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  • Encoding / Error Correction Challenge

    - by emi1faber
    Is it mathematically feasible to encode and initial 4 byte message into 8 bytes and if one of the 8 bytes is completely dropped and another is wrong to reconstruct the initial 4 byte message? There would be no way to retransmit nor would the location of the dropped byte be known. If one uses Reed Solomon error correction with 4 "parity" bytes tacked on to the end of the 4 "data" bytes, such as DDDDPPPP, and you end up with DDDEPPP (where E is an error) and a parity byte has been dropped, I don't believe there's a way to reconstruct the initial message (although correct me if I am wrong)... What about multiplying (or performing another mathematical operation) the initial 4 byte message by a constant, then utilizing properties of an inverse mathematical operation to determine what byte was dropped. Or, impose some constraints on the structure of the message so every other byte needs to be odd and the others need to be even. Alternatively, instead of bytes, it could also be 4 decimal digits encoded in some fashion into 8 decimal digits where errors could be detected & corrected under the same circumstances mentioned above - no retransmission and the location of the dropped byte is not known. I'm looking for any crazy ideas anyone might have... Any ideas out there?

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  • Code Golf: Evaluating Mathematical Expressions

    - by Noldorin
    Challenge Here is the challenge (of my own invention, though I wouldn't be surprised if it has previously appeared elsewhere on the web). Write a function that takes a single argument that is a string representation of a simple mathematical expression and evaluates it as a floating point value. A "simple expression" may include any of the following: positive or negative decimal numbers, +, -, *, /, (, ). Expressions use (normal) infix notation. Operators should be evaluated in the order they appear, i.e. not as in BODMAS, though brackets should be correctly observed, of course. The function should return the correct result for any possible expression of this form. However, the function does not have to handle malformed expressions (i.e. ones with bad syntax). Examples of expressions: 1 + 3 / -8 = -0.5 (No BODMAS) 2*3*4*5+99 = 219 4 * (9 - 4) / (2 * 6 - 2) + 8 = 10 1 + ((123 * 3 - 69) / 100) = 4 2.45/8.5*9.27+(5*0.0023) = 2.68... Rules I anticipate some form of "cheating"/craftiness here, so please let me forewarn against it! By cheating, I refer to the use of the eval or equivalent function in dynamic languages such as JavaScript or PHP, or equally compiling and executing code on the fly. (I think my specification of "no BODMAS" has pretty much guaranteed this however.) Apart from that, there are no restrictions. I anticipate a few Regex solutions here, but it would be nice to see more than just that. Now, I'm mainly interested in a C#/.NET solution here, but any other language would be perfectly acceptable too (in particular, F# and Python for the functional/mixed approaches). I haven't yet decided whether I'm going to accept the shortest or most ingenious solution (at least for the language) as the answer, but I would welcome any form of solution in any language, except what I've just prohibited above! My Solution I've now posted my C# solution here (403 chars). Update: My new solution has beaten the old one significantly at 294 chars, with the help of a bit of lovely regex! I suspected that this will get easily beaten by some of the languages out there with lighter syntax (particularly the funcional/dynamic ones), and have been proved right, but I'd be curious if someone could beat this in C# still. Update I've seen some very crafty solutions already. Thanks to everyone who has posted one. Although I haven't tested any of them yet, I'm going to trust people and assume they at least work with all of the given examples. Just for the note, re-entrancy (i.e. thread-safety) is not a requirement for the function, though it is a bonus. Format Please post all answers in the following format for the purpose of easy comparison: Language Number of characters: ??? Fully obfuscated function: (code here) Clear/semi-obfuscated function: (code here) Any notes on the algorithm/clever shortcuts it takes.

