9223372036854775800.000000 2147483647 2147483648.000000 Note how max int can fit into a double without loss of precision and boost::intmax_t (64-bit in this case) cannot. float can't even hold an int. Now, the question: is there a way in C++ to check if the entire range of a given integer type can fit into a loating point type without loss of precision? Preferably, it would be a compile-time check that can be used in a static assertion, and would not involve enumerating the constants the compiler should know or can compute.

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• floating point precision in ruby on rails model validations

  - by Chris Allison

  Hello I am trying to validate a dollar amount using a regex: ^[0-9]+\.[0-9]{2}$ This works fine, but whenever a user submits the form and the dollar amount ends in 0(zero), ruby(or rails?) chops the 0 off. So 500.00 turns into 500.0 thus failing the regex validation. Is there any way to make ruby/rails keep the format entered by the user, regardless of trailing zeros?

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• IE7 div floating bug

  - by Michael Frey

  I have the following <div id="border" style="width:100%; border:8px solid #FFF"> <div id="menu" style="width:250px; float:left;" > Some menu </div> <div id="content" style="padding-left:270px; width:520px;" > Main page content </div> </div> This gives me a left aligned menu and the content to the right of it, all surrounded by a border. On all browsers including IE8 it displays correctly. But on IE7 the content only starts below the menu, and leaves a big open space to the right of the menu. I have searched all kind of solutions and tried all kinds of combinations of right, left, none for float. clearing left right both. It always displays different on the browsers. Any help is appreciated. Michael

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