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  • Best fit curve for trend line

    - by Dave Jarvis
    Problem Constraints Size of the data set, but not the data itself, is known. Data set grows by one data point at a time. Trend line is graphed one data point at a time (using a spline/Bezier curve). Graphs The collage below shows data sets with reasonably accurate trend lines: The graphs are: Upper-left. By hour, with ~24 data points. Upper-right. By day for one year, with ~365 data points. Lower-left. By week for one year, with ~52 data points. Lower-right. By month for one year, with ~12 data points. User Inputs The user can select: the type of time series (hourly, daily, monthly, quarterly, annual); and the start and end dates for the time series. For example, the user could select a daily report for 30 days in June. Trend Weight To calculate the window size (i.e., the number of data points to average when calculating the trend line), the following expression is used: data points / trend weight Where data points is derived from user inputs and trend weight is 6.4. Even though a trend weight of 6.4 produces good fits, it is rather arbitrary, and might not be appropriate for different user inputs. Question How should trend weight be calculated given the constraints of this problem?

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  • java jama array problem

    - by agazerboy
    Hi All, I asked a question before but duffymo said it is not clear so i am going to post it again here. I am using Jama api for SVD calculation. I know very well about jama and SVD. Jama does not work if your column are more than rows. I have this situation. What should I do?? any help? I can't transpose the matrix too as it can produce wrong results. Thanks. P.S: I am calculating LSI with the help of jama. I am going like column(docs) and rows ( terms )

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  • polynomial multiplication using fastfourier transform

    - by mawia
    i am going through the above topic from CLRS(CORMEN) (page 834) and I got stuck at this point. Can anybody please explain how the following expression, A(x)=A^{[0]}(x^2) +xA^{[1]}(x^2) follows from, n-1 ` S a_j x^j j=0 Where, A^{[0]} = a_0 + a_2x + a_4a^x ... a_{n-2}x^{\frac{n}{2-1}} A^{[1]} = a_1 + a_3x + a_5a^x ... a_{n-1}x^{\frac{n}{2-1}} WITH REGARDS THANKS

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  • Run a PHP-script from a PHP-script without blocking

    - by Nicklas Ansman
    I'm building a spider which will traverse various sites and data mining them. Since I need to get each page separately this could take a VERY long time (maybe 100 pages). I've already set the set_time_limit to be 2 minutes per page but it seems like apache will kill the script after 5 minutes no matter. This isn't usually a problem since this will run from cron or something similar which does not have this time limit. However I would also like the admins to be able to start a fetch manually via a HTTP-interface. It is not important that apache is kept alive for the full duration, I'm, going to use AJAX to trigger a fetch and check back once in a while with AJAX. My problem is how to start the fetch from within a PHP-script without the fetch being terminated when the script calling it dies. Maybe I could use system('script.php &') but I'm not sure it will do the trick. Any other ideas?

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  • Problem deploying Rails with Passenger to Mac OS X Leopard Server

    - by Meltemi
    I'm spinning my wheels... Apache is working and serving static html, png, etc. normally. Trying to get Passenger to serve a rails app out of www.mydomain.com/rails/ as it stands when i try to hit my app: www.mydomain.com/rails/myapp/railsclassname I get only an Apache 403 Errors. Nothing in myapp's Production Log. Apache2 access.log: "GET /rails/ HTTP/1.1" 403 1085 Apache2 error.log: [Fri Jun 11 22:44:01 2010] [error] [client 10.0.1.41] File does not exist: /Library/WebServer/wwwroot/rails/railsclassname i've even tried www.mydomain.com/myapp/classname Passenger, obviously, isn't routing requests made into my sub-folder rails/ to my rails app. not sure where i've screwed up. the most obvious thing is "Passenger doesn't seem to be running"... instructions I've followed just say to sudo apachectl graceful, which i've done (as well as stopped/started). new to this so go easy on me! Here's some info that might be helpful. happy to provide more as needed... As per some instruction @ Passenger site i've created a symlink from /Library/WebServer/myapp/rails - /Library/WebServer/rails/myapp/public myhost:myapp joe$ passenger-config --root /Library/Ruby/Gems/1.8/gems/passenger-2.2.14 myhost:myapp joe$ passenger-status ERROR: Phusion Passenger doesn't seem to be running. apollo:myapp joe$ cat /etc/httpd/httpd.conf ... <removed for brevity> ... # Copied From Passenger Installer LoadModule passenger_module /Library/Ruby/Gems/1.8/gems/passenger-2.2.14/ext/apache2/mod_passenger.so PassengerRoot /Library/Ruby/Gems/1.8/gems/passenger-2.2.14 PassengerRuby /System/Library/Frameworks/Ruby.framework/Versions/1.8/usr/bin/ruby # End Passenger Installer NameVirtualHost * <VirtualHost *:80> ServerName www.mydomain.com DocumentRoot /Library/WebServer/rails/myapp/public # <-- be sure to point to 'public'! RackBaseURI /rails <Directory /Library/WebServer/rails/myapp/public> AllowOverride all # <-- relax Apache security settings Options -MultiViews # <-- MultiViews must be turned off order allow,deny Allow from all </Directory> </VirtualHost> This last bit from NameVirtualHost on is pieced together from a number of online material i've found...as i've been desperately trying to find something/anything that'll show Passenger at least has a pulse!?!

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  • Fast permutation -> number -> permutation mapping algorithms

    - by ijw
    I have n elements. For the sake of an example, let's say, 7 elements, 1234567. I know there are 7! = 5040 permutations possible of these 7 elements. I want a fast algorithm comprising two functions: f(number) maps a number between 0 and 5039 to a unique permutation, and f'(permutation) maps the permutation back to the number that it was generated from. I don't care about the correspondence between number and permutation, providing each permutation has its own unique number. So, for instance, I might have functions where f(0) = '1234567' f'('1234567') = 0 The fastest algorithm that comes to mind is to enumerate all permutations and create a lookup table in both directions, so that, once the tables are created, f(0) would be O(1) and f('1234567') would be a lookup on a string. However, this is memory hungry, particularly when n becomes large. Can anyone propose another algorithm that would work quickly and without the memory disadvantage?

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  • How to free port 80 for xampp to work

    - by Alfie
    Please help, I used to be running xampp and it was working perfectly. Then I wanted to try something out and I ran IIS instead of xampp. Now I want to go back to using xampp, but whenever I try to run the apache server it says: Busy... Apache started [port 80] If I go to http://localhost/ then it just says that it can't establish a connection to the server. I have turned off IIS, so I don't see why it shouldn't work. Any suggestions?

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  • Division, Remainders and only Real Numbers Allowed

    - by Senica Gonzalez
    Trying to figure out this pseudo code. The following is assumed.... I can only use unsigned and signed integers (or long). Division returns a real number with no remainder. MOD returns a real number. Fractions and decimals are not handled. INT I = 41828; INT C = 15; INT D = 0; D = (I / 65535) * C; How would you handle a fraction (or decimal value) in this situation? Is there a way to use negative value to represent the remainder? In this example I/65535 should be 0.638, however, with the limitations, I get 0 with a MOD of 638. How can I then multiply by C to get the correct answer? Hope that makes sense.

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  • 3D World to Local transformation

    - by Bill Kotsias
    Hello. I am having a real headache trying to set a node's local position to match a given world position. I was given a solution but, AFAICS, it only takes into account orientation and position but NOT scaling : node_new_local_position = node_parent.derivedOrientation().Inverse() * ( world_position_to_match - node_parent.derivedPosition() ); The node in question is a child of node_parent; node_parent local and derived properties (orientation, position and scaling) are known, as well as its full matrix transform. All the positions are 3d vectors; the orientation is a quaternion; the full transform is a 4x4 matrix. Could someone please help me to modify the solution to support scaling in the node hierarchy? Many thanks in advance, Bill

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  • How to detect if an ellipse intersects(collides with) a circle

    - by php html
    I want to improve a collision system. Right now I detect if 2 irregular objects collide if their bounding rectangles collide. I want to obtain the for rectangle the corresponding ellipse while for the other one to use a circle. I found a method to obtain the ellipse coordinates but I have a problem when I try to detect if it intersects the circle. Do you know a algorithm to test if a circle intersects an ellipse?

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  • PHP fopen returning null on files that work fine with include and get_file_contents

    - by brad allred
    Hi, I have XAMPP installed on a windows 2000 server. everything is working great except the PHP fopen function. I can neither create nor open files with it. the strange thing is that i can include/require/file_get_contents/other file related functions; also fopen does not generate any errors or notices it just returns NULL. I have gone as far as to grant full control of the file and all enclosing folders to everybody but i still get NULL instead of a file pointer. I have tried this on php 5.2.9, 5.2.13, and 5.3.1 with the same effect. i have gone through the php.ini file looking for something that is breaking it; i have even tried deleting and using the basic ini file from a linux box where fopen is working and still nothing. I know i have to restart apache after changing my ini and all that and have been (I have even restarted the server) so thats not it. I am at this poing assuming it is an apache configuration issue somehow, tomorrow im going to run a test through php-cli to make sure. I really don't want to bruise my head anymore over this can some apache/php wizard come to my aid? Hi guys, thanks for the responses. you are right is is not any config problem. the problem has to be with one of my dlls or one of my included files. I just tried the same code that isn't working in a new file without any include and i disabled my custom libraries and it worked. for the record here is what I was doing that wasn't working: $test_file = 'c:\\test.csv';//everybody has full control. is very large. if(file_exists($test_file) && is_readable($test_file)){ $fp = fopen($test_file, 'r'); echo var_export($fp, true);//outputs NULL. on my linux box this is a number. if($fp !== false){ //do the work fread($fp, 10);//throws the error that $fp is not a valid file handle } } something that i am including must be breaking fopen somehow. works as expected in new file with no includes.

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  • Detecting Asymptotes in a Graph

    - by nasufara
    I am creating a graphing calculator in Java as a project for my programming class. There are two main components to this calculator: the graph itself, which draws the line(s), and the equation evaluator, which takes in an equation as a String and... well, evaluates it. To create the line, I create a Path2D.Double instance, and loop through the points on the line. To do this, I calculate as many points as the graph is wide (e.g. if the graph itself is 500px wide, I calculate 500 points), and then scale it to the window of the graph. Now, this works perfectly for most any line. However, it does not when dealing with asymptotes. If, when calculating points, the graph encounters a domain error (such as 1/0), the graph closes the shape in the Path2D.Double instance and starts a new line, so that the line looks mathematically correct. Example: However, because of the way it scales, sometimes it is rendered correctly, sometimes it isn't. When it isn't, the actual asymptotic line is shown, because within those 500 points, it skipped over x = 2.0 in the equation 1 / (x-2), and only did x = 1.98 and x = 2.04, which are perfectly valid in that equation. Example: In that case, I increased the window on the left and right one unit each. My question is: Is there a way to deal with asymptotes using this method of scaling so that the resulting line looks mathematically correct? I myself have thought of implementing a binary search-esque method, where, if it finds that it calculates one point, and then the next point is wildly far away from the last point, it searches in between those points for a domain error. I had trouble figuring out how to make it work in practice, however. Thank you for any help you may give!

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  • How to make ARGB transparency using bitwise operators.

    - by Smejda
    I need to make transparency, having 2 pixels: pixel1: {A, R, G, B} - foreground pixel pixel2: {A, R, G, B} - background pixel A,R,G,B are Byte values each color is represented by byte value now I'm calculating transparency as: newR = pixel2_R * alpha / 255 + pixel1_R * (255 - alpha) / 255 newG = pixel2_G * alpha / 255 + pixel1_G * (255 - alpha) / 255 newB = pixel2_B * alpha / 255 + pixel1_B * (255 - alpha) / 255 but it is too slow I need to do it with bitwise operators (AND,OR,XOR, NEGATION, BIT MOVE)

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  • Rewrite Url with apache2

    - by dhalsim
    Hi, I'm experimenting with CodeIgniter PHP framework, this framework works like: http://localhost:7777/~dhalsim/ci/index.php/blog So, I tried to remove index.php part from there. So far I do these: make $config['index_page'] = "index.php"; to $config['index_page'] = ""; make $config['uri_protocol'] = "REQUEST_URI"; from $config['uri_protocol'] = "AUTO"; enable apache mod_rewrite by "a2enmod rewrite" put a .htaccess file to /ci directory: RewriteEngine on RewriteBase / RewriteCond %{REQUEST_URI} ^system.* RewriteRule ^(.*)$ /index.php/$1 [L] RewriteCond %{REQUEST_FILENAME} !-f RewriteCond %{REQUEST_FILENAME} !-d RewriteRule ^(.*)$ index.php?/$1 [L] And of course restart apache server Here is my apache logs with these configurations: 127.0.0.1 - - [17/Jul/2009:02:21:41 +0300] [localhost/sid#7f48e8ad2968][rid#7f48e8e634c8/initial] (3) [perdir /home/dhalsim/public_html/ci/] strip per-dir prefix: /home/dhalsim/public_html/ci/blog -> blog 127.0.0.1 - - [17/Jul/2009:02:21:41 +0300] [localhost/sid#7f48e8ad2968][rid#7f48e8e634c8/initial] (3) [perdir /home/dhalsim/public_html/ci/] applying pattern '^(.*)$' to uri 'blog' 127.0.0.1 - - [17/Jul/2009:02:21:41 +0300] [localhost/sid#7f48e8ad2968][rid#7f48e8e634c8/initial] (4) [perdir /home/dhalsim/public_html/ci/] RewriteCond: input='/~dhalsim/ci/blog' pattern='^system.*' => not-matched 127.0.0.1 - - [17/Jul/2009:02:21:41 +0300] [localhost/sid#7f48e8ad2968][rid#7f48e8e634c8/initial] (3) [perdir /home/dhalsim/public_html/ci/] strip per-dir prefix: /home/dhalsim/public_html/ci/blog -> blog 127.0.0.1 - - [17/Jul/2009:02:21:41 +0300] [localhost/sid#7f48e8ad2968][rid#7f48e8e634c8/initial] (3) [perdir /home/dhalsim/public_html/ci/] applying pattern '^(.*)$' to uri 'blog' 127.0.0.1 - - [17/Jul/2009:02:21:41 +0300] [localhost/sid#7f48e8ad2968][rid#7f48e8e634c8/initial] (4) [perdir /home/dhalsim/public_html/ci/] RewriteCond: input='/home/dhalsim/public_html/ci/blog' pattern='!-f' => matched 127.0.0.1 - - [17/Jul/2009:02:21:41 +0300] [localhost/sid#7f48e8ad2968][rid#7f48e8e634c8/initial] (4) [perdir /home/dhalsim/public_html/ci/] RewriteCond: input='/home/dhalsim/public_html/ci/blog' pattern='!-d' => matched 127.0.0.1 - - [17/Jul/2009:02:21:41 +0300] [localhost/sid#7f48e8ad2968][rid#7f48e8e634c8/initial] (2) [perdir /home/dhalsim/public_html/ci/] rewrite 'blog' -> 'index.php?/blog' 127.0.0.1 - - [17/Jul/2009:02:21:41 +0300] [localhost/sid#7f48e8ad2968][rid#7f48e8e634c8/initial] (3) split uri=index.php?/blog -> uri=index.php, args=/blog 127.0.0.1 - - [17/Jul/2009:02:21:41 +0300] [localhost/sid#7f48e8ad2968][rid#7f48e8e634c8/initial] (3) [perdir /home/dhalsim/public_html/ci/] add per-dir prefix: index.php -> /home/dhalsim/public_html/ci/index.php 127.0.0.1 - - [17/Jul/2009:02:21:41 +0300] [localhost/sid#7f48e8ad2968][rid#7f48e8e634c8/initial] (2) [perdir /home/dhalsim/public_html/ci/] trying to replace prefix /home/dhalsim/public_html/ci/ with / 127.0.0.1 - - [17/Jul/2009:02:21:41 +0300] [localhost/sid#7f48e8ad2968][rid#7f48e8e634c8/initial] (5) strip matching prefix: /home/dhalsim/public_html/ci/index.php -> index.php 127.0.0.1 - - [17/Jul/2009:02:21:41 +0300] [localhost/sid#7f48e8ad2968][rid#7f48e8e634c8/initial] (4) add subst prefix: index.php -> /index.php 127.0.0.1 - - [17/Jul/2009:02:21:41 +0300] [localhost/sid#7f48e8ad2968][rid#7f48e8e634c8/initial] (1) [perdir /home/dhalsim/public_html/ci/] internal redirect with /index.php [INTERNAL REDIRECT] Here is the result in Firefox: 404 Not Found: The requested URL /index.php was not found on this server. So, what should I do (or where am I wrong) to get work these URLs? http://localhost:7777/~dhalsim/ci/blog/ instead of http://localhost:7777/~dhalsim/ci/index.php/blog/

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  • probability and relative frequency

    - by Alexandru
    If I use relative frequency to estimate the probability of an event, how good is my estimate based on the number of experiments? Is standard deviation a good measure? A paper/link/online book would be perfect. http://en.wikipedia.org/wiki/Frequentist

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  • Laplacian of Gaussian

    - by Don
    I am having trouble implementing a LoG kernel. I am trying to implement 9x9 kernal with theta = 1.4 as shown in this link http://homepages.inf.ed.ac.uk/rbf/HIPR2/log.htm. However, I am having difficulty with the formula itself.For whatever values I input into the formula, I don't get any of the values in a 9x9 LoG kernel with theta = 1. 4. If someone can provide an example of how they got one of the big values ie -40 or -23, or the code to implement it, It'd be greatly appreciated. Thank you

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  • Pool Billiard AI

    - by Sebi
    Im implementing a pool billiard game in Java and it all works fine. It is a multiplayer game, but nevertheless, it should also be possible to play it alone. For this purpose I'm trying to implement a simple KI. At the moment, the KI choose just randomly a direction and a random intensity of the impulse (don't know the correct english word for that). Of course this AI is very poor and unlikely to ever challenge a player. So i thought about improving the KI, but there are several hard to solve problems. First I thought of just choosing the nearest ball and to try to put it directly into the nearest hole. This isn't that bad, but if there other balls in the line between, it isn't really working anymore. Additionally this dosn't solve te problem of calculating the intensity of the impulse. So are there any general advice? Or any ideas? Best practices?

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  • Apache2 Segfault - need help interpreting this coredump (suspect cause is memcache / php session related)

    - by WayneDV
    Three Apache2 web servers running a PHP 5.2.3 web site. We're using Memcache to cache rendered pages but also as the storage engine of the PHP Sessions. At peak traffic times we're getting Apache segmentation faults on all three web servers and all HTTPD child processes segfault. My gut tells me that the increased Memcache traffic is stopping PHP sessions from being created or cleaned up and thus the processes die. Is it possible for someone to confirm that from the following? : #0 _zend_mm_free_int (heap=0x7fb67a075820, p=0x7fb67a011538) at /usr/src/debug/php-5.3.3/Zend/zend_alloc.c:2018 #1 0x00007fb665d02e82 in mmc_buffer_free (request=0x7fb67a011548) at /usr/src/debug/php-pecl-memcache-3.0.4/memcache-3.0.4/memcache_pool.c:50 #2 mmc_request_free (request=0x7fb67a011548) at /usr/src/debug/php-pecl-memcache-3.0.4/memcache-3.0.4/memcache_pool.c:169 #3 0x00007fb665d031ea in mmc_pool_free (pool=0x7fb67a00e458) at /usr/src/debug/php-pecl-memcache-3.0.4/memcache-3.0.4/memcache_pool.c:917 #4 0x00007fb665d0a2f1 in ps_close_memcache (mod_data=0x7fb66d625440) at /usr/src/debug/php-pecl-memcache-3.0.4/memcache-3.0.4/memcache_session.c:185 #5 0x00007fb66d1b0935 in php_session_save_current_state () at /usr/src/debug/php-5.3.3/ext/session/session.c:625 #6 php_session_flush () at /usr/src/debug/php-5.3.3/ext/session/session.c:1517 #7 0x00007fb66d1b0c1b in zm_deactivate_session (type=<value optimized out>, module_number=<value optimized out>) at /usr/src/debug/php-5.3.3/ext/session/session.c:2171 #8 0x00007fb66d2a719c in module_registry_cleanup (module=<value optimized out>) at /usr/src/debug/php-5.3.3/Zend/zend_API.c:2150 #9 0x00007fb66d2b1994 in zend_hash_reverse_apply (ht=0x7fb66d629d60, apply_func=0x7fb66d2a7180 <module_registry_cleanup>) at /usr/src/debug/php-5.3.3/Zend/zend_hash.c:755 #10 0x00007fb66d2a5c0d in zend_deactivate_modules () at /usr/src/debug/php-5.3.3/Zend/zend.c:866 #11 0x00007fb66d2541b5 in php_request_shutdown (dummy=<value optimized out>) at /usr/src/debug/php-5.3.3/main/main.c:1607 #12 0x00007fb66d32e037 in php_apache_request_dtor (r=0x7fb67a229658) at /usr/src/debug/php-5.3.3/sapi/apache2handler/sapi_apache2.c:509 #13 php_handler (r=0x7fb67a229658) at /usr/src/debug/php-5.3.3/sapi/apache2handler/sapi_apache2.c:681 #14 0x00007fb6784166f0 in ap_run_handler (r=0x7fb67a229658) at /usr/src/debug/httpd-2.2.15/server/config.c:158 #15 0x00007fb678419f58 in ap_invoke_handler (r=0x7fb67a229658) at /usr/src/debug/httpd-2.2.15/server/config.c:372 #16 0x00007fb6784254f0 in ap_process_request (r=0x7fb67a229658) at /usr/src/debug/httpd-2.2.15/modules/http/http_request.c:282 #17 0x00007fb678422418 in ap_process_http_connection (c=0x7fb67a2193a8) at /usr/src/debug/httpd-2.2.15/modules/http/http_core.c:190 #18 0x00007fb67841e1b8 in ap_run_process_connection (c=0x7fb67a2193a8) at /usr/src/debug/httpd-2.2.15/server/connection.c:43 #19 0x00007fb678429f4b in child_main (child_num_arg=<value optimized out>) at /usr/src/debug/httpd-2.2.15/server/mpm/prefork/prefork.c:662 #20 0x00007fb67842a21a in make_child (s=0x7fb679cd7860, slot=153) at /usr/src/debug/httpd-2.2.15/server/mpm/prefork/prefork.c:758 #21 0x00007fb67842aea4 in perform_idle_server_maintenance (_pconf=<value optimized out>, plog=<value optimized out>, s=<value optimized out>) at /usr/src/debug/httpd-2.2.15/server/mpm/prefork/prefork.c:893 #22 ap_mpm_run (_pconf=<value optimized out>, plog=<value optimized out>, s=<value optimized out>) at /usr/src/debug/httpd-2.2.15/server/mpm/prefork/prefork.c:1097 #23 0x00007fb678402890 in main (argc=1, argv=0x7fff6fecacb8) at /usr/src/debug/httpd-2.2.15/server/main.c:740 PHP.INI Follows: [PHP] engine = On short_open_tag = On asp_tags = Off precision = 14 y2k_compliance = On output_buffering = 4096 zlib.output_compression = Off implicit_flush = Off unserialize_callback_func = serialize_precision = 100 allow_call_time_pass_reference = Off safe_mode = Off safe_mode_gid = Off safe_mode_include_dir = safe_mode_exec_dir = safe_mode_allowed_env_vars = PHP_ safe_mode_protected_env_vars = LD_LIBRARY_PATH disable_functions = disable_classes = expose_php = On max_execution_time = 30 max_input_time = 60 memory_limit = 128M error_reporting = E_ALL & ~E_DEPRECATED display_errors = Off display_startup_errors = Off log_errors = Off log_errors_max_len = 1024 ignore_repeated_errors = Off ignore_repeated_source = Off report_memleaks = On track_errors = Off html_errors = Off variables_order = "GPCS" request_order = "GP" register_globals = Off register_long_arrays = Off register_argc_argv = Off auto_globals_jit = On post_max_size = 8M magic_quotes_gpc = Off magic_quotes_runtime = Off magic_quotes_sybase = Off auto_prepend_file = auto_append_file = default_mimetype = "text/html" doc_root = user_dir = enable_dl = Off file_uploads = On upload_max_filesize = 2M allow_url_fopen = On allow_url_include = Off default_socket_timeout = 60 [Date] [filter] [iconv] [intl] [sqlite] [sqlite3] [Pcre] [Pdo] [Phar] [Syslog] define_syslog_variables = Off [mail function] SMTP = localhost smtp_port = 25 sendmail_path = /usr/sbin/sendmail -t -i mail.add_x_header = On [SQL] sql.safe_mode = Off [ODBC] odbc.allow_persistent = On odbc.check_persistent = On odbc.max_persistent = -1 odbc.max_links = -1 odbc.defaultlrl = 4096 odbc.defaultbinmode = 1 [MySQL] mysql.allow_persistent = On mysql.max_persistent = -1 mysql.max_links = -1 mysql.default_port = mysql.default_socket = mysql.default_host = mysql.default_user = mysql.default_password = mysql.connect_timeout = 60 mysql.trace_mode = Off [MySQLi] mysqli.max_links = -1 mysqli.default_port = 3306 mysqli.default_socket = mysqli.default_host = mysqli.default_user = mysqli.default_pw = mysqli.reconnect = Off [PostgresSQL] pgsql.allow_persistent = On pgsql.auto_reset_persistent = Off pgsql.max_persistent = -1 pgsql.max_links = -1 pgsql.ignore_notice = 0 pgsql.log_notice = 0 [Sybase-CT] sybct.allow_persistent = On sybct.max_persistent = -1 sybct.max_links = -1 sybct.min_server_severity = 10 sybct.min_client_severity = 10 [bcmath] bcmath.scale = 0 [browscap] [Session] session.save_handler = files session.save_path = "/var/lib/php/session" session.use_cookies = 1 session.use_only_cookies = 1 session.name = PHPSESSID session.auto_start = 1 session.cookie_lifetime = 0 session.cookie_path = / session.cookie_domain = session.cookie_httponly = session.serialize_handler = php session.gc_probability = 1 session.gc_divisor = 1000 session.gc_maxlifetime = 1440 session.bug_compat_42 = Off session.bug_compat_warn = Off session.referer_check = session.entropy_length = 0 session.entropy_file = session.cache_limiter = nocache session.cache_expire = 180 session.use_trans_sid = 0 session.hash_function = 0 session.hash_bits_per_character = 5 url_rewriter.tags = "a=href,area=href,frame=src,input=src,form=fakeentry" [MSSQL] mssql.allow_persistent = On mssql.max_persistent = -1 mssql.max_links = -1 mssql.min_error_severity = 10 mssql.min_message_severity = 10 mssql.compatability_mode = Off mssql.secure_connection = Off [Assertion] [COM] [mbstring] [gd] [exif] [Tidy] tidy.clean_output = Off [soap] soap.wsdl_cache_enabled=1 soap.wsdl_cache_dir="/tmp" soap.wsdl_cache_ttl=86400 /etc/php.d/memcached.ini : session.save_path="tcp://memcache1:11211?persistent=1&weight=1&timeout=3&retry_interval=15"

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  • How to find a binary logarithm very fast? (O(1) at best)

    - by psihodelia
    Is there any very fast method to find a binary logarithm of an integer number? For example, given a number x=52656145834278593348959013841835216159447547700274555627155488768 such algorithm must find y=log(x,2) which is 215. x is always a power of 2. The problem seems to be really simple. All what is required is to find the position of the most significant 1 bit. There is a well-known method FloorLog, but it is not very fast especially for the very long multi-words integers. What is the fastest method?

